These two right rectangular prisms are similar. Figure 1 is similar to figure 2 by a scale factor ofFigure 1FPWFigure 2If the perimeter PORS in figure 2 is 18 centimeters the perimeter of ABCD in figure 1 iscentimeters.
Answers
Perimeter
\(PQRS=18cm\)Scale factor
\(\frac{5}{3}\)SOLUTIONThe perimeter of ABCD\(\frac{5}{3}\times18=30\)The final answer\(30cm\)
Answer: 30cm
Step-by-step explanation:
Related Questions
For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of acts on a certain object, the acceleration of the object is . If the acceleration of the object becomes , what is the force?
Answers
If the acceleration of the object becomes 9m/s², the force will be 24N
How to calculate the force?From the information, the moving object, the force acting on the object varies directly with the object's acceleration. When a force of 36N acts on a certain object, the acceleration of the object is 6m/s². The constant will be:
y = k/x
y = force.
x = acceleration
k = constant of proportionality.
k = 36 × 6
k = 216
If the acceleration of the object becomes 9m/s², the force will be:
= 216 / 9
= 24
The force is 24N.
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can i get help please
Answers
Answer:
20
Step-by-step explanation:
side BC = side AB
so their base angles that is ∠A = ∠C = (3x+20)°
now, total measure of the angles of a triangle is 180° & ∠B = x°
Now,
m∠A + m∠B + m∠C = 180
⇒ 3x + 20 + x + 3x + 20 = 180
⇒ 7x + 40 = 180
⇒ 7x = 140
⇒x = 20
As part of their employee benefits , all workers at Middletown Electronics receive a pension that is calculated by multiplying the number of years worked times 1.56% of the average of their three highest years’ salary. Maureen has worked for Middletown for 30 years and is retiring. Her highest salaries are $107,000, $107,800, and $108,198. Calculate Maureen’s pension.
Answers
Maureen's pension would be $50,035.20.
What is Percentage?
To compute a percentage, divide the value by the entire amount and multiply the result by 100. A percentage is a quantity or ratio that is stated as a fraction of one hundred. The percent sign, "%," is frequently used to represent it.
First, we need to calculate the average of Maureen's three highest salaries:
Average = (107,000 + 107,800 + 108,198) / 3
Average = 322,998 / 3
Average = 107,666
Next, we need to calculate 1.56% of this average:
Percentage = 1.56% * 107,666
Percentage = 1,667.84
Finally, we multiply this percentage by the number of years worked to find the pension:
Pension = 30 * 1,667.84
Pension = 50,035.20
So, Maureen's pension would be $50,035.20.
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Please help will mark branlist
Answers
Answer:
10
Step-by-step explanation:
After hour, pay increases by 10.
Jada has a new puppy that weighs 9 pounds. The vet says that the puppy is now at about 20% of its adult weight. (a)What will be the adult weight of the puppy? (b)What will be 40% of the adult weight of the puppy? (c)What will be 80% of the adult weight of the puppy?
Answers
Answer:
• 45 pounds.
,• 18 pounds
,• 36 pounds
Explanation:
Part A
Let the adult weight of the puppy = w
20% of its adult weight = 9 pounds
\(\implies20\%\times w=9\)Next, solve for w:
\(\begin{gathered} \frac{20}{100}\times w=9 \\ 0.2w=9 \\ w=\frac{9}{0.2} \\ w=45\text{ pounds} \end{gathered}\)The adult weight of the puppy is 45 pounds.
Part B
40% of the adult weight of the puppy:
\(\begin{gathered} =40\%\times45 \\ =\frac{40}{100}\times45 \\ =18\text{ pounds} \end{gathered}\)Part C
80% of the adult weight of the puppy:
\(\begin{gathered} =80\%\times45 \\ =\frac{80}{100}\times45 \\ =36\text{ pounds} \end{gathered}\)What is 123X45 I tied but it is hard
Answers
Answer:
5,535
Step-by-step explanation:
.-8-10D =-20R =104Function?
Answers
Answer
Domain = -8, -2, 1 and 4.
Range = -10, 0 and 10.
Function? = YES
Explanation
- The domain of a function refers to the values of the independent variable (x), where the dependent variable [y or f(x)] or the function has a corresponding real value. The domain is simply the values of x for which the output also exists.
For this question, it is evident that the domain includes the values of x on the left; -8, -2, 1 and 4.
- The range of a function refers to the region of values where the fumction can exist. It refers to the values that the dependent variable [y or f(x)] can take on.
For this question, we can see that the range includes the values of y on the right, obtained from the values of x in the domain; -10, 0 and 10.
- A function is an expression that takes up each value of an independent variable (x) and gives a corresponding value of a dependent variable (y) without the same values of the independent variable (x) giving different values of the dependent variable (y).
From the mapping shown, we can see that the the same value of x doesn't give different values of y, so, we can conclude that this is a function.
Hope this Helps!!!
If there are 12 inches in a foot, how many inches are in 64 feet?
Answers
Answer:
768
Step-by-step explanation:
64*12
Answer:
768
Step-by-step explanation:
12x64=768
First correct answer gets brainliest
Given a line with slope = -4 and y-int= (0, 5), write the equation of the line.
Writing the equation algebraically.
Answers
Answer:
\(y=-4x+5\)
Step-by-step explanation:
The equation of a line with slope \(m\) and \(y\)-intercept \((0,b)\) is \(y=mx+b\).
is it rigt ghghghghghghghghghghgh
Answers
Answer:
nope, the answer is the one above the one you chose
What is the distance between two points with coordinates (32,12,5) and (20,3,13) in space?
Answers
The distance between two points with the given coordinates in space is;
Distance = 17 units
We are given the coordinates;
(32, 12, 5)
(20, 3, 13)
Formula for the distance between two points that have (x, y, z) coordinates is;d = √((x₂ - x₁)² + (y₂ - y₁)² + (z₂ - z₁)²)
From the equation given to us, we can see that;
x₁ = 32
x₂ = 20
y₁ = 12
y₂ = 3
z₁ = 5
z₂ = 13
Using the formula for the distance, we have;d = √((20 - 32)² + (3 - 12)² + (13 - 5)²)
d = √(144 + 81 + 64)
d = √289
d = 17
Thus, the distance between the two points is 17 units
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translation: 6 units right and 6 units up71-5,-5), 41-5,-4), 7(-3,-5)A) T(1, 1), u(1, 2), v(3, 1)B) T1-5,1), U(-5,2), V(-3,1)C) T(-4,-4), U(-4,-3), V(-2,-4)D) T(2,-2), U12, -1), V(4, -2)
Answers
step1
translation in x direction is left or right
translation in y direction is down or up
so
translation 6 units righ is the same that
x+6
translation 6 units up is the same that
y+6
For (-5,-5) we have -----> (-5+6,-5+6)-------> (1,1)
For (-5,-4) we have -----> (-5+6,-4+6) ----> (1,2)
For (-3,-5) we have ----> (-3+6,-5+6) -----> (3,1)
the solution is the option A
what is the equivalent ratio of 6:14
Answers
Given:
\(6\colon14\)Simplify the ratio,
\(\begin{gathered} 6\colon14 \\ \frac{6}{14}=\frac{2\times3}{2\times7}=\frac{3}{7} \end{gathered}\)Answer: the equivalent ratio for 6:14 is 3:7
The table shows three unique functions.
x f(x) g(x) h(x)
1
-2
-14
-28
-1
7012
49
1
-7
-7
0
0
7
7
-7
14 49 -28
7
1
Mark this and return
Which statements comparing the functions are true?
Select three options.
Only f(x) and h(x) have y-intercepts.
Only f(x) and h(x) have x-intercepts.
The minimum of h(x) is less than the other
minimums.
The range of h(x) has more values than the other
ranges.
The maximum of g(x) is greater than the other
maximums.
Save and Exit
Next
Submit
Answers
The three true statements are:
Only f(x) and h(x) have y-intercepts.
Only f(x) and h(x) have x-intercepts.
The minimum of h(x) is less than the other minimums.
From the given table, we can compare the characteristics of the functions f(x), g(x), and h(x) to determine which statements are true.
Statement 1: Only f(x) and h(x) have y-intercepts.
Looking at the table, we can see that f(x) and h(x) have y-intercepts since they have values for f(0) and h(0), while g(x) does not have a y-intercept. Therefore, statement 1 is true.
Statement 2: Only f(x) and h(x) have x-intercepts.
To find x-intercepts, we look for values of x where the functions f(x), g(x), and h(x) equal zero. From the table, we can see that only f(x) and h(x) have x-intercepts, as they have values for x where f(x) and h(x) are equal to zero. Therefore, statement 2 is true.
Statement 3: The minimum of h(x) is less than the other minimums.
By comparing the values in the table, we can see that the minimum value of h(x) is -28, which is indeed less than the minimums of f(x) (-2) and g(x) (-7). Therefore, statement 3 is true.
Statement 4: The range of h(x) has more values than the other ranges.
The range of a function represents the set of all possible output values. From the table, we can observe that the range of h(x) has more values (-28, 0, 7, 14, 49) compared to the ranges of f(x) and g(x) (only two distinct values each). Therefore, statement 4 is true.
Statement 5: The maximum of g(x) is greater than the other maximums.
Looking at the values in the table, we can see that the maximum value of g(x) is 7, which is indeed greater than the maximums of f(x) (-2) and h(x) (14). Therefore, statement 5 is true.
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What is the output when the input is 16?
16 divided by 2 + 7 = Output
Answers
Answer:
15
Step-by-step explanation:
? = 16/2 + 7 = 8 + 7 = 15
13 Select the correct answer. A system of equations and its solution are given below. System A -1 - 2y = 7 51 - 6y = -3 Solution: (-3,-2) Choose the correct option that explains what steps were followed to obtain the system of equations below. System B -x – 2y = 7 -16y = 32
Answers
Let's begin by listing out the information given to us:
\(\begin{gathered} -x-2y=7----1 \\ 5x-6y=-3---2 \end{gathered}\)Make variable x the subject of the first equation, we have:
\(\begin{gathered} -x-2y=7\Rightarrow-x=7+2y \\ -x=7+2y \\ \text{Multiply through each element by -1, we have:} \\ x=-2y-7----3 \end{gathered}\)Substitute variable x from the third equation into the second equation, we have:
\(\begin{gathered} 5x-6y=-3 \\ x=-2y-7 \\ 5(-2y-7)-6y=-3\Rightarrow-10y-35-6y=-3 \\ -10y-35-6y=-3 \\ \text{Add like terms together, we have:} \\ -10y-6y=-3+35\Rightarrow-16y=32 \\ -16y=32 \end{gathered}\)Therefore, the correct answer is option C;
differentiate with respect to x
4x3-12x2+14x
Answers
Answer:
You are differentiating with respect to x
with the formula X^n = nX^n-1
dy/dx= 12x2 - 24x + 14
HURRY Drag each division expression to the correct location on the table.
Solve each division problem, and classify it based on its quotient.
Answers
Answer: (In order)
25/4 / 6 1/4 = 1
3 1/7 / 2/7 = 11
5/4 / 1/4 = 5
11 1/4 / 9/4 = 5
8 1/4 / 3/4 = 11
3 1/3 / 10/3 = 1
Step-by-step explanation:
10 points LAST QUESTION :DDDDDD
The Scale factor of Dilation is 3. What will be the four pairs of coordinates for the enlarged image? The center of dilation is 0,0, point of origin.
Answers
Answer:
Step-by-step explanation:
Question 2 (3 points)
Find the perimeter of the trapezoid.
Hint: you will need to use the Pythagorean
formula to find the missing side. Then find the
perimeter.
162.68
176.68
182.51
175.26
16
56
80
14
21.26
Answers
The perimeter of the trapezoid is given as follows:
44 cm.
What is the perimeter of a polygon?The perimeter of a polygon is given by the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.
The missing side is a side of a right triangle, in which the other side is of 18 - 10 = 8 cm, while the hypotenuse is of 10 cm, hence:
8² + h² = 10²
64 + h² = 100
h² = 36
h = 6.
Hence the perimeter is given as follows:
P = 18 + 10 + 10 + 6 = 44 cm.
Missing InformationThe trapezoid is given by the image presented at the end of the answer.
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In order to estimate the difference between the average hourly wages of employees of two branches of a department store, the following data have been gathered. Downtown StoreNorth Mall Store Sample size2520 Sample mean$12$6 Sample standard deviation$3$1 The point estimate for the difference between the two population means is 6. Find a 95% interval estimate for the difference between the two population means. 0.654 to 2.615 3.958 to 8.042 4.692 to 7.308 5.699 to 8.301
Answers
Answer:
4.692 to 7.308
Step-by-step explanation:
Given :
n1 = 25 ; n2 = 20 ;
Mean x1 = $12 ; mean x2 = $6
Standard deviation, s1 = 3 ; s2 = 1
Confidence interval :
(x1 - x2) ± t*√(s1²/n1) + (s2²/n2)
x1 - x2 = (12 - 6) = 6
√(s1²/n1) + (s2²/n2) = √(3²/25) + (1²/20) = 0.640
Degree of freedom :
((s1²/n1) + (s2²/n2))² / (s1²/n1)²/n1-1 + (s2²/n2)²/n2-1
Numerator = 0.1681
Denominator = 0.0054 + 0.0001315 = 0.0055315
Degree of freedom = 0.1681 / 0.0055315 = 30.38 = 30
Tcritical at 0.05, df = 30 = 2.042272
Hence ;
6 ± 2.042272(0.640)
6 ± 1.30705408
Lower boundary = 6 - 1.30705408 = 4.69294592
Upper boundary = 6 + 1.30705408 = 7.30705408
(4.693 ; 7.307)
Twenty standard cartons of octal boxes weigh a total of 1,100 pounds. Find the weight per carton.
Answers
Twenty standard cartons of octal boxes weigh a total of 1,100 pounds. The weight per carton is 55 pounds.
Given that twenty standard cartons of octal boxes weigh a total of 1,100 pounds. We need to find the weight per carton.
How to find the weight per carton? To find the weight per carton, we need to divide the total weight of twenty standard cartons of octal boxes by 20.Let's assume the weight of each carton be x.
Therefore, the equation can be formed asx * 20 = 1,100 Solving the above equation for x, x = 1,100/20 Therefore, the weight per carton is 55 pounds. So, twenty standard cartons of octal boxes weigh a total of 1,100 pounds.
The weight per carton is 55 pounds.
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Find the values of x and y
Answers
Answer:
x = 25, y = 19
Step-by-step explanation:
The external angle is supplementary to the adjacent internal angle.
2x +130 = 180
2x = 50 . . . . . . . subtract 130
x = 25 . . . . . . . divide by 2
__
The external angle is equal to the sum of the remote internal angles.
130 = 54 +4y
76 = 4y . . . . . . . subtract 54
19 = y . . . . . . . divide by 4
My cookbook's pancake recipe states that it makes 12 standard sized pancakes. The nutritional information says 2 pancakes is a serving containing 150 calories. For breakfast, I prepared half a recipe, but made smaller sized pancakes, so ended up preparing 8 pancakes. I ate 4 of them. How many calories did I consume?
Answers
Answer:
225 calories
Step-by-step explanation:
1 recipe makes
12 standard sized pancakes
2 pancakes are 1/6 of the recipe
1/6 of the recipe has 150 calories
6 × 150 calories = 900 calories
The full recipe of 12 pancakes has 900 calories
1/2 recipe was made
1/2 recipe has 1/2 × 900 calories = 450 calories
1/2 recipe made 8 pancakes
4 pancakes are half of the half recipe or 1/4 recipe
1/4 × 900 calories = 225 calories
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Pam, the CEO of Zettabyte Tek, set up a $750,000 education fund. She wants to give each employee who takes a computer security class a $350 reimbursement toward the cost of the class. You can use a function to describe the amount of money left in the fund after x employees receive the reimbursement.
Write an equation for the function. If it is linear, write it in the form f(x)=mx+b. If it is exponential, write it in the form f(x)=a(b)x.
Answers
The formula for this linear function is f(x) = mx + b, where m is the slope (in this example, -350), and b is indeed the y-intercept (750,000 in this case).
What does a simple equation represent?An equation expressing the connection between the expressions on either side of a sign. Normally, it has an equal sign and just one variable. such as: 2x - 4 is equal to 2. The variable x is present in the example above.
Workers who complete the computer security course will each receive a reimbursement of $350.
We deduct $350x from of the initial $750,000 to determine how much money will remain inside the education fund once x employee gets the reimbursement.
Thus, f(x) = 750,000 - 350x is the equation again for function that describes that amount of money still in the fund when x employees receive the refund.
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Place these numbers in order from small to big. 35% , 36/100, 4/25, 0.85, 2.6, 0.1
Answers
Answer:
0.1, 4/25, 35%, 36/100, 0.85, 2.6
Step-by-step explanation:
PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((
Answers
Answer:
yes
Step-by-step explanation:
I think sorry if I am wrong
No
Explanation
This stem and leaf diagram shows the number of students who go to various after school clubs. What is the smallest number of students who go to one of these clubs?
1| 6 8 9
2| 1
3| 5 9
4| 0 2 4 5
(Key: 2| 1 represents 21 students)
Answers
The smallest number of students who go to one of these clubs is 21.
A stem-and-leaf diagram is a quantitative assessment of a collection of data in which the data values are divided into a "stem" (the first digit of the number) and a "leaf" (the remainder of the number) (the last digit of the number).
Based on the given stem and leaf diagram, the smallest number of students who go to one of these clubs is represented by the leaf value "1" in the stem "2."
Therefore, the smallest number of students who go to one of these clubs is 21.
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factorise 3^2-16x +5
Answers
Answer:
3²- 16x +5
9-16x+5
-16x+9+5
-16x + 14
Step-by-step explanation:
I hope this will be helpful for you.
find the measure of BE step by step
Answers
Answer:
BE = 49 cm
Step-by-step explanation:
Use Pythagorean theorem
(hypotenuse)² = (base)² + (leg)²
ΔDEF,
DE² + EF² = FD²
DE² + 63² = 65²
DE² + 3969 = 4225
DE² = 4225 - 3969
DE² = 256
DE = √256 = √(16*16)
DE = 16 cm
ΔCBD,
BC² + BD² = CD²
56² +BD² = 65²
3136 + BD² = 4225
BD² = 4225 - 3136
BD² = 1089
BD = √1089 = √(33*33)
BD = 33 cm
BE = BD + DE
= 33 + 16
BE = 49 cm