Answer:
41
Explanation:
To solve this problem we must first understand what the pattern is in the arithmetic sequence. Once we understand the pattern, we can then apply it to the final known term to find the next term.
Take a look at the arithmetic sequence given:
9, 17, 25, 33,...
Let's start by figuring out how they got the second term in the sequence. To do that, subtract the second term by the first term. This will reveal the pattern.
9 - first term
17 - second term
17 - 9 = 8
So, this means they added eight to get the next term. Therefore, the pattern should be 'add eight' to get the next term. Just to be sure the pattern we found is correct, apply it to the given arithmetic sequence.
9, 17, 25, 33,...
9 + 8 = 17
17 + 8 = 25
25 + 8 = 33
So, since 'adding eight' every time gives us the next term, the pattern is correct.
Finally, let's continue the pattern to find the next term.
9, 17, 25, 33,...
33 + 8 = 41
9, 17, 25, 33, 41,...
Therefore, the next term in the arithmetic sequence is 41.
What is the value (hundredth) of the ratio of the circumference of a circle
to its diameter?
Answer:
3.14Step-by-step explanation:
the circumference of a circle = Diameter × π
in other words ,the ratio of the circumference of a circle to its diameter is π
and we know that π = 3.14159265358979...
if we round it to the hundredth we get 3.14
Does anyone know the answer?
Answer:
AB = 4.41
Step-by-step explanation:
→You are given the adjacent side and need to find the hypotenuse. For this, we use cos.
→Set it up, like so:
[tex]cos25=\frac{4}{x}[/tex]
→To get rid of the x in the denominator, multiply everything by x:
[tex]x(cos25=\frac{4}{x})[/tex]
[tex]xcos25 = 4[/tex]
→Divide both sides by cos25:
x = 4.413
→Round to nearest hundredth:
x = 4.41
The cost of a parking permit consists of a one-time administration fee plus a monthly fee. A permit purchased for 12 months costs $660. A permit purchased for 15 months costs $810.
The question is incomplete:
The cost of a parking permit consists of a one-time administration fee plus a monthly fee. A permit purchased for 12 months costs $660. A permit purchased for 15 months costs $810.
What is the administration fee?
Answer:
$60
Step-by-step explanation:
To calculate the administration fee, first you have to calculate the difference between the two permits and divide that by the month difference that is: 15-12= 3 to know the cost of the monthly fee:
$810-$660= 150
$150/3= $50
Now, you can multiply the monthly fee for 12 to know the total cost of the monthly fee for 12 months and then, subtract this from the cost of a permit purchased for 12 months to find the cost of the one-time administration fee:
$50*12= $600
$660-$600= $60
According to this, the administration fee is $60.
What’s the correct answer for this?
Answer:
167
Step-by-step explanation:
You took 6 math quizzes. Your scores are: 89, 96, 92, 84, 94, 100. Mrs. Edwards gave you the choice to pick the mean, median, mode or range to be your report card grade. Which one would you pick and why?
Answer:
Median. It has the highest grade.
Step-by-step explanation:
Mean: 92.5
Median: 93
Mode: no mode (all numbers occur only once)
Range: range is 11 (this would be a terrible grade)
Because the median has the highest grade, you would want to pick it.
If you want/ need me to show work or explain just let me know
Also, if my answer helps please consider giving me brainliest.
A cement walkway of uniform width has been built around an in-ground rectangular pool. the area of the walkway is 1344 square feet. the pool itself is 80 feet long by 20 feet wide. what is the width of the walkway?
Answer:
6 feet.
Step-by-step explanation:
Dimensions of the Pool =80 feet long by 20 feet wide
Area of the walkway =1344 square feet.
If the width of the walkway=w
Length of the Larger Rectangle =80+2wWidth of the Larger Rectangle =20+2wArea of the Walkway =Area of the Larger Rectangle - Area of the Pool
[tex]1344=(80+2w)(20+2w)-(80*20)\\1344=80*20+160w+40w+4w^2-80*20\\4w^2+200w=1344\\4w^2+200w-1344=0\\We factorize\\4(w^2+50w-336)=0\\4(w^2-6w+56w-336)=0\\w(w-6)+56(w-6)=0\\(w-6)(w+56)=0\\w-6=0$ or $ w+56=0\\w=6$ ft or $ w=-56$ \\Therefore, the width of the walkway , w=6 feet.[/tex]
What is 75/2\3 for my math homework
Step-by-step explanation:
75 ÷ 2/3 = 12.5
This is the correct answer
Answer:
The answer is 225/2 or 112 1/2 or 112.5
Step-by-step explanation:
When a number is divided by a fraction, you have to convert it into multiply by making the fraction upside down :
[tex]75 \div \frac{2}{3} [/tex]
[tex] = 75 \times \frac{3}{2} [/tex]
[tex] = \frac{75 \times 3}{2} [/tex]
[tex] = \frac{225}{2} [/tex]
[tex] = 112 \frac{1}{2} \: or \: 112.5[/tex]
Graded Problem Set Jenna needs to make some house repairs in three years that will cost $9,000. She has some money in an account earning 9% annual interest. How much money needs to be in the account today so she will have enough to pay for the repairs
Answer:
She needs $6,949.65 in the account today.
Step-by-step explanation:
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
In this question:
She needs $9,000 in 3 years, so [tex]t = 3, A(t) = A(3) = 9000[/tex]
9% annual interest, so [tex]r = 0.09[/tex]
1 compounding, so [tex]n = 1[/tex]
How much money needs to be in the account today so she will have enough to pay for the repairs
We need to find P.
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]9000 = P(1 + \frac{0.09}{1})^{1*3}[/tex]
[tex]P(1.09)^{3} = 9000[/tex]
[tex]P = \frac{9000}{(1.09)^{3}}[/tex]
[tex]P = 6949.65[/tex]
She needs $6,949.65 in the account today.
20% of the people in a community use the emergency room at in one year,find the probability that at most three used the emergency room for a sample of 10 people
Answer:
The probability that at most three used the emergency room for a sample of 10 people is 0.8791.
Step-by-step explanation:
The random variable X can be defined as the number of people in a community using the emergency room.
The probability that a person uses the emergency room is, p = 0.20.
A sample of n = 10 people are selected.
A person using the emergency room is independent of others.
The random variable X thus follows a Binomial distribution with parameters n = 10 and p = 0.20.
The probability mass function of X is provided as follows:
[tex]P(X=x)={10\choose x}\ (0.20)^{x}\ (1-0.20)^{10-x};\ x=0,1,2,3...[/tex]
Compute the probability that at most three used the emergency room as follows:
P (X ≤ 3) = P (X = 0) + P (X = 1) + P (X = 2) + P (X = 3)
[tex]=\sum\limits^{3}_{x=0}{{10\choose x}\ (0.20)^{x}\ (1-0.20)^{10-x}}\\\\=0.10737+0.26844+0.30199+0.20133\\\\=0.87913\\\\\approx 0.8791[/tex]
Thus, the probability that at most three used the emergency room for a sample of 10 people is 0.8791.
Find the Ratio of 250m to 1.5km
Answer:
Step-by-step explanation:
1 km= 1000m
1.5 km = 1 x 1000 + 500
1000 + 500
1500m
1500 m : 250 m
750 m : 125 m
150 m : 25 m
30 m : 5 m
6 m : 1m
0.0
What’s the correct answer for this?
Answer:
the third option
Step-by-step explanation:
the union of two sets of numbers just has to show all the numbers that are in the two sets, meaning if both sets have the same number, it is only shown once in the union
How do I find x to the nearest tenth?
Answer:
x=18.9
Step-by-step explanation:
Solve for x.
6(x - 1) = 9(x + 2)
X = -8
X = -3
X = 3
x = 8
Answer:x=-8
Step-by-step explanation:
A cylindrical metal pipe has a diameter of 8.4 millimeters
and a height of 10 millimeters. Ahole cut out of the center
has a diameter of 6 millimeters,
What is the volume of metal in the pipe? Use 3.14 for
and round the answer to the nearest tenth of a cubic
millimeter
8.4 mm
© 282.6 mm
271.3 mm
553.9 mm
836.5 mm
thand
Next
Submit
Answer:
C. 271.44 [tex]mm^3[/tex]
Step-by-step explanation:
We need to first find the volume of the pipe, then find the volume of the hole and then subtract the volume of the hole from the volume of the pipe.
The diameter of the pipe is 8.4 mm. This means its radius is:
8.4/2 = 4.2 mm
The height of the pipe is 10 mm
The volume of a cylinder is given as:
[tex]V = \pi r^2h[/tex]
where r = radius
h - height
Therefore, the volume of the cylinder without the hole is:
[tex]V = \pi * 4.2^2 * 10\\\\V = 554.18 mm^3[/tex]
The diameter of the hole is 6 mm. Its radius is:
6/2 = 3 mm
The volume of the hole is:
[tex]V = \pi * 3^2 * 10\\\\V = 282.74 mm^3[/tex]
The volume is:
554.18 - 282.74 = 271.44 [tex]mm^3[/tex]
Answer:
B. 271.3 [tex]mm^{3}[/tex]
Step-by-step explanation:
Volume of the outer cylinder minus the volume of the inner cylinder returns the volume of the metal outer ring that surrounds the hole.
what is the following quotient? 1/1+sqrt3
Answer:
4 answer
Step-by-step explanation:
The quotient 1 / (1 + √3) is (- 1 +√3) / 2.
Option D is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
1 / (1 +√3)
Rationalize the denominator.
1 / (1 +√3) x (1 -√3) / (1 -√3)
{ a² - b² = (a + b) (a - b) ]
(1 -√3) / (1 - 3)
(1 -√3) / -2
-(1 -√3) / 2
(- 1 +√3) / 2
Thus,
The final expression is (- 1 +√3) / 2
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Write a cost function for the cost c to rent a car for d days
Answer:
cost = c*d
Step-by-step explanation:
Unless the cost is calculated by the time (hours) or mileage, we can use the number of days in the calculation.
Everyday is one unit of c, so c times the number of days it is used gives us the cost. Simply multiply the number of days by cost per day to get the total cost.
11. In your own words, describe how to view the
hean of a set of numerical data in two different
ways: in terms of leveling out and as a balance
point. In each case, give an example to illustrate.
One inlet pipe can fill an empty pool in 6 hours, and a drain can empty the pool in 12 hours. How long will it take the pipe to fill the pool if the drain is left open?
Answer:
72
Step-by-step explanation:
10) Which diagram represents the figure with the greatest volume?
[A]
[C]
4 in
4 in
4 in
4 in
4 in
[B]
[D]
0
4 in
4 in
4 in
Answer:
see below
Step-by-step explanation:
You don't even need to do any math for this one.
All of the other figures will fit inside the first figure with space left over. Obviously, the first figure has the greatest volume.
The Cube is the diagram with the greatest volume which is 64 inch³.
What is the Volume of a solid shape?The volume of a solid body represents the space occupied by the body.
For example:
Volume of Cube = (side)³
Volume of Sphere = 4/3 π (radius)³
Volume of Cylinder = π (radius)² (height)
Volume of Cone = ⅓ pi (radius)² (height)
How to solve the problem?We will just put the value of radius, side, and height in the formula of the Volume of the corresponding diagrams.
Volume of the given Cube = (4)³ = 64 inch³
Volume of the given sphere = 4/3 π (2)³ = 8(4/3)π = 33.51 inch³
as the radius of the sphere is 2 inches, because the diameter of the sphere is 4 inches.
Volume of the given Cylinder = π (2)² (4) =50.26 inch³
as the radius of the Cylinder is 2 inches, because the diameter of the Cylinder is 4 inches.
Volume of the given Cone = ⅓ π (2)² (4) = 16.76 inch³
as the radius of the Cone is 2 inches, because the diameter of the Cone is 4 inches.
Thus, we come to the conclusion that the Cube is the diagram with the greatest volume which is 64 inch³.
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Find the equation of the line that passes through (−4, 8) with slope −3. Write in slope-intercept form. F y = – 3x – 4 G y = – 4x + 3 H y = 3x + 4 J y = 4x – 3
Answer: y=-3x-4
Step-by-step explanation:
Since we know slope, we can plug it into slope-intercept form to find the y-intercept by using the given points,
y=-3x+b
8=-3(-4)+b
8=12+b
b=-4
Now that we know the y-intercept, we can complete the slope-intercept form.
y=-3x-4
Solve the equation.
C +9 = 3.7
Answer:
C= -5.3
Hope this helps!
Brainliest?
Answer:
C = -5.3
Step-by-step explanation:
C+9=3.7
Subtract 9 from both sides
C+9-9=3.7-9
Simplify
C = -5.3
A trapezoid has an area given by A =1-2(b1+b2)h,where b1,is the length of one base, b2 is the length of the other
base, and h is the height. If the trapezoid has an area of 14 square units, solve for b in terms of the other variables.
Answer:
b1 = (28/h) -b2
Step-by-step explanation:
Filling in the given value for A, you have ...
14 = (1/2)(b1 +b2)h
Multiply by 2/h:
28/h = b1 +b2
Subtract b2:
b1 = (28/h) -b2
What is the value of 6/x+2x,when x=3
Answer:
8
Step-by-step explanation:
6/3 + 2 x 3
6/3 + 6
2 + 6=8
Answer:
[tex]2/3[/tex]
Step-by-step explanation:
[tex]\frac{6}{3x}[/tex]
[tex]\frac{6}{3(3)}[/tex]
[tex]\frac{6}{9} =\frac{2}{3}[/tex]
Gabrielle draws an angle that measures 134º.
She then draws a ray that divides the angle into two non-overlapping angles,
The measure of one angle is 85°,
Part A
Which equation can Gabrielle use to find the measure of the other angle?
A. 134° +85° = a
B 1340 + 2 = a
C. 134° -85° = a
D. 134 +90° = a
00:00
Part B
What is the measure of the other angle? Enter your answer in the box.
Answer:
134 - 85 = a
a = 49
Step-by-step explanation:
The sum of the two angles is 134
a+ 85 = 134
134 - 85 = a
49 =a
50 POINTS + BRAINLIEST
Use complete sentences to describe the net of a triangular pyramid with an equilateral triangle for a base.
Answer:
The net of a triangular pyramid with an equilateral triangle for the base consists of four triangles, and at least three of them are congruent to each other.
Step-by-step explanation:
Can someone please help me with this question? I really don't get it. Your help would be much appreciated. :) What is the length of CD to the nearest tenth?
Answer:
5.7
Step-by-step explanation:
The altitude of a right triangle divides it into two smaller triangles, all three of which are similar.
ΔABC ~ ΔADB ~ ΔBDC
Writing and solving a proportion:
AD / BD = BD / CD
(x + 3) / 5 = 5 / (2x + 3)
(x + 3) (2x + 3) = 25
2x² + 9x + 9 = 25
2x² + 9x − 16 = 0
x = [ -9 ± √(81 − 4(2)(-16)) ] / 2(2)
x = [ -9 ± √(81 + 128) ] / 4
x = (-9 ± √209) / 4
x = -5.86 or 1.36
Since x can't be -5.86, x = 1.36. So the length of CD is:
CD = 2(1.36) + 3
CD = 5.7
In a sociology course, the professor informed the students of a recent exam ratio of 9:7:2 for As, Bs , and Cs. If 72 students scoring C or better completed the exam l, how many students received Bs?
Answer:
28
Step-by-step explanation:
To solve this, I would first add up the total of the numbers in the ratio.
9 + 7 + 2 = 18
Then, I would divide 72 by that number.
72/18 = 4.
Finally, I would multiply that quotient by 7 because 7 is the number in the ratio for B's.
4 x 7 = 28
Sloane kicked a soccer ball at a speed of 48 feet per second. If the ball never leaves the ground, then it can be represented by the function H(t) = −16t2 + 48t. Determine the time the ball traveled. t = 0.33 seconds t = 3 seconds t = 16 seconds t = 48 seconds
Answer:
t = 3 seconds
Step-by-step explanation:
I took the test and i got it right.
The time the given ball traveled for is required.
The time the ball traveled was t = 3 seconds
Equation of motionThe given equation is [tex]H(t)=-16t^2+48t[/tex]
The ball never leaves the ground so the height of the ball is 0.
[tex]0=-16t^2+48t[/tex]
Solving the equation we get
[tex]-48t=-16t^2[/tex]
Dividing the equation by [tex]t[/tex] on both sides
[tex]\Rightarrow 48=16t[/tex]
Dividing the equation by 16 on both sides
[tex]\Rightarrow t=\dfrac{48}{16}\\\Rightarrow t=3\ \text{s}[/tex]
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Write a compound inequality to represent all of the numbers between -4 and 6.
Answer:
-4<X<6
Step-by-step explanation:
Let the number be X
Hence -4<X<6
Complete the standard form of the equation of a hyperbola that has vertices at (-10, -15) and (70, -15) and one of its foci at (-11, -15).
Answer:
[tex]\frac{(x-30)^{2}}{40^{2}} - \frac{(y+15)^{2}}{3^{2}} = 1[/tex]
Step-by-step explanation:
The equation of the horizontal hyperbola in standard form is:
[tex]\frac{(x-k)^{2}}{a^{2}} - \frac{(y-k)^{2}}{b^{2}} = 1[/tex]
The position of its center is:
[tex]C(x,y) = \left(\frac{-10 + 70}{2}, -15 \right)[/tex]
[tex]C(x, y) = (30,-15)[/tex]
The values for c and a are respectively:
[tex]a = 70 - 30[/tex]
[tex]a = 40[/tex]
[tex]c = 30 - (-11)[/tex]
[tex]c = 41[/tex]
The remaining variable is computed from the following Pythagorean identity:
[tex]c ^{2} = a^{2} + b^{2}[/tex]
[tex]b = \sqrt{c^{2}-a^{2}}[/tex]
[tex]b = \sqrt{41^{2}-40^{2}}[/tex]
[tex]b = 3[/tex]
Now, the equation of the hyperbola is:
[tex]\frac{(x-30)^{2}}{40^{2}} - \frac{(y+15)^{2}}{3^{2}} = 1[/tex]
Answer:
The above answer is correct but the 3 should be a 9
Step-by-step explanation:
Plato
