Using translation concepts, the graph that represents [tex]y = \sqrt[3]{x} + 2[/tex] is given at the end of the question.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
[tex]y = \sqrt[3]{x} + 2[/tex] is a shift up of 2 units of [tex]y = \sqrt[3]{x}[/tex], hence the graph is given at the end of this question.
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Calculate the volume of each diagrams.
The volume of the solid objects are 612π in³ and 1566πcm³
Volume of solid objectThe given objects are composite figures consisting of two shapes.
The volume of the blue figure is expressed as;
Volume = Volume of cylinder + volume of hemisphere
Volume = πr²h + 2/3πr³
Volume = πr²(h + 2/3r)
Volume = π(6)²(13+2/3(6))
Volume = 36π(13 + 4)
Volume = 612π in³
For the other object
Volume = Volume of cylinder + volume of cone
Volume = πr²h + 1/3πr²h
Volume = π(9)²(15) + 1/3π(9)²(13)
Volume= 81π (15+13/3)
Volume= 1566πcm³
Hence the volume of the solid objects are 612π in³ and 1566πcm³
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What is the maximum probability of committing a Type I error that the researcher is willing to commit? a. Critical values b. p-value c. Level of Significance d. Confidence level
Answer: c. Level of Significance
This is the alpha value
alpha is a greek letter with the symbol [tex]\alpha[/tex]
A type 1 error is when the researcher rejects the null, but the null was true (meaning the researcher shouldn't have rejected the null).
f(x) = -3x+1
g(x) = 3x² + 4x - 15
Find: f(g(x))
To best show a possible linear trend in a scatter plot, draw a _________________.
A. regressive line
B. line of best fit
C. vertical line
D. horizontal line\
Answer:
b. line of best fit
im really not sure with my answer, please tell which is the correct choice.
Answer:
the orange one
Step-by-step explanation:
(10 + 10) : (5-3) =
20 : 2 =
10
I want to learn more about mean.
What is the mean?
Numbers:
4.5, 1, 9.25, 2, 6, 9.
Ice cream shop is open within the month of june,july and august The shop served 100 fewer customers than they did in july They served twice as many customers in august as they did in june In total they served 400 customers over these three months
The number of customers served in the ice cream shop in June, July and August are 125, 25 and 250 customers respectively
How to write and solve equation?let
June = xJuly = x - 100August = 2xTotal customers = 400Total = June + July + August
400 = x + (x- 100) + 2x
400 = x + x - 100 + 2x
400 = 4x - 100
400 + 100 = 4x
500 = 4x
x = 500/4
x = 125
So,
June = x
= 125 customers
July = x - 100
125 - 100
= 25 customers
August = 2x
= 2(125)
= 250 customers
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A city’s population has been growing linearly. In 2008, the population was 28,200. By 2012, the population was 36,800. Assuming this trend continues, which of the following is a linear function that properly models the relationship between the town's population, P, and the years that have passed since 2008, t.
The linear function that models the relationship is P = 28,200 + 1950t.
What is the linear function that models the relationship?A linear function is a function that has a single variable raised to the power of 1. An example is x + 2
The first step is to determine the rate of increase in the population:
Rate of increase = (population in 2012 - population in 2008) / number of years
(36.000 - 28,200) / 4 = 1950
P = 28,200 + 1950t
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-6>2x+6 ≤18
graph the inequality
Answer:
y= x + b
-6 > 2x+6- graph a doted line that crosses through -6, and 2 shade below the dotted line going to the negative
18 >< 2x+6 graph a solid line through 18 and 2 and shade everything above the line going positive
have a good day hope this helped
Step-by-step explanation:
translate the question into an equation. Do not solve. Let n be the unknown number. what is 1% of 77?
Answer:
1% × 77 = n
I used multiplication since "of" counts as multiplication.
On March 26, Samuel Griffin deposited $20,000 in a savings account that pays 5 5% interest compounded daily until July 24.
5 days in march.
31 days in May
30 days in June
24 days through July
rate of 5% each day.
so about 90 days of interest daily.
So 5% of 20,000
5 percent *20000
= (5/100)*20000
= (5*20000)/100
= 100000/100 = 1000
So 1,000 a day
1,000 * 90
= 90,000
question attached please help
Answer:
h(0.1) = 4.97
Step-by-step explanation:
See attached working :)
Remember that h(0.1) is the same as saying find what the equation is equal to when x = 0.1
Find the value of x. Round to the nearest tenth. X A B 68° 13 x = [?] X Law of Sines; sin A 83° C
Step-by-step explanation:
hope you have a great day
The value of x will be;
⇒ x = 13.9
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
The triangle is shown in figure.
Now,
Since, We know that;
The sine rule is;
⇒ sin A / a = sin B / b = sin C / c
By given figure, we get;
⇒ sin 83° / x = sin 68° / 13
⇒ sin 83° × 13 / sin 68° = x
⇒ x = 0.99 × 13 / 0.92
⇒ x = 13.9
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Gerald will be finishing his payments on his 5-year, $45,000 student loan and wants to know the amount of interest that he
paid over the course of the loan. The student loan has a 4.1% fixed interest rate that is compounded monthly. Calculate the
total amount of interest Gerald paid, rounding to the nearest cent.
Answer: 538
Step-by-step explanation: en verdad no sé pero eso fuelo que me salio
when a number x is added to it's square, the total is 12. find two possible values of x
Answer:
x=3 or x=−4Step-by-step explanation:
when a number x is added to it's square, the total is 12. find two possible values of x
x+x^2=12
x^2+x=12
x^2+x−12=12−12
x^2+x−12=0
(x−3)(x+4)=0
x−3=0 or x+4=0
x=3 or x=−4
x=3 or x=−4
the cost of a table is 5 times the chair what is the price of chair if the total is 1050
Answer:
the cost of the chair is 175.
Step-by-step explanation:
if the chair is x, the table will be 5x
now,
the equation formed will be,
5x+x = 1050
on solving,
6x= 1050
x= 1050÷6
x= 175
therefore, the cost of the chair will be x= 175.
and the cost of the table will be 5x= 5×175 = 875.
hope it helps!!PLEASE MARK BRAINLIEST ♡Does the equation xy + 6y = 9 define y as a function of x?
O Yes
O No
Answer:
no. a function doesnt contain an = sign
Step-by-step explanation:
Answer:
Yes, it is a function.
Explanation:
xy + 6y = 9
y(x + 6) = 9
y = 9/(x + 6)
It is a inverse variation function.
Where equation: xy = k ["k" is constant]
Each value of x corresponds to a single value of y.In ΔXYZ, x = 27 cm, y = 79 cm and ∠Z=142°. Find the length of z, to the nearest centimeter.
The value of side z will be equal to 99.32 cm.
What is trigonometry?The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle are termed trigonometry.
Given that:-
In ΔXYZ, x = 27 cm, y = 79 cm and ∠Z=142°
So by applying the formula given below:-
z² = x² + y² - 2xyCos(142)
z² = 79² + 27² - 2 ( 79 x 27 x Cos142 )
z = 99.32 cm
Hence the value of side z will be equal to 99.32 cm.
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Question 11 (1 point)
(03.06 MC)
Braden bought a piece of commercial real estate for $101,234. The value of the real estate appreciated at a constant rate per year. The table
shows the value of the real estate after the first and second years:
Year
1
12
Value (in dollars) $104,271.02 $107,399.15
Which function best represents the value of the real estate after t years?
O a
f(t) = 101,234(1.03)
Ob
f(t) = 101,234(0.03)
f(t) = 104,271.02(1.03)
f(t) = 104,271.02(0.03)
OC
Od
Question 12 (1 point)
Answer:
f(t) = 101,234
Step-by-step explanation:
Yesterday I ran less than 5 kilometers but more than 1200 meters. How far could I have run?
Does anyone know how to do this I’m really confused
The size of the unknown angle "x"
Solution:The given polygon is a Pentagon so the sum of interior angle will be,
[tex]\large\boxed{Formula: ( n − 2 ) × 180}[/tex]
n means the number of sides
Let's substitute the values according to the formula.
[tex](5-2)×180[/tex]
[tex]=540°[/tex]
Now, we can find the sum of one interior angle.
[tex]\large\boxed{\frac{sum \: of \: interior \: angles}{n}}[/tex]
n means the number of sides.
Let's substitute the values according to the formula.
[tex]x=\frac{540}{5}[/tex]
[tex]\large\boxed{x= 108°}[/tex]
Therefore, the size of the unknown angle "x" is 108°
The ratio of boys to girls is 3:2. f the class has 27 boys. How many pupils are in the class?
Answer:
the answer is 45
see the attachment photo!
Ms. Lui earned an annual income of 775,000, what is the weekly salary?
Answer:
$14,903.85
Step-by-step explanation:
So, Ms. Lui earns $775,000 each year. To find the weekly salary, we have to divide the annual income by the amount of weeks in a year. There are about 52 weeks in one year. Let's find the weekly salary:
[tex]\frac{775000}{52} = 14,903.85[/tex]
Therefore, Ms. Lui earns $14,903.85 a week.
Hope this helps! If you have questions about my work, please leave them in the comments!
Which of these is not represented by one of the letters in PITI?
OA. Title
O
B. Principal
о C. Insurance
O
D. Interest
The option not represented by one of the letters in PITI is (a) Title
How to determine the letter not represented?The acronym is give as:
PITI
The meaning of the above acronym is:
P -> PrincipalI ->InterestT -> TaxesI -> InsuranceFrom the list of given options, we can see that Title is not represented in the letters
Hence, the option not represented by one of the letters in PITI is (a) Title
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The option which is not represented by one of the letters in PITI is,
(a) Title
We have to given that,
The acronym is give as:
⇒ PITI
Since, We know that,
The full form of the above acronym PITI is:
P = Principal
I = Interest
T = Taxes
I = Insurance
Hence, From the list of given options, we can see that Title is not represented in the letters
Therefore, the option not represented by one of the letters in PITI is (a) Title
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what is the answer ???
Answer: Heyaa!~
- Write 63 as the product of prime factors -
Since, the prime factors of 63 are 3, 7. Therefore, the product of prime factors = 3 × 7 = 21.- Write the prime factors in ascending order -
I think it would be 3/7- what's the highest common factor of 63 and 105 -
21, divides both 63 and 105, i.e., 21.Hopefully this helps you! ^^^
Evaluate log 8 base 5
The answer is 1.29029.
Given : [tex]log_{5}8[/tex]To evaluate the given equation.Solution:[tex]log_{5}8=log(8)/log(5)[/tex]
As we know, [tex]log8=0.9030899[/tex] and [tex]log(5)=0.69897000[/tex]
So equating is the above equation, we get;
[tex]log_{5}8=0.9030899/0.6989700[/tex]
[tex]log_{5}8=1.292029[/tex]
Hence, The answer of [tex]log_{5}8[/tex] is [tex]1.29029[/tex].
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hello fellow indians Question: Lawrence poured 27.328 L of water into a right rectangular prism- shaped tank. The base of the tank is 40 cm by 28 cm. When he finished pouring the water, the tank was ⅔ full. ( 1L=1,000 cm 3).
Answer: andres is 5 years old pls banned him he called e a mean word like the N word
Step-by-step explanation:
Suppose a high school student is selected at random.Let event A = junior and event B = earbuds. Are events A and B independent
Answer:
yes
Step-by-step explanation:
independence means the object or so are completely unreliant of eachother or does not have order.
for example a dependent situation would be sports players getting picked because there is order.
The annual profits for a company are given in the following table, where x represents the number of years since 2014, and y represents the profit in thousands of dollars. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest tenth. Using this equation, estimate the calendar year in which the profits would reach 144 thousand dollars.
The linear regression equation that represents this data set is equal to y = 11.7x + 48.2 and an estimate of the calendar year is 2022.
How to write the linear regression equation?First of all, we would determine the slope of the given data set by using this formula:
[tex]Slope = \frac{\sum (x-\bar x)(y-\bar y)}{\sum (x-\bar x)^2}[/tex]
For the sample mean (years), we have:
∑x = 0 + 1 + 2 + 3
∑x = 6.
∑x² = 0² + 1² + 2² + 3²
∑x² = 14.
For the sample mean (profits), we have:
∑y = 46 + 57 + 84 + 76
∑y = 263.
∑xy = (0 × 46) + (1 × 57) + (2 × 84) + (3 × 76)
∑xy = 453.
Now, we can determine the slope:
[tex]Slope = \frac{4(453) - 6(263)}{4(14) - 6^2} \\\\Slope = \frac{234}{20}[/tex]
Slope, m = 11.7.
For the intercept, we have:
[tex]Intercept = \frac{14(263) - 6(453)}{4(14) - 6^2} \\\\Intercept = \frac{964}{20}[/tex]
Intercept, c = 48.2.
Therefore, the linear regression equation is given by:
y = 11.7x + 48.2.
Since the profit would reach 144,000 dollars, the calendar year would be calculated as follows:
144 = 11.7x + 48.2
11.7x = 144 - 48.2
11.7x = 95.8
x = 95.8/11.7
x = 8.2.
For the calendar year, we have:
Year = 2014 + 8.2
Year = 2022.2 ≈ 2022.
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Answer this for me please?
The volume of the rectangular prism is exactly (3/8) of a cubic inch.
How to get the volume of the rectangular prism?
Remember that for a rectangular prism of height H, length L, and width W, the volume is:
V = H*L*W
In this case, we have:
H = 1 inL = (3/4) inW = (1/2) in.Then the volume of the rectangular prism is given by:
[tex]V = (1 in)*(\frac{3}{4} in)*(\frac{1}{2} in)= \frac{3}{4*2} in^3 = \frac{3}{8} in^3[/tex]
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