Answer:
22
Step-by-step explanation:
You can substitute a with 15. So now, the equation is 2(15 - 5) + 2.
We can use PEMDAS to solve this equation now. Since the P is first in PEMDAS, we have to solve what's inside the parentheses first. 15 - 5 would be 10. So now the equation is 2(10) + 2.
There's no more to solve in the parentheses, so we can move on to multiplication. 2(10) would be 20. So now the equation is 20 + 2.
Add 20 + 2 and you get 22. Hope that helps!
Which set shows an average of 8?
A) A
B) B
C) A and B
D) none of the above
Answer: D
Step-by-step explanation:
None of the above
Answer:
Step-by-step explanation:
d
Theoretical propobility
Theoretical probability is the likelihood of an event occurring based on mathematical reasoning or analysis, rather than on empirical or experimental data.
What is probability?Probability refers to the likelihood of a particular event or outcome occurring. It is a measure of the chance of an event happening, and is expressed as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. The probability of an event can be determined by dividing the number of favorable outcomes by the total number of possible outcomes. Probability is used in many fields, including mathematics, statistics, physics, engineering, and finance, to make predictions and inform decision-making.
Here,
It is calculated using the laws of probability and assumes that all outcomes are equally likely to occur. Theoretical probability is often used in situations where it is not possible or practical to conduct experiments or collect data, such as in mathematical or statistical modeling.
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what is 8q= 96 what is it?
To find the value of q, divide both sides of the equation by 8:
\(\begin{gathered} 8q=96 \\ \Rightarrow\frac{8q}{8}=\frac{96}{8} \end{gathered}\)Simplify both members of the equation:
\(\begin{gathered} \Rightarrow q=\frac{96}{8} \\ \Rightarrow q=12 \end{gathered}\)Therefore:
\(q=12\)need help :( plsssssssssss
Answer:
The polygon is a triangle, and is not a regular polygon.
Step-by-step explanation:
The polygon is a triangle because of it's three sides. It's also a non regular polygon since it's no equilateral or equiangular.
Any help would be appreciated.
What is that for?
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I have more question just don't get it wronge
Answer:
Relfection over the x axis
Step-by-step explanation:
It is the name shape but flipped onto the other side, therefore it is a reflection
Lemon's class recorded the number of pets each student owns in the
frequency table below.
Number Tally
0 ||||| ||
1||||| |||||
2||||| ||
3 ||||| |||
4 |||||
If 2 more students were added to the class and they each own 2 pets
or less, how many total students own 2 pets or less?
Answer:
25
Step-by-step explanation:
Answer:
25 students
Step-by-step explanation:
If you add all tallies 2-0 you find 23... if you add 2 this equals 25.
I am lost on this question i found both but it keeps on telling me i am incorrect
Answer:
I have completed the answers and attached them to the explanation.
Step-by-step explanation:
Answer:
Step-by-step explanation:
The question asks for a subtraction expression:
length is always a positive number so bigger number first here.
OB = 4-(-1) >only moves in x direction so subtract x's
AB = 4-(-2) >only moves in y direction so subtract y's
John drove 255 miles using 10 gallons of gas. At this rate, how many gallons of gas would he need to drive 411 miles?
Answer:
19.6 gallons
Step-by-step explanation:
225/10=441/G
cross multiply
225G=10*441
225G=4410
G=4410/225
G=19.6 gallons of gas
Given that \(I_0 = 10^-12\) watts/\(meters^2\), what is the intensity of a sound for which the decibel level of the sound measures 156? Round off your answer to three decimal places.
The intensity of sound which the decibel level of the sound measures 156 is 3.981 × 10³ W/m²
Decibel level, dB = 10log₁₀(I/I₀) where dB = decibel level = 156, I = intensity at 156 dB and I₀ = 10⁻¹² W/m².
Since we require I, making I subject of the formula, we have
dB/10 = log₁₀(I/I₀)
\(\frac{I}{I_{0} } = 10^{\frac{dB}{10} } \\I = I_{0} 10^{\frac{dB}{10} }\)
Substituting the values of the variables into the equation, we have
\(I = I_{0} 10^{\frac{dB}{10} }\\I = 10^{-12} 10^{\frac{156}{10} }\\I = 10^{-12} 10^{15.6}\\I = 10^{15.6-12} \\I = 10^{3.6} W/m^{2}\)
I = 3981.072W/m²
I = 3.981 × 10³ W/m²
So, the intensity of sound which the decibel level of the sound measures 156 is 3.981 × 10³ W/m²
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PLEASE HELP. Will pick branliest!
Triangle ABC is similar to triangle WYZ. Find the value of the line segment WZ.
Answer:
WZ=4
Step-by-step explanation:
2/5=x/10
cross multiply
20=5x
x=4
Answer:
4, because 10/5 is 2, and then 2 * 2 is 4.
A soccer team is planning to sell candy bars to spectators at their games. They will buy two-pound bags of candy. The number of candy bars per bag has mean 12 and standard deviation 2. They will sell each candy bar for $1.25. (Assume that all of the candy in a bag will be sold.)
1. What is the expected value and the standard deviation for the amount of money that would be made selling all of the candy in one bag of candy?
The expected value for the amount of money made selling all of the candy in one bag is $15, and the standard deviation is approximately $24.33.
What exactly is a standard deviation?The standard deviation is a measurement of how widely apart a set of numbers or statistics are from their mean.
The expected value for the amount of money made selling all of the candy in one bag can be found by;
Expected value = mean number of candy bars per bag x price per candy bar
Expected value = 12 x $1.25 = $15
Formula for the standard deviation of a product of random variables:
\(SD (XY) = \sqrt{((SD(X)^2)(E(Y^2)) + (SD(Y)^2)(E(X^2)) + 2(Cov(X,Y))(E(X))(E(Y)))}\)
where X and Y are random variables, SD is the standard deviation, and Cov is the covariance.
X is the number of candy bars in a bag, which has a mean of 12 and a standard deviation of 2. Y is the price per candy bar, which is a constant $1.25. So we have:
E(Y²) = $1.25² = $1.5625
E(X²) = (SD(X)²) + (E(X)²) = 2² + 12² = 148
Cov (X,Y) = 0 (because X and Y are independent)
Using these values, we can calculate the standard deviation for the amount of money made selling all of the candy in one bag:
\(SD = sqrt((2^{2} )(148) + (0)(12)(1.25)^{2} + 2(0)(2)(12)(1.25))\)
SD = √(592)
SD ≈ $24.33
Therefore, the expected value for the amount of money made selling all of the candy in one bag is $15, and the standard deviation is approximately $24.33.
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Work out the area of this cuboid 7.5cm 2.3 cm and 5cm
Answer:
Below
Step-by-step explanation:
Area if cuboid =2(l*b+b*h+h*l)
= 2(7.5*5+5*2.3+2.3*7.5)
=2(37.5+11.5+17.25)
=2(66.25)
=103.75cm^3
Solve the problem. Use the Central Limit Theorem. The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 109.0 inches, and a standard deviation of 10 inches. What is the probability that the mean annual precipitation during 25 randomly picked years will be less than 111.8 inches
Answer:
0.91924
Step-by-step explanation:
Given that :
A normal distribution has ;
Mean (m) = 109.0 inches
Standard deviation (σ) = 10 inches
Sample size (n) = 25
Probability that randomly picked years is less than 111.8 inches
Using the Zscore relation :
Zscore = (x - m) / (σ/√n)
x = score = 111.8 inches
Zscore = (111.8 - 109.0) / (10/√25)
Zscore = (2.8) / (10/5)
Zscore = 2.8 / 2
Zscore = 1.4
P(Z < 1.4) = 0.91924 ( using z probability calculator)
P(Z < 1.4) = 0.91924
present ages of two children are 2 and 5 years the rspectively. After how long will the sum of their square ages be 45.
Using the concept of word problems and quadratic equation it will take 1 year until the sum of square of their ages be 45.
Calculating the duration to get the sum to 45Word problems are mathematical problems that are delivered in ordinary words, instead of mathematical symbols.
Part of the problem with dealing with word problems that they first need to be translated into mathematical equations, and then the equations need to be solved.In this problem;
let x represent the number of years from now when the sum of square of their respective age will be
45.(x + 2)² + (x + 5)² = 45
Expanding the brackets;
x² + 4x + 4 + x² + 10x + 25 = 45
2x² + 14x + 29 = 45
2x² + 14x + 29 - 45 = 0
2x² + 14x - 16 = 0
Solving the quadratic equation for x;
x = 1, x = -8
Taking the positive value, the value of x is 1
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Help please!! I will mark brainilist and give a lot of points.
This is Pythagorean theorem.
Formula: a^2+b^2=c^2
When I say ^2 I mean to the power of 2.
The question is asking me to solve for a.
Then give me b and c which is b = 17 1/3 and c = 16.
How do I solve for a when b is greater than c? Won’t that give me a negative a? You can’t have a negative a right?
Unless I’m wrong.
Please help my solve this!!!!! :D
Answer:
a = 23.588
Step-by-step explanation:
a^2 = 17 1/3^2 + 16^2
a^2 = 300.4 + 256
a^2 = 556.4
a = 23.588 (I rounded to thousandths but you can round to whatever)
Hello there,
I just looked into the question and you are absolutely right whatever you inferred.I think the question might be wrong.The value of c should be greater than b.I guess it will like this:\(b = 16 \: \: \: c = 17 \frac{1}{3} \)The values should be like this.I am solving the equation by this:\( {a}^{2} = {c}^{2} - {b}^{2} \\ = > {a}^{2} = {(17 \frac{1}{3}) }^{2} - {(16)}^{2} \\ = > {a}^{2} = {( \frac{52}{3} )}^{2} - {(16)}^{2} \\ = > {a}^{2} = ( \frac{52}{3} - 16)( \frac{52}{3} + 16) \\ = > {a}^{2} = ( \frac{52 - 48}{3} )( \frac{52 + 48}{3} ) \\ = > {a}^{2} = \frac{4}{3} \times \frac{100}{3} \\ = > {a}^{2} = \frac{400}{9} \\ = > a = \sqrt{ \frac{400}{9} } \\ = > a = \frac{20}{3} \\ = > a = 6 \frac{2}{3} \)So, the value of a is \(a = 6 \frac{2}{3} \)Hope you could get an idea from it.
Doubt clarification - use comment section.
Use the volume formula to find the volume of the prism.
TIN
OA. 21 cubic units
OB. 42 cubic units
O C. 84 cubic units
OD. 13 cubic units
NY
Answer:
B. 42 cubic units
Step-by-step explanation:
The formula for volume of a rectangular prism is given by :
V = lwh, where
V is the volume in cubic units,l is the length,w is the width, and h is the height.In the diagram, the length is 8 units, the width is 1 1/2 units (i.e., 1.5 units), and the height is 3 1/12 units (i.e., 3.5 units).
Thus, we plug in 8 for l, 1.5 for w, and 3.5 for h in the volume formula to find V, the volume in cubic units:
V = (8)(1.5)(3.5)
V = 12(3.5)
V = 42
Thus, the volume of the prism is 42 cubic units (answer choice B.)
A couple plans to purchase a house. The bank requires a 20% down payment on the $240,000 house. The couple will finance the rest of the cost with a fixed- rate mortgage at 8.5% annual interest with monthly payments over 30 years.
Complete the parts below. Do not round any intermediate computations. Round your final answers to the nearest cent if necessary. If necessary, refer to the list of financial formulas.
(a) Find the required down payment.
(b) Find the amount of the mortgage.
(c) Find the monthly payment.
(A) The required down payment is $48,000.
(B) The amount of the mortgage is $192,000.
(C) Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)
(a) To find the required down payment, we need to calculate 20% of the house price.
Down payment = 20% of $240,000
Down payment = 0.2 * $240,000
Down payment = $48,000
The required down payment is $48,000.
(b) The amount of the mortgage is equal to the total cost of the house minus the down payment.
Mortgage amount = Total cost of the house - Down payment
Mortgage amount = $240,000 - $48,000
Mortgage amount = $192,000
The amount of the mortgage is $192,000.
(c) To find the monthly payment for the mortgage, we can use the formula for the monthly payment on a fixed-rate mortgage:
Monthly payment = P * r * (1 + r)^n / ((1 + r)^n - 1)
Where:
P = Principal amount (mortgage amount)
r = Monthly interest rate (8.5% annual interest divided by 12 months and converted to a decimal)
n = Total number of monthly payments (30 years multiplied by 12 months)
Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)
Using this formula and performing the calculation will give you the monthly payment amount.
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please help 3/4 divided by 1/8
Answer:
6
Step-by-step explanation:
please help 3/4 divided by 1/8
3/4 : 1/8 =
3/4 x 8 =
24/4 =
6
Select all the correct answers.
Which three equations are equivalent to 1 +3|x-21 = 16?
O
X-2 = -5 or x - 2 = 5
X=-3 or x = 7
O
|x+2) = 5
0
x+2 = -5 or x+ 2 = 5
0
O
x=3 or x= -7
O
| x-2= 5
Answer:
Select all the correct answers.
Which three equations are equivalent to 1 +3|x-21 = 16?
O
X-2 = -5 or x - 2 = 5
X=-3 or x = 7
O
|x+2) = 5
0
x+2 = -5 or x+ 2 = 5
0
O
x=3 or x= -7
O
| x-2= 5
6) Identify the slope (6,2) and (6,-5) *
Which is the graph of the function f/x )= x 2 2x 3?; Which graph represents the function f/x )= 4 x?; How do you find a function on a graph?; Which is one of the transformations applied to the graph of f/x )= x2 to change it into the graph?
The graph of the function f(x) = x² + 2x + 3 is a parabola with vertex (-1, 2).
You can use the vertical line test on a graph to determine whether a relation is a function. If it is impossible to draw a vertical line that intersects the graph more than once, then each x-value is paired with exactly one y-value. So, the relation is a function.
Given, the function is f(x) = x² + 2x + 3
We have to find the graph of the function.
Let y = x² + 2x + 3
Put x = -3
y = (-3)² + 2(-3) + 3
= 9 - 6 + 3
= 9 - 3
y = 6
Put x = -2
y = (-2)² + 2(-2) + 3
= 4 - 4 + 3
y = 3
Put x = -1
y = (-1)² + 2(-1) + 3
= 1 - 2 + 3
= 4 - 2
y = 2
Put x = 0
y = (0)² + 2(0) + 3
= 0 + 0 + 3
y = 3
Put x = 1
y = (1)² + 2(1) + 3
= 1 + 2 + 3
= 3 + 3
y = 6
We can plot the graph using the points.
The graph of the function f(x) = x² + 2x + 3 is a parabola with vertex (-1, 2).
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PLEASE HELP FAST & CORrect 50 POINTS
Answer:
105
Step-by-step explanation:
● Blondies are squares with 3 inch sides. ● Brownies are squares with 6 inch sides. ● The tray that displays the blondies and brownies has an area of 648 square inches and is completely full. If she has 4 rows of blondies and 4 rows of brownies, what fraction of the area of the tray, in square inches, is blondies? Show your work.
The fraction of the area of the tray occupied by the blondies is 1/9.
To find the fraction of the area of the tray occupied by blondies, we need to determine the area occupied by the blondies and compare it to the total area of the tray.
Let's calculate the area of each individual blondie:
The blondies are squares with 3-inch sides, so the area of each blondie is 3 inches × 3 inches = 9 square inches.
Now, let's calculate the area occupied by the blondies in each row:
Since there are 4 rows of blondies and each row contains 4 blondies, the total number of blondies is 4 rows × 4 blondies per row = 16 blondies.
So, the total area occupied by the blondies is 16 blondies × 9 square inches per blondie = 144 square inches.
Next, let's determine the area occupied by the brownies:
The brownies are squares with 6-inch sides, so the area of each brownie is 6 inches × 6 inches = 36 square inches.
Since there are also 4 rows of brownies and each row contains 4 brownies, the total number of brownies is 4 rows × 4 brownies per row = 16 brownies.
Therefore, the total area occupied by the brownies is 16 brownies × 36 square inches per brownie = 576 square inches.
Now, let's calculate the total area of the tray:
Given that the tray is completely full and has an area of 648 square inches, we can subtract the area occupied by the brownies from the total area to find the remaining area occupied by the blondies:
Total area of the tray - Area occupied by the brownies = Area occupied by the blondies
648 square inches - 576 square inches = 72 square inches.
So, the fraction of the area of the tray occupied by the blondies is:
Area occupied by the blondies / Total area of the tray = 72 square inches / 648 square inches.
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 72 in this case:
72 square inches / 648 square inches = 1/9.
Therefore, the blondies' percentage of the tray's surface area is 1/9.
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In Las Vegas, the hottest recorded temperature is 47°C, and the lowest recorded temperature is -13°C. What is the difference between the city's highest and lowest recorded temperatures?
The difference between the citys highest and lowest recorded temperatures is 60°.
The graph of F(x), shown below, has the same shape as the graph of
G(x) = x2. Which of the following is the equation ofFx)?
+
5
-5
FOO = ?
O A. Fx) = x2.5
O )
B. Fx) = 5 - x2
O C. F(x) = x2 + 5
O D. F(x) = x2
Answer:
x^2
Step-by-step explanation:
If it has the same shape, it has the same points, it has the same equation/expression.
The equation of the given graph is F(x) = x² - 5. The correct answer is an option (A).
What is Parabola?A parabola is a U-shaped curve this is drawn for a quadratic function.
The graph of F(x) = x² - 5 is a parabola that opens upward and is shifted 5 units down compared to the graph of G(x) = x².
The vertex of the parabola is located at (0,-5) instead of (0,0) as it is for the graph of G(x) = x².
The shape of the parabola is the same as that of G(x) = x², but it is translated downward by 5 units.
This means that the minimum point (vertex) of F(x) is located 5 units below the minimum point (vertex) of G(x).
Thus, the correct answer is an option (A).
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Use the line segments below to create a triangle with vertices at the following points. (-9,4), (-4,9), (-9,7) y 8 6 Click to add vertices 2 -8 - 6 - 4 2 4 6 8 -4 -6- -8 just send me a picture back please thank you
Answer:
Step-by-step explanation:
Este. DVD ex xxx xxx
Indicate the method you would use to prove the two 's . If no method applies, enter "none".
SSS
ASA
SAS
AAS
None
The method you would use to prove the two triangles are congruent include the following: B. ASA.
What are the properties of similar triangles?In Mathematics and Geometry, two (2) triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.
Additionally, the lengths of corresponding sides are proportional to the lengths of corresponding altitudes when two (2) triangles are similar.
In Mathematics and Geometry, ASA is an abbreviation for Angle-Side- Angle and it states that when two (2) angles and their included side in two (2) triangles are congruent, then the triangles are said to be congruent.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
you did not provide enough information to answer the question
Chapter 6 Introduction to Variables and Evaluating Expression
Mathematics, Algebra 1
Question 1
Simplify: -2s - 9+7 - 5r use s = 3 and r= -8
You are a teacher, your classroom has 3 bulleting board that measure 6 feet by 6 feet each. You can to put a decorative border around each bulletin board. You will buy rolls of border that contain 20 feet per roll 2
First, we find the perimeter of each board by adding their sides
\(P=6+6+6+6=24ft\)The perimeter of each board is 24 feet long.
Then,
\(24\times3=72ft\)The teacher would need 72 feet to decorate all three boards.
If each roll has 20 feet, then there would be needed 4 rolls in total to half enough to decorate all three boards.
Hence, the number of rolls is 4.