Calculator
What is the value of x?
8 in.
15 in.
Enter your answer in the box.
5 in
X=
in.
Answers
Answer:
x = 24 in
Step-by-step explanation:
The corresponding sides of similar triangle will be in same proportion.
\(\frac{x}{8}=\frac{15}{5}\\\\\frac{x}{8}=3\\\\x = 3*8\\x = 24\)
Step-by-step explanation:
x/15 = 8/5
x = 15 * 8 / 5
x = 24
answer
x = 24 in
Related Questions
-5p = -40 solve for t
Answers
Answer:
p = 8
Step-by-step explanation:
Divide -5 to both sides
-5p = -40
5p = 40
p = 8
So p = 8
Which pair shows equivalent expressions? A. 3(x+2)=3x+6 B. 3x+2x=x squared(3+2) C. 3x+2=3(x+2) D. -3(2+x)=-6x-3
Answers
Answer: A.
Step-by-step explanation: we just need to distribute and see that the only plausible answer is a because when distributed it equals 3x=6
One week, Claire earned $395.00 at her job when she worked for 25 hours. If she is paid the same hourly wage, how many hours would she have to work the next week to earn $126.40?
Answers
If she is paid the same hourly wage, she would work for 8 hours the next week to earn $126.40.
Given, Claire earned money = $395.00
Total number of hours she worked = 25 hours.
money earned per hour = total money earned/total number of hours she worked.
= 395/25
= 79/5
= 15.8
therefore, Claire earned $15.8 per hour.
How many hours would she need to work the next week to earn $126.40 at the same hourly rate?
Let the number of hours she need to work to get $126.40 be x.
⇒ money earned per hour × number of hours worked = total money earned.
⇒ 15.8 × x = 126.40
⇒ x = 126.40/15.8
⇒ x = 8
hence she have to work 8 hours to earn $126.40 .
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42
== (3)
b= (10)
Write a + b- c as a column vector
Answers
The column vector is discussed below.
What is column vector?In order to write a vector as a column vector: Work out the horizontal component ( x component). Work out the vertical component ( y component). Write the column vector.
Given:
a + b- c
So, If the number is positive, the direction is to the right.
If the number is negative, the direction is to the left.
Also, If the number is positive, the direction is upwards.
If the number is negative, the direction is downwards.
So, according to that 'a' will be in right ( upward) direction and 'b' also be in right ( upward) direction.
Then, 'c' is negative in left ( downward ) direction.
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√3r times 5√q does anybody know how to write rhis as a single radical expression?
Answers
Answer:
5√3q
Step-by-step explanation:
we use the properties of radicals to solve. you need to multiply what is under the square root sign to get the final answer
√3 X 5√q
A college student has budgeted $25 a month for phone services. If the telephone
company charges $17 a month for basic service and $0.05 a minute for each long
distance call, how many minutes can be spent on long distance calls each month?
(Define a variable, create an equation, solve using algebra, and answer in a sentence.)
Answers
Answer:
160 minutes can be spent on long distance calls each month.
Step-by-step explanation:
first we know that there is standard charge of $17 for basic service, $0.05 cost per minute with a budget of $25.
let's write that into an equation to solve for (a) which will be number of minutes.
17 + a(0.05) = 25
solving:
17 + a(0.05) = 25
carry across the 17 whilst changing the sign, or some people is also thought to minus on both sides to get rid of a certain variable.
a(0.05) = 25 - 17
a(0.05) = 8
carry across the multiplication of 0.05 which will then turn into division, or divide by 0.05 on both sides to remove it.
\(a = \frac{8}{0.05} \)
a = 160
therefore 160 minutes can be spent on long distance calls each month.
You can redefine your answer more simply to hours by dividing by 60, which gives 2 hours and 40 minutes
Explain in detail using words the step by step process that Maggie took to solve the problem 6.89 x 10^-4 / 7.5 x 10^-6 = .92 x 10^1
Answers
The steps in solving the given expression shows that the result is:
0.92 * 10²
How to use Laws of Exponents?The expression is given as:
6.89 * 10⁻⁴/(7.5 * 10⁻⁶) = 0.92 * 10¹
The steps that Maggie followed are:
Step 1: Rewrite the given expression:
6.89 * 10⁻⁴/(7.5 * 10⁻⁶) = 0.92 * 10¹
Step 2: Divide the coefficients:
The coefficient of the numerator (6.89) is divided by the coefficient of the denominator (7.5) to get:
6.89 / 7.5 = 0.9186667.
Step 3: Divide the powers of 10:
This is done by subtracting the exponent of the denominator 10⁻⁶ from the exponent of the numerator 10⁻⁴ to get: 10²
Step 4: Combine the results:
This gives:
0.9186667 * 10²
Step 5: Simplify the coefficient:
She rounded the coefficient (0.9186667) to two decimal places, resulting in 0.92.
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Which of the following coordinates of points belong to the solution set of the inequality y <2x² +3x - 5?
A.(-3,2)
B.(-2,9)
C.(1,6)
D.(3,1)
E. (-1.5)
Answers
Answer:
A , DStep-by-step explanation:
Check the inequality for each point.
For A. (-3,2)
\(y < {2x}^{2} + 3x - 5 \\ 2 < {2 ( - 3)}^{2} + 3( - 3) - 5 \\ 2 < 2 \times 9 - 9 - 5 \\ 2 < 18 - 9 - 5 \\ 2 < 4 \\ \)
The inequality is satisfied.
For B. (-2,9)
\(y < {2x}^{2} + 3x - 5 \\ 9 < 2 {( - 2)}^{2} + 3( - 2) - 5 \\ 9 < 2(4) - 6 - 5 \\ 9 < 8 - 6 - 5 \\ 9 < - 3 \\ \)
The inequality is not satisfied.
For C. (1,6)
\(y < {2x}^{2} + 3x - 5 \\ 6 < {2(1)}^{2} + 3(1) - 5 \\ 6 < 2(1) + 3 - 5 \\ 6 < 2 + 3 - 5 \\ 6 < 0\)
The inequality is not satisfied.
For D. (3,1)
\(y < {2x}^{2} + 3x - 5 \\ 1 < {2(3)}^{2} + 3(3) - 5 \\ 1 < 2(9) + 9 - 5 \\ 1 < 18 + 9 - 5 \\ 1 < 22 \\ \)
The inequality is satisfied.
For E. (-1,5)
\(y < {2x}^{2} + 3x - 5 \\ 5 < {2( - 1)}^{2} + 3( - 1) - 5 \\ 5 < 2(1) - 3 - 5 \\ 5 < 2 - 3 - 5 \\ 5 < - 6 \\ \)
The inequality is not satisfied.
Find the complete factored form of the
polynomial :
-8m²n-7m² nª
Enter the correct answer.
Answers
The polynomial -8m²n - 7m²n can be factored using the common factor -m²n. The complete factored form of the polynomial is (-m²n) (8 + 7a).
To find the complete factored form of the polynomial -8m²n - 7m²n, we can factor out common terms from both the terms. The common factor in the terms -8m²n and -7m²n is -m²n. We can write the polynomial as:
-8m²n - 7m²n = (-m²n) (8 + 7a)
Therefore, the complete factored form of the polynomial -8m²n - 7m²n is (-m²n) (8 + 7a). This expression represents the original polynomial in a multiplied form. We can expand this expression using distributive law to verify that it is equivalent to the original polynomial.
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2 divided by blank = 8
Answers
Answer:
16
Step-by-step explanation:
A hot air balloon rose from ground level to 1000 feet in order to pass over a mountain. The balloon then descended 800 feet to a cruising height.
A number line going from negative 1000 to positive 1000 in increments of 100. The line has points negative 1000, blank, A, blank, blank, negative 500, blank, blank, B, blank, 0, blank, C, blank, blank, 500, blank, blank, D, blank, 1000.
Which point is a representation of cruising height in feet?
Point A
Point B
Point C
Point D
Answers
Answer:
Point C.
Step-by-step explanation:
Hope this helps!
Answer:
c
Step-by-step explanation:
hope i helped hehe :)
P is the midpoint of NO and equidistant from MN and MO. If M=8i+3j and no = 4i-5j Find MP
Answers
The position vector of point P, MP, is given by MP = 6i - j.
To find the position vector of point P, which is the midpoint of NO, we can use the midpoint formula.
The midpoint formula states that the midpoint of a line segment with endpoints (x₁, y₁) and (x₂, y₂) is given by:
Midpoint (Mᵖ) = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)
Let's find the position vector of point P using the given information:
Point N: N = 4i - 5j
Point O: O = 8i + 3j
Using the midpoint formula, we can find the coordinates of point P:
x-coordinate of P: (x₁ + x₂) / 2 = (4i + 8i) / 2 = 12i / 2 = 6i
y-coordinate of P: (y₁ + y₂) / 2 = (-5j + 3j) / 2 = -2j / 2 = -j
Therefore, the position vector of point P, MP, is given by:
MP = 6i - j
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What is the degree of the polynomial 3xy^2z-2z^5+2/3y^2z^4?
Answers
Answer:
i got 6 sorry if wrong
Step-by-step explanation:
a. Find a power function that models the data below.
b. Find a linear function that models the data
c. Visually determine which model is a better fit.
0
х
y
1
2
2
7
3
13
4
22
5
32
6
44
a. The power function is y=0
(Use integers or decimals for any numbers in the expression. Round to the nearest thousandth as needed)
Answers
Using Visual inspection, the model which fits the data in the distribution better is the power function.
The power and linear functions can of the data can both be modeled using technology,
Using Technology :
The power function in the form \( y = Ax^{B} \) which models the data is \( 1.926x^{1.662} \)
The linear function in the form \(y = Bx + A \) which models the data is \( y = 7.429x - 8.333\)
Where A = intercept and B = slope From the model, correlation coefficient given by the power and linear models are 0.999 and 0.986 respectively. Hence, the power model is a better fit for the data than the linear model.Therefore, Inspecting the models visually, the power function fits the data better as the points on the curve are closer to the regression line than on the linear model.
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A triangular pane of glass has a height of 32 inches and an area of 352 square inches. What is the length of the base of the pane?
Answers
The required length of the base of the triangular pane of glass is 22 inches.
We know that the formula for the area of a triangle is:
Area = 1/2 * base * height
We are given that the height of the triangular pane of glass is 32 inches and the area is 352 square inches. Substituting these values into the formula, we get:
352 = 1/2 * base * 32
Multiplying both sides by 2 and dividing by 32, we get:
base = 22
Therefore, the length of the base of the triangular pane of glass is 22 inches.
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For a géometric sequence, if a1=9 and a5
=2304, what is the value of r?
Answers
The value of common ration r is 4.
Given that,
a₁ = 9
a₅ = 2304
We know that,
A geometric sequence is a sequence in which each term (except from the first term) is multiplied by a fixed amount to obtain the following term.
The following term in the geometric sequence must be obtained by multiplying it by a set term (referred to as the common ratio), and the previous term in the sequence can be obtained by dividing it by the same common ratio.
Since we know that nth term of GP is,
\(a_{n}\) = a₁ \(r^{n-1}\)
Therefore,
a₅ = a₁ \(r^{4}\) = 2304
⇒ 9 x \(r^{4}\) = 2304
⇒ \(r^{4}\) = 256
⇒ r = 4
Hence, r = 4
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Compute the required rate of return on two stocks with beta values of 0.5 and 2 respectively assuming the risk-
free rate of 5% and the market return of 10% using the capital asset pricing model. Please show work. Thank you.
Answers
The required rate of return for the stock with a beta of 0.5 is 7.5% and for the stock with a beta of 2 is 15%.
What is Rate of return?Rate of return is the amount of profit or loss earned on an investment over a certain period of time, expressed as a percentage of the initial investment or total asset value.
What is stock?A stock is a type of security that represents ownership in a company. Investors buy stocks to become shareholders and share in the company's profits and losses.
According to the given information:
The Capital Asset Pricing Model (CAPM) is expressed as:
R = Rf + beta*(Rm - Rf)
Where:
R = Required rate of return
Rf = Risk-free rate of return
beta = Beta coefficient (systematic risk)
Rm = Expected market return
Using the given values, we can compute the required rate of return for each stock:
Stock with beta of 0.5:
R = 5% + 0.5*(10% - 5%)
R = 7.5%
Stock with beta of 2:
R = 5% + 2*(10% - 5%)
R = 15%
Therefore, the required rate of return for the stock with beta of 0.5 is 7.5%, and the required rate of return for the stock with beta of 2 is 15%.
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Each of the following functions f,g,h, and h represents the amount of money in a bank account in dollars as a function of time x, in years they are each written in form m(x)= a•b
Answers
Answer:
f(x) : exponential growth
g(x); exponential growth
h(x): exponential growth
j(x): exponential decay
Step-by-step explanation:
In an exponential function such as
\(m(x) = a \cdot b^x\)
the factor that determines whether it is a growth or decay function depends entirely on the value of b since x cannot be negative
If b > 1, it is a growth function
If b < 1 then it is a decay function
If b = 1 neither growth or decay function values are constant
In this context
f(x) has b = 2 > 1 . Hence it is a growth function
g(x) has b = 3 > 1 hence growth function
h(x) has be = 3/2 > 1; hence growth function
j(x) has be = 0.5 < 1 hence decay function
Answer:
O f(x) : exponential growth
O g(x); exponential growth
O h(x): exponential growth
O j(x): exponential decay
Step-by-step explanation: I used to do this before :)
Please indicate which one is the minimal complete set of relational algebra operations in the following: a. {0, 1, U, -, 1} b. {0, T, U, n, x} c. {0, 1, 0, -, *}d. {C, T, U, -, *}
Answers
D i.e. {C, T, U, -, *} is the minimal complete set of relational algebra operations.
What is relational algebra?
Relational Algebra is a query language that takes a Relation as input and returns another Relation as output. Relational algebra provides the theoretical basis for relational databases and SQL. The necessary column data for a relation is projected via projection.
Now,
As Five basic operations in relational algebra are : Selection, Projection, Cartesian product, Union, and Set Difference and all these are present in
{C, T, U, -, *}.
Hence,
D i.e. {C, T, U, -, *} is the minimal complete set of relational algebra operations.
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PLEASEEEEEEEEEEEEE HELPPPP
Answers
The total area of the regions between the curves is 4.5 square units
The graph is attached
Calculating the total area of the regions between the curvesFrom the question, we have the following parameters that can be used in our computation:
y = x² - 6x + 9 and y = x - 1
With the use of graphs, the curves intersect at
x = 2 and x = 5
So, the area of the regions between the curves is
Area = ∫x² - 6x + 9 - x + 1
This gives
Area = ∫x² - 7x + 10
Integrate
Area = x³/3 - 7x²/2 + 10x
Recall that x = 2 and x = 5
So, we have
Area = [2³/3 - 7(2)²/2 + 10(2)] - [5³/3 - 7(5)²/2 + 10(5)]
Evaluate
Area = 4.5
Hence, the total area of the regions between the curves is 4.5 square units
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Find the volume of the figure. For calculations involving , give both the exact value and an approximation to the nearest hundredth of a unit. Let d = 10 and h = 18.
________ ft3 ≈ _________ft3
Answers
Thus, the volume of cylinder with the given height and diameter is found as 1413 ft³.
Explain about the shape of cylinder:A cylinder is three-dimensional. It's not a flat thing. There are parallel circular bases in this shape. These bases have a curved face affixed to them. A cylinder in this instance has three faces. Along both end of a curved face, which rounds back to the face's origin, are two spherical bases.
Given that-
diameter d = 10 ftRadius r = 10/2 = 5 ftHeight h = 18 ftVolume of cylinder = πr²h
Volume of cylinder = 3.14 *5²*18
Volume of cylinder = 3.14*25*18
Volume of cylinder = 1413 ft³
Thus, the volume of cylinder with the given height and diameter is found as 1413 ft³.
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My choices are
38
62
102
150
Answers
Answer:
B. \(x = 62\)
Step-by-step explanation:
In order for m to be parallel to n, those two angles given have to be equal to each other according to the corresponding angles theorem converse.
\(3x-36=2x+26\\\)
Same to both sides:
\(x = 62\)
Supervisor: "I need you to increase the number of customers you talk to daily by
20%."
Employee: "I talk to an average of 8 customers per hour during an 8 hour shift so
now I'll need to talk to customers per day."
68
77
85
97
160
NEXT
Answers
Answer:
77
Step-by-step explanation:
Currently:
Talk to 8 customers per hour, work 8 hours, so:
Talk to 8*8 = 64 customers.
With the increase:
Has to increase by 20%, so 64 is multiplied by 1 + 0.2 = 1.2. Then
64*1.2 = 76.8
Rounding up, 77 is the answer.
the difference between two numbers is 10 and their sum is four times the smaller number. find the two numbers
Answers
Answer:
The smaller number is 5.
The bigger number is 15.
Step-by-step explanation:
Let the smaller number be x and the bigger number be x+10.
x+x+10 = 4x
2x+10 = 4x
10 = 4x-2x
2x = 10
x = 10÷2
= 5
x+10 = 5+10
= 15
Line k has an equation of y= 10/3x+9. Line l includes the point ( – 3, – 2) and is parallel to line k. What is the equation of line l?
Answers
The equation of the parallel line which is passing through the point (–3, –2) will be y = (10/3)x + 8.
What is the equation of a parallel line?Let the equation of the line be y = mx + c. Then the equation of the parallel line that is parallel to the line y = mx + c is given as,
y = mx + d
Line k has an equation of y= (10/3)x+9. Line l includes the point (–3, –2) and is parallel to line k.
y = (10/3)x + d
The equation of the line is passing through (–3, –2). Then the equation of the parallel line is given as,
–2 = (10/3)(–3) + d
–2 = –10 + d
d = 10 – 2
d = 8
The equation of the parallel line which is passing through the point (–3, –2) will be y = (10/3)x + 8.
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3. Mariana has a fish tank that is 30 in x 12 in x 16 in. What unit of measurement should she use for volume?
square inches
cubic feet
cubic inches
pounds
Answers
Answer: cubic inches
Step-by-step explanation: volume is cubed since it is 3 dimensions and it is in inches which are the units given
help asap ty
will possibly mark brainliest.
Answers
Answer:
Step-by-step explanation:
Letter B is the correct answer
Initial population is 200, tripled every hour
200 x 3 = 600
First hour 200
Second hour = 600 + 200 = 800
Third hour 800x3 = 2400 + 800 = 3200
and so on.
A suit is on sale 32% off. The sale price is $221
Answers
Answer:
are you trying to get the discount amount? or the discount off the $221 if so
$221 x .32 = $70.72 discount amount off the sale price $221 which would make the final price $150.28
Step-by-step explanation:
17. 17. The scores for a math test are shown below, ordered from smallest to largest. 60 61 62 63 63 64 64 65 66 66 66 69 72 72 72 74 75 80 82 84 86 86 87 87 89 89 90 93 94 98 Fill out the stem and leaf plot below for this data. Enter the leaves separated by commas (ex: 1,1,2,3). Stems Leaves
Answers
Answer:
Filling the values we have;
Explanation:
Given the data on the given table, we want to fill them in a stem leaves plot.
The tens values would be in the stems while the unit values will be written in their corresponding leaves.
Filling the values we have;
i need help please tell me how to get the answer and the answer please
Answers
Answer:
zero
Step-by-step explanation:
because when u equate both equation ,
-2x-5= -2x+7
or, -2x+2x=7+5
or, 0=12
which is invalid so it has no solution