The statement that is correct based on the data is that the table shows a proportional relationship
How to determine the true statementFrom the question, we have the following parameters that can be used in our computation:
Mango Used Smoothie Size
Kim 1 8 oz
Bri 3 24 oz
Angela 4 32 oz
Express properly
So, we have
Mango Used Smoothie Size
Kim 1 8 oz
Bri 3 24 oz
Angela 4 32 oz
Start by checking if the table has a constant rate
This is represented as
Constant rate = Smoothie Size/Mango Used
So, we have
Constant rate = 8/1 = 8
Constant rate = 24/3 = 8
Constant rate = 32/4 = 8
See that the constant rate is the same for all values
Hence, the table shows a proportional relationship
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Which ordered pair makes both inequalities true? y > -2x + 3 and y < x - 2
(0, 0) (0, -1) (1, 1) (3, 0)
Answer:
Step-by-step explanation:
The answer is (3,0)
You need to plug in the values of x and y to figure it out, because a coordinate is in the form (x,y) so in (3,0) 3 is the x value and 0 is the y value.
If you plug (3,0) into the first inequality y > -2x+3 you get 0 > -3 which is true
steps
-2(3) +3 = -3
And if you plug (3,0) into the second inequality y < x-2 you get 0 < 1 which is also true
So basically just plug in the values of x and y into the inequality and test if it works on one of the inequalities you've been given if it doesn't try the next order pair, if it does try it on the other inequality and check if it works on it to.
Determine if the solution is rational or irrational.
√8+ √8
Rational
Irrational
Answer:
Irrational
Step-by-step explanation:
[tex]\sqrt{8} =\sqrt{4 \cdot 2} = \sqrt{4} \cdot \sqrt{2} = 2\sqrt{2}[/tex] and this is irrational
So [tex]\sqrt{8} + \sqrt{8} = 2\sqrt{8} = 2 \cdot 2\sqrt{2} = 4\sqrt{2}[/tex] which is irrational
(adding an irrational number to anything gives an irrational number)
A circle has a diameter of 100 inches. Which expression could be used to find the area of the circle?
100² × π
50² X π
2 × 50² × π
2× 10² x π
Please help if possible
The correct expression for the area of the circle will be;
⇒ 50² × π
What is Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Given that;
A circle has a diameter of 100 inches.
Now,
Since, A circle has a diameter of 100 inches.
Hence, A circle has a radius = 100/2 = 50 inches.
We know that;
The area of circle = πr²
Where, 'r' is radius of the circle.
Substitute all the values, we get;
⇒ The area of circle = πr²
⇒ The area of circle = 50² × π
Thus, The correct expression is,
⇒ 50² × π
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One week, Jayden earned $87.50 at his job when he worked for 5 hours. If he is paid
the same hourly wage, how many hours would he have to work the next week to earn
$105.00?
Answer:
Here answer
Step-by-step explanation:
To find the number of hours Jayden would have to work to earn $105.00, we need to first find his hourly wage. We can do this by dividing his total earnings by the number of hours he worked:
hourly wage = total earnings / number of hours worked
= $87.50 / 5 hours
= $17.50/hour
Now that we know Jayden's hourly wage, we can use it to find the number of hours he would have to work to earn $105.00. We can do this by dividing the total amount he wants to earn by his hourly wage:
number of hours = total earnings / hourly wage
= $105.00 / $17.50/hour
= 6 hours
Therefore, Jayden would have to work for 6 hours to earn $105.00 at his job.
Select the three equations that pass through the points (–4, –16) and (5, 2): y + 4 = 2(x – 16) y – 2 = 2(x – 5) y = 2x – 8 y + 16 = 2(x + 4)
Answer is B C D
The equations that passes through the points, (–4, –16) and (5, 2), are:
y – 2 = 2(x – 5)
y = 2x – 8
y + 16 = 2(x + 4)
How to Find the Equations that Pass through a Point?To find the equation that passes through the points (–4, –16) and (5, 2), substitute each of the values of the points into the equations and see if it makes it true.
(–4, –16) = (x, y) into y + 4 = 2(x – 16):
-16 + 4 = 2(-4 – 16)
-12 = -40 [not true]
The equation does not passes through the point.
(–4, –16) = (x, y) into y – 2 = 2(x – 5):
-16 – 2 = 2(-4 – 5)
-18 = -18 [true]
The equation passes through the point.
(–4, –16) = (x, y) into y = 2x – 8:
-16 = 2(-4) - 8
-16 = -16 [true]
(–4, –16) = (x, y) into y + 16 = 2(x + 4):
-16 + 16 = 2(-4 + 4)
0 = 0 [true]
Therefore, the answers are:
y – 2 = 2(x – 5)
y = 2x – 8
y + 16 = 2(x + 4)
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What's the slope of the line connecting (-3, -6) and (-6, -8)? (You may enter your answer as a fraction. Otherwise, round
your answer to 2 decimal places.)
Answer:
Two-thirds
Step-by-step explanation:
slope is
∆y/∆x = (y2-y1) divided by (x2-x1)
= (-8-(-6)) divided by (-6-(-3))
= -2 divided by -3
= 2/3
How many 3/4-cup servings are in 5/12 cups of yogurt?
an airplane begins its descent with an average speed of 240 at an angle of depression of . how much altitude will the plane lose in ? round to the nearest tenth of a mile.
At an average speed of 240 mph and an angle of depression of 45 degrees, the plane will lose 1.1 miles of altitude.
1. Convert the average speed of 240 mph into feet per second: 240 mph x 1.467 = 352 feet per second
2. Calculate the total distance traveled by the plane in one second: 352 x 1 = 352 feet
3. Calculate the total vertical distance traveled by the plane in one second: 352 x sin45 = 250 feet
4. Calculate the total altitude lost by the plane in 1 second: 250 x 1 = 250 feet
5. Calculate the total altitude lost by the plane in 1 minute: 250 x 60 = 15,000 feet
6. Convert the total altitude lost in feet to miles: 15,000 feet / 5,280 = 2.84 miles
7. Round to the nearest tenth of a mile: 2.84 miles = 1.1 miles
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A food scientist studies the relationship between mass and calories in different types of
burritos. the scatter plot shows the data for 15 types of burritos. based on a line of best fit
for the data,
The number of calories for 180-gram burrito is 392
How to determine the number of calories for 180-gram burritoFrom the question, we have the following parameters that can be used in our computation:
The scatter plot
From the line of the best fit on the scatter plot, we have the following points
(0, 250) and (190, 400)
A linear function is modelled by:
y = mx + b
In which:
m is the slope, which is the rate of change
b is the y-intercept, which is the value of y when x = 0
Using the above points, we have
b = 250
This means that
y = mx + 250
From the point (190, 400), we have
400 = 190m + 250
So, we have
190m = 150
And, this gives
m = 15/19
So, the equation is
y = 15/19x + 250
For a 180-gram burrito, we have
y = 15/19 x 180 + 250
Evaluate
y = 392
Hence, the number of calories is 392
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What is the equation of line A? b) What is the equation of line B?
Answer:
Equation of line A: y = 4
Equation of line B: x = 8
Step-by-step explanation:
I am not sure how to explain this but those are your answer.
a new washer and dryer set cost $1250 with an annual expenditure of $100 for electricity. The function C(n) =1250+100n/n represents the annual cost of operating the washer-dryer set as a function of n years of owning the set. Which of the following statement(s) about the function is true?
For the question "A new washer and dryer set costs $1250 with an annual expenditure of $100 for electricity..." None of the options are correct
What is annual expenditure?The statement "The annual cost of the washer-dryer set will never exceed $100 during the life of the set" is false because the function C(n) is defined as C(n) = (1250 + 100(n))/n,
A washer-dryer set has an average lifetime of 10ten years
But given the function
C(n) = (1250 + 100(n))/n,
even after 5000 years, the washer-dryer set will still be above $100 as shown below
[tex]C(5000)=\frac{1250+100\left(500000\right)}{500000}[/tex]
C(5000)=100.0025
b) For the given function C(n) = (1250 + 100n) / n, the highest power of x is 1 in both the numerator and denominator. The leading coefficient of the numerator is 100 and the leading coefficient of the denominator is 1, so the horizontal asymptote is the line y = 100.
To find the vertical asymptotes of a rational function, we need to look for values of x that make the denominator equal to 0, but the numerator not equal to 0. These values of x will be the vertical asymptotes of the graph.
For the given function C(n) = (1250 + 100n) / n, the denominator is n, so the vertical asymptotes are x = 0.
Therefore, the asymptotes of the graph of C(n) = (1250 + 100n) / n are the horizontal asymptote y = 100 and the vertical asymptote x = 0.
The statement "The asymptotes of the function are at x = –12.5 and y = 100" is false because a function does not have asymptotes if it is defined for all values of x. In this case, the function C(n) is defined for all positive values of n, so it does not have asymptotes.
c) The statement "The annual cost after 10 years is $225 assuming only purchase and electricity expenses" is false because the annual cost after 10 years is given by
C(10) = (1250 + 100*10)/10
C(10)=225
But
= 225 + 100 (10)
=225000
Therefore, the annual cost after 10 years is $225000, not $225.
Hence given this none of the Options are correct
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CQ
A new washer and dryer set costs $1250 with an annual expenditure of $100 for electricity.
The function C(n) =1250+100n/n represents the annual cost of operating the washer-dryer set (besides the $100 for electricity) as a function of n years of owning the set.
Which of the following statement(s) about the function is true?
I. The annual cost of the washer-dryer set will never exceed $100 during the life of the set.
II. The asymptotes of the function are at x = –12.5 and y = 100.
III. The annual cost after 10 years is $225 assuming only purchase and electricity expenses.
F I only
G I and II only
H I and III only
J I, II, and III
A shopper needs 24 sandwich rolls the store sells identical rolls and two differently sized packages the store sells a six-pack for $5.28 and four-packs for $3.40 should the shopper buy four six-packs or four 4-packs?
The shopper must buy six 4-packs sandwiches.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Number of sandwiches to buy = 24
Cost of six-pack sandwiches = $5.28
Cost of four-pack sandwiches = $3.40
Cost of 24 sandwiches from the six-pack.
= 4 x 5.28
= $21.12
Cost of 24 sandwiches from the four-pack.
= 6 x 3.40
= $20.4
Thus,
Six four-pack sandwiches are cheaper than four six-pack sandwiches.
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Evaluate each function.
g(n)=-n+ 5; Find g(1)
B) 4
D) -3
A) 6
C) 15
What is the order from least to greatest of the following: 0.7, −0.2, 2.2, and −2.3?
−2.3, −0.2, 0.7, 2.2
2.2, 0.7, −0.2, −2.3
−0.2, 2.2, 0.7, −2.3
0.7, −0.2, −2.3, 2.2
The order from least to greatest is −2.3, −0.2, 0.7, 2.2. The correct option is A.
What is an ascending order?When numbers are arranged in ascending order, they are done so from smallest to largest. We must first compare the numbers before we can arrange them in any order. Compare first, then order. Numbers are arranged in ascending order.
Given that the numbers are 0.7, −0.2, 2.2, and −2.3. The numbers in ascending order will be arranged as,
0.7, −0.2, 2.2, −2.3
-2.3 > -0.2 > 0.7 > 2.2
Hence, the ascending order of the given data is -2.3 > -0.2 > 0.7 > 2.2.
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please helpp its urgent!!!!
Answer:
b. [tex]y = -0.03x + 18.4[/tex]
explanation:
is just some logic. we see the second unit on the x-axis is 4, so let's try that. -0.03 * 4 = -0.12. -0.12 + 18.4 = 18.28. 18.28 lines up with the 18.3 measurement we see. the next closest option brings us to 17.8, so we'll go with b.
Which of the following properties must a relation have in order to be considered an equivalence relation?
A. symmetry
B. reflexivity
C. transitivity
All symmetry, reflexivity, and transitivity are required for an equivalence relationship.
What is equivalence?In mathematics, equivalence refers to the quality of elements of a group or in a set that share common features.
What are the requirements for an equivalence relationship?To have an equivlance relationship, three requirement are needed:
Symmetry: This can be expressed as a = a and this shows the elments at both sides of the equal symbol can be considered as equivalent.Reflexivity: This can be expressed as a = b then b = a. This property similar to the first property shows sets of numbers are related and equivalent.Transivity: This property can be expressed as If a = b and b = c then a = c. This property implies that if a is equivalent to b, and b is equivalent to c, then it can be concluded a is equivalent to c.Learn more about symmetry in: https://brainly.com/question/1597409
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Question 1-1
Look at the geometric sequence.
8, 64, 512, 4,096, ..
What is the seventh term in the sequence?
O 32,768
O262, 144
O2,097, 152
o 134, 217, 728
The 7th term of the geometry sequence is 2,097, 152. Hence option C is the correct option.
What is a term of a sequence?
A phrase is used to describe each number in the series. The first term in the order 1, 3, 5, 7, 9,... is 1, the second is 3, the third is 5, and so on.
A geometric sequence is sequence such that the pervious term is multiplied by a constant number to get next term. The constant number is known as common ratio.
Given pattern is 8, 64, 512, 4,096, ..
The common ratio is 64/8 = 512/64 = 4096/512 = 8.
The first term of the sequence is 8.
The nth term of geometric sequence is ar^(n-1), where a is the first term, r is the common ratio.
The 7th term of the sequence is 8(8)⁷⁻¹ = 8(8)⁶ = 2,097, 152.
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In the graph below, which value is the dependent variable: Total Cost or Days?
Days
Total cost
The dependent variable represented on the graph is the Total Cost
How to determine the dependent variable?From the question, we have the following parameters that can be used in our computation:
x-axis = Daysy-axis = Total CostAs a general rule:
The variable represented on the y-axis is the dependent variable
From the given parameters, we have
x-axis = Daysy-axis = Total CostThis means that
y-axis = Dependent variable
This can also be expressed as
Dependent variable = Total Cost
This means that the dependent variable is Total Cost
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A box in the shape of a rectangular prism has the dimensions shown. What is the length of the interior diagonal of the box? Round to the nearest tenth. Enter your answer in the box. A rectangular prism 60 centimeters wide, 80 centimeters long, and 100 centimeters tall. A diagonal d is drawn from the upper right rear corner to the lowest left front corner.
It is to be noted that the length of the interior diagonal of the box whose dimensions are Height 100cm, Lenght, 80 cm, and width 60 cm, is 140.4cm.
What is the formula for the length of a right rectangular prism?
Recall that the formula for the diagonal length of a right rectangular prism is calculated as √(l² + w² + h²) units. So, the formula for the length of a right rectangular prism's diagonal is √(l²+w²+h²), where l is the length, b is the breadth, and h is the height.
Plugging in the values we have:
d² = 60² + 80² + 100²
Solving for d, we get:
d = √(660² + 80² + 100²)
= √(3600 + 6400 + 10000)
= √(20000)
= 140.4 cm
Thus, the length of the interior diagonal of the box is 140.4 cm.
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Dwight is packing for a vacation. He is deciding which books to bring. He wants to bring one book from each
genre. Given he has 3 science fiction, 8 business ethics, and 7 beet farming books, how many unique
combinations of books could be bring with him?
The number of unique combinations of books Dwight could bring with him is 168
How to determine the number of unique combinations?From the question, we have the following parameters that can be used in our computation:
Science fiction = 3
Business ethics = 8
Beet farming = 7
The number of unique combination of books is then calculated as
Number of unique combinations = Science fiction * Business ethics * Beet farming
Substitute the known values in the above equation, so, we have the following representation
Number of unique combinations = 3 * 8 * 7
Evaluate the products
Number of unique combinations = 168
Hence, the number of unique combinations is 168
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7. Four-fifths of the senior class went to prom. If
324 seniors went to prom, how many are there
in the senior class?
Answer: 259.2
Step-by-step explanation:
If you take the 324 seniors and divide it by 5 then multiply by four
Which method is best for root finding?
Answer:
on the value of the root may produce a value of the polynomial at the approximate root that is of the order of. For avoiding these problems, methods have been elaborated, which compute all roots simultaneously, to any desired accuracy. Presently the most efficient method is Aberth method.
Use the values log 128≈ 2.1 and log 4≈ 0.6 to find the approximate value of log4 128.
log, 128
The solution is
The approximate value of [tex]log_4128[/tex] is 3.5.
What is logarithm?
The opposite of exponentiation in mathematics is the logarithm. The exponent to which b must be raised in order to produce a number x is therefore the logarithm of a number x to the base b. For instance, since 1000 = 10^3, log10 of 1000 is 3, or log10 = 3.
Given: log 128≈ 2.1 and log 4≈ 0.6
We have to find the approximate value of [tex]log_4128[/tex].
We know that,
[tex]log_ba = \frac{loga}{logb}[/tex]
Here,
[tex]log_4128 = \frac{log128}{log4}[/tex]
Plug the values of log 128 and log 4
⇒ [tex]log_4128 = \frac{log128}{log4} = \frac{2.1}{0.6} = 3.5[/tex]
Hence, the approximate value of [tex]log_4128[/tex] is 3.5.
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11) if 7∧ (1-x) = 2 ∧ (1+x), what is the value of x?
help
Answer:
x = 0.47
Step-by-step explanation:
[tex] {7}^{(1 - x)} = {2}^{(1 + x)} \\ apply \: log \: of \: base \: 7 \: to \: both \: sides \\ log_{7}(7)^{(1 - x)} = log_{7}(2)^{(1 + x)} \\ (1 - x) log_{7}(7) = (1 + x) log_{7}(2) \\ 1 - x = 0.36(1 + x) \\ 1 - x = 0.36 + 0.36x \\ 0.36x + x = 1 - 0.36 \\ 1.36x = 0.64 \\ x = \frac{0.64}{1.36} \\ x = 0.47[/tex]
(co 3) what is the term that describes the data that defines and characterizes other data within an electronic system?
An electronic health record (EHR) is a document that contains information about a patient that has been securely authorised. Medical providers can enter data and update a new encounter using an electronic health record.
By enabling appropriate access to and secure electronic sharing of a patient's critical medical information, the electronic health information exchange (HIE) helps to increase the efficiency, effectiveness, safety, and affordability of patient care.
The "blueprint" of a database, or how the data may link to other tables or other data models, is known as a database schema. The schema does not, however, actually hold any information. A database instance is a sample of data from a database at a specific point in time.
An electronic health record (EHR) is a document that contains information about a patient that has been securely authorised. Medical providers can enter data and update a new encounter using an electronic health record.
Microsoft uses a document format called DOC. A document called a DOC file includes formatted text, graphics, tables, graphs, and charts, among other things.
Data that can be entered in free text style is referred to as unstructured data. Structured data is a type of data that includes check boxes, graphics, tables, and other options that the user can select from.
Since the DOC system uses free text, the EHR's data is structured.
Therefore,
An electronic health record (EHR) is a document that contains information about a patient that has been securely authorised. Medical providers can enter data and update a new encounter using an electronic health record.
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During a single day at radio station WMZH, the probability that a particular song is played is 0.23. What is the probability that this song will be played on exactly 0 days out of 7 days? Round your answer to the nearest thousandth.
The probability that this song will be played on exactly 0 days out of 7 days, if The probability that a particular song is played is 0.23 is 0.008.
What is the combination?A combination is a choice of items from a group of different items, where the order of the choices is irrelevant.
Given:
The probability that a particular song is played is 0.23,
As can be seen that the problem is of combination, so we have to choose 5 out of 7,
Calculate the combination as shown below,
⁷C₅ = 7! / (5! × 2!) = 7 × 6 / 2
⁷C₅ = 7 × 6 / 2
⁷C₅ = 21
Calculate the probability as shown below,
P = ⁷C₅ × (0.23)⁵ × (0.77)²
P = 0.008
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Graph a line that contains (4,3) and has a slope of 1/2
The required equation of line is x - 4y + 8 = 0, and graph is shown below.
What is equation of line?A line's equation is an algebraic way of expressing the collection of points that make up a line in a coordinate system.
The many points that collectively make up a line on the coordinate axis are represented as a group of variables (x, y) to create an algebraic equation, also known as an equation of a line.
Given that,
That line passes through the point (4, 3),
And the slope of the line is 1/2.
To determine the graph of the line,
First find equation of line,
By using formula of line that passes through point (x₁, y₁) and whose slope is m,
y - y₁ m (x - x₁)
Substitute the values here,
y - 3 = 1/4(x - 4)
4y - 12 = x - 4
x - 4y - 4 + 12 = 0
x - 4y + 8 = 0
The required equation is x - 4y + 8 = 0,
The graph of the equation of line is shown below.
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A bag contains four red cards numbered 1 through 4, four white cards numbered 1 through 4, and four black cards numbered 1
hrough 4. You choose a card at random.
The number of possible outcomes in the sample space is
Answer:
64 possible outcomes
Step-by-step explanation:
Since the bag contains four red cards, four white cards, and four black cards, each with a unique number from 1 to 4, there are a total of 4 * 4 * 4 = <<444=64>>64 possible outcomes in the sample space. This means that there are 64 possible cards that could be chosen, and each of these is an equally likely outcome.
Solve the system of linear equations. -3x+5y=13 x+4y=-10
Answer:
Solve for X: -3x + 5y=13 is x=5/3y + −13/3
(Solve for y: 3/5x + 13/5)
Solve for X: x+4y=-10 is x= −4y−10
(solve for y: y= −1/4x + −5/2)
Step-by-step explanation:
Solve for X in -3x + 5y=13:
Step 1: Add -5y to both sides.
−3x+5y+−5y=13+−5y
−3x=−5y+13
Step 2: Divide both sides by -3.
−3x/−3 = −5y + 13/−3
x = 5/3y + −13/3
Solve for Y in -3x + 5y=13:
Step 1: Add 3x to both sides.
−3x + 5y + 3x = 13 + 3x
5y = 3x + 13
Step 2: Divide both sides by 5.
5y/5 = 3x + 13/5
y = 3/5x + 13/5
Solve for X in x+4y=-10:
Step 1: Add -4y to both sides.
x + 4y + −4y = −10 + −4y
x = −4y −10
Solve for Y in x+4y=-10:
x+4y=−10
Step 1: Add -x to both sides.
x + 4y+ −x = −10 + −x
4y=−x−10
Step 2: Divide both sides by 4.
4y/4 = −x − 10/4
y = −1/4x + −
Hope this helps!!By rounding to 1 significant figure, estimate
40.73
×
1.06
By rounding to 1 significant figure, estimate answer is 40
What is significant figures?
Significant figures of a number in positional notation area unit digits within the number that area unit reliable and necessary to point the number of one thing.
Main body:
1) 40.73 to 1 significant figure = 40.
2) 1.06 to 1 significant figure = 1.
3) Therefore, we just multiply 40 by 1, which equals 40.
FURTHER EXPLANATION (IF NEEDED):
With significant figures, whole numbers such as 10, 20, 50 etc. have 1 significant figure. This is because the 0 does not count as a significant figure.
With decimals, all numbers after the decimal point are also included as significant figures (even 0). E.g. 40.73 has 4 significant figures and 1.06 has 3 significant figures.
EXAMPLES (IF NEEDED):
Rounding to 2 significant figures:
40.73 = 42
1.06 = 1.1
Rounding to 3 significant figures:
40.73 = 40.7
1.06 = 1.06 (because it's already in 3 significant figures)
Rounding to 4 significant figures:
40.73 = 40.73 (already in 4 significant figures)
1.06 = 1.060 (0 is counted as a significant figure if there is a decimal or another number comes after that 0)
E.g. 1006 has 4 sig figs, while 1060 would have 3 sig figs because the last 0 is not counted as a significant figure. 10.60 would have 4 sig figs because of the decimal.
Hence , By rounding to 1 significant figure, estimate answer is 40.
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