Answer:
48 minutes
240 at 60mph = 4 hrs.
240 at 50 mph = 4.8 hrs.
it would take an extra 60*.8 or 48 minutes
Step-by-step explanation:
The trip will be of 48 minutes longer when the speed is decreased by 10 miles per hour.
What is the formula for time?
The time is given by distance/speed. The unit of time is minutes or seconds.
What will be the time difference?When distance of 240 miles is cover by the speed of 60 miles per hour then the time take to travel this distance will be 240/60=4 hours
When distance of 240 miles is cover by the speed of 50 miles per hour then the time take to travel this distance will be 240/50=4.8 hours
The difference between 4.8 hours and 4 hours is of 0.8 hours or 0.8*60=48 minutes.
Therefore, the trip will be of 48 minutes longer.
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Find the value of x given in the right triangle
Answer: 7.1 units
Step-by-step explanation:
Using Pythagorean theory, c^2 - a^2 = b^2
We know c= 10
We know a=7
We are looking for b
10^2 - 7^2 = b^2
51= b^2
Take square root of both sides
7.1=b
Find the measure of 2
Answer:
92
Step-by-step explanation:
Angle 2 and 92 are corresponding angles and corresponding angles are equal when the lines are parallel
Answer:
[tex]\angle 2=92^{\circ}[/tex]
Step-by-step explanation:
When two parallel lines are cut by a traversal, their corresponding angles are always equal. Corresponding angles can be found if you took each point of intersection and aligned them up with each other.
In this case, we see that [tex]\angle 2[/tex] and the angle marked as 92 degrees correspond with each other. Since all corresponding angles are equal, we have:
[tex]\angle 2=\boxed{92^{\circ}}[/tex]
Given that x= –1/2 and y = 4 , evaluate 3x²y + xy²
Answer:
-5
Step-by-step explanation:
3x²y + xy²
Let x = -1/2 and y = 4
3(-1/2)^2 (4) + (-1/2) (4)^2
Exponents first
3(1/4) (4) + (-1/2) 16
Multiply
3 - 8
Subtract
-5
Answer: [tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd\huge \boldsymbol {-5}[/tex]
Step-by-step explanation: simplify it [tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd \displaystyle\ \Large \boldsymbol{} 3x^2y+xy^2=xy(3x+y)[/tex] evalute [tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd \displaystyle\ \Large \boldsymbol{} -\frac{1}{2} \cdot 4 (-3\cdot \frac{1}{2}+4)=-2\!\!\!\!\diagup\cdot\frac{5}{2\!\!\!\!\diagup} =\boxed{-5}[/tex]
write an example of a monomial of degrees 5
Answer:
find the value of:Cos = 0.54
PLS DO THIS ASAP
no links
Answer:
SPEED ANSWER!!!!
DDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD!!!!!!!!!!PLease help
Belinda is thinking about buying a house for $179,000. The table below shows the projected value of two different houses for three years:
Number of years 1 2 3
House 1 (value in dollars) 186,160 193,606.40 201,350.66
House 2 (value in dollars) 190,000 201,000 212,000
Part A: What type of function, linear or exponential, can be used to describe the value of each of the houses after a fixed number of years? Explain your answer. (2 points)
Part B: Write one function for each house to describe the value of the house f(x), in dollars, after x years. (4 points)
Part C: Belinda wants to purchase a house that would have the greatest value in 30 years. Will there be any significant difference in the value of either house after 30 years? Explain your answer, and show the value of each house after 30 years. (4 points)
There are several types of functions, but this question is limited to just 2 types, which are the exponential function and the linear function.
House 1 has an exponential function of [tex]f(x) = 179000 * 1.04^x[/tex] while house 2 has a linear function of [tex]f(x) =11000x+179000[/tex]. House 1 will have a greater value in 30 years and the difference between the values of the two houses is significant.The given parameters can be represented as:
[tex]\begin{array}{cccc}{Years} & {1} & {2} & {3} & {House\ 1} & {186,160 } & {193,606.40 } & {201,350.66} & {House\ 2} & {190,000 } & {201,000 } & {212,000} \ \end{array}[/tex]
(a): The type of function
First, we check if the function is linear by calculating the difference between each year
House 1
[tex]d = 193606.40 - 186160 = 7446.4[/tex]
[tex]d = 201350.66 - 193606.40 = 7744.26[/tex]
The difference are not equal; hence, the function is not linear. So, we can assume that it is exponential
House 2
[tex]d = 201000 - 190000 =11000[/tex]
[tex]d = 212000 - 201000 =11000[/tex]
The difference are equal; hence, the function is linear.
(b): The function of each
House 1
An exponential function is represented as:
[tex]y = ab^x[/tex]
When [tex]x = 1;\ y =186,160[/tex]
We have:
[tex]186,160 =ab^1[/tex]
[tex]186,160 =ab[/tex] ---- (1)
When [tex]x = 2;\ y =193606.40[/tex]
We have:
[tex]193606.40 =ab^2[/tex] --- (2)
Divide (2) by 1
[tex]\frac{193606.40}{186160} =\frac{ab^2}{ab}[/tex]
[tex]1.04 = b[/tex]
[tex]b = 1.04[/tex]
Make a the subject in (1)
[tex]186,160 =ab[/tex]
[tex]a = \frac{186160}{b}[/tex]
[tex]a = \frac{186160}{1.04}[/tex]
[tex]a = 179000[/tex]
So, the function for house 1 is:
[tex]f(x) = 179000 * 1.04^x[/tex]
House 2
A linear function is represented as:
[tex]y = mx + b[/tex]
First, we calculate the slope (m)
[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]
So, we have:
[tex]m = \frac{201000 - 190000}{2 - 1}[/tex]
[tex]m = \frac{11000}{1}[/tex]
[tex]m = 11000[/tex]
So, the equation is:
[tex]y =m(x-x_1) + y_1[/tex]
Substitute known values
[tex]y =11000(x-1) + 190000[/tex]
[tex]y =11000x-11000 + 190000[/tex]
[tex]y =11000x+179000[/tex]
So, the function for house 2 is:
[tex]f(x) =11000x+179000[/tex]
(c): House with the greatest value in 30 years
This means that:
[tex]x = 30[/tex]
For house 1, we have:
[tex]f(x) = 179000 * 1.04^x[/tex]
[tex]f(30) = 179000 * 1.04^{30}[/tex]
[tex]f(30) = 580568.15[/tex]
For house 2, we have:
[tex]f(x) =11000x+179000[/tex]
[tex]f(30) = 11000 * 30+ 179000[/tex]
[tex]f(30) = 509000[/tex]
By comparison;
[tex]580568.15> 509000[/tex]
House 1 will have a greater value in 30 years
And the difference between the values is significant
The difference is:
[tex]d =580568.15-509000[/tex]
[tex]d =71568.15[/tex]
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Independent Practice
Find the number of solutions of the equation.
0 = x2 + 2x + 9
A.
3
B.
2
C.
1
D.
0
Answer:
Option D
Step-by-step explanation:
There are no real solution for the given equation
Answered by GAUTHMATH
Use the given conditions to write an equations for the line in slope- intercept form. passing through (1,-8) and (-7,8)
Answer:
y = -2x - 6
Step-by-step explanation:
Going from the first point to the second, we see x decreasing by 8 from 1 to -7 (this is the 'run') and y increasing by 16 from -8 to +8 (this is the 'rise'). Thus, the slope of the line through these two points is m = rise/run = 16/(-8) = -2.
Using the point-slope formula y - k = m(x - h) and the point (1, -8), we get:
y + 8 = -2(x - 1), or
y = -8 - 2x + 2, or
y = -2x - 6 (in slope-intercept form)
SOMEONE HELP ME PLEASE
Answer:
1/36
Step-by-step explanation:
There are 6 possible outcomes 1,2,3,4,5,6
P(1) = number of outcomes that equal1 / total
=1/6
Roll again
P(1) = 1/6
These are independent events so we can multiply the probabilities
P(1 roll again 1) = 1/6 * 1/6 = 1/ 36
A cuboid has the length 4cm, width 3cm and length 1.5cm Calculate the volume of the cuboid
Answer:
18 because we will multiply them all together
formula applied was lbh multiplied together. Mark me as the brainliest
Step-by-step explanation:
25. A pizza shop offers 30% off the price of a large pizza every Tuesday
night. If the regular price is $25, what is the discounted price?
Answer:
25 -(.3*25)
25-7.50 = $17.50
Step-by-step explanation:
Answer:
17.50
Step-by-step explanation:
First find the amount of the discount
25 * 30%
25 * .3
7.5
Subtract this from the original amount
25 - 7.5
17.50
5^3x +2 = 25^x – 8
step by step please
Answer:
-8
Step-by-step explanation:
It wont let me upload anything so i will come back with steps later
The circumference of a circle changes from 20 to 4 after a dilation. What was the scale factor of the dilation? StartFraction 1 Over 25 EndFraction One-fifth 5 25
Answer:
B.
Step-by-step explanation:
The radius of the large sphere is times longer than the radius of the small sphere.
How many times the volume of the large sphere is the volume of the small sphere?
Help! Help! Help! Please!
Answer:
A. ¹/27
Step-by-step explanation:
✔️Volume of large sphere = ⁴/3πr³
r = 18.6 in.
Volume of large square = ⁴/3*π*18.6³ = 26954.26 in.³
✔️Volume of small sphere = ⁴/3πr³
r = 6.2 in.
Volume of small sphere = ⁴/3*π*6.2³ = 998.31 in.³
✔️Ratio of the volume of the smaller sphere to the larger sphere = 998.31 : 26954.26
= 1 : 27
Therefore, the volume of the large sphere is ¹/27 of the volume of the small sphere.
Help again this is my last retake
determine the equation of a line that goes through (-1,2) and (7,2)
Answer:
Step-by-step explanation:
To evaluate such, the following must be comprehended:
Slope: Rise/Run.
X-intercept: The peculiar point in which the observed linear data intersects the x-axis.
Y-intercept: The peculiar point in which the observed linear data intersects the y-axis.
To evaluate for the slope, which is defined as the agglomerate distance between two points contained within linear data, the following equation must be utilized:
m = (y2 - y1) / (x2 - x1)
Points utilized or given: (-1, 2) and (7, 2).
2 - 2 / 7 + 1 = 0/8 ==> 0
Henceforth, the slope for the particular configuration, as provided, is understood as zero (0).
Utilizing the integral of one of the points provided, as well as slope evaluated for, the following equation could be exploited:
Point-Slope Formula:
Y- y1 = m(x - x1)
Y - 2 = 0(x - 7)
Y - 2 = 0
Y = 2
Hence, the answer to the peculiar interrogate is disclosed as 2, which is identified as where the horizontal line intersects the y-axis at (0, 2).
*I hope this helps.
simplify -8/2 ÷ 6/-3
Answer: the answer is 2 or C
-8/2 x -3/6
*Always do the recipical*
(-8 x -3) / (2 x 6)
-8 x -3= +24
2 x 6= 12
24/12= 2
The solution of the given expression -8/2 x -3/6 is 2. The correct option is B.
What is an expression?In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.
Given that the expression is,
-8/2 x -3/6
The expression will be solved as below,
E = (-8 x -3) / (2 x 6)
The numerator will get reciprocal and multiplied to the denominator,
E = 24 / 12
Divide the number 24 by 12 and get the solution,
E = 2
Therefore, the solution of the expression will be 2. The correct option is B.
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A runner covers the last straight stretch of a race in 3 s. During that time, he speeds up from 5 m/s to 11 m/s.What is the runner's acceleration in this part of the race?
Answer:
From first Newton's equation of motion:
[tex]{ \bf{v = u + at}}[/tex]
Substitute the variables:
[tex]{ \tt{11 = 5 + (a \times 3)}} \\ { \tt{3a = 6}} \\ { \tt{a = 2 \: {ms}^{ - 2} }}[/tex]
Acceleration is 2 ms-²
If 1 ounce of silver costs $5.50, how much money is needed to buy 2 1/2 pounds of silver?
16 oz = 1 pound
Answer:
0.858
Step-by-step explanation:
2 1/2 from oz to pound is 0.156 and then mutiply that by 5.50 is 0.858
If I take a 7 question multiple choice test, with 4 choices per question, what is the probability that I get 1 wrong
Answer:
The probability is [tex]\frac{3}{4^7}[/tex].
Step-by-step explanation:
Total questions = 7
Number of choices of each question = 4
Probability to give the correct answer = 1/4
Probability to give the wrong answer = 3/4
Probability to give 1 answer wrong
[tex]\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{3}{4}\\\\= \frac{3}{4^7}[/tex]
the numbers written in rectangles are the products of the numbers in connecting circle. Please solve it fast its urgent
Answer:
It is the third one
Step-by-step explanation:
c
what is the solution to this?
Answer:
x = -3,y = 2
Step-by-step explanation:
3x-2y = -13
4x-3y = -18
~~~~~~~~~~~~~~~~
9x -6y = -39
-8x+6y = 36
x = -3
-12 -3y = -18
-3y = -6
y = 2
Arturo's goal is to find a job that provides an income of at least $60,000 a year. Kristen's Furniture offers him a job paying a base salary of $14,000 a year, plus a commission of 7% of his sales. Determine what Arturo's total sales will need to be for him to have a yearly income greater than or equal to $60,000.
If Arturo takes the job with Kristen's Furniture, he will need to have at least
$
in total sales to have a yearly income greater than or equal to $60,000 per year.
Answer:
He will need at least 657,142.86
Step-by-step explanation:
Determine how much commission he needs
60000-14000
46000
Commission is 7%
Let x be the sales
x*7% = 46000
x*.07 = 46000
Divide each side by .07
x = 46000/.07
x =657142.85714
Rounding to the nearest cent
x = 657,142.86
Using trig to solve for missing angles
Answer:
0.9⁰
Step-by-step explanation:
let unknown angle be x
sin x=47/60
sin x=0.783333
x=sin(inverse) 0.7833333
x=0.9⁰
The simple interest formula is I = Prt, where I represents simple interest on an amount, P, for t years at a rate of r, where r is expressed as a decimal.
What is the amount of money, P, that will generate $40 in interest at a 10% interest rate over 5 years?
$60
$80
$90
$100
Answer:
80
Step-by-step explanation:
I = Prt
I = 40 R = .10 T = 5
40 = P (.10)(5)
40 = P(.5)
Divide each side by .5
40/.5 = .5P/.5
80 = P
The interest over 5 years is $80.
The correct option is B.
What is the simple interest?Simple interest is the borrowing amount added only to the principal amount.
The Formula to calculate the simple interest is;
S.I. = P x T x R / 100,
Where S.I. is simple interest, P is the principal amount, T is the time period and R is the interest rate in a year.
We can use the formula I = Prt to solve for P. We know that I = 40, r = 0.10, and t = 5. Substituting these values, we get:
40 = P(0.10)(5)
Simplifying:
40 = 0.5P
Dividing both sides by 0.5:
P = 80
Therefore, the amount of money, P, that will generate $40 in interest at a 10% interest rate over 5 years is $80.
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simplify negative 3 / 8 divided by negative 5 / 6
Answer:
9/20
Step-by-step explanation:
1. 3/8 / 5/6
2. 9/20
Answer:
[tex] \sf \: \frac{9}{20} [/tex]
Step-by-step explanation:
Given problem,
[tex] \sf \rightarrow \: \frac{ - 3 }{ \: 8} \div \frac{ - 5}{ \: 6} [/tex]
Let's solve the problem,
[tex] \sf \rightarrow \: \frac{ - 3}{ \: 8} \div \frac{ - 5}{ \: 6} [/tex]
[tex] \sf \rightarrow \: \frac{ - 3}{ \: 8} \times \frac{ - 6}{ \: 5} [/tex]
[tex] \sf \rightarrow \: \frac{( - 3 \times - 6)}{(8 \times 5)} [/tex]
[tex] \sf \rightarrow \: \frac{18}{40} = \frac{9}{20} [/tex]
Hence, the answer is 9/20.
Let R={0, 1, 2, 3} be the range of h(x) = x - 7. The domain of h inverse is_____.
{-7, -6, -5, -4}
{7, 8, 9, 10}
{0, 1, 2, 3}
Answer:
{-7,-6,-5,-4}
Step-by-step explanation:
Answer:
thats not correct answer thats an odyssey question and i just tried the answer and its not right just wanted everybody to know
Step-by-step explanation:
The total cost of a flower bouquet depends on the types of flowers in the arrangement. A bouquet containing 6 roses, 3 lilies, and 2 carnations costs $26.75. A bouquet containing 3 roses, 4 lilies, and 5 carnations costs $25.50. A bouquet containing 1 of each flower costs $6.75. Which system of equations represents this situation, where r represents the number of roses, l represents the number of lilies, and c represents the number of carnations?
Answer:
Roses 2.70, Lillies 2.45, Carnations 1.60
If one angle of a triangle is 60°and the ratio of other two is 1:3,find all the angles and the ratio of the sides.
Answer:
30, 90
1 : √3 : 2
Step-by-step explanation:
let the smaller angle be x
hence, the other angle = 3x
180-60=4x
4x = 120
x = 120/4 = 30
other angle = 3(30) = 90
the triangle is a 30-60-90 triangle,
hence the ratio of the sides are 1:√3:2
( short leg : long leg : hypotenuse )
Please help!! I am literally in tears!!
Consider the function, y = - 13x +52. Find the inverse of the function by solving it for
x. Then, use the inverse to find a value of y such that x = 182.
Answer:
The customary method of finding the inverse is some variant of the method I'm going to use below. Whatever method you use, make sure you do the exact same steps in the exact same order every time, so you remember those steps when you get to the test.
Find the inverse of y = 3x – 2.
Here's how the process works:
Here's my original function:
y = 3x - 2
Now I'll try to solve for "x =":
y + 2 = 3x
(y + 2)/3 = x
Once I have " x =", I'll switch x and y; the "y =" is the inverse.
y = (x + 2)/3
Then the inverse is y = (x + 2) / 3
If you need to find the domain and range, look at the original function and its graph. The domain of the original function is the set of all allowable x-values; in this case, the function was a simple polynomial, so the domain was "all real numbers". The range of the original function is all the y-values you'll pass on the graph; in this case, the straight line goes on for ever in either direction, so the range is also "all real numbers". To find the domain and range of the inverse, just swap the domain and range from the original function.
Step-by-step explanation:
