Answer:
$84
Step-by-step explanation:
21x4=84
25x4=100
Find the slope and the y-intercept of the graph of the linear equation y=−1/7x+2.
HELP THIS IS SO IMPORTANT I DONT HAVE MUCH TIME! D:
Answer:
slope equals negative 1/7 and the y inter is 2
Write the equation for the graph in slope-intercept form.
Answer:
y = -[tex]\frac{3}{4}[/tex]x + 1
Step-by-step explanation:
y = mx + b
Find two point on the graph (0,1) (4,-2); 1 is the y intercept
y = mx + 1
[tex]\frac{1 + 2}{0 - 4}[/tex] = [tex]\frac{3}{-4}[/tex]
y = -[tex]\frac{3}{4}[/tex]x + 1
Answer:
y= -3/4 + 1
Step-by-step explanation:
y= -3/4 + 1
The first two terms in an arithmetic progression are -2 and 5. The last term in the progression is the only number in the progression that is greater than 200. Find the sum of all the terms in the progression.
Given:
The first two terms in an arithmetic progression are -2 and 5.
The last term in the progression is the only number in the progression that is greater than 200.
To find:
The sum of all the terms in the progression.
Solution:
We have,
First term : [tex]a=-2[/tex]
Common difference : [tex]d = 5 - (-2)[/tex]
[tex]= 5 + 2[/tex]
[tex]= 7[/tex]
nth term of an A.P. is
[tex]a_n=a+(n-1)d[/tex]
where, a is first term and d is common difference.
[tex]a_n=-2+(n-1)(7)[/tex]
According to the equation, [tex]a_n>200[/tex].
[tex]-2+(n-1)(7)>200[/tex]
[tex](n-1)(7)>200+2[/tex]
[tex](n-1)(7)>202[/tex]
Divide both sides by 7.
[tex](n-1)>28.857[/tex]
Add 1 on both sides.
[tex]n>29.857[/tex]
So, least possible integer value is 30. It means, A.P. has 30 term.
Sum of n terms of an A.P. is
[tex]S_n=\dfrac{n}{2}[2a+(n-1)d][/tex]
Substituting n=30, a=-2 and d=7, we get
[tex]S_{30}=\dfrac{30}{2}[2(-2)+(30-1)7][/tex]
[tex]S_{30}=15[-4+(29)7][/tex]
[tex]S_{30}=15[-4+203][/tex]
[tex]S_{30}=15(199)[/tex]
[tex]S_{30}=2985[/tex]
Therefore, the sum of all the terms in the progression is 2985.
Solve: 6/9-(8/72)??????????????
Answer:
0.55555556
Step-by-step explanation: i searched it up!
Answer
7/9
Step-by-step explanation:
What is 7.501 in
Expanded Form and word form
Answer:
seven and five hundred one hundredths.
Step-by-step explanation:
Plzz mark brainiest im in war against person below me plzzz help me. I need to win.
What is the slope of the line containing (-2,5) and (4,-4)?*
Answer:-3/2
Step-by-step explanation: Just did the test.
You had some money and then earned $18.50. Now you have $36.35. How
much did you originally have? _____
Answer:
17.85
Step-by-step explanation:
Answer:
$17.85
Step-by-step explanation:
Just subtract: 36.35-18.50 and then you get $17.85
hope this helped
Help Me! ASAP! Find the value of c using the distributive property. Write your answers in the blanks.
Answer:
so c = 2
Step-by-step explanation:
38-2c=12c+4+3c
38-2c=15c+4
34=17c
2=c
I WILL MARK BRAINLIEST! What is the value of x? I need work shown in order to get credit for this question so please show how you got the answer as well! Thank you so much!
Answer:
x = 7
Step-by-step explanation:
The midsegment of a trapezoid is calculated as
midsegment is lalf the sum of the 2 parallel bases, that is
4x + 3 = [tex]\frac{25+37}{2}[/tex] = [tex]\frac{62}{2}[/tex] = 31 ( subtract 3 from both sides )
4x = 28 ( divide both sides by 4 )
x = 7
Jorge's family arrived home at 8:00 at night after traveling in the car for 5 hours and 15 minutes. What time did Jorge's family leave?
Answer:
2:45 P.M
Step-by-step explanation:
Answer:
3:45
Step-by-step explanation:
8:00-5 hours and 15 min=3:45
Draw a graph that illustrates the given situation: You ride your bike to your friend's house. You leave your house, which is at sea level and first go up a big hill for about a mile, then you ride on a flat surface for 2 miles. Next you hit a slight downhill for a mile, followed by another steep uphill for a half mile. You end your ride on the last half mile going downhill.
Use the x axis as your time and your y axis as vertical height above seal level. Label these on axis.
Answer:
Please find attached the required drawing that illustrates the given situation
Step-by-step explanation:
With a driving speed of 0.003 miles per second, which is approximately 4.83 meters per second, we have the drawing of the graph that represent the given situation which is create with Microsoft Excel and attached alongside here
The total time for the travel is approximately 2,244 second with a total distance of approximately 6.732 miles, using angles, 60° for a steep slope and 30° for a gentle slope
Write the equation in slope- intercept form
4x+2y=12
Thanks!
Question 5 (1 point)
If you were to rotate ABCD 90° counterclockwise about the origin, what would the coordinate of A' be?
The coordinate of A' is (-5, 3)
Option b is true.
Given that;
The coordinate of A is (3, 5)
And, To rotate ABCD 90° counterclockwise about the origin.
We have to find the coordinate of A'.
What is Rule of 90° counterclockwise rotation about the origin?
If we rotate 90° counterclockwise about the origin then the coordinate A (x, y) become A' (-y, x).
The coordinate of A is (3, 5).
By the rule of 90° counterclockwise rotation about the origin;
We get, After rotation 90° counterclockwise rotation about the origin the coordinate A (3, 5) become A' (-5, 3)
Hence, The coordinate of A' is (-5, 3)
Option b is true.
Learn more about the rule of 90 degree rotation visit:
https://brainly.com/question/5245489
#SPJ2
the depth of water at the end of a boat dock can be modeled by a senusoidal function Y=Asin [B(r+C) ]+D where y represents the depth in feet of the water, hours after midnight on a certain day, the depth is 10 feet at low tide at 6 am and 18 feet at high tide at noon find the amplitude and midline for the general sine function that can be used to model the water's depth.
Answer:
A=4 ft
Midline: y=14
Step-by-step explanation:
When talking about sinusoidal waves, we know the amplitude will be the distance between the midline and the highest or lowest point of the graph. This can be found by first, finding the distance between the lowest point and the highest point:
d= 18ft - 10ft = 8ft
and divide this distance into 2:
[tex]A=\frac{8}{2}[/tex]
A= 4 ft
in order to find the midline, we need to figure the midpoint between the highest and lowest value. We can do so by using the following formula:
[tex]Midpoint=\frac{high+low}{2}[/tex]
so:
[tex]Midpoint=\frac{18+10}{2}[/tex]
Midpoint = 14
so the midline is located at the line:
y=14
Can you please help me
Answer:
The scale factor for the dilation of rectangle ABCD to rectangle MNOP is [tex]\frac{3}{4}[/tex] ⇒ B
Step-by-step explanation:
In similar rectangles, their corresponding dimensions are proportional, which means [tex]\frac{L_{1} }{L_{2}}[/tex] = [tex]\frac{W_{1} }{W_{2}}[/tex] , where L is the length and W is the width
∵ Rectangle ABCD is similar to rectangle MNOP
∴ Their dimensions are proportional
∵ The dimensions of rectangle ABCD are 6 m, 14 m
∴ L[tex]_{1}[/tex] = 14 and W[tex]_{1}[/tex] = 6
∵ The dimensions of rectangle MNOP are 4.5 m, 10.5 m
∴ L[tex]_{2}[/tex] = 10.5 and W[tex]_{2}[/tex] = 4.5
∵ The rectangle MNOP is the image of rectangle ABCD after dilation
→ To find the scale factor of dilation find the ratio between the
corresponding dimensions in the two rectangles (image/pre-image)
∵ [tex]\frac{L_{2} }{L_{1}}[/tex] = [tex]\frac{10.5}{14}[/tex] = [tex]\frac{3}{4}[/tex]
∵ [tex]\frac{W_{2} }{W_{1}}[/tex] = [tex]\frac{4.5}{6}[/tex] = [tex]\frac{3}{4}[/tex]
∴ The scale factor for the dilation is [tex]\frac{3}{4}[/tex]
The scale factor for the dilation of rectangle ABCD to rectangle MNOP is [tex]\frac{3}{4}[/tex]
help me plsss 4(x + 3) = 16
Answer:
x = 1
Step-by-step explanation:
Apply the distributed property: 4x + 12 = 16Subtract 12 from each side, so it now looks like this: 4x = 4Divide each side by 4 to cancel out the 4 next to x. It should now look like this: x = 1I hope this helps!
A pool company is creating an image for a client that has the look of a 3-D image for a family pool and a similar dog pool. Find the value of an in the drawing below:
Quadrilaterals MTVR and ZWBF are shown. Side MT measures a side TV measures 6, side VR measures 12, side RM measures b, side Z
Answer:
MTVR
Step-by-step explanation:
Because if you are rotating on a ninety degree angle you will most likely end up on the point
Answer:
21
Step-by-step explanation:
you just have to use the corresponding sides that are already shown and see what is the ratio and apply it to the missing side
Pls mark brainliest tysm
Please help, dont guess please, ill cash app your 4 or 5$
Answer:
121.875
Step-by-step explanation:
Brainliest PLS
Answer:
121.875
Step-by-step explanation:
To find area multiply length times width.
12.5x9.75=121.875.
121.875
which expression use the associative property to make it easier to evaluate 20 (3/5 × 6)
Answer:
C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
A TO THE P TO THE E TO THE X
Which sequence is ARITHMETIC
Answer:
A (0,1,4,9,,,,)
A 0,1,4,9,,,,
Plz help!! 10 points!!
This is a test.
I forgot how to do this
Even tho we just went over it yesterday
Answer:
A.
Step-by-step explanation:
It takes Juan 1.5 hours to walk 5.25 miles to the park. how many miles can he walk per hour?
Answer:
jajaja y la novia
Step-by-step explanation:
James waked 11 miles in 4 hours. If he walked the same distance every hour, how many feet did he walk in one hour?
Answer:
2.75 miles
Step-by-step explanation:
11 ÷ 4 = 2.75
Answer:
11=4x
11/4 = x
He walked 2.75 miles in one hour.
2.75 miles in feet is 14,520
Brock rides his bike 22 miles to the nature preserve. On his way home, after 16 miles, he stops at a deli for lunch. How far is Brock from home? Write and then evaluate an addition expression to solve the problem.
Answer:
Brock is 6 miles from home
Step-by-step explanation:
Please solve, thank you. If you don’t know, don’t answer.
Answer:
y>5/3-3
Step-by-step explanation:
the two points graphed are (0,-3) and (3,-2)
what you're trying to find is the inequality between y and the slope, so first you need to find the slope
the formula for finding the slope is (y2-y1)/(x2-x1)
substitute your two points for your formula:
-2-3=-5
3-0=0
5/3 is your slope
your y intercept is -3 and we know this because it is the location of y when x=0
so your slope is 5/3 and your y intercept is 3, so now you decide howto write the inequality .
the shaded part is above the line and the line is dotted, so how you know to use the > sign
put it all together and you get y>5/3-3
PLSS HELP ILL GIVE YOU A BRAINLIEST AND 30 points!
a sequence has a first number of 3 and a half common difference of 4 what is the recursive rule of nth term
Answer:
[tex]f(n) = f(n-1) + 8[/tex] for [tex]n > 1[/tex]
Step-by-step explanation:
Given
[tex]f(1) = 3[/tex] -- First Term
[tex]\frac{1}{2}d = 4[/tex] --- half common difference
Required
Find the recursive rule
First, we calculate the common difference
[tex]\frac{1}{2}d = 4[/tex]
Multiply through by 2
[tex]2 * \frac{1}{2}d = 2 * 4[/tex]
[tex]d = 8[/tex]
The second term of the sequence is:
[tex]f(2) = 3 + 8 = 11[/tex]
The third term is:
[tex]f(3) = 11 + 8 = 20[/tex]
So, we have:
[tex]f(1) = 3[/tex]
[tex]f(2) = 3 + 8[/tex]
Substitute f(1) for 3
[tex]f(2) = f(1) + 8[/tex]
Express 1 as 2 - 1
[tex]f(2) = f(2-1) + 8[/tex]
Substitute n for 2
[tex]f(n) = f(n-1) + 8[/tex]
Similarly:
[tex]f(3) = 11 + 8[/tex]
Substitute f(2) for 11
[tex]f(3) = f(2) + 8[/tex]
Express 2 as 3 - 1
[tex]f(3) = f(3-1) + 8[/tex]
Substitute n for 3
[tex]f(n) = f(n-1) + 8[/tex]
Hence, the recursive is:
[tex]f(n) = f(n-1) + 8[/tex] for [tex]n > 1[/tex]
Can somebody please help
Answer:
this answer is XZ^787*VYZX^885687
Step-by-step explanation:
its not right but i tried
62.4% of what number is 17.16?
What percent of 51 is 127.5?
(Those are two questions but like on the same thing )
Answer:
first: 27.5
second: 250%
Step-by-step explanation:
first: 17.16 ÷ 62.4% = 0.275, 27.5
second: 51 ÷ 127.5 = 0.4, 40%,
100% ÷ 40%, = 2.5, 250%
which one ? please help! I’ll mark brainliest!
Answer:
w ≥ 66
Step-by-step explanation:
You know that anything less than 66 would not cause any effect, so you need something that is exactly 66 or more than 66 for the airbag to deploy.
Thus, w ≥ 66
≥ means that w is more than or equal to 66. (66 and above)
< means that w is less than 66. (65 and below)
> means that w is more than 66. (67 and above)
≤ means that w is less than or equal to 66. (66 and below)
Answer:
w<66 is the answer i believe