Answer:
IIII..I.I.I.I.I.I.I.I.I.I.I.I.I.I.I.I.I.I.I.I..II..II.I.
Step-by-step explanation:
EAS1
Find the vertices and foci of the hyperbola with equation
(x + 2)^2/144 - (y-4)^2/81 =1
Answer:
Here is your answer:
Step-by-step explanation:
Allison works at a Bank. Her employer offers her a retirement pension plan which will be 1.75% of her average salary for the last five years of employment for every year worked. Allison is planning on retiring after working at the Credit Union for 32 years. Her salaries over the last five years are $70,000; $73,100; $75,200; $77,500; and $79,000. Calculate Allison's annual pension.
9514 1404 393
Answer:
$41,977.60
Step-by-step explanation:
Allison's average salary for the last 5 years is ...
(70 +73.1 +75.2 +77.5 +79)/5 = 74.96 . . . . thousand dollars
Then her annual pension is ...
1.75% × $74,960 × 32 = $41,997.60
A circular table top has a radius of 24 inches.
What is the area of the table top, to the nearest square inch? Use 3.14 for Pi.
Answer:
1809 in²
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Area of a Circle Formula: A = πr²
r is radiusStep-by-step explanation:
Step 1: Define
Identify
r = 24 in
Step 2: Find Area
Substitute in variables [Area of a Circle Formula]: A = (3.14)(24 in)²Evaluate exponents: A = 3.14(576 in²)Multiply: A = 1808.64 in²Round: A ≈ 1809 in²Answer:
Area of circular table is 1,809 inches².
Step-by-step explanation:
Area of circular table is given by
Area = π r²
substitute the values
Area = 3.14 × ( 24 inches )²
evaluate the exponent
Area = 3.14 × 576 inches²
multiply the numbers
Area = 1,808.64 inches ²
Round
Area = 1,809 inches²
what are the multiples of 5 between 61 and 69
Answer:
I think it is 65 because we can divide it by 5
Answer:
i think there is only one multiple which is 65
Can someone help me
which expression represents these words?
8 more than the quotient of 32 and 4
A. (32-4)+8
B. 32÷4-8
C. (32-4)-8
D. 32÷4+8
Answer:
(32 ÷4) +8
Step-by-step explanation:
More than means it comes after
quotient of 32 and 4
32÷ 4
8 more than
(32 ÷4) +8
Find the perimeter of the figure.
Answer:
below
Step-by-step explanation:
p = 2( a + b)
p = 2(24 +16)
p =80 in
p semicircle
=πr
= 3.142 *8
= 25.136
p of figure
p =80 +25.136
p=105.136 in
Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 16 feet and a height of 19 feet. Container B has a diameter of 20 feet and a height of 15 feet. Container A is full of water and the water is pumped into Container B until Container A is empty.
To the nearest tenth, what is the percent of Container B that is empty after the pumping is complete?
18.9% is the answer
Step-by-step explanation:
volume of a cylinder = πd²/4 x h
where d is diameter and h is height of cylinder.
thus
vol of A is
[tex]vol \: of \: a \: = \pi \times \frac{ {d}^{2} }{4} \times h \\ = \pi \times \frac{ {16}^{2} }{4} \times 19 \\ = \pi \times 4 \times 16 \times 19 \\ = 3818.24[/tex]
and
[tex]vol \: of \: b = \pi \times \frac{ {20}^{2} }{4} \times 15 \\ = \pi \times 5 \times 20 \times 15 \\ = 4710[/tex]
difference in vol of a and b is
[tex]diff \: = vol \: of \: b \: - vol \: of \: a \\ = 4710 - 3818.24 \\ = 891.76[/tex]
this volume will remain empty after container A is pumped into container B.
this volume as a percentage of total volume of B is
[tex]\% = \frac{diff \: vol}{total \: vol} \times 100 \\ = \frac{891.76}{4710} \times 100 \\ = 18.9\%[/tex]
30% of a sum of money is $234.
Use this fact to work out:
a 60%
b 90%
C 15%
d 3%
of the same amount.
Answer:
just took it, 15%
Step-by-step explanation:
I just took it online on ed
Answer:
30/100 × Y= 234
Y= 234÷30=7.8
7.8×100= 780
So the money is $780
Step-by-step explanation:
a. 60/100× 780 = $468
b. 90/100× 780 = $702
c. 15/100× 780= $117
d. 3/100 × 780= $23.4
Question 1 of 10
What is the x-intercept of the function graphed below?
The "x-interept" is the point where the graph crosses the x-axis.
From here, it looks like this graph crosses the x-axis where x=2 .
So the point is (2, 0) .
That's choice-A .
Given m||n find the value of x.
Answer:
x =17
Step-by-step explanation:
The angles are supplementary so they add to 180
6x-20 + 6x - 4 = 180
12x -24 = 180
Add 24 to each side
12x-24+24 = 180+24
12x = 204
Divide by 12
12x/12 =204/12
x = 17
Find the volume of the composite solid. Round your answer to the nearest
tenth.
Answer:
Answer D
Step-by-step explanation:
pi * 3 * 12 gives roughly 113. Even ignoring the exact value of the ball shape cut in half, it's the only remotely plausible solution
brainliest should be possible with 2 answers btw
Can you help me please
Answer:
mid point=(x1 + x2)/2 (y1 + y2)/2
(-5+5)/2 and (-7+4)/2
0 and 1.5
midpoint=(0,1.5)
is it possible to make a triangle with a measure of 1o m 6m and 7m
Answer:
Step-by-step explanation:
So basically you
Then you have to
And finally the answer is
Free question answer for points. If its correct ill mark brainliest
Answer:
[tex]14. \\841\rightarrow 800\\\\15.\\750[/tex]
Step-by-step explanation:
14:
Round the highest place means keeping the farther non-zero digit to the left, then rounding. Therefore, there should only be one non-zero digit in our final answer. The only answer choice that follows this and correctly rounds is [tex]\boxed{841\rightarrow 800}[/tex]
15:
There are 30 days in November. Therefore, the number of pages typed is equal to [tex]30\cdot 25=\boxed{750}[/tex]
Answer:
.
Step-by-step explanation:
What is the sum of the polynomials?
(m + n + 3) + (m + n + 4)
Answer:
i honestly dk but need help
Step-by-step explanation:
ls
Answer:
2m+2n+7
Step-by-step explanation:
See image below:)
Write the equation of the circle whose center is (-4,8) and has a diameter of 18
Answer:
(x + 4)^2 + (y - 8)^2 = 81
or
(x + 4)^2 + (y - 8)^2 = 9^2 depending on how your teacher wants it written.
Step-by-step explanation:
The standard form for a circle is
(x + h)^2 + (y + k)^2 = r^2
r is the radius.
You are given the diameter
r = d/2
r = 18/2
r = 9
So you already have the right hand side of the equation
(x + h)^2 + (y + k)^2 = 9*2
(x + h)^2 + (y + k)^2 = 81
You basically have h and k as well. They come from the center point.
h = 4
k = - 8
So the equation of the circle (and the answer) is
(x + 4)^2 + (y - 8)^2 = 81
One question remains. Why do the x and y values change signs? If you know what the distance formula is, then what you are finding is the distance r of all points on the circle from the center of the circle.
It is the distance formula that is actually the formula for the circle.
prove by factorization √16×81=√16×√81
Answer:
√16×81 = 4×9 or √1296 = 36
√16×√81 = 4×9 = 36
Step-by-step explanation:
√81×16
We simplify 81 and 16 by prime factorisation (expressing a number as a product of its prime factors).
√81 = √3×3×3×3 = √9×9 = √9² = 9
√16 = √2×2×2×2 = √4×4 = √4² = 4
This circle is centered at the origin, and the length of its radius is 8. What is the circle's equation? 5 A. X+ y = 8 B. x2 + y2 = 64 O c. x2 + y2 = 8 D. X8+ y = 64
Answer:
Step-by-step explanation:
A circle centered in [tex]P(x_o,y_o)[/tex] an radius [tex]r[/tex] has a equation:
[tex](x-x_o)^2+(y-y_o)^2=r^2[/tex]
So, your equation wold be:
[tex](x-0)^2+(y-0)^2=8^2\Rightarrow x^2+y^2=64[/tex]
The correct circle's equation with radius 8 is,
⇒ x² + y² = 64
What is mean by Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Given that;
This circle is centered at the origin, and the length of its radius is 8.
Since, The general equation of circle with center (h, k) and radius r is,
⇒ (x - h)² + (y - k)² = r²
Here, Center = (0, 0)
Radius = 8
Hence, The correct circle's equation with radius 8 is,
⇒ (x - h)² + (y - k)² = r²
⇒ (x - 0)² + (y - 0)² = 8²
⇒ x² + y² = 64
Thus, The correct circle's equation with radius 8 is,
⇒ x² + y² = 64
Learn more about the circle visit:
https://brainly.com/question/24810873
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There are two aircraft carriers, A and B, and carrier A is longer in length than the carrier B.
The total length of these two carriers is 4198 feet, while the difference of their lengths is only
10 feet.
Answer:
Carrier A is 2,104 feet and Carrier B is 2,094 feet.
Step-by-step explanation:
Since there are two aircraft carriers, A and B, and carrier A is longer in length than the carrier B, and the total length of these two carriers is 4198 feet, while the difference of their lengths is only 10 feet, to determine the length of each aircraft carrier, the following calculation must be performed:
(4,198 - 10) / 2 = X
4.188 / 2 = X
2,094 = X
2,094 + 10 = 2,104
2,094 + 2,104 = 4,198
Therefore, Carrier A is 2,104 feet and Carrier B is 2,094 feet.
6 1/8 qt = ___ c please help
Answer:
24 1/2 cups
Step-by-step explanation:
we can change 6 1/8 into 49/4
there are 2 cups in 1 quart
now we can set up a proportion:
2÷1 = 'c'÷ 49/4
cross-multiply to get:
49/4 × 2 = c
49/2 = c
c = 24.5
A student is running a 3-kilometer race. He runs 1kilometer every 2minutes. Select the function that describes the distance from the finish line after xminutes
Answer:
(0.5X) - 3 = Distance from the finish line
Step-by-step explanation:
Given that a student is running a 3-kilometer race, and runs 1 kilometer every 2 minutes, to determine the function that describes the distance from the finish line after X minutes, the following calculation must be performed:
1 = kilometers for every 2 minutes
X = every number of minutes
1/2 = 0.5 = kilometers per minute
(0.5X) - 3 = Distance from the finish line
Thus, if the student runs for 4 minutes, the equation would operate as follows:
0.5 x 4 - 3 = X
2 - 3 = X
-1 = X
HELP ME WITH THIS PLSSS!!!
A circle has been divided into three equal angles. is each angle acute obtuse or right?
Answer:
obtuse
Step-by-step explanation:
A circle is 360 degrees
Divide by 3
360/3 =120
This is greater than 90 and less than 180 so it is obtuse
Complete the function table. i really need help please
Answer:
Here ya go
Step-by-step explanation:
what is the probability of throwing an odd number with a fair die
Answer:3/6 or 1/2
Step-by-step explanation::So a fair die has 6 sides so it would be soemthing out of 6 we know their 3 odd number on the die so that means it would be 3/6 or 1/2 that yu would land a odd number.
Sherrie travels 120 miles in 3 hours. Find the unit rate of speed missing number.
Answer:
The unit rate of speed is 40 miles per hour.
Step-by-step explanation:
Since Sherrie travels 120 miles in 3 hours, to find the unit rate of speed the following calculation must be performed:
3 = 120
1 = X
(1 x 120) / 3 = X
120/3 = X
40 = X
Therefore, the unit rate of speed is 40 miles per hour.
The ration of men to women in a community is 25:12.If there are 240 women..(i) how many men are in the community?..(ii) What is the total number of people in the community?
Answer:
500 men
740 total people in community
Step-by-step explanation:
25:12 ratio
When using a ratio both sides should go up the same amount of times to get the number you are trying to reach. Since the women's amount was 240 we need to find the times it took to get from 12 to 240. You take the 240 and divide by 12. We find that the 12 was multiplied 20 times to get to 240. So you turn to the men's side and find the amount using the 25. We use X to signify the amount we are trying to find and the amount of times that 25 goes into X will be 20 to keep the ratio of men to women as specified. When solving for X you multiply both sides of the equation by 25 to find the amount. X will equal 500 (=20*25).
Then 240 women plus 500 men equals to 740 people in the community.
Women
240/12 = 20
Men
X/25=20
X=20*25
X=500
240 women+500 men=740 people
What is the result of subtracting the second equation from the first
Answer:
[tex]5x -2y = -2[/tex]
Step-by-step explanation:
Given
[tex]-2x + y = 0[/tex]
[tex]-7x + 3y = 2[/tex]
Required
Subtract (2) from (1)
This gives:
[tex]-2x - -7x +y - 3y = 0 -2[/tex]
[tex]5x -2y = -2[/tex]
Solve the system of equations.
y = x + 4
y = x2 + 2
Answer:
(2,6) and (-1,3)
Step-by-step explanation:
Hi there!
We're given the system of equations:
y=x+4
y=x²+2
and we need to solve the system
You may first notice that both equations are equal to y, so we can set them to equal each other via a property known as transitivity (if a=b and b=c, then a=c)
x²+2=x+4
subtract x from both sides
x²-x+2=4
subtract 4 from both sides
x²-x-2=0
we can factor the polynomial
the numbers that add up to -1 and multiply to get -2 are -2 and 1
(x-2)(x+1)=0
solve
x=2, x=-1
both values of x work- so we'll have 2 solutions in this case
now we need to solve for y; we can do this by substituting the value of x into one of the equations to solve for y
let's use y=x+4
so if we'll use x=2,
y=2+4
y=6
one solution will be (2,6)
and if we use x=-1
y=-1+4
y=3
and the other will be (-1,3)
Hope this helps! :)
Is w = 8 a solution to the equation 5 + w = 58? Explain
No.
Since w = 8, you must replace the variable with the number associated to it.
So, it would be 5 + 8 = 58
5 + 8 is not equal to 58, it is equal to 13.
If you wanted to find out what w was, simply subtract 5 on both sides.
w = 58 - 5