To find the area of a parallelogram, you need to multiply the base by the height. In this case, the given dimensions are 60ft (base) and 67ft (height), and you need to subtract 52ft from the height.
New height = 67ft - 52ft = 15ft
Area of the parallelogram = Base * Height = 60ft * 15ft = 900 square feet.
Therefore, the area of the parallelogram is 900 square feet.
~~~Harsha~~~
A book sold 36,500 copies in its first month of release. suppose this represents 8.4% of the number of copies sold to date. How many copies have been sold to date?
Answer: 434,524
Step-by-step explanation:
We know 36,500 is 8.4% of the total. To find 100%, we must divide 36500 by 8.4 to find 1% which is 4345.238...
To get from 1% to 100%, we must multiply our answer by 100 to get 434523.8 which we can then round to the nearest whole number 434524
PLEASE HELP ME WITH THIS!!
Answer:
440 cm ²
Step-by-step explanation:
216 cm² +24 cm²= 440 cm²
can someone help me with this?
Theprofit(indollars)earnedbysellingwappletreesisrepresentedby w2 − 4w + 14. The profit (in dollars) earned by selling w pear trees is
represented by 2w + 10. Write a polynomial that represents how much more profit is earned by selling w apple trees than w pear trees.
\(w^2 - 6w + 4\) is a polynomial that represents how much more profit is earned by selling w apple trees than w pear trees.
The profit earned by selling w pear trees is 2w + 10
To find the difference in profit, we need to subtract the profit earned by selling w pear trees from the profit earned by selling w apple trees:
\((w^2 - 4w + 14) - (2w + 10)\)
Simplifying the expression:
\(w^2 - 6w + 4\)
Therefore, the polynomial that represents how much more profit is earned by selling w apple trees than w pear trees is \(w^2 - 6w + 4\).
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A metal piece has four ridges of equal size on the top. The width of the piece is 3cm. Find the volume. Show your work
Please help soon I give 30 brainly
In a case whereby the metal piece has four ridges of equal size on the top. The width of the piece is 3cm the volume of the work is \(450cm^3\)
How can the volume be found?Based on the provided fiqure, we will need to find te volume of the rectangle, then substract from th volume of the four triangular prism
The volume of the rectangle can be epresed as ;
2*3*10 = \(600cm^3\)
The volume of the four triangular prism can be expressed as
20/4 = 5cm 10-5= 5cm
\(1/2 * 5 * 5*3*4 = 150cm^3\)
\(600- 150 =450 cm^3\)
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The string on Kite C is 28 3/4ft and a depth of -6 2/3ft. The string on Kite C has tripled. How high can kite C fly now? I don't understand how to do this problem.
The height that the Kite C can fly after the string on Kite C is tripled is 59.917 feet.
Given,
The length of the string on Kite C = 28 3/4 feet = 21.75 feet
The depth of the Kite C = -6 2/3 feet = -5.333 feet
The string on Kite C is tripled = 21.75 × 3 = 65.25 feet
We have to find the height of the Kite C can fly;
Here,
The first height that the Kite C can fly;
Length + depth = 21.75 + (- 5.333) = 16.417 feet
Now,
The height that the Kite C can fly after the string on Kite C is tripled;
Tripled length + depth = 65.25 + (-5.333) = 59.917 feet.
That is,
The height that the Kite C can fly after the string on Kite C is tripled is 59.917 feet.
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a bricklayers assistant starts building a wall laying 50 bricks per hour. Two hours later the master bricklayer joins the assistant and both lay bricks. The master bricklayer lays 80 bricks per hour. write an equation stating that the assistant and the master have laid the same number of bricks. how long has each one worked when they have laid the same number?
Answer:
80t = 50(t+2)master: 3 1/3 hoursassistant: 5 1/3 hoursStep-by-step explanation:
Given an assistant bricklayer laying 50 bricks an hour has worked 2 hours longer than a master bricklayer laying 80 bricks an hour, you want an equation stating they have laid the same number of bricks. You also want to know how long each has worked.
Rate and outputThe output of each bricklayer is the product of the rate at which they lay bricks and the time for which they do it. If t is the time spent by the master bricklayer, their output will be 80t. The time spent by the assistant will be (t+2) hours, and their output will be 50(t+2).
Here is the equation that says their output is the same:
80t = 50(t+2)
TimeSolving the equation for t, we have ...
80t = 50t +100
30t = 100 . . . . . . . . . subtract 50t
t = 3 1/3 . . . . . . . divide by 30
The master bricklayer has worked 3 1/3 hours when they have laid the same number of bricks.
The assistant bricklayer has worked 5 1/3 hours at that time.
__
Additional comment
Each will have laid (80)(3 1/3) = 266 2/3 bricks.
anyone can solve this?
\( \sqrt[4] {a}^{3 \:} to \: power\)
The value of the expression \(\sqrt[4]{a}^3\) when evaluated is \(a^\frac34\)
How to evaluate the expressionFrom the question, we have the following parameters that can be used in our computation:
\(\sqrt[4]{a}^3\)
Consider an expression expressed as xⁿ
The expression can be expanded as
xⁿ = x * x * x .... in n places
Using the above as a guide, we have the following:
\(\sqrt[4]{a}^3 = \sqrt[4]{a} * \sqrt[4]{a} * \sqrt[4]{a}\)
Apply the exponent rule of indices
\(\sqrt[4]{a}^3 = a^\frac14 * a^\frac14 * a^\frac14\)
Apply the power rule of indices
\(\sqrt[4]{a}^3 = a^\frac34\)
Hence, the expression \(\sqrt[4]{a}^3\) when evaluated is \(a^\frac34\)
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Cedric applied the rule to figure WXYZ.
Figure W X Y Z is reflected across the line of reflection m to form W prime X prime Y prime Z prime. Figure W prime X prime Y prime Z prime is rotated 180 degrees about point P to form W double-prime X double-prime Y double-prime Z double-prime.
What mistakes did he make? Select two options.
He applied the reflection to the pre-image first.
He applied the rotation to the pre-image first.
He changed the size of the figure instead of just applying a rotation.
He used point P as the center of rotation.
He used an incorrect angle of rotation around point P
The mistakes that were made regarding the transformation are:
He applied the reflection to the pre-image first.He used an incorrect angle of rotation around point PHow to illustrate the information?It should be noted that a transformation simply means the changing of the position of an object
In this case, the transformation is incorrect as he applied the reflection to the pre-image first and used an incorrect angle of rotation around point P.
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dos aviones de parte de una ciudad a las 8 AM el primer avión quiso regresar a la ciudad 5 horas y el segundo avión regresa casa 3 horas en cuanto tiempo volverán a dentrar a la ciudad
Both planes will reach the city at the same time again at 11 PM.
How to deal with periodic events?Considering periodic events, they will repeat on the same day for the least common factor of the periods of each event.
The periods for this problem are given as follows:
5 hours.3 hours.As 5 and 3 are prime numbers, the least common factor is given as follows:
5 x 3 = 15.
15 hours after 8 AM is of 11 PM.
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Your building plan for your restaurant includes one men's and women's restroom. The city inspector lets you kno that you must have at least 400 square feet per bathroom. If your building is a total 4,000 square feet, how many square feet are left for the development other nonbathroom areas?
Answer: 3200 ft^2
Step-by-step explanation:
You have a total area of 4,000 ft^2.
In your plan, you will make two bathrooms (one men's restroom and one women's restroom)
We know that each one of them needs 400ft^2, then the total area needed is two times 400ft^2, or:
2*400ft^2 = 800ft^2
If we subtract this to the total area, we get:
4000ft^2 - 800ft^2 = 3200 ft^2
That is the square feet left for the development of other nonbathroom areas.
What angle corresponds with angle A?
On a circle, a line is drawn from the origin to A(-3,4). The angle Ø is between the line and the x- axis. Find Cos Ø
Therefore,
\(\cos \phi=\frac{Adjacent}{\text{hypotenuse}}\)But, we do not have the dimension for the hypotenuse, In order to find the hypotenuse, we need to apply the Pythagorean theorem
Hence,
\(\begin{gathered} \text{Hyp}^2=opp^2+adj^2 \\ \text{hyp}^2=4^2+3^2 \\ \text{hyp}^2=16+9 \\ \text{hyp}^2=25 \\ \text{hyp}=\sqrt[]{25} \\ =5 \end{gathered}\)Therefore,
\(\cos \phi=\frac{3}{5}\)Exercise 7
a) Find the perimeter of a square whose side is 9 cm.
b) Find the perimeter of a rectangle of length 25 cm and width 7 cm.
c) Calculate the length of a rectangle whose perimeter is 44 cm and width is 8
cm.
d) Calculate the width of a rectangle whose perimeter is 24 cm and length is 10
cm.
e) Draw a square of side 5 cm.
answer:
a) 36
b) 64
c) 14
d) 2
solution:
a)9 x 4= 36
b) 25 + 25 + 7 + 7 = 64
c) 8 + 8 = 16, 44-16 = 28, 28/2 = 14
d) 10 + 10 = 20, 24-20 = 4, 4/2 = 2
WILL GIVE 200 POINTS !!!!> find the x intercept and the y intercept. write each intercept as an ordered pair. y=5x-10
Answer:x intercept (2,0)
Yintercept (0,-10)
Step-by-step explanation:
y=mx+b b= y intercept
To find x you just solve
Y=5x-10
10=5x
2=x
Write the prime factorization of 26.
Answer:
The factors of 26 are 1,2,13,26 The prime factors of 26 are 2 and 13.
Step-by-step explanation:
Answer:
2 and 13
Step-by-step explanation:
First, we can see that the last digit of
26
is even, and thus
26
is divisible by
2
. If we divide by
2
, we find
26
2
=
13
. As
13
is a prime number, there are no further prime factors of
26
, and so the prime factorization of
26
is
2
×
13
.
twin oaks soccer field is a rectangle. The longer side of the field is 108 yards long. The shorter side is 56 yards long. What is the perimeter of the field?
Answer:
P = 328 yards
Step-by-step explanation:
formula is P= 2l + 2w
\(p = 2(108) + 2(56) \\ = 216 + 112 \\ = 328 \: yards\)
ineeeddddddyoooouuuurrrrr hhhheeeellllpppp ppppllllssss
Answer:
d. you just have to multiply everything
BRAINLIEST TO FIRST PERSON WHO IS CORRECT
Answer:
11 1/4
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
PLEASE HELP URGENT I will give brainiest
Answer: I’ll edit this when I get the photo.
Step-by-step explanation:
Help me find the answer
The answer will be 16 minutes.
In mathematics and statistics, the arithmetic mean or arithmetic average, or just the mean or the average, is the sum of a collection of numbers divided by the count of numbers in the collection
An arithmetic average is the sum of a series of numbers divided by the count of that series of numbers. If you were asked to find the class (arithmetic) average of test scores, you would simply add up all the test scores of the students and then divide that sum by the number of students.
The arithmetic mean or mean is the simplest way to calculate the average for the given set of numbers. It is classified into two different types, namely simple arithmetic mean and weighted arithmetic mean.
leave at 7 a.m.=
x₁= 32+28+35+26+39/5
⇒ 160/5
⇒ 32 minutes.
x₂ = 46+44+52+50+48/5
⇒ 240/5 = 48 min
Δx = x₂- x₁
= 48-32
= 16minutes.
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What is the center of the hyperbola?
(y+3)29−(x−2)22=1
Enter your answer by filling in the boxes.
center:
What is the center of the hyperbola?
(y+3)²/9-(x-2)²/2=1
Enter your answer by filling in the boxes.
center: (__,__)
Answer:(2,-3)
Step-by-step explanation:
The starting salary of business students in a university is known to be normally distributed. A random sample of 18 business students results in a mean salary of $46,500 with a standard deviation of $10,200. Construct the 90% confidence interval for the mean starting salary of business students in this university. Multiple Choice 46,500 ± 1.740 ( 10,200 / 18−−√ ) 46,500 ± 1.330 ( 10,200 / 18−−√ ) 46,500 ± 1.734 ( 10,200 / 18−−√ ) 46,500 ± 1.645 ( 10,200 / 18−−√ )
Answer:
\(46500 \pm 1.74\frac{10200}{\sqrt{18}}\)
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 18 - 1 = 17
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 17 degrees of freedom(y-axis) and a confidence level of \(1 - \frac{1 - 0.9}{2} = 0.95\). So we have T = 1.74
The margin of error is:
\(M = T\frac{s}{\sqrt{n}} = 1.74\frac{10200}{\sqrt{18}}\)
Confidence interval:
Sample mean plus/minus margin of error. So
\(46500 \pm 1.74\frac{10200}{\sqrt{18}}\)
one card is drawn from a pack of 52cards each of the 52 cards being equally likely to be drawn. what is the probability that the card drawn is a king?
The probability of drawing a king from a standard deck of 52 cards is 1/13.
In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.
To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).
The total number of possible outcomes is 52 because there are 52 cards in the deck.
The favorable outcomes, in this case, are the four kings.
Therefore, the probability of drawing a king is given by:
Probability = (Number of favorable outcomes) / (Number of possible outcomes)
= 4 / 52
= 1 / 13
Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.
This means that out of every 13 cards drawn, on average, one of them will be a king.
It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.
Each draw is independent, and the probability of drawing a king is constant.
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Given h of x equals negative 2 times the square root of x minus 3 end root, which of the following statements describes h(x)?
The function h(x) is increasing on the interval (–∞, 3).
The function h(x) is increasing on the interval (–3, ∞).
The function h(x) is decreasing on the interval (–∞, 3).
The function h(x) is decreasing on the interval (3, ∞).
Answer:
The function h(x) is decreasing on the interval (3, ∞).
Step-by-step explanation:
Please take a look at the attached image.
You will see a graph of the given function h(x) = -2\(\sqrt{x-3}\). The function is decreasing.
The function starts at 3 and starts to go towards negative infinity on the x-axis. Therefore the function is decreasing on the interval (3, ∞).
Last year, Singer A performed one more than five times as many shows during concert tours than Team B. The number of Singer A concert tour shows exceeded the number of shows by Team B by 73. How many concert shows did each perform?
Singer A
Singer B
The number of concert shows that singer A and singer B attended will be 41 and 18 shows respectively.
How to illustrate the information?Based on the information, the equation for last year will be:
A = 2B + 5
The number will be illustrated as:
A = B + 23
Therefore, it should be noted that we will equate the expression. This will be:
2B + 5 = B + 23.
Collect like terms
2B - B = 23 - 5
B = 18.
A = 23 + B = 23 + 18 = 41
Therefore, the number of concert shows that singer A and singer B attended will be 41 and 18 shows respectively.
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Last year, Singer A performed two times as many shows during concert tours than Team B. The number of Singer A concert tour shows exceeded the number of shows by Team B by 23. How many concert shows did each perform?
f(x)=- square root x-2. +3
Answer:
Hi, The.
The domain of a function is the set of all possible values for x. The range is all possible values for y.
You should be able to see these pretty easily from the graph. If I understand your function correctly:
f(x) = square root(x+2) - 3
then x cannot be less than -2. Your domain is x > -2. In interval notation [-2,∞)
The lowest value for y is -3 so the range is y > -3. In interval notation [-3,∞)
Hope this helps!
Select the correct answer.
If no denominator equals zero, which expression is equivalent to 15/x-6 + 7/x+6?
A.
OB.
OC.
OD.
22 +132
²36
22-48
236
22
C.36
22 +48
²36
The expression in the options which is equivalent to the given expression is D. (22x + 48) / (x² - 36).
Given expression is,
[15 / (x - 6)] + [7 / (x + 6)]
Cross multiplying the two fractional expressions,
= [15 (x + 6) + 7 (x - 6)] / [(x - 6) (x + 6)]
= [15x + 90 + 7x - 42] / [x² - 6²]
= (22x + 48) / (x² - 36)
Hence the equivalent expression is D.
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The image of ABC △ after a rotation of 90° clockwise about the origin is DEF △, as shown.
When thee image of AABC after a rotation of 90° clockwise about the origin is ADEF, as shown below, the true statement is that D. ZA = ZD
How to explain the triangleWhen a figure is rotated 90° clockwise about the origin, the angle measures remain the same. Therefore, ∠A=∠D.
A, B, and C are incorrect because the lengths of the sides and the measures of the other angles do not remain the same when a figure is rotated 90° clockwise about the origin.
This statement is correct because the angle measures of a figure do the same when it is rotated 90° clockwise about the origin. In this case, angle A is 90°, while angle D is also 90°. Therefore, ZA = ZD.
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Candace deposited $3,587.39 into a savings account with an interest rate of 4.2% compounded twice a year. about how long will it take for the account to be worth $5,000?
Answer:
Solution in photo
Step-by-step explanation: