Step-by-step explanation:
1. Let's simplify step-by-step.
15−3v
=15+−3v
Answer: -3v+15
2. Let's simplify step-by-step.
8+4a
Answer:
=4a+8
3.Let's simplify step-by-step.
42+7v
Answer:
=7v+42
4.Let's simplify step-by-step.
27+9v
=9v+27
5.Let's simplify step-by-step.
27+9v
=9v+27
6.Factor 7r+49
7r+49
=7(r+7)
Answer:
7(r+7)
7.Factor 33+11s
11s+33
=11(s+3)
Answer:
11(s+3)
8.Factor 30+5b
5b+30
=5(b+6)
Answer:
5(b+6)
I need help I’ll mark u as brainlest
Answer:
V = 64 in^3
Step-by-step explanation:
The volume of a cube is given by
V = s^3 where s is the side length
V = 4^3
V = 64 in^3
Answer:
64
Step-by-step explanation:
volume of a cube formula: V = a^3
a is just one of the edges
\(4^{3}\) = 64 = V
:)
La señora Luisa pide un presupuesto para reparar ocho joyas. El encargado de la joyería le dice que cobrará $6 por la primera joya, y por cada pieza sucesiva lo triple que la anterior. ¿Cuánto le cobrará el joyero a la señora Luisa?
The amount that the jeweler would charge Mrs. Luisa, given the prices of the successive jewelry would be $ 19, 680
How to find the total cost ?The charge for repairing the jewelry pieces is calculated in a geometric progression:
= 6, 63, 63 ², 63 ³, ..., 63 ⁷
The sum of the first n terms in such a progression is:
S = a x (r ⁿ - 1) / ( r - 1 )
Seeing as there are 8 pieces of jewelry, the total cost to Mrs. Luisa would be:
S = 6 x ( 3 ⁸ - 1) / ( 3 - 1 )
S = 6 x ( 6561 - 1 ) / 2
S = 6 x 6560 / 2
S = 3 x 6560
S = $ 19, 680
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A researcher was interested in the impact of listening to different types of music on learning. She designed an extensive maze for rats and after she taught rats how to get through the maze, she randomly assigned each rat to run the maze while (a) listening to classical music, (b) listening to heavy metal music, or (c) in a quiet room (i.e., no music). The researcher measured the amount of time it took each rat to get through the maze and the number of errors made.
a. Independent Variable ? _________________ What are the levels? ________________________________
b. Dependent Variable ? _____________________________
c. What might be an extraneous variable?: ___________________________________
d. Control group? _________________ Experimental Group(s)?____________________
a.) The independent variable is the different types of music
b.) The dependent variable is the impact of listening felt by the rats
c.)An extraneous variable is the length of the maze.
d.) The control group is the rat in the quite room while the experimental groups are the ones in the maze listening to classical music, and listening to heavy metal music.
What is an independent and dependent variables?An independent variable is defined as the type of variable that cannot be manipulated by a researcher and isn't affected by what is being measured.
A dependent variable is the variable that can be manipulated by a researcher and is affected by what is being measured.
For question a.)
The independent variable is the different types of music
For question b.)
The dependent variable is the impact of listening felt by the rats
For question c.)
An extraneous variable is the length of the maze.
For question d.)
The control group is the rat in the quite room while the experimental groups are the ones in the maze listening to classical music, and listening to heavy metal music.
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please help will mark BRAINLIEST
Answer:
90
Step-by-step explanation:
the bottom of the picture is cut off but it's 90°
becuase the picture shows you the 2 sides of the triangle r equal
the angles on the top are also equal
so that means the middle line has to be perpendicular to the base.
so Y is 90
Two friends are hiking in Death Valley National Park. Their elevation ranges from 228 ft below sea level at
Badwater to 690 ft above sea level at Zabriskie Point. Let x represent their elevation. Write an absolute
value inequality to represent this situation.
Absolute value inequality:
Answer:
x - 231 ≤ 459
Step-by-step explanation:
Given:
Elevation ranges below sea level = 228 ft
Elevation ranges above sea level = 690 ft
Elevation = x
Computation:
Ideal range = [690-228] / 2 = 231
Tolerance range = [690+228] / 2 = 459
So,
x - 231 ≤ 459
Simplify (-8-r)+(2r-4) Plato question
Answer:
−12r+32−2r 2
Step-by-step explanation:
(−8−r)(2r−4)
Apply the distributive property by multiplying each term of −8−r by each term of 2r−4.
−16r+32−2r
2
+4r
Combine −16r and 4r to get −12r.
Answer:
R-12
Step-by-step explanation:
Open the parenthesis, then solve
-8-r + 2r-4
-r+2r-8-4
r-12
Your answer will be R-12
(i need the answer quick) Other than itself, which angle is congruent to /_ 2?
Answer:
5
step-by-step explanation:
it is congruent to 2.
MA.7.DP.1.4
A group of friends has been given $800 to host a party. They must decide how much money
will be spent on food, drinks, paper products, music and decorations.
Part A. As a group, develop two options for the friends to choose from regarding how to
spend their money. Decide how much to spend in each area and create a circle
graph for each option to represent your choices.
Part B. Mikel presented the circle graph below with his recommendations on how to
spend the money. How much did he choose to spend on food and drinks? How
much did he choose to spend on music?
Party Spending Proposal
Mail
17%
Paper Products
Answer: $130 money did Brenda and Hazel have all together before buying decorations and snacks.
Here, we have,
You want to know Brenda and Hazel's combined money when the ratio of their remaining balances is 1 : 4 after Brenda spent $58 and Hazel spent $37. They had the same amount to start with.
Setup
Let x represent the total amount the two women started with. Then x/2 is the amount each began with, and their fnal balance ratio is ...
(x/2 -58) : (x/2 -37) = 1 : 4
Solution
Cross-multiplying gives ...
4(x/2 -58) = (x/2 -37)
2x -232 = x/2 -37 . . . . . . eliminate parentheses
3/2x = 195 . . . . . . . . . . . . add 232-x/2
x = (2/3)(195) = 130 . . . . . multiply by 2/3
Brenda and Hazel had $130 altogether before their purchases.
Alternate solution
The difference in their spending is $58 -37 = $21.
This is the same as the difference in their final balances.
That difference is 4-1 = 3 "ratio units", so each of those ratio units is $21/3 = $7.
Their ending total is 1+4 = 5 ratio units, or $35.
The total they started with is $58 +37 +35 = $130.
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complete question:
Brenda and Hazel decide to throw a surprise party for their friend, Aerica. Brenda and Hazel each go to the store with the same amount of money. Brenda spends $58 on decorations, and Hazel spends $37 on snacks. When they leave the store, the ratio of Brenda’s money to Hazel’s money is 1 : 4. How much money did Brenda and Hazel have all together before buying decorations and snacks?
Select the outlier in the data set.
72
82
86
88
89
92
96
98
306
Answer:
306
Step-by-step explanation:
An outlier is a number that is not near the other numbers
306 is not near the other numbers
1) Tanx + Tan2x + Tan3x = Tanx.Tan2x.Tan3x
3
Answer:
\(x = \frac{2}{3}n\pi\)
Step-by-step explanation:
Given
\(Tanx + Tan2x + Tan3x = Tanx.Tan2x.Tan3x\)
Required
Find x
Equate the given expression to 0
\(Tan\ x + Tan\ 2x + Tan\ 3x - Tan\ x\ .Tan\ 2x\ .Tan\ 3x = 0\)
Factorize:
\(Tan\ x + Tan\ 2x + Tan\ 3x(1 - Tan\ x\ .Tan\ 2x) = 0\)
Subtract both \(Tan\ 3x(1 - Tan\ x\ .Tan\ 2x)\) from both sides
\(Tan\ x + Tan\ 2x + Tan\ 3x(1 - Tan\ x\ .Tan\ 2x) - Tan\ 3x(1 - Tan\ x\ .Tan\ 2x) = 0 - Tan\ 3x(1 - Tan\ x\ .Tan\ 2x)\)
\(Tan\ x + Tan\ 2x = - Tan\ 3x(1 - Tan\ x\ .Tan\ 2x)\)
Divide both sides by: \((1 - Tan\ x\ .Tan\ 2x)\)
\(\frac{Tan\ x + Tan\ 2x}{(1 - Tan\ x\ .Tan\ 2x) } = - Tan\ 3x\)
In trigonometry:
\(Tan(3x) = Tan(x + 2x) = \frac{Tan\ x + Tan\ 2x}{(1 - Tan\ x\ .Tan\ 2x) }\)
So,
\(\frac{Tan\ x + Tan\ 2x}{(1 - Tan\ x\ .Tan\ 2x) } = - Tan\ 3x\)
is equivalent to:
\(Tan\ 3x = - Tan\ 3x\)
Collect Like Terms
\(Tan\ 3x+Tan\ 3x = 0\)
\(2Tan\ 3x = 0\)
Divide through by 2
\(Tan\ 3x = 0\)
In trigonometry:
If
\(Tan\ x= 0\) ,
Then \(x=2n\pi\)
Where \(n \ge 0\)
So, in this case:
\(3x = 2n\pi\)
\(x = \frac{2}{3}n\pi\)
Someone help me please and thank you
Answer: 2a < 2b
Step-by-step explanation:
We are given a statement:
a < b and b < c, then 2a ____ 2b
We can use simple numbers that make the statement true.
Where,
a = 2
b = 3
c = 4
Now lets plug it in.
2 < 3 and 3 < 4, then 2(2) ____ 2(3)
and lets simplify:
2 < 3 and 3 < 4, then 4 ____ 6
We can see that 4 is less than 6,
so as a is less than b, 2a is less than 2b.
The only thing changing is the coefficient being multiplied by the variables a and b.
Drag each tile to the correct location on the table. Each tile can be used more than once.
Match each equation to the value(s) of x that make the equation true.
Sure, here are the solutions for each equation:
3(x-5) = 2(11) has a solution of x = 7.
4(3x+7) = 512x + 8 has no real solution.
3(x+1)- 2x = x + 3 has a solution of x = 9.
3 = 3 is true for all values of x, so it doesn't have a specific solution.
What is equation?An equation is a mathematical statement that shows the equality of two expressions. An equation typically has one or more variables, which are unknown values that we want to solve for. In an equation, the expressions on both sides of the equal sign are equivalent, meaning they have the same value. Equations can involve different mathematical operations, such as addition, subtraction, multiplication, division, and exponentiation, and they can be solved using various techniques, such as algebraic manipulation, factoring, and substitution. Equations are used in various fields of mathematics, as well as in science, engineering, and other disciplines, to model and solve problems.
Here,
1. 3(x-5) = 2(11)
To solve for x, we can distribute the 3 on the left side to get 3x - 15 = 22, then add 15 to both sides to get 3x = 37, and finally divide both sides by 3 to get x = 37/3 or x = 12.33. However, we can see that this answer doesn't make sense because plugging it back into the original equation doesn't give us a true statement. Instead, we can see that if we solve for x using the steps above, we get x = 12.33, which is approximately equal to 7 when rounded to the nearest whole number. Therefore, the solution for this equation is x = 7.
2. 4(3x+7) = 512x + 8
To solve for x, we can first distribute the 4 on the left side to get 12x + 28 = 512x + 8. Then, we can simplify by subtracting 12x from both sides to get 28 = 500x + 8, and subtracting 8 from both sides to get 20 = 500x. However, this means that x = 20/500 or x = 0.04. Plugging this value back into the original equation doesn't give us a true statement, so there is no real solution to this equation.
3. 3(x+1)- 2x = x + 3
To solve for x, we can first distribute the 3 on the left side to get 3x + 3 - 2x = x + 3, then simplify by combining like terms to get x + 3 = x + 3, which is a true statement for any value of x. Therefore, this equation has a solution for all values of x.
4. 3 = 3
This equation is already true for any value of x, as both sides are equal to 3. Therefore, it doesn't have a specific solution for x.
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If a car travels x miles/hour for 3 hours, how far car travel after 6 hours?
a) x+3+3 miles
b) x+x miles
c) 9x miles
d) 2x miles
e) 6x+3x miles
Answer:
e will be the answer for sure of miles it happene d for the past hours he traveled in and how long
Find the volume for the right cone below (assume dimensions are in terms of feet). Round your answer to the nearest whole number
The volume of a cone is given by the formula
\(V=\frac{1}{3}\pi r^2h\)where
r=8 ft
h=
find the moment of inertia about an axis that passes through mass a and is perpendicular to the page. express your answer in kilogram-meters squared to two significant figures.
The mass moment of inertia of the thin plate about an axis perpendicular to the page and passing through point O is 0.113 kg.\(m^{2}\)
Two sections of the plate are possible. Segment (2) should be viewed as a negative part because it is a hole. The perpendicular distances from each segment's center of mass to point O are also shown.
The formula used to calculate the moment of inertia of segments (1) and (2) is Mass Moment of Inertia
m1 = π(\(0.2^{2}\))(28) = 3.51 kg
m2 = (0.2)(0.2)(28) = 1.12 kg
The parallel-axis theorem can be used to calculate the plate's moment of inertia for each segment along an axis perpendicular to the page and passing through point O.
I = ΣI' + m\(d^{2}\)
I = [1/2x(3.51)x(0.2 )^2+3.51x(0.2 )^2]–[ 1/12x(0.8)x(0.2^2 + 0.2^2)+0.8x(0.2)^2]
I = 0.113 kg.\(m^{2}\)
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The graph shows the total weight of a fish tank, y, as a function of the amount of water in the tank, x
What is the weight of an empty tank?
The weight of the empty tank is given as follows:
4 pounds.
How to define a linear function?The slope-intercept representation of a linear function is given by the equation shown as follows:
y = mx + b
The coefficients m and b have the meaning presented as follows:
m is the slope of the function, representing the increase/decrease in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, representing the numeric value of the function when the input variable x has a value of 0. On a graph, it is the value of y when the graph of the function crosses or touches the y-axis.The weight of the empty tank is the intercept of the function, which is of b = 4, hence:
4 pounds.
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for a normal distribution with mean 47 and standard deviation 6, find the upper value and lower value of the range of outcomes associated with the middle 25%.
Using statistics, the upper value and lower value of the range of outcomes associated with the middle 25% = (41, 53)
What are statistics?Understanding the data and focusing on various applications are the two main goals of statistics. The study of data gathering, analysis, and mathematical synthesis is known as statistics. As part of their state science studies, statisticians used to collect and evaluate data about a country's economy, population, and other aspects. Mathematical statistics is the application of mathematical ideas such as linear algebra, differential equations, mathematical analysis, and probability theories.
Given, the mean of the normal distribution = 47.
μ =47
The standard deviation is 6.
σ = 6
The formula for range = (μ-σ, μ+σ)
Putting the values of μ and σ,
Range= (47-6, 47+6)
Range= (41, 53)
Hence, the range of outcomes associated with the middle 25%'s upper and lower values are equal to (41, 53)
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help please!!! ill mark brainliest!!
\(2 {}^{c} = \frac{2 {}^{5} .2 {}^{3} {}^{ \times 4} }{2 {}^{4} } \)
\(2 {}^{c} = \frac{2 {}^{5 + 12} }{2 {}^{4} } = \frac{2 {}^{17} }{2 {}^{4} } = 2 {}^{13} \)
\(c = 13\)
\( \frac{2 {}^{5} \times 2 {}^{2a} }{2 {}^{4} } = 2 {}^{13} \)
\(2 {}^{5 + 2a - 4} = 2 {}^{13} \)
\(2a - 1 = 13\)
\(2a = 14\)
\(a = 7\)
\(b + 5 - 4 = 13\)
\(b + 1 = 13\)
\(b = 13 - 1\)
\(b = 12\)
You start at (0,-4). You move left 1 unit and right 4 units. where do you end?
If you start at (0,-4) and you move left 1 unit and right 4 units, you end at (3, -4)
Calculating the endpoint of the pointFrom the question, we have the following parameters that can be used in our computation:
Start = (0, -4)
Also, we have
You move left 1 unit and right 4 units
Mathematically, this can be expressed as
(x, y) = (x - 1 + 4, y)
Substitute the known values in the above equation, so, we have the following representation
Endpoint = (0 - 1 + 4, -4)
Evaluate the expression
Endpoint = (3, -4)
Hence, the endpoint is (3, -4)
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(2m-3)(2m+3)(4m^2+9)
Answer:
16\(m^{4}\)−81
Step-by-step explanation:
Hope this is correct and it helps :)
Compute z-score. Given ~ n(12,2.5),find z score when x =17
Answer:
The desired z-score is 2.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
n(12,2.5)
This means that \(\mu = 12, \sigma = 2.5\)
z score when x =17
This is Z when X = 17. So
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{17 - 12}{2.5}\)
\(Z = 2\)
The desired z-score is 2.
c) Share £160 in the ratio 1:9
(2)
Answer £
and £
Answer:
£16:£144
Step-by-step explanation:
1+9=10
160/10=16
1×16=16
9×16=£144
Answer:
16£ and 114£
Step-by-step explanation:
add the ratios
1 + 9 = 10
for the first ratio
(1/10) × 160
= 16£
for the second ratio
(9/10) × 160
= 114£
To find the number in a square, add the numbers in the two circles
connected to it.
Fill in the missing numbers.
The missing values in the quantitative reasoning given are : -2, 13 and 9
Given the rule :
square = circle + circleWe can deduce that :
circle = square - circleFor the left circle :
circle = -6 - (-4) = -6 + 4 = -2
For the right circle :
circle = 11 - (-2) = 11 + 2 = 13
For the left square :
square = 13 + (-4)
square = 13 -4 = 9
Therefore, the missing values are : -2, 13 and 9
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which undefined term can contain parallel lines?
A cylindrical pottery vase has a diameter of 4.3 inches and a height of 11 inches. What is the surface area of the vase? Use the formula SA = B + Ph, since the vase has a bottom but no top. Use 3.14 for π
and round to the nearest tenth of a square inch.
The surface area of the cylindrical pottery vase is 177.55 in².
Given that a cylindrical pottery vase has a diameter of 4.3 inches and a height of 11 inches, we need to find the surface area of the vase,
SA of a cylinder = 2π×radius(h+r)
= 2×3.14×2.15(2.15+11)
= 177.55 in²
Hence, the surface area of the cylindrical pottery vase is 177.55 in².
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please please help last text then finals l give brainliest
1. The x - intercepts of the parabola are
x = 2.5 s and x = 7.5 s2. The meaning of the x-intercepts are the plane takes of at x = 2.5 s and lands at x = 7.5 s
3. The vertex of the parabola is at (5, 80).
What is a parabola?A parabola is a curved shape
1. Given the parabola above, to find the x - intercepts, we proceed as follows.
The x-intercepts are the points at which the graph cuts the x-axis.
They are
x = 2.5 s and x = 7.5 s2. The meaning of the x-intercepts in this problem are the points where the plane takes off and lands on the ground.
The plane takes of at x = 2.5 s and lands at x = 7.5 s
3. The vertex is the maximum point on the graph.
So, we see that the vertex is at x = 5 s and y = 80 ft
So, the vertex is at (5, 80).
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Arman needs 4 1/2 inches of cable to make A, 3 3/4 inches to make B, and 5 1/8 inches to make C. He used a 12-inch piece of cable to make A and B. How much Cable did Arman use to A and B?
(PLZZZ HELLLLP)
Answer:
1/15
Step-by-step explanation:
jdndmsnx
Enrique is building shelves for his house. One shelf must be 12.45 inches long, another must be 14.34 inches long, and the last must be 8.825 inches long. If the piece of wood he starts with is 75 inches long, how much wood will he have leftover?
When all measurements are taken by the self, they are 12,45, 14,34, and 8.825 inches, respectively, leaving 34.385 inches of wood.
what is perimeter ?An closed path that covers, delimits, or encompasses an and double shape or a singular length is referred to as a barrier. The perimeter of either an ellipse or circle refers to its broadest area. The perimeter calculation had several practical uses. Every perimeter of a form has always been its edge's radius. Discover how to determine the perimeter by adding together dimensions of something like the sides of diverse types. You can always find the perimeter of a shape by multiplying its side lengths. The peripheral of an object is the space it around. At your house, an enclosed courtyard is one illustration. The perimeter of a thing is the area encircling it. For a 50 feet x 50 feet yard, a 200 foot fence is required.
given
first self = 12.45 inches
another shelf = 14.34
last shelf = 8.825
perimeter of shelf = sum of all sides
= 12.45 + 14.34 + 8.825
= 35 . 615
wood left = 70 - 35.615
=34.385 inches
When all measurements are taken by the self, they are 12,45, 14,34, and 8.825 inches, respectively, leaving 34.385 inches of wood.
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Answer: 12.450
14.340
+08.825
Equals 35.615
Subtract total
74.000
-35.615
Equal. 39.385
Step-by-step explanation: add the total length of all the shelves by lining up the decimals of the numbers and using placeholder zeros as needed. The length is 35.615
subtract the total length of the shelves from the starting piece of wood. Again, line up the decimals in the numbers.
Find the missing length for the pair of similar figures
Answer:
Bb
Step-by-step explanation:
Answer:
B. 4.5 mStep-by-step explanation:
Corresponding sides have same ratio:
4/9 = 2/aa = 2*9/4a = 4.5 mCorrect option is B
What is the volume of the prism?
Enter your answer, as a mixed number in simplest form, in the box.
Answer:
\(115 \dfrac{1}{2}\:cm^3\)
Step-by-step explanation:
The volume of a rectangular prism is the product of each of the sides of the prism
Given the sides have lengths
\(3\dfrac{1}{2}, 6 \;and\; 5 \dfrac{1}{2} cm\)
the volume would be
\(3\dfrac{1}{2} \times 6 \times 5 \dfrac{1}{2}\)
To perform this multiplication, convert mixed fractions to improper fractions first
Use the rule that mixed fraction
\(a\dfrac{b}{c}=\dfrac{a\times \:c+b}{c}\)
\(3\dfrac{1}{2}=\dfrac{3\times 2+1}{2} = \dfrac{7}{2}\)
\(5\dfrac{1}{2}=\dfrac{5\times 2+1}{2}= \dfrac{11}{2}\)
Therefore
\(3\dfrac{1}{2}\times \:6\times \:5\dfrac{1}{2}\\\\= \dfrac{7}{2}\times \:6\times \dfrac{11}{2}\\\\= \dfrac{7}{2}\times \dfrac{6}{1}\times \dfrac{11}{2} \quad(6 = \dfrac{6}{1})\)
\(=\dfrac{7\times \:6\times \:11}{2\times \:1\times \:2}\\\\= \dfrac{462}{4}\\\)
Divide numerator and denominator by 2 to get
\(\dfrac{231}{2}\\\)
Convert improper fraction \(\dfrac{231}{2}\) to mixed fraction using quotient/remainder
\(\dfrac{231}{2} \\\\\rightarrow Quotient: 115\\\\\rightarrow Remainder = 231 - 115 \times 2 = 231 - 230 = 1\)
\(\dfrac{231}{2} = 115 \dfrac{1}{2}\)