Answer:
x=1
Step-by-step explanation:
4x-4=0
4x=4
Therefore, x=1
Describe using the word x. It simply means to translate the amount you've discovered into the variable x.
Given
h(x)=4x-4
once h(x) = 0
0 = 4x-4
4x = 4
x =4/4
x = 1
The phrase "f (x)" denotes a formula with x serving as its input variable.
A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain.Four main categories can be used to classify different sorts of functions. The following relationships are based on the element: One to One Function, Many to One Function, Onto Function, One to One and Onto Function, Into Function.To learn more about h in terms of X refer to:
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Michael has a substantial student debt, but he recently got a new job, which came with a signing bonus. He calculates that with his new
job, he can put aside a fixed amount of money every month to pay off his debt. He also puts the entirety of his bonus towards paying off
his debt. He constructs the expression 36, 700 - (5,000+ 500m)to represent the size of his debt after m months. Which number
describes the value of his signing bonus?
I need help plz
Answer:
Michael needs to save $63.40, approximately.Step-by-step explanation:
The given expression is
[tex]36,700 - (5,000 + 500m)=0[/tex]
Where [tex]m[/tex] is months.
We need to solve for the variable.
[tex]36,700-5,000-500m=0\\31,700=500m\\m=\frac{31700}{500} \approx 63.4[/tex]
Therefore, Michael needs to save $63.40, approximately.
Answer:
The number representing describing the value of his signing bonus = 5,000.
Step-by-step explanation:
Total debt = $36,700
He pays $500 every month from his monthly salaries, since m = months.
The $5,000 is the amount of his signing bonus, which puts entirely towards paying off his debt.
It is like the fixed payment. While the 500m is the variable payment per month.
So, at the end of any number of months, you can easily calculate the remaining debt using the expression, 36,700 - (5,000 + 500m)
A rectangular prism is cut diagonally, resulting in the creation of two triangular prisms. What is the two-dimensional shape resulting from this cut?
Answer:
A rectangle
Step-by-step explanation
Cutting the rectangular prism diagonally will result in the creation of two triangular prisms taking the two dimensional shape of a rectangle as its cross section.
Diagonal cutting means cutting that passes from the top edge of cuboid to edge on the bottom on opposite sides. This way, a rectangular two dimensional shaped cross section is formed
Answer:
circle, rectangle
Step-by-step explanation:
Which description matches finding the volume of the solid ?
Answer:
As shown in the picture, the volume of solid is
V = Rectangular prism - half cylinder
Hope this helps!
:)
Answer:
Last option
Step-by-step explanation:
It's a cuboid/rectangular prism
The curve on top is due to half a cylinder being removed
If a sample mean is 37,which of the following is most likely the range of possible values that best describes an estimate for the population mean?
Answer:
(32, 42)
Step-by-step explanation:
Answer:
(32,42)
Step-by-step explanation:
A chessboard has 64 squares. George places 1 grain of rice on the first square, 2 grains on the second square, 4 grains on the third square, 8 grains on the fourth square, and so on, until he has placed grains of rice on 10 squares.
Once George has put rice on the 10th square, he has placed a total of _____ grains of rice on the chess board.
Hey there! I'm happy to help out!
As you can see, our number keeps on doubling. It's like 2×2×2×2.... so on and so forth. Whenever we multiply a number by itself, we can model it as an exponent, so if we had 2², it is two twos being multiplied, and 2×2=4. If it was 2³, it would be 2×2×2=8.
However, we have a one. This signifies a starting point and exponents have our back. Anything to the 0th power is always equal to one! So, this situation would look something like this:
[tex]2^0, 2^1, 2^2, 2^3,2^4,... etc.[/tex]
So, for the second square, we are going to the first power. For the fourth square it's going to the third power. Therefore, the 10th square will be the 9th power!
[tex]2^9=[/tex] 2×2×2×2×2×2×2×2×2= 512
However, we want to find how much he has done in total! So, let's find how much he did on the other squares!
[tex]2^8[/tex]= 256
[tex]2^7[/tex]=128
[tex]2^6[/tex]=64
[tex]2^5[/tex]=32
[tex]2^4[/tex]=16
2³=8
2²=4
[tex]2^1[/tex]=2
[tex]2^0[/tex]=1
Now, we add these all up to find the total grains of rice!
512+256+64+32+16+8+4+2+1=895
Therefore, George has placed a total of 895 grains of rice on the chess board.
I hope that this helps! Have a wonderful day!
Once George has put rice on the 10th square, he has placed a total of 1023 grains of rice on the chessboard.
What is a geometric sequence?A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant.
We have,
On the first square, George placed 1 grain of rice.
On the second square, he placed 2 grains.
On the third square, he placed 4 grains.
On the fourth square, he placed 8 grains.
In general, on the nth square, he places [tex]2^{n-1}[/tex] grains.
So,
On the first 10 squares,
1 + 2 + 4 + 8 + ... + [tex]2^9[/tex]
This is a geometric series with a first term of 1 and a common ratio of 2.
The sum of the first n terms of a geometric series.
[tex]S_n[/tex] =[tex]a(1 - r^n) / (1 - r)[/tex]
where a is the first term, r is the common ratio, and n is the number of terms.
Substituting the values,
[tex]S_{10}[/tex] = 1(1 - 2^10) / (1 - 2)
= 1(1 - 1024) / (-1)
= 1023
Therefore,
Once George has put rice on the 10th square, he has placed a total of 1023 grains of rice on the chessboard.
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Classify each representation shown below as either linear or exponential.
x y
0 5
1 7.5
2 11.25
y = 2x + 4
One person sends an email to 2 people. Those 2 people send it to 4 people, and those 4 send it to 8 people.
1. Exponential
2. Linear
3. Exponential
If ItsAkelia (me) had 1M subs and M00dybear had 1M who had more?
(not real sub count but just asking)
Answer:
If you both have 1M subs then its the same, not one person has more
a reading teacher recorded the number of pages read in an hour by each of her students. The numbers are shown below: 54,39,29,43,60,44,35,49,51. for this data, which summary statistic is not correct?
Answer: The answer is 29, because that 29 would be the outlier of the numbers.
Step-by-step explanation:
A math class is having a discussion on how to determine if the expressions 4x-x+5 and 8-3x-3 are equivalent using
substitution. The class has suggested four different methods.
Which describes the correct method?
O Both expressions should be evaluated with one value. If the final values of the expressions are both positive, then the two
expressions must be equivalent.
Both expressions should be evaluated with one value. If the final values of the expressions are the same, then the two
expressions must be equivalent.
Both expressions should be evaluated with two different values. If for each substituted value, the final values of the
expressions are positive, then the two expressions must be equivalent.
O Both expressions should be evaluated with two different values. If for each substituted value, the final values of the
expressions are the same, then the two expressions must be equivalent.
6:55 PM
5/15/2020
o
Type here to search
Answer:
Both expressions should be evaluated with two different values. If for each substituted value, the final values of the expressions are the same, then the two expressions must be equivalent.
Step-by-step explanation:
Both expressions are linear expressions. It takes 2 points to define a line. If the lines defined by each expression go through the same two points, then the expressions are equivalent.
If the expressions have the same value for two different variable values, they are equivalent. (choice D)
_____
Additional comment
One more point is needed than the degree of the polynomial expression. That is, quadratic (degree 2) expressions will be equivalent if they go through the same 2+1 = 3 points.
g(x) = 9x plug in g(9)
Answer:
81
Step-by-step explanation:
replace x with 9 so it's 9x9 which is 81
Answer:
g(9) = 81
Step-by-step explanation:
g(x) = 9x
g(9) = 9(9) = 81
Need help solving this
Answer:
c: no solution
Step-by-step explanation:
Can y’all answer this or not !?
Answer:
b
Step-by-step explanation:
Answer:
x=417.6
Step-by-step explanation:
Let's solve your equation step-by-step.
0.5x+78.2=287
Step 1: Subtract 78.2 from both sides.
0.5x+78.2−78.2=287−78.2
0.5x=208.8
Step 2: Divide both sides by 0.5.
0.5x divided by 0.5
208.08 divided by 0.5
1.] What is the probability of choosing a king
from a standard deck of playing cards?
Answer:
1/13
Step-by-step explanation:
there are 4 kings in a deck of 52 cards.
4/52 = 1/13
What does 2 + 2 = ?
Answer:
4
Step-by-step explanation:
1+1+1+1 or 2 + 2
Apple exist in the world. This particular tree only have 4 perfect apples total. Because you only have one friend, they help you pick 2 out of the 4 apples. Then you pick 2 of the other apple. Without dropping or eating them, he gave both of his apple to you . How many apple do you have without dropping or eating them?
Answer:
4
Step-by-step explanation:
State the domain and range for the function. f(x)= -tan x
Answer:
domain: (-∞, ∞) \ (kπ+π/2 for integers k)range: (-∞, ∞)Step-by-step explanation:
The tangent function is undefined at odd multiples of π/2. It can take on any value.
The domain is all real numbers except odd multiples of π/2.
The range is all real numbers.
Answer: it’s b
Step-by-step explanation:
edge
Tell the measure of the angles In degrees 1/4
Answer:
so 1/4 of a circle is 90 degrees 1/4 is equal to 90 over 360 C it's 90 parts of 360. so here we go with this one. this angle is 20 degrees remember that's 90 alright the square one and this little part would be 20 degrees each angle appears wider as the Rays get longer.
Step-by-step explanation:
Let me know if this help's you lol :)
Which expression is equivalent to 5(2+7)
A. 2(5+7)
B. 2+7(5)
C. 5(2)+7
D.5(2)+5(7)
Answer:
D
Step-by-step explanation:
So 5(2+7) equals 45
A. 2(5+7)=24
B. 2+7(5)=37
C. 5(2)+7=17
D.5(2)+5(7)=45
Only D equals 45
Hope I helped :D
arc length of a half of a circle with radius of 9
Answer:28.26
Step-by-step explanation:
Φ=180 since it's in a straight line
Radius=r=9
π=3.14
Length of arc=Φ/360 x 2 x π x r
Length of arc=180/360 x 2 x 3.14 x 9
Length of arc=0.5 x 2 x 3.14 x 9
Length of arc=28.26
A class of 64 students was given 320 book how many will each students take home
Each student will take=320/64
=5
So the answer is 5.
Hope it will be helpful to you...
✧◝(⁰▿⁰)◜✧
Suppose the following set of random numbers is being used to simulate the event of a basketball player making 3 free throws in a row. How should the numbers be arranged?
Answer:
860 583 785 814 010 122 337 198 621 549 034 076 796 495 978 078 433 330 333 153
Step-by-step explanation:
a p e x :))
Answer: 860 583 785 814 010 122 337 198 621 549 034 076 796 495 978 078 433 330 333 153
Step-by-step explanation:
Pls help with these questions I can give brainliest thank you all! 9 a and b
Answer:
A. 8 1/4 * 11 1/2 * 14=1328 1/4 ft^2
OR
8 1/4 height times 11 1/2 width times 14 in length equals 1328 1/4 feet squared
B. 8 1/4 * 14 1/2 * 14=1674 3/4
OR
8 1/4 height times 11 1/2 width plus 3 so 14 1/2 width times 14 equals 1674 3/4 feet squared
Step-by-step explanation:
The vertices of ΔDEF have coordinates D(–1, 2), E(3, 3), and F (2, –4).What are the coordinates of the vertices of r(90°, O)(ΔDEF)?
Answer:
D,E
Step-by-step explanation:
hope I helped
A radio station claims that the amount of advertising per hour of broadcast time has an average of 13 minutes and a standard deviation equal to 1.2 minutes. You listen to the radio station for 1 hour, at a randomly selected time, and carefully observe that the amount of advertising time is equal to 17 minutes. Calculate the z-score for this amount of advertising time.
Answer:
[tex]Z = 3.33[/tex]
Step-by-step explanation:
Z-score:
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question:
[tex]\mu = 13, \sigma = 1.2[/tex]
You listen to the radio station for 1 hour, at a randomly selected time, and carefully observe that the amount of advertising time is equal to 17 minutes. Calculate the z-score for this amount of advertising time.
We have to find Z when X = 17. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{17 - 13}{1.2}[/tex]
[tex]Z = 3.33[/tex]
One brand of coffee is packaged in cylinders where the height is equal to the radius, r. The volume of the package, in cubic centimeters, can be found using the function V(r) = πr3. The number of ounces of coffee in the cylinder depends on the volume of the cylinder, V, in cubic centimeters. This can be modeled by the function C(V) = 3.2V. Which function can be used to find the number of ounces of coffee in the can based on its radius? C(V(r)) = 32.768πr3 C(V(r)) = 3.2πr3
Answer:
C(V(r)) = 3.2πr3Step-by-step explanation:
This problem is a composition of function defined by C(V(r)), now we have the functions [tex]V(r)= \pi r^{3}[/tex] and [tex]C(V)=3.2V[/tex], where the first depends on the radius, and the second dependes on the volume, that means, to find the number of ounce of coffe, we need to determine the volume of the cylinder, that's why we have to replace the volume function inside the ounces function,
[tex]C(V(r))=3.2(\pi r^{3} )[/tex]
Therefore, the right answer is the last choice.
Given: 5(x + 2) - 3 = 4(x - 1)
Prove: x = -11
Statement Reason
5(x + 2) - 3 = 4(x - 1) given
5x + 10 - 3 = 4x - 4 [?]
5x + 7 = 4x - 4 addition
5x = 4x - 11 subtraction
x = -11 subtraction
Answer:-11 proved
Step-by-step explanation:
5(x+2)-3=4(x-1)
Open brackets
5x+10-3=4x-4
Collect like terms
5x-4x=-4+3-10
x=-11
Maggie is rock climbing. After reaching the summit, she descends 14 feet in 2 1/3 minutes. If she continues at this rate, where will Maggie be in relation to the summit after 8 minutes?
Answer:
about 27.42
Step-by-step explanation:
What are the roots of y = x2 – 3x – 10?
0-3 and -10
-2 and 5
X 2 and -5
3 and 10
Answer:
x = 5 x = -2
Step-by-step explanation:
y = x^2 – 3x – 10
Set the equation equal to zero
0= x^2 – 3x – 10
Factor
What 2 numbers multiply to -10 and add to -3
-5 *2 = -10
-5+2 = -3
0=(x-5) ( x+2)
Using the zero product property
x-5 = 0 x+2 = 0
x = 5 x = -2
Answer:
-2 and 5
Step-by-step explanation:
trust
What is 7/10 divided by 12 simplified
Answer:
7 /120
Step-by-step explanation:
7/10 ÷ 12
Copy dot flip
7/10 * 1/12
7 /120
Answer:
0.058333
Step-by-step explanation:
If V = 15 cm, W = 20 cm, X = 25 cm, Y = 7 cm, and Z = 22 cm, what is the perimeter of the object?
A.
53 cm
B.
64 cm
C.
118 cm
D.
78 cm
Answer:
Sum of all the sides.
Step-by-step explanation:
Perimeter is the sum of the distance in length or width, or height or circumference of all the sides of an object.
Therefore the sum total of the given sides V, W, x ,Y, Z are;
15 +20 + 25 + 7 + 22 = 89cm
Since a picture isn't available to know which sides of the objects can be added.
Mariah is studying the life cycle of the monarch butterfly. She must choose one stage in the cycle to present in science class: egg, caterpillar, chrysalis, or adult. She plans to make her choice randomly using a custom spinner divided into four sections. First, however, she spins the spinner 50 times to see the frequencies it generates.
Stage Times Landed On
egg 10
caterpillar 12
chrysalis 15
adult 13
The relative frequency of landing on egg is .
The relative frequency of landing on caterpillar is .
The relative frequency of landing on chrysalis is .
The relative frequency of landing on adult is .
All the outcomes be considered equally likely.
The relative frequency of landing on an egg, caterpillar, chrysalis and adults are 0.2, 0.24, 0.3 and 0.26.
What is the relative frequency?"Relative frequency represents the ratio of the number of times a value of the data occurs in a dataset".
For the given situation,
Number of times egg landed on spin, x1 = 10
Number of times caterpillar landed on spin, x2 = 10
Number of times chrysalis landed on spin, x3 = 15
Number of times adult landed on spin, x4 = 13
Total number of times, n = 50
The formula for relative frequency = [tex]\frac{x}{n}[/tex]
The relative frequency of landing on an egg = [tex]\frac{10}{50}[/tex]
⇒ [tex]0.2[/tex]
The relative frequency of landing on caterpillar = [tex]\frac{12}{50}[/tex]
⇒[tex]0.24[/tex]
The relative frequency of landing on chrysalis = [tex]\frac{15}{50}[/tex]
⇒ [tex]0.3[/tex]
The relative frequency of landing on adults = [tex]\frac{13}{50}[/tex]
⇒ [tex]0.26[/tex]
Hence we can conclude that the relative frequency of landing on an egg, caterpillar, chrysalis, and adults are 0.2, 0.24, 0.3 and 0.26.
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Answer:
The relative frequency of landing on egg is 0.2.The relative frequency of landing on caterpillar is 0.24.The relative frequency of landing on chrysalis is 0.3.The relative frequency of landing on adult is 0.26.All the outcomes can be considered equally likely.Step-by-step explanation:
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