Answer:
(0, -3)
Step-by-step explanation:
.
A school is arranging a field trip to the zoo. The school spends 732.36 dollars on passes for 30 students and 4 teachers. The school also spends 263.70 dollars on lunch for just the students. How much money was spent on a pass and lunch for each student?
What is the answer to this??
Find the scale factor of the dilation. Then tell whether the dilation is a reduction or an enlargement.
Simplify each expression for x 4
a. -5x4
b. 7x-3
1-The diameter and a tangent are parallel.
A) always true
B) never true
2-The tangent at point B and the radius to point B are perpendicular to each other.
A) always true
B) never true
Answer:
always true always true
Three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below. Kerri got a score of 80.8; this version has a mean of 62.1 and a standard deviation of 11. Cade got a score of 286.4; this version has a mean of 271 and a standard deviation of 22. Vincent got a score of 7.9; this version has a mean of 7.2 and a standard deviation of 0.7. If the company has only one position to fill and prefers to fill it with the applicant who performed best on the aptitude test, which of the applicants should be offered the job
Answer:
Kerri
calculate z scores z= (x - xbar)/stdev
Kerri = 1.7
Cade = .7
Vincent = 1
Step-by-step explanation:
The area of a square shaped tablecloth is 36 square feet. What is the perimeter of the tablecloth? Explain how you know.
Therefore, the perimeter of the tablecloth is 24 feet.
How should I format an area?A is the area, L is the length, W is the width, and * is the multiplicand. A denotes area, s denotes side length, and is the multiplication sign. Let's have a look at a few examples of how to calculate the area of rectangles. Example 1: Determine the dimensions of a square with 2-inch sides.
The area of a square is given by the formula A = s^2, where A is the area and s is the length of one of the sides of the square. In this case, we know that the area of the tablecloth is 36 square feet, so we can write:
36 = s²
Taking the square root of both sides, we get:
s = 6
So the length of one side of the square tablecloth is 6 feet. Since all four sides of a square are equal in length, the perimeter of the tablecloth is:
4s = 4(6) = 24 feet
Therefore, the perimeter of the tablecloth is 24 feet.
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The graph models the heights, in feet, of two objects dropped from different heights after x seconds.Which equation represents g(x) as a transformation of f(x)? g(x) = f(x) – 5 g(x) = f(x – 5) g(x) = f(x) + 5 g(x) = f(x + 5)
Answer:
g(x) = f(x) - 5
Step-by-step explanation:
Answer for edgenuity
Answer:
A, g(x)=f(x)-5
Step-by-step explanation:
g(x) is 5 units lower than f(x) so -5 and inside the parentheses would mean moving on the x axis but it is five lower on the y axis of g(x)=f(x)-5 is correct.
11. Mike has a 792-page book. If he reads 36 pages each day,
how many days will it take him to finish reading the book?
Answer:
22 days
Step-by-step explanation:
Number of pages divided by number of pages he reads per day
792 ÷ 36 = 22
Hope this helped :)
Answer:
22
Step-by-step explanation:
792÷36=22
ok??:)) isksjsix
I keep getting the wrong answer.
The volume of the solid obtained by rotating the region bounded by the curve y = 1 - (x - 5)² in the first quadrant about the y-axis is 51π cubic units.
What is the volume of the solid obtained by rotating the region in the first quadrant bounded by the given curve about the y - axis?To find the volume of the solid obtained by rotating the region bounded by the curve y = 1 - (x - 5)² in the first quadrant about the y-axis, we can use the method of cylindrical shells.
The formula for the volume using cylindrical shells is:
V = 2π ∫ [a, b] x * h(x) dx
Where:
- V is the volume of the solid
- π represents the mathematical constant pi
- [a, b] is the interval over which we are integrating
- x is the variable representing the x-axis
- h(x) is the height of the cylindrical shell at a given x-value
In this case, we need to solve for x in terms of y to express the equation in terms of y.
Rearranging the given equation:
x = 5 ± √(1 - y)
Since we are only interested in the region in the first quadrant, we take the positive square root:
x = 5 + √(1 - y)
Now we can rewrite the volume formula with respect to y:
V = 2π ∫ [c, d] x * h(y) dy
Where:
- [c, d] is the interval of y-values that correspond to the region in the first quadrant
To determine the interval [c, d], we set the equation equal to zero and solve for y:
1 - (x - 5)² = 0
Expanding and rearranging the equation:
(x - 5)² = 1
x - 5 = ±√1
x = 5 ± 1
Since we are only interested in the region in the first quadrant, we take the value x = 6:
x = 6
Now we can evaluate the integral to find the volume:
V = 2π ∫ [0, 1] x * h(y) dy
Where h(y) represents the height of the cylindrical shell at a given y-value.
Integrating the expression:
V = 2π ∫ [0, 1] (5 + √(1 - y)) * h(y) dy
To find h(y), we need to determine the distance between the y-axis and the curve at a given y-value. Since the curve is symmetric, h(y) is simply the x-coordinate at that point:
h(y) = 5 + √(1 - y)
Substituting this expression back into the integral:
V = 2π ∫ [0, 1] (5 + √(1 - y)) * (5 + √(1 - y)) dy
Now, we can evaluate this integral to find the volume
V = 2π ∫ [0, 1] (5 + √(1 - y)) * (5 + √(1 - y)) dy
To simplify the integral, let's expand the expression:
V = 2π ∫ [0, 1] (25 + 10√(1 - y) + 1 - y) dy
V = 2π ∫ [0, 1] (26 + 10√(1 - y) - y) dy
Now, let's integrate term by term:
\(V = 2\pi [26y + 10/3 * (1 - y)^\frac{3}{2} - 1/2 * y^2]\)] evaluated from 0 to 1
V = \(2\pi [(26 + 10/3 * (1 - 1)^\frac{3}{2} - 1/2 * 1^2) - (26 * 0 + 10/3 * (1 - 0)^\frac{3}{2} - 1/2 * 0^2)]\)
V = 2π [(26 + 0 - 1/2) - (0 + 10/3 - 0)]
V = 2π (25.5)
V = 51π cubic units
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help!! I have problem to solve this question
Answer:
Step-by-step explanation:
\(\frac{x-1}{2} =t\\\frac{y-2}{3} =t\\\frac{z-3}{4} =t\\so~eq.~of~line~L_{1}~is\\\frac{x-1}{2} =\frac{y-2}{3} =\frac{z-3}{4} \\its~d.r's~are~2,3,4\\again~\frac{x-2}{1} =s\\\frac{y-4}{2} =s\\\frac{z+1}{-4} =s\\so~eq. ~of~line~L_{2}~is\\\frac{x-2}{1} =\frac{y-4}{2} =\frac{z+1}{-4} \\its~d.r's ~are~1,2,-4\\let ~the ~d.r's~of~line~perpendicular~to~both~L_{1}~and~L_{2}~be~a,b,c,~then~\\2a+3b+4c=0\\1a+2b-4c=0\\solving\\\frac{a}{3*-4-4*2} =\frac{b}{4*1-2*-4} =\frac{c}{2*2-3*1} \\\)
\(\frac{a}{-20} =\frac{b}{-4} =\frac{c}{1} \\d.r's~of ~reqd~line~is~-20,-4,1~or~20,4,-1\)
now you find the point of intersection.
then calculate the angle.
16
The ideal width of a safety belt strap for a certain automobile is4 cm. An actual width can vary by at most 0.3
cm. Write an absolute value inequality for the range of acceptable widths, in centimeters.
IW - 41 303
0214
Answer:
|x - 4| ≤ 0.3
Step-by-step explanation:
The actual width = 4
Maximum variation, x = 0.3
Hence, the lowest width position based on actual width and possible variation is :
4 - 0.3 ≤ x ≤ 4 + 0.3
3.7 ≤ x ≤ 4.3
In a cinema, there are eight seats in a row. Four of the seats in one row are occupied. What fraction of seats are available in that row?
Answer:
\( \frac{1}{2} \)Step-by-step explanation:
Given,
There are 8 seats in a row.
There are 8 seats in a row.4 seats are occupied.
Available seats = 8 - 4 = 4 seats
Fraction of seats available:
\( \frac{number \: of \: seats \: available}{total \: number \: of \: seats} \)
\( = \frac{4}{8} \)
Reduce the fraction with GCF 4
\( = \frac{1}{2} \)
Hope this helps..
Best regards!!
Answer:
Your correct answer is that there are 4 seats available. The fraction version is 1/2
Step-by-step explanation:
Since there are 8 in a row and 4 are taken, subtract 8 by 4.
8 - 4 = 4 seats that are available.
Linear Inequalities
Anderson's Entertainment Bus Company charges a $19.95 flat rate for a party bus. In addition to that,
they charge $1.75 per mile. Chenelle has no more than $300 to spend on the party bus. At most, how
many miles can Chenelle travel without exceeding her spending limit?
Chenelle can travel at most 160 miles without exceeding her spending limit of $300.
We have,
To determine the maximum number of miles Chenelle can travel without exceeding her spending limit of $300, we need to subtract the flat rate from her budget and divide the remaining amount by the cost per mile.
So,
Subtract the flat rate from Chenelle's budget:
Budget after subtracting the flat rate.
= $300 - $19.95
= $280.05
Divide the remaining budget by the cost per mile to find the maximum number of miles:
Maximum miles = Budget after subtracting the flat rate / Cost per mile
= $280.05 / $1.75
Using division.
Maximum miles = 160.028571
Therefore,
Chenelle can travel at most 160 miles without exceeding her spending limit of $300.
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The perimeter of a playing card is 32 centimeters. It is 10 centimeters tall. How wide is it?
Answer:
Step-by-step explanation:
Its is
6CM wide. as to find the area we have to times the length x height :)
Answer:
wide = 6 cm
Step-by-step explanation:
\(t=tall=10\)
\(w=wide=?\)
\(P=perimeter=32\)
The equation:
\(P=2t+2w\)
\(32=2(10)+2w\\32=20+2w\)
\(32-20=2w\\12=2w\)
\(\frac{12}{2} =w\)
\(6=w\)
Hope this helps.
Solve 2^x-2=8^4 but not solving for x
Without explicitly solving for x, we can conclude that the solution to the equation 2^x - 2 = 8^4 is x = 12.
To solve the equation 2^x - 2 = 8^4 without explicitly solving for x, we can simplify the equation using exponent rules and observe the relationship between the numbers.
First, let's simplify the equation:
2^x - 2 = 8^4
We know that 8 can be expressed as 2^3, so we can rewrite the equation as:
2^x - 2 = (2^3)^4
Applying the exponent rule (a^m)^n = a^(mn), we can simplify further:
2^x - 2 = 2^(34)
Simplifying the right side of the equation:
2^x - 2 = 2^12
Now, we can observe that both sides of the equation have the same base, which is 2. In order for the equation to hold true, the exponents must be equal:
x = 12
Therefore, we may deduce that the answer to the equation 2x - 2 = 84 is x = 12 without having to explicitly solve for x.
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In a sightseeing boat near the base of the Horseshoe Falls at Niagara Falls, a
passenger estimates the angle of elevation to the top of the falls to be 30°.
If the Horseshoe Falls are 173 feet high, what is the distance from the boat
to the base of the falls?
Answer:
299.64 ft
Step-by-step explanation:
The diagrammatic representation of the problem has been attached below :
Applying trigonometry :
We use the relation :
Tanθ = opposite / Adjacent
Tan 30 = 173 / d
0.5773502 = 173 / d
0.5773502d = 173
d = 173 / 0.5773502
d = 299.64 ft
उक्त समयमा बसले कति दुरी पार गर्दछ ? Abusstarts from
rest. If the acceleration of the bus is 0.5m/s, what will be it's
ve ocity at the end of 2 minutes and what distance will it cover
during that time?
Answer:
The magnitude of the velocity will be 60 m/s.
The distance covered is 3,600 m
Step-by-step explanation:
Constant Acceleration Motion
It's known as a type of motion in which the velocity of an object changes by an equal amount in every equal period of time.
If a is the constant acceleration, vo is the initial speed, vf the final speed, and t the time, the following relation applies:
\(v_f=v_o+at\)
The distance traveled by the object is calculated as:
\(\displaystyle x=v_o.t+\frac{a.t^2}{2}\)
The bus starts from rest, i.e. vo=0, the acceleration is a=0.5 m/s^2. The magnitude of the velocity at t=2 minutes = 120 seconds is:
\(v_f=0+0.5\cdot 120=60 \ m/s\)
The magnitude of the velocity will be 60 m/s.
The distance covered during that time is:
\(\displaystyle x=0+\frac{0.5\cdot 120^2}{2}\)
\(\displaystyle x=\frac{7,200}{2}\)
x = 3,600 m
The distance covered is 3,600 m
Anthony received a score of 76% on his midterm exam, and his professor told him that his score was at the 68th percentile in his class of 125 students. Approximately how many students did as well as or better than Anthony on the midterm
Express the d= rt in terms of the time, t. Use the formula to find the time when the distance is 40 and the rate is 8.
Answer:
5
Step-by-step explanation:
Divide the expression by r on both times; d/r=rt/r. You'll remain with t=d/r.
then substitute t=40/8 which equals to 5.
Please help me with this I posted the pic
if x-y = 8 and xy=5 , find x^2 + y^2
Answer:
x² + y² = 74
Step-by-step explanation:
given
(x - y) = 8 ( square both sides )
(x - y)² = 8² ← expand left side using FOIL
x² - 2xy + y² = 64 ← substitute xy = 5
x² - 2(5) + y² = 64
x² - 10 + y² = 64 ( add 10 to both sides )
x² + y² = 74
Tutorial
A cylinder has a height of 17 centimeters and a radius of 15 centimeters. What is its volume?
Use 3.14 and round your answer to the nearest hundredth.
Answer:
Volume of the cylinder is 12016.5 cm³\( \\ \)
Step-by-step explanation:
Using formula:
\( \: \: \: \: \: \: \: \: \: \: {\underline{\boxed {\pmb{ \sf{Volume \: of \: cylinder = \pi r^2h}}}}} \: \pink\star \)
\( \\ \)
Where,
Height of cylinder is 17 cmRadius of the cylinder is 15 cm.Value of π = 3.14\( \\ \)
Substituting the required values in the above formula :
\( \\ \)
\( \dashrightarrow \sf \: \: Volume = 3.14 \times {(15)}^{2} \times 17 \\ \\ \)
\(\dashrightarrow \sf \: \: Volume = 3.14 \times 225 \times 17 \\ \\ \)
\(\dashrightarrow \sf \: \: Volume = 706.5 \times 17 \\ \\ \)
\(\dashrightarrow~~{\boxed {\pink{\pmb{\sf {Volume = 12016.5 \: {cm}^{3}}}}}} \\ \\ \)
Hence,
Volume of cylinder is 12016.5 cm³Answer :
12000 cm³⠀
Explanation :
We know,
\({ \longrightarrow \qquad{\boldsymbol {\pmb{ Volume_{(cylinder)} = \pi {r}^{2} h \: }}}}\)
Where,
r is the radius of the cylinder. Here, the radius is 15 cm . h is the height of the cylinder. Here, height is 17 cm Here, we will take the value of π as 3.14 approximately .⠀
Substituting the values in the formula :
\({ \longrightarrow \qquad{ { \sf{ Volume_{(cylinder)} = 3.14 \times ({15})^{2} \times 17 \: }}}}\)
⠀
\({ \longrightarrow \qquad{ { \sf{ Volume_{(cylinder)} = 3.14 \: \times 225 \times 17}}}}\)
⠀
\({ \longrightarrow \qquad{ { \sf{ Volume_{(cylinder)} = 3.14 \times 3825 }}}}\)
⠀
\({ \longrightarrow \qquad{ \pmb{ \sf{ Volume_{(cylinder)} = 12010.5 }}}}\)
⠀
Therefore,
The volume of the cylinder is 12000 cm³ . (Rounded to nearest hundredth)A fair coin is tossed three times. What is the probability of getting at least two heads?
which of the following numbers is a prime 2,4,1,9
Answer:
2
Explanation:
A prime number is a number that has two factors, 1 and itself.
The factors of the numbers are given below:
• 2 = 1, 2
,• 4 = 1, 2, 4
,• 1 =1
,• 9 =1, 3, 9
We conclude that 2 is a prime number.
A carpenter has $91 to buy wood. If each piece of wood costs $3, how many pieces can the carpenter buy?
Answer:
30 pieces----------------------------
Divide the total amount by the cost per piece:
$91 ÷ $3 = 30.3333Since the carpenter can only buy whole pieces of wood, they can buy 30 pieces.
Use the graph to find the y-intercept and axis of symmetry
Answer: (a) and (d)
Step-by-step explanation:
From the graph, vertex is at
Graph is same about the point \(x=2\) . Therefore, axis of symmetry is the line \(x=2\)
Y intercept is the place where curve intersect the Y-axis that is \((0,2)\)
Option (a) and (d) are correct.
do anybody know this
Answer:
The relationship between the number of rose plants and the number of roses is proportional.
Step-by-step explanation:
A graph is proportional if you can draw a straight line through all of the plotted points in one go
HAHA. YOU GOT IT WRONG ONYEBUCHINNAJI
WHY DID YOU EVEN PUT THIS NAME??
Answer:
free points ty
Kacie just bought a new house and needs to buy new sod for her backyard, if the dimensisons of her yard are 33.5 feet by 13.6 feet, what s the area if her yard