Answer:
g is terms of f is given by: [tex]g(x) = f(x) + 6[/tex]
Step-by-step explanation:
We are given these following function:
[tex]g(x) = x^2 + 6[/tex]
And
[tex]f(x) = x^2[/tex]
Use function notation to write g in terms of f.
We can see that function g(x) is f(x) added by 6. So
[tex]g(x) = f(x) + 6[/tex]
g is terms of f is given by: [tex]g(x) = f(x) + 6[/tex]
find the value for x
Answer:
x = 6°
Step-by-step explanation:
Rule of vertical angles claims that the opposite angles ar the same
19x - 4 would be the opposite to 110
and 19x - 4 would equal 110
Lets form an equation
19x - 4 = 110
Evaluating
19x - 4+4 = 110 + 4
19x = 114
x = 114/19
x = 6
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Vx
Which two figures have the same number of lateral faces?
O sphere and cylinder
O triangular prism and rectangular prism
O rectangular prism and cube
O triangular prism and cylinder
Plz, help. In the picture below.
Answer:
I don't know sorry
Step-by-step explanation:
Does anyone know what the answer?
Answer:
x = 7
Step-by-step explanation:
Hi,
7x - 7 = 4x + 14
3x - 7 = 14
3x = 21
x = 7
I hope this helps :)
jackson spent 8.55 for 3 bags of chips.how many bags of chips can he got for $30
Answer:
10
Step-by-step explanation:
Find l.
10 in.
l
l = [?] ir
1
1
6 in.
Answer:
[tex]l=\sqrt{109}[/tex] in
Step-by-step explanation:
[tex]l^{2} =r^{2} +h^{2} \\\\l^{2} =3^{2} +10^{2} \\\\=90+100\\\\l^{2} =109\\\\l=\sqrt{109}[/tex]
hope it helps....
Peter had 6 crayons. Mike gave Peter some more crayons. Then Peter had
13 crayons in all. How many crayons did Mike give Peter?
What type of problem is this, add to/take from: put together/take apart,
or compare? Type your response here.
Solve the problem in the space below.
Answer:
7
Step-by-step explanation:
13-6=7 compare maybe.....
Ms.Thompsons english class has 24 students. As a reward for their hard, she would like to give each student 4 pieces of candy since she only has 75 pieces of candy, she will need to buy more.. which of the following equations should she use to find p, the number of pieces she needs to buy (no websites)
The length of a rectangle is 13 centimeters less than four times its width. Its area is 35 square
centimeters. Find the dimensions of the rectangle.
The width is
and the length is
Answer:
width 5
length 7
Step-by-step explanation:
W * L = 35
L = 4 * W - 13
W * (4W-13) = 35
4 W^2 - 13 W - 35 = 0
delta = 169 + 4*4*35 = 729 = 27^2
W = (13 + 27) / 8 = 5 (its the only solution since 13 - 27 is less than 0 which makes no sense)
L = 4 * 5 - 13 = 7
The length and width of the rectangle are 7 cm and 5 cm respectively.
What is a rectangle?A rectangle is a closed 2-D shape, having 4 sides, 4 corners, and 4 right angles (90°). The opposite sides of a rectangle are equal and parallel.
Given that, the length of a rectangle is 13 cm less than four times its width. Its area is 35 cm².
We know that, the area of a rectangle = length × width
Let the width of the given rectangle be w,
According to question,
length = 4w - 13
Therefore,
(4w - 13) × w = 35
4w² - 13w = 35
4w² - 13w - 35 = 0
Factorizing, we get,
w = 5 and w = -7/4
Therefore, width = 5
Length = 20 - 13
Length = 7
Hence, the length and width of the rectangle are 7 cm and 5 cm respectively.
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jasonran 4 miles in 30 minutes which of the following is an equivalent rate of running
Answer:
10 miles in 75 minutes
Step-by-step explanation:
Which point graphed below has an x-coordinate that is less than 0 and a y-coordinate that is greater than 0?
O Point L
O Point M
O Point N
O Point o
5.81 is 10 times as much as
its 0.581 its pretty self explanatory so im not gonna explain
Find the percent of change from 32 feet to 79 feet. Round to the nearest tenth, if necessary. Then state whether the percent of change is percent of increase or percent of decrease.
Answer:
71 1/4%
Step-by-step explanation:
I think the change is percentage increase. the method of finding percentage iincrease is increase over percentage increase x 100%
What is the solution to this system of equations? Show your work. 46 points
Answer:
The solutions to systems of equations are the variable mappings such that all component equations are satisfied—in other words, the locations at which all of these equations intersect. To solve a system is to find all such common solutions or points of intersection.
Step-by-step explanation:
Isolate x for 12=1/3x: x=36
[y - 36=9]
the solutions to the system of equation is:
y=45 x=36
Use the diagram to complete the statements.
The measure of minor arc EF i
The measure of angle DAB is
35.5
.5
71
109
Answer:
EF is 109
DAB is 54.5
Step-by-step explanation:
Applying the central angle theorem, the correct statement would be:
Measure of minor arc EF = 109°Measure of angle DAB = 54.5°What is the Central Angle Theorems?The central angle theorem states that:
Measure of intercepted arc = 1/2(measure of inscribed angle)Measure of central angle = measure of intercepted arcThus:
Measure of minor arc EF = m∠ECF = 109°
m∠DAB = 1/2(109°) [m∠ECF = m∠BAD = 109°]
m∠DAB = 54.5°
Therefore, applying the central angle theorem, the correct statement would be:
Measure of minor arc EF = 109°Measure of angle DAB = 54.5°Learn more about central angle theorem on:
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What is the mean and MAD of this data set
Answer:
Option B will be your answer
Step-by-step explanation:
mean:6 gerbils
MAD:2.29
so its B
hope it helps
have a great day!!
An apartment complex developer is considering building apartments in College Town, but first wants to do a market study. A sample was selected of monthly rent values ($) for 80 studio apartments in College Town with sample mean of 498.76. (Based on past experience, the developer assumes a known value of s = $65 for the population standard deviation.)
a. Develop a 98% confidence interval for the mean monthly rent for all studio apartments in this city.
b. Suppose the apartment developer wants a 98% confidence interval estimate of the population mean with a margin of error of E = $15. What sample size is needed?
Answer:
a. The 98% confidence interval for the mean monthly rent for all studio apartments in this city is between $481.85 and $515.67
b. A sample size of 102 is needed.
Step-by-step explanation:
Question a:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.98}{2} = 0.01[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.01 = 0.99[/tex], so Z = 2.327.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 2.327\frac{65}{\sqrt{80}} = 16.91[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 498.76 - 16.91 = $481.85
The upper end of the interval is the sample mean added to M. So it is 498.76 + 16.91 = $515.67
The 98% confidence interval for the mean monthly rent for all studio apartments in this city is between $481.85 and $515.67
Question b:
This is n for which M = 15. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]15 = 2.327\frac{65}{\sqrt{n}}[/tex]
[tex]15\sqrt{n} = 2.327*65[/tex]
[tex]\sqrt{n} = \frac{2.327*65}{15}[/tex]
[tex](\sqrt{n})^2 = (\frac{2.327*65}{15})^2[/tex]
[tex]n = 101.68[/tex]
Rounding up:
A sample size of 102 is needed.
Find the value of x.
log 3 X= 4
OA. 7
OB.
12
Oc.
27
OD
81
Answer:
OB
Step-by-step explanation:
when we multiple 4 by 3 because they are like terms they give us 12
Select two days on which mike ran a total of 6 5/6 miles.
Saturday and sunday.............
0000 PLEASE ASAP HELPPPPP
5th grade math. correct answer will be marked brainliest
Answer: C and for the bottom is 3*3/8=9/8=1 1/8
Step-by-step explanation: hoped this helped :)
URGENT HELP Graph f(x) = 3|x - 5| + 1 (please put picture of the answer graphed)
Answer:
Step-by-step explanation:
I uploaded a picture of the graph, but you can go to the site, Desmos. Just plug in your equation, and you will get the equation graphed.
Mr. Sonny's science class is calculating the average number of blinks per minute. Jan blinks 72 times in 4 minutes. What is her
blinking rate, in blinks per minute?
Answer:
18
Step-by-step explanation:
When the length of each edge of a cube is increased by 1 cm, the volume is increased by 37 cm3.
What is the length (in centimeters) of each edge of the original cube?
original length =3cm
Answer:
solution given;
let length be x
its
volume be x ³
we have when length is increased by 1cm volume increased by 37cm³ so
(x+1)³=x³+37cm³
x³+1³+3x²+3x=x³+37
3x²+3x-36=0
3(x²+x-12)=0
x²+4x-3x-12=0
x(x+4)-3(x+4)=0
(x+4)(x-3)=0
either
x=-4 rejected
or
x=3cm
The length (in centimeters) of each edge of the original cube will be 3.
How do you calculate the volume of a cube?Assume the side length of the cube under consideration is L units. The volume of the cube is then equal to L³ cubic units.
We have when length is increased by 1 cm volume increased by 37 cm³, so from the given condition the equation formed as;
(L+1)³=L³+37 cm³
Open the bracket and apply the necessary identities;
L³+1³+3L²+3L=L³+37
3L²+3L-36=0
3(x²+x-12)=0
Applying the factorization method;
L²+4L-3L-12=0
L(L+4)-3(L+4)=0
(L+4)(L-3)=0
L=-4 cm (Negative length is not possible.)
L=3cm
Hence,the length (in centimeters) of each edge of the original cube will be 3.
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if i have 2 pans of brownies and i give away 1 5/6. How many browniea do i have left? in a fraction?
Answer: Multiply
2 * 1 5/6
Convert 1 5/6 into an improper fraction:
2 * 11/5
Multiply:
22/5
Convert to mixed number:
4 2/5
So 22/5 or 4 2/5 of a pan of brownies was left.
Answer:
1/5
Step-by-step explanation:
find the slope based on the date below
x: -4, 0, 4 8
y: 3, 8 13 18
HELPPP QUICKK PLZZ
Answer:
The slope is [tex]\frac{5}{4}[/tex]
Step-by-step explanation:
Slope of a dataset:
The slope of a dataset, having two points, is given by the change in y values divided by the change in x values
In this question:
Two points:
x = 0, y = 8
X = 4, y = 13
The slope is:
[tex]m = \frac{13 - 8}{4 - 0} = \frac{5}{4}[/tex]
The slope is [tex]\frac{5}{4}[/tex]
What is the solution to this equation?
8x - 5(x - 3) = 18
A. x = 7
B. x = 5
C. x = 11
D. x = 1
SUBMIT
Answer:
D
Step-by-step explanation:
Find the two numbers . State the smallest number?
Answer:
7
Step-by-step explanation:
x+y=30
x-y=16
2x=14
therefore x=7 and y=23.
the smallest number is 7.
btw jungwoo = best boy
Step-by-step explanation:
Let x be the smallest number
According to the question,
(Let the two numbers be x and y)
x+y=30
= x=30-y
Now,
y-x=16
= y=16+30-y
= 2y=46
= y =23
Also,
x=30-23
= 7
The value of the smallest number is 7
The other number is 23
ZABC and ZQRS are supplementary angles,
If the measure of ZABC = 100°, what is the
measure of ZQRS?
mZQRS = [?]°
Answer:
Solution given:
<ABC+<QRS=180°[supplementary]
<QRS=180°-100°
<QRS=80° is your answer
The sum of the lengths of two opposite sides of the circumscribed quadrilateral is 12 cm, the length of a radius of the circle is 5 cm. Find the area of the quadrilateral
Answer:
60cm^2
Step-by-step explanation:
We assume that is a circumscribing quadrilateral, rather than one that is circumscribed. It is also called a "tangential quadrilateral" and its area is ...
K = sr
where s is the semi-perimeter, the sum of opposite sides, and r is the radius of the incircle.
K = (12 cm) (5cm) = 60 cm²
_____
A quadrilateral can only be tangential if pairs of opposite sides add to the same length. Hence the given sum is the semiperimeter.