the Answer is: 34
explanat
What is the volume of the shape below
The volume of the given figure is 1176 cubic cm.
The value of the figure is calculated by multiplying all three side areas. Volume is a measure of the amount of space that an object or a substance occupies. It is typically expressed in cubic units such as cubic meters (m³), cubic centimetres (cm³), or cubic feet (ft³).
The volume of the figure is calculated as,
Volume = 2 ( 15 x 6 + 20 x 6 + 20 x 18 )
Volume = 1176 Cubic cm
Hence, the volume of the figure will be equal to 1176 Cubic cm.
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Fill in each blank so that the resulting statement is trueFor the last box let’s put the quotient
To fill in the blank, we need to do the long division:
Since the division involves fraction, we will be dividing the numerator and denominator by 3 so it makes it easy to divide:
\(\begin{gathered} \frac{12x^3+7x^2+14x\text{ }-7}{3x\text{ - 3}}=\text{ }12x^3+7x^2+14x\text{ }-7\div3x\text{ - 3} \\ \frac{12x^3+7x^2+14x\text{ }-7}{3}\text{ }\div(\frac{3x\text{ - 3}}{3}) \\ \frac{12}{3}x^3+\frac{7}{3}x^2+\frac{14}{3}x\text{ }-\frac{7}{3}\div(\frac{3x}{3}\frac{-3}{3}) \\ =\text{ 4}x^3+\frac{7}{3}x^2+\frac{14}{3}x\text{ }-\frac{7}{3}\div(x-1) \\ =\text{ }\frac{\text{4}x^3+\frac{7}{3}x^2+\frac{14}{3}x\text{ }-\frac{7}{3}}{x\text{ - 1}} \end{gathered}\)\(\begin{gathered} \frac{12x^3+7x^2+14x\text{ }-7}{3x\text{ - 3}}=4x^2\text{ + }\frac{19}{3}x\text{ + 11 + }\frac{\frac{26}{3}}{x\text{ - 1}} \\ \frac{\frac{26}{3}}{x\text{ - 1}}\text{ = }\frac{26}{3}\div\text{ }(x-1)\text{ = }\frac{26}{3}\times\text{ }\frac{1}{x-1} \\ \frac{\frac{26}{3}}{x\text{ - 1}}\text{ =}\frac{26}{3(x\text{ - 1) }}\text{ = }\frac{26}{3x\text{ - 3}} \\ \\ T\text{he result:} \\ \frac{12x^3+7x^2+14x\text{ }-7}{3x\text{ - 3}}=4x^2\text{ + }\frac{19}{3}x\text{ + 11 + }\frac{26}{3x\text{ - 3}} \end{gathered}\)completing the statement:
\(\begin{gathered} \text{Begin the process by dividing }12x^3+7x^2+14x\text{ }-7\text{ by }3x\text{ - 3}, \\ which\text{ obtains }4x^2\text{ + }\frac{19}{3}x\text{ + 11 + }\frac{26}{3x\text{ - 3}}\text{. } \\ \text{Write this result above the quotient in the dividend} \\ \\ \text{obtains }4x^2\text{ + }\frac{19}{3}x\text{ + 11 as quotient and }26\text{ as remainder} \\ \end{gathered}\)
help me please uhm yeah
X.X.X.X = ? (1 point)
O x(x + 4)
4x
OxA
O x + 4
Answer:
x^4 is the answer
Step-by-step explanation:
x to the power 4 is answer
Please HELP!!!
Will give 15 points!!
For a test that’s due today!!
Answer:
A
Step-by-step explanation:
For a right triangle
\(A=\frac{ab}{2} \\\frac{(10.4)(15.3)}{2} =79.56\)
This is the same as the other triangle because they are the same size because of congruency
Area of the rectangle
\(a^2+b^2=c^2\\\)
\(\sqrt{(10.4^2+15.3^2} =c\)
\(c= 18.5\)
18.5 x 7 = 129.5
Add them all up
129.5+79.56+79.56= 288.62
I GIVEEEE BRSINLILST
Answer:
X=5
Step-by-step explanation:
20/4
noah has a part-time job at a coffee shop. last month he earned 160$. Noah pays an income tax rate of 10%. how much does Noah earn after tax?
Step-by-step explanation:
first of all, if he continuously earns only $160 per month (or at least in that dimension), then he will not have to pay any income tax.
but to do the exercise :
100% = $160
1% = 100%/100 = 160/100 = $1.60
10% = 1% × 10 = 1.6 × 10 = $16
he earns after tax
160 - 16 = $144
FYI :
when we combine all the calculations above into one sequence, then we know
100% - 10% = 90%
and 90% of 100% is 100% × 0.9
and so he earns after tax
160 × 0.9 = $144
A basketball has a diameter of 8 inches. What is the distance around it?
Assuming that the distance arund it refers to the circumference of a circle with the same radius, then, remember that the circumference of a circle is equal to π times its diameter:
\(C=\pi D\)Since the diameter is 8 inches, then:
\(\begin{gathered} C=\pi\times8\text{in} \\ =25.13274123\ldots\text{in} \\ \Rightarrow C\approx25.1in \end{gathered}\)Therefore, the distance around it is approximately 25 inches.
Part A (1 point)
Determine the area, in square feet, of one triangular
face of the square pyramid. Show your work or
explain your answer.
Part B (1 point)
Determine the total surface area, in square feet, of the
square pyramid. Show your work or explain your
answer
Answer:
A. 320 ft²
B. 2,304 ft²
Step-by-step explanation:
A. Area of one triangular face = area of triangle = ½*b*h
Where,
b = 32 ft
h = 20 ft
A = ½*32*20 = 16*20
A = 320 ft²
Area of 1 triangular face = 320 ft²
B. Total surface area = area of the 4 triangular face + area of the base of the square pyramid
T.S.A = 4(320) + (s²)
Where,
s = 32 ft
T.S.A = 4(320) + (32²)
T.S.A = 1,280 + 1,024
= 2,304 ft²
If the data below were represented with a stem-and-leaf plot, a stem of 2
would have how many leaves?
17, 22, 53, 74, 42, 62, 93, 12, 67, 29, 50
The stem of 2 would have 4 leaves in the data represented with a stem-and-leaf plot.
What is a stem-and-leaf diagram?
A stem-and-leaf plot is a way of organizing and presenting data in a table. Each data value is split into a "stem" and a "leaf."
The stem represents the tens digit of the data value, and the leaf represents the ones digit.
In the data given, the stem of 2 would include all data values whose tens digit is 2. This includes the data values 22, 42, 62, and 74.
Therefore, the stem of 2 would have 4 leaves.
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find the value of x and the measure of angle axc
Answer:
x = 4
m<AXC = 150
Step-by-step explanation:
m<1 + m<2 = m<AXC
102 + 10x + 8 = 6(6x + 1)
10x + 110 = 36x + 6
26x = 104
x = 4
m<AXC = 6(6x + 1)
m<AXC = 6(24 + 1)
m<AXC = 150
With your team, create a piecewise-defined function with at least three “pieces.” The function does not need to be a step-function with horizontal line segments, but it needs to meet the definition of a function. Make a table and a graph for your function, and write an equation for each part. Be sure to state the domain for each part, as well as the domain for the whole function.
On solving the provided question we can say that The following is the data table of the function.
what is function?The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.
here,
the provided functions that can be formed are
x -infinity < x < -10
f(x) = 2x + 10 -10 < x < 10
4X - 10 10 < x < infinty
The following is the data table of the function.
x y
-20 -20
-15 -15
-10 -10
-5 0
0 10
5 20
10 30
15 50
20 70
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An example of the piecewise defined function is: \(f(x)= \begin{cases}x & -\infty < x \leq-10 \\ 2 x+10 & -10 < x \leq 10 \\ 4 x-10 & 10 < x < \infty\end{cases}\)
what is function?The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output.
A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or range.
Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.
The following is the data table of the function.
x y
-20 -20
-15 -15
-10 -10
-5 0
0 10
5 20
10 30
15 50
20 70
The provided functions that can be formed are
\(f(x)= \begin{cases}x & -\infty < x \leq-10 \\ 2 x+10 & -10 < x \leq 10 \\ 4 x-10 & 10 < x < \infty\end{cases}\)
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Ben's Barbershop has a rectangular logo for their business that measures 7(1)/(5) feet long with an area that is exactly the maximum area allowed by the building owner. Create an equation that could be used to determine M, the unknown side length of the logo.
An equation that could be used to determine M, the unknown side length of the logo is X = (36/5) x M
Let's assume that the unknown side length of the logo is 'M'. The logo is a rectangle, and the area of a rectangle is given by multiplying its length and width. Since we know the length of the logo is 7(1)/(5) feet, we can write the equation:
A = L x W
where A is the area of the logo, L is the length of the logo, and W is the width of the logo.
Substituting the given values, we get:
A = (7(1)/(5)) x M
or
A = (36/5) x M
Now, we know that the area of the logo is exactly the maximum area allowed by the building owner. Let's assume this maximum area is 'X'. So, we can write another equation:
A = X
Combining both equations, we get:
X = (36/5) x M
This is the required equation that could be used to determine the unknown side length 'M' of the logo if we know the maximum area allowed by the building owner 'X'.
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Draw the image of figure RSTU after a translation 2 units left and 2 units down and a reflection across the y-axis.
Answer:Just slide it to the left and 2 units down then plot the points Step-by-step explanation:
Answer:
Step-by-step explanation:
Slide it to the left and 2 units down
Need steps to 1/r+s=1/t than s=
Answer:
s = 1/t - 1/r
Step-by-step explanation:
1/r+s=1/t
Subtract 1/r from each side
1/r - 1/r+s=1/t- 1/r
s = 1/t - 1/r
Answer:
\(\huge{\boxed{s=t-r}}\)
Step-by-step explanation:
if
\(\dfrac{1}{r+s}=\dfrac{1}{t}\qquad\text{cross multiply}\\\\(1)(t)=(1)(r+s)\\\\t=r+s\qquad\text{subtract}\ r\ \text{from both sides}\\\\t-r=r-r+s\\\\t-r=s\to\boxed{s=t-r}\)
What is an example of "A one-to-one function of P onto Q is an isomorphism of P and Q "?
An example of a one-to-one function that is an isomorphism between sets P and Q is the function f: P -> Q defined as f(x) = 2x, where P and Q are the sets of integers.
How to Identify a One-to-One Function?An example of a one-to-one function that is an isomorphism between sets P and Q is the function f: P -> Q defined as f(x) = 2x, where P and Q are the sets of integers.
This function is one-to-one because for every element x in P, there is a unique element 2x in Q. It is onto because every element y in Q has a preimage x in P such that f(x) = y (e.g., y/2 = x).
Furthermore, this function preserves the group structure between P and Q, as it satisfies the properties of an isomorphism. In this case, the group structure is addition, and the function f preserves addition: f(x + y) = 2(x + y) = 2x + 2y = f(x) + f(y) for all x, y in P.
Therefore, the function f: P -> Q defined as f(x) = 2x is an example of a one-to-one function that is an isomorphism between sets P and Q.
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The depth of water at the end of a pier varies with the tides. The low tides occur on a particular day at 2:00 a.m. and 2:00 p.m. with a depth of 1.1 m. The high tides occur at 8:00 a.m. and 8:00 p.m. with a depth of 5.3 m. A large boat needs at least 3 m of water to be safely secured at the end of the pier. What is the first time in the morning that is it safe for the boat to be tied to the pier
Answer:
4:42 a.m.
Step-by-step explanation:
The earliest low tide occurs by 2:00 a.m. and the earliest high tide occurs by 8:00 a.m.
Between these hours, 6 hours elapsed.
The lowest point is 1.1 m and increases steadily to 5.3 m.
Let us take 2:00 a.m. as the zeroth hour, and 8:00 a.m. as the 6th hour, we can safely interpolate as below,
0 = 1.1 m
x = 3 m
6 = 5.3 m
we solve as \(\frac{x - 0}{6 - 0}\) = \(\frac{3 - 1.1}{5.3 - 1.1}\)
\(\frac{x}{6}\) = \(\frac{1.9}{4.2}\)
4.2x = 11.4
x = 2.71 hours from 2:00 a.m.
= 2 hrs + (0.71 x 60)min = 2 hrs 42.6 min
the time will approximately be by 4:42 a.m.
Which of the following is the equation of the function f(x) graphed above? A. ƒ(x) = x(x − 2)²(x − 1)(x + 1) B. f(x) = (x - 2) (x − 1)(x + 1) c. f(x)= x(x - 2)²(x − 1)(x + 1) + 1)² D. f(x) = (x - 2)²(x - 1)(x - 1)^ E
When a constant force is applied to an object, the acceleration of the object varies inversely with its mass. When a certain constant force acts upon an object
with mass 4 kg, the acceleration of the object is 9 m/s². When the same force acts upon another object, its acceleration is 6 m/s². What is the mass of this
object?
Step-by-step explanation:
a = k/m or ma = k
using 4 and 9 4* 9 = k = 36
then the equation becomes:
ma = 36
using a = 6
6 * m = 36 shows m = 6 kg
A neighborhood is trying to set up school carpools, but they need to determine the number of students who need to travel to the elementary school (ages 5-10), the middle school (ages 11-13), and the high school (ages 14-18). A histogram summarizes their findings:
Histogram titled Carpool, with Number of Children on the y axis and Age Groups on the x axis. Bar 1 is 5 to 10 years old and has a value of 3. Bar 2 is 11 to 13 years old and has a value of 7. Bar 3 is 14 to 18 years old and has a value of 4.
Which of the following data sets is represented in the histogram?
{3, 3, 3, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 4}
{5, 10, 4, 11, 12, 13, 12, 13, 12, 11, 14, 14, 19, 18}
{5, 6, 5, 11, 12, 13, 12, 13, 14, 15, 11, 18, 17, 13}
{3, 5, 10, 11, 13, 7, 18, 14, 4}
The correct answer is that the data set {3, 7, 4} is represented in the given histogram.(option-a)
The given histogram represents the number of children in each age group who need to travel to school. Since the histogram has only three bars, we can conclude that there are only three age groups.
The first bar represents children aged 5-10, of which there are 3. The second bar represents children aged 11-13, of which there are 7. The third bar represents children aged 14-18, of which there are 4.
Therefore, the data set that is represented in the histogram is:
{3, 7, 4}
None of the other data sets given match the values in the histogram. The first data set has duplicate values and is not sorted by age group. The second data set includes ages that are not represented in the histogram. The third data set has values for ages 6, 11, 12, 13, 14, 15, 17, and 18, but the histogram does not have bars for all those ages. (option-a)
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a circle and triangle are in a shaded rectangle.the circle has a radius of 1cm and the triangle has a base of 3cm and a line down the middle of 4cm.the triangle has a length of 9cm and a height of 5cm. Find the probability of a point chosen randomly inside the rectangle is in each given shape.Please round all answers to the nearest whole number.the points of probability are the triangle,the circle, the triangle or the circle,not the triangle.
1. The probability that the point is on the triangle is 2/15
2. The probability that the point is in the circle is 1/15
3. The probability that the point is in the circle or triangle is 3/15
4. The probability that the point is not triangle is 13/15
What is probability?A probability is a number that reflects the chance or likelihood that a particular event will occur. The certainty of an event is 1 and it is equivalent to 100% in percentage.
Probability = sample space / Total outcome
sample space is the area of the shapes
Area of triangle = 1/2 bh
= 1/2 × 3 × 4
= 3 × 2 = 6cm²
area of circle = πr²
= 3.14 × 1² = 3.14
= 3( to whole number)
Total outcome is the area of rectangle
= l× w = 9 × 5 = 45 cm²
1. The probability that the point is on the triangle is 6/45 = 2/15
2. The probability that the point is in the circle is
= 3/45 = 1/15
3. The probability that the point is in the circle or triangle = 1/15 +2/15 = 3/15 = 1/5
4. The probability that the point is not triangle is
= 1-2/15 = 13/15
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which expression is equivalent to -9(3y + 5) - 3y
There are many expressions that are equivalent to the given expression. Nevertheless, we can find a fully simplified equivalent expression by using the properties of real numbers.
Starting with the given expression:
\(-9(3y+5)-3y\)Use the distributive property to expand the parenthesis:
\(\begin{gathered} -9(3y+5)-3y=-9(3y)-9(5)-3y \\ =-27y-45-3y \end{gathered}\)Then, combine like terms -27y and -3y by adding their coefficients:
\(-27y-45-3y=-30y-45\)Therefore, the given expression is equivalent to:
\(-30y-45\)hewp pleeeaaassssssseeee. I need it asap. the one to get correct earns crown :)
Answer:
36
Step-by-step explanation:
12*3 = 6+30 = 36
La temperatura ambiente a las 6 am era de 59 grados Farenheit. Fue aumentando de forma lineal hasta la 1 pm en que el termómetro marcó 81 grados.
a) Escriba una ecuación lineal que muestre la temperatura en función de la hora en ese intervalo.
b) Calcule con esa ecuación la temperatura a las 11:15 am. Aproxime a la décima de grado Farenheit si fuera necesario.
The linear function that represent this problem is 7y = 22x + 127, and the temperature at 11:15am is 53.19 degrees
What is the linear equationa.
We can take two points from this to find the slope and y - intercept to determine the linear function.
A(6, 59)
B(13, 81)
The slope of a linear equation has a formula of ;
m = y₂ - y₁ / x₂ - x₁
m = 81 - 59 / 13 - 6
m = 22/7
Using the slope to find the y - intercept, we need just one point;
y = mx + c
59 = 22/7(13) + c
59 = 286/7 + c
c = 59 - 286/7
c = 127/7
The equation can be written as;
y = 22/7x + 127/7
rewriting this;
7y = 22x + 127
b. The temperature at 11.15am
Substituting this into the equation;
7y = 22(11.15) + 127
7y = 372.3
y = 53.19 degrees Fahrenheit
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Translation:
The room temperature at 6 am was 59 degrees Fahrenheit. It was increasing linearly until 1 pm when the thermometer marked 81 degrees. a) Write a linear equation that shows the temperature as a function of time in that interval. b) Calculate with this equation the temperature at 11:15 am. Round to the nearest tenth of a degree Fahrenheit if necessary.
You would like to have $20,000 to use a down payment for a home in five years by making regular, end-of-month deposits into an annuity that pays 6% interest compounded monthly.
How much should you deposit each month?
Round your answer to the nearest cent. Do not include the dollar sign in the answer box below.
The amount that should be deposited monthly is $286.66.
What is a monthly deposit?The monthly deposit is the periodic payment into an investment account that earns interest at a compound rate.
The monthly deposit can be determined using an online finance calculator.
N (# of periods) = 60 months (5 years x 12)
I/Y (Interest per year) = 6%
PV (Present Value) = $0
FV (Future Value) = $20,000
Results:
Monthly Deposit = $286.66
Sum of all periodic deposits = $17,199.36
Total Interest = $2,800.64
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here
i need help with this
Answer:
i cant see the whole problem
Step-by-step explanation:
Five more than the product of a number and six is equal to nine
Answer:
Think about the PEMDAS rules for order of operations.
Multiplication comes before addition or subtraction, so first we have "the product of a number and 5" - that's 5x. Then "six more" than that would be 5x + 6. "Equals" means the "=" sign, so the final answer is 5x + 6 = 8.
You are choosing between two health clubs. Club A offers membership for a fee of $25 plus a monthly fee of $17. Club B offers membership for a fee of $21 plus a monthly fee of $18. What will be the total cost for each club?
Answer:
Club A is $42 a month and Club B is $39 a month
Step-by-step explanation:
$24 + $17=$42
$21+$18=$39
Let A be a 4x4 matrix and suppose that det(A)5. For each of the following row operations, determine the value of det(B), where B is the matrix obtained by applying that row operation to A Add times row 3 t0 row Interchange rows 4 and 2 Multiply row 2 by 5 Resulting values for det(B): det(B) b) det(B) det(B)
For the given matrix, the value of det(B) is 25.
Suppose we have a 4x4 matrix A and its determinant is 5. The determinant is a scalar value that can be computed from the elements of a square matrix. The determinant of a matrix is a crucial property that provides us with essential information about the matrix's invertibility, eigenvalues, and more.
First, suppose we add a multiple of row 3 to row 2, resulting in matrix B. The determinant of B will be the same as the determinant of A since adding a multiple of one row to another does not affect the determinant of the matrix.
Second, suppose we interchange rows 4 and 2 of matrix A, resulting in matrix B. Interchanging two rows changes the sign of the determinant. Hence, the determinant of B will be -5.
Finally, suppose we multiply row 2 of matrix A by 5, resulting in matrix B. Multiplying a row by a constant multiplies the determinant by that constant.
Therefore, the determinant of B will be 25.
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A survey of 400 students yielded the following information: 262 were seniors, 215 were commuters, and 150 of the seniors were commuters. How many of the 400 surveyed students were seniors or were commuters?
Out of the 400 surveyed students, 327 were either seniors or commuters.
To find the number of students who were either seniors or commuters out of the 400 surveyed students, we need to add the number of seniors and the number of commuters while avoiding double-counting those who fall into both categories.
According to the information given:
There were 262 seniors.
There were 215 commuters.
150 of the seniors were also commuters.
To avoid double-counting, we need to subtract the number of seniors who were also commuters from the total count of seniors and commuters.
Seniors or commuters = Total seniors + Total commuters - Seniors who are also commuters
= 262 + 215 - 150
= 327
Therefore, out of the 400 surveyed students, 327 were either seniors or commuters.
It's important to note that in this calculation, we accounted for the overlap between seniors and commuters (150 students who were both seniors and commuters) to avoid counting them twice.
This ensures an accurate count of the students who fall into either category.
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