Answer:
Area = 108 cm^2
Perimeter = 44 cm
Step-by-step explanation:
Area, -->
24 + 30 + 24 + 30 -->
24(2) + 30(2)
48 + 60 = 108 cm^2
108 = area
10 + 12 + 10 + 12, -->
10(2) + 12(2) = 44 cm
44 = perim.
Hope this helps!
Answer:
Step-by-step explanation:
Draw the diagram.
This time put in the only one line for the height. That is only 1 height is 8 cm. That's it.
The base is 6 + 6 = 12 cm.
The slanted line is 10 cm
That's all your diagram should show. It is much clearer without all the clutter.
Now you are ready to do the calculations.
Area
The Area = the base * height.
base = 12
height = 8
Area = 12 * 8 = 96
Perimeter.
In a parallelagram the opposite sides are equal to one another.
One set of sides = 10 + 10 = 20
The other set = 12 + 12 = 24
Both sets = 20 + 24
Both sets = 44
Answer
Area = 96
Perimeter = 44
Which number is not in scientific notation?
1.10 ⋅ 103
4.0 ⋅ 1016
7.03 ⋅ 10−2
350 ⋅ 102
Answer:
c no is right answer ..................
if_ is added to a number, the sum will remain the same. Hence _ is called the _in the whole number
Answer:
Step-by-step explanation:
If 0 is added to a number, the sum will remain the same.
Jill purchased 50 game points
at the arcade for $20. If he
wanted to buy 250 game
points, how much would he
spend?
Answer:
He would spend 100 dollars :)!
Find the area of the rectangle shown
7 1/2 ft
5 1/4ft
Answer:
39 3/8 ft ^2
Step-by-step explanation:
To find the area of a rectangle, multiply the length times the width.
A = l*w
= 7 1/2 * 5 1/4
Change the mixed numbers to improper fractions.
A = 15/2 * 21/4
=315/8
Change back to a mixed number.
8 goes into 315 39 times with 3 left over.
= 39 3/8
Answer:
Area = 39.375 ft²
(you can round to 39.4)
Step-by-step explanation:
Find the area of the rectangle shown
7 1/2 ft
5 1/4ft
7 1/2 = 7.5 ft
5 1/4 = 5.25 ft
Area = L x W
Area = 7.5 x 5.25
Area = 39.375
find the missing number 1,2,6,15,31___?
4
5
6
7
8
9
10
11
12
13
14
16
17
19
20
21
22
23
24
25
26
27
28
29
30
Please show work (if needed) help ASAP
Answer:
First one is option D. Plane Bad, second one is option B. Point C
Bryan invests $6500 in two different accounts. The first account paid 11 %, the second account paid 7 % in interest. At the end of the first year he had earned $519 in interest. How much was in each account?
$ at 11 %
$ at 7 %
Bryan invested $1600 in the first account (earning 11% interest) and $4900 (6500 - 1600) in the second account (earning 7% interest).
Let's assume that Bryan invested an amount of x dollars in the first account, which earns 11% interest, and (6500 - x) dollars in the second account, which earns 7% interest.
The interest earned from the first account can be calculated as 0.11x, and the interest earned from the second account can be calculated as 0.07(6500 - x).
According to the problem, the total interest earned after one year is $519. So we can set up the equation:
0.11x + 0.07(6500 - x) = 519
Simplifying the equation:
0.11x + 455 - 0.07x = 519
0.04x + 455 = 519
0.04x = 64
x = 64 / 0.04
x = 1600
Therefore, Bryan invested $1600 in the first account (earning 11% interest) and $4900 (6500 - 1600) in the second account (earning 7% interest).
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if a coin is flipped 35 times and lands on heads 21 times what is the relative frequency of Landing on heads
Work Shown:
21/35 = (7*3)/(7*5) = 3/5
0.02 X 100 = 0.02 X_____=_____
Answer:
0.02 × 100 = 2
Step-by-step explanation:
move the decimal 2 steps backward according to the numbers of zeros behind the multiplier(100).
0.02 × 100 = 2
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A new dining plan was implemented in a residence hall at State University. Residents were asked to assess the new plan and give a grade of A, B, C, D, or F to the new dining plan. Of 482 residents, 234 gave a grade of A, 148 a grade of B, 87 a grade of C, and 9 a grade of D. There were ______ "F"s.A. 10B. 6C. 8D. 4
There were four (4) "F"s. Therefore, the correct answer is option D: "4".
The total number of residents who gave a grade to the new dining plan is 234 + 148 + 87 + 9 = 478, which is less than the total number of residents in the residence hall (482). This means that 482 - 478 = 4 residents did not give a grade to the new dining plan.
Therefore, the number of residents who gave a grade of F to the new dining plan is 482 - (234 + 148 + 87 + 9) - 4 = 4.
Therefore, the answer is D: 4, meaning that there were 4 "Fs".
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m stuck, i dont know where i went wrong. Will brain list, pls help. Evaluate x³-2x²+3x-7/x-1
Answer: hii
Its A. x2−x+2−5x−1
Step-by-step explanation:
Divide using polynomial division.
Hopefully this helps you
- Matthew
The sum of two numbers is 50. The sum of their reciprocals is 1/ 12. Determine the 2
numbers.
numbers are 20 and 30 or 30 and 20.
What is equation?A statement that represents the equality between two mathematical expressions. An equation can have one variable or two variables.
What is the number as per statement?sum of two numbers = 50
sum of their reciprocal = 1/12
what is the 2 numbers.
let, one number is X and the other number is Y
as per the given condition, sum of X and Y is 50
X + Y =50 ...... equation 1
again, sum of the reciprocal of X and Y = 1/12
1/ X + 1/ Y = 1/12 ..... equation 2
(X + Y)/ XY = 1 /12
(X + Y)12 = XY... equation 3
from equation 1, we can write, Y = 50 - X
putting this value of Y in the equation 3
12X + 12(50 - X) = X(50 -X)
12X + 600 - 12X = 50X - X²
X² - 50X+600= 0
from the formula for quadratic equation, X = [50 ±√ (50² - 4×600)] / 2×1
X = (50±10) / 2
X = 30, 20
Y = 50 -30 = 20
Y = 50- 20 = 30
hence, the 2 numbers are 20 and 30.
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-12 is tess then or grater then -4
Answer: Less than
Step-by-step explanation: -4 is closer to 0 than -12, which makes -4 greater than -12, or "-12 is less than -4"
Answer:
Less than.
Step-by-step explanation:
Negatives are known opposite of positives. The higher the positive, the greater it is. Except, negative is different; the higher the negative, the less it is.
Elise built a large rectangular vegetable garden that is 9 meters long and has an area of 72 square meters.
What is the perimeter of Elise’s vegetable garden?
Answer ASAP!!
im timed!!!
give me an answer ASAP
Answer: 34 meters.
Step-by-step explanation;
Step One. Find the value of the width. Use an equation with w representing the width and the two values you already have. 9 meters x w = 72 square meters.
Step Two. Solve for width. This is w = 8.
Step Three. Use the value for width in a perimeter formula to calculate the perimeter; 9(2) + 8(2). This is 34 meters for perimeter.
Answer:
Hi
Step-by-step explanation:
Reuben made a shirt using 7/8yards of red fabric and 1/4yards of yellow fabric. How many more yards of red fabric did Reuben use?
Answer and Step-by-step explanation:
To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:
7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8
So, Reuben used 5/8 yards more red fabric than yellow fabric.
greatest common factor of 24 and 32
Answer:
The GCF is 8
Step-by-step explanation:
A research worker gave a scholastic aptitude test to a sample of eighth graders. Then he correlated the aptitude test scores with the chronological ages of the subjects. He found a correlation of - .42. How should this result be interpreted?
Answer: There is an moderate relationship between the aptitude test scores with the chronological ages of the subjects.
Step-by-step explanation:
The correlation coefficient tells about the strength and direction of the relation ship between any 2 variables. When the value of correlation coefficient lies between -0.5 to -0.3 or 0.3 to 0.5, then it indicates that there is moderate association between variables.Here , variables → aptitude test scores and chronological ages of the subjects.
Since correlation coefficient (-0.42) lies between -0.5 and -0.3 .
[-0.5< -0.42< -0.3]
That means there is an moderate relationship between the aptitude test scores with the chronological ages of the subjects.
A sofa chair has a retail price of $260 and it is on sale at a 30% discount. How much less
is the sale price than the retail price?
A $54
B$72
C$78
D $182
(WILL MARK BRAINLIEST
Answer:
C. 78
Step-by-step explanation:
The answer is 78 since all your doing is finding 30% of 260. 30% of 260 equals 78. Hence, the sale price is $78 less than the retail price.
Use this table to answer the question. Round to the nearest percent.
Car Plane Train Total
Green 120 250 500 870
Blue 150 350 750 1250
Yellow 170 200 450 820
Red 200 300 300 800
Brown 220 450 320 990
Total 860 1550 2320 4730
What percent of Planes are Green?
There are 29% of the Planes are Green.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
Total number of green planes = 250
The total number of green vehicles = 870
The percent of green planes = (number of green planes/number of total green vehicles) x 100
The percent of green planes = (250/870) x 100
The percent of green planes = 0.2873 x 100
The percent of green planes = 28.73
Round to the nearest percent, and we get
The percent of green planes = 29%
Thus, 29% of Planes are Green.
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The curvature of a circle is inversely proportional to its radius. What is the exact circumference of a circle with one-third the curvature of a circle of radius 1?
The circumference of a circle with one-third the curvature of a circle of radius 1 is 18.85 units
What is circumference ?
The perimeter of a circle is known as its circumference. It is the length of the circle's whole perimeter. The diameter of a circle and the constant are multiplied to get the circumference of the circle. This measurement of a circle's circumference is necessary for someone to cross a circular park or for a circle-shaped table to have a border. The units of the circumference are the same as the units of length and it is a linear value.
If a circle has a radius of 1,
the curvature is inversely proportional to this
So, the curvature= 1
A circle with a curvature of 1/3 :
radius=3
Thus, the circumference of the circle = 2 *π * radius
= 2*π * 3
= 6π
≈ 18.85 units
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Suppose you run 4 miles from your house to a friends house at the speed of 7 miles per hour. When the time comes to return home, you are tired and walk the same 4 miles home at 3 miles per hour.
(The first question is how long did you spend running to your friends house)
9514 1404 393
Answer:
a. 0.6 h
b. 1.3 h
c. C -- No
d. 4.2 mi/h
Step-by-step explanation:
a. The relationship between time (t), speed (s), and distance (d) is ...
t = d/s
The time spent running 4 miles at 7 miles per hour is ...
t = (4 mi)/(7 mi/h) = (4/7) h ≈ 0.6 h
__
b. The time spent walking home is ...
t = (4 mi)/(3 mi/h) = 4/3 h ≈ 1.3 h
__
c. C -- No, less time is spent at 7 mi/h
__
d. The average speed is ...
s = d/t = (4 mi +4 mi)/(4/7 h +4/3 h) = (8 mi)/(40/21 h) = 4.2 mi/h
For two n by n square matricies A and B,
suppose rankA = rankB = n-1.
Can rank(AB) become less than n-1 ?
(e.g. rank (AB) = n-2)
If so, I humbly ask you for an example.
Thank you very much.
No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.
According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.
If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.
Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.
However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.
Therefore, if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.
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Shopping at Kohl's, Lisa buys her children four shirts and three pairs of pants for $85.50. She returns the next week and buys three shirts and five pairs of pants for $115.00.
Answer:
Step-by-step explanation:
x=shirt
y=pants
a) First week 4x+3y=85.50
b)3x+5y=115.00
C)
D) This point represent when the price is the same but the number of shirt are different for the first and second week.
I need to find the value of x. can you help me?
The angle on a line is 180°
The sum of the three given angles is 180°:
\((6x-10)+(x-5)+(x-5)=180\)Use this equation to find the value of x:
\(\begin{gathered} 6x-10+x-5+x-5=180 \\ 8x-20=180 \\ 8x=180+20 \\ 8x=200 \\ x=\frac{200}{8} \\ \\ x=25 \end{gathered}\)Then, the value of x is 25Question is in the picture, please explain your answer with steps.
Solving a system of equations we can see that the washer costs $750, and the dryer costs $250.
How to find the costs?Let's define the variables:
x = cost of the washer.
y = cost of the dryer.
We know that the cost combined is $1000, then:
x + y = 1000
And the washer cost 3 times the cost of the dryer, then we will get:
x = 3y
So we have a system of equations, we can replace the second equation into the first one, so we will get:
3y + y = 1000
4y = 1000
y = 1000/4
y = 250
The cost of the washer is:
x = 3*250 = 750
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What is 3/4 of two gallons
Answer:
1.5 gallons
Step-by-step explanation:
(3/4) × (2 gallons) = 1.5 gallons
HOPE THIS HELPS AND HAVE A NICE DAY <3
Which of the following are point-slope equations of the line going through (-3,-5) and (2,4)
Answer:
y+5 = 9/5(x+3)
y - 4 = 9/5(x-2)
Step-by-step explanation:
First find the slope
m = ( y2-y1)/(x2-x1)
= ( 4- -5)/(2 - -3)
= ( 4+5)/(2+3)
= 9/5
Then using the point slope form
y -y1 = m(x-x1) where x1 and y1 are a point on the line
y - -5 = 9/5(x- -3)
y+5 = 9/5(x+3)
or using the other point
y - 4 = 9/5(x-2)
In a survey of 2266 adults, 736 say they believe in UFOs. Construct a 90% confidence interval for the population proportion of adults who believe in UFOs. A 90% confidence interval for the population proportion is ( ?, ?).
(Round to three decimal places as needed.)
Part 2
Interpret your results. Choose the correct answer below.
A.
With 90% probability, the population proportion of adults who do not believe in UFOs is between the endpoints of the given confidence interval.
B.
The endpoints of the given confidence interval shows that 90% of adults believe in UFOs.
C.
With 90% confidence, it can be said that the population proportion of adults who believe in UFOs is between the endpoints of the given confidence interval.
D.
With 90% confidence, it can be said that the sample proportion of adults who believe in UFOs is between the endpoints of the given confidence interval.
The 90% confidence interval for the population proportion of adults who believe in UFOs is (0.309, 0.339).
C. With 90% confidence, it can be said that the population proportion of adults who believe in UFOs is between the endpoints of the given confidence interval.
To construct a 90% confidence interval for the population proportion of adults who believe in UFOs, we can use the formula:
Confidence Interval = Sample Proportion ± Margin of Error
First, we calculate the sample proportion:
Sample Proportion \(\hat{p}\) = Number of adults who believe in UFOs / Total number of adults surveyed = 736 / 2266 ≈ 0.324
Next, we need to calculate the margin of error.
Since we are dealing with a large sample size, we can use the formula for a 90% confidence interval:
Margin of Error\(= Z \times \sqrt{(\hat{p} \times (1 - \hat{p}) / n)}\)
Here, Z represents the z-value for a 90% confidence level, which corresponds to a z-value of 1.645. n represents the sample size.
Margin of Error\(= 1.645 \times \sqrt{(0.324 \times (1 - 0.324) / 2266)}\) ≈ 0.015
Finally, we can construct the confidence interval:
Confidence Interval = 0.324 ± 0.015 = (0.309, 0.339)
Therefore, the 90% confidence interval for the population proportion of adults who believe in UFOs is (0.309, 0.339).
Now, let's interpret the results.
The correct answer is:
C. With 90% confidence, it can be said that the population proportion of adults who believe in UFOs is between the endpoints of the given confidence interval.
This means that we are 90% confident that the true proportion of adults who believe in UFOs falls within the range of 0.309 to 0.339.
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Describe a single transformation of △ABC that is a composition of the following pair of transformations:
T<−5,−3>(ABC) followed by T<−4,−2> (A'B'C).
A. T<−1,−5>(ABC)
B. T<−9,−5>(ABC)
C. T<−9,−1>(ABC)
D. T<−1,−1>(ABC)
The required overall translation is T<−9,−5>(ABC). The correct answer would be option B.
What is a transformation?A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.
Starting with triangle ABC, we first apply the transformation T<−5,−3>, which means each vertex of the triangle is shifted 5 units to the left and 3 units down. So the triangle becomes A'B'C'.
Next, we apply the transformation T<−4,−2> to triangle A'B'C', meaning that each vertex is shifted 4 units to the left and 2 units down.
To find the overall effect of these two transformations, we can think of the second transformation as shifting the entire triangle produced by the first transformation.
In other words, we're combining the effects of the two transformations by adding the translations together.
So, the overall translation is T<−5 + −4, −3 + −2> = T<−9,−5>,
Thus, the correct answer would be option B: T<−9,−5>(ABC).
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Please help find the radius, circumference, and area