F(2) means the value of x is 2. Replace x with 2 then solve for b:
3(2) + b = 12
6 + b = 12
Subtract 6 from both sides
B = 6
answer: b = 6
Your company obtains a score of 105 out of 115 on a customer satisfaction
survey. What was the percentage score obtained on the survey by the company?
(1) 94,25%;
(2) 109,52%;
(3) 91,30%;
(4) 95,24%.
Answer:
(3)
Step-by-step explanation:
Simply divide 105/115
Answer:
(3) 91.30%
Step-by-step explanation:
[tex]\sf Percentage=\left(\dfrac{Value}{Total\:value}\right) \times 100[/tex]
[tex]\begin{aligned}\implies \sf Percentage\:score & = \sf \left(\dfrac{105}{115}\right) \times 100\\& = \sf 0.91304347...\times 100\\& = \sf 91.30\%\:(nearest\:hundredth)\end{aligned}[/tex]
Helpppp pleaseeeeeeee
The solution set for the equation of a circle is all the_____ on the circle.
Carissa also has a sink that is shaped like a half-sphere. The sink has a volume of 3000
(pie symbol) in3
. One day, her
3
sink clogged. She has to use one of two conical cups to scoop the water out of the sink. The sink is
completely full when Carissa begins scooping.
(a) One cup has a diameter of 5 in. and a height of 6 in. How many cups of water must Carissa scoop out
of the sink with this cup to empty it? Round the number of scoops to the nearest whole number.
Show all your work.
(b) One cup has a diameter of 6 in. and a height of 6 in. How many cups of water must she scoop out of
the sink with this cup to empty it? Round the number of scoops to the nearest whole number.
WORTH 20 POINTS
Answer:
a) 80
b) 56
Step-by-step explanation:
a) Calculate the volume of the the cup using volume of cylinder equation: [tex]V = \pi r^{2} h[/tex]
Where V = Volume, r=radius, and h=height. Your answer should be in cubic inches ([tex]in^3[/tex]).
You're given diameter, so use equation [tex]d/2 = r[/tex] to find radius.
Substituting these equations will give you: [tex]V = \pi (d/2)^2 h[/tex]
However, the given volume of the sink is 3000[tex]\pi[/tex], meaning that you should modify your results to match this value. Do not substitute [tex]\pi[/tex] for 3.14..., leave it as a symbolic value. Your final V of the cup should = 37.5 [tex]\pi[/tex]
Divide the volume of the sink by the volume of the cup. This number will be the amount of cups needed to empty it. In equation form:
[tex]Vsink / V cup =[/tex] # of cups.
Note the the [tex]\pi[/tex] will cancel each other out, so there's not need to factor that in.
b) Repeat the steps above with the new d (diameter) value.
The volume of a cone is 735 pi cubic millimeters and the height is 5 millimeters. What is the radius of the cone.
Answer:
7 mm
Step-by-step explanation:
735pi=1/3*5*pi*r^2
735pi/1/3pi
147=5*r^2
49=r
If you have any questions please comment them!
A box contains several of Mrs. Spencer's new pamphlets. The box weighs 2,000 grams. This chart shows the effect of
adding a pamphlet
Pamphlets Added to the box (x) Effect on the Box's Weight, in grams (1)
0
0
1
6
2
12
3
18
Which statement is true about a proportional relationship such as the one illustrated in this table?
o As the value of x decreases. Increases.
As the value of x increases, y increases
The unit rate that describes the relationship of y to x is 3.
Weight is the independent variable, and the number of pamphlets is the dependent variable
Answer: 20,042
Step-by-step explanation: addion
Plsss I need it urgently!!!
Answer:
x = 7
y = 37
Step-by-step explanation:
congruent triangle LMN == PQR
Angle NLM = Angle RPQ
3x + 24 = 7x - 4
28 = 4x
x = 7
Angle LNM = Angle PRQ
2x + y = 180 - 84 - (7x - 4)
14 + y = 96 - (49 - 4)
14 + y = 51
y = 37
check answer
Angle LNM = 14 + 37 = 51
Angle NLM = 21 + 24 = 45
Angle LMN = 84
3 angles get a sum of 180
what is the greatest common factor of 25,65 and 100
Answer:
5
Step-by-step explanation:
List out the factors of each number (25,65,100) and get the largest common number which is 5 in this case.
Answer:
Five
Step-by-step explanation:
Prime factorize the three of them to find the answer
25 = 5 x 5
65 = 5 x 13
100 = 5 x 5 x 2 x 2
1/2x +4y=-4 and 3y=0.25x-8
Answer:
because 9 I 5x1 *
Step-by-step explanation:
do multiply 5 *1
There are 30 dogs staying in some boarding kennels.
12 of the dogs are brown.
What fraction of the dogs in the boarding kennels are not brown?
Answer: 3/5 or 18/30
Step-by-step explanation: You have to find how many in total are not brown, which is 30 - 12 = 18
18/30 are not brown, or simplified is 3/5
After four years of higher education, Danielle just graduated with a Bachelor's degree in Legal Studies from Georgetown where the annual cost of tuition was $26,000. She paid for college by earning $12,000 annually through the work study program and receiving an annual scholarship. She covered the remainder of the costs by taking out $0 in student loans. If she didn't fund her education with savings or grant money, what was the amount of Danielle's annual academic scholarship?
The amount of Danielle's annual scholarship is $14,000.
What is the value of the annual scholarship?
Subtraction is an arithmetic operation that is used to determine the difference between two or more numbers. The sign used to represent subtraction is -.
annual scholarship = annual tuition - annual earning
$26,000 - $12,000 = $14,000
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A certain population has been shown to have a 2% annual growth rate. The
initial population is 75,000. What will the population be after 10 years
Answer:
The population after 10 years will be 90,000.
Explanation:
2% of 75,000 is 1,500
the population will grow by 1,500 each year.
so 1,500 times 10 is 15,000
so than we add 75,000 + 15,000
we get the answer of 90,000.
Please mark me brainliest. Thank you.
Answer:
91425 population
Step-by-step explanation:
2% = .02 10 years 75 000 start
75 000 (1+.02)^10 = 91425
The figure below shows a rectangular lawn. 23ft 14ft (a) Use the calculator to find the perimeter and area of the lawn. Make sure to include the correct units. Perimeter: Area: (b) The lawn will be mowed. Which measure would be used in finding how long it will take? Perimeter Area (c) The lawn will be surrounded by a rope. Which measure would be used in finding how much rope to buy? Perimeter Area
The area and perimeter of the lawn will be 322 square feet and 74 feet. If the lawn will be mowed. Then the area will be used. If the lawn will be surrounded by a rope. Then the perimeter will be used.
What is a rectangle?It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.
The figure below shows a rectangular lawn.
Then the area of the rectangle will be
Area = 23 × 14
Area = 322 square feet
Then the perimeter of the rectangle will be
Perimeter = 2 (23 + 14)
Perimeter = 2 × 37
Perimeter = 74 feet
If the lawn will be mowed. Then the area will be used.
If the lawn will be surrounded by a rope. Then the perimeter will be used.
More about the rectangle link is given below.
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A rectangular garden is 5ft longer than it is wide. It’s area is 6800ft2. What are its dimensions
Answer:
Width = 80 ft and length = 85 ft.
Step-by-step explanation:
Let the width be x ft then the length is x+5 ft.
width * length = area, so
x * (x + 5) = 6800
x^2 + 5x - 6800 = 0
( x - 80)(x + 85) = 0
x = 80, -85
We ignore the negative so x = 80 ft.
Width = 80 and length = 80+5 = 85 ft.
Need help with this quick.
A trapezium is a quadrilateral. The option that is true for the trapezium is A, D, and E.
What is Trapezium?A trapezium is a quadrilateral which is having a pair of opposite sides as parallel and the length of the parallel sides is not equal.
The given trapezium is an isoceles trapezium. Therefore, the properties of the trapezium that are true for KLMJ are:
KL is parallel to JM∠J is supplementary ∠K∠J is congruent to ∠M (Valid only for isoceles trapezium).Hence, the option that is true for the trapezium is A, D, and E.
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Find the minimum value of the function f(x) = 1.5x2 + 10x + 12 to the nearest
hundredth.
Answer:
-14/3
Step-by-step explanation:
Use derivative = 0 to find turning point(S)
D f(x) = 3x + 10 = 0
3x = - 10
X = - 10/3
When X = - 10/3
F(x) = 1.5(10/3)^2 - 10(10/3) + 12
= (3*10*10) / (2*3*3) - 100/3 +12
= 50/3 - 100/3 + 36/3
= - 14/3
PLEASE HELP
Write an equation for the function graphed above.
The equation of the graphed function is [tex]y = 3\sec(\frac{\pi}{3}x) + 2[/tex]
How to determine the equation of the graph?The graph is a secant graph, and it has the following form
[tex]y = a\sec(bx) + c[/tex]
From the graph, we have the following parameters:
The amplitude (a) is calculated using:
a = 0.5 *(Local minimum - Local maximum)
a = 0.5 *(5 + 1) = 3
The vertical shift (c) is calculated using:
a = 0.5 *(Local minimum + Local maximum)
a = 0.5 *(5 - 1) = 2
The period (b) is calculated using:
[tex]b = \frac{2\pi}{T}[/tex]
This gives
[tex]b = \frac{2\pi}{6}[/tex]
Evaluate
[tex]b = \frac{\pi}{3}[/tex]
Substitute the values of a, b and c in [tex]y = a\sec(bx) + c[/tex]
[tex]y = 3\sec(\frac{\pi}{3}x) + 2[/tex]
Hence, the equation of the graphed function is [tex]y = 3\sec(\frac{\pi}{3}x) + 2[/tex]
Read more about graphs at:
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Jennifer is flying a kite. She is looking up at the kite at an angle of elevation of 39º. If the hand that is holding the kite string is 5.5 feet above the ground, what is the kite's vertical distance from the ground ?
See attachment for answer.
Probability Math Question
Help would be appreciated:))
Answer:
Hi, your answer here would be based on reading this graph. For question a, there are a total of 12 people who like vanilla with sprinkles, which means that it is 12 out of 24 or 1/2 or 0.5 or 50 percent.
For b) there is a total of 9 for chocolate, so the probability is 9 out of 24 or 37.5 percent or 3/8 or 0.375
For c) there are a total of 6 with no sprinkles out of 24 so it is 1/4 or 0.25 or 25 percent.
Step-by-step explanation:
Please mark me as brainliest :)
can someone please help me please
Answer:
1. 48
2. 4
3. 12
Step-by-step explanation:
i need help with a math problem
Answer:
52 square meters
Step-by-step explanation:
» Concepts
The surface area of a rectangular prism is the area of all the faces on it. The formula to find the TSA (total surface area) is 2(wl + hl + hw), where w = width, l = length, and h = height.
» Application
We're given the length as 4m, the width as 3m, and the height as 2m. Now, we just have to apply these values into our formula!
» Solution
[tex]2(3*4+2*4+2*3)[/tex] [tex]2(12+8+6)[/tex] [tex]2(26)[/tex] [tex]52[/tex]How is a change in the circumference of a circle related to the diameter of a circle
Answer:
let's use c as circumference, d for diameter
lets say c increases, d is related to c, d will also increase
if c decreases, d will too.
Let's put in this way.
Pretend you're at a store,
The more you spend, the more points you get in their loyalty program
C is going to be the amount you spend
D will be how many points you get
Spend more, more points
spend less, less points
P.S
C is the independent variable, D is the dependent variable. (I think that's the right way, if not ignore the postscript aka P.S)
Which phrase is the best description of a scatter plot in which the variables are correlated with r = 0.16?
O weak negative correlation
O weak positive correlation
O strong negative correlation
O strong positive correlation
Answer:
C.) Strong negative correlation
Step-by-step explanation:
Which expression represents the perimeter, in units, of this trapezoid? (45 points)
Answer:
A. 7x + 3
Step-by-step explanation:
The perimeter of a 2D shape is the distance all the way around the outside.
⇒ perimeter = (2x + 1) + (x + 1) + (3x - 1) + (x + 2)
= 2x + 1 + x + 1 + 3x - 1 + x + 2
= 2x + x + 3x + x + 1 + 1 - 1 + 2
= 7x + 3
what expression is equivalent to -7(y-2)
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Here we go ~
[tex] \sf - 7(y - 2)[/tex][tex] \sf - (7 \cdot y) -(7 \cdot 2)[/tex][tex] \sf - 7 y-( - 14)[/tex][tex] \sf - 7 y + 14[/tex]The equivalent expression will be ~
[tex] \boxed{ \sf - 7y + 14 \: \: }[/tex]
Is the sequence 2, 4, 8, 16, ... arithmetic? If so, find the common difference.
Answer:
First of all it's a geometric sequence and it is multiplying 2 every time
Step-by-step explanation:
2*2=4
4*2=8
8*2=16
Please calculate the size of Č please.
Edit: It seems you want to find the measure of the angle at vertex C.
Consider two vectors x and y, the first of which begins at vertex C and ends at B, and the other begins at C and ends at A. We want to find the angle between x and y. If γ (gamma) is the measure of this angle, then
x • y = ||x|| ||y|| cos(γ)
Translating these vectors so that they start at the origin O, we get
C to B : x = (-2, 2) - (6, -2) = (-8, 4)
C to A : y = (6, 4) - (6, -2) = (0, 6)
Compute the dot product of x and y :
x • y = (-8, 4) • (0, 6) = 24
Compute their magnitudes:
||x|| = √((-8)² + 4²) = 4√5
||y|| = √(0² + 6²) = 6
Solve for γ :
cos(γ) = (x • y) / (||x|| ||y||)
cos(γ) = 24/(24√5)
cos(γ) = 1/√5
γ = arccos(1/√5) ≈ 63.4349°
A town with a population of 5,000 grows 3% per year. Find the population at the end of 10 years
The population at the end of the 10 years is 6,500.
Given that,
A town with a population of 5,000 grows 3% per year.
We need to find the population at the end of 10 years.
Based on the above information, the calculation is as follows:
= 5,000 + 1,500
= 6,500
Therefore we can conclude that the population at the end of the 10 years is 6,500.
. A parcel delivery service lowered its A parcel delivery service lowered its prices and finds that it has delivered twice as many parcels this year as it did last year. To illustrate this fact, the manager draws a graph as shown below. The side length of the "parcel" on the right is twice the side length of the "parcel" on the left. Is this graph misleading? Yes, the cube on the right is more than twice as large as the cube on the left. No, the parcels sold can fit into the cubes displayed. Yes, cubes can never be used fairly to depict data. No, the proportions of the two cubes are accurate.prices and finds that it has delivered twice as many parcels this year as it did last year. To illustrate this fact, the manager draws a graph as shown below. The side length of the "parcel" on the right is twice the side length of the "parcel" on the left. Is this graph misleading? Yes, the cube on the right is more than twice as large as the cube on the left. No, the parcels sold can fit into the cubes displayed. Yes, cubes can never be used fairly to depict data. No, the proportions of the two cubes are accurate.
Answer:
Yes, the cube on the right is more than twice as the cube on the left.
Find the volume. Show work!!
Step-by-step explanation:
this is a combined object :
there is the basic block at the bottom (21×21×17), and there is a pyramid on top of it.
so, we need to calculate the volume of both parts and add them for the total volume.
the volume of the block is, as mentioned :
21 × 21 × 17 (length×width×height) = 7,497 ft³
the volume of a pyramid is
length×width×height/3
which is in our case
21 × 21 × 9 / 3 = 21 × 21 × 3 = 1,323 ft³
so, the total volume is
7,497 + 1,323 = 8,820 ft³