Answer: f(x)=44
Step-by-step explanation:
Since x is given, we can directly plug it into our function.
[tex]f(8)=6(8)-4[/tex]
[tex]f(8)=48-4[/tex]
[tex]f(8)=44[/tex]
The sum of two numbers is 27. One of the numbers is three more than the other. Find the numbers. A) 20 and 7 B) 12 and 15 C) 13 and 14 D) -12 and -15
Answer:
A
Step-by-step explanation:
Which of these is another way to write the function f(x) = 5*
Answer:
May you kindly provide us with a selection of choices? Thank you ! :)
Step-by-step explanation:
Which statement is true about AC?
Answer:
A.
The electrons move back and forth.
Step-by-step explanation:
i took the test
Will records the wins and losses for his high school basketball team each year. He notices that the ratio of wins to losses has
been consistent each year,
VX
Wins
Losses
18
2
45
5
36
4
27
X
Using the information in the table, how many losses should he predict for next year if the number of games won is 272
1
ОО
3
6
9
Save and Exit
Next
Submit
Mark this and return
Answer:
3
Step-by-step explanation:
you have to multiply by 9.
2times9=18,5times 9=45,4times 9=36,
3times9=27.
A cylinder has a base diameter of 20 centimeters and a height of 14 centimeters.
What is its volume in cubic centimeters, to the nearest tenths place?
Answer: 4,588.4 cubic centimeters.
Step-by-step explanation: 20 centimeters ⋅ 14 centimeters = 280 centimeters = 4588.38 cubic centimeters = 4,588.4 cubic centimeters.
What is a net and how can you use it to help you find the surface area of a 3-Dimensional figure?
84 points for brainliest!
Answer:Surface Area of a Solid
The surface area of a 3-dimensional object is the measure of the total area of all its faces. This means that one way to find the surface area of a solid is to find the area of its net. The surface area of a rectangular prism is the area of the six rectangles that cover it.
Step-by-step explanation:
If sin theta = -(sqrt(3))/2 and pi < =theta <= (3pi)/2, determine the value of cos(20)
Answer:
Sin theta = -1/2
Step-by-step explanation:
pi < =theta <= (3pi)/2.
The above expression shows we are dealing with angle on the 3rd quadrant.
I.e greater than 180 but less than 270.
So sin tita = (√3)/2
But sin and cos are all negative in the third quadrant.
So tita = sin^-1(√3)/2
tita = 60°
Cos tita = cos 60
Cos tita = cos 60
Cos60 = 0.5
Cos 60 = 1/2
If
sin theta = -(sqrt(3))/2
Sin theta = -1/2
Bicycles are often classified by wheel diameter. A common diameter is 26 inches. What is the circumference of this bicycle tire? Round to the nearest tenth.
Answer:
81.7 inches
Circumference = πd. where d is the diameter
22/7 * 26 = 81.7 inches
A study by Consumer Reports showed that 64% of supermarket shoppers believe supermarket brands to be as good as national name brands. To investigate whether this result applies to its own product, the manufacturer of a national name-brand ketchup asked a sample of shoppers whether they believed that supermarket ketchup was as good as the national brand ketchup.a. Formulate the hypotheses that could be used to determine whether the percentage of supermarket shoppers who believe that the supermarket ketchup was as good as the national brand ketchup differed from 64%.b. If a sample of 100 shoppers showed 52 stating that the supermarket brand was as good as the national brand, what is the p-value?c. At α= .05, what is your conclusion?d. Should the national brand ketchup manufacturer be pleased with this conclusion?Explain.
Answer:
Step-by-step explanation:
Given that:
A study is conducted and the study by Consumer Reports showed that 64% of supermarket shoppers believe supermarket brands to be as good as national name brands.
a)
Thus; we formulate the null and the alternative hypotheses as follows:
The proportion is ; [tex]\frac{64}{100}[/tex] = 0.64
Null hypothesis: [tex]{H_0}:p = 0.64[/tex]
The Null hypothesis states that there is no evidence that “the percentage of supermarket shoppers believes that the supermarket ketchup is good as the national brand ketchup differ form 64%”.
Alternative hypothesis: [tex]{H_a}:p \ne 0.64H[/tex]
The Alternative hypothesis states that there is evidence that “the percentage of supermarket shoppers believes that the supermarket ketchup is good as the national brand ketchup differ form 64%”.
b)
The proportion of the population = 0.64
The sample size n = 100
The number of shoppers = 52 stating that the supermarket brand was as good as the national brand
The sample proportion [tex]\hat p = \frac{52}{100}[/tex]
[tex]\hat p = 0.52[/tex]
The z - value is calculated by the formula:
[tex]z = \dfrac{\hat p-p}{\frac{\sqrt{ p(1-p)}}{100 }}[/tex]
[tex]z = \dfrac{0.52-0.64}{\frac{\sqrt{ 0.64(1-0.64)}}{100 }}[/tex]
[tex]z = \dfrac{-0.12}{0.048 }}[/tex]
z = -2.50
Since z = -2.50
the p-value = 2P(Z ≤ -2.50)
p-value = 2 × 0.0062
The p-value = 0.0124
c)
At significance level, ∝ = 0.05 ; The p-value = 0.0124
According to the rejection rule, if p-value is less than 0.05 then we will reject null hypothesis at ∝ = 0.05
Hence, the p-value =0.0124 < ∝ (=0.05)
According to the reject rule; reject null hypothesis.
Conclusion: There is no evidence at all that the percentage of supermarket shoppers believes that the supermarket ketchup is good as the national brand ketchup differ form 64%.
d) we know that the significance level of ∝ = 0.05
The value[tex]{z__{0.05}}[/tex] is obtained as:
[tex]P\left( {\left| Z \right| \le z} \right) = 0.05[/tex]
Now; to determine Z ; we locate the probability value of 0.05 form the table of standard normal distribution. Then we proceed to the left until the first column is reached and the value is 1.90. Also , we move upward until we reach the top and the value is 0.06. Now; the intersection of the row and column results the area to the left of z
This implies that :[tex]P(Z \leq -1.96)=0.05[/tex]
The critical value for left tail is -1.96 and the critical value for right tail is 1.96.
Conclusion:
The critical value is -1.96 and the value of test statistic is - 2.50. Here, we can see that the value of test statistic is lesser than the critical value. Hence, we can be concluded that there is evidence that reject the null hypothesis.
Therefore, Yes, the national brand ketchup manufacturer is pleased with the conclusion.
Following are the solution to the given points:
For point a:
Calculation of the hypotheses:
Null hypothesis [tex]\ H_0:p=0.64 \\\\[/tex]
Alternative hypothesis [tex]\ H_a : p \neq 0.64[/tex]
For point b:
Checking the value:
[tex]\to np_0=100 \cdot 0.64=64>5\\\\\to n(1-p_0)=100\cdot(1-0.64)=100 \cdot 0.36= 36 > 5[/tex]
Test statistic:
[tex]\to Z= \frac{0.52-0.64}{\sqrt{\frac{0.64 \times 0.36}{100} }}=-2.50[/tex]
Since there are two-sided for the test. so, [tex]z=-2.50[/tex] is negative.
Calculation of the P-value: [tex]\to p=2P(z \leq -2.50)=2 \cdot 0.00621=0.01242<\alpha =0.05[/tex]
For point C:
In this choice, the Null hypothesis value should be rejected.
For point D:
Evidence indicating the percent of supermarket customers who believe supermarket Ketchup is just as good as brand name Ketchup differs from 64%. As a result, the national brand Ketchup maker must be dissatisfied with this conclusion so because results could be applied to its product.Learn more:
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About how many inches wide is the toolbox?
[tex]7.2 in. \: gum \: wrappers[/tex]
[tex]12.49in. \: shoelaces [/tex]
[tex]4.579in. \: paperclips[/tex]
Answer FAST PLS!!!!!
Answer: 24
Step-by-step explanation:
7+12+5=24
Answer:
24
Step-by-step explanation:
Sammy the school custodian is having a debate with Marci the museum curator. Sammy contends that the school is larger than the museum in terms of area. Marci contends the opposite.
To settle their debate, they find satellite images of both buildings and juxtapose them on a single coordinate grid (shown below).
The area of the school is
\text{m}^2m
2
start text, m, end text, squared.
Round the final answer to the nearest square meter. Do not round intermediate calculations.
The area of the museum is
\text{m}^2m
2
start text, m, end text, squared.
Round the final answer to the nearest square meter. Do not round intermediate calculations.
Who should win the debate?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Sammy
(Choice B)
B
Marci
Answer:
2000 m²2827 m²B. MarciStep-by-step explanation:
It is convenient to compute the areas in terms of grid squares. Then those results can be converted to square meters by multiplying by the area of a grid square: (10 m)² = 100 m².
(a) The area of the school is the product of its side dimensions. The short side is (in terms of grid squares) ...
W = √(1²+3²) = √10
The long side is ...
L = √(2²+6²) = √40
Then the area is ...
A = LW = (√40)(√10) = √400 = 20
The area of the school is 20 grid squares = 2000 m² . . . . . where s = 10 m
__
(b) The area of the museum is given by the formula ...
A = πr² = π(3)² = 9π grid squares = 2827 m²
The area of the museum is 2827 m².
__
(c) Marci says the museum has a larger area than the school. She is correct.
Marci should win the debate.
A figure is translated <3, -3>. Which translation will move the image back to the
preimage original position?
The original translation < 3, -3 > moves the figure 3 units to the right and 3 units down.
We undo this by moving 3 units left and 3 units up, which is what < -3, 3 > describes.
The translation <-3, 3> will move the image back to the preimage original position.
What is translation of image ?
The displacement of a image from one place to another is called translation of image.
What is the original position of the image ?
If a figure is on the origin, i.e. (0, 0), then if turns 3 cells right.
We can see that, It translated as (3,0)
Again if it go down 3 cells, then the translated one is (3, -3)
So, moving it back, we should translate it 3 cells left & 3 cells up.
So after translation, it should be (-3, 3).
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Which is equivalent to cos^-1(.17) round your answer to the nearest hundredth of a radian
Answer:
cos^-1(.17) is 1.40 in radian
Step-by-step explanation:
Given cos^-1(.17), the equivalent is 80.212
This is approximately 80.21°
Which is 1.40 in radian
Which algebraic expression is a polynomial with a degree of 2?
4x3 - 2x
10x2 - VX
8x3+3+3
6x2 - 6x + 5
Answer:
B and D
Step-by-step explanation:
10x^2 -vx [ has the highest power of X as 2 , so it is to degree 2].
6x^2 - 6x + 5[ has the highest power of x as 2; hence it is to degree 2]
please its urgent!!!
Step-by-step explanation:
[tex]-1 + (-9w^2)-7w+7w^2[/tex]
Combine like terms.
[tex]-9w^2 + 7w^2-7w-1[/tex]
[tex]-2w^2-7w-1[/tex]
write in the simplest form 15:45
Answer:
1:3
Step-by-step explanation:
:))
1:3
15 / 15 = 1
45 / 15 = 3
So its 1:3
Express 72 as a product of its prime factors
Answer:
okay
Step-by-step explanation:
2^3 times 3^2
Answer:
2^3*9
Step-by-step explanation:
72-9
8-2
4-2
2-2
1
Uma sala tem o formato de um trapézio, determine a área dessa sala.
1 ponto
Imagem sem legenda
(a) 10,4 m²
(b) 25,6 m²
(c) 12,8 m²
(d) 15,2 m²
Answer:
[tex]\large \boxed{\text{12.8 m}^{2}}[/tex]
Step-by-st ep explanation:
Assume the room is like the image below.
The formula for the area of a trapezoid is
A = ½(a + b)h,
where a and b are the lengths of the parallel sides and h is the distance between them.
Data:
a = 3.8 m
b = 2.6 m
h = 4 m
Calculation:
[tex]\begin{array}{rcl}A & = & \dfrac{1}{2}(a + b)h\\\\& = & \dfrac{1}{2}(3.8 + 2.6)\times 4\\\\& = & \dfrac{1}{2}(6.4) \times 4\\\\A & = & \dfrac{1}{2}\times25.6\\\\& = & \textbf{12.8 m}^{\mathbf{2}}\\\end{array}\\\text{The area of the room is $\large \boxed{\textbf{12.8 m}^{\mathbf{2}}}$}[/tex]
PLEASE HELP!!!
Given the function f(x)=(x+1)(x-3)
a) What are the x-intercepts?
b)What is the axis of symmetry?
c)What is the vertex?
Answer:
a) (-1,0) and (3,0)
b) x=1
c) (1, -4)
Step-by-step explanation:
As you can see in the graph below, the x intercepts of this graph are at (-1,0) and (3,0), the axis of symmetry is x=1, and the vertex is at (1,-4). Hope this helps!
A triangle has a base 5 cm and a height of 8 cm what is the area of the triangle
Answer:
20 cm
Step-by-step explanation:
Area of a triangle is base x height/2, so in this case its 5x8/2 which is 40/2 therefor making the answer 20
Question
A gymnast, who can stretch her arms up to reach 6 feet, jumps straight up on a trampoline. The height of
her feet above the trampoline can be modeled by the equation h =-16x2 + 12x, where x is the time in
seconds after her jump.
Do the gymnast's hands reach a height of 11 feet above the trampoline? Use the discriminant to explain.
(Hint: Since h = height of feet, you must use the difference between the heights of the hands and feet.)
The value of the discriminant is
The discriminant is a (select) number. So, there
(select) real solutions for this height. The gymnast hands (select) reach a height of 11 feet.
Answer:
The discriminant of the equation is less than zero. The gymnast's hands do not reach a height of 11 feet
Step-by-step explanation:
The gymnast's hands does not reach a height of 11 feet above the trampoline.
What is Quadratic Equation?A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is a[tex]x^{2}[/tex] + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.
It is given that ,
h= [tex]-16x^{2} +12x[/tex]
11-6= [tex]-16x^{2} +12x[/tex]
5 = [tex]-16x^{2} +12x[/tex]
[tex]-16x^{2} +12x[/tex] -5=0
Comparing the above equation with the standard form of quadratic equation [tex]ax^{2} +bx+c=0\\[/tex]
we get ; a=-16, b=12, c=-5
Using Discriminant method
D= [tex]\sqrt[]{b^{2} - 4*a*c}[/tex]
= [tex]\sqrt[]{(12)^{2} - 4* (-16)*(-5)}[/tex]
= [tex]\sqrt[]{144-320}[/tex]
= [tex]\sqrt[]{-176}[/tex]
Hence D<0, which means there is no real value.
So, the gymnast's hands does not reach a height of 11 feet above the trampoline.
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For each pair of functions and below, find and .
Then, determine whether and are inverses of each other.
Simplify your answers as much as possible.
(Assume that your expressions are defined for all in the domain of the composition.
You do not have to indicate the domain.)
f(x)=3/x,x=/= 0
g(x)=3/x, x=/=0
f(g(x))=
g(f(x))=
f and g are inverses of each other
f and g are not inverses of each other
f(x)=x+4
g(x)=-x+4
f(g(x))=
g(f(x))=
f and g are inverses of each other
f and g are not inverses of each other
Answer:
1- Inverses .
2 - Not inverses.
Step-by-step explanation:
Notice that
1 -
[tex]f(g(x))= 3/(3/x) = (3x)/3 = x[/tex]
Since their composition is the identity, then they are inverses.
2 -
[tex]f(g(x)) = ((-x+4)+4) = -x+8[/tex]
Since their composition is not the identity, then they are not inverses.
Find g(x) if it is known that g(2t)=8t−1.
Answer:
g(x) = 4x - 1
Step-by-step explanation:
Linear function in the format: g(x) = ax + b
g(2t) is a*(2t)+b
g(2t) = 8t - 1 means that:
when x = 2t, g = 8t - 1.
So
Equaling both sides
8t - 1 = a*2t + b
So
b = -1,
and
2a = 8, a = 8/2, a = 4
So
g(x) = 4x - 1
Consider the equation
3 (4x – 2) + 6 = 5 (2x – 8) + 2
>
(Solve for x first!!)
Below are two truths and one lie:
>
1. x is a negative number
2. 3x>2x
3. x+5>x
Answer:
-19
Step-by-step explanation:
12x - 6 + 6 = 10x - 40 + 2
12x - 10x = -40 + 2 + 6 -6
2x = -38
x = -38/2 = -19
The two truths are:
x is a negative number (x = -19)
x+5>x (if x is positive, is true; if x is negative, is also true)
The one lie is:
3x > 2x (if x is negative, the expression will be 3x < 2x)
Simplify ⁴√5x times ⁴√2x
Answer:
[tex]\sqrt[4]{10x2}[/tex]
Answer:
⁴√10√x
Step-by-step explanation:
⁴√5x*⁴√2x
⁴√5x = ⁴√5⁴√x
=⁴√5 ⁴√x⁴√2x
⁴√2x = ⁴√2⁴√x
=⁴√5⁴√2⁴√x⁴√x
⁴√x⁴√x = x1/4x1/4 = x1/4+1/4
=⁴√5⁴√2⁴x1/4+1/4
1/4+1/4 = 1/2
=⁴√5⁴√2⁴√x
⁴√5⁴√2⁴ = ⁴√5*2
=⁴√5*2√x
5*2 = 10
= ⁴√10√x
Express the sum in the simplest form. x/x+5 + 5/x+5
Answer:
11x+5/x
Step-by-step explanation:
A newspaper article is summarized: According to a new study, teachers may be more inclined to give higher grades to students, hoping to gain favor with the university administrators who grant tenure. The study examined the average grade and teaching evaluation in a large number of courses given in 1997 in order to investigate the effects of grade inflation on evaluations. " I am concerned with student evaluations because instruction has become a popularity contest for some teachers, " said Professor Smith, who recently completed the study. Results showed higher grades directly corresponded to a more positive evaluation. The last statement above means the study found that:_________.
a) Higher course grades are positively associated with teaching evaluation
b) Teaching evaluation is negatively associated with course grade
c) There was a perfect positive correlation between course grade and teaching evaluation
d) Each letter grade increase is associated with a 10% increase in positive evaluations for the professor.
Lynn is making custom bricks. She combines 39 pounds of water and 48 pounds of brick dust
in a mixing bucket. She spills 13 pounds of the mixture while stirring the contents. The
mixture is then poured into small dirt holes to make bricks. Each brick requires 7 pounds of
mixture, and the leftover mixture is washed out of the mixing bucket
What is the greatest number of bricks Lynn can make?
bricks
How many pounds of mixture will be washed out of the bucket if Lynn makes the greatest
number of bricks?
pounds
Greatest number of bricks Lynn can make is 10 and 4 pounds of the mixture will be washed out of the bucket
Pounds of water = 39
Pounds of brick dust = 48
Total mixture = 87 pounds
Mixture spilled = 13 pounds
Mixture remaining = 87 pounds - 13 pounds
= 74 pounds
Mixture in each brick holes = 7 pounds of mixture
Greatest number of bricks Lynn can make = Mixture remaining ÷ Mixture in each brick holes
= 74 pounds ÷ 7 pounds
= 10 remaining 4 pounds
Therefore,
Greatest number of bricks Lynn can make is 10 and 4 pounds of the mixture will be washed out of the bucket
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Answer: Greatest number lynn can make is 10 Bricks.
4 pounds will be washed out the bucket.
Step-by-step explanation:
What fraction is equal to 35%
Answer:
7/20
Step-by-step explanation:
35/100 is simplified to 7/20. Here is another example with a different percentage. Change 25% to a fraction. 25/100 is simplified to 1/4
Simplify 8X +7 - 2X -4
Answer:
6x + 3
Step-by-step explanation:
8x - 2x + 7 -4
Look at the attached picture
Hope it will be helpful to you..
Have a great day..
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