Answer: F = - 2/7
Step-by-step explanation:
[tex]f(x) = x + 9\\f(-7) = -7 + 9\\f(-7) = 2\\f = -\frac{2}{7}[/tex]
Find the sum of the interior angles for the polygon that has twice the number of sides as an octagon.
Answer:
The sum of the interior and exterior angles = 8640+360 = 9000 deg. So, the regular polygon has 9000/180 = 50 sides. Its name is pentacontagon
Step-by-step explanation:
What is the quotient and remainder, written as partial fractions, of StartFraction 15 x squared + 52 x + 43 Over 3 x squared + 5 x minus 8 EndFraction?
Answer:
B
Step-by-step explanation:
On edge
Question 17
Consider the equation y = 15 - 4x.
Which of the following is a graph of this equation?
The graph of the given linear equation is the one that you can see below.
How to get the graph of the linear equation?
To graph lines, we need to get two points on the line. To get the points, we can evaluate the line in two different values of x. Here I will use x = 1 and x = 0.
For x = 0 we have:
y = 15 - 4*0 = 15
So we have the point (0, 15).
For x = 1 we have the point:
y = 15 - 4*1 = 11
So we have the point (1, 11).
Now we need to graph these two points and connect them with a line, you will get the graph that you can see below.
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Previously, an organization reported that teenagers spent 4.5 hours per week, on average, on the phone. The organization thinks that, currently, the mean is higher. Fifteen randomly chosen teenagers were asked how many hours per week they spend on the phone. The sample mean was 4.75 hours with a sample standard deviation of 2.0. Conduct a hypothesis test.
The standard normal distribution is a special type of normal distribution where the mean is 0, and the standard deviation is 1. The hypothesis can not be concluded.
What is Standard normal distribution?The standard normal distribution is a special type of normal distribution where the mean is 0, and the standard deviation is 1.
For the given problems, the Hypothesis mean is 4.5. The sample mean was 4.75 hours with a normal standard deviation of 2.0.
Now, calculating the z-score,
[tex]z = \dfrac{\bar x - \mu_o}{\dfrac{\sigma}{\sqrt n}}\\\\\\z = \dfrac{4.75-4.5}{\dfrac{2}{\sqrt{15}}}\\\\\\z = 0.48[/tex]
Now, as per the standard normal table, the p-value is 0.6844. Since the p-value is greater than the significance level, the hypothesis can not be concluded.
Hence, The hypothesis can not be concluded.
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alen is buying a new car. He has the options below.
Model: compact, luxury, sport
Transmission: automatic, manual
Color: red, blue, black, yellow
Jalen decides that he wants a yellow car. What is the total number of choices he has?
5
6
12
24
Answer:
Step-by-step explanation:
To calculate combinations, we will use the formula nCr = n! / r! * (n - r)!, where n represents the total number of items, and r represents the number of items being chosen at a time. To calculate a combination, you will need to calculate a factorial.
Saul correctly solved a math problem by first dividing 18 by 6, then adding 5 to the result.
Which equation could be solved to get the same answer?
6x−5= 18
6(x−5)=18
6x+5=18
6(x+5)=18
Answers.
[tex] \frac{23}{6} [/tex]x=8[tex] \frac{13}{6} [/tex]x=-2
sin A tan A/ 1 - cos A = 1+ sec A
[tex]\text{L.H.S}\\\\=\dfrac{\sin A \tan A}{1- \cos A}\\\\\\=\dfrac{\sin A \cdot \tfrac{\sin A}{\cos A} }{ 1- \cos A}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~;\left[\tan A = \dfrac{\sin A }{\cos A}\right]\\\\\\=\dfrac{\tfrac{\sin^2 A}{ \cos A}}{1- \cos A}\\\\\\=\dfrac{\sin^2 A}{\cos A(1-\cos A)}\\\\\\=\dfrac{1-\cos^2 A}{\cos A( 1- \cos A)}~~~~~~~~~~~~~~~~~~~~~~~~;[\sin^2 A + \cos^2 A = 1]\\\\\\[/tex]
[tex]=\dfrac{(1+ \cos A)(1 - \cos A)}{\cos A(1 - \cos A)}\\\\\\=\dfrac{1+ \cos A}{ \cos A}\\\\\\=\dfrac{1}{\cos A} + \dfrac{\cos A}{ \cos A}\\\\\\=\sec A + 1 \\\\\\=1+ \sec A\\\\\\=\text{R.H.S}\\\\\text{Proved.}[/tex]
hey do any of yall now what 65'6 x777
Answer:
If you mean 656, then the answer is 509,712.
Edit: If you're talking about measurements, then it would be 50,893 feet and 6 inches.
A bag contains 2 red, 5 blue, and 3 green marbles. A marble is chosen at random. What is the probability of NOT choosing a red marble
Step-by-step explanation:
Number of red = 2Number of blue = 5Number of green = 3total number of marbles = 10probability of not choosing a red marble = 1--choosing a red marble.Because probability is always one(1).
Probability =
[tex]1 - \frac{2}{10} [/tex]
[tex] \frac{8}{10} [/tex]
[tex] \frac{4}{5} [/tex]
Is the probability of not choosing a red marble.
Which number produces an irrational number when added to 1/3 ?
A. -1/7
B. 2.4494897
C. 0.464646
D. Square root 9
Y=-2x²-4 solve for y when x=3
Answer:
Y=-58
Step-by-step explanation:
Y=-2(3)^(2)-4
Y=-2(3*3*3)-4
Y=-2(27)-4
Y=-54-4
Y=-58
Write an equation that represents a relationship between the independent and dependent quantities from the table. Identify the relationship as additive or multiplicative and explain your reasoning.
x y
-4 8
2 -4
6 -12
9 -18
If a dress costs $27.00 when it’s on sale for 10% off, what is its original cost?
what is the vertex of y= -x^2+10x
[tex]y = -x^2+10x\implies y = -x^2+10x+0 \\\\[-0.35em] ~\dotfill\\\\ \textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{-1}x^2\stackrel{\stackrel{b}{\downarrow }}{+10}x\stackrel{\stackrel{c}{\downarrow }}{+0} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{ 10}{2(-1)}~~~~ ,~~~~ 0-\cfrac{ (10)^2}{4(-1)}\right)\implies \left( \cfrac{10}{2}~~,~~\cfrac{100}{4} \right)\implies (5~~,~~25)[/tex]
Solve the exponential equation: 7^3 – 2x = 7–x Question 13 options: A) 3 B) 2 C) 7 D) –2
The solution to the exponential equation 7^(3 – 2x) = 7^(-x) is 3
How to solve exponential equation?7^(3 – 2x) = 7^(-x)
Both equation has the same baseEliminate the base to remain the powers3 - 2x = - x
collect like terms
3 = - x + 2x
3 = x
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WHAT IS THE ANSWER OF y12+b16-8=
Answer:
[tex]y^{12} + b^{8} \\OR\\12y + 8b[/tex]
Step-by-step explanation:
If the statement is
[tex]y^{12} + b^{16-8} \\y^{12} + b^{8} \\[/tex]this can't be more simplified
If the statement is
[tex]y{12} + b{16-8} \\y{12} + b{8} \\\\rearrange\\12y + 8b[/tex]
The width of a rectangle is 32 inches shorter than twice its length. The area of the rectangle is 72 square inches. What is the length of the rectangle?
Answer:
18 inches
Step-by-step explanation:
Equation is (2x-32)(x)=72, where x represents length and (2x-32) represents the width. When you simplify the equation, it ends up as 2x^2-32x-72=0. After factoring, you get 2(x-18)(x+2). Since x cannot be negative, it would therefore be 18. If you plug it back into the equation, you can see that it is right :)
Which measure of central tendency is the most affected by outliers
Median
Mean
Midrange
Mode
(Is it the mean or midrange?)
Mean measure of central tendency is the most affected by outliers. Then the correct option is B.
What is Mean?The mean is the straightforward meaning of the normal of a lot of numbers. In measurements, one of the markers of focal propensity is the mean. The normal is alluded to as the number-crunching mean. It's the proportion of the number of genuine perceptions to the absolute number of perceptions.
Mean measure of central tendency is the most affected by outliers.
Then the correct option is B.
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e) 35-12 + 6 x 36 /4
[tex]35 - 12 + \frac{6 - 36}{4 } \\ 35 - 12 + \frac{216}{4} [/tex]
2. Divide the number[tex] 35 - 12 + \frac{216}{4} \\ 35 - 12 + 54[/tex]
3. Add the numbers[tex]35 - 12 + 54 \\ 77[/tex]
Solution : 77Help asap I DONT KNOW THIS QUESTION!!!
Answer:
a and b is ur answer
Step-by-step explanation:
what is the transformation
(x,y) (x+5,y -3)
(x -5, y+3)
(x+3 y-5 )
x-3,y +5
EASY POINTS Identify the type of function represented
Answer:
exponential growth
Step-by-step explanation:
f(x) = 4 * 2^x
This function is in the form
y = a * b^x where a is the initial value and b is the growth or decay rate
This is exponential form
if b > 1 then it is growth
0< b < 1 it is decay
b =2 so it is growth
Please I need help ASAP
Answer: 50 mg
Step-by-step explanation:
Substituting into the half-life formula, we get that
[tex]N(t)=800\left(\frac{1}{2} \right)^{t/25}[/tex]
So, after 100 years,
[tex]N(100)=800\left(\frac{1}{2} \right)^{100/25}=\boxed{50 \text{ mg}}[/tex]
answer quickly pls pls pls
Leah just moved and she's looking for a new dance studio. She gets to list the price from tip top toes charges $300 for 12 classes and groovin amd movin charges $264 11 classes which studio offers the better deal?
simplify (4x^3)^2 (3x)^5
Answer:
(4x³)² (3x)⁵ = 3888x¹¹Step-by-step explanation:
(4x³)² (3x)⁵ = 4²(x³)² (3)⁵(x)⁵
= 16x⁶ (243)x⁵
= (16 × 243) (x⁶ × x⁵) [commutative property]
= (3888) (x¹¹) [exponent property]
= 3888x¹¹
What is the square root of 121 ?
Answer:
√121 = 11
Explanation:
11 × 11 = 121
Answer:
11
Step-by-step explanation:
The square root of 121 is 11.
= 11*11 = √(121)
= 121 = 11
done
What is the probability of picking a blue marble and flipping heads?
Answer:
7/11
Step-by-step explanation:
blue = 1 + 1 + 1 + 1 + 1 + 1 + 1 = 7 that will be blue.
green = 1 + 1 + 1 + 1 = 4 that will be green.
So it’s going to be 7 + 4 = 11 in total then do
7/11
Is it 7/22
The table below shows how the age of a certain tree is related to the diameter
(width) of its trunk. How old (in years) is a tree whose trunk is 11 inches in
diameter?
Trunk diameter
(inches)
Age
(years)
4
10
5
20
6
30
7
40
8
50
9
60
The age of a tree when the diameter is 11 inches is 80.
What is the age of the tree?The age of the tree increases by 10 with a 1 inch increase in the diameter of the trunk. This represents a linear increase.
The equation that can be used to represent the age of a tree given its diameter is :
age of the tree when the diameter is 4 inches + [(difference between 11 inches and 4 inches) x rate of change in age)
10 + (10 x 7) = 80
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Translate this phrase into an algebraic expression.
8 more than twice Jenny's age
Use the variable j to represent Jenny's age. Please help.. :(
Answer:
2j + 8
Step-by-step explanation:
Given: 8 more than twice Jenny's age
Let j = Jenny's age
"twice Jenny's age" means double (multiply by 2) Jenny's age = 2j
"more than" means to add, so "8 more than" = + 8
Therefore:
"8 more than twice Jenny's age" = 2j + 8