(h ◦ f)(x) is the composition of h(x) with f(x),
(h ◦ f)(x) = h(f(x))
which we can compute by simplying replacing in h(x) every instance of x with f(x) itself:
(h ◦ f)(x) = h(f(x))
(h ◦ f)(x) = h(5x - 1)
(h ◦ f)(x) = -(5x - 1) + 5
(h ◦ f)(x) = -5x + 1 + 5
(h ◦ f)(x) = -5x + 6
Then
(h ◦ f)(3) = -5 • 3 + 6
(h ◦ f)(3) = -15 + 6
(h ◦ f)(3) = -9
What is the equation of a line with a slope of -3 and a y-intercept of 4?
O A. y= 4x+3
O B. y=-3x+4
O C. y = 4x-3
0 D. y = -3x - 4
Answer:
B. y=-3x+4
Step-by-step explanation:
slope always has the variable
Answer:
Step-by-step explanation:
hello :
an equation for the line is : y=ax+b when a is the slope
so : a= -3
y-intercept of 4 means x=0 y=4
Answer: B because x=0 y=-3(0)+4 = 4
What is the volume of the prism? __ in.³.
Answer:
volume is 20^3 inches i hope i helped
(mark brainliest)
Give the dimensions of 2 solids with equal surface area and different volume
Two solids with the same surface and different volumes are a cube of side length of 1 unit, and a sphere of radius of 0.69 units.
How to find the two solids?
First, let's define a cube of a side length of 1 unit. The surface of this cube is equal to 6 times the area of one of the faces, or:
S = 6*(1 unit square) = 6 units square.
And the volume is equal to the side length cubed, so we have:
V = (1 unit)^3 = 1 unit cubed.
Now, let's find a sphere with the same surface than our cube. For a sphere of radius R, the surface is:
S = 4*3.14*R^2
Then we must have:
4*3.14*R^2 = 6 units square
R = √(6/(4*3.14)) units = 0.69 units.
And the volume of this sphere is:
V = (4/3)*3.14*R^3 = (4/3)*3.14*(0.69 units)^3 = 1.38 cubic units.
So the sphere has the same surface and more volume.
If you want to learn more about solids, you can read:
https://brainly.com/question/10171109
19.A bag contains 8 blue coins and 6 red
coins. A coin is removed at random and replaced by three of the other color.
What is the probability that the removed coin is blue?
8+3=11 6-1=5 11+5=16 5/16
A) 4/7
B) 9/16
C) 4/9
The stem-and-leaf plot shows the number of digs for the top 15 players at a volleyball tournament
Stem
4
5
6
7
8
9
Leaf
11 3 3 5
0 2 3 4
2 3 3 7
5
7
Key: 50 = 50 digs
13
سية
Find the mean, median, mode, range, and interquartile range of the data. Round your answers to the nearest tenth, if necessary
The mean is
The median is
The modes from least to greatest are and
The range is
The interquartile range is
Answer:
The mean is 56.6, the median is 53, modes are 41, 43, and 63, the range is 56, and the IQR is 20.
Step-by-step explanation:
The average (mean) is equal to the sum of all the data values divided by the count of values in the data set.
Average = Sum / Count
= 849 / 15
= 56.6
Tom has 2 feet of wire. He uses of the wire to hang a picture. How much wire did he use to hang the picture?
A. 2 4/7 feet
B. 1 9/10
C. 1 7/10
D. 1 1/2
Answer:
D. 1 1/2 feet
Step-by-step explanation:
Multiply the numbers to find the length of wire used.
2 1/2 × 3/5 = 5/2 × 3/5 = 3/2 = 1 1/2 feetCorrect choice is D
Evaluate the expression when a=4 and x=-6.
a-8x
Answer:
52
Step-by-step explanation:
a-8x =4-8×-6
=4-(-48)= 4+48=52
what is the solution to 2x + 5 = 6x – 5? Show your work.
Why aren't convenience samples usually representative
of the population?
Answer:
The results of the convenience sampling cannot be generalized to the target population because of the potential bias of the sampling technique due to under-representation of subgroups in the sample in comparison to the population of interest. The bias of the sample cannot be measured.
-28;a)__; -20; -16;b)__
help me please
Answer:
It ether -36 or a-28
Work out
2 × 1015
8 × 108
Give your answer in standard form
Answer:
2.03 × 103 and 8.64 × 102
Step-by-step explanation:
write 156/51 as a mixed number in simplest terms
A) 3 1/17
B) 3 3/51
C) 3 2/51
D) 3 1/27
Answer:
B option is the answer, hope this helps!!
Please help! First answer correct BRAINLIEST
Answer:
8 in
Step-by-step explanation:
Area=(1/2)*(p1+p2)*d
Please help quick!
Subtracting a number is the same as adding its opposite.
Use this understanding to complete each of the equations below.
Enter numbers to evaluate −5−(−7).
‐5 –(‐7)= ‐5 + _______
= ________
Enter numbers to evaluate −5−7.
‐5− 7 = ‐5 + _______
= ________
Answer:
First space: 7
second space: 2
third space: -7
last space: -12
Step-by-step explanation:
To subtract, use "Add the opposite". In the problem the minus has aready been changed to adding, so you just change the second number (-7 in the first part or 7 in the second part) to their opposite sign. see image.
There are 9 new books and 5 used books on a shelf.
(a) What is the ratio of all books on the shelf to used books?
(b) What is the ratio of new books to all books on the shelf?
Answer:
A- 14:5
B - 9:14
Step-by-step explanation:
Hope this helps!!!
Can y’all figure out the answer for me please
Answer:
Step-by-step explanation:
true
if angle BCA is 90° and angle EFD is 90°
and if C to A is 14, half of that is 7 which is what F to D is
help me please this is hardddd
Answer:
4) C
5) A, B, and D
6) 0.99m+50
7) h=d/2
Step-by-step explanation:
the height h of a projectile at any time t after launch is defined by the function h(t) =5t^2+13t + 6
Answer:
The equation sets the parabola. You can find the parabola vertex as:
then
This means that the maximum height is 11.375 m and a projectilereaches this height at 1.25 seconds.
The projectile initially launched at time t=0, so the initial height is h(0)=2 m
Step-by-step explanation:
There are 8 ounces in a ½ pond. How many ounces are in 7¾ lbs
7 3/4 pounds contains 124 ounces
8 ounces = 0.5 pound
X ounces = 1 pound
X = 8 / 0.5 = 16 ounces
7 3/4 = 7.75
7.75 contains = 7.75 * 16
= 124 ounces
The maximum acceptable level of a certain toxic chemical in vegetables has been set at 0.4
parts per million (ppm). A consumer health group measured the level of the chemical in a
random sample of tomatoes obtained from one producer.
The levels, in ppm, are shown below.
0.31 0.47 0.19 0.72 0.56
0.91 0.29 0.83 0.49 0.28
0.31 0.46 0.25 0.34 0.17
0.58 0.19 0.26 0.47 0.81
Does the data provide sufficient evidence to support the claim that the mean level of the
chemical in tomatoes from this producer is greater than the recommended level of 0.4 ppm?
Use a 0.05 significance level to test the claim that these sample levels come from a population
with a mean greater than 0.4 ppm. Use the P-value method of testing hypotheses. Assume that
the standard deviation of levels of the chemical in all such tomatoes is 0.21 ppm.
Choose the correct null and alternative hypotheses associated with this experiment.
Null hypothesis (H0): The mean level of the chemical in tomatoes from this producer is equal to or less than the recommended level of 0.4 ppm.
Given that, the maximum acceptable level of a certain toxic chemical in vegetables has been set at 0.4 parts per million (ppm).
Alternative hypothesis (H1): The mean level of the chemical in tomatoes from this producer is greater than the recommended level of 0.4 ppm.
To test the claim, we will use a one-tailed hypothesis test with a significance level of 0.05. The test statistic is calculated by subtracting the mean of the sample from the mean of the population, and dividing the result by the standard deviation of the population.
Test statistic = (Sample mean - Population mean) / Standard deviation of population
Test statistic = (0.465 - 0.4) / 0.21
Test statistic = 2.38
Since the test statistic is positive, we can reject the null hypothesis. The P-value for this test statistic is 0.0095, which is less than 0.05.
Therefore, the data provides sufficient evidence to support the claim that the mean level of the chemical in tomatoes from this producer is greater than the recommended level of 0.4 ppm.
Learn more about the random sample here:
https://brainly.com/question/12719656.
#SPJ1
Apr 09,5:30:49 PM
Please help I am lost I’m not smart…
the piece-wise function is, -x - 5 when x ≠ -2
and when x = -2, the function's value is -2
what that means is when x = -4, the subfunction of -x - 5 is the one to use, because x = -4 is in that range
so f(-4) = -(-4) - 5 => f(-4) = -1.
so the function's graph look more or less like the one below, with a solid line going but with a gap at x = -2.
solve system of equations can someone show step by step please
2x-6y=-12
x+2y=14
Answer:
x=6 y=4
Step-by-step explanation:
I hope this helps you and please mark me as brainlest!
Andrea made her aunt a garden. The width is 8 3/7 ft and the length is 7 2/3 ft. What is the area of the garden?
NOTE: We are finding the area in the problem
Answer:
I think the area is 513/21
I need help look at the picture attached
Answer:
340.8 m
Step-by-step explanation:
Find the area of rectangles:
15 x 8 = 120
6x8=48
16x8=128
Find area of triangle:
1/2 5.6 x 16 = 44.8
Add together:
120 + 48 + 128 + 44.8 = 340.8 m
Hope this helps :)
Super easy math, problem solving 7th grade
Answer:
P=1, G=2, T=3, E=6, D=7, A=9
explanation:
CAT+DOG=PETS
Replace each letter with its value:
893+742=1635 which is true
Juan measured the thickness of the books in his bookcase. This line plot shows his results. Juan stacked the thinnest books and thickest book in one pile. How thick was his pile of books?
The thickness of the pile of books measured by Juan and the information in the line plot is 5.
What is the thickness of the pile of books?Based on the information in the line plot, the thinnest book has a thickess of 1 1/4 and the thickest book has a thickess of 2 1/2.
The thickness of the pile of books = (1 1/4 x 2) + 21/2
(5/4 x 2) + 2 1/4 = 5
Please find attached the complete question. To learn more about multiplication of fractions, please check: https://brainly.com/question/1114498
Please help me on this. you will get 100 points!!!!!!!!!!!!!!!!!!!!!!
Circle One:
No
Explain:
The chart shows that teenagers get roughly between 7 - 8 and 1/2 hours of sleep every night. It shows that no teenagers get 9 and 9 and 1/2 hours of sleep. This is why their data does not support the delay to starting time.
I need help ASAP! I took a screenshot of the question and linked it.
Answer:
18. $5890
19. Mitsubishi Mirage
Step-by-step explanation:
The depreciated value can be found using an exponential relation. The decay rate here is given as 12.5%. The exponential function will have the form ...
y = a·b^x . . . . . a = initial value, b = decay factor = 1 - decay rate
__
18.The above equation will have a=15,000, representing the initial value of the car. It will have b=(1-0.125) = 0.875, the decay factor for the car's value. In the 7 years between your 18th and 25th birthdays, the car will have declined in value to ...
y = $15000·0.875^7 ≈ $5890.44
When you turn 25, the car will be worth about $5890.
__
19.We found three cars with a price under $15,000:
Nissan VersaChevrolet SparkMitsubishi MirageOf these, the Mirage gets the best mileage and has the most cargo space. (It also has the smallest engine.) The Spark has a continuously-variable transmission, not a 5-speed manual, so will be somewhat easier to drive. Its mileage is almost as good, but its range is about 10% less than that of the Mirage or Versa.
(Your curriculum may offer different choices. We cannot tell.)
Perhaps you got a Mitsubishi Mirage.
36
36
is what percent less than 60
60
?
Answer:
thats only the answer <3
Find x in each triangle
Answer:
Applying Pythagoras we get x= 9
Answer:
using the relation,
h²=p²+b²:
15²=x²+12²
x=(225-144)^0.5
x=9
therefore x equal 9 meter.
