Answer:
range is y-coordinates so it should be 40
Step-by-step explanation:
domain is x-coordinates
A satellite dish is in the shape of a parabolic surface. Signals coming from a satellite strike the surface for the dish and are reflected to the focus, where the receiver is located. The satellite dish has a diameter of 14 feet and a depth of 3 feet. How far from the base of the dish should the receiver be placed? Round your answer to the nearest tenth.
Answer:
Given that we know the base of the parabola is at the origin, and that it is symetrical about the y-axis, we can simplify the equation to
y=ax2=14px2" role="presentation" style="display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 16.66px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">y=ax2=14px2y=ax2=14px2
which corresponds to the given equation a=14p" role="presentation" style="display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 16.66px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">a=14pa=14p given above.
Since y=6" role="presentation" style="display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 16.66px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">y=6y=6 when x=2" role="presentation" style="display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 16.66px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">x=2x=2,
6=a(2)2=4a" role="presentation" style="display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 16.66px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">6=a(2)2=4a6=a(2)2=4a
and
a=32" role="presentation" style="display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 16.66px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">a=32a=32
Thus we have
32=14p12p=2p=16" role="presentation" style="display: table-cell !important; line-height: 0; text-indent: 0px; text-align: center; text-transform: none; font-style: normal; font-weight: normal; font-size: 16.66px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 3.337em; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; width: 10000em; position: relative;">32=14p12p=2p=1632=14p12p=2p=16
So, the receiver should be placed 16" role="presentation" style="display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 16.66px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">1616 of a foot, or 2 inches, above the base.
A truck driver drives at an average rate of 43 miles per hour.
At this rate, how many miles will he drive in 11 hours?
A: 473 miles
B: 54 miles
C: 483 miles
D: 55 miles
Mr Paul has 4 bars of chocolate. He distributes 1/3
of each bar to 4 children.
a) Write the fraction of chocolate distributed.
b) Write the fraction of cholates left with Mr. Paul
a) The fraction of chocolate distributed is given as follows: 4/3.
b) The fraction of chocolates left with Paul is given as follows: 8/3.
How to obtain the fractions?The fractions are obtained applying the proportions used in the context of this problem.
He distributes 1/3 of each bar to 4 children, hence the total number of bars distributed is given as follows:
4 x 1/3 = 4/3.
(multiplication of fractions, multiply the numerators and the denominators, keeping the quotient).
The total number of bars that Paul had initially is given as follows:
4 bars.
Then the fraction of chocolate remaining with Paul is given by the subtraction of the total amount of bars by the amount given to the children, as follows:
4 - 4/3 = 12/3 - 4/3 = 8/3 bars.
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Maya is solving the equation 2(1+7x)=72. She lists an explanation for each step as shown. Which is the missing explanation for Maya's first step after writing the given equation?
Answer:
apply the distrbutive property
Step-by-step explanation:
...........................
A couch and coffee table cost a total of $1172. The cost of the couch is three times the cost of the coffee table. Find the cost of each item.
Answer:
x + 3x = 1172, where x is the cost of the coffee table and 3x equals the cost of the couch.
4x = 1172
x = 293
thus, 3x = 293
293 x 3= 879
The couch is $879 and the coffee table is $293
Idil owns a small business selling clothing. She knows that in the last week 3
customers paid cash, 25 customers used a debit card, and 53 customers used a credit
card.
with
Based on these results, express the probability that the next customer will pay
cash or a credit card as a percent to the nearest whole number.
The probability that the next customer will pay cash or a credit card is 56%, since 3 customers paid cash and 53 customers used a credit card out of a total of 81 customers.
What is customers?Customers are individuals or organizations who purchase goods and services from a business. They play an important role in a company's success as they provide the revenue needed to sustain and grow the business. Customers become loyal to a business when they are provided with quality products, excellent customer service, and competitive prices. Companies that focus on customer satisfaction often develop long-term relationships with their customers, as they understand the importance of customer loyalty. Companies must strive to continually meet the changing needs of their customers in order to remain successful in the long term.
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pls help i’ve been stuck on this question ‼️
Is a function that can be graphed
as a solid line discrete or continuous?
Linear function Is a function that can be graphed as a solid line discrete or continuous
What is a linear function?Linear functions are simply known as functions whose graph is a straight line.
They have one dependent variable and one independent variable.
These functions have either one or two variables without exponents.
Continuous graphs are used to represent functions that are continuous along their entire or whole domain.
Whereas, discrete graphs are used to represent values at specific points along the number line from different directions.
Types of the linear function;
Direct variationslope-intercept formstandard formpoint-slope formHence, it is a linear function
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For every boy taking classes at the music school, there are 3 girls who are taking classes at the school. If there are 128 students taking classes, write and solve a proportion to predict the number of girls taking classes at the school.
Answer:
96
Step-by-step explanation:
please help me this is. big
Answer:
C. = 69.5
Step-by-step explanation:
The median or the average between 80 and 59 is 69.5
Hope this helps! :)
Find the area of the parallelogram below.
Answer: 58 i think
Step-by-step explanation: i guess you have to add sorry if it wrong
What is the area of a circle with a diameter of 14 meters? Leave the answer in terms of π.
49π square meters
7π square meters
196π square meters
14π square meters
Therefore , the solution of the given problem of circle comes out to be Area = 154 meter square or 49π meter square option 1 is correct.
Circle – what is it?A moving point on a plane is followed so that its distance from a specific point remains constant to produce the circular form known as a circle. The English term circle derives from the Greek word kirkos, which meaning hoop or ring. Area of circle= πr²
Here,
Given :
Diameter of circle : 14
Radius =14/2 = 7 meters
and
Using formula
Area= πr²
=> Area = π7²
=>Area = 22/7 * 7²
=> Area = 22*7
=> Area = 154 meter square or 49π meter square
Therefore , the solution of the given problem of circle comes out to be Area = 154 meter square or 49π meter square option 1 is correct.
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Answer: A the first one 49π square meters
What would y be? If x is 9 m
Mark's school is 5 kilometers away from his home. There are about 0.62 miles in 1 kilometer. About how many miles is Mark’s school from his home?
Answer:
3.1 miles
Step-by-step explanation:
(5 km)(0.62 mi/km) = 3.1 miles
Pls answer will mark brainliest! Ashlyn is having new hardwood flooring installed at the living room kitchen and dining room if the flooring cost $4.25 per square foot, how much will she spend?
Answer:
$580.13Step-by-step explanation:
The area of the flooring:
A = 1/2*8*(13.5 - 7.5) + 1/2(8 + 4 + 18)(7.5) = 136.5 ft²Cost of flooring:
136.5*$4.25 = $580.13the sum of three numbers is 124. the third number is 4 times the first. the second number is 10 more than the first what are the numbers
Answer:
19,29,76
Step-by-step explanation:
x=first number
x+10=second number
4x=third number
add three numbers to equal 124.
x+(x+10)+4x=124
6x=114
x=19 first number
x+10 0r
19+10=29 second number
4x or
4(19)=76 third number
19+29+76=124
124=124
Edgar accumulated $9,000 in credit card debt. If the interest rate is 30% per year and he does not make any
payments for 2 years, how much will he owe on this debt in 2 years by compounding continuously?
Answer:
$16399.06Step-by-step explanation:
Given
Debt amount P = $9000Interest rate r = 30% = 0.3Time t = 2 yearsCompound number = continuousUse formula
A = Pe^(rt)A = 9000*e^(0.3*2) = $16399.06Alisa needs 4.65 feet of fencing to
complete the fence she is building.
She has a piece of fencing that is 4 ft
long. Does she have enough fencing?
Explain.
No Alisa do not have enough fence.
What is perimeter?The perimeter of an object is given by adding the side lengths of the object.
Given that Alisa needs 4.65 feet of fencing to complete the fence she is building. She has a piece of fencing that is 4 ft long.
We need to determine whether she have enough fencing or not,
Since we know that the fencing can be considered as perimeter of the building,
So, if she only has 4 ft long fence, she cannot cover a 4.65 ft long fence.
Hence Alisa do not have enough fence.
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Find a formula for RN for the function f(x) = (5x)² on [-1, 5] in terms of N.
Could you please show the work? I was able to get the area but can't exactly figure out what they want for the formula.
Compute the area under the graph as a limit.
lim RN=1050
Therefore , R(N) = 100 + 400 (N+1)(2N+1) + 800 x N2 N3 and area are the formulas for R(N) for the function f(x) = (5x)2 on [1, 5] and the function f(x) = (5x)2 in terms of N. R(N) = 767(approx) (approx).
What is function?Each x value in the domain has one but only one y value range, according to the rule of a function. Definition. If there is only one and only one value of x variable such that f(x) = y, then the function is one-to-one.
Here,
In the given question, we have to find a formula for R(N) for the function f(x) =(5x)^2 on [1, 5] in terms of N.
The given function is f(x)=(5x)^2 on [1, 5].
Ax = (5-1)/N
Ax = 4/N
X = 1+iAx
X = 1+i4/N
f(x) = 25X^2
f(x) = 25(1+i4/N)^2
f(x) = 25(1+i8/N+16/N^2 i^{2})
R(N) = 1ƒ(X) Ax
Now putting the value of f(x) and Ax
R(N)==1 [25 (1+ &i + 16i2)]
R(N) = 1001 (1 +Ni + 16i2)
N100 (1+i+12)N
100 (N += i +122)+16 N(N+1)(2N+1)(+1)(2N+1)
R(N)=100 (N + √2/ N(N+1) x 100
R(N) =2/6× N + 100 × 5 × N(N+1) + 100 x 2
[tex]\lim_{n \to \infty}[/tex] R(N) = 100 + 400 + 800/3
[tex]\lim_{n \to \infty}[/tex] R(N) = 766.67
[tex]\lim_{n \to \infty}[/tex] R(N) = 767(approx)
Therefore , the solution of the given problem of function comes out to be [tex]\lim_{n \to \infty}[/tex] R(N) = 767(approx).
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In ΔHIJ, the measure of ∠J=90°, the measure of ∠H=15°, and JH = 54 feet. Find the length of HI to the nearest tenth of a foot
Answer:
46
Step-by-step explanation:
Pls help me, if you get it right I will give you Brainlist!
Answer:
Step-by-step explanation:
3.14x (3)^2
28.3ft
Answer:
The area of the circle is 28.3 [tex]ft^2[/tex].
Step-by-step explanation:
The formula to find the area of a circle is [tex]\pi r^2[/tex], where [tex]r[/tex] represents the radius of the circle. In this case, the area would be [tex]3.14 * 3^2 = 3.14 * 9 = 28.26[/tex] ≈ 28.3 [tex]ft^2[/tex].
What is the value of the expression below when x=2x=2?
8x^2 +6x-8
8x
2
+6x−8
The value of the expression 8x² + 6x - 8 below when x=2 is 36.
The value of the expression when x = 2The expression can be evaluated by following the steps below:
8x² + 6x - 8 in x = 2 means that the variable x will be replaced by the given number which is 2.
8*2² + 6*2 - 8
8*4 + 12 - 8
32 + 16 - 8 = 36
This therefore means that when x= 2 in 8x² + 6x - 8 , the value gotten will be 36.
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I need to evaluate the limit and I also need to show the work for it. Please help me out if you can.
Answer:
-6
Step-by-step explanation:
You can solve all math problems via Photo math application, you can download it from the store for free, it is easy to write the question via the camera and quickly display the final result with the solution steps.
Find the exact value of x.
Answer:
[tex]x = 4 \sqrt{3} [/tex]
Step-by-step explanation:
[tex] \frac{8}{2} = 4 \\ 4 \times \sqrt{3} = 4 \sqrt{3} [/tex]
Select all the relations which represent a function.
- (1,3), (2,5), (2,7), (4,9) (1,3), (1,5), (1,7), (4,9) 0 (1,2), (2,5), (2,1), (4,5)
(1,3), (2,5), (3,7), (4,9) (1,3), (2,3), (3,3), (4,3)
Therefore , (1, 3), (2, 5), (3, 7) (4, 9) and (1, 3), (2, 3), (3, 3) (4, 3) are the relations that represent a function.
Function is what?According to a function's rule, every x value in the domain has one and only one range of y values. Definition. A one-to-one function exists when there is just one and only one value of x such that f(x) = y.
Here,
The relationship is (1, 3), (2, 5), and (2, 7) (4, 9)
Given that 2 is repeated, the connection is not a function.
The relationship is (1, 3), (2, 5), and (3, 7) (4, 9)
Since there are no repeating numbers, the relation is a function.
The relationship stated is (1, 3), (1, 5), and (1, 7). (4, 9)
The relationship is not a 1 repeated function.
The relationships are (1, 3), (2, 3), and (3, 3). (4, 3)
Since there are no repeating numbers, the relation is a function.
The relationship stated is (1, 2), (2, 5), and (2, 1) (4, 5)
As 2 repeated, the relationship is not a function.
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Johnny bought 8 toy cars. The cars came in p packages. Write an expression that shows how many toy cars were in each package.
Answer:
p=8+x
Step-by-step explanation:
Which model can be used to represent
the number below?
Answer:
0.7
Step-by-step explanation:
The density of a certain material is such that it weighs 6900 grams for every 4.5 quarts of volume. Express this density in pounds per cubic foot. Round your answer to the nearest whole number.
The density in terms of pounds per cubic foot is 101.2 pounds/ft³
What is the unitary method?The unitary method is a method in which you find the value of a unit and then the value of a required number of units.
Given here; 6900 g for every 4.05 quarts thus expressing in terms of pounds per cubic foot we get = 15.22/0.15039
= 101.2
Hence, The density in terms of pounds per cubic foot is 101.2 pounds/ft³
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The graph of the function y = f(x + 26) can be obtained from the graph of
y = = f(x) by one of the following actions:
Answer:
left 26 units
Step-by-step explanation:
inside the parentheses means left or right, and it also means opposite direction.
Answer:
this question answer Iis left 26 units..
The ratio of the measure of an exterior angle of a triangle to the measure of the adjacent interior angle is 1:4. Is the
triangle acute or obtuse?
Justify your answer.
A.) Acute; the measure of the interior angle must be 144º.
B.)Acute; the measure of the interior angle must be 36°.
C.)Obtuse; the measure of the interior angle must be 144º
D.)The triangle could be acute or obtuse, depending on the measures of the other two angles.