Answer:
#1
Area of triangle backdrop:
A = 1/2bh = 1/2(10.5)(8.5) = 44.63 m²Area of the cloth:
A = 4.5*4 = 18 m²Uncovered area:
44.63 - 18 = 26.63 m²Choice A
#2
Area of the cut piece:
A = πr² = 3.14*7.6² = 181.37 cm²Area of the square piece:
A= a² = 34² = 1156 cm²Remaining piece is:
1156 - 181.37 = 974.63 cm²Choice B
A family is canoeing downstream (with the current). Their speed relative to the banks of the river averages 2.75 mi/h. During the return trip, they paddle upstream (against the current), averaging 1.5 mi/h relative to the riverbank. Write and solve a system of equations to find the family’s paddling speed in still water. Let s equal the families paddling speed and c represent the current
a.
s + c = 2.75
s - c = 1.5
2.125 mi/h
c.
s + c = 2.75
c - s = 1.5
.60 mi/h
b.
2.75s = c
1.5s = c
1.725 mi/h
d.
2.75c = s
1.5c = s
30 mi/h
On solving the provided question, we can say that In still water, a family must paddle at a speed of 2.125 miles per hour.
What is speed?Speed is the amount of distance traveled by an object in one unit of time when it is in motion.
Given that, a family is paddling a boat (with the current). Their average speed in relation to the riverbanks is 2.75 miles per hour. On the way back, they paddle upstream (against the current), moving toward the riverbank at an average speed of 1.5 miles per hour.
Here, Let the family's speed on still water be x and the current's speed be y. Upstream speed is calculated using the formula 1.5 = x - y - - - - (1)
2.75 downstream speed = x + y - - - - (1)
Equations 1 and 2 are solved as follows: 2x = 4.25 and x = 2.125 miles per hour In still water, a family must paddle at a speed of 2.125 miles per hour.
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I really need this for a test
How do I get the width and area
What's the sum of 3 3/8 and 4 3/4? A.9 1/4 B. 8 3/4 C. 7 3/4 D. 8 1/8
Answer:
D
Step-by-step explanation:
3[tex]\frac{3}{8}[/tex] + 4[tex]\frac{3}{4}[/tex] Use the common denominator of 8 Multiply [tex]\frac{3}{4}[/tex] x [tex]\frac{2}{2}[/tex]
3[tex]\frac{3}{8}[/tex] + 4[tex]\frac{6}{8}[/tex]
7[tex]\frac{9}{8}[/tex]
7 + [tex]\frac{8}{8}[/tex] + [tex]\frac{1}{8}[/tex] Another name for [tex]\frac{8}{8}[/tex] is 1
7 + 1 + [tex]\frac{1}{8}[/tex]
8[tex]\frac{1}{8}[/tex]
Simplify the following expression: -16 -8/2 + 25 ÷ 5 + 1
A. -18
B. 6
C. 10
D. -6
Н
НОН
HHH
HHH
H
Но-н
нЩн
нон
HHH
HHH
HHH
What best describes these three molecules?
O They are not isomers.
O They are structural isomers.
O They are geometric isomers.
They are both structural and geometric isomers.
Answer:
Its B they are structural isomers
Step-by-step explanation:
Answer:
B) They are structural isomers.
Step-by-step explanation:
Got it right on Edge :D
A paint store makes lime green paint by mixing 3 parts yellow paint to 1 part blue paint. A clerk mixès 5 parts yellow paint to 2 parts blue paint. did the clerk use the correct ratio of yellow paint to blue paint? Explain.
Answer:
No
Step-by-step explanation:
The ratio used should have been 6 parts yellow paint to 2 parts blue paint
hope this helps
Glenn bought a $7 coffee and 10 granola bars at the airport. If he spent a total of $24, how much did each granola bar cost?
Answer:
1.7$
Step-by-step explanation:
To solve this, first subtract the coffee from the total cost, and then divide the cost by the amount of granola bars.
So first, subtract 7$ from 24(the coffee from the total cost):
24-7
=
17
Next divide the 17$ by the 10 granola bars:
17/10
=
1.7
So we know that the answer is each granola bar cost 1.7$
Hope this helps!
You may need to use the appropriate technology to answer this question. A survey was conducted to determine whether hours of sleep per night are independent of age. A sample of individuals was asked to indicate the number of hours of sleep per night with categorical options: fewer than 6 hours, 6 to 6.9 hours, 7 to 7.9 hours, and 8 hours or more. Later in the survey, the individuals were asked to indicate their age with categorical options: age 39 or younger and age 40 or older. Sample data follow. Hours of Sleep Age Group 39 or younger 40 or older Fewer than 6 36 34 6 to 6.9 60 57 7 to 7.9 79 77 8 or more 65 92 (a) Conduct a test of independence to determine whether hours of sleep are independent of age. State the null and alternative hypotheses. H0: Hours of sleep per night is independent of age. Ha: Hours of sleep per night is not independent of age. H0: The proportion of people who get 8 or more hours of sleep per night is not equal across the two age groups. Ha: The proportion of people who get 8 or more hours of sleep per night is equal across the two age groups. H0: Hours of sleep per night is not independent of age. Ha: Hours of sleep per night is independent of age. H0: Hours of sleep per night is mutually exclusive from age. Ha: Hours of sleep per night is not mutually exclusive from age. Correct: Your answer is correct. Find the value of the test statistic. (Round your answer to three decimal places.) What is the p-value
Answer:
1) The null and alternative hypotheses.
H0: Hours of sleep per night is independent of age.
Ha: Hours of sleep per night is not independent of age.
Test Statistics χ²=4.009
The corresponding p-value for the test at χ²= 4.009 is 0.2604
Step-by-step explanation:
1) The null and alternative hypotheses.
H0: Hours of sleep per night is independent of age.
Ha: Hours of sleep per night is not independent of age.
2) The data is
≤ 39 ≥ 40 Total
6 hours 36 34 70
6.9-7 hours 60 57 117
7- 7.9 hours 79 77 156
8 hours or more 65 92 157
Total 240 260 500
3) The expected values are computed as follows
260×70/500=36.4
240×117/500 =56.16
260×117/500 =60.84
240×156/500 =74.88
260×156/500 =81.12
240×157/500=75.36
260×157/500 =81.64
4) The squared distances are calculated as
{(36 - 33.6)^2}/{ 33.6} = 0.171
{(34 - 36.4)^2}{ 36.4} = 0.158
{(60 - 56.16)^2}/{ 56.16} = 0.263
{(57 - 60.84)^2}/{ 60.84} = 0.242
{(79 - 74.88)^2}/{ 74.88} = 0.227
{(77 - 81.12)^2}/{ 81.12} = 0.209
{(65 - 75.36)^2}/{ 75.36} = 1.424
{(92 - 81.64)^2}{ 81.64} = 1.315
5) The significance level is set at α=0.05 for df = (4 - 1) (2 - 1) =3
degrees of freedom.
6) The critical region for this test is χ² = χ² >7.815
7) Test Statistics
χ²=i=∑(O ij −Eij )2/Eij
=0.171+0.263+0.227+1.424+0.158+0.242+0.209+1.315
= 4.009
8) Conclusion
As the calculated value χ² =4.009 does not lie in the critical region ≤χ² =7.815, null hypothesis is not rejected.
Therefore, we conclude that there is not enough evidence to accept the alternate hypothesis , at the α=0.05 significance level.
The p-value for the test at χ²= 4.009 is 0.2604
2. What are the domain and range for the exponential parent function,
where b is a positive real number not equal to 1 and a > 0?
On solving the provided question, we can say that - the value of the given polynomials domain will be ( - infinity, 0)
what is domain?The range of values a function may accept is referred to as its domain. These numbers represent the x-values of a function like f. (x). The range of values that a function may operate on is referred to as its domain. The value that the function returns following the insertion of the x value is this set. A function containing the independent variable x and the dependent variable y is said to be y = f(x). A value of x is said to be in the domain of a function f if it can be used to successfully create a single value y utilizing the value of x for that purpose.
domain will be ( - infinity, 0)
range = (-infinity, +infinity)
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how many full cases and additional items are needed to fulfill the order 50 items ordered 12 items per case
Answer: Your answer is 60 divided by 13 = 4.165.
Step-by-step explanation: You would have to divide 12 out of 50, and that would be a decimal of 4.166666666666667 So you need an aditional 10 items but then another additional suitcase there is an answer to this but it would come out as a decimal or fraction, so you would have to specify what type of object is going into these suitcases, most people would just deal with it and carry it in the hands lol.
Which of the following are reasons why a bank may establish a multinational operation?
Answer:
multinational banking operations help a bank prevent the erosion of its traveler's check, tourist, and foreign business markets from foreign bank competition.
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Every day, Eve runs 12 mile more than the day before. Which equation can be used to discover how many miles Eve runs on x days?
y=x+12y is equal to x plus 1 half
y=12xy is equal to 1 half x
y=5xy is equal to 5 x
y=5+xy is equal to 5 plus x
Answer:
B) y=1/2x
Step-by-step explanation:
y=1/2x
Solve the following equation for aa. Be sure to take into account whether a letter is capitalized or not.
2n= a(d+g)
The solution to the equation is given as [tex]a = \frac{2n}{(d + g)}[/tex]
How to solve for a in the equationThe equation is given as 2n= a(d+g), we are to make a the subject of the equation
in order to have a stand on its own we would have to divide the two sides of the equation by d + g
hence we would have:
[tex]\frac{2n}{(d + g)} =\frac{a(d+g)}{(d+g)}[/tex]
this would cancel out on the right hand side such that we would have:
[tex]\frac{2n}{(d + g)} =a[/tex]
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A Child wants to reach the cookies on the top shelf of the kitchen. The shelf is 1.5 m high. The cookie jar has a mass of 0.75 kg. what is the potential energy of the cookie jar before it is taken from the shelf?
Answer:
11.0325 J
Step-by-step explanation:
The formula for calculating Potential Energy is:
P.E. = mass * acceleration due to gravity * height
where mass is in kg
acceleration due to gravity is a constant at the surface of the earth = 9.8 m/sec^2
and height is in meters
Here:
P.E. = 0.75 kg * 9.8 meters/sec^2 * 1.5 meters
P.E. = 11.0325 kg*m^2/sec^2
Now kg*m^2/sec^2 = joules
so the answer is 11.0325 joules
The required potential energy of the jar is 11.0325 joules.
What is potential energy?Potential energy is a form of stored energy that is dependent on the relationship between different system components. When a spring is compressed or stretched, its potential energy increases.
Given that,
The height of self h = 1.5 m.
The mass of cookie jar m = 0.75 kg.
To find the potential energy of jar,
Use formula of Potential Energy
Potential Energy = m × g × h
where m = mass is in kg
Ang g is gravity.
And the value of g at the surface of the earth = 9.8 m/sec²
and height is in meters
Substitute the values here,
Potential energy = 0.75 kg * 9.8 meters/sec² * 1.5 meters
Potential energy = 11.0325 kg x m²/sec²
Since, kg x m²/sec² = joules
Potential energy = 11.0325 joules.
Hence the required answer is 11.0325 joules.
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If some one makes and many slices of toast of toast as possible in 4 minutes and 40 seconds how many slices they can make?
Therefore , the solution of the given problem of expression comes out to be probably 4 slices.
Who or what is expression?In mathematics, it is possible can multiply, division, add, or remove. The construction of an expression is as follows: Expression, number, and mathematical operator Numbers, variables, and functions are the building blocks of a mathematical expression. Expressions and phrases can be contrasted.
Here,
you figure if a toaster takes about 1-2 minutes to toast a piece of bread and a toaster usually can fit 2 slices at a time i would say 4.
Preheat oven broil to high. Move oven rack to highest position.
Place sliced bread on an ungreased baking sheet. 4 slices of bread.
Broil bread for 1 minute, or until golden brown, then flip and broil for another 20-30 seconds. ...
Top with butter, jam, or any other favorite topping!
The temperature needed for the hot ambient air in a toaster, which makes the bread turn brown, is around 310°F (146°C). The heating element inside a toaster is a nickel-chromium alloy. The electrical current that runs through it heats it to make it red hot, with a temperature of 1,100°F to 1,200°F (519°C to 566°C).
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Consider the composite function g(f(x)) =x√6.
If f(x) = 3x², what is g(x)?
O g(x)=√2x
Og(x)=√x+3
Og(x)=√6x
O g(x)=√9-x
So on solving the provided question, we can say that the function g(x) is equal to g(x) = [tex]\sqrt{2x}[/tex]
A composite function is what?The mathematical procedure known as "function composition" takes two functions, f and g, and creates a function, h = g f, such that h(x) = g. This process involves applying the function g to the outcome of applying the function f to x. When the result of one function is utilized as the input for another, this is known as a composite function. The function f g (x) fg(x) fg(x) fg(x), also known as "f of g of x" or "f g fg fg of x," is the composition of the two functions if we have a function f and another function g.
f(f(x)) = [tex]\frac{x}{\sqrt{6} }[/tex]
f(x) = 3x^2
g(f(x)) = [tex]\frac{3x^2}{\sqrt{6} }[/tex]
g(x) = [tex]\sqrt{2x}[/tex]
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Find the measure of the missing angle
Help pls
Answer:
the answer is 51
Step-by-step explanation:
a triangle has 180 degree in total
180-124=56
73+56+x= 180
x= 51
Answer:
51
Step-by-step explanation:
Let the angle be xSum of two interior angles=exterior angle➝x+73=124
➝x=124-73
➝x=51
am is paying off his eight-year, $15,360 loan in semiannual installments. The loan has an interest rate of 9.58%, compounded semiannually, and a service charge of $1,294.64. Once the loan has been fully paid off, what percentage of the total finance charge will the service charge be? Round all dollar values to the nearest cent.
a.
5.48%
b.
8.43%
c.
18.55%
d.
15.65%
Please select the best answer from the choices provided
A
B
C
D
The percentage of the total finance charge on the loan that the service charge will be is about 15.65%. Option D is correct.
D. 15.56%
What is a loan?A loan is an item borrowed for a charged amount, such as an amount borrowed to be repaid with a specified interest fee.
The compound interest formula for the semiannual interest rate is presented as follows;
A = P·[1 + R/n]^(n·t)
Where;
P = The initial amount borrowed on loan = $15,360
t = The interest rate on the loan = 9.58% = 0.0958
n = The number of periods in a year = 2 for semiannual interest rate
t = The duration of the loan = 8 years
The equal semi annual installment (ESI) formula is presented as follows;
[tex]ESI = P\times \dfrac{\dfrac{r}{2} \times\left(1 + \dfrac{r}{2} \right)^n }{\left(1+\dfrac{r}{2} \right)^n-1}[/tex]
Therefore;
ESI = 15360 × ((0.0958/2)×(1 + 0.0958/2)¹⁶)/((1 + 0.0958/2)¹⁶-1) ≈ 1396.16
The total amount Sam pays = 16 × 1396.16 ≈ 22338.6
The finance charge ≈ 22338.6 - 15360 = 6978.6
The percentage of the finance charge represented the service charge is therefore;
(1294.64/(6978.6 + 1294.64))×100 ≈ 15.65%
The percentage of the total finance charge represented by the service charge is therefore about 15.65%
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Your driveway is rectangular in shape and measures 18 feet wide and 29 feet long. Calculate the area of your driveway.
a.
261 square feet
c.
250 square feet
b.
522 square feet
d.
500 square feet
Answer:
522 square feet
Step-by-step explanation:
Area is the term used to define the amount of space taken up by a 2D shape or surface. We measure area in square units : cm² or m². Area is calculated by multiplying the length of a shape by its width, so you mutiply 18 by 29 and got 522
Answer:
522
Step-by-step explanation:
Area of a rectangle = width times length
The length in this case is 29 feet, and the width is 18 feet.
29 times 18 = 522 square feet
Find the GCF of the list of terms.
3x^2,6x^6 and -12x^3
Answer:
3x²
Step-by-step explanation:
3x²
They would all reduce to 1, 2x^4, and -4x
Consider these functions:
f(x) = x + 1
g(x)= 2/x
Answer:
its letter A.
[tex] \frac{2}{x + 1} [/tex]
150, 60, 24,...
Find the 9th term.
Please help will mark Brainly
Answer: 12
Step-by-step explanation: There are about 12 grams of carbohydrates in a 8 fluid ounce (240 mL) glass of whole milk. The amount of carbohydrates in milk can vary slightly depending on the type of milk you are drinking. For example, skim milk has slightly fewer carbohydrates (about 11 grams per 8 fluid ounces) than whole milk because the fat has been removed. On the other hand, milk that is high in fat, such as heavy cream, has even more carbohydrates (about 4 grams per fluid ounce).
There are 90 new houses being built in a neighborhood last month 2/5
of them were sold this month 1/3 of the remaining houses were sold.How many houses are left to be sold?
The number of houses left to be sold is 12
How to calculate the number of houses left to be sold?There are 90 new houses built in the neighbourhood
2/5 were sold last month
2/5 × 90
= 18 × 2
= 36
1/3 of the remaining were sold this month
1/3 × 36
=12
Hence there are 12 houses left to be sold
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a class is planning a field trip to the aquarium. The cost of a ticket is $25.95. With the cost of transportation, each student will pay $36.00 to go on the field trip. Jay wants to know how much he will pay for transportation. Which equation will help jay find the cost of transportation,t?
Answer:
25.95 + 36
Step-by-step explanation:
You don't have any options so the answer I would say is 25.95 + 36, or the other way around.
Hope this helped :]
At a certain restaurant, the distribution of wait times between ordering a meal and receiving the meal has mean 11.4 minutes and standard deviation 2.6 minutes. The restaurant manager wants to find the probability that the mean wait time will be greater than 12.0 minutes for a random sample of 84 customers. Assuming the wait times among customers are independent, what describes the sampling distribution of the sample mean wait time for random samples of size 84?
Using the Central Limit Theorem, the sampling distribution of the sample mean wait time for random samples of size 84 has mean of 11.4 minutes and standard deviation of 0.28 minutes.
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
In this problem, the population has:
Mean of 11.4 minutes, thus [tex]\mu = 11.4[/tex].Standard deviation of 2.6 minutes, thus [tex]\sigma = 2.6[/tex]Samples of 84 are taken, thus, by the Central Limit Theorem:
[tex]n = 84, s = \frac{2.6}{\sqrt{84}} = 0.28[/tex]
The sampling distribution of the sample mean wait time for random samples of size 84 has mean of 11.4 minutes and standard deviation of 0.28 minutes.
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If a basketball has a diameter of 9.4 inches, which is closest to the volume of the ball in cubic inches?
A. 521.62 in
B. 434.89 in
Answer:
B. 434.89
Step-by-step explanation:
A basketball is a sphere and the volume formula is:
V = 4/3πr³
Given:
d = 9.4
r = 9.4/2
r = 4.7
Work:
V = 4/3πr³
V = 4/3π(4.7)³
V = 4/3π(103.823)
V = 434.89
- Complete the function table for f(x) = 3x + 2.
groce
x
-2
-1
0
1
opies of graph pap
The value of the function f(x) at x = - 2, - 1, 0, 1 are - 4, - 1, 2, 5.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
Given, A function f(x) = 3x + 2.
Now,
At x = - 2, f(x) = 3(-2) + 2 ⇒ f(x) = - 4.
At x = - 1, f(x) = 3(-1) + 2 ⇒ f(x) = - 1.
At x = 0, f(x) = 3(0) + 2 ⇒ f(x) = 2.
At x = 1, f(x) = 3(1) + 2 ⇒ f(x) = 5.
This can also be written in the form of ordered pairs
(- 2, - 4), (- 1, - 1), (0, 2), (1, 5).
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bruce purchased an 8 ounce can of dr. pepper, there are approximately 30 milliliters in an ounce, which measurement is closest to the amount of dr. pepper bruce purchased in milliliters?
A real estate developer wishes to study the relationship between the size of home a client will purchase (in square feet) and other variables. Possible independent variables include the family income, family size, whether there is a senior adult parent living with the family (1 for yes, 0 for no), and the total years of education beyond high school for the husband and wife. The sample information is reported below.
Family Square Feet Income (000s) Family Size Senior Parent Education
1 2,240 60.8 2 0 4
2 2,380 68.4 2 1 6
3 3,640 104.5 3 0 7
4 3,360 89.3 4 1 0
5 3,080 72.2 4 0 2
6 2,940 114 3 1 10
7 4,480 125.4 6 0 6
8 2,520 83.6 3 0 8
9 4,200 133 5 0 2
10 2,800 95 3 0 6
Develop an appropriate multiple regression equation. Which independent variables would you include in the final regression equation? Use the stepwise method.
Answer:=Answer1 has the regression analysis with all 4 independent variables. Using the stepwise method, we toss the one with the largest non-significant p-value which is Senior Present. Then do another regression analysis with only 3 independent variables. Answer2 has this. From this analysis we can toss education (has the largest non-significant p-value) and do another analysis which is in Answer3. In this analysis we see that Income is not quite significant (p=.0586) at the 0.05 level so we can toss it and do an analysis with Family Size as the only independent variable. This result is given in Answer4. The final regression equation has Family Size as the only independent variable and it can stay in the regression equation because it is statistically significant (p=.0003). The prediction equation is given at the bottom of Answer4. This should answer your question. If not let me know.
Step-by-step explanation:
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