Answer:
y = - 2x + 5
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = - 2 , then
y = - 2x + c ← is the partial equation
to find c substitute (7, - 9 ) into the partial equation
- 9 = - 14 + c ⇒ c = - 9 + 14 = 5
y = - 2x + 5 ← equation of line
Select the equivalent expression,
1/a(7)
=?
Choose 1 answer:
7(a)
A 1/7
a-7
The equivalent expression to given expression 1/a⁷ is a⁻⁷. So, correct option is A.
The equivalent expression to 1/a⁷ can be found using the rule of exponents.
The rule states that when a non-zero number is raised to a negative exponent, it becomes the reciprocal of the number raised to the positive exponent.
In this case, the expression 1/a⁷ has a negative exponent, which means it can be written as the reciprocal of a raised to the positive exponent:
1/a⁷ = a⁻⁷
So, the correct equivalent expression is option a) a⁻⁷.
Option b) 7ᵃ is not equivalent to 1/a⁷. 7ᵃ means "7 raised to the power of a," which is different from 1/a⁷.
Option c) None of the above is also not correct because option a) a⁻⁷ is indeed the equivalent expression to 1/a⁷.
In summary, the equivalent expression to 1/a⁷ is a⁻⁷, which is option a).
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Complete question is:
Select the equivalent expression,1/a⁷=?
a) a⁻⁷
b) 7ᵃ
c) None of the above
The figure shows parallelogram PQRS on a coordinate plane. Diagonals SQ and PR intersect at point T. P(2b, 2c) Q(?, ?) T S(0, 0) R(2a, 0) Part A Find the coordinates of point Q in terms of a, b, and c.
The coordinates of point Q is the location of point Q in the parallelogram
The coordinates of point Q is (2b + 2a,2c)
How to determine the coordinates of Q?The coordinates are given as:
P(2b, 2c) Q(?, ?) S(0, 0) R(2a, 0)
Since the shape is a parallelogram; it means that the distance PQ is the same as the distance RS.
The distance RS is calculated as:
RS = (2a - 0, 0 - 0)
This gives
RS = (2a, 0)
The coordinates of Q is then calculated using:
Q = P + RS
This gives
Q = (2b,2c) + (2a,0)
Evaluate the sum
Q = (2b + 2a,2c)
Hence, the coordinates of point Q is (2b + 2a,2c)
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f(x) = 3x + 2
What is f(5)?
[tex]f(x)=3x+2\\\\f(5)=3(5)+2 =15+2=17[/tex]
Solve the equation. 2x − 3 4x = 21 x = −12 x = −6 x = 4 x = 6
The solution of the equation after solve the equation, 2x − 3 4x = 21 is 4. Option 3 is correct.
How to obtain the solution of equation?To obtain the solution of an equation, the similar terms should be arranged together and then mathematical operation need to be performed to simplify it.
The equation which is provided to solve is,
[tex]2x - 3 +4x = 21[/tex]
To solve this equation, arrange the like terms as,
[tex]2x - 3 +4x = 21\\2x +4x - 3 = 21\\6x-3=21[/tex]
Add number 3 both side of the equation as,
[tex]6x-3+3=21+3\\6x=24[/tex]
Divide both side of the equation with number 6, we get,
[tex]x=\dfrac{24}{6}\\x=4[/tex]
Hence, the solution of the equation after solve the equation, 2x − 3 4x = 21 is 4. Option 3 is correct.
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the length of a rectangle is x+6 The width of a rectangle is 3x+4 find the perimeter
Answer:
8x + 20 or 4(2x + 5)
Step-by-step explanation:
Perimeter equals length + width times 2. If the width is 3x + 4, and the length is x+6, you first add 3x + 4 + x + 6. You first add the like terms, 3x and x, which is 4x. Now you add 4 and 6, which equals ten. Now, you get 4x + 10. Lastly, you have to multiply it by two. 4x + 10 + 4x + 10 equals to 8x + 20. You add up the like terms 4x and 4x and 10 and 10, to get the total of 8x + 20.
NEED HELP PLEASE!!!!
Answer:
Yes
Step-by-step explanation:
[tex]\sqrt{\frac{2x}{9} }={\frac{\sqrt{2x} }\sqrt{} {9} } =\frac{\sqrt{2x} }{3}=\frac{1}{3}\sqrt{2x}[/tex]
please help it’s for math
Answer:
∠S = 58°
Step-by-step explanation:
RA = AD
∠BAD = ∠SRA
∠BAD + ∠RAB = straight line, 180° (supplementary angles)
Solve for x
∠BAD + ∠RAB = 180°
(6x + 8) + (9x + 7) = 180°
15x + 15 = 180
15x = 165
x = 11
Find ∠S
∠S = 4x + 14
∠S = 4(11) + 14
∠S = 44 + 14
∠S = 58°
I hope this helps!
Which data set does this stem-and-leaf plot represent?
O 15,555, 248, 36, 45, 75,567, 806
O 15, 24, 28, 36, 45, 75, 76, 77, 80, 86
O 5, 5, 5, 5, 4, 8, 6, 5, 5, 5, 6, 7, 0,6
015, 15, 15, 15, 75, 76, 77, 80, 24, 28, 36, 45, 75, 86
O
Answer:
21
Step-by-step explanation:
Answer:
Step-by-step explanation:
5, 5, 5, 5, 4, 8, 6, 5, 5, 5, 6, 7, 0,6
The maker of a cell phone screen protector would like to estimate the proportion of customers who file a warranty claim. To do so, they select a random sample of 200 customers and determine that the 96% confidence interval for the true proportion of customers who file a warranty claim to be 0. 15 to 0. 28. Which of these statements is a correct interpretation of the confidence level?
Approximately 96% of customers file a warranty claim.
The cell phone screen protector maker can be 96% confident that the interval from 0. 15 to 0. 28 captures true proportion of customers who file a warranty claim.
If many random samples of size 200 are selected from the population of all customers, approximately 96% of the sample proportions of customers who file a warranty claim will be between 0. 15 and 0. 28.
If many random samples of size 200 are selected from the population of all customers, about 96% of the intervals constructed from the samples would capture the true proportion of customers who file a warranty claim
According to the interpretation of the confidence interval, the correct statement is:
The cell phone screen protector maker can be 96% confident that the interval from 0.15 to 0.28 captures true proportion of customers who file a warranty claim.
What is the interpretation of a x% confidence interval?It means that we are x% confident that the population parameter(mean/proportion/standard deviation) is between a and b.
In this problem, we have a 96% confidence interval between 0.15 and 0.28, hence we are 96% confident that the population proportion is between these values, and the correct option is:
The cell phone screen protector maker can be 96% confident that the interval from 0.15 to 0.28 captures true proportion of customers who file a warranty claim.
More can be learned about confidence intervals at https://brainly.com/question/25890103
Answer: If many random samples of size 200 are selected from the population of all customers, about 96% of the intervals constructed from the samples would capture the true proportion of customers who file a warranty claim
Step-by-step explanation: took the test
Debra saved only dimes and nickels in her bank. When she last counted the coins, she noticed there were twice as many dimes as nickels. She has $4.75 in her bank. how many dimes did she have in her bank?
A. 12
B. 24
C. 19
D. 38
please help me:)
Will give brainliest. A figure is shown. 4 ft 6 ft Find the area of the figure above =[x] units
Answer:
24 ft sq.
Step-by-step explanation:
Multiply the base and height to get your annswer!
Answer:
24 units²
Step-by-step explanation:
The given shape is a parallelogram.
Here,
Base ( b ) = 6 ft
Height ( h ) = 4 ft
To find : Area
Formula : -
Area of parallelogram = bh
Area of parallelogram
= 6 x 4
= 24 units²
is 5,200 feet 145 inches greater or less than 1 mile 40 inches
Answer:5,200ft and 145in is less than a mile and 40in
Step-by-step explanation: I got this answer by first figuring out how many feet are in 145in so i did 145 divided by 12 which gave me 12.083... so I added just 12 to 5,200 which gives 5,212
Then I know that there are 5,280ft in 1 mile which is already bigger than 5,212 then I still add 40 divided by 12 which equals 3.3... to the total which gives me 5,283ft which is more than 5,212
Hope this Helps!
HELP PLS QUICK!!
A person can travel at the speed of 40 miles per hour. If the speed is increased by 50%, how long will it take to cover 330 miles?
1. Understand
a. What is asked? ____________________________________________
b. What are the given facts? ____________________________________
2. Plan
What is the formula to solve the problem? ____________________________
3. Solve
Show your solution. ______________________________________________
4. Check
Look back. ______________________________________________________
Answer:
5.5 hours
Step-by-step explanation:
1. Understand
A person can travel at the speed of 40 miles per hour (mph). If the speed is increased by 50%, how long will it take to cover 330 miles?
a. What is asked? How long will it take to cover 330 miles travelling at a speed 50% greater than 40 mph
b. What are the given facts?
Current Speed = 40 mph
New Speed = 40 mph + 50% of 40 mph
Distance = 330 miles
2. Plan
Calculate the new speed and then use the two speeds to calculate time based on Distance = Speed x Time
What is the formula to solve the problem?
Distance = Speed x Time
3. Solve
Show your solution.
Original Speed = 40 mph
New Speed = 40 + (0.5)*(40): New = 60 mph
Time at New Speed is:
Distance = Speed x Time
330 miles = (60 mph)*(Time)
Time = (330 miles)/(60 miles/hour)
Time = 5.5 hours
4. Check
Distance = Speed x Time
How far does a person travel going 60 miles/hour for 5.5 hours? Is it 330 miles?
Distance = (60 mph)*(5.5 hours)
Distance = 330 miles
YES
Look back. ___________ Police!Find the volume of the composite solid.
Answer:
366 cm^3
Step-by-step explanation:
V = lwh
1st rectangle (L) = 3 x 6 x 15 = 270 cm^3
2nd rectangle (R) = 6 x 4 x 4 = 96 cm^3
270 + 96 = 366 cm^3
Hope this helps
Mario walked at a rate of 2/3
mile every 10 minutes.
What was his walking rate in miles per hour?
Answer:
Mario's unit rate is 900
Step-by-step explanation:
hooe this helps
Answer:
4mi/hr
Step-by-step explanation:
Mario's walking rate is (2/3mi)/(10min)
Convert minutes to hours:
(2/3mi)/(10min) * (60min)/(1hr) =
(2/3mi*6min)/hr=
4mi/hr
Cole is an urban planner. He wants to create a small scale drawing of a city block. The block is a square with sides of length 100\text{ m}100 m100, start text, space, m, end text.
Draw the city block such that 111 unit on the grid below represents 5\text{ m}5 m5, start text, space, m, end text.
Answer:
Make all sides 3.0
Answer:3.0
Step-by-step explanation:
Write the function that is modeled in the graph below:
The sinusoidal function that is modeled in the graph presented in this question is the expression y = 5 + 3 · sin [π · (x+2)/4], where x and y are the independent and dependent variable, respectively.
How to model a sinusoidal functionIn this question we must analyze periodic functions to determine the most appropriate model that best fit with the graph, the determination of the model will determine the inherent characteristics of the model. The graph seem to be a sinusoidal function.
Sinusoidal functions are bounded functions characterized by use of trigonometric expressions and the presence a lower and a upper bound, a period and phase. The entire formula is described below:
y = r + 0.5*(M-m) · sin [2π · (x-F)/T] (1)
Where:
r - Middle valuem - Lower boundM - Upper boundF - Phasex - Independent valuey - Dependent valueT - PeriodThe period is the time in which a sinusoidal function completes a cycle and the phase is a horizontal translation applied to a canonical sinusoidal function.
If we know that r = 5, m = 2, M = 8, T = 8 and F = -2, then the sinusoidal function is:
y = 5 + 3 · sin [π · (x+2)/4]
The sinusoidal function that is modeled in the graph presented in this question is the expression y = 5 + 3 · sin [π · (x+2)/4], where x and y are the independent and dependent variable, respectively. [tex]\blacksquare[/tex]
To learn more on sinusoidal function, we kindly invite to check this verified question: https://brainly.com/question/12060967
Answer:
hello ace!
we can talk on this answer since that person wont leave the other one =-=
also im not sure sorryy
Step-by-step explanation:
What is the product of a 3 and −2a2 15a 6b2? −2a3 9a2 45a 24b2 −2a3 21a2 45a 24b2 −2a3 9a2 45a 6ab2 18b2 −2a3 21a2 45a 6ab2 18b2
The product of the two equation in which one has single power of variable and another one has the highest power of variable two, is -2a³+9a²+45a+6ab²+18b².
What is the product?Product is the resultant number which is obtained by multiplying a number with another. Let a number a is multiplied by number b. Then the Product of these two number will be,
[tex]p=a\times b[/tex]
Here, (a, b) are the real numbers.
The binomial equation given in the problem is,
[tex]a+ 3[/tex]
The second equation given in the problem is,
[tex]-2a^2 +15a+ 6b^2[/tex]
The product of these two equations are,
[tex]p=(a+3)\times (-2a^2 +15a+ 6b^2)\\p=-2a^3+15a^2+6ab^2-6a^2+45a+18b^2\\p=-2a^3+9a^2+45a+6ab^2+18b^2[/tex]
Thus, the product of the two equation in which one has single power of variable and another one has the highest power of variable two, is -2a³+9a²+45a+6ab²+18b².
Learn more about the product here;
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Answer:
OPTION C
−2a3+9a2+45a+6ab2+18b2
Step-by-step explanation:
100 on edg im swag like tht
6x + 9y = 12
2x + 3y = 7
jamie has 2/3 inches of rope. molly has 6/9 inches of rope who has more
Answer:
Step-by-step explanation:
They have the same amount
You are collecting data to find out what the most popular lunch choice is. Each lunch period, you ask 15 students who buy lunch. There are 4 lunch periods a day. 25 students choose pizza. If there are about 600 students who buy lunch each day, about how many can you predict will buy pizza?
Answer:
250
Step-by-step explanation:
1. Find the total amount of people interviewed
You asked 15 students over 4 periods of lunch. That means you have to multiply:
15 x 4 = 60. You asked 60 people total.
2. Solve
You know that 25 people chose pizza out of the 60 people that you interviewed. That would make a fraction: 25/60
Now, there are 600 people, and the question is asking you how many people will get pizza based on the ratio of 25/60
So, in this case, 25/60 = x/600
You have to multiply 60 by 10 to get 600 as your denominator.
So, similarly, you have to multiply 25 by 10 to keep the same ratio.
25 x 10 = 250
Hence, 250/600 people will buy pizza.
Hope this helps,
-jp524
1. What is the equation of a line that passes through the hypotenuse of the right triangle
in the graph?
A. y=1/5x
B. y=5x
C.y=-5x
D. y=2/5x
Answer:
B.) y = 5x
Step-by-step explanation:
The point-slope test (y₁ - y₂ = m(x₁ - x₂)) can be used to determine the slope of a line. The hypotenuse of a right triangle is the diagonal line, opposite of the right angle. The slope (m) is found using two points on the line.
First point: (1,5) Second Point: (-2,-10)
y₁ - y₂ = m(x₁ - x₂) -----> (y₁ - y₂) / (x₁ - x₂) = m
(5 - (-10)) / (1 - (-2)) = m
(15) / (3) = m
5 = m
The slope-intercept equation (y = mx + b) can be used to determine the y-intercept. The y-intercept is the "y" value when "x" is zero. In the equation, the y-intercept value is represented by "b". This variable can be found using the value of the slope and a point on the line.
Point: (-2,-10) Slope: 5
mx + b = y
5(-2) + b = -10
-10 + b = -10
0 = b
After plugging in the values to the standard form equation, you are left with y = 5x. When "x" increases by one, the "y" value increases by five
HELPPPPP
7 8 ÷ 1 4
A) 3 1 2
B) 4
C) 7 16
D) 7 32
Answer:
A) 3 1/2
Explanation:
[tex]\hookrightarrow \sf \dfrac{7}{8} \div \dfrac{1}{4}[/tex]
rewrite the following
[tex]\hookrightarrow \sf \dfrac{7}{8} * \dfrac{4}{1}[/tex]
join both fractions
[tex]\hookrightarrow \sf \dfrac{7*4}{8}[/tex]
multiply
[tex]\hookrightarrow \sf \dfrac{28}{8}[/tex]
simplify the following
[tex]\hookrightarrow \sf \dfrac{7}{2}[/tex]
turn into mixed fraction
[tex]\hookrightarrow \sf 3\dfrac{1}{2}[/tex]
Answer:
[tex]\dfrac{7}{2}[/tex]
Step-by-step explanation:
Given expression:
[tex]\dfrac{7}{8} \div \dfrac{1}{4}[/tex]
Simplify the expression:
[tex]\implies \dfrac{7}{8} \div \dfrac{1}{4}[/tex]
[tex]\implies \dfrac{7 \div 1}{8 \div 4}[/tex]
[tex]\implies \dfrac{7}{2}[/tex]
Angles P and Q are complementary.
Angle P =2x
Angle Q =7x
Find the value of x. What is the measurement of Angle P? What is the measurement of Angle Q?
Answer:
Explained below.
Step-by-step explanation:
Complementary angles are angles that sum up to 90°.
Here,
Angle P = 2xAngle Q = 7xThen,
Angle P + Angle Q = 90°
2x + 7x = 90°
9x = 90°
x = 90/9
x = 10°
Therefore,
Measurement of Angle P = 2x = 2*10 = 20°Measurement of Angle Q = 7x = 7*10 = 70°[tex]\rule{150pt}{2pt}[/tex]
ANSWER PLS<3 :)))
25 points each!!
see photo below v
Answer:
D
Step-by-step explanation:
f(g(x)) = x when the two functions are inverses
A. f(g(x)) = 2/((x+6)/2) - 6 = (4/(x+6)) - 6 = (4 - 6x - 36)/(x+6) = -(6x+32)/(x+6), wrong
B. f(g(x)) = [tex]\frac{\sqrt[3]{5x^{3} } }{5}[/tex] = x[tex]\frac{\sqrt[3]{5} }{5}[/tex], wrong
C. f(g(x)) = (3x-4)/3 + 4 = x + (8/3), wrong
D. f(g(x)) = 2((x+9)/2) - 9 = x
Chris and Sam earn money shoveling snow, as described below. The amount of money Chris earns can be modeled by the equation y=8.25x, where the y is the total amount of money, in dollars, earned in x hours. The table below shows the relationship between the total amount of money earned,y, in dollars, and the total amount on time worked, x, in hours, for Sam.
Based on the data given on the amounts Chris and Sam are paid, we can infer that Chris earns $0.75 more per hour than Sam.
How much do Chris and Sam earn?Chris earns $8.25 an hour according to the equation that shows how he is paid of y = 8.25x.
The amount earned by Sam can be found as:
= Any value of y / Corresponding value of x
= 30 / 4
= $7.50 per hour.
The difference between their pay is:
= 8.25 - 7.50
= $0.75
In conclusion, Chris earns $0.75 more.
Find out more on wage rates at https://brainly.com/question/24392720.
Find the area and perimeter of each given triangle
Answer:
36 1/2bh= 12*6/2
24 4+8+12
Step-by-step explanation:
The hypotenuse of a right triangle measures centimeters and its shorter leg measures centimeters. What is the measure of the larger acute angle of the triangle
Answer:
hypotenues =base square + height square then squareroot answer
Complete the statement using <, >, or =.
110% of 3 ___ 0.9% of 300
Answer:
>
Step-by-step explanation:
110% of 3 is 3.3
0.9% of 300 is 2.7
Hence, 110% of 3 is > then 0.9% of 300
The ratio of each interior angle to each exterior angle of a regular n-sided polygon is 7:2. Find
the value of n.
Answer:
the value of n is 9
Step-by-step explanation:
7:2=each interior angle/each exterior angle
7:2= (n-2)180/360
7/2=(n-2)/2
14=2n-4
2n=18
n=9