Answers
Add the price of the trampoline and the sales tax
Related Questions
the instructions on the bag of concrete mix say to add 2 gallons of water to each 8 pound bag of concreate mix. how much concreate mix is used per gallon of water?
A. 2 pounds
B. 4 pounds
C. 6 pounds
D. 10 pounds
E. 16 pounds
Answers
What is the value of x in the equation below?
12 – 2(x-1)=6
Answers
You would distribute the -2 and Zoe 1 and 1*-2=-2
What is the domain? I need help on this problem
Answers
The domain of the function \(f(x) = \sqrt{\frac{1}{3}x + 2\) is (d) x ≥ -6
How to determine the domain of the functionFrom the question, we have the following parameters that can be used in our computation:
\(f(x) = \sqrt{\frac{1}{3}x + 2\)
Set the radicand greater than or equal to 0
So, we have
1/3x + 2 ≥ 0
Next, we have
1/3x ≥ -2
So, we have
x ≥ -6
Hence, the domain of the function is (d) x ≥ -6
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What is the value of the expression below? (4/5+3/5)+3.5x5
Answers
Answer:
18.9
Step-by-step explanation:
Start with parentheses.
4/5 + 3/5 = 7/5
Simplify 7/5, 7/5 = 1 2/5
Next numbers.
3.5 x 5 = 17.5
Add.
17.5 + 1 2/5 = 18.9
How many degrees counterclockwise about the origin is △STU rotated to produce △S'T'U'?
Answers
Answer:
180°
Step-by-step explanation:
We Know
Each square represents 90°
We see the △STU rotate counterclockwise about the origin through 2 squares. So, the △STU rotated 180° counterclockwise to produce △S'T'U.
We can check by using the rule rotate about the origin 180° state that:
(x , y) → (-x , -y)
Pick point U (-2,1)
(-2,1) → (2, -1)
This meet the rule, so rotate 180° is the correct answer.
Steps for 8 (-3d + 2) =88
Answers
Hi how u doin ?
\(8( - 3d + 2) = 88\)
Let's see what we got here ....
First of all Divide both sides by 8
\( \frac{8( - 3d + 2)}{8} = \frac{88}{8} \\ \)
Simplification
\( - 3d + 2 = 11\)
Subtract both sides 2
\( - 3d + 2 - 2 = 11 - 2\)
\( - 3d = 9\)
Divide both sides by - 3
\( \frac{ - 3d}{ - 3} = \frac{9}{ - 3} \\ \)
Simplification
\(d = - 3\)
And we're done...
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Aaliyah is making greeting cards, which she will sell by the box at an arts fair. She paid $22 for a booth at the fair, and the materials for each box of cards cost $8. She will sell the cards for $10 per box of cards. At some point, she will sell enough cards so that her sales cover her expenditures. How much will the sales and expenditures be? How many cards will that take?
Answers
Answer: She would need to sell 11 boxes of cards to turn a profit.
Step-by-step explanation: 10-8 = 2. 22/2 = 11
A solid metal spinning top is constructed by joining a hemispherical top to a cone-shaped base. The radius of both thehemisphere and the base of the cone is 3 cm. The volume of the cone is half that of the hemisphere. Find the following tothree significant figures:a. The volume of the hemispherical top = 56.5cm^3b. The height of the cone-shaped base = 3cm^2C. The outer surface area of the entire spinning top including all pieces
Answers
a) The volume of the hemisphere is 56.5 cm^3
b) The height of the cone is 3 cm
c) The outer surface area of the shape is 96.5 cm^2
HERE, we want to calculate the given measures
a) The volume of the hemispherical top
To calculate this, we use the formula for the volume of a hemisphere
Mathematically, we have this as follows;
\(V\text{ = }\frac{2}{3}\text{ }\times\text{ }\pi\text{ }\times r^3\)From the question, we have the radius of the hemisphere as 3cm
We have this as;
\(V\text{ =}\frac{2}{3}\times3.142\times3^3=56.5cm^3\)b) We want to calculate the height of the cone-shaped base
From the question, we are told that the volume of the cone is half that of the hemisphere;
The volume of the cone is thus;
\(V\text{ = }\frac{56.5}{2}=28.25cm^3\)Mathematically, we have the volume of a cone as follows;
\(V\text{ = }\frac{1}{3}\times\pi\text{ }\times r^2\times h\)Substitute the value of the volume and the value of the r so that we can get the height
We have this as;
\(\begin{gathered} 28.25\text{ = }\frac{1}{3}\text{ }\times\text{ 3.142 }\times3^2\text{ }\times\text{ h} \\ \\ h\text{ = }\frac{28.25}{3.142\text{ }\times\text{ 3}}\text{ = 2.997 which is 3 cm} \end{gathered}\)c) Here, we want to get the outer surface area of the spinning top and the pieces
Mathematically, we have that as the sum of the area of the hemisphere plus that of the cone
We have that as;
\(A\text{ = (2}\times\pi\times r^2)\text{ + }\pi rl\)Now, you will notice that we do not use the full area of the cone
This is because we have the hemisphere taking this up already and we only need the surface area of the hemisphere.
We do not find the area of the circular base of the cone
We also can notice the l term in the area of the cone
The l term stands for the slant height of the cone
The slant height can be calculated using the Pythagoras' theorem, with the base of the cone and its height serving as the other sides and the slant height serving as the hypotenuse. The Pytahgoras' theorem states that the square of the hypotenuse (slant height) equals the sum of the squares of the two other sides (base and height of the cone)
So, we have the slant height as;
\(\begin{gathered} l\text{ = }\sqrt[]{3^2+3^2} \\ l\text{ = }\sqrt[]{18} \\ l\text{ = 4.24 cm} \end{gathered}\)So applying these to the area formula we deduced above, we have;
\(\begin{gathered} \text{Area = (3.142 }\times2\times3^2)\text{ + (3.142}\times3\times4.24) \\ \text{Area = 96.5 cm}^2 \end{gathered}\)The top law firms in the world in terms of profit per equity partner and the gross revenue ($ millions) for the most recent fiscal year were analyzed. given this information, answer the question using the provided output.
a. what is the slope?
b. interpret the slope in the language of the problem.
c. what is the standard error of the estimate?
d. for a firm with a gross_revenue of $675 million, what is the predicted profit per equity partner (partners)? give answer to three decimal places.
Answers
a. The slope is 0.068.
b. For every $1 million increase in gross revenue, there is an estimated increase of $68,000 in profit per equity partner.
c. The standard error of the estimate is 9.66.
d. The predicted profit per equity partner for a firm with a gross revenue of $675 million is $45,960.
a. The slope is 0.068. This means that for every $1 million increase in gross revenue, there is an estimated increase in profit per equity partner of $68,000. This suggests that there is a positive relationship between gross revenue and profit per equity partner.
b. The standard error of the estimate is 9.66. This shows that the estimated slope is likely to be within 9.66 of the true slope.
c. For a firm with a gross revenue of $675 million, the predicted profit per equity partner is $45,960. This value is determined by multiplying the gross revenue by the slope and adding the intercept.
d. In conclusion, the slope shows that an increase in gross revenue will increase the profit per equity partner, and the standard error of the estimate indicates that the estimated slope is likely to be within 9.66 of the true slope. The predicted profit per equity partner for a firm with a gross revenue of $675 million is $45,960
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Mental processes or behavior patterns that cause emotional distress or substantial impairment in functioning are considered _____ A. conditions of worth. B. psychological disorders. C. trait theories. D. cognitive distortions.
Answers
Answer: b) psychological disorders
Step-by-step explanation:
Question 10 of 10
A triangle has two sides of lengths 4 and 7. What value could the length of
the third side be? Check all that apply.
DA. 11
✓ B. 7
C. 3
DD. 5
DE. 17
DE 9
SUBMIT
Answers
9514 1404 393
Answer:
B, D, F
Step-by-step explanation:
The length of the third side must lie strictly between the sum and difference of the given lengths. If the third side is x, you must have ...
7-4 < x < 7+4
3 < x < 11
The numbers in the list of choices that lie between these limits are 5, 7, 9, choices B, D, F.
The 102nd floor of the sears tower in Chicago is the highest occupied floor. It is 1,431 feet above the ground . How many yards above the ground is the 102nd floor
Answers
Answer:
477 yards
Step-by-step explanation:
1 foot to a yard is 0.333333.
1431 times 0.333333=477yards
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
When we simplify ∛6x⁸ and ∛7x⁷ by multiplying them, we will have ∛42(x⁵)
Simplification of VariablesSimplifying an algebraic expression, also called simplifying a variable expression, means writing the expression in the most basic way possible by eliminating parentheses and combining like terms
In the question given, the variables are ∛7x⁷ and ∛6x⁸, this can be;
When we simplify or find the product of ∛7x⁷ and ∛6x⁸, we will have
∛6x⁸ × ∛7x⁷ = ∛42(x⁵)
The is easily possible because we have both complex variables with the same root.
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Consider the function g(x)=−(x−1)^3−2. Which ordered pair lies on the inverse of the function?
(62,−3)
(−4, 123)
(3, 1)
(3,−6)
Answers
The ordered pair lie on the inverse of the function is (62,−3).
Option A is the correct answer.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
f(x) = -(x - 1)³ - 2
The inverse of f(x).
y = -(x - 1)³ - 2
interchange x and y and solve for y.
x = -(y - 1)3 - 2
(y - 1)³ = -2 - x
(y - 1)³ = -(2 + x)
Cuberoot on both sides.
y - 1 = ∛-(2 + x)
y = ∛-(2 + x) + 1
Now,
Substitute in the inverse of g(x).
(62, -3) = (x, y)
(−4, 123) = (x, y)
(3, 1) = (x, y)
(3,−6) = (x, y)
So,
y = ∛-(2 + x) + 1
y = ∛-(2 + 62) + 1
∛-1 = -1
y = -1∛64 + 1
y = -1 x 4 + 1
y = -4 + 1
y = -3
So,
(62, -3) ______(1)
And,
y = ∛-(2 + x) + 1
y = ∛-(2 - 4) + 1
∛-1 = -1
y = ∛(-2 + 4) + 1
y = ∛2 + 1
y = 1.26 + 1
y = 2.26
So,
(-4, 2.26) _______(2)
And,
y = ∛-(2 + x) + 1
y = ∛-(2 + 3) + 1
∛-1 = -1
y = -1∛5 + 1
y = -1 x 1.71 + 1
y = -1.71 + 1
y = -0.71
So,
(3, -0.71) _______(3)
And,
y = ∛-(2 + x) + 1
y = ∛-(2 + 3) + 1
∛-1 = -1
y = -1∛5 + 1
y = -1 x 1.71 + 1
y = -1.71 + 1
y = -0.71
So,
(3, -0.71) ______(4)
Thus,
From (1), (2), (3), (4) we see that,
(62, -3) is the solution to the inverse of g(x).
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If there are 10 terms of the sequence {2, 7, 12, 17, ...}, what is its mean?
Answers
Answer:
24.5
Step-by-step explanation:
The mean is calculated as
mean = \(\frac{sum}{count}\)
The consecutive terms in the sequence have a common difference d
d = 7 - 2 = 12 - 7 = 17 - 12 = 5
This indicates the sequence is arithmetic with sum to n terms
\(S_{n}\) = \(\frac{n}{2}\) [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
Here a₁ = 2 and d = 5 , thus
\(S_{10}\) = \(\frac{10}{2}\) [ (2 × 2) + (9 × 5) ]
= 5(4 + 45)
= 5 × 49 = 245 , then
mean = \(\frac{245}{10}\) = 24.5
Triangle abc is equilateral, solve for x and y
Answers
Answer:
x = 4
y = 3
Step-by-step explanation:
Remark
If a triangle is equilateral all three sides are equal. So each side has equal statements.
Solution
3x + 2 = 5x - 2y Subtract 3x from both sides
2 = 5x -3x - 2y Combine
2 = 2x - 2y divide by 2
x - y = 1 Equation 1
3x + 2 = 6y - 4 Equilateral triangles have equal sides. Subtract 6y
3x - 6y + 2= - 4 Subtract 2
3x - 6y = -4 - 2
3x - 6y = - 6 Divide by 3
x - 2y = - 2 Equation 2.
Now subtract equation 1 from equation 2
x - 2y = - 2
x - y = 1 Subtract
- y = - 3 Multiply by -2
y = 3
Put y = 3 into equation 1
x - y = 1
x - 3 = 1 Add 3 to both sides.
x = 4
Answer
x = 4
y = 3
A gym membership costs $20 each month plus $2 per visit. The total cost for a month can be modeled by y = 20+ 2x, where x is the number of visits made for a month. graph the function
Answers
The graph of the line represents the total cost for a month as a function of the number of visits made.
To graph the function y = 20 + 2x, we can plot several points and then connect them with a straight line. Here are a few points we can use:
When x = 0 (no visits), y = 20
When x = 1 (one visit), y = 22
When x = 2 (two visits), y = 24
When x = 3 (three visits), y = 26
We can plot these points on a coordinate plane with x on the horizontal axis and y on the vertical axis. After this, we can then connect the dots with a straight line. This line represents the total cost for a month as a function of the number of visits made.
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For each of the following shapes, write down the number of angles that are
equal.
a) Isosceles triangle
b) Equilateral triangle
c) Regular ottagon
d) Regular heptagon
Answers
Answer:
a) Isosceles triangle=2
b) Equilateral triangle=3
c) Regular octagon=8
d) Regular heptagon=7
Step-by-step explanation:
A population’s instantaneous growth rate is the rate at which it grows for every instant in time. Function r gives the instantaneous growth rate of a fruit fly population x days after the start of an experiment.
Consider the graph of function r.
Use the graph to complete each statement.
Function r has
and
. Based on the instantaneous growth rate, the population decreased
days and the population increased
days.
Answers
Answer:
\(r(x) = 0.05 (x^{2}+1 )x-6\)
Step-by-step explanation:
Function r has two complex zeros and one real zero. Based on the instantaneous growth rate, the population decreased between 0 and 6 hours and the population increased after 6 hours.
Find the area of the semicircle
Answers
Answer:
3.92yd
Step-by-step explanation:
pi r²÷2
pi 2.5²÷2=3.92
Kimberly rolls two six-sided number cubes numbered 1 through 6 and adds up the two numbers construct a tree diagram to determine all the possible outcomes list the sum at the end of each branch of the tree
Answers
When Kimberly rolls two six-sided number cubes numbered 1 through 6, it creates 36 possible outcomes which is represent in the tree diagram below
What is a tree diagram?A tree diagram is a visual representation of outcomes. It consists of branches that represent the possible outcomes of each step.
When it comes to Kimberly rolling two six-sided number cubes, we can start by rolling the first cube, and then rolling the second cube.
For each roll of the first cube, there are six possible outcomes (1 to 6). For each outcome of the first cube, there are six possible outcomes for the second cube.
This results in a total of 6 x 6 = 36 possible outcomes.
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IM STUMPED I USUALLY LOVE THESE PROBLEMS :( The least common multiple of x, 10 and 14 is 70. What is the greatest possible value of x?
Answers
Answer:
\(x=70\)
Step-by-step explanation:
If we know that the LCM of 10, 14 and x will be 70, that means x has to be a factor of 70.
First, let's find the multiples of 10 and 14 until they equal 70.
\(10: 10,20,30,40,50,60,70\)
\(14:14,28,42,56,70\)
Since we're asking for the greatest value of x, that means that x has to be smaller or equal to than 70 but still large enough to be the greatest.
Hey, isn't 70 a factor of 70? The remainder gets to 1 which is a whole number, so 70 is a multiple of 70.
So, \(x = 70\).
Hope this helped!
Answer:
x = 35
Step-by-step explanation:
70 factored is 2 x 5 x 7
x = 35
Identify the correct explanation and the similarity statement for the similar triangles.
A: By the Isosc. Δ Thm., ∠B ≅ ∠C, so by the Def. of ≅, m∠B = m∠A.
This gives m∠A = 75° by Substitution.
Then, by the Δ Subt. Thm., m∠C = 30°.
Now apply the Isosc. Δ Thm. and the Δ Subt. Thm. to ΔPQR to find that m∠P = m∠Q = 75°.
Therefore ΔABC ~ ΔPQR by SSS ~.
B: By the Isosc. Δ Thm., ∠B ≅ ∠C, so by the Def. of ≅ , m∠B = m∠C.
This gives m∠C = 75° by substitution.
Then, by the Δ Sum Thm., m∠A = 30°.
Now apply the Isosc. Δ Thm. and the Δ Sum Thm. to ΔPQR to find that m∠P = m∠Q = 75°.
Therefore ΔABC ~ ΔPQR by AA ~.
C: By the Isosc. Δ Thm., ∠B ≅ ∠C, so by the Def. of ≅, m∠B = m∠C.
This gives m∠C = 30° by Substitution.
Then, by the Δ Subt. Thm., m∠A = 75°.
Now apply the Isosc. Δ Thm. and the Δ Subt. Thm. to ΔPQR to find that m∠P = m∠Q = 75°.
Therefore ΔABC ~ ΔPQR by SSS ~.
D: By the Isosc. Δ Thm., ∠B ≅ ∠C, so by the Def. of ≅, m∠B = m∠A.
This gives m∠A = 75° by Substitution.
Then, by the Δ Sum Thm., m∠C = 30°. Now apply the Isosc. Δ Thm. and the Δ Sum Thm. to ΔPQR to find that m∠P = m∠Q = 75°.
Therefore ΔABC ~ ΔPQR by AA ~.
Answers
Answer:
Option B
Step-by-step explanation:
From the picture attached,
In ΔABC,
m∠B = m∠C = 75° [Isosceles triangles]
By applying triangle sum theorem,
m∠A + m∠B + mC = 180°
m∠A + 75° + 75° = 180°
m∠A = 180° - 150°
m∠A = 30°
In triangle PQR,
m∠P = m∠Q [Isosceles triangle]
By applying triangle sum theorem,
m∠P + m∠Q + m∠R = 180°
2(m∠P) + 30° = 180°
m∠P = 75°
m∠P = m∠Q = 75°
In ΔABC and ΔRPQ,
m∠B ≅ m∠Q [Given]
m∠C ≅ m∠R [Given]
Therefore, by AA property of similarity of two triangles, both the triangles will be similar.
ΔABC ~ ΔRPQ
Option B will be the answer.
Which equation is perpendicular to: y = -6x +2
Select one:
a. y = -6x +3
b.y = 1/6x +5
c. y = 6x +1
d. y = -1/6x +4
Answers
Answer:
b.y=1/6x+1
Step-by-step explanation:
i hopeit will help u
Pls help I will brainlest u
Find the sum without using a number line.
Answers
Answer:
- 1 1/4
Step-by-step explanation:
-9 1/4 + 8 = -1 1/4
When rolling a pair of dice, find the probability and odds of rolling a sum that is greater than 9 and odd.Write your answer in simplified form.Use the dash symbols "/" or "\" for expressing the probability as a fraction. Probability = Odds =
Answers
SOLUTION:
The sample space for the sum when rolling a pair of dice is;
We can see from the table, the sum that is greater than 9 and odd is just 11 and this occurs only twice out of 36 possible outcomes.
Thus, the probability of rolling a sum that is greater than 9 and odd. is;
\(\frac{2}{36}=\frac{1}{18}\)To calculate the odds from the probability, we use the formula;
\(Odds=\frac{Prob.}{1-Prob.}\)Inserting the probability, we have;
\(Odds=\frac{1}{18}\div\frac{17}{18}=\frac{1}{18}\times\frac{18}{17}=\frac{1}{17}\)Thus, the
Probability = 1/18
Odds = 1 to 17 = 1/17
what type of ( )do you use in interval notation
Answers
Answer:
With interval notation you would use round parentheses
Step-by-step explanation:
please mark the questions right or wrong. if the answer is wrong, write the correct answer.
Answers
We know that:
\(\sqrt[n]{7}=7^{\frac{1}{n}}\)In this case, by convention:
\(\sqrt[2]{7}=\sqrt[]{7}\)Then,
\(\sqrt[]{7}=\sqrt[2]{7}=7^{\frac{1}{2}}\)Answer: rightWhat is the range of the function on the graph?
O all real numbers
O all real numbers less than or equal to -1
O all real numbers less than or equal to 3
O all real numbers less than or equal to 0
4
-3 -2 -11
-3
Answers
The range of a function is all real numbers less than or equal to 3 option third is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have a graph of a function shown in the picture.
As we can see in the graph the function goes in negative infinitely side.
The function has maximum at x = -1 that is y(max) = 3
The range of a function: (-∞, 3]
Thus, the range of a function is all real numbers less than or equal to 3 option third is correct.
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Use the origin as the center of dilation and the given scale factor to find the coordinates of the vertices of the image of the polygon. K = 1/2
Answers
The new coordinates of the polygon are J'(-5/2, 3/2), K'(1, 3/2), L'(1, -3/2), M'(-5/2, -3/2).
What is transformation?Transformation is the movement of a point in the coordinate plane. Types of transformation are reflection, rotation, translation and dilation.
Dilation is the enlargement or reduction in the size of a figure by a scale factor.
Given the coordinates of polygon J(-5, 3), K(2, 3), L(2, -3), M(-5, -3). For a dilation with a scale factor of 1/2, the new coordinates are:
J'(-5/2, 3/2), K'(1, 3/2), L'(1, -3/2), M'(-5/2, -3/2).
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