Answer:
B = 7 (?)
Step-by-step explanation:
(b + 3) / 5 = 2
5 (b + 3) / 5 = 2 x 5
Simplify it --> b + 3 = 10
b + 3 - 3 = 10 - 3 (subtract 3 from both sides)
B = 7
Problem 1. 1
Jada paints a circular table that is 30 inches across.
Is the circumference of the circle or the area of the circle
more useful for finding how much paint she needs?
Circumference
Area
How much paint does she need?
square inches
Submit
??? What is it
Answer:
Minor note: A table is circular.In this case, the area is more useful to find out how much the paint covers.
This is, because the circumference is the perimeter of the table whilst the area is the whole region of the table.
So to find out the area of this table, we must use the formula for the area of a regular circle.
A = π\(r^{2}\)
Where 'π' represents pi(22/7 or 3.14), and 'r' represents the radius which is being squared.
But, if we see the information that we have, we can see that it gives the diameter and not the radius.
So in order to find out our radius, we must perform 1/2 of the diameter(1/2 x diameter) to find the radi.
30(diameter) x 1/2
= 15 is the radius.
Now we substitute this value into our equation, since it's the only information we need.
A = π\(r^{2}\)
A = 3.14(15^2)
A = 3.14(225)
A = 706.5 square inches of paint is needed to cover the table.
Determine whether the given sequence could be geometric, arithmetic, or neither. If possible, identify either the common ratio or the common difference.
9, 13, 17, 21,....
please help me I need this for my algebra test and I don’t understand it
Answer: Question E: The answer is that A(9) is greater.
Step-by-step explanation:
For questions A and C, you can see that the table is exponentially growing. So the equation will use multiplication. You can also see the value of the equation is growing by x2.
So you could say the table starts at a base of 1/2, then grows exponentially at a rate of 2. (Basically saying the value grows x2 per term). The equation will result in y= 1/2(2)^x
For questions B and D, you can see that the graph is growing linearly. So the equation will use multiplication.
By drawing a line between the lines you can easily see the growth of the triangle. You can then tell the 0th term to 1st term goes right 1 and up 10.
Next, you look at the 1st term to the 2nd term. You can tell that it goes right 1 and up 10. So, the rate is 10 per term. (10x) and it starts at 2 (+2). The equation will result in y=10x+2
Question E, solve each equation by substituting the x by 9.
A(9)
y= 1/2(2)^x
y= 1/2(2)^9
y= 1/2(512)
y=256
B(9)
y=10x+2
y= 10(9) +2
y= 90+2
y=92
The answer is that A(9) is greater.
Hello could anyone tell me what 12 plus 14 times 2000 divided by 13 is?
a solid box is 1515 cm by 1010 cm by 88 cm. a new solid is formed by removing a cube 33 cm on a side from each corner of this box. what percent of the original volume is removed?
9% of the volume of the original volume is removed.
Given that the dimensions of solid box is 15 cm by 10 cm by 8 cm.
So the volume of solid box = 15*10*8 cubic cm = 1200 cubic centimeter
The volume of the cube with side 3 cm = 3*3*3 = 27 cubic centimeter
For each corner one cube so the number of cube is 4
So total volume removed = 4*27 = 108 cubic centimeters
The percent of volume is removed = (108/1200)*100% = 9%
Hence the percentage of volume removed is 9%.
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The price of a house is originally listed at $110,000. The owners are having a hard time selling it and decide to reduce the price to $101,200. What is the percentage decrease of the price of the house?
Answer:
8%
Step-by-step explanation:
110000 - 101200 = 8800 (change)
change/original price X 100
8800/110000 = 0.08
0.08 X 100 = 8
For Math
Name One MLE Choppa Song
One YNW Melly Song
And One Lil Tjay Song If I Know
All Three Songs Winner GetsCrown
Answer:
Nle Choppa: Camelot
YNW Melly: Murder On My Mind
Lil Tjay: Move On
:)
I need help with these questions. 1
Answer:
first question : I think it's corresponding angle
second question : is lines AD and GH ,b/c skew means two lines that are not parallel and don't intersect
Step-by-step explanation:
HOPE THIS HELPS
(b)
In a certain exam of grade ten, 75% students got high score in mathematics, 65%
students got high score in English. If 6% of them did not get high score in both
mathematics and English, then calculate:
i. the percent of students who got high score in both the subjects.
ii. the total number of students who got high score either in mathematics or
in English if 300 students had attended the exam.
Mathematics, grade 10
Answer:
46student did not pass
Step-by-step explanation:
because did not pass on the lower grade
Dynamics can be written anywhere in band music.
True or False
Two angles of a Triangle measure 55° and 22° What is the measure of the third angle of the triangle
A. 15°
B. 90°
C. 105°
D. 285°
Answer:
c would be the closest
Step-by-step explanation:
All triangles equal 180*. so if you combine the 2 angles, which adds up to 77* then that would leave the third angle to be 103* but since that isnt an option choose c since its the closest.
What is the value of c in the equation below?
24.22= a^b = 0
Answer:
There's no c in your uploaded question
arithmetic square root of 0.55
Answer:
0.74
Step-by-step explanation:
Answer:
The square root would equal 0.7416198487095663, or .74 simplified.
Step-by-step explanation:
Hope this helps.
Which side of AXYZ is the longest?
43
/60°
x
O A. XY
B. XZ
C. YZ
OD. Cannot be determined
Answer:
B
Step-by-step explanation:
the longest side of a triangle is opposite the largest angle.
∠ Y = 180° - 60° - 43° = 180° - 103° = 77°
then ∠ Y is the largest angle in the triangle , so
side opposite ∠ Y is the longest , that is XZ
XZ is the longest side of the given triangle XYZ.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
The given triangle is XYZ.
We have to find the longest side.
Angle X and angle Z are given
∠X = 60 and ∠Z = 43
Now let us find ∠Y by angle sum property
∠X+∠Y+∠Z=180
60+43+∠Y=180
103+∠Y=180
Subtract 103 from both sides
∠Y=180-103
∠Y=77
The side which is opposite to the greatest angle is longest side
Hence, XZ is the longest side of the given triangle XYZ.
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suppose that an usher randomly assigns the seats to the 7 people. find the probability that the three friends are next to each other.
The probability that the three friends are seated next to each other is 1/420
The total number of ways to seat the 7 people is 7! To find the number of ways to seat the three friends next to each other, we need to consider the number of ways to seat the other 4 people around them. So the number of favorable outcomes is 4!
The probability that the three friends are next to each other is then given by the ratio of the number of favorable outcomes to the total number of outcomes: (4!)/(7!) = 4!/5040 = 1/420.
So the probability that the three friends are seated next to each other is 1/420.
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if x=15 degrees and the measure of Arc YZ is 3 centimeters, what is the circumference of the circle?
A- 24
B- 45
C- 60
D- 72
The circumference of the circle is 72cm.
Arc length formula\(Arc length = 2\pi r(\frac{x}{360} )\)
where
r is the radius of the circle
x is the central angle of the arc
Circumference of the circleCircumference of the circle or perimeter of the circle is the measurement of the boundary of the circle. It is calculated as
circumference of the circle = 2πr
According to the given question we have
central angle of the arc, x = 15 degrees
Arc length = 3 cm
Let r be the radius of the given circle.
Then,
Arc length = 2πr\((\frac{15}{360} )\)
⇒ 3 ×\(\frac{360}{15}\) = circumference of the circle ( circumference or circle =2πr)
⇒ circumference of the circle = 72 cm
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A news organization interested in chronicling winter holiday travel trends conducted a survey. Of the 96 people surveyed in the eastern half of a country, 42 said they fly to visit family members for the winter holidays. Of the 108 people surveyed in the western half of the country, 81 said they fly to visit family members for the winter holidays.
Use a calculator to construct a 99% confidence interval for the difference in population proportions of people in the eastern half of a country who fly to visit family members for the winter holidays and people in the western half of a country who fly to visit family members for the winter holidays. Assume that random samples are obtained and the samples are independent.
Round your answers to three decimal places.
We are 99% confident that the true difference in population proportions of people in the eastern half of the country who fly to visit family members for the winter holidays and people in the western half of the country who fly to visit family members for the winter holidays is somewhere between -0.422 and -0.114.
Next, we need to calculate the standard error of the difference in sample proportions. This gives us an idea of how much the sample difference in proportions can be expected to vary from the true population difference in proportions. We use the following formula to calculate the standard error:
√((p₁(1-p₁)/n₁)+(p₂(1-p₂)/n₂))
where p₁ and p₂ are the sample proportions, and n₁ and n₂ are the sample sizes. Plugging in the values we have, we get a standard error of 0.094.
Now that we have the sample proportions and the standard error, we can use a confidence interval formula to calculate the range of values that we can be confident contains the true population difference in proportions. For a 99% confidence interval, the formula is:
(sample proportion 1 - sample proportion 2) +/- (critical value x standard error)
The critical value is obtained from a t-distribution table, with degrees of freedom equal to the smaller of (n1-1) and (n2-1). For a 99% confidence level and 44 degrees of freedom, the critical value is 2.689.
Plugging in the values we have, we get a confidence interval of:
0.438 - 0.75 +/- 2.689 x 0.094
= -0.422 to -0.114
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19. For your career project, you plan to design and sell T-shirts. During the first
5 weeks of selling the shirts, the function f(s) =4/3s- 20 models your
profit made, where s is the number of shirts sold. Your teacher mentions that
by making a slight change to your printing procedure, you could double the
number of shirts you could sell. Find your new profit equation and describe
how this change transforms the graph off. Then determine the new profit
you could make by selling 300 shirts
Using translation concepts, we have that:
The new equation is f(s) = (8/3)s - 20.The effect on the graph is that it is a vertical stretch by a factor of 2 of the function f(s).Selling 300 shirts with the new function, you obtain a profit of $780.What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
The profit function given in the problem is:
f(s) = (4/3)s - 20.
From this function, we get that the profit with a single shirt sold is of $4/3. To double the profit, this amount has to be multiplied by 2, hence the new function is:
f(s) = (8/3)s - 20.
Which is a vertical stretch by a factor of 2 of the graph of f(s).
When 300 shirts are sold, the profit is then given by:
f(300) = (8/3) x 300 - 20 = $780.
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What is the mean absolute deviation of the data set 7 10 14 and 20?.
The absolute deviation of the data set 7 10 14 and 20 is 4.25.
What is the mean deviation method?
When calculating the average departure from the mean value of a particular data set, statisticians employ a measure known as the mean deviation. Following the steps below will make it simple to determine the mean deviation of the data values.
In statistics, the term "deviation" refers to the discrepancy between the observed value of a data point and its expected value. As a result, mean deviation, also known as mean absolute deviation, is the typical departure of a data point from the mean, median, or mode of the data collection.
data set is 7, 10, 14, 20,
Mean = m = 51/4 = 12.75
So the MAD is 1/4 |7-12.75| |10-12.75| |14-12.75| 20-12.75|
MAD = 17/4 = 4.25
Hence the mean absolute deviation of the data set 7 10 14 and 20 is 4.25.
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I will give brainlist ! very fast.. Hello its a math question is the last option the correct answer i am not sure please help
Hello!
Let's take this step-by-step:
The formula for the Area of the Triangle:
\(Area = \dfrac{1}{2} *\text{Base} *\text{Height}\)
In this case:
Height: x + 3Base: 2x + 4Let's plug in those value's into the equation:
\(\text{Area}=\dfrac{1}{2} *(2x +4)*(x+3)\\\\\\\text{Let's first multiple '2x + 4' and 'x+3'}\\\text{Area}=\dfrac{1}{2} *(2x^2+6x + 4x + 12)=\dfrac{1}{2} *(2x^2+10x + 12)\\\\\\\\\\\textNow multiple 1/2 in the function in the parentheses}\\\text{Area}=\dfrac{1}{2} *2x^2 + \dfrac{1}{2}*10x +\dfrac{1}{2} *12\\\\\text{Area}=x^2+5x + 6\)
Answer: \(x^2 + 5x +6\)
Hope that helps!
In a jar of blue and red marbles the ratio of blue marbles to red marbles is 5 to 3 there are 320 marbles in the jar how many red marbles are in the jar
Answer:
120 red marbles
Step-by-step explanation:
5 to 3 gives a total of 8
let x = # red marbles
3 = x
8 320
8x = 960
x = 120
Find the y-intercept for the parabola defined by
this equation:
y=2x2+x−1
Answer:
(0, -1)
Step-by-step explanation:
The c value of the equation represents the y-intercept. c=-1 so the y-intercept must be (0,-1)
whats the volume of this shape
r-11cm
h-16 cm
Answer:
you know who else like the shape my mom
For K12 8th grade math
Answer:
(0,3) (-1,0) im sorry if this is incorrect
Step-by-step explanation:
Answer:
yeah, im not sure
Step-by-step explanation:
378x378x378x378x378x378x378x378x378
Answer:
378x³⁰²
Step-by-step explanation:
378x378x378x378x378x378x378x378x378
=378*x^378*x^378*x^378*x^378*x^378*x^378*x^378*x^378
=378*x3024
=378x³⁰²
Hope this helps
use a double angle or half angle identity to find the exact value of each expression
Answer:
Step-by-step explanation:
There are 2 very distinct and important things that we need to know before completing the problem. First is that we are given that the cos of an angle is 1/3 (adjacent/hypotenuse) and it is in the first quadrant. We also need to know that the identity for sin2θ = 2sinθcosθ.
We already know cos θ = 1/3, so we need now find the sin θ. The sin ratio is the side opposite the angle over the hypotenuse, and the side we are missing is the side opposite the angle (we do not need to know the angle; it's irrelevant). Set up a right triangle in the first quadrant and label the base with a 1 (because the base is the side adjacent to the angle), and the hypotenuse with a 3. Find the third side using Pythagorean's Theorem:
\(3^2=1^2+y^2\) which simplifies to
\(9=1+y^2\) and
\(y^2=8\) so
\(y=\sqrt{8}=2\sqrt{2}\) so that's the missing side. Now we can easily determine that
\(sin\theta=\frac{2\sqrt{2} }{3}\)
Now we have everything we need to fill in the identity for sin2θ:
\(2sin\theta cos\theta=2(\frac{2\sqrt{2} }{3})(\frac{1}{3})\) and multiply all of that together to get
\(2sin\theta cos\theta=\frac{4\sqrt{2} }{9}\)
16. A homeowner plans to install 2-ft. by 3-ft. tiles in his 18-ft by 32-ft basement. If thetiles cost $0.75 each, find the total cost of the tiles.
The Solution.
Given that the dimensions of a tile is 2 ft by 3 ft., we can find the area of a tile.
\(\text{Area of Tile = 3}\times2=6ft^2\)Given that the dimensions of a Basement is 18 ft by 32 ft., we can find the area of the Basement as
\(\text{Area of Basement = 18}\times32=576ft^2\)The number of tiles that will be installed in the basement is calculated as
\(\text{Number of Tiles =}\frac{area\text{ of Basement}}{\text{area of a tile}}=\frac{576}{6}=96\text{ tiles}\)The total cost of the tiles will be
\(\text{Total cost =0.75}\times96=\text{ \$72}\)Thus, the correct answer is $72.00
based on size, which of the following groups would be the most
stable?
a. 15 people
b. 5 people
c. 10 people
d. 2 people
The group that would be the most stable based on size would be 10 people. So, the correct answer is c. 10 people.
What is a group?A group is a set of people or objects that are deemed to be equivalent or share a common feature. Group members may collaborate and share knowledge to achieve a common goal. The group's performance is frequently greater than the sum of its members' individual efforts, and this is known as the group effect.
What is group stability?Group stability is defined as the ability of a group to remain together and keep working toward its objective over time. It is essential for a group to achieve its objectives and is typically linked to the group's size and objective. A stable group can withstand external pressures and is less susceptible to breaking up or being disbanded.
How does size affect group stability?A group's size has a significant influence on its stability. Small groups are often more cohesive and productive than large groups. On the other hand, as a group's size grows, it becomes more challenging to sustain cohesion and productivity. A group of 10 people would be the most stable since it's not too large or too small. Thus, the correct option is c. 10 people.
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What is the coupon rate and maturity date for this bond ?
Answer:
I don't know the answer! this is hard
Step-by-step explanation:
Answer:
need help
Step-by-step explanation:
Find the height of the basketball hoop to the nearest foot.
A. 7 ft
B. 10 ft
C. 12 ft
D. 15 ft
Answer:
12 ft
Step-by-step explanation:
Hi there!
1) Find the length of the other leg in the right triangle
There are two ways we can go about this. The first way is to use trigonomic ratios:
We're given one of the legs and we're trying to solve for the other, so we can use the tangent ratio:
\(tan\theta=\frac{opp}{adj}\)
Let x be equal to the length of the other leg. Plug in the known values:
\(tan45=\frac{x}{7}\\7*tan45=x\\x=7\)
The other way to find this is to observe the angles. Because we're given that two of the angles are 45 and 90 degrees, we know that the third angle is 45 degrees. This makes this an isosceles triangle, meaning the other leg is 7 ft long.
2) Determine the height of the hoop
Add 7 ft and 5 ft (the person's height):
7+5=12 ft
I hope this helps!