Answer:
[tex] (fog)(x) = f( \: g(x) \: ) \\ = 8(10 - 2x) - 5 \\ = 80 - 16x - 5 \\ = - 16x + 75[/tex]
[tex](gof)(x) = g( \: f(x) \: ) \\ = 10 - 2(8x - 5) \\ = 10 - 16x + 10 \\ = - 16x + 20[/tex]
I hope I helped you^_^
Let's suppose we conduct a hypothesis test about the mean value of something, and determine that we should reject the null hypothesis. What does that mean?
a. Our hypothesized mean has been proven incorrect
b. The difference between our sample mean and our hypothesized mean was most likely due to random chance.
c. The difference between our sample mean and our hypothesized mean was statistically significant.
d. The difference between our sample mean and our hypothesized mean was not statistically significant.
Answer: Choice C.
The difference between our sample mean and our hypothesized mean was statistically significant.
=========================================================
Explanation:
The null hypothesis is always set up in a way to state the following: "The mean mu is equal to some value"
The mu is a greek letter often used as the population mean symbol. The actual symbol itself looks like this [tex]\mu[/tex]
When we reject the null, we reject the idea that the mu is whatever stated value we said in the null. So we must go with the alternative hypothesis.
The sample mean we computed (xbar) is different enough from the mu value that we're able to make such a rejection. We consider this statistically significant, which is another way of saying that such a difference is not simply due to random chance.
pls help! will do brainliest
Answer:
Answer: (√3)/2
Step-by-step explanation:
[tex] \sin(35 \degree) \cos(25\degree) + \cos(35\degree) \sin(25\degree) \\ [/tex]
from trigonometry identities:
[tex] \sin(a + b) = \sin(a) \cos(b) + \cos(a) \sin(b) \\ [/tex]
a » 35°
b » 25°
Therefore;
[tex] = \sin(35\degree + 25\degree) \\ = \sin(60\degree) \\ \\ = \frac{ \sqrt{3} }{2} [/tex]
1+(-2)+3+(-4)+...+2011+(-2012)+2013
help me please. i've tried this so many times, writing it out, calculator. nothing's worked
Answer:
-27
Step-by-step explanation:
y7 + 4x
(-1)7 + 4(-5)
-7 + (-20)
-27
The drawing below shows that the two triangles are similar.
a .
Write the corresponding sides as equal ratios.
Answer:
D
if you are advanced.you can see the relationship between the first triangle and the second triangle.
but if you are not advance in geometry.you can compare the side that are relative to one another.
side Ac relative to side zx
side Bc relative to side yx
and
side Ab relative to side zy
The corresponding sides as equal ratios will be AB / YZ = BC / YZ = AC / XZ. Then the correct option is D.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
In triangles ΔABC and ΔZYX,
∠C = ∠X (Given)
∠B = ∠Y (Given)
∠A = ∠Z (Given)
The corresponding angles of the triangles are equal. Then the triangles ΔABC and ΔZYX are similar to each other. Then the equation is written as,
AB / YZ = BC / YZ = AC / XZ
The corresponding sides as equal ratios will be AB / YZ = BC / YZ = AC / XZ. Then the correct option is D.
More about the triangle link is given below.
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When you round a number, what should you do with
the digits to the right of the place to which you
are rounding?
Answer:
In general, to round to a certain place value, look at the digit to the right of that place value and make a decision. Example: 5.1837 to the nearest hundredth would be 5.18 (round down since 3<5 ), but to the nearest thousandth, it is 5.184 (round up because 7≥5 ).
Step-by-step explanation:
I will GIVE CROWN FOR THE RIGHT ANSWER
Item 1
What is the product in simplest form?
−6/11⋅3/4
−9/22
−6/13
9/22
6/13
Answer:
-9/22
Step-by-step explanation:
−6/11 x 3/4 = -18/44 = -9/22
2^-5/-4^3
with work please
9514 1404 393
Answer:
-1/2048
Step-by-step explanation:
The Order of Operations tells you to evaluate each of the exponential expressions first. Then you do the division.
= (1/32) / (-64)
= -1/(32·64) = -1/2048
__
You can also rewrite the expression in terms of powers of 2.
2^-5/-4^3 = -1/((2^5)(2^2)^3) = -1/(2^5×2^6) = -1/2^11
= -1/2048
_____
The applicable rules of exponents are ...
a^-b = 1/a^b
(a^b)^c = a^(bc)
(a^b)(a^c) = a^(b+c)
4 = 2^2
2^5 = 32
4^3 = 64
solve the inequality 4x-18<_6x-16
Answer:
B is the answer
Step-by-step explanation:
4x - 18 <= 6x - 16
4x - 6x <= -16 + 18
-2x <= 2
-x <= 1
x >= -1
What is the value of x?
Enter your answer in the box.
Answer:
angels on a triangle = 180°
so you add 75 and 50 which gives you 125 then u take away that by 180 to find x (Just the process)
and that's your answer
Find the distance between X (-3,8) and Z (-5,1). Round to the nearest tenth if necessary.
9514 1404 393
Answer:
7.3
Step-by-step explanation:
The distance formula is used for this purpose.
d = √((x2 -x1)² +(y2 -y1)²)
d = √((-5-(-3))² +(1 -8)²) = √((-2)² +(-7)²) = √(4+49) = √53
d ≈ 7.28011 ≈ 7.3 . . . units
XZ ≈ 7.3
Answer:
the correct answer is 7.3 units
Step-by-step explanation:
A city planner designs a park that is a quadrilateral with vertices at J(-1, 1), K (3, 3), L (5, -1), and
M(-1,-1). There is an entrance to the park at the midpoint of each side of the park. A straight path
connects each entrance to the entrance on the opposite side. Assuming each unit of the coordinate plane
represents 10 meters, what is the total length of the paths to the nearest meter? Round your answer to
the nearest whole number.
The total length of the paths is approximately
meters.
9514 1404 393
Answer:
83 m
Step-by-step explanation:
The attached diagram shows the lengths of the midlines to be 3.16 and 5.10 units on the coordinate plane. The sum of these is (3.16 +5.10) = 8.26 coordinate plane units. Since each unit on the coordinate plane represents 10 m, the total path length is about ...
8.26(10 m) = 82.6 m ≈ 83 m
_____
The distance formula will tell you the distances are ...
AC = √(3² +1²) = √10
BD = √(5² +1²) = √26
The total path length is about (10 m)(√10 +√26) ≈ 82.61230 m ≈ 83 m.
What is the value of the expression 3y−z/y+5z when y = 6 and z = 2?
1
3
4
16
[tex]\text{y}=6 \ \text{and} \ \text{z}=2\\\\\dfrac{3\text{y}-\text{z}}{\text{y}+5\text{z}}=\dfrac{3\cdot6-2}{6+5\cdot2}=\dfrac{18-2}{6+10}=\dfrac{16}{16}=\huge\boxed1[/tex]
Sara was making slug slime soup for her six friends. She needed 0.06
pounds of slug slime for each serving of soup. How much slug slime
does she need?
Answer:
0.01
can I have brainliest please
Step-by-step explanation:
Sara used 0.36 pounds of slug slime to make soup for her six friends.
What is multiplication?Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.
Given that, Sara was making slug slime soup for her six friends.
She needed 0.06 pounds of slug slime for each serving of soup.
So, total slug slime needed is
6×0.06
= 0.36
Therefore, the total slug slime needed for the soup is 0.36 pounds.
Learn more about the multiplication here:
https://brainly.com/question/1562995.
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Wyatt Spends a winter day recording the temperature once every three hours for science class at 9 AM the temperature was -8.8°F between 9 AM and noon the temperature increase by 13.6°F between noon and 3 PM the temperature decreased by 6.9°F between 3 PM and 6 PM the temperature went down 2.1°F what was the temperature at 3 PM
TEST ANSWER
PLS IGNORE
Mark's age, x, is 6 times his age 2 years ago.
Which equation represents the statement?
O x = 2x + 6
O x = 6(x - 2)
O x = 6x + 2.
OX= 6x – 2
x is less than or equal to 3. What is the interval notation
Answer:
Step-by-step explanation:
Answer: Interval notation: (−∞, 3) ( − ∞, 3) Any real number less than 3 in the shaded region on the number line will satisfy at least one of the two given inequalities. Example 4: Graph and give the interval notation equivalent: x<3 or x≥−1. x < 3 or x ≥ − 1. .
The statement in the mathematical form will be x ≤ 3. Then the inequality in the interval notation will be [3, ∞).
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The act of converting a specified statement into an expression or equation is known as a sentence-to-equation transformation.
x is less than or equal to 3.
Convert the statement into a mathematical inequality. Then we have
x ≤ 3
The statement "x is less than or equal to 3" in the mathematical form will be x ≤ 3.
Thus, the inequality in the interval notation will be [3, ∞).
More about the inequality link is given below.
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The sum of three consecutive integers is −387. Find the three integers.
Answer: -130, - 129, - 128
Step-by-step explanation:
x + x+1 + x+2 = - 387
3x + 3 = - 387
3x = - 387 - 3
x = - 390/3
x = - 130
how dose the maping diagram of a function differ from a mapping diagram of a function
Answer:
A function assigns only output to each input. A mapping diagram can be used to represent a relationship between input values and output values. ... A mapping diagram represents a function if each input value is paired with only one output value.
These two figures are the image and pre-image of a
dilation.
Answer:
I believe it is 8m
Step-by-step explanation:
because 4 went up 2 so that is now 6 so if 6 goes up 2 then it would be 8
6×3/8
8×4/5
8×3/4
5×4/5
2×2/3
multiplication of. proper fraction by proper fraction
Step-by-step explanation:
2.25
6.4
4
1.333
Hope is will help you
When you square or cube a negative number is it still negative or does it become positive?
Example:
(-4)^{2}
A Christian relief agency is sending two types of medical supply boxes overseas. The original plan is to send 3 boxes of medicines and 7 boxes of non-medicine supplies worth a total value of $9,000. Shortly before the supplies are shipped, the agency receiving the supplies communicates that they only need 2 boxes of medicines. If a box of non-medicine supplies is worth $300, how many boxes of non-medicine supplies can be sent if only 2 boxes of medicine are included in the shipment
The number of non-medicine that can be sent is approximately 14 boxes.
From the given statement we can form the following equation:
let the worth of a boxes of medicine = x
3x + 7(300) = 9,000
solve for x:
3x + 7(300) = 9,000
3x + 2,100 = 9,000
3x = 9,000 - 2,100
3x = 6,900
[tex]x = \frac{6,900}{3} = 2,300[/tex]
A box of medicine worth $2,300
If only 2 boxes of medicine will be sent, then the number of boxes of non-medicine is calculated as;
let the worth of all the boxes of non-medicine = y
2(2,300) + y = 9,000
4600 + y = 9,000
y = 9,000 - 4600
y = 4,400
Now we solve for the number of boxes of non-medicine as follows:
n(300) = 4,400
[tex]n= \frac{4400}{300} = 14.67 \approx 14 \ boxes \ of \ non-medicine \ can \ be \ sent[/tex]
Thus, the number of non-medicine that can be sent is approximately 14 boxes.
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five friends are sharing 2.5 pizzas. how much pizza does each person get?(will give branlist)for 10 points
Answer:
2 slices
Step-by-step explanation:
please mark brainliest
How many distinct prime factors are in the number 120 ?
Answer:
3.
Step-by-step explanation:
Note the prime factorization of 120,
[tex]120=2^3\times 3\times 5[/tex]
Therefore, there are 3 distinct prime factors, namely 2, 3 and 5.
What is the value of the expression -11 + 24 + (-32)
Answer:
-19
Step-by-step explanation:
Just used the calculator, hope this helps
Answer:
-19
Step-by-step explanation:
You can split the equation into two steps:
1. - 11 + 24. You can also flip around the terms and get 24 - 11. 24 - 11 = 13 so - 11 + 24 = 13.
Next -
2. 13 + (-32). When you are adding a negative number, it is the same as subtracting the positive of that number, so we can turn the equation into 13 - 32. 13 - 32 = -19
:)
Christina took $20 with her to the movies. She spent $18, then Meredith gave her $10 that she owed her, and finally she spent $8 more. How much money did she go home with? ( im in 7th grade)
Answer:
she went back home with 4 dollars
Find the value of x and
y if x-y=3 and 2x+3y=4
Answer:
Step-by-step explanation:
Given :
x-y = 3 equation(i)
2x + 3y = 4 equation(ii)
Now,
x - y = 3
x = 3 + y
substitute the value of x in equation (ii)
2x + 3y = 4
2(3 + y) + 3y = 4
6 + 2y + 3y = 4
6 + 5y = 4
y = -2/5
you are swimming each a 25-yard lap pool 3 seconds faster than your personal best what integer represents your change in time of your personall best after 200 yards
Find the equation for the circle with center (−4,−3) and diameter of length 14.
9514 1404 393
Answer:
(x +4)² +(y +3)² = 49
Step-by-step explanation:
The radius is half the diameter, so is 14/2 = 7.
The equation of a circle with center (h, k) and radius r is ...
(x -h)² +(y -k)² = r²
The equation of the circle with center (-4, -3) and radius 7 is ...
(x +4)² +(y +3)² = 49
