If it were the case that an increase in inflation permanently reduced unemployment, then that would mean: b. money would not be neutral and the long-run Phillips curve would slope downward.
What happens when inflation increases and unemployment decreases?Theoretically, when unemployment rates decline, inflation rates should climb. The Phillips Curve, which has been codified, is used to describe this. Less unemployment, according to the Phillips Curve, equals more spending by consumers, which puts greater pressure on pricing.
A graph showing that, over the long term, there is no correlation between the unemployment rate and inflation; the LRPC is vertical at the natural rate of unemployment.
In comparison to the long-run Philips curve, the short-run Philips curve slopes downward. The unemployment rate and inflation rate are depicted on the X and Y axes, respectively, of the Philips curve.
Correct option: b
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Help me with this math please. Help me quick please.
Answer:
f(x) = 5/2x
Step-by-step explanation:
The parent function for the given equation is f(x) = 1/2x. When this function is vertically stretched by a factor of 5, the resulting function will be f(x) = 5/2x. This means that for any value of x, the output of the transformed function will be 5 times greater than the output of the parent function.
For example, if x = 2, then f(x) = 1/2 * 2 = 1 for the parent function, and f(x) = 5/2 * 2 = 5 for the transformed function. Similarly, if x = 3, then f(x) = 1/2 * 3 = 1.5 for the parent function, and f(x) = 5/2 * 3 = 7.5 for the transformed function.
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State the degree and leading coefficient of the polynomial in one variable. If it is not a polynomial in one variable, explain why.
n+8
degree =
leading coefficient =
Answer: The degree of a polynomial is the highest exponent of the variable in the polynomial. The leading coefficient of a polynomial is the coefficient of the term with the highest degree.
In the expression "n + 8", the highest degree of the variable is 1 and the coefficient of the term with the highest degree is 1. Therefore, the degree of the polynomial is 1 and the leading coefficient is 1.
So, the degree of the polynomial is 1 and the leading coefficient is 1.
Note: If the expression had included terms with higher degrees of the variable, such as "n^2 + 3n + 8", the degree of the polynomial would have been 2 and the leading coefficient would have been 1.
convert the following equation into standard form.
Y= -2x+6
Answer:
x = 3+y
Step-by-step explanation:
is your ans .................
100 POINTS
Find the focus. x^2 = 6y (please explain, I want to understand the solution)
The coordinate of the parabola's focus in the following equation, x2=6y, is (0,3/2)
What are Directrix and Focus?
What are a parabola's focus and directrix? Typically speaking, parabolas are the graphs of quadratic functions. They can alternatively be thought of as the collection of all points whose separation from the focus is the same as their separation from a certain line (the directrix).
What are the focus's coordinates?
The focus's coordinates f(0,a)
The equation that we have given is
x^2 = 6y
We are aware that the parabola's general equation is,
x^2 = 4ay
The axis of symmetry is a line that splits the parabola in half and runs through the focus.
We must ascertain the worth of
6y = 4ay
6 = 4a
a = 6/4 = 3/2
The focus' coordinate (0,3/2) is as a result.
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Franco said 9.37×0.1=93.7 is he correct
Answer:
No, Franco's calculation is incorrect.
Step-by-step explanation:
No, Franco's calculation is incorrect. The correct answer is 9.37 x 0.1 = 0.937.
When multiplying a decimal number by a decimal number, the decimal point in the product should be placed so that the number of decimal places in the product is equal to the sum of the number of decimal places in the factors. In this case, the number 9.37 has two decimal places, and the number 0.1 has one decimal place. Therefore, the product of 9.37 x 0.1 should have a total of 2 + 1 = 3 decimal places.
To obtain the correct answer, we need to multiply 9.37 x 0.1 using standard long multiplication:
Copy code
9.37
x 0.1
0.937
Therefore, the correct answer is 0.937, not 93.7 as Franco stated.
Answer:
No. This is incorrect.
Step-by-step explanation:
9.37 × 1 = 9.37
Times by 1 the number stays the same.
If you multiply by 0.1 the decimal will move one place and the 9.37 should get smaller! The sentence in the problem shows 93.7 which is bigger.
9.37 × 10 = 93.7
9.37 × 0.1 = 0.937
Write a quadratic function in standard form whose graph passes through (-5,0), (0,-8), and (4,0)
The quadratic equation y = (2 / 5) · x² + (2 / 5) · x - 8 contains the points (- 5, 0), (0, - 8) and (4, 0).
How to derive the equation of a parabola
In this problem we find the case of a parabola, parabolae are defined by quadratic equations of the form:
y = a · x² + b · x + c
Where:
a, b, c - Real coefficients.x - Independent variable.y - Dependent variable.First, write the points associated with the parabola:
(x₁, y₁) = (- 5, 0), (x₂, y₂) = (0, - 8), (x₃, y₃) = (4, 0)
Second, create a system of linear equations:
25 · a - 5 · b + c = 0
c = - 8
16 · a + 4 · b + c = 0
Third, resolve the system by numerical methods:
(a, b, c) = (2 / 5, 2 / 5, - 8)
Fourth, write the resulting quadratic equation:
y = (2 / 5) · x² + (2 / 5) · x - 8
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y=-3x+2 and 6x+2y=10
There is no solution to the given system of equations which is the correct answer would be an option (A).
The system of equations is given in the question as:
y = -3x+2 and 6x+2y = 10
These are two equations in the form y = mx + b, where m is the slope and b is the y-intercept.
The first equation, y = -3x + 2, has a slope of -3 and a y-intercept of 2.
The second equation, 6x + 2y = 10, can be rewritten in slope-intercept form as y = -3x + 5. This has a slope of -3 and a y-intercept of 5.
Since both equations have the same slope, they are parallel to each other. This means that they will never intersect, and there is no solution to this system of equations.
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The question seems to be incomplete the correct question would be:
Which statement is true about this system of equations?
y = -3x+2 and 6x+2y = 10
A. there is no solution
B. there is one solution
C. there is many infinite solutions
write x^2+10x+12 in the form (x+a)^2-b
Answer:
(x+5)^2 - 13
Step-by-step explanation:
If you work out the target expression, you get:
(x+a)^2-b = (x+a)(x+a)-b = x^2 + 2ax + a^2 - b
so 2ax must be 10x, hence a = 5
also a^2 - b must be 12, and with a being 5, this means b = 25-12 = 13
Answer:
[tex](x+5)^2 - 13[/tex]
Step-by-step explanation:
In order to convert the given quadratic [tex]x^2 + 10x + 12[/tex] into the form [tex](x+a)^2 - b[/tex], you need to put the given quadratic into vertex form.
⭐What is vertex form?
a way you can rewrite a quadratic equation[tex](x-h)^2 + k[/tex]-(-h) = x-value of the vertex+k = y-value of the vertex⭐How do you rewrite a quadratic in vertex form?
you partially complete the squareI will demonstrate how to "partially complete the square" with the given quadratic.
Given: [tex]x^2 + 10x + 12 = 0[/tex]
Subtract the constant from the LHS and RHS.
[tex]x^2 + 10x = -12[/tex]
Divide the coefficient of the middle term by 2, square that result, and add it to the LHS and RHS.
[tex](\frac{10}{2})^2\\(5)^2\\= 25[/tex]
[tex]x^2 + 10x + 25 = -12 + 25[/tex]
[tex]x^2 + 10x + 25 = 13[/tex]
Write the LHS into the polynomial identity: [tex](a+b)^2[/tex] by factorising
[tex]x^2 + 5x + 5x + 25 = 13[/tex]
[tex]x(x + 5) + 5(x + 5) = 13[/tex]
[tex](x+5)(x+5) = 13[/tex]
[tex](x+5)^2 = 13[/tex]
Subtract 13 from the LHS and RHS.
[tex](x+5)^2 - 13[/tex]
That's it!
⭐if this response helped you, please mark it the "brainliest"!⭐
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The aquarium has one fewer redfish than blue fish. 60% of the fish are blue. How many blue fish are in the aquarium? Show your work.
Answer:
There are 3 blue fish in the aquarium.
Step-by-step explanation:
Let the total number of fish be denoted by T, total number of blue fish be B and total number of red fish be R
We can write, T = B + R
Since the aquarium has one fewer redfish than blue fish, R = B - 1
So,
T = B + (B - 1) = 2B - 1
As 60% of total fish is blue, we can write
60% of T = B
or, (60/100) x T = B
or, 3/5 x T = B
or, 3/5 x (2B - 1) = B
or, 6B - 3 = 5B
or, 6B - 5B = 3
or B = 3
Therefore, there are 3 blue fish in the aquarium.
No. of red fish, R = B - 1 = 3 - 1 = 2
show that if \lamdba is in the point spectrum, the the conjugate is in the union of the point and residual spectra of the adjoint
We are given that [tex]\overline\lambda[/tex] is in the point spectrum and we are to prove that the conjugate is the union of the point and residual spectra of the adjoint.
If [tex]\overline\lambda[/tex] ∈ σp(T∗), then T∗v = [tex]\overline\lambda[/tex]v for some v ∈ D(T∗).
Hence, for all u ∈ D(T) we have -
⟨Tu,v⟩ = ⟨u,T∗v⟩ = ⟨u,[tex]\overline\lambda[/tex]⟩ = λ⟨u,v⟩,
⟨(T−λ)u,v⟩ = 0, for all u ∈ D(T)
If λ ∈ σp(T∗), then T∗v = [tex]\overline\lambda[/tex]v for some v∈D(T∗).
Hence, for all u∈D(T), we have ⟨Tu,v⟩=⟨u,T∗v⟩=⟨u,[tex]\overline\lambda[/tex]v⟩=λ⟨u,v⟩,
and therefore,
⟨(T−λ)u,v⟩=0, for all u∈D(T)
i.e. the range of T−λ is not dense and we will have λ ∈ σr(T) ∪ σp(T).
Hence, proved.
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find the value of x in this problem
Answer: x=22
Step-by-step explanation:
Based on the given figure, we can tell that 2x and 44 are vertical angles. Vertical angles are congruent to each other, so we can set them equal to each other.
2x=44 [divide both sides by 2]
x=22
Therefore, x=22.
PLS HEEEELP 90 POINTS
A skydiver jumps from a plane from an altitude of 8000 ft. An observer on the ground measures the skydiver’s
altitude at time t = 0 to be 7500 ft. The linear graph shows the skydiver’s altitude at various times during her
descent.
(a) Identify the y-intercept. How does the y-intercept relate to the skydiver’s position relative to the
ground? Explain.
(b) Determine the slope of the line. According to the slope, is the skydiver ascending or descending and
what is the rate of ascent or descent? Explain.
(c) Identify the x-intercept. What does the x-intercept mean in this context? Explain.
(d) Write an equation for the line
a) The y-intercept is 7500 ft. It is related to skydiver’s position relative to the ground as the sum of both distance must be equal to 7500 ft.
b) The slope of the line is -2500 ft/min and it denotes that the skydiver is descending.
c) The x-intercept is; 3 seconds
d) An equation for the line is; y = -2500x + 7500
How to find the equation of the line?a) In a distance time graph, the y-intercept is the point at which the time (t) is equal to zero.
We are told that at time t = 0, the altitude is 7500 ft. Thus;
y-intercept = 7500. It is related to skydiver’s position relative to the ground as the sum of both distance must be equal to 7500.
b) Slope;
m = -7500/3
m = -2500.
Thus, as slope is in negative, it means that the skydiver is descending
c) x-intercept is the point at which y = 0 and as such as seen in the graph online;
x-intercept = 3 seconds
d) Equation in slope-intercept form is given by the general form;
y = mx + c
where;
m is slope
c is y-intercept
Thus, in this question, we have;
y = -2500x + 7500
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Enter the missing values below.
83
18xy +48x y
25
(3x+8y²)
According to the given algebraic expression the missing value is [tex]$18 x^8 y^3+48 x^2 y^5= 6x^2y^3 \left(3 x^6+8 y^2\right)$$[/tex].
What is the formula for algebraic expressions?An equation that includes constants, variables, and a few algebraic procedures is said to be algebraic. A good example of an algebraic equation is 3x2 2xy + d. So, three different sorts of fundamental building blocks make up an algebraic expression: Correlation (i.e. integers) (i.e. numbers)
Which five algebraic expressions are there?The subsequent five categories provide further categorization of various algebraic expression forms. These include the monomial, polynomial, binomial, trinomial, and multinomial.
Briefing:[tex]$6.3 x^2x^6 y^3+8.6 x^2 y^3y^2[/tex]
[tex]$18 x^8 y^3+48 x^2 y^5= 6x^2y^3 \left(3 x^6+8 y^2\right)$$[/tex]
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The complete question is-
[tex]\\$factor the algebraic expression.\\$$18 x^8 y^3+48 x^2 y^5=x-y-\left(3 x^6+8 y^2\right)\\\\$Enter the missing values below\\\\$18 x^8 y^3+48 x^2 y^5=\square x\square y\square (3 x^6+8 y^2)$$[/tex]
Sketch the curve with the given vector equation by finding the following points. (Select Update Graph to see your response plotted on the screen. Select the Submit button to grade your response.) r(t) = (t, 9 – t, 2t) r(-9) (x, y, z) r(0) (x, y, z) r(9) (x, y, z)
For sketching the graph we need to know the coordinate of the vector which are r(1) = ⟨−1, 2⟩, r′(1) = ⟨1, 2⟩
Given:-
x = t − 2,
y = t² + 1 ⇒ t = x + 2
⇒ y = (x + 2)2 + 1
⇒ y = x² + 4x + 5
For find r′(t) we have to ,
r′(t) = ⟨1, 2t⟩
To sketch the position vector r(t) and the tangent vector r′(t) for t = 1.
r(1) = ⟨−1, 2⟩, r′(1) = ⟨1, 2⟩
See the above figure. The red vector is r(1) and the blue one is r′(1)
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What’s the remainder
177R[?]
52 9234
The remainder when 9234 is divided by 52 is 30
the quotient is 177 R 30
What is quotient, in math?Division is onw of the mathematical operators that is applied in sharing.
The quotient is the result of dividing two numbers by each other, the number being divided is the dividend while the number dividing is the divisor.
As in the case of 9234 is being divided by 52, the dividend is 9234, while the divisor is 52 the result of the division is the quotient.
the division is done to get
9234 / 52
= 177 30/52
the remainder from the division involving 9234 and 52 is 30, the mixed number is 177 30/52
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Find all values of x for which f(x)=3x^4+4x^3-120x^2+120 has local maxima and minima, as well as the inflection points. Please show all of your work.
The Local maxima and minima will be at X = 0 , 4 , -5 and point of inflation will be at [tex]\frac{(-1 + \sqrt{61})}{3},[/tex] [tex]\frac{(-1 - \sqrt{61})}{3}[/tex].
What is Maxima and Minima ?The curve of a function has peaks and troughs called maxima and minima. A function may have any number of peaks and minima. Calculus allows us to determine any function's maximum and lowest values without ever consulting the function's graph. Maxima will be the curve's highest point within the specified range, while minima will be its lowest.
Extrema is the result of maxima and minima combined. The graph in the graphic below shows several peaks and falls. We obtain the function's maximum and lowest values at x = a and 0 respectively, and at x = b and c respectively. The valleys are the minima and all the peaks are the maximum.
The peaks and minima of the function that appear in a certain interval are known as local maxima and minima. The value of a function at a place in a certain interval for which the values of the function near that point are always smaller than the value of the function at that point would be considered a local maximum. Local minima, on the other hand, would be the value of the function at a location where the values of the function nearby are higher than the value of the function at that location.
When the concavity of a function's graph (or picture) changes, a point of inflection is identified. We need to determine where the second derivative of the function switches from negative to positive, or vice versa, in order to determine this in algebra. So, we calculate the provided function's second derivative.
The fuction is :
[tex]3x^{4} + 4x^{3} -120x^{2} + 120[/tex]
So for local Maxima and minima first derivatives should be zero
Therefore,
[tex]\frac{d}{dx}\\[/tex] ([tex]3x^{4} + 4x^{3} -120x^{2} + 120[/tex] ) = 0
⇒ [tex]12x^{3} + 12x^{2} - 240x = 0[/tex]
⇒ [tex]x^{3} + x^{2} - 20x = 0[/tex]
⇒[tex]x(x^{2} + x - 20) = 0 \\[/tex]
⇒x(x-4)(x+5) = 0
For x = 0, 4 , -5 there is a local maxima or minima.
Now for Point of Inflation second derivative is zero
Therefore,
[tex]\frac{d^{2} }{dx^{2} }[/tex] ( [tex]3x^{4} + 4x^{3} -120x^{2} + 120[/tex]) = 0
⇒ [tex]\frac{d}{dx}[/tex][tex]12x^{3} + 12x^{2} - 240x = 0[/tex]
⇒ [tex]36x^{2} + 24x - 240 = 0[/tex]
⇒[tex]3x^{2} + 2x - 20 = 0[/tex]
⇒ x = [tex]\frac{(-1 + \sqrt{61})}{3},[/tex] [tex]\frac{(-1 - \sqrt{61})}{3}[/tex]
So the point of inflations are [tex]\frac{(-1 + \sqrt{61})}{3},[/tex] [tex]\frac{(-1 - \sqrt{61})}{3}[/tex].
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Subtract.
−135−(−278)
Enter your answer as a simplified fraction by filling in the boxes.
Answer:143
Step-by-step explanation: When subtracting a negative number from a negative number(a minus sign followed by a negative turns the two signs into a positive sign) you are then adding a positive
The restaurant has 25 boxes of ketchup.
Each box has 250 packets of ketchup.
How many packets of ketchup does the restaurant have?
Answer: 6,250
Step-by-step explanation: As the equation states there are 25 boxes with 250 packs of ketchup take the 25 boxes and multiply the 250 packets
250x25=6,250
Match the values with the statistical measures for these data points. 34,37,39,32,48,45,53,62,58,61,60,41
The median, lower quartile, maximum upper and minimum quartile are
Median = 46.5,Minimum = 32, Maximum = 62, Lower quartile = 38, Upper quartile = 59
How to solve for median and quartiles?The given data for the computations are
32 34 37 39 41 45 48 53 58 60 61 62
We should know that the median is the middle value when the values are arranged in ascending or descending order of magnitude. There are 12 sets of numbers, the median is the mean of the two middle numbers
(45+48)/2=93/2 = 46.5
From the set of numbers, the maximum is the largest number while the minimum is the smallest number. These numbers are 62 and 32 respectively
The lower and upper quartiles, when the set of data is divided into 4 parts, The first part is the lower quartile, the middle is the median and the third is the upper quartile
32 34 37 | 39 41 45 | 48 53 58 | 60 61 62
The lower quartile is given thus
37 + 39 = 76
76 ÷ 2 = 38
The upper quartile is given thus
58 + 60 = 118
118 ÷ 2 = 59
In conclusion, the Median = 46.5, Minimum = 32, Maximum = 62, Lower quartile = 38, Upper quartile = 59
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Complete question:
what is the median,lower quartile,maximum,upper quartile,and the minimum of 34, 37, 39, 32, 48, 45, 53, 62, 58, 61, 60, 41
The statistical measures for the data points are
Mean= 47.5Median: 46.5Mode: No Mode Range: 30 What are statistical measures?Generally, Statistical measures are techniques or formulas used to describe and summarize data in a meaningful way. They provide a way to quantitatively summarize and interpret data and can help to identify patterns, trends, and relationships in the data. Some common statistical measures include:
Mean: This is the average of a set of numbers, calculated by adding all the numbers together and dividing by the total number of items.
Mean=(34+37+39+32+48+45+53+62+58+61+60+41)/12
Mean= 47.5
Median: This is the middle value in a set of numbers when the numbers are arranged in order from least to greatest.
Median= (45+ 48)/2
Median=46.5
Mode: This is the most frequently occurring value in a set of numbers.
There are no numbers that occurred more than once, so no mode
Range: This is the difference between the highest and lowest values in a set of numbers.
Range 62-32
Range =30
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in a homicide case different witnesses picked the same man from a line up. the line up contained 5 men. if the identifications were made by random guesses, find the probability that all witnesses would pick the same person. round to seven decimal places.
Rounding to seven decimal places, the probability that one individual would be selected by all witnesses is 0.0000128.
Six different witnesses chose the same individual from a lineup in a homicide case. There were 5 guys in the lineup. The likelihood that each of the six witnesses would choose the same person if the identifications were done based just on guesswork.
P = 1 ÷ 5 is the likelihood that a witness will choose a certain individual at random.
The likelihood that all seven witnesses would select the same subject is P = [tex](\frac{1}{5})^{7}[/tex]= 0.0000128.
Simply put, the probability is the likelihood that something will occur. We can discuss the probabilities of different outcomes to determine how likely they are if we are unclear about how an event will turn out.
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Digital watches of a certain brand are advertised to have an average lifetime of 800 days. A customer is willing to purchase a watch unless it can be demonstrated that the average lifetime is shorter than what is advertised. A random sample of 50 watches is obtained from the manufacturer and the lifetime of each watch is recorded. In particular, one obtains the sample mean
X
ˉ
=738.44
days and sample variance
S 2
=1459.24
days squared from this sample of digital watches. 1. Explain why the test statistic
ζ= S/ 50
X
ˉ
−μ
has a normal distribution despite the experimenter being unaware of the distribution of the population of digital watches. 2. Devise an appropriate hypothesis test to determine whether the given customer is willing to purchase a digital watch. 3. Conduct the hypothesis test of 2 . at a significance level of
α=0.05
(1) The sample size (n)>30 and population standard deviation (σ) is unknown then we use one sample t-test we get.
(2) There is sufficient evidence to conclude that, the customer is willing to purchase a watch unless it can be demonstrated that the average lifetime is shorter than what is advertised.
Test the hypothesis that the client is prepared to buy a watch unless it can be shown that the average lifespan is shorter than what is claimed using a significance level of α=0.05.
Given that,
Sample size (n)=50
Sample mean (x−)=738.44
Sample standard deviation (S)=38.2 where (S)2=1,459.24
The null and alternative hypothesis are,
H(0): μ≥800
vs
H(1): μ<800
(1) In the given question we have to explain why the test statistic has a normal distribution despite the experimenter being unaware of the distribution of the population of digital watches.
The sample size (n)>30 and population standard deviation (σ) is unknown then we use one sample t-test we get.
(2) In the given question we have to devise an appropriate hypothesis test to determine whether the given customer is willing to purchase a digital watch.
Then test statistic becomes,
t = x−μ/(s/√n)
t = 738.44−800/(38.2/√50)
t = −61.56/5.40229
t = −11.40
Here the test is one tailed (left tailed) at α=0.05
Then degrees of freedom=(n-1)=(50−1)=49
Thus P-value becomes,
P-value = <0.00001
The P-value is less than or equal to α=0.05
Then we reject the null hypothesis H(0).
We use excel command to find the P-value we get,
=T.DIST( x, deg _freedom, TRUE)
=T.DIST(-11.40 , 49,TRUE)
=<0.00001
There is sufficient evidence to conclude that, the customer is willing to purchase a watch unless it can be demonstrated that the average lifetime is shorter than what is advertised.
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The right question is given below:
The National Weather Service says that the mean daily high temperature for October in a large Midwestern city is 56 degree F. A local weather service suspects that this value is not accurate and wants to perform a hypothesis test to determine whether the mean. is actually lower than 56 degree F. A simple of mean daily high temperatures for October over past 37 years yields x = 54 degree F. Assume that the population standard deviation is 5.6 degree F. Perform the hypothesis test at the 1% significance level.
The result of the hypothesis test is that we cannot say if the mean is lower than 56.
Hypothesis are ,
H0 : ц = ц 1
H1 : ц ≠ ц 1
It is to be tested whether the mean daily high temperature for October in a large Midwestern city is actually lower than
56 F or not.
Then the test statistic is equal to minus 2.64610 degrees of tritomas degree of to equal to 1 equal to 29 point,
The appropriate conditions to be sufficed before performing the one-sample z-test are:
(i) The measurement of the sample drawn for the observation must be extensive. The desired threshold is 30.
(ii) Each observation should have an equal opportunity of getting selected in the sample.
(iii) The data need to be normal.
On performing the analysis we conclude that it can not be said with 99 % confidence that the true mean temp is less than 56 F.
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determine whether or not the distribution is a discrete probability distribution and select the reason why or why not. X = 0, 1, 9P( X = x ) | 0.41 | 0.6 | 0.06
Since the probabilities lie exclusively between 0 and 1 and the sum of probabilities is equal to 1 , therefore the yes , the distribution is discrete probability distribution.
As the probabilities range from 0 to 1, and the sum of probability equals 1.
Discrete probability distribution is a sort of probability distribution that provides all potential values of a discrete random variable along with the related probabilities. In other words, a discrete probability distribution describes the possibility of each potential value of a discrete random variable occurring.
Some common discrete probability distributions are geometric distributions, binomial distributions, and Bernoulli distributions. This page defines a discrete probability distribution, as well as its formulas, types, and numerous instances.
To learn more about discrete probability distribution
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if a crew of six workers completes a job in 15 hours how long will it take 10 workers to complete the same job
As no. of crews and time are inversely proportional 10 workers will finish the job in 10 hours.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, A crew of six workers completes a job in 15 hours.
We know more crew will finish the job in less no. of hours so they are inversely proportional.
So, C = k/t.
6 = k/15.
k = 90.
Now, C = 10 hence,
10 = 90/t.
t = 90/10.
t = 10 hours.
So, They can finish in 10 hours.
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No. of coffee sales (undred)
2
18
S
10
15
20
Temperature (°C)
25
30
Describe the relationship between the temperature and the coffee
sales
0
As the temperature decreases, the number of coffee sales
decreases
As the temperature increases, the number of coffee sales
increases
As the temperature increases, the number of coffee sales
decreases
D
There is no trend between the temperature and the number of
coffee sales
LT
The relationship between the temperature and the coffee sales is if the temperature decreases then the number of coffee sales decreases.
So, option a is correct.
What is meant by temperature?The SI unit of temperature according to the International System of Units is Kelvin, indicated by the sign K. The Kelvin scale is widely recognized or used in research and engineering. However, the global standard for measuring temperature is the Celsius or Fahrenheit scale. The unit of measurement known as temperature can be expressed on a number of scales, including the Fahrenheit and Celsius systems. Temperature depicts the direction in which heat energy spontaneously moves, i.e., from a hotter (body with a higher temperature) to a colder (body with a lower temperature) (one at a lower temperature).
The relationship between the temperature and the coffee sales is if the temperature decreases then the number of coffee sales decreases.
Hence, option a is correct.
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Can someone help me with this real quick?
Answer:
y = 5
Step-by-step explanation:
the line is horizontal and has always y = 5
Given f(x)=3x+4 find f(4)
Answer:
Step-by-step explanation:
To find f(4), you can substitute 4 for x in the equation f(x) = 3x + 4. This gives you:
f(4) = 3(4) + 4
= 12 + 4
= 16
Therefore, f(4) = 16.
A subscription to a program normally costs $36 but is on sale for 25% off. A 7% tax is added at checkout. What is the total cost? $28.89 $45.59 $9.00 $27.00
Answer:
$28.89
Step-by-step explanation:
he subscription is on sale for 25% off, so the cost is $36 - (25% * $36) = $36 - $9 = $27.
Then, a 7% tax is added at checkout, so the total cost is $27 + (7% * $27) = $27 + $1.89 = $28.89.
Therefore, the total cost is $28.89.
Answer:
Step-by-step explanation:
36 will be 27 and 7% of 27 should be added 1,89 so 28,89
8. The number 86.345 correct to one decimal place is
Answer:
86.3
Step-by-step explanation:
86.345
step 1
identify their place values
8 — Tens
6 — Units
.3 — tenth( 1 decimal place)
.34 — Hundredth (2 decimal place)
.345 — Thousandth ( 3 decimal place)
to one decimal place is
= 86.3
remember 4 is a round down number so .345 can't actually affect the 3
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The balance on Howard Gessner’s American Express card on August 1 is $543.27. In August, he charges an additional $201.25 of purchases, has returns of $89.22, and makes a payment of $300. If the finance charges are calculated at 1.5% per month on the unpaid balance, find the balance on September 1.
Mathematically, the balance on Howard Gessner's American Express card on September 1 is $360.63.
How do we determine the balance?The ending balance on September 1 is determined using the mathematical operations of addition, subtraction, and multiplication (for the finance charge).
The finance charge is the interest and other fees paid for borrowing credit.
The finance charge is always based on a percentage, called the annual or monthly percentage rate (APR or MPR).
In this situation, the monthly percentage rate is applied to the unpaid balance (multiplication) at the end of August, to determine the finance charge, which is added to the unpaid balance to compute the September 1 balance.
August 1 Balance = $543.27
Purchases 201.25
Returns (89.22)
Payments (300.00)
Unpaid balance $355.30
Finance charge 5.33 ($355.30 x 1.5%)
September 1 Balance $360.63
Thus, using mathematical operations, the balance on September 1 is $360.63.
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