Answer:
a. False. A constant is a number on it's own, and 5 would be the coefficient of x. 8 would be the constant.
b. False. -6.5 would be the constant, since it's on its own. But actually, x would be carrying on a coefficient of 1. Letters are variables, not constants.
c. True.
Mr. Bryant earns $32 per hour. He regularly works 40 hours per week. If he works 26 overtime hours (at time- and-a-half), would his overtime pay exceed his regular gross pay? Explain your answer.
If you buy a motorcycle for $12,500 in 2015 and it depreciates (shrinks) in value by 15.5% every year, how much will it be worth in 2020?
A) $10,562.50
B) $1718.33
C) $6732.90
D) $5385.10
Answer:
D) $5385.10
Step-by-step explanation:
Exponential equation of decay:
The exponential equation for the decay of an amount after t years is given by:
[tex]A(t) = A(0)(1-r)^t[/tex]
In which A(0) is the initial amount and r is the decay rate, as a decimal.
If you buy a motorcycle for $12,500 in 2015 and it depreciates (shrinks) in value by 15.5% every year
This means that [tex]A(0) = 12500, r = 0.155[/tex]
So
[tex]A(t) = A(0)(1-r)^t[/tex]
[tex]A(t) = 12500(1-0.155)^t[/tex]
[tex]A(t) = 12500(0.845)^t[/tex]
How much will it be worth in 2020?
2020 is 2020 - 2015 = 5 years after 2015, so this is A(5). So
[tex]A(5) = 12500(0.845)^5 = 5385.10[/tex]
The correct answer is given by option D.
Which expressions are equivalent to the given expression?v252
Answer:
a and b
Step-by-step explanation:
what is 20 x 3-4 + 80 / 988 + 444444 x 343
Ken flips a coin and draws a card. Is this a independent or dependent event?
The function f is defined by f(x) = 5x2 + 2x + 5. What is the value of f(2)?
Answer:
[tex]f(x) = 5 {x}^{2} + 2x + 5 \\ when \: x = 2 \\ f(2) = 5( {2})^{2} + 2(2) + 5 \\f(2) = 29[/tex]
The sum of −7 times a number and 8 times the sum of the number and 1 is the same as the number minus 7.
Answer:
n has no value.
There is no solution to this equation
Step-by-step explanation:
let n be the number
In pieces:
sum of the number and 1: (n + 1)
8 times the sum: 8(n + 1)
-7 times a number: -7n
sum of -7 times and...: -7n + 8(n + 1)
number minus 7: n - 7
the same as: =
All together:
-7n + 8(n + 1) = n - 7
-7n + 8(n+1)=n-7
-7n + 8n+8=n-7
0=-15
Solve for x and y:
Ty– 5x = 45
x = 8 - 2y
O x = 5, y = 10
O x = 5, y = -2
x = -2, y = 5
O x = 4, y = 2
Answer:
x = -2
y = 5
Step-by-step explanation:
7y - 5x = 45 -------------------(I)
x = 8 - 2y -----------------------(II)
Substitute x = 8 - 2y in equation (II)
7y - 5(8-2y) = 45
7y + 8 *(-5) - 2y*(-5) = 45
7y - 40 + 10y = 45
17y - 40 = 45
17y = 45 + 40
17y = 85
y = 85/17
y = 5
Plugin y = 5 in equation (II)
x = 8 - 2*5
x = 8 - 10
x = -2
Which of the following sequences is an arithmetic sequence? Select all correct answers.
Select all that apply:
1,2,3,4,5,6,…
5,0,−5,−10,−5,0,…
−4,−6,−8,−10,−8,−6,…
3,0,−3,−6,−9,−12,…
6,5,4,3,2,1,…
Answer:
1st, 4th and 5th are in arithmetic sequence.
Answer:
a) 1,2,3,4,5,6............
d) 3,0, -3 ,-6,-9,-12.............
e) 6,5,4,3,2,1...........
are arithmetic sequence
Step-by-step explanation:
Arithmetic sequence is series of numbers that the difference of consecutive terms is constant
a) 1, 2 , 3 , 4 , 5 , 6...........
Common difference = 1
d) 3,0, -3 ,-6,-9,-12.............
Common difference = second term - first term
= 0 - 3 = -3
e) 6,5,4,3,2,1...........
Common difference = 5 - 6 = - 1
CAN SOMEONE PLEASE ANSWER THIS FOR ME
Ani do niot know lol
Step-by-step explanation:
Answer:
J. 20ft
Step-by-step explanation:
1 2/3 = 5/3
5/3 * 12/1 = 60/3
60/3 = 20
What is the difference/ ratio of the numbers 6.25, 25, 100, 400,
7-3 Multiplying Binomials
Write a polynomial in standard form for the volume of the rectangular prism shown.
5x+1
3x - 4
X+2
Answer:
Step-by-step explanation:
Use FOIL method.First multiply (5x + 1) and (3x - 4). Then multiply (15x² - 17x - 4) by (x +2)
Volume of the rectangular prism = length *width * height
= (5x + 1) (3x -4)(x +2)
= [ 5x*3x + 5x*(-4) + 1*3x + 1*(-4) ] (x + 2)
= [15x² - 20x + 3x - 4] (x +2) {Combine like terms}
= [15x² - 17x - 4] (x + 2)
=[15x² -17x - 4]*(x) + [15x² - 17x -4]*2
= [15x²*x - 17x*x - 4*x ]+ 15x²*2 - 17x *2 - 4*2
= 15x³ - 17x² - 4x + 30x² - 34x - 8
= 15x³ - 17x² + 30x² - 4x - 34x - 8 {Combine like terms}
= 15x³ + 13x² - 38x - 8
I'll try to give Brainlyest please help!!
Answer:
D. 2r = 16
Step-by-step explanation:
r/2 = 16, r=32
8= r/8, r=64
4r=16, r=4
2r=16
/2 /2
r=8
What is the radius of a hemisphere with a volume of 757 cm", to the nearest tenth of
a centimeter?
Answer:
r = 7.1 cm
Step-by-step explanation:
Given the following data;
Volume of hemisphere = 757 cm³
To find the radius of the hemisphere;
Mathematically, the volume of a hemisphere is given by the formula;
Volume of hemisphere = ⅔πr³
Where, r is the radius of the hemisphere.
π = 22/7
Substituting into the formula, we have;
757 = ⅔πr³
Cross-multiplying, we have;
757 * 3 = 2πr³
2271 = 2*22/7*r³
2271 = 44/7*r³
Cross-multiplying, we have;
2271 * 7 = 44r³
15897 = 44r³
r³ = 15897/44
r³ = 361.30
Taking the cube root of both sides, we have;
r = 7.1223
To the nearest tenth of a centimeter;
r = 7.1 cm
hi!
which equation is graphed here?
Answer:
The equation would be y = -3/2x - 1
Step-by-step explanation:
The slope is -3/2 and the y-intercept is -1.
Let f(x)=3(12)x+1. Which is equal to f(1)?
Answer:
just substitute the value of x as 1
f(x)=3(12)x+1
f(1)=3(12)(1)+1
f(1)=3(12)(1)+1
f(1)=36+1
f(1)=37
50 points) please help! no links, brainliest, extra points.
I understand if you need points, you can go to my old questions and answer them for points, please only answer if your 100% sure you're correct. I've redone this over 20 times, asked over 50, and failed all those times. thank uu.
Any non-integer answers in this problem should be entered as decimals rounded to the tenth.
Duncan surveyed 10 people to see how many hours per week they exercise. The results are listed below.
18, 13, 20, 14, 12, 6, 11, 5, 15, 10
Use the data set to complete the sentences.
The interquartile range of the data set is _____.
The mean absolute deviation of the data set is _____.
Step-by-step explanation:
interquartile range = 5
.
The mean absolute deviation = 3.6
.
hope this gonna help !
Answer:
range = 15
IQR= 5
mean absolute deviation = 3.6
1st quartile = 10
median= 12.5
3rd quartile = 15
a student needs to fill a 12 gallon fish tank. The student has a container that holds 1/3 gallon of water. how many times will the student need to fill the container with water in order to fill the fish tank completely
And 50% what is the answer please help no links no links
PLEASE HELP !! ILL GIVE BRAINLIEST !! Ohh
Answer: Angle VUW and QRP are alternate exterior angles.
They are both exterior and are on alternate sides of the transversal.
Hope this helps!
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
-8x+8=-6x+20 and x= -6
Step-by-step explanation:
Reason to equation:
This image shows alternative interior angles.
Alternative interior angles are congruent to each other.
How to find x:
-8x+8=-6x+20
We subtract 8 from both sides
-8x=-6x+12
We add 6x to both sides
-2x=12
We divided -2 from both sides
-2x/-2x = 12/2
Leaving us with x=-6
Can someone please help
Answer:
The answer is 12 times
Step-by-step explanation:
6 x 12 = 72
112 - 72 = 40
40/5 = 8
12 + 8 = 20 times
so the answer is 12 ;)
Tracy is trying to justify a step in her paragraph proof. What is the property that she should use?
ABAB
1)Transitive Property of
Congruence
2)Symmetric Property of
Congruence
3)Reflexive Property of Congruence
4)Equality of Congruence Property
Answer:
The reflexive property of congruence
Step-by-step explanation:
This property says that an object is congruent to itself.
factor by grouping 20i^3-25i^2+4i-5
7. Logan can type 45 words in 2 minutes. Ebony can type 22 words in 45 seconds. Who
types slower?
Answer:
Ebony can type faster at 58.6 words per 2 minutes
Step-by-step explanation:
BRAINLIESTT!!
13POINTS
A construction crew built 1/2 miles of road in 1/4 days.
What is the unit rate in miles per day?
Write your answer in simplest form.
Answer:
2
Step-by-step explanation:
1/2 x 4 = 2
No problem :) remember to give me brainliest :0
Answer:
2 miles per day
Step-by-step explanation:
First make sure they both have a common denominator.
1/2=2/4miles per 1/4 of a day
You multiply both by 4.
This gives you a ratio of 2:1
2 miles per day
The following 5 questions are based on this information: An economist claims that average weekly food expenditure of households in City 1 is more than that of households in City 2. She surveys 35 households in City 1 and obtains an average weekly food expenditure of $164. A sample of 30 households in City 2 yields an average weekly expenditure of $159. Historical data reveals that the population standard deviation for City 1 and City 2 are $12.50 and $9.25, respectively.
Required:
At the 5% significance level, is the economist claim supported by the data?
Answer:
>> Null hypothesis; H0: μ1 - μ2 ≥ 0
Null hypothesis; Ha: μ1 - μ2 < 0
>> z = 1.85
>> p-value = 0.03
>> there is evidence sufficient to reject the claim that average weekly food expenditure of households in City 1 is more than that of households in City 2.
The economist claim is not supported by data.
Step-by-step explanation:
We are given;
Sample mean of city 1; x1¯ = 164
Sample mean of city 2; x2¯ = 159
Sample size of city 1; n1 = 35
Sample size of city 2; n2 = 30
Standard deviation of city 1; σ1 = 12.5
Standard deviation of city 2; σ2 = 9.25
Let's define the hypotheses;
Null hypothesis; H0: μ1 - μ2 ≥ 0
Null hypothesis; Ha: μ1 - μ2 < 0
Test statistic which is the z-score Formula between 2 mean is;
z = ((x1¯ - x2¯) - 0)/√((σ1)²/n1) + ((σ2)²/n2))
z = (164 - 159 - 0)/√((12.5²/35) + (9.25²/30))
z = 5/2.705
z = 1.85
From online p-value from z-score calculator attached, using z = 1.85, one tailed, significance value of 0.05, we have;
p-value = 0.03
The p-value is less than the significance value, and so we will reject the null hypothesis and conclude that there is evidence sufficient to reject the claim that average weekly food expenditure of households in City 1 is more than that of households in City 2.
Transformations of Functions (A1)
The graph of y=f(x) is the solid black graph below. Which function represents the dotted graph?
A: y=−f(x+1)
B: y=−f(x−1)
C: y=−f(x)+1
D: y=−f(x)−1
Answer:
i think the answer is B, good luck
Answer:
c i do believe good luck with the answer
please help me i will mark brainliest! :D
Answer:
19.50
Step-by-step explanation:
If the scarf is 25% off, you have to pay 100% -25% = 75%
26 *75%
26 *.75
19.5
James wanted to fence in his backyard for his dog Remi. The yard has a length of 12 feet and a width of 4 feet. What is the area and perimeter of the fenced yard?
A= P =
Answer:
The area of the fenced yard is 48 feet sq. and the perimeter is 32 feet.
Step-by-step explanation:
I hope this helps! Have a great rest of your day!