[tex]s = 5000(1.07) {}^{t} [/tex]
[tex]s = 5000(1.07) {}^{10} [/tex]
[tex]s = 5000(1.96715)[/tex]
[tex]s = 9835.756 \: dollars[/tex]
What is the volume of this cone? Use 3.14 for π and round your answer to the nearest tenth.
In your answer, give the volume of the cone rounded to the nearest tenth, and then explain how you calculated it.
Answer:
volume = 33.5 in³
Step-by-step explanation:
Formula:
[tex]\sf volume \ of \ a \ cone=\dfrac13\pi r^2h[/tex]
Given:
r = 2 inh = 8 inπ = 3.14Substituting the given values into the formula:
[tex]\sf \implies volume=\dfrac13 \times 3.14 \times 2^2 \times 8[/tex]
[tex]=\dfrac13 \times 3.14 \times 4 \times 8[/tex]
[tex]\sf =33.49333333...[/tex]
[tex]\sf =33.5 \ in^3 \ (nearest \ tenth)[/tex]
CHOICES -> TRUE OR FALSE
Answer:
1.True
2.false
3.True
4.True
5.false
6.false
7.false
8.True
9.True
10.false
Step-by-step explanation:
10,000cm^2=1m^2
Is ABSE- ATES? If so, identify the similarity postulate or theorem that
applies.
The length is :____meters and the width is____meters.
Answer:
Length = 42, Width = 14
Step-by-step explanation:
Say width = x
3x + x = 56
4x = 56
x = 14
14 x 3 = 42.
Answer:
width = 7
length = 21
Step-by-step explanation:
x + 3x = 56/2
4x = 28
x = 7
Factor each completely.one zero has been given
f(x)=x^3-4x+16;-2
F(x) = X^4+ 2x^-13x^2 -10x + 40;2
F(x)=x^3-3x^2-13x+15;-3
F(x)=x^4-8x^3+19x^2-12x;3
The polynomials in factored form are listed below:
f(x) = (x - 3.043) · (x - 1.521 - i 1.716) · (x - 1.521 + i 1.716) f(x) = (x - 2.236) · (x - 2) · (x + 2.236) · (x + 4)f(x) = (x + 3) · (x - 5) · (x - 1)f(x) = (x - 4) · (x - 3) · (x - 1) · xHow to factor polynomialsIn this question we must factor polynomials as there are both numerical and analytical methods. Mathematically speaking, factoring polynomials is represented by the following formula:
[tex]\sum^{n}_{i = 0} \,c_{i}\cdot x^{i} = \prod^{n}_{i=1}(x-r_{i})[/tex], [tex]\forall\,x, r_{i}\in \mathbb{C}[/tex] (1)
Where:
[tex]c_{i}[/tex] - [tex]i[/tex]-th Coefficient[tex]r_{i}[/tex] - [tex]i[/tex]-th RootRegarding fourth order polynomials we can solve them by Ferrari's method and third order polynomials by Descartes' method. Then, the solutions of each polynomials are given below:
Polynomial 1 ([tex]f(x) = x^{3}-4\cdot x +16[/tex])f(x) = (x - 4) · (x - 3) · (x - 1) · x
Polynomial 2 ([tex]f(x) = x^{4}+2\cdot x^{3}-13\cdot x^{2}-10\cdot x + 40[/tex])f(x) = (x - 2.236) · (x - 2) · (x + 2.236) · (x + 4)
Polynomial 3 ([tex]f(x) = x^{3}-3\cdot x^{2}-13\cdot x +15[/tex])f(x) = (x + 3) · (x - 5) · (x - 1)
Polynomial 4 ([tex]f(x) = x^{4}-8\cdot x^{3}+19\cdot x^{2}-12\cdot x[/tex])f(x) = (x - 4) · (x - 3) · (x - 1) · x
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A high-altitude spherical weather balloon expands as it rises due to the drop in atmospheric pressure. Suppose that the radius r increases at the rate of 0.03 inches per second and that r=48 inches at time t=0. Determine a function that models the volume V of the balloon at time t and find the volume at t=300 seconds.
Considering a linear function for the radius, we have that:
The volume of the sphere is modeled by [tex]V(t) = \frac{4\pi(0.03t + 48)^3}{3}[/tex].After 300 seconds, it is of 775,735 in³.What is a linear function?A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value.What is the volume of a sphere?The volume of a sphere of radius r is given by:
[tex]V = \frac{4\pi r^3}{3}[/tex]
In this problem, radius r increases at the rate of 0.03 inches per second and that r=48, hence it is represented by the following linear function:
[tex]r(t) = 0.03t + 48[/tex]
Thus, the volume of the sphere is given by:
[tex]V = \frac{4\pi r(t)^3}{3}[/tex]
[tex]V(t) = \frac{4\pi(0.03t + 48)^3}{3}[/tex]
After 300 seconds, the volume in cubic inches is given by:
[tex]V(300) = \frac{4\pi(0.03(300) + 48)^3}{3} = 775735[/tex]
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A group of people are fundraising, and each person raises a certain amount of money for every mile they walk. Each person's fundraising is represented below using d for the dollars that person raises and w for the miles that person walks. Select all the representations that can be described by the equation d = 2w.
Answer:
B, C, EStep-by-step explanation:
According to coordinates on the graphs and numbers in the tables we have the following relationship:
A) d = 1/2wB) d = 2wC) d = 2wD) d is not proportional with w since 12/6 ≠ 18/10 ≠ 20/12E) d = 2wAs we see B, C and E have same relationship, matching the target.
Step-by-step explanation:
hope it's help you this answer
How to solve [tex]\frac{dy}{dx} =2|x|[/tex] ?
dy= 2|x|dx
integral dy= integral 2|x|dx
y= X² + c
can someone pls answer the UNANSWERED questions. (the ones that dont have the blue dot on them) WILL MARK BRAINLIEST
Answer:
7.B
9.A
Step-by-step explanation:
Gcf of 24 and 36
is 12
a^2 and a is a
180-50
=130
acute mean less than 90 degrees
180-89=41
89 and 41 are acute
1 is also wrong
Answer:
7. B 2·2·3·a
9. B 41°
Step-by-step explanation:
You want the greatest common factor of 24a² and 36ab, and you want the smallest integer-valued angle in an acute triangle with one angle 50 degrees.
7. GCFThe factors of 24a² are 2·2·2·3·a·a.
The factors of 36ab are 2·2·3·3·a·b.
The factors these lists have in common are 2·2·3·a, matching choice B.
9. AnglesIf one angle of a triangle is 50°, the sum of the other two angles must be ...
180° -50° = 130° . . . . . . sum of angles B and C
One of these angles will be the smallest it can be only if the other is the largest it can be. The largest integer acute angle is 89°, so the smaller angle will be ...
130° -89° = 41°
The smallest possible angle in the acute triangle is 41°.
__
Additional comment
8. A dodecagon has 12 lines of symmetry, 6 through opposite vertices, and 6 through opposite sides. The correct choice for 8 is A.
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A store receives a shipment of boxes of tea. The total mass shipment is 6kg.
-each box has a mass of 0.040 kg.
-boxes of green tea make up 18% of the shipment.
How many boxes of green tea were in the shipment?
A. 7
B. 27
C. 58
D. 108
Answer the Both (a) and (b) . And show the method too. I will make Brainelist + 50 points
#a
4p-6pq+9q-64p-3(2pq+3q-2)#b
That be x and y
So
x+y=15--(1)2x+4y=64--(2)So
from eq(1)
x=15-y--(3)Put in second one
2(15-y)+4y=6430-2y+4y=642y=34y=17Put in third one
x=15-17x=-2Take it positive
x=2Answer:
(a) (i) Factorize [tex]\sf 4p-6pq+9q-6[/tex]
Rewrite by swapping the order of the first two terms:
⇒ -6pq + 4p + 9q - 6
Factorize the first two terms and the last two terms separately:
⇒ -2p(3q - 2) + 3(3q - 2)
Factor out the common term (3q - 2):
⇒ (3q - 2)(-2p + 3)
(ii)
Square of the binomial: [tex](a+b)^2=a^2+2ab+b^2[/tex]
Rewrite [tex]9.9[/tex] as [tex]10 - 0.1[/tex]
Therefore, [tex]a = 10[/tex] and [tex]b = -0.1[/tex]
Also, remember that multiplying a number by 0.1 is the same as dividing it by 10. (when dividing a decimal number by 10, simply move the decimal point 1 place to the left).
[tex]\begin{aligned}\implies 9.9^2 & =(10-0.1)^2\\ & =10^2-2 \cdot 10 \cdot 0.1+0.1^2\\& = 100-\dfrac{2 \cdot 10}{10}+\dfrac{0.1}{10}\\& =100-2+0.01\\ & =98 + 0.01\\ & = 98.01\end{aligned}[/tex]
(b) (i)
Let x = number of motor bicycles
Let y = number of cars
Given:
There are 15 vehicles of two types⇒ x + y = 15
Given:
The number of tires in all vehicles is 64⇒ 2x + 4y = 64
(ii) Rewrite x + y = 15 to make x the subject:
⇒ x = 15 - y
Substitute into 2x + 4y = 64 and solve for y:
⇒ 2(15 - y) + 4y = 64
⇒ 30 - 2y + 4y = 64
⇒ 30 + 2y = 64
⇒ 2y = 34
⇒ y = 17 cars
Substitute found value of y into x = 15 - y to find x:
⇒ x = 15 - 17 = -2 motorbikes
**There must be an error in the question, as with the given information, the number of motorbikes is -2, which is impossible.**
Here are the possible combinations of number of motorbikes (M) and number of cars (C) whose sum of tires is 64. As you can see, there is no combination that sums to 15 vehicles:
0 M + 16 C = 16 vehicles
2 M + 15 C = 17 vehicles
4 M + 14 C = 18 vehicles
6 M + 13 C = 19 vehicles
8 M + 12 C = 20 vehicles
10 M + 11 C = 21 vehicles
12 M + 10 C = 22 vehicles
14 M + 9 C = 23 vehicles
16 M + 8 C = 24 vehicles
18 M + 7 C = 25 vehicles
20 M + 6 C = 26 vehicles
22 M + 5 C = 27 vehicles
24 M + 4 C = 28 vehicles
26 M + 3 C = 29 vehicles
28 M + 2 C = 30 vehicles
30 M + 1 C = 31 vehicles
32 M + 0 C = 32 vehicles
What is the area, in square inches, of the isosceles trapezoid below?
2. Find the length of AD if the length of AB is 14 units, the length of BC is 5 units, and the length of CD is 8 units,
Answer: sqrt(285)
Step-by-step explanation:
The volume of a right cone is 252pi units^3. If its height is 21 units, find its radius.
Based on the calculations, the radius of this right cone is equal to 6 units.
Given the following data:
Volume of cone = [tex]252\pi \;units^3[/tex]Height of cone = 21 units.How to calculate the volume of a cone.Mathematically, the volume of a cone is given by this formula:
[tex]V = \frac{1}{3} \pi r^2h[/tex]
Where:
h is the height.r is the radius.Making r the subject of formula, we have:
[tex]r=\sqrt{\frac{3V}{\pi h} } \\\\[/tex]
Substituting the given parameters into the formula, we have;
[tex]r=\sqrt{\frac{3\times 252\pi}{\pi \times 21} } \\\\r=\sqrt{\frac{756}{21} }\\\\r=\sqrt{36}[/tex]
r = 6 units.
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Data Analysis 7th grade math
Laura kept a record of the number of minutes she spent at the gym this week.
Day Minutes
Monday 60
Tuesday 70
Wednesday 62
Thursday ?
How many minutes should she spend at the gym on Thursday in order to average 65 minutes a day for four days.
________ Minutes
she spends 68 minutes at the gym on Thursday in order to average 65 minutes a day for four days.
What is Average?The mean (also known as the arithmetic mean, which varies from the geometric mean) of a dataset is calculated as the sum of all values divided by the total number of values. This measure of central tendency is usually referred to as the "average".
Granted, Laura recorded how long she spent at the gym each day this week.
Let "x" represent the time she spent working out on Thursday.
Since,
Average = (sum of values)/ count of values
Thus, in our case
Average = (60 +70 +62 +x)/4
average is 65 minutes a day for four days.
65 = 192 +x)/4
192 +x = 260
x = 260-192
x = 68
Therefore, she spends 68 minutes at the gym on Thursday in order to average 65 minutes a day for four days.
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Joe collects toy cars and marbles. Whenever he collects 4 cars, he also collects 12 marbles. How many marbles does he collect after collecting 20 cars? What rule is being used?
Answer; 60
Step-by-step explanation:
solution:
here,
4 cars = 12 marbles
1 car = 12/4. = 3 marbles
then,
20 cars = 3(20) marbles
= 60 marbles
We can make this into a fraction 4/12 = 20/x
Then, we will solve for x
4x = 240 cross multiply
x = 60
Joe collects 60 marbles after collecting 20 cars.
The Multiplicative Inverse Property is being used.
See the picture below and answer for 50 points and brainliest
Answer:
Non-linear equations:
[tex]y=x^2 +2x-3[/tex]
[tex]3y=2^x[/tex]
Step-by-step explanation:
Linear equation: y = mx + b
Therefore, a linear equation has 2 variables that have no exponents.
So the non-linear equations are:
[tex]y=x^2 +2x-3[/tex] (this is a quadratic equation - polynomial with degree 2)
[tex]3y=2^x[/tex] (this is an exponential equation)
I need help with this
Answer:
The correct answer is B: 3 cubic feet.
Step-by-step explanation:
If you want to find the volume of a rectangular prism, you need to know the length, width, and height. The first rectangular prism is a cube with a length of 3 feet, so the volume of the figure would be [tex]3^{3}=27 ft^{3}[/tex]. The second rectangular prism has a length of 3 feet, a width of 2 feet, and a height of 4 feet, so the volume of the prism would be 3 × 2 × 4 = [tex]24 ft^{3}[/tex]. Now that you know the 2 volumes, you need to subtract the volumes in order to find the difference, which is 27 - 24 = 3 [tex]ft^{3}[/tex].
Please help as soon as possible
Answer:
possibly (9, 9) (9, 5) (5, 9)
If 10% of your paycheck was withheld for federal income taxes and another 6% for state income taxes, how much would your net (or take-home) pay be?
Your net income/take-home would be 84.6 percent of the gross amount.
What is net income?Your net income is the amount of money left after payroll deductions in the form of taxes and other charges on the gross amount of your paycheck.
If we deduct federal and state taxes, 10 percent and 6 percent respectively, we would charge 10 percent and 6 percent of 100 and have 84.6 percent of your original(gross) income left.
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Find the equation of the line that passes through points a and B. A(1 ,7) B(-3,-1)
Answer:
well i wrote it in paper nothing to explain it's ez
Find the volume. Please help! Thanks!
hehe
Volume of a Square Pyramid: 1/3 x length x width x height
Length = 2
Width = 2
Height = 3
Volume = 1/3 x 2 x 2 x 3
Volume = 1/3 x 4 x 3
Volume = 1/3 x 12
Volume = 4
Volume = 4 cm^3
Hope this helps!
how many one third cup servings are in 16 cups
May someone please help me with this?
Answer:
Step-by-step explanation:
First, calculate the angle of FDE (assume it as α) by:
[tex]EF=\frac{\alpha}{360}\times(2\pi)(DE) \rightarrow 2\pi = \frac{\alpha}{360}(2\pi)(6)[/tex]
[tex]\alpha=60^{0}[/tex]
So, use this angle to calculate the area of FDE (unshaded region):
[tex]A_{US}=\frac{\alpha}{360}\times(\pi)(DE)^{2}=\frac{60}{360}(\pi)(6^{2})=6\pi[/tex]
So, the shaded region can be determined by:
[tex]A_{S}=A-A_{US}=\pi(DE)^{2}-6\pi=36\pi-6\pi=30\pi=\frac{60}{2}\pi[/tex]
For questions 3 and 4, you will be answering by filling in the blanks. Please be aware that your answer must include any commas or decimals in their proper places in order to be correct. The dollar signs have been provided. For example, if the answer is $1,860.78, then you will enter into the blank 1, 860.78. Do not place any extra spaces between numbers, commas, or decimal places. Round any decimals to the nearest penny when the answer involves money, so that $986.526 would be typed into the blank as 986.53 and $5,698.903 would be typed into the blank as 5,598.90. You will need to use the labor statistics document to answer the following questions.
A. What is your weekly median income if you are a female with an advanced degree?
B. What is your yearly median income if you are a male with an associate's degree?
C. What is your yearly median income if you are a female with an associate's degree?
Based on the given statistics, the weekly median income for a female with an advanced degree would be $901.
The yearly median income for a male with an associate degree would be $36,432.
The yearly median income for a female with an associate degree would be $27,744.
What is the weekly median income for a female with an advanced degree?An advanced degree would be a postgraduate degree like a masters so the weekly median income would be $901.
What is the yearly median income for a male with an associate degree?This can be found as:
= Weekly median income x 4 weeks in month x 12 months in year
= 759 x 4 x 12
= $36,432
What is the yearly median income for a female with an associate degree?= Weekly median income x 4 weeks in month x 12 months in year
= 578 x 4 x 12
= $27,744
Find out more on median weekly incomes at https://brainly.com/question/3318597.
Answer:
Answer above is wrong
Step-by-step explanation:
Can't tell you how to get the answers but these are correct after i failed from the person above.
3. 1,323
4. 49,452.00
5. 37,284.00
What the line measures
Find the value of the expression 1/2x + 3 if x = 12
Step-by-step explanation:
please mark me as brainlest
Whcih choice best describes the group this shape belongs in, based on the kinds of sides and angles it has? Angela chose A as the correct answer. How did she get that answer?
The shape in the figure has 6 sides
The choice that describes the group the shape belongs to is (a) parallel sides, acute angles
How to determine the group of the shape?From the figure, we have the following highlights
The shape has 6 sidesThe direct opposite sides are equalThe direct opposite sides are parallelThe measure of angles between adjacent sides are less than 90 degrees i.e. acute anglesThe above highlight mean that:
The shape belongs to parallel sides, acute angles group of shapes
Hence, Angela's conclusion is correct
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This week you practice your instrument for 3 1/4 on Monday, 2 1/2 hours on Tuesday and 1 hour on Wednesday. Next week you practice for the same number of hours. What is the total number of hours you will have practiced over these six days?
Which expression correctly shows how to solve this problem?
A. 3 1/4 + 2 1/2 + 1
B. (3 1/4 + 2 1/2) + (3 1/4 + 2 1/2)
C. (3 1/4 + 2 1/2 + 1) + (3 1/4 + 2 1/2+ 1
Thank You so much!!!!
Answer:
C. (3 1/4 + 2 1/2 + 1) + (3 1/4 + 2 1/2+ 1)
Step-by-step explanation:
Since, this week you practice your instrument for 3 1/4 on Monday, 2 1/2 hours on Tuesday and 1 hour on Wednesday.
And, next week you practice for the same number of hours.
Same number = (3 1/4 + 2 1/2 + 1)
Thus, [C] (3 1/4 + 2 1/2 + 1) + (3 1/4 + 2 1/2+ 1) is correct.
~Lenvy~
Answer:
[C} [tex]\left(3\frac{1}{4}+2\frac{1}{2}+1\right)+\left(3\frac{1}{4}+2\frac{1}{2}+1\right)[/tex]
Step-by-step explanation:
Given:
this week you practice your instrument for 3 1/4 on Monday, 2 1/2 hours on Tuesday and 1 hour on Wednesday.
Next week you practice for the same number of hours.
To Find:
What is the total number of hours you will have practiced over these six days?
Which expression correctly shows how to solve this problem
Solve:
Knowing that you practice for 3 1/4 on Monday, 2 1/2 hours on Tuesday and 1 hour on Wednesday. Next week you practice the same. Thus, we can know that [C} [tex]\left(3\frac{1}{4}+2\frac{1}{2}+1\right)+\left(3\frac{1}{4}+2\frac{1}{2}+1\right)[/tex] is the correct answer.
Solution if needed.
[tex]\left(3\frac{1}{4}+2\frac{1}{2}+1\right)+\left(3\frac{1}{4}+2\frac{1}{2}+1\right)[/tex]
[tex]=\left(\frac{13}{4}+\frac{5}{2}+1\right)+\left(3\frac{1}{4}+2\frac{1}{2}+1\right)[/tex]
= [tex]\left(\frac{13}{4}+\frac{5}{2}+1\right)+\left(\frac{13}{4}+2\frac{1}{2}+1\right)[/tex]
[tex]=\left(\frac{13}{4}+\frac{5}{2}+1\right)+\left(\frac{13}{4}+\frac{5}{2}+1\right)[/tex]
[tex]\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}[/tex]
[tex]=\frac{27}{4}+\left(\frac{13}{4}+\frac{5}{2}+1\right)[/tex]
[tex]=\frac{27}{4}+\frac{27}{4}[/tex]
[tex]=\frac{27}{2}[/tex]
[tex]=13\frac{1}{2}[/tex]
Solution ⇒ [tex]=13\frac{1}{2}[/tex]
[RevyBreeze]
Choose the correct graph of the function y=√x-3
Answer:
C. where the start point is on (3,0) and goes up and to the right
Step-by-step explanation:
y= √x−3
Swap sides so that all variable terms are on the left hand side.
√x−3 =y
Square both sides of the equation.
x−3=y^2
Add 3 to both sides of the equation.
x−3−(−3)=y^2 −(−3)
Subtracting −3 from itself leaves 0.
x=y^2 −(−3)
Subtract −3 from y^2.
x=y^2 +3