Answer:
The equation is not true at x = -7.
Step-by-step explanation:
At x = -7 we'd have division by zero, which is not defined (not allowed).
need help-asap, will give person brainliest
Answer:
Step-by-step explanation:
Find the volume of the cone. Use 3.14 for pi. Round your answer to the nearest tenths
place.
The volume of the cone is approximately 37.7 cubic units
What is volume?
A volume is simply defined as the amount of space occupied by any three-dimensional solid. These solids can be a cube, a cuboid, a cone, a cylinder, or a sphere. Different shapes have different volumes.
To find the volume of a cone, we use the formula:
V = (1/3) * π * r² * h
where π is the constant pi, r is the radius of the base of the cone, and h is the height of the cone.
Plugging in the given values, we get:
V = (1/3) * 3.14 * 3² * 4 ≈ 37.7
Therefore, the volume of the cone is approximately 37.7 cubic units (rounded to the nearest tenth).
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pla shop mathematics
The number of trees more than 10m tall but not more than 20m tall is 18 trees.
How many of the trees are more than 10m tall but not more than 20m tall?0 < h ≤ 5 = 5
height greater than 0m less than or equal to 5m
5 < h ≤ 10 = 9
height greater than 5m less than or equal to 10m
10 < h ≤ 15 = 13
height greater than 10m less than or equal to 15m
15 < h ≤ 20 = 5
height greater than 15m less than or equal to 20m
20 < h ≤ 25 = 1
height greater than 20m less than or equal to 25m
The number of trees that are more than 10m tall but not more than 20m tall are;
10 < h ≤ 15 = 13
15 < h ≤ 20 = 5
So,
13 + 5 = 18 trees
Therefore, the total number of trees which are 10m tall but not more than 20m tall is 18 trees.
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HELP PLSSS....The table shows the result of spinning a color spinner (purple, blue, yellow, and green) in an experiment. PART A: Using the results in the table, what is the experimental probability of a spinner landing on purple (P) in Experiment A? Write your answer as a fraction and as a decimal.
Step-by-step explanation:
a probability is always the ratio
desired cases / totally possible cases
part A)
the table shows that in 10 attempts
Blue was hit 5 times
Yellow was hit 2 times
Green was hit 2 times
Purple was hit 1 time
so the experimental probabilities are
Blue 5/10 = 1/2 = 0.5
Yellow 2/10 = 1/5 = 0.2
Green 2/10 = 1/5 = 0.2
Purple 1/10 = 0.1
part B)
the theoretical probability of Purple with an equally spaced spinner of 4 colors is 1/4 = 0.25
A straight line is to a ruler as an angle is to: A. cosine B. two rulers C. protractor D. calculator
Answer:
Protractor
Step-by-step explanation:
You use a ruler to draw a straight line.
You use a protractor to draw an angle.
A straight line is to a ruler and an angle is to protractor.
What is a protractor?"A protractor is a simple measuring instrument that is used to measure angles. A common protractor is in the shape of a semicircle with an inner scale and an outer scale and with markings from 0 degrees and 180 degrees on it."
What is a ruler?"A math ruler is used to measure the length in both metric and customary units. The rulers are marked with standard distance in centimeters in the top and inches in the bottom and the intervals in the ruler are called hash marks."
A straight line is to a ruler and an angle is to protractor.
A protractor is a simple measuring instrument that is used to measure angles. A common protractor is in the shape of a semicircle with an inner scale and an outer scale and with markings from 0 degrees and 180 degrees on it.
Cosine is a trigonometric function that for an acute angle is the ratio between the leg adjacent to the angle when it is considered part of a right triangle and the hypotenuse.
A math ruler is used to measure the length in both metric and customary units. The rulers are marked with standard distance in centimeters in the top and inches in the bottom and the intervals in the ruler are called hash marks.
A calculator is a device that performs arithmetic operations on numbers. The simplest calculators can do only addition, subtraction, multiplication, and division.
Hence, A straight line is to a ruler and an angle is to protractor.
Option (C) is correct.
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HELP FAST PLEASE AND THANK U
Answer:
The answer is 1
Step-by-step explanation:
Plss help!!!!! Ty!
What is the area of this semicircle?
Answer:
\({\small{\boxed{\sf{\red{here's \: your \: solution...}}}}} \\ \\{\small{\boxed{\sf{\purple{area \: of \: semicircle \: =\pi \: r {}^{2} { \div 2} {} }}}}} \\ \\ \\{\small{\boxed{\sf{\purple{radius = 8cm }}}}} \\ \\ \\{\small{\boxed{\sf{\purple{area \: of \: semicircle \: =(22/7 \times 64) \div 2}}}}} \\ \\ \\{\small{\boxed{\sf{\purple{area \: of \: semicircle \: =100.57 \: cm {}^{2} }}}}}\)
\(\small\mathfrak\green{Hope \: it \: helps \: \: .......| }\)
A student states that a triangle can be formed with side lengths 3 in, 5 in, and 9 in. is the student correct? why, or why not? yes, because 3 5 < 9 yes, because 3 9 > 5 no, because 3 9 > 5 no, because 3 5 < 9
A student is not correct when he stated that a triangle can be formed with side lengths 3 in, 5 in, and 9 in because 3 + 5 < 9.
A triangle is a polygon with three sides and three vertices.
To know if a set of numbers is a valid measure of the sides of a triangle, it must follow the Triangle Inequality Theorem which states that the sum of any two sides must be greater than the third side, such that a + b > c, a + c > b, and b + c > a.
let a = 3, b = 5, and c = 9
a + b > c : 3 + 5 > 9 8 > 9 False
a + c > b : 3 + 9 > 5 12 > 5 True
b + c > a : 5 + 9 > 3 14 > 3 True
If at least one of these statements does not hold true, the measurements can't be the sides of a triangle.
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You are now on your way to college and need to make some money decisions. Your parents are going to help pay for some of your necessities but they want to know what you need. You are budgeting your money for textbooks and trying to decide how many hardback and paperback textbooks you can afford. Hardback books cost $45 and paperback books cost $20. You have $440 dollars to spend on textbooks. You know you need to buy 12 textbooks for the school year. Your task is to find out how many hardback and paperback textbooks you can buy.
You can buy 8 hardbacks and 4 paperback textbooks.
What is a Simultaneous Equation?This refers to two or more algebraic equations that have common variables and are resolved at the same time.
From the question:
Hardback books cost, H =$45
paperback books cost, P = $20.
The total amount to spend on textbooks = $440.
The total amount of textbooks needed for the school year is Hardback books+ paperback books= 12.
Solving Simultaneously we have:
H + P = 12 ..............(i)
45H + 20P = 440...........(ii)
Equation (i) * -20
-20H - 20P = -240............(iii)
Add Equation (iii) and Equation (ii)
45H + 20P = 440...........(ii)
+ -20H - 20P = -240............(iii)
We have:
25H = 200
H =200/25
H = 8
Substitute H = 8 into Equation (ii)
45(8) + 20P = 440...........(ii)
360 + 20P = 440
collecting like terms:
20P =440 - 360
20P = 80
Divide both sides by the coefficient of P
20P/20 =80/20
P= 4
Hence, You can buy 8 hardbacks and 4 paperback textbooks.
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HELP HELP HELP
(2^4x+4) / (2^x+1)
Answer:
\(2^{3x+3}\)
Step-by-step explanation:
to divide exponents with the same base you just subtract them
(4x+4)-(X+1)
4x+4-x-1
3x+3
Hopes this helps please mark brainliest
Answer:
frac{16x+4}{2^{x}+1 =
Step-by-step explanation:
Evaluate the exponent! hope this helped
12. Diameter,
A = 72Pie
(Circle)
Answer:
6.98
Step-by-step explanation:
I think that you are looking for the diameter and you are given the area of a circle.
a =\(\pi r^{2}\) You are given pi, so \(r^{2}\) = 72.
That means that r = \(\sqrt{72}\) or a rounded answer of 8.49 rounded to the hundreds place. The diameter is equal to 2 radius, so the diameter rounded is 16.98
In the year 2018, it was estimated that approximately 28,000 Floridians were homeless. A social worker estimates that 78% of these people were age 18 and up. In the distribution of ages of homeless Floridians, an 18 year old would be considered what percentile
At 22nd percentile in the distribution of ages of homeless Floridians, an 18 year old would be considered.
Given that 78% of the ages are greater than or equal to 18 years. Hence.
18 years will be (100 - 78)th percentile
i.e. 22nd percentile.
Historically, policymakers and practitioners at every level of government have focused special attention on specific subpopulations.
Decision-makers are often concerned about children and young people due to their vulnerability. People in families with children make up 30 percent of the homeless population. Unaccompanied youth (under age 25) account for six percent of the larger group.
Finally, due to their service to our country, veterans are often analyzed separately from the larger group. They represent only six percent of people experiencing homelessness.
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Using the figure above, what are the measures of the 3 angles in triangle DEF? PLS HURRY! THANKS
Answer:
F= 34 degrees (alternate angles are equal)
To find D
we first have to find the angles at AB
B =180- 165 (sum of angles on a straight line = 180°)
therefore B = 15°(we'll use this to find the angle at E)
A=34 (from the diagram)
so,
D = 180- (15 + 34) [sum of angles in a triangle = 180°]
D = 131°
E=15° (alternate angles are equal )
Step-by-step explanation:
there u go!
The sum of all the integers from 1000 and 10000 inclusive is y. Which expression represents the sum of all integer from 1003 to 10000 included?
Answer:
Step-by-step explanation:
What's missing from the original condition.
1000
1001
1002
=====
3003
So the answer is y - 3003
Sara left a bin outside in her garden to collect rainwater. she notices that 1 over 8 gallon of water fills 2 over 3 of the bin. write and solve an equation to find the amount of water that will fill the entire bin. show your work. explain your answer in words.
The amount of water that will fill the entire bin is 16/3 gallons.
Given: 1 over 8 gallon of water fills 2 over 3 of the bin.
Let's assume that the bin has a capacity of V gallons of water. Therefore, we need to find the amount of water that will fill the entire bin.
To write an equation, we know that: 1 over 8 gallon of water fills 2 over 3 of the bin.
Then, we can write the equation as: 1 over 8 V = 2 over 3V/8 = 2/3
Simplifying the above equation we get: V = (8 x 2) / (3 x 1) = 16 / 3 gallons
Hence, the amount of water that will fill the entire bin is 16/3 gallons.
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Graph
Y=3/4x - 1/2
Pleaseeeee help!!
what impact does multicollinearity have on the p-values on the slopes in a regression model?
It is important to check for multicollinearity in a regression model and take steps to reduce it, such as removing one of the highly correlated independent variables or using regularization techniques.
Multicollinearity is a statistical phenomenon where two or more independent variables in a regression model are highly correlated with each other. This can cause problems in the regression model as it becomes difficult to distinguish the individual effects of the independent variables on the dependent variable.
When multicollinearity is present in a regression model, the p-values of the slopes of the independent variables are affected. The p-value measures the probability of obtaining a result as extreme or more extreme than the observed result, assuming that the null hypothesis is true. The null hypothesis in a regression model is that the slope of the independent variable is zero, meaning that there is no relationship between the independent variable and the dependent variable.
Multicollinearity can cause the standard errors of the slopes to increase, leading to inflated p-values. In other words, the significance of the relationship between the independent variable and the dependent variable may be underestimated. This is because the highly correlated independent variables are both trying to explain the same variation in the dependent variable, leading to an unreliable estimate of the effect of each independent variable on the dependent variable.
Therefore, it is important to check for multicollinearity in a regression model and take steps to reduce it, such as removing one of the highly correlated independent variables or using regularization techniques. This can help to ensure that the regression model produces reliable estimates of the effects of the independent variables on the dependent variable.
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What is the constant of proportionality in the table below?
x 5 10 6 9 2
y 15 30 18 27 6
1/3
5
3
15
Answer:
1/3
Step-by-step explanation:
constant proportionality = x/y
x1/y1 , x2/y2 , x3/y3 , ....
5/15 , 10/30 , 6/18 , 9/27 , 2/6
= 1/3 , 1/3 , 1/3 , 1/3 , 1/3
since in all the cases x/y = 1/3 ,
Therefore, the contant proportionality in the given table is 1/3
Hope it's helpful..
Diana serves 8 kg of fried rice for 12 persons. How many persons can eat 20 kg of
fried rice?
Answer:
30 persons
Step-by-step explanation:
Let's create a proportion using the following setup:
persons/rice=persons/rice
We know that 12 persons can eat 8 kilograms of fried rice.
12 persons/ 8 kg of rice= persons/rice
We also know that x (unknown) persons can eat 20 kilograms of fried rice.
12 persons/ 8 kg of rice= x persons/ 20 kg of rice
12/8=x/20
x is being divided by 20. The inverse of division is multiplication. Multiply both sides of the equation by 20.
20(12/8)=(x/20)20
20*12/8=x
20*1.5=x
30=x
30 persons can eat 20 kilograms of fried rice.
Answer:
30 people
Step-by-step explanation:
1) Set up a proportion, 8kg/12 = 20kg/x
2) Do cross multiplication to solve for x
3) x = 30 people
Could you do this for me?
The expected number of times that the spinner will land on green is given as follows:
123.
How to calculate a probability?The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is then calculated as the division of the number of desired outcomes by the number of total outcomes.
From the table, the probability of drawing a green section is given as follows:
4/(16 + 17 + 4 + 15 + 13) = 4/65.
Hence the expected number of green out of 2000 is given as follows:
E(X) = 2000 x 4/65
E(X) = 123.
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17 apples and 12 oranges cost $10.44. 3 apples and 4 oranges cost $2.84. How much does 1 orange cost?
Answer:
0.48$
Step-by-step explanation:
Cost of 1 Apple = A
Cost of 1 Orange = O
Six apples and three oranges cost $3.36 equivalent to:
6A + 3O = 3.36 (1st equation).
Two apples and five oranges cost $3.04 equivalent to:
2A + 5O = 3.04 (2nd equation).
Now we have to solve the 2 equations with 2 uknowns (the cost of 1 Apple = A, and the cost of 1 Orange = O).
6A + 3O = 3.36 (Equation 1)
2A + 5O = 3.04 (Equation 2), multiplying this equation by 3 we get:
6A + 3O = 3.36 (Equation 1)
6A + 15O = 9.12 (Equation 2), Now equation 2 minus equation 1 we get:
6A-6A +15O -3O = 9.12-3.36 equivalent to:
12O = 5.76 => O = 5.76/12 = 0.48 ( the cost of one Orange is 0.48$)
Go back to equation 1 and solve for the cost of 1 apple:
6A + 3x0.48 = 3.36 =>
6A + 1.44 = 3.36 =>
6A = 1.92 =>
A = 1.92/6 = 0.32 ( the cost of one apple is 0.32$)
Summary: The cost of one apple is 0.32$ and the cost of one orange is 0.48$.
Can someone please help me ASAP?? It’s due today!! I will give brainliest If It’s correct.
The correct option that indicates how Christa sliced the rectangular pyramid is the second option.
Christa sliced the pyramid perpendicular to its base through two edges.
What is a rectangular pyramid?A rectangular pyramid is a pyramid with a rectangular base and four triangular faces.
The height of the cross section indicates that the location where Christa sliced the shape is lower than the apex of the pyramid.
The trapezoid shape of the cross section of the pyramid indicates that the top and base of the cross section are parallel, indicating that Christa sliced the pyramid parallel to a side of the base of the pyramid, such that it intersects two of the edges of the pyramid
The correct option is therefore the second option;
Christa sliced the pyramid perpendicular to its base through two edges
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At a nearby frozen yogurt shop, the mean cost of a pint of frozen yogurt is $1.50 with a standard deviation of $0.10.Assuming the data is normally distributed, approximately what percent of customers are willing to pay between $1.20 and $1.80 for a pint of frozen yogurt?
According to the question we have approximately 99.74 percent of customers are willing to pay between $1.20 and $1.80 for a pint of frozen yogurt.
To answer this question, we will use the normal distribution formula and z-score.
First, we need to find the z-score for the lower limit of $1.20:
z = (1.20 - 1.50) / 0.10 = -3
Next, we need to find the z-score for the upper limit of $1.80:
z = (1.80 - 1.50) / 0.10 = 3
Now, we can use a z-table to find the area under the curve between these two z-scores.
The area to the left of z = -3 is 0.0013, and the area to the left of z = 3 is 0.9987.
To find the area between these two z-scores, we subtract the area to the left of z = -3 from the area to the left of z = 3:
0.9987 - 0.0013 = 0.9974
Therefore, approximately 99.74% of customers are willing to pay between $1.20 and $1.80 for a pint of frozen yogurt.
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What is 2+4-52+2+5+7+4?
Answer: The answer is -28.
Step-by-step explanation: 2+4-52+2+5+7+4 = -28
Hope this helped :D
Answer:
The correct answer is -28
a^2y+a^3 for a=-1.5 and y = -8.5
Step-by-step explanation:
I think it will be 1.7
i am not sure
Sam is saving money to buy himself a new phone. He currently has $95. He is able to save about $20 a week. Let represent how much money he has saved, and the number of weeks that have passed since the current date. Choose the correct function rule.
a. s(w) = 95 + 20w
b. s(w) = 95w + 20
c. w(s) = 95s + 20
d. w(s) = 95 + 20s
Answer:
the correct answer is d
Step-by-step explanation:
w(s)=weeks saved and 20s is the gain of 20 dollars every week. and the 95 is the starting amount that sam had
Mr. A sold his land to Mr.B at a profit of 10%. Mr.B. sold it to Mr.C at a gain of 5%. Mr.C.paid N1240 more for the house than Mr. A paid. What did Mr. A paid.
Answer:
Mr. A initially paid approximately N8000 for the land.
Step-by-step explanation:
Step 1: Let's assume Mr. A initially purchased the land for a certain amount, which we'll call "x" in currency units.
Step 2: Mr. A sold the land to Mr. B at a profit of 10%. This means Mr. A sold the land for 110% of the amount he paid (1 + 10/100 = 1.10). Therefore, Mr. A received 1.10x currency units from Mr. B.
Step 3: Mr. B sold the land to Mr. C at a gain of 5%. This means Mr. B sold the land for 105% of the amount he paid (1 + 5/100 = 1.05). Therefore, Mr. B received 1.05 * (1.10x) currency units from Mr. C.
Step 4: According to the given information, Mr. C paid N1240 more for the land than Mr. A paid. This means the difference between what Mr. C paid and what Mr. A paid is N1240. So we have the equation: 1.05 * (1.10x) - x = N1240
Step 5: Simplifying the equation: 1.155x - x = N1240
Step 6: Solving for x: 0.155x = N1240
x = N1240 / 0.155
x ≈ N8000
Therefore, in conclusion, Mr. A initially paid approximately N8000 for the land.
Evaluate the expression, given functions f and h: f(x) = 3x − 2, h(x) = −2x2 + 3x − 6. f(7/3) - h(-2)
Answer:
The answer is 25Step-by-step explanation:
f(x) = 3x - 2
h(x) = - 2x² + 3x - 6
First to find f(7/3) substitute the value of x that's 7/3 into f (x)
That's
\(f( \frac{7}{3} ) = 3( \frac{7}{3} ) - 2 \\ = 7 - 2 \\ \\ f( \frac{7}{3} ) = 5 \: \ \: \: \: \: \: \: \: \: \: \: \: \)To find h(-2) substitute the value of x that's - 2 into h(x)
We have
\(h( - 2) = - 2 ({ - 2})^{2} + 3( - 2) - 6 \\ = - 2(4) - 6 - 6 \\ = - 8 - 12 \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ h( - 2) = - 20 \: \: \: \: \: \: \: \)So we have
\(f( \frac{7}{3} ) - h( - 2) = 5 - - 20 \\ = 5 + 20\)We have the final answer as
25Hope this helps you
Anita needs to construct ten cones for a class project. How many square feet of material will she need? Use 3.14 for π. Enter your answer in the box. The radius is 6 ft and the height is 12 ft.
The number of square feet of material she will need is 1,165.2 sq ft.
What are square feet?Multiply the length measurement in feet by the width measurement in feet to get square feet.
We are calculating the lateral surface area of Anita, assuming that she needs hollow right circular cones, which is provided by the formula r(h2+r2), where r is the radius and h is the height.
r = 6 ft / 2 = 3 ft
Solving for the lateral surface area of one cone:
LSA = (3.14) (3) [√(12²+3²)] = 116.52 sq ft.
Since she needs 10 cones:
10 x 116.52 sq. ft = 1,165.2 sq ft.
Thus, she will need 1,165.2 sq ft of material.
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Simplify the expression
using only positive exponents.
The expression is simplified to y⁹/12x². Option A
What are index forms?The index form of a number can be described as that number written as an exponential expression.
It is also seen as a single number that is raised to another number.
Other names for index forms are standard forms and scientific notation.
From the information given, we have that;
3x^⁻⁴y⁵/(2x³y⁻⁷)⁻²
expand the exponential bracket of the denominator by mutiplying the values
3x^⁻⁴y⁵/2x⁶y⁻¹⁴
Now, divide the expression into parts, we have;
3/-4 (x^⁻⁴y⁵/2x⁶y⁻¹⁴)
Since we are finding the quotient, subtract the exponents of the denominator from the numerators, we get;
3× -4(x⁻⁴⁺⁶y⁵⁻¹⁴)
Now, add or subtract the exponential values, we get;
-12(x⁻²y⁻⁹)
y⁹/12x²
Hence, the correct option is y⁹/12x²
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