Answer:
domain=5,12,3
range=0,4,-3
An architect’s scale model has been made for a new house. A scale of 1 cm represents 2.75 m was used. The model has a height of 4 cm, a length of 20cm and a width of 15 cm. Find the dimensions of the actual house.
A company rents water tanks shaped like cylinders. Each tank has a radius of 4 feet and a height of 2 feet. The cost is 5 dollars per cubic foot. How much does it cost to rent one water tank? Use 3.14 for pi , and do not round your answer.
One water tank can be rented for 160 dollars, according to the provided statement.
What are circumference and radius?The radius of a circular is the separation between its centre and perimeter. Always, the circumference is twice the radius.
The volume of the cylinder-shaped water tank is given by the formula
V = πr²h, where
r is the radius
h is the height.
Substituting the given values, we get:
V = π(4 feet)²(2 feet) = 32π cubic feet
The cost of renting the water tank is given by the product of the volume and the cost per cubic foot:
Cost = 5 dollars/cubic foot × 32π cubic feet
Multiplying these values, we get:
Cost = 160π dollars
Therefore, it costs 160π dollars to rent one water tank.
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How many different ways are there to get 10 heads in 20 throws of a true coin?
Let e be the line through A (-4,5) and B (3. t) that is perpendicular to the line through
P (1, 3) and Q(-4, 2). Find the value of t.
Let l be the line through A (4, -3) and B (t, -2) that is parallel to the line through
P(-2, 4) and Q (4, -1). Find the value of t.
Determine the signs of sino coso and tane if O is an angle in standard position and
P (2,-5) is a point on its terminal side.
Answer:
Step-by-step explanation:
product of slopes of perpendicular lines=-1
(t-5)/(3+4)×(2-3)/(-4-1)=-1
(t-5)/7×(-1/-5)=-1
(t-5)/35=-1
t-5=-1×35=-35
t=-35+5
t=-30
2.
slopes of parallel lines are equal.
(-2+3)/(t-4)=(-1-4)/(4+2)
1/(t-4)=-5/6
t-4=-6/5
t=4-6/5=(20-6)/5=14/5
3.
x>0,y<0
so P lies in4th quadrant.
except cos and sec all are negative.
so only cos and sec are positive.
Annie's squirt gun holds two tanks one tank holds 968 ML and the other tank holds 784 ML how many liters does the squirt gun hold in total
ayo
968ml + 784ml = 1752ml or 1.752Liter
Question 7 of 22
jeremiah and nevaeh each spent a total of $11 on packages of trail mix, x, and bottles of water, y, for a hike. the following system
of equations can be used to find the cost of each package of trail mix and each bottle of water.
jeremiah: 2x + 4y = 11
nevaeh: 3x +y=11
Olving the system of equations to find the cost of each item yields x=2 and y=3.
What is equation?An equation is a mathematical statement that two expressions are equal. It is written using an equals sign (=) and consists of two expressions, one on each side of the equals sign. Equations are used to solve for an unknown variable or to explain the relationship between different variables. Equations can also be used to describe physical phenomena, such as Newton's law of gravity, or to explain a set of data points.
Therefore, Jeremiah spent $2 on each package of trail mix and $3 on each bottle of water. Similarly, Nevaeh spent $2 on each package of trail mix and $3 on each bottle of water.
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which of the following was traditionally an assumption underlying the independent samples t-test question 10 options: a) scores must be drawn from a normally distributed population b) variances should be unequal in both groups c) data should be at the nominal level d)all of the above
The assumption underlying the independent samples t-test is that the scores must be drawn from a normally distributed population. Option A is correct.
What is a t-test?A t-test is a statistical method that determines whether two groups of observations are significantly different from one another. When comparing the means of two populations, the t-test is commonly used. The t-test is used to determine whether two groups' means are significantly different when the samples are drawn from normally distributed populations with equal variances.
The t-test is a powerful tool for determining whether a sample is significantly different from a population or whether two samples are significantly different from one another. The independent samples t-test, as opposed to the dependent samples t-test, is a t-test that compares the means of two independent groups. In this situation, the groups are separate and distinct.
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Apply the distributive property to create an equivalent expression.
6 (3c - 5d + 6)
Answer:
18c-30d+36
Step-by-step explanation:
distribute
Answer:
18c-30d+36
Step-by-step explanation:
A triangle has one angle with measure 15 degrees and another angle with measure 35 degrees. what is the measure of the third angle of the triangle, in degrees? a. 50 b. 70 c. 130 d. 30 e. 40
Option (c), A triangle has two angles, one that is 15 degrees and the other is 35 degrees. The measure of the third angle of the triangle, in degrees is 130.
Given, a triangle has one angle with measure 15 degrees and another angle with measure 35 degrees.
To find: The measure of the third angle of the triangle, in degrees.
The sum of all three angles of a triangle is 180 degrees.
Let's consider the measure of the third angle of the triangle be x.
Thus, sum of all three angles of a triangle
= 15+35+x
= 50 + x degree
Now, according to the property of a triangle, the sum of all three angles of a triangle is 180 degrees.
Thus, 50 + x = 180 degrees
Subtracting 50 from both the sides,
x = 180 - 50 = 130 degrees
Hence, the measure of the third angle of the triangle, in degrees is 130.
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determine whether the relation defines a function, and give the dominain and range.
Answer:
it is a function
Domain = (- infinity, infinity)
Range = (- infinity, 4]
Explanation:
For a function, a vertical line drawn through the graph must not touch it twice. Looking at the graph, a vertical line will not touch the curve twice. Thus, it is a function
The domain of a function is the set of all values of x that satisfies the function. On the graph, it is between the minimum value of x on the left and the maximum value of x on the right. Looking at the graph, it extends infinitely towards the left and right side. Thus,
Domain = (- infinity, infinity)
The range of a function is the set of all values of y that satisfies the function. On the graph, it is between the minimum value of y at the bottom and the maximum value of y at the top. Looking at the graph, it extends infinitely downwards and has a maximum value of 4 at the top. Thus,
Range = (- infinity, 4]
Hotel P offer two type of room for it cutomer: a Deluxe room and a Suite room. The price per night for the uite room for check-in on Sunday until Thurday i 70% higher than the price per night for a Deluxe room for the exact check-in period. The price per night for the Deluxe room for check-in on Friday and Saturday i 25% higher than for price per night for the Deluxe room for check-in on Sunday until Thurday. If the hotel management want to maintain the price difference between the two type of pace, and the price per night for a Suite room for check-in on Sunday until Thurday i $223, what hould be the price per night for a Suite room for check-in on Friday and Saturday?
The price per night for a Suite room for check-in on Friday and Saturday would be amount $278.50 .
The price per night for a Suite room for check-in on Friday and Saturday would be amount $278.50.
1. Calculate the price of a Deluxe room for check-in on Sunday until Thursday:
$223 / 1.70 = $131.18
2. Calculate the price of a Deluxe room for check-in on Friday and Saturday:
$131.18 x 1.25 = $163.98
3. Calculate the price of a Suite room for check-in on Friday and Saturday:
$163.98 x 1.70 = $278.50
The price per night for a Suite room for check-in on Friday and Saturday would be $278.50.
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40 fl oz = _ c 9 gal=__ qt
you want to determine what uniform color shirt is the most preferred among 7th grade students. You survey 6 random students in your art class. 4 choose red, so you conlude that red us the preferred color of shirt. is your conclusion valid. explain.
The conclusion that red is the preferred color of shirt among 7th grade students based on a survey of 6 random students in an art class is not necessarily valid due to the small sample size, sampling bias, and lack of generalizability.
How to determine if the conclusion is valid.The sample size of six pupils is tiny and may not be typical of the overall seventh-grade population. It's probable that the six students in the art class have different preferences or biases than the other seventh-grade students.
Also, the sample of six pupils is drawn at random from an art class rather than from the total 7th grade population. Students who are interested in art may have different preferences than students who are not. This can add bias into the sample.
Finally, the language of the survey question is critical. If the survey question specifically asks about the most chosen color of shirt among 7th grade kids in general, the conclusion that red is the most preferred color of shirt follows.
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Drag tiles to match each fraction, decimal, or percent to an equivalent number
What is the name of the line of reflection for the pair of figures? Enter your answer in the box.
Answer:
the line of symmetry. It's like a mirror.
Step-by-step explanation:
Jamila's cake recipe calls for 4 cups of flour.
She cuts the recipe in half. How much flour does es
she use?
Mackenzie built the small LEGO set. It cost $5.49.
Caleb built the large LEGO set.
How much do you think the large LEGO set cost?
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***What is the area of the circle when the circumference is 18pi? *
A. 18pi
B. 81pi
C.9pi
D.27pi
Answer:
Your answer should be choice B
At what rate percent per annum the sum of rupees 2400 amount to rupees 4147.20 compounded annually for 3 years?
Step-by-step explanation:
Given : Sum of rupees 2400 Amount to rupees 4147.20 compounded annually for 3 years.
To Find : Rate percent per annum, R
Solution:From the given statement :
Principal , P = ₹ 2400
Amount, A = ₹ 4147.20
Time period, n = 3 years
Using the formula,
A = P(1 + R/100)ⁿ
4147.20 = 2400 (1 + R/100)³
4147.20 / 2400 = (1 + R/100)³
172.8 / 100 = (1 + R/100)³
1.728 = (1 + R/100)³
(1 + R/100) = ³√1.728
1 + R/100 = 1.2
R/100 = 1.2 - 1
R/100 = 0.2
R = 0.2 × 100
R = 20 %
Rate percent per annum, R = 20%
Hence, the rate percent per annum is 20 %.
Question 4(Multiple Choice Worth 2 points)
(Comparing Data MC)
The data given represents the height of basketball players, in inches, on two different girls' teams.
Allstars
73 62 60
63 72 65
69 68 71
66 70 67
60 70 71
Super Stars
66 68 62
63 47 64
65 50 60
64 65 65
58 60 55
Compare the data and use the correct measure of center to determine which team typically has the tallest players. Explain your answer.
The Allstars, with a mean of about 67.1 inches
The Super Stars, with a mean of about 60.8 inches
The Allstars, with a median of 68 inches
The Super Stars, with a median of 63 inches
Answer:
The answer to your problem is, A. The Allstars, with a mean of about 67.1 inches
Step-by-step explanation:
Allstars mean height:
= (73 + 62 + 60 + 63 + 72 + 65 + 69 + 68 + 71 + 66 + 70 + 67 + 60 + 70 + 71) / 15
= 1007 / 15
= 67.6 inches
Super Stars mean height:
= (66 + 68 + 62 + 63 + 47 + 64 + 65 + 50 + 60 + 64 + 65 + 65 + 58 + 60 + 55) / 15
= 912 / 15
= 60.2 inches
We can see that the Allstars team has a higher mean height than the Super Stars team, with an average of 67.6 inches compared to 60.2 inches. Therefore, the Allstars team typically has the tallest players
Thus the answer to your problem is, A. The Allstars, with a mean of about 67.1 inches
9. Write the number in place value table of 820245
Answer:
Hello! The answer to your question will be below.
Step-by-step explanation:
Attached below....
Number form:820,245
Word form: eight hundred twenty thousand two hundred forty-five
Expanded form: 800,000+20,000+0+200+40+ 5
Place value chart below!!
Hope this helps! :)
⭐️Have a wonderful day!⭐️
plz help somebody plz
Andy spent the following amounts on lunches this week
Algebra is used to solve the mathematical problems, the total amount spent by Andy on lunches in this week is equals to $195.
Algebra is the branch of mathematics that use in the representation of problems or situations in the form of mathematical expressions. Mathematical ( arithmetic) operations say multiplication (×), division (÷), addition (+), and subtraction (−) are used to form a mathematical expression.
We have, a data of amount spent by Andy on lunches in a week. Let the total amount spent by him in this week be "x dollars". Using algebra of mathematics, we can written as x = sum of amounts spent by him in whole week so, x = $50 + $20 + $10 + $25 + $25 + $15 + $50 = $195
Hence, required total amount value is $195.
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Complete question:
Andy spent the following amounts on lunches this week,
day. amount
Sunday $50
Monday. $20
Tuesday $10
Wednesday $25
Thursday $25
Friday $15
Saturday $50
Calculate total amount he spent in this week.
Simplify and solve for x. 5(x + 8) = 9x + 8
Answer:
X = 8
Step-by-step explanation:
5(x + 8) = 9x + 8
multiply the left side to become:
5x + 40 = 9x + 8
move x's to one side and the other whole numbers to the other side:
40-8 = 9x - 5x
32 = 4x
Divide by 4 to both side so that x is by itself:
32/4 = x
8 = x
Answer:
x = 8
Step-by-step explanation:
1. Distribute the 5 among the x and 8 in the paraenthees
2. Subtract 8 from both sides (put together like terms to 40)
3. Subtract 5x from both sides (put together like terms)
4. Divide x (4x) by 32.
Hope this helps! :))))
The external radius of hollow right circular cylindrical pipe is 9cm and it's length is 14 cm. If the volume of metal used make the pipe is 748cm^3then find thickness of metal
The thickness of a hollow cylinder which is also the thickness of the metal is 1cm
How to calculate the Thickness of a hollow cylinder.To calculate the thickness of a hollow cylinder, subtract the inner and outer cylinder radii, r and R:
the thickness of the solid is:t = R - r
And if we are working with the diameter, we subtract the diameters and divide by 2VH = π × h(D² - d²)/4
where
Vh = Volume of hollow cylinder = 748cm
h = height of cylinder = 14cm
D = external diameter = 9 x 2 = 18cm
d = internal diameter = ??
The above statements can then be represented as:
4 x 748 = 22/7 x 14 (18² - d²)
Evaluate the products, quotients and exponents
68 = 324 - d²
So, we have
d² = 256
Take the square roots
d = 16 cm
From here we can get the thickness by subtracting the external and internal diameter and dividing by 2
thickness = (18 - 16)/2
thickness = 2/2
thickness = 1cm
So, the thickness is 1 cm
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people attend a party. Each person shakes hands with at most other people. What is the maximum possible number of handshakes, assuming that any two people can shake hands at most once
The maximum possible number of handshakes at the party can be calculated using the formula n(n-1)/2, where n is the number of people attending. This formula is derived from the fact that each person can shake hands with every other person except themselves.
Let's assume that there are n people attending the party. In order to maximize the number of handshakes, we want each person to shake hands with every other person except themselves.
Now, let's consider the first person. They can shake hands with (n-1) other people, as they cannot shake hands with themselves. Similarly, the second person can shake hands with (n-1) other people, but they have already shaken hands with the first person, so they can only shake hands with (n-1)-1 = (n-2) remaining people.
Following this pattern, the third person can shake hands with (n-1)-2 = (n-3) people, the fourth person can shake hands with (n-1)-3 = (n-4) people, and so on. The last person, the nth person, can shake hands with (n-1)-(n-2) = 1 person.
By summing up the number of handshakes for each person, we get (n-1) + (n-2) + (n-3) + ... + 1, which is the sum of the first (n-1) natural numbers. This sum can be calculated using the formula n(n-1)/2.
Therefore, the maximum possible number of handshakes at the party is n(n-1)/2.
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Construct a histogram to display for each given data set.
The data for the circumferences of the pumpkins in the Jeffiers' family pumpkin crop are 22.1, 35.6, 15.8, 36.9, 40.0, 28.5, 38.4, 20.4, 25.8, 34.1, 39.9, 42.2, 24.3, 22.7, 19.8, 27.9, 22.2, 34.3, 40.4, 20.6, 38.2, and 18.1. Use 10 sx < 20 as the first interval.
Answer:
See attachement
Step-by-step explanation:
The interval 0-20 on vertical axis will be skipped on paper graph and graph will start from 20.
Help aspp please thank you
The equation of the line would be y = (-3/4)x + 5.
What is the slope-point form of the line?
For the line having slope "m" and the point (x1, y1) the equation of the line passing through the point (x1, y1) having slope 'm' would be
y - y1 = m(x - x1)
The given equation is \(y=-\frac{3}{4}x-17\)
The required line is parallel to the given line.
and we know that the slopes of the parallel lines are equal so the slope of the required line would be m = -3/4
And the required line passes through (8, -1)
so by using slope - point form of the line,
y - (-1) = (-3/4)(x - 8)
y + 1 = (-3/4)x - (-3/4)8
y + 1 = (-3/4)x + 24/4
y = (-3/4)x + (12/2 - 1)
y = (-3/4)x + 5
Hence, the equation of the line would be y = (-3/4)x + 5.
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which of the following is equal to b^3/4 for all values
4√b^3
4√b^1/3
4√b^1/4
4√b^4
I hope this helps you ......
The correct expression that equals "\(b^{3/4}\)" for all values of "b" is 4√(\(b^{3}\)) (Option 1).
To find the correct expression that equals "\(b^{3/4}\)" from the given options. We'll break down each option and determine which one is equivalent to
"\(b^{3/4}\)" for all values of "b."
To find the correct expression equivalent to "\(b^{3/4}\)," we need to analyze each option:
1. 4√(\(b^{3}\)):
This option represents the fourth root of "\(b^{3}\)." In mathematical terms, it can be written as \(b^{3/4}\). Since the exponent (3/4) is the same as the exponent in "\(b^{3/4}\)," this option is the correct choice. It means that taking the fourth root of "\(b^{3}\)" is the same as raising "b" to the power of 3/4.
2. 4√(\(b^{1/3}\)):
This option represents the fourth root of "b" raised to the power of 1/3. Mathematically, it can be written as \(b^{1/3*1/4}\) = \(b^{1/12}\). However, "\(b^{1/12}\)" is not equal to "\(b^{3/4}\)" for all values of "b," as the exponents are different.
3. 4√(\(b^{1/4}\)):
This option represents the fourth root of "b" raised to the power of 1/4. Mathematically, it can be written as \(b^{1/4*1/4}\) = \(b^{1/16}\). Again, "\(b^{1/16}\)" is not equal to "\(b^{3/4}\)" for all values of "b," as the exponents do not match.
4. 4√(\(b^{4}\)):
This option represents the fourth root of "\(b^{4}\)," which can be written as \(b^{4/4}\) = \(b^{1}\) = b. It is evident that "b" is not equal to "\(b^{3/4}\)" for all values of "b."
To conclude, the correct expression that equals "\(b^{3/4}\)" for all values of "b" is 4√(\(b^{3}\)) (Option 1). Remember that taking the fourth root of "\(b^{3}\)" is the same as raising "b" to the power of 3/4, and this holds true for any value of "b."
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What is the output of the following function for x= 1?
F(x) = -x^3 - 2x^2+7 x-10
A.-5
B.6
C.0
D.-6
Answer:D.-6
Step-by-step explanation: -(1)^3-2(1)^2+7(1)-10
Answer:
D
Step-by-step explanation:
For an input of x = 1 , f(1) is the output.
Substitute x = 1 into f(x) , that is
f(1) = - 1³ - 2(1)² + 7(1) - 10 = - 1 - 2 + 7 - 10 = - 6 → D