A large university accepts 70% of the students who apply. Of the students university, 25% actually enroll. If 20,000 students apply, how many enroll?
Answer:
350 enrolled
Step-by-step explanation:
.7 x 20000 = 1400
.25 x 1400 = 350
Answer:
3500
Step-by-step explanation:
20000 * 0.70 = 14000
14000 * 0.25 = 3500
The monthly rents (in dollars) paid by 9 people are given below.
(Note that these are already ordered from least to greatest.)
mean,median.
780,910,980,1000,1025,1045,1070,1095,1185
Suppose that one of the people moves. His rent changes from 1185 to 100
Answer:
increases by 30
Step-by-step explanation: its right
Jeff can run 2/9 of a mile in 1/3 of an hour. What is the unit rate that describes the miles per hour?
Tahir is twice as old as Faheem now. In 5 years, Faheem will be 10 years old. What is Tahir's age now? 15 25 10 20
Answer:
10
Step-by-step explanation:
10-5= 5
5*2=10
tahir is 10
Determine the number of solutions of this equation. Show your work and explain your reasoning.
7x + 5 = 2(4x + 3)
Express x²- 8x + 5 in the form (x - a)² - b where a and b are integers.
The expression will be;
⇒ (x- 4)² - 11
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ x² - 8x + 5
Now,
Solve the expression as;
⇒ x² - 8x + 5
⇒ x² - 8x + 16 - 16 + 5
⇒ (x- 4)² - 11
Thus, The value of the expression = (x- 4)² - 11
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What is the volume of a cylinder, in cubic cm, with a height of 19cm and a base
diameter of 10cm? Round to the nearest tenths place.
Answer:
549.8 cm (cubed)
Step-by-step explanation:
D3lt4 m4th 4n$wer
A coach took 3/1/2 hours to travel a distance of 240 km from Kuala Lumpur to Cameron Highlands. It travelled part of the journey at an average speed of 60km/h and the rest of the journey at 75km/h. Calculate the distance it travelled at 60km/h.
Step-by-step explanation:
He travelled 108 km in speed of 65km/h.
A terrarium is 9 inches wide, 16 inches long, and 10 inches high. The terrarium is filled halfway with dirt. How many cubic inches of dirt will be in the terrarium?
HELPPP ASAPPP !!!
2. Point A on the graph below represents Nate's house, and Point B represents Nate's favorite restaurant. B A If each unit on the graph represents 3/4 of a mile, how many miles does Nate live from his favorite restaurant?
Answer:
10miles I think
Step-by-step explanation:
The required distance between, Nate's house and the restaurant is 7.5 miles.
From the graph,
Consider point C on the graph, which is 6 and 8 units apart from A and B respectively.
The distance between, Nate's house and the restaurant is given as,
AB = √[AC² + BC²]
AB = √[6² + 8²]
AB = 10 units
Now 1 unit = 3/4 miles
AB = 10 * 3/4
AB = 7.5 miles
Thus, the required distance between, Nate's house and the restaurant is 7.5 miles.
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(3 * 2)2/6 - 5 + (4 - 1)2?
Answer: The answer is 3.
Answer:
3
Step By step:
Find the intersection if possible: [-5,6) ∩ (5,9]. Express your answer in interval notation.
The intersection consists of the elements that are contained in all of the intervals.
(5,6) is the answer
Please let me know if im wrong!
For process in control, we expect Pfo of the points on process control chart to fall within the UCL and the LCL: would like to Show Work for this question: Qpen Show Work A)0.27 B)99.C)73 D)100
99.73 % of the points on a process control chart to fall within the UCL and LCL.
Given that,
We have to find the percentage of the points on a control chart to fall within UCL and the LCL.
We know that,
Calculating the sample data's standard deviation,. Adding three times to that sum. For the UCL, add (3 x to the average) and for the LCL, deduct (3 x from the average).
In control chart , control limits UCL and LCL are three standard deviations either side of the mean , so 99.73% of points are within the UCL and LCL.
Therefore, 99.73 % of the points on a process control chart to fall within the UCL and LCL.
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14 points!! PLEASE HELP MARKING BRAINLIST
Answer:
x = 58.03°
Step-by-step explanation:
Given:
17 cm is the length of the hypotenuse9 cm is the length of the adjacent sideSolve for x:
cos x = adjacent / hypotenusex = \(cos^{-1}(\frac{adjacent}{hypotenuse})\)1. \(x=cos^{-1}(\frac{9}{17})=58.03\)
Answer:
So, the measure of angle x is equal to 58.03.
HELP PLSSS, JUST ANSWER IT PLSS. Consider the figure below. What is JL?
Solve for ML by setting up a ratio:
Height/ length = unknown length/ height
6/8 = ML/6
Cross multiply:
8ML =36
Divide both sides by 8
ML = 4.5
JL = JM + ML = 8 + 4.5 = 12.5
JL = 12.5
Anna is solving this equation:
7- 3(2x - 5) = -(3x + 7)
Anna uses the distributive property for her first step.
Which equation shows the correct result of Anna using the distributive property?
A. 7- 6x – 5 = -3x +7
B. 7 - 6x + 5 = -3x - 7
C. 7-6x – 15 = -3x + 7
D. 7-6x + 15 = -3x - 7
Answer:
D
Step-by-step explanation:
if you distribute, you'll get D
Answer: D
Step-by-step explanation:
7-6x + 15 = -3x - 7
A company created a new container in the shape of a
triangular prism that will hold sunflower seeds. A three-
dimensional image of the container is shown below, as
well as a two-dimensional image of the base.
6 in.
3.2 in.
2 in.
3.2 in.
1 in.
square inches
1 in.
The container will be made from cardboard. How many
square inches of cardboard are needed to make one
container? Assume there are no overlapping areas.
The number of square inches of cardboard that are needed to make one
the container is 18.
We have,
The volume of the triangular prism.
= Area of the triangle x height
Now,
Height = 6 in
And,
To find the area of a triangle, we can use Heron's formula.
A = √(s(s-a)(s-b)(s-c))
where s is the semi-perimeter of the triangle, calculated as:
s = (a + b + c) / 2
In this case, the side lengths of the triangle are 3.2 in, 3.2 in, and 2 in.
Let's calculate the area using Heron's formula:
s = (3.2 + 3.2 + 2) / 2 = 4.2
A = √(4.2(4.2 - 3.2)(4.2 - 3.2)(4.2 - 2))
A = √(4.2 x 1 x 1 x 2.2)
A = √(9.24)
A ≈ 3.04 square inches
Now,
The volume of the triangular prism.
= Area of the triangle x height
= 3.04 x 6
= 18.24 in²
Now,
Area of one cardboard.
= 1² in²
= 1 in²
Now,
The number of square inches of cardboard that are needed to make one
container.
= The volume of the triangular prism / Area of one cardboard
= 18.24 in² / 1 in²
= 18.24
= 18
Therefore,
The number of square inches of cardboard that are needed to make one
the container is 18.
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What is the standard form of this number? 700,000 + 30,000 + 1,000 + 40 + 6
Answer:
731 046
Step-by-step explanation:
put the unit it it's correct value position
Answer:
7,31,046 is the required answer
Step-by-step explanation:
mark me as brainliest ❤️
A tree is sold based on the circumference
of its trunk. If a tree trunk has a radius of 4
inches, then what is the circumference of the
tree trunk?
Answer:
Step-by-step explanation:
C = 2πR = 2π(4) = 8π inches or about 25.1 inches
Answer:
C= 2πR = 2π(4) = 8π inches or about 25.1 inches
Step-by-step explanation:
C = 2πR = 2π(4) = 8π inches or about 25.1 inches
I woke up. I went straight to my computer, knowing I have a lot of overdue assignments. I opened it, signed in, starting a productive day. It is now night, and I have finished half of one test overall. #goals
Answer:
good job I am soooo behind
helpppppppppp!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
A. y = -250x + 3750
B. $2125
Step-by-step explanation:
A.
(5, 2500), (7, 2000)
(x₁, y₁) (x₂, y₂)
y₂ - y₁ 2000 - 2500 -500
m = ----------------- = ---------------------- = ---------- = -250
x₂ - x₁ 7 - 5 2
y - y₁ = m(x - x₁)
y - 2500 = -250(x - 5)
y - 2500 = -250x + 1250
+2500 +2500
-------------------------------------
y = -250x + 3750
B.
y = -250x + 3750
y = -250(6.50) + 3750
y = -1625 + 3750
y = 2125
(6.50, 2125)
I hope this helps!
What is the Greatest Common Factor (GCF) of 12 and 32? *
Answer: wow here's answer its 4
Step-by-step explanation:
Answer:
4
Do you need an explanation?
Please solve this
∫ (log(1 + x ^ 2))/((x + 1) ^ 2) dx
The final result of the integral is:
∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,
where Li(x) is the logarithmic integral function and C is the constant of integration.
We have,
To solve the integral ∫ (log(1 + x²) / (x + 1)²) dx, we can use the method of substitution.
Let's substitute u = x + 1, which implies du = dx. Making this substitution, the integral becomes:
∫ (log(1 + (u-1)²) / u²) du.
Expanding the numerator, we have:
∫ (log(1 + u² - 2u + 1) / u²) du
= ∫ (log(u² - 2u + 2) / u²) du.
Now, let's split the logarithm using the properties of logarithms:
∫ (log(u² - 2u + 2) - log(u²)) / u² du
= ∫ (log(u² - 2u + 2) / u²) du - ∫ (log(u²) / u²) du.
We can simplify the second integral:
∫ (log(u²) / u²) du = ∫ (2 log(u) / u²) du.
Using the power rule for integration, we can integrate both terms:
∫ (log(u² - 2u + 2) / u²) du = log(u² - 2u + 2) / u - 2 ∫ (log(u) / u³) du.
Now, let's focus on the second integral:
∫ (log(u) / u³) du.
This integral does not have a simple closed-form solution in terms of elementary functions.
It can be expressed in terms of a special function called the logarithmic integral, denoted as Li(x).
Therefore,
The final result of the integral is:
∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,
where Li(x) is the logarithmic integral function and C is the constant of integration.
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HELP ME PLEASE!!!!!!!!!!!!
1) The three main trigonometric ratios of the given triangle are:
sin B = 5/9.43
cos B = 8/9.43
tan B = 5/8
2) The measure of angle A is: ∠A = 39.6°
3) The length of side x is: x = 39.5 mm
How to find the trigonometric ratios?The six trigonometric ratios of a right angle triangle are:
sin x = opposite/hypotenuse
cos x = adjacent/hypotenuse
tan x = opposite/adjacent
cot x = 1/tan x
sec x = 1/cos x
cosec x = 1/sin x
1) The three main trigonometric ratios of the given triangle are:
sin B = 5/9.43
cos B = 8/9.43
tan B = 5/8
2) The measure of angle A is gotten from:
∠A = cos⁻¹ (47/61)
∠A = 39.6°
3) The length of side x using trigonometric ratios is:
21/x = tan 28
x = 21/tan 28
x = 39.5 mm
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Find the weighted mean. Round your answer to the nearest tenth.
The weighted mean of the deliveries each week can be found to be 5. 38 .
How to find the weighted mean ?The weighted mean is a type of mean that takes into account, the weight of the various items in question.
First, find the total frequency :
= 1 + 5 + 4 + 3
= 13
The weighted mean would then be:
= ∑ ( weight of delivery x number of deliveries )
= ( 1 / 13 x 2 ) + ( 5 / 13 x 4 ) + ( 4 / 13 x 6 ) + ( 3 / 13 x 8 )
= 0. 15 + 1. 54 + 1. 84 + 1. 85
= 5. 38
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PLEASE HELP ASAP I WILL GIVE BRAILY AND 25 POINTS... write an expression equivalent to 4x + 12 using the distributive property
Answer:4x + 12 = 2 ( 2x + 6)
Step-by-step explanation:
Please help me help help me please help me out please please help please help me please please
Answer:
c
Step-by-step explanation:
Which statement is true concerning the vertex and the axis of symmetry of g(x)=5x2−10x?
The true statement concerning the vertex and the axis of symmetry of g(x) = 5x^2 − 10x is that both values are equal
What are quadratic equations?Quadratic equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k
How to determine the true statement?The equation of the function is given as
g(x) = 5x^2 - 10x
Differentiate the above equation
So, we have
g'(x) = 10x - 10
Set to 0
So, we have
10xx - 10 = 0
Divide through by 10
So, we have
x - 1 = 0
Solve
x = 1
The above is the x coordinate of the vertex and the axis of symmetry
Hence, the true statement concerning the vertex and the axis of symmetry of g(x) = 5x^2 − 10x is that both values are equal
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Answer:
g(x) = 5x^2 − 10x is that both values are equal.
Step-by-step explanation:
2023
Please help solve this. (Answer is not 80)
Bookwork code: A99
The table shows the hair colours of the
students in a sports team.
Hair colour
Black
Blonde
Brown
Frequency
1
< Back
a) What fraction of the students have brown
hair? Give your answer in its simplest form.
b) How many sections on this pie chart
would you shade to show the students with
brown hair?
4
2
Scroll down
Watch video
Answer >
A fraction of the students who have brown hair is equal to 1/7.
You should shade only one (1) section on the pie chart to show the number of students with brown hair.
What is a pie chart?In Mathematics, a pie chart can be defined as a type of graph that is used for the graphical representation of the proportion relationship between each part or unit to a whole, especially by dividing a circle into various sectors or sections.
Based on the information provided in the table (see attachment), we can logically deduce the following parameters about the various hair color;
Number of brown hair = 1 brown hair.
Number of blonde hair = 4 blonde hair.
Number of black hair = 2 black hair.
Therefore, the total number of hairs is equal to 7 hairs.
For the fraction of students with brown hair, we have;
Fraction = 1/7.
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