Answer:
The question you provided is a math problem involving fractions, specifically solving for an unknown quantity using a proportion. Here is how you can solve it:
1/15 = 5/8
To solve for the unknown quantity, you can use cross-multiplication, which means multiplying the numerator of the first fraction by the denominator of the second fraction and vice versa:
1 * 8 = 15 * 5
Simplifying this equation, we get:
8 = 75
This is a contradiction, so the given equation has no solution. Therefore, none of the answer choices (A, B, C, D) are correct.
I hope this helps! If you have any further questions, feel free to ask.
9. If the figure below is made of cubes with 2 cm side lengths, what is its volume? 14 cu. cm. 42 cu. cm. 144 cu.cm 280 cu. cm.
is this correct??
Total volume of shape is =144cu.cm
Formula for Cube VolumeBy knowing the length of the cube's edges, we can quickly determine its volume (V). Assume that "a" is the cube's edge length. The product of length, height, and breadth will then be the V. The cube's volume formula is as follows:
Cube Volume = Length× Width× Height
Volume equals= a× a× a =a³
where "a" denotes the cube's side or edges' length.
GivenLength of each cube = 2cm
Volume of each cube=a³
=2³
=8cm³
Total number of cubes=18
Total volume of shape=18×8
=144 cu.cm
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Leo is drawing a map of the recess area at his school on a coordinate grid. If the scale of the map is 1 grid = 5 feet, what is the distance from the jungle gym to the four-square courts? Round your answer to the nearest tenth if necessary.
if Leo has provided the coordinates of the jungle gym and the four-square courts, we can use the distance formula to calculate the distance between them. the four-square courts are approximately [tex]7.2[/tex] grid units, or 36 feet (since the scale is 1 grid = 5 feet).
What are the coordinates of two points?The distance formula is:
[tex]d = sqrt((x2 - x1)^2 + (y2 - y1)^2)[/tex]
where [tex](x1, y1)[/tex] and [tex](x2, y2)[/tex] are the coordinates of two points, and d is the distance between them.
For example, let's say the jungle gym is located at (3, 4) on the grid, and the four-square courts are located at (9, 8). Using the distance formula, we have:
[tex]d = sqrt((9 - 3)^2 + (8 - 4)^2)[/tex]
[tex]= sqrt(6^2 + 4^2)[/tex]
[tex]= sqrt(36 + 16)[/tex]
[tex]= sqrt(52)[/tex]
[tex]\approx 7.2[/tex]
Therefore, the distance from the jungle gym to the four-square courts is approximately [tex]7.2[/tex] grid units, or 36 feet (since the scale is 1 grid = 5 feet).
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A golfer is standing at the tee, looking up to the green on a hill. If the tee is 38 yards lower than the green and the angle of elevation is 15 degrees, find the distance from the tee to the hole.
Answer:
146.82 yards is the distance from tee to hole.
Step-by-step explanation:
Let A is the position of tee and where the golfer is standing.
C is the position of hole.
CB is the vertical distance between greens and tee.
Angle of elevation,
To find: side AC.
Using trigonometric functions, we know that value of sine is:
[tex]sin\theta=\dfrac{\text{Perpendicular}}{\text{Hypotenuse}}[/tex]
Here [tex]\theta=\angle BAC=15^\circ[/tex]
Perpendicular is side CB.
Hypotenuse is side AC.
[tex]\text{sin}12^\circ=\dfrac{\text{CB}}{\text{AC}}[/tex]
[tex]\implies\text{CB}=\dfrac{38}{\text{sin}15^\circ}[/tex]
[tex]\implies\text{CB}=146.82[/tex]
Hence, 146.82 yards is the distance from tee to hole.
Traveling 65 miles/1 hr, how many minutes will it take to drive 125 miles ?
It would take approximately 115.38 minutes to drive 125 miles at a rate of 65 miles/hour.
How many minutes will it take to drive 125 miles?Speed is simply referred to as distance traveled per unit time.
Mathematically, Speed = Distance ÷ time.
Given that, the speed or rate is 65 miles/1 hr, how many minutes will it take to drive 125 miles.
First, we need to find the time it takes to travel 125 miles at a rate of 65 miles/hour.
We can use the formula:
Speed = Distance ÷ time.
time = distance / rate
time = 125 miles / 65 miles/hour
time = 25/13 hours
Now we can convert hours to minutes by multiplying by 60:
= 25/13 hours × 60 minutes/hour
= 115.38 minutes
Therefore, the required time is approximately 115.38 minutes.
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Write Slope=3 y-intercept=-1/2 in slope intercept form
Answer:
y = 3x - [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = 3 and c = - [tex]\frac{1}{2}[/tex] , then
y = 3x - [tex]\frac{1}{2}[/tex] ← equation of line
What is the answer to x3 y3 z3 k?
Answer:
The equation x3+y3+z3=k is known as the sum of cubes problem.
Step-by-step explanation:
The flag starts at 0 and moves 8 feet right to on the number line. Then the flag moves 12 feet left to on the number line. Then the flag moves 13 feet right to on the number line. Nine is less than 10.
PLEASE HELP
The flag starts at 0 on the number line and moves 8 feet right to 8.
We can calculate this by adding 8 to 0, which gives us 8. Then the flag moves 12 feet left to -4. We can calculate this by subtracting 12 from 8, which gives us -4. Then the flag moves 13 feet right to 9. We can calculate this by adding 13 to -4, which gives us 9. Nine is less than 10, so the flag ends up on the number line at a value less than 10.We can calculate the total distance moved by adding 8 + (-12) + 13, which gives us 9. This means the flag has moved a total of 9 feet. All of these calculations demonstrate that the flag has moved 8 feet right, 12 feet left, and 13 feet right to end up on the number line at 9, which is less than 10.
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Pls help its unit rates n stuff
Answer:
Step-by-step explanation:
1. u would do 315/15 bc y/x=k
2. u would do 81/9
3. u would do 56/2
so basically for the next ones just do the money divided by oz to find the unit rate. Note always do y/x y is the dependent variable and x is the independent variable
Read the image it has the problem
Answer:$59.66
Step-by-step explanation:
How many 50ml can be filled from 5L
si tengo 3657 manzanas y me quitan 84648 pero juan me regala otras 8469 cuantas me quedan para comer?
Answer:
0 (-72522)
Step-by-step explanation:
ahora tienes negativo manzanas
complete part A and B
The corresponding point on the graph is (9, 21). This point is within the normal respiratory rate region, which is defined by the system of linear inequalities. Therefore, model breakdown has not occurred.
The given problem involves the normal respiratory rates of children aged 3 to 15 years. The respiratory rate, measured in breaths per minute, is represented as a function of age using a system of linear inequalities. The graph depicts a normal respiratory rate region that models the respiratory rate ranges shown in the table. The problem requires us to identify a specific point on the graph that corresponds to a respiratory rate of 21 breaths per minute for a 9-year-old child. The ordered pair (9, 21) represents the corresponding point on the graph.
Further, we need to determine if this point lies within the normal respiratory rate region or if model breakdown has occurred. The system of linear inequalities defines the normal respiratory rate region, and we can determine if the point (9, 21) satisfies these inequalities. In this case, the point (9, 21) lies within the normal respiratory rate region and satisfies the system of linear inequalities. Therefore, model breakdown has not occurred, and the given model is an appropriate approximation of the normal respiratory rate region for children aged 3 to 15.
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Find the area of a square that has a side length of 2x + 4. Write your answer in standard
form without any spaces and use ^ to indicate an exponent, if necessary.
As given:
The side of the Square= (2x+
As we know:
The area of a square = Side × side
Putting the values of side in above formula we get:
Area = (2x+4) ×(2x+4)
on solving we get:
Area= 2x×2x + 2x×4 +4×2x + 4×4
Area= 4x^2 + 8x + 8x + 16
Area= 4x^2 + 16x + 16
Hence,The Area of the Square is (4x^2+ 16x +16)
Calculate the rate of power draining per hour if the capacity of the cell phone is 3 600mAh
1. Give the rule for translating a point 4 units left and 8 units up. (2 points)
2. After the translation, where is A located? (2 points)
2. After the translation, where is A located? (2 points) Now reflect the figure over the y-axis. Answer the questions to find the coordinates of A after the reflection. 3. Give the rule for reflecting a point over the y-axis. (2 points)
4. What are the coordinates of A after the reflection? (2 points)
5. Is the final figure congruent to the original figure? How do you know? (2 points)
The image of the original figure after the translation and reflection is congruent to the original figure.
Translation over a point is what?A particular type of transformation on the coordinate plane called translation keeps the size of the point or geometrical shape constant while only changing the position. Along the x-axis and y-axis in the coordinate system, the point or the figure can be moved in any direction, including up, down, right, left, and multiple directions.
1. By taking away 4 from the x-coordinate and adding 8 to the y-coordinate, we can translate a point 4 units left and 8 units up.
2. Point A after translation is situated at (-2, 9).
3. We negate the x-coordinate and leave the y-coordinate unaltered to indicate a point over the y-axis.
4. Point B is obtained by reflecting point A over the y-axis (2, 9).
5. Indeed, the resulting representation is consistent with the original figure since the rigid transformations of translation and reflection maintain angles and distances. As a result, the original figure's picture after translation and reflection corresponds to the original figure.
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Choose the whole number or mixed number that is equivalent to this improper fraction.
49
10
O
A.
O
4
9
10
B. 9
3
10.
4-
7
OD. 3
Reset
Next
The correct answer is B. 9 3/10. An improper fraction is a fraction where the numerator (the top number) is larger than the denominator (the bottom number).
What is a fraction?A fraction is a number that represents a part of a whole. It is a number that is written as two numbers separated by a line, one above the other. The top number is called the numerator and it represents the number of parts being considered.
In the given example, 49/10 is an improper fraction. To convert this improper fraction into a whole number or a mixed number, you need to divide the numerator by the denominator. When you divide 49 by 10, the answer is 4 with a remainder of 9. This is how you get the mixed number 9 3/10 which is the same as 49/10.
9 3/10 is a mixed number which consists of a whole number and a fraction. The whole number is 9 and the fraction is 3/10. The fraction 3/10 can also be written as its simplest form of 1/10 by dividing the numerator and the denominator by 3.
To check if the answer is correct, you can multiply the whole number (9) and the denominator (10) of the mixed number first, and then add the numerator (3) to get the answer of 49. So, 9 x 10 + 3 = 90 + 3 = 93. The answer is 93, which is the same as the numerator of the given improper fraction (49).
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QUESTION :Choose the whole number or mixed number that is equivalent to this improper fraction.
49/10
A. 4 9/10
B. 9 3/10
What is the surface area?
26 ft
36 ft
33 ft
Answer:
To calculate the surface area of an object, we need to know its shape. Please provide more information on the object's shape or context of the problem to calculate its surface area.
Which of the following shapes has exactly 1 line of symmetry?
Answer:
Isosceles triangle is the shape which has exactly one line of symmetry.
a fourth grade class is hosting a pancake breakfast fundraiser adult tickets are $10 each and children tickets are$6 each the class sells a total of 105 the total amount raised is 870how many adult tickets and how many children tickets were sold
60 adult tickets and 45 children tickets were sold.
How to solve this problemLet's use algebra to solve the problem:
Let x be the number of adult tickets sold.
Let y be the number of children tickets sold.
From the problem, we know that:
x + y = 105 (total tickets sold)
10x + 6y = 870 (total amount raised)
We can solve this system of equations by using elimination:
Multiply the first equation by 6: 6x + 6y = 630
Subtract the second equation from the first: 4x = 240
Solve for x: x = 60
Now we can use x to find y:
x + y = 105
60 + y = 105
y = 45
Therefore, 60 adult tickets and 45 children tickets were sold.
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Choose all the functions that are NOT linear.
A. y = 5 (2x - 1)
B. y = x (3 - x )
C. y= -2x+4
D. y = 1/3x - 5
E. y =5
Answer:
B
Step-by-step explanation:
y = x ( 3-x) = 3x - x^2 the ' x^2 ' makes it nonlinear
Complete the following table:
Note: Do not round intermediate calculations. Round your final answers to the nearest cent.
Chain discount is a type of discount offered by a seller to a buyer for purchasing a certain amount of goods or services in a series of transactions. The discount is applied incrementally as the buyer meets specific purchasing thresholds.
What is the chain discount?Chain discounts are often used to encourage larger purchases and build customer loyalty. They can be beneficial for both the buyer and the seller, as the buyer receives a discount and the seller increases their sales volume.
Item: Trotter treadmill
List price: $ [tex]3,000[/tex]
Chain discount: [tex]9/4[/tex]
To calculate the net price, we first need to determine the amount of the chain discount.
Chain discount = List price x Chain discount rate
Chain discount = $ [tex]3,000 \times 9/4[/tex]
Chain discount = $ [tex]6,750[/tex]
The net price is the list price minus the chain discount:
Net price = List price - Chain discount
Net price = $ [tex]3,000[/tex] - $6,750
Net price = -$3,750
Therefore, The Net price is = -$3,750
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[tex]\sqrt{2x} + 3 = 8[/tex]2 x + 3 = 8
Answer: x= 6241/2
Step-by-step explanation:
Find the value of w and x in the following diagram zoom in
5
32⁰
W
6
to
Round your answers to the nearest hundredth.
The values of the side w and the angle x are 2.649 and 26. 206 degrees respectively.
How to determine the valueIt is important to note that there are different types of trigonometric identities are;
sinetangentcosinesecantcosecantcotangentFrom the image shown, we have;
Using the sine identity
sin θ = opposite/hypotenuse
sin 32 = w/5
find the value
w = 2. 649
To determine the value of angle x , we have;
Using the sine identity
sin x = w/6
sin x = 2. 649/6
sin x= 0. 4416
Take the sine inverse
x = 26. 206 degrees
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Reflections; rotations and translations are transformations that change the what of a figure
Answer:
eflections, rotations, and translations are all transformations that change the position of a figure in the plane. These transformations change the orientation, location, or both of a figure without altering its size or shape. In other words, they change the position or location of the figure in the plane while maintaining the same size and shape.
Select the correct answer.
Consider functions p and q.
log₂ (x - 1)
p(x)
q (x) = 2* - 1
Which statement is true about these functions?
=
O A.
The x-intercept of function p is the same as the x-intercept of function q.
OB.
The x-intercept of function p is less than the x-intercept of function q.
O C.
The x-intercept of function p is greater than the x-intercept of function q.
OD. The x-intercepts cannot be compared because either p or q does not have an x-intercept
Answer: Click THANKS if you like my answer. have a good day sir/maam #keep safe
D. The x-intercepts cannot be compared because either p or q does not have an x-intercept.
The function q is a constant function and its graph is a horizontal line passing through y = -1. It does not intersect the x-axis, so it does not have an x-intercept.
The function p is a logarithmic function, and its x-intercept is the point at which the graph of p intersects the x-axis. To find the x-intercept of p, we need to set p(x) = 0 and solve for x.
log₂ (x - 1) = 0
2^0 = x - 1
1 = x - 1
x = 2
So the x-intercept of p is x = 2.
Since q does not have an x-intercept, we cannot compare the x-intercepts of p and q. Therefore, the correct answer is D.
Step-by-step explanation:
hope its help <:
What is the base of the exponent in the function f(x)=3(8√3) 2x when the function is written using only rational numbers and is in simplest form?
Answer:
We can rewrite the function as:
f(x) = 3(8√3)^(2x) = 3(2^3√3)^(2x)
Using the properties of exponents, we can rewrite this as:
f(x) = 3(2^(3*2x)√3^(2x)) = 3(2^(6x)√(3^(2x)))
Therefore, the base of the exponent is 2.
1/2 + 3/9 = The first time a team is
Answer:
Step-by-step explanation:
To get the LCM in the denominator:
1/2 x 9/9 = 9/18
3/9 x 2/2 = 6/18
9/9 and 2/2 both equal 1, so multiplying these fractions by ny number will result in the same number since any number times 1 is the same number.
9/18 - 6/18 = 3/18
Simplifying this answer:
3/18 = 1/6 because both the numerator and denominator are both multiples of three and are divisible by three.
The answer is 1/6.
Answer: 7/9 or 0.83333333333
Step-by-step explanation:
:D Hope it helped!!! :)
PLS HELP!!! DUE TOMORROW!! 50 POINTS!! show work pls!!
The right triangle BCD have the following solution:
a). The opposite side to the angle D is BC and the adjacent side is DC
b). sin D = 0.55
c). D = 33°
d). B = 57°
How to evaluate for the solutions of the right triangle BCD.Considering the angle D for right triangle BCD, the side opposite the angle D is BD which is also equal to 11 cm, and the side adjacent to the angle D is DC.
sin D = 11/20 {opposite/hypotenuse}
sin D = 0.55 to the nearest tenth
D = sin⁻¹(0.55)
D = 33.3670
D = 33 to the nearest degree
angle B = 180 - (90 + 33) {sum of interior angles of a triangle}
angle B = 57°.
Therefore, the right triangle BCD have the following solution:
a). The opposite side to the angle D is BC and the adjacent side is DC
b). sin D = 0.55
c). D = 33°
d). B = 57°
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Portfolio expected return. You own a portfolio that is invested 35% in stock X, 20% in stock Y, and 45% in stock Z. The expected returns on these three stocks are 9%, 15% and 12%, respectively. What is the expected return, variance and standard deviation on the portfolio?
Answer:
To calculate the expected return on the portfolio, we use the following formula:
Expected return = (weight of stock X * expected return of stock X) + (weight of stock Y * expected return of stock Y) + (weight of stock Z * expected return of stock Z)
Expected return = (0.35 * 0.09) + (0.2 * 0.15) + (0.45 * 0.12) = 0.0321 or 3.21%
To calculate the variance of the portfolio, we use the following formula:
Variance = (weight of stock X)^2 * variance of stock X + (weight of stock Y)^2 * variance of stock Y + (weight of stock Z)^2 * variance of stock Z + 2 * weight of stock X * weight of stock Y * covariance of stocks XY + 2 * weight of stock X * weight of stock Z * covariance of stocks XZ + 2 * weight of stock Y * weight of stock Z * covariance of stocks YZ
Assuming that the stocks are uncorrelated, the covariance terms will be zero. Also, we assume that the variances of the stocks are equal to the square of their standard deviations. Therefore, we can simplify the formula to:
Variance = (weight of stock X)^2 * standard deviation of stock X^2 + (weight of stock Y)^2 * standard deviation of stock Y^2 + (weight of stock Z)^2 * standard deviation of stock Z^2
Variance = (0.35)^2 * (0.09)^2 + (0.2)^2 * (0.15)^2 + (0.45)^2 * (0.12)^2 = 0.00060167 or 0.060167%
To calculate the standard deviation of the portfolio, we take the square root of the variance:
Standard deviation = sqrt(0.00060167) = 0.0245 or 2.45%
Therefore, the expected return of the portfolio is 3.21%, the variance is 0.060167% and the standard deviation is 2.45%.
Answer:
Step-by-step explanation:
To calculate the expected return on the portfolio, we need to take the weighted average of the individual stock returns based on their proportions in the portfolio. The expected return on the portfolio can be calculated as follows:
Expected return on portfolio = (weight of stock X × expected return on stock X) + (weight of stock Y × expected return on stock Y) + (weight of stock Z × expected return on stock Z)
Expected return on portfolio = (0.35 × 9%) + (0.20 × 15%) + (0.45 × 12%)
Expected return on portfolio = 3.15% + 3.00% + 5.40%
Expected return on portfolio = 11.55%
To calculate the variance and standard deviation of the portfolio, we need to use the formula that takes into account the individual stock variances, covariances, and the weights of the stocks in the portfolio. Assuming the covariances between the stocks are zero, we can use the following formulas:
Portfolio variance = (wX^2 * σX^2) + (wY^2 * σY^2) + (wZ^2 * σZ^2) + 2(wX * wY * σXY) + 2(wX * wZ * σXZ) + 2(wY * wZ * σYZ)
Portfolio standard deviation = sqrt(portfolio variance)
where wX, wY, and wZ are the weights of stocks X, Y, and Z in the portfolio respectively, σX, σY, and σZ are the standard deviations of returns on stocks X, Y, and Z respectively, and σXY, σXZ, and σYZ are the covariances between the returns on stocks X and Y, X and Z, and Y and Z respectively.
Since we assume the covariances between the stocks are zero, we can simplify the formulas as follows:
Portfolio variance = (wX^2 * σX^2) + (wY^2 * σY^2) + (wZ^2 * σZ^2)
Portfolio standard deviation = sqrt[(wX^2 * σX^2) + (wY^2 * σY^2) + (wZ^2 * σZ^2)]
Substituting the values, we get:
Portfolio variance = (0.35^2 * 0.09) + (0.20^2 * 0.15) + (0.45^2 * 0.12)
Portfolio variance = 0.0036475
Portfolio standard deviation = sqrt[(0.35^2 * 0.09) + (0.20^2 * 0.15) + (0.45^2 * 0.12)]
Portfolio standard deviation = sqrt(0.0036475)
Portfolio standard deviation = 0.06035
Therefore, the expected return on the portfolio is 11.55%, the portfolio variance is 0.0036475, and the portfolio standard deviation is 0.06035.
1Which equation best describes the line of best fit?
⚠️please explain how bc i have a test tmr and im so confusedd!*
The best linear equation that describe given graph is y=2.5x-35 i.e. C.
What is a linear equation ?
A linear equation is a mathematical equation that, when plotted on a graph, represents a straight line. It is an equation of the following form:
y = mx + b
where y = dependent variable, x = independent variable, m= slope of the line, and b = y-intercept (the point where the line crosses the y-axis).
Now,
Lets take a point on the given graph that is on line (50,90)
then the equation of line should give the same values.
So,
For A, y=0.4x-35
y=0.4*50-35
y=-15 Hence, It does not follow.
For B, y= y=0.4x-70
y=0.4*50-70
y=-50 Hence, It does not follow.
For C, y= y=2.5x-35
y=2.5*50-35
y=125-35
y=90
Hence, It does follow the given point.
Therefore, The best linear equation that describe given graph is y=2.5x-35
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