Three-dimensional objects
the outer diameter: 10 cm, r₁ = radius = 5 cm
the inner diameter: 9 cm, r₂ = 4.5 cm
volume of metal:
[tex]\tt =\dfrac{4}{3}\pi(r_1^3-r_2^3)\\\\=\dfrac{4}{3}\pi(5^3-4.5^3)\\\\=141.952\:cm^3[/tex]
Find the perimeter and area of the figure.
2 in.
2 in.
2 in.
2 in.
1 in.
Braden is admiring a statue in Springfield Park. The statue is 3.4 meters taller than he is, and Braden is standing 8 meters away. How far is it from the top of the statue to Braden's head? If necessary, round to the nearest tenth. meters
Answer:
8.69 m
Step-by-step explanation:
We have to use the Pythagorean theorem here
Statue is 3.4 tall, that's one leg of the right traingle
Braden is 8 meters away, that's the longer leg of the right triangle
the hypotenuse would be the distance between Braden's head and the top of the statue (let's assume it is X )
x^2 = 3.4^2 + 8^2 = 11.56 + 64 = 75.56
x = 8.69
which of the following is a linear function? (89 POINTS)HURRY PLSSSSS
A linear function is a straight line formed on a coordinate plane.
To classify an equation as a linear function:
It must not have any exponent in the equation. If there is a fraction, the denominator of that fraction must not multiply by x.If any of these two occurs in an equation, the line can form a curve in a line, which is a non-linear function. A non-linear function is a curved line formed on a coordinate plane.
Option A - y = x³ + 1:
This equation has an exponent in the variable x. Hence, this is a non-linear function.Option B - 5x/6 = y - 4:
This equation has no exponents in the equation. Hence, this is a linear function and also our answer.Option C - y = 8x²
This equation has an exponent in the term 8x². Hence, this is a non-linear function.Option D - y = 1/5x
The denominator of the fraction on the RHS side is multiplied by x. Hence, this is not a linear function.Hence, Option B is correct.
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Erin reads 76 pages in 2 hours at ths rate how many pages would he read in 5 hours
Answer:
190 pages
Step-by-step explanation:
To solve the # of pages he would read in 5 hours, let's first find the number of pages he reads in one hour.
76 pages ÷ 2 hours38 pages per hourNext, we multiply 38 by 5.
38 × 5190 pagesTherefore, the answer is 190 pages.
Answer:
190 pages
Step-by-step explanation:
Given the following question:
Erin read 76 pages in 2 hours...
How many pages would he have read in 5 hours?
In order to find the answer, we divide the number of pages he read in two hours by two. To find the number of pages he reads in 1 hour, then just multiply that answer by five.
[tex]2h=76p[/tex]
[tex]4h=76+76=152p[/tex]
[tex]76\div2=38[/tex]
[tex]152+38=190[/tex]
[tex]5h=190p[/tex]
In five hours, Erin would have read "190 pages" of his book.
Hope this helps.
What is the following quotient? StartFraction 6 minus 3 (RootIndex 3 StartRoot 6 EndRoot) Over RootIndex 3 StartRoot 9 EndRoot EndFraction.
Exponent properties help us to simplify the powers of expressions. The quotient of the given expression [tex]\dfrac{6 - 3(\sqrt[3]{6})}{\sqrt[3]{9}}[/tex] is (2∛3 - ∛18).
What are the basic exponent properties?[tex]{a^m} \cdot {a^n} = a^{(m+n)}\\\\\dfrac{a^m}{a^n} = a^{(m-n)}\\\\\sqrt[m]{a^n} = a^{\frac{n}{m}}\\\\(a^m)^n = a^{m\times n}\\\\(m\times n)^a = m^a\times n^a\\\\[/tex]
Given to us
[tex]\dfrac{6 - 3(\sqrt[3]{6})}{\sqrt[3]{9}}[/tex]
We will solve the problem using the basic exponential properties,
[tex]\dfrac{6 - 3(\sqrt[3]{6})}{\sqrt[3]{9}}\\\\ = \dfrac{6}{\sqrt[3]{9}} - \dfrac{3(\sqrt[3]{6})}{\sqrt[3]{9}}\\\\ = (6\cdot 3^{-\frac{2}{3}}) - [3 \cdot (2 \cdot 3)^{-\frac{2}{3}}3^{-\frac{2}{3}}]\\\\= (2 \cdot 3 \cdot 3^{-\frac{2}{3}}) - [3 \cdot 2^{-\frac{2}{3}} \cdot 3^{-\frac{2}{3}}3^{-\frac{2}{3}}]\\\\[/tex]
[tex]= [2 \cdot 3^{(1-\frac{2}{3})}] - [2^{\frac{1}{3}}\cdot 3^{(1+\frac{1}{3} - \frac{2}{3})}]\\\\= [2 \cdot 3^{(\frac{1}{3})}] - [2^{\frac{1}{3}}\cdot 3^{(\frac{2}{3})}]\\\\= 2\sqrt[3]{3} - \sqrt[3]{2}\sqrt[3]{9}\\\\=2\sqrt[3]{3} - \sqrt[3]{18}[/tex]
Hence, the quotient of the given expression [tex]\dfrac{6 - 3(\sqrt[3]{6})}{\sqrt[3]{9}}[/tex] is (2∛3 - ∛18).
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Answer:
A
Step-by-step explanation:
ansawer k lol
I need help fast 10 points and brainlest the answers are A. (-6,-2) B. (-2,6) C. (6,2) D. (-2,-6)
Hi there!
The solution to this system of equations is the point where the graphs of the equations intersect.
That point only will make both equations true.
So, where do these graphs meet?
First, look at the x-coordinate. It's -6.
Now, look at the y-coordinate. It's -2.
Thus, the answer is
(-6, -2)
Hope it helps!
Ask me if you have any doubts.
Enjoy your day!
~Misty~
Find the sum of the first 8 terms of the following sequence. Round to the nearest hundredth if necessary 6,−4, 8/3
Step-by-step explanation:
with the introduction of fractions it is clear we are multiplying things to get the sequence.
that makes this a geometric sequence, meaning that every new term is created by multiplying the previous term by a certain constant number, the ratio r.
what do we have to multiply with the first term (6) to get -4 ?
6×r = -4
r = -4/6 = -2/3
to check we use the same factor with the second term and see, if we get the predefined third term :
-4 × -2/3 = 8/3
correct, perfect.
so,
a0 = 6
an = an-1 × -2/3 = a0 × (-2/3)^(n-1) = 6 × (-2/3)^(n-1)
for the sum of a finite number of terms of a geometric sequence the formula is :
Sn = a0×(r^n - 1) / (r - 1) if |r| > 1
Sn = a0×(1 - r^n) / (1 - r) if |r| < 1
Sn = a0×n if r = 1
in our case : |-2/3| = 2/3 < 1
S8 = 6×(1 - (-2/3)⁸) / (1 - (-2/3)) =
= 6×(1 - 256/6561) / (3/3 - -2/3) =
= 6×(6561/6561 - 256/6561) / (5/3) =
= 6×(6305/6561) × (3/5) = 2×(6305/2187) × (3/5) =
= 2×(1261/2187) × 3 = 2×(1261/729) =
= 2522/729 = 3.459533608...
≈ 3.46
What is the rule for the function shown in the table?
Input x -2, -1, 0, 1, 2
Output y 4, 1, -2, -5, -8
y = -2 x
y = x – 6
y = -3 x - 2
y = -2 x – 2
Answer:
y = - 3x - 2
Step-by-step explanation:
The function is linear and can be expressed in slope- intercept form
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 4) and (x₂, y₂ ) = (- 1, 1) ← 2 ordered pairs from the table
m = [tex]\frac{1-4}{-1-(-2)}[/tex] = [tex]\frac{-3}{-1+2}[/tex] = [tex]\frac{-3}{1}[/tex] = - 3 , then
y = - 3x + c
To find c substitute any ordered pair into the equation
using (0, - 2 ) , then
- 2 = - 3(0) + c = 0 + c ⇒ c = - 2
y = - 3x - 2 ← function rule
Answer:
y = - 3x - 2
Step-by-step explanation:
A patient has a disease.
She has 43 body cells affected on day 1.
The number of affected cells doubles every day.
The disease becomes serious when 210 body cells are affected.
On which day does the disease become serious?
You must show your working.
Answer:
yes
Step-by-step explanation:
no
Please help I am just dumm. But um so
Now do the same but
THIS IS A 2 PART QUESTION LOOK AT PICTURE FOR MORE DETAIL.
Number 1
Definitions________________
Supplementary - either of two angles whose sum is 180°.
Complementary - either of two angles whose sum is 90°.
________________
Since we know that supplementary angles are angles that add up to 180° we can make an equation
Let's phrase ∠B as x and substitute ∠A as 65°________________
[tex]65+x=180\\x=115[/tex]
________________
Number 2
Since we know that complementary angles are angles that add up to 90° we can make an equation
Let's phrase ∠B as x and substitute ∠A as 65°________________
[tex]65+x=90\\x=25[/tex]
________________
[tex]{\huge{\boxed{\mathfrak{Answer}}[/tex]
Number 1 : ∠B = 115° Number 2 : ∠B = 25°There are about 30.5 centimeters in a foot. There are 3 feet in a yard. Choose one answer
Answer:
30feet= 91.5 centimeters
The total of cm in the 1 yard based upon 30.5 centimeters in a foot will be 91.5 centimeters.
What is multiplication?Multiplication is the general procedure in mathematics in which we multiply two or more numbers to each other to find a new multiplied number.
In another word, multiplication is nothing but changing one value by-product of another value
Multiplication gives us a resultant number that will be very big as compared to the number which is going to be multiplied if and only if the number which is going to be multiplied is more than one.
Given that
1 feet = 30.5 centimeters
Given that
1 yard = 3 feet
Hence 1 yard = 3 × 30.5 centimeter.
1 yard = 91.5 centimeters hence in 1 yard there will be 91.5 centimeters
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I'm desperate, this is my last assignment to do for now
Answer:
Given Below. [ done below, side changing which changed sign + to - and - to + ]Step-by-step explanation:
6. x + 21 = 56
→ x = 56 – 21
→ x = 35
7. n – 13 = 8
→ n = 8 + 13
→ n = 21
8. w – 7 =41
→ w = 41 + 7
→ w = 48
9. b + 22 = 89
→ b = 89 – 22
→ b = 67
10. z – 53 = 26
→ z = 26 + 53
→ z = 79
What is 4/5 in thirds?
Please answer in thirds not sixths or twelves
Answer:
There is no way that 4/5 can equal a thing with 3 as a denominator
Step-by-step explanation:
4/5 is already simplified, but it does equal 8/10 or 12/15
can you help me plss
Answer:
see below
Step-by-step explanation:
1. At least 2 points create a line
2. At least 3 points determine a plane
3. The intersection of two distinct planes is a line
3. The intersection of 2 coplanar lines is a point
5. A Plane can contain a line and a point not on the line
Identify the slope and y-intercept of each linear function's equation.
Answer:
1) Slope = -1, y-intercept = 3
2) Slope = 1, y-intercept = -3
3) Slope = -3, y-intercept = 1
4) Slope = 3, y-intercept = -1
Step-by-step explanation:
In order to identify slope and y-intercept, you must find where each variable hits each axis when the other is 0.
For example, to find the y intercept of y=2x-4, you would substitute 0 in for x and solve for y.
y = 2(0)-4 --> y = -4
Thus, the point is (0, -4) with slope of 2. (The slope can be found by identifying the number, m, in front of 'x' from the equation y = mx + b.
Answer:
A. y = 3x-1; slope is 3 and y-intercept is -1
B. -x+3 = y; slope is -1 and y-intercept is 3
C. x-3 = y; slope is 1 and y-intercept is -3
D. y = 1-3x; slope is -3 and y-intercept is 1
Step-by-step explanation: woof
Brainliest for correct answer !! :D
f (x) = 3x - 5 g (x) =2^x find fg(3)
(fog)(3) = 22
Step-by-step explanation:
f(x + 3x - 5; g(x)=x²9(3)=3²=9
(fog)(3) = f(g(3)) = f(9)=3-9-5=27
-5-22 [Ans]
In a rectangle, the length is three times the width. If the area of the rectangle is 18 square meters, find
the length of the rectangle to the nearest hundredth
of a meter.
At the beginning of the school year, the bookstore
had 130 copies of the third grade math book
By the end of the first month of school, all but
16 books were sold. How many math books were
sold during the first month of school?
Answer:
114 books.
Step-by-step explanation:
I'm pretty sure what you have to do is just subtract 16 from 130. (130-16).
When you do that you get 114 books. (sorry for basically no explanation.)
Direction: Determine the measure of each of the following angles. Then, classify it as acute, obtuse or right angle.
Answer:
11. 130°, obtuse angle
12. 40°, acute angle
13. 90°, right angle
14. 110°, obtuse angle
15. same as 14, I guess?
Step-by-step explanation:
questions 11, 14, 15 - an obtuse angle is an angle greater than 90° but less than 180°
question 12 - an acute angle is an angle that is less than 90°
question 13 - a right angle is exactly 90°
in question 14 the angle starts at 30° and ends at 140° so you subtract 30 from 140
hope this helps :)
While waiting for a video game to download, you notice that 30%, percent of 32,000 kilobytes have been downloaded so far.
How many kilobytes have been downloaded so far?
Answer:
9600
Step-by-step explanation:
30% can also be written as 0.3 so 0.3×32000 is 9600. 9600 kilobytes have been downloaded so far
Distribute to create an equivalent expression with the fewest symbols possible. 3(7x+1)=
3(7x + 1)
3 . 7x = 21x
3.1 = 3
3(7x + 1 ) = 21x + 3
The equivalent expression with the fewest symbols possible is 21x+ 3.
What is Distributive Property?The distributive Property states that it is necessary to multiply each of the two numbers by the factor before performing the addition operation when a factor is multiplied by the sum or addition of two terms.
we have,
3 x (7x+ 1)
By Distributive property we know
a x( b+ c) = a x b + a xc
ax (b-c) = a x b - a x c
So, 3 (7x + 1 )
= 3 (7x)+ 3(1)
= 21x + 3
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An angle bisector of a triangle divides the opposite side of the triangle into segments 6 and 4 in. long. The side of the triangle adjacent to the 6-in. segment is 9 in. long. How long is the third side of the triangle?
Answer:
6 in
Step-by-step explanation:
The angle bisector divides the opposite side into segments that are proportional to the other 2 sides.
let the third side of the triangle be x , then
[tex]\frac{9}{x}[/tex] = [tex]\frac{6}{4}[/tex] ( cross- multiply )
6x = 36 ( divide both sides by 6 )
x = 6
The third side of the triangle is 6 in
A serving of chickpeas contains 1,850 milligrams of potassium. How many grams of potassium is that?
Answer:
1.85 grams
Step-by-step explanation:
1 milligram is equal to 0.01 gram
so 1850 should be equal to 1.85 grams
Answer: 1.85 grams of potassium.
Step-by-step explanation: Since 1,000 milligrams is equal to 1 gram, you have to divide 1850 by 1000. The results will be 1.85.
An item is regularly priced at $95 it is on sale for 80% off the regular price.How much in dollars is discounted from the regular price?
Answer:
$76
Step-by-step explanation:
Regular price: $95
Discount %= 80%
What is 80% of 95
=) [tex]\frac{80}{100}[/tex]×[tex]\frac{95}{1}[/tex]= 76
So, $76 are discounted
Hope this helps!
A school tested all of their 250 lights and 16 of them were faulty.Find the percentage of lights that were faulty (do not round your answer)
Answer:
6.4% of the lights are faulty
Step-by-step explanation:
Well you can make a proportion out of this question.
so lets do faulty/total
16/250 = x/ 100
Since x/100 is basically finding the percent since percent means out of a hundred.
Cross multiply to solve.
250x= 1600
SOlve for x
X=6.4
6.4 percent of the lights are faulty.
how to find x in a parallelogram?
Step-by-step explanation:
angles are bisected by diagonals in parallelogram
11x-2 = 28
11x = 30
x=30/11
2. Tell whether the ordered pair (-1,-2) is the solution of the system. x + y =
-3 and 2x - y = -4*
Answer:
Not the solution tp the system because the ordered pair should be true for both equations. However the last equation is not true.
Step-by-step explanation:
(-1,-2) is the solution of the system. x + y =-3 and 2x - y = -4*
x + y =-3 :
(-1)+ (-2) = -3
-1-2 =-2 -3=-3
2x - y = -4:
2(-1)-(-2)=-4
(-2) -(-2)= -4
0=-4
ASAP A 6-yard roll of plastic wrap costs $6.66. What is the price per foot?
Which expression finds the measure of an angle that is coterminal with a 45° angle? 45° 90° 45° 180° 45° 270° 45° 360°.
Coterminal angles are measured from the positive x-axis. The coterminal angle for angle 45° is (270°+45°).
What are coterminal angles?Coterminal angles are angles that are made by the positive x-axis of the coordinate plane.
Given to us
θ = 45°
We know that coterminal angles are those angles that are measured from the positive x-axis of the coordinate plane.
In order to find the angle coterminal with a 45° angle, we will deduct θ from 360°, therefore we will measure the from positive x-axis but in the clockwise direction.
[tex]\theta _1 = 360^o - \theta\\\\\theta _1 = 360^o - 45^o\\\\\theta _1 = 315^o\\\\\theta _1= 270^o + 45^o[/tex]
Hence, the coterminal angle for angle 45° is (270°+45°).
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Answer:
c.45° + 270°
Step-by-step explanation:
Pietro is planning a patio using paving stones that are circles, semicircles, and quarter-circles. All stones have a radius of 10 inches. What is the area of one pattern of stones that has 5 circles, 10 semicircles, and 100 quarter-circles? Then, select the total area.
Answer:
3500[tex]\pi[/tex] = 10995.57 in³ (nearest hundredth)
Step-by-step explanation:
area of a circle = [tex]\pi r^2[/tex]
⇒ area of a semicircle = [tex]\frac{1}{2}\pi r^2[/tex]
⇒ area of a quarter circle = [tex]\frac{1}{4}\pi r^2[/tex]
total area = 5 circles + 10 semicircles + 100 quarter circles
⇒ total area = [tex]5\pi r^2 +(10\times \frac{1}{2}\pi r^2)+(100 \times \frac{1}{4}\pi r^2)[/tex]
⇒ total area = [tex]35\pi r^2[/tex]
If r = 10 inches
⇒ total area = [tex]35\pi \times 10^2=3500\pi =10995.57 \ \textsf{in}^2 \ \textsf{(nearest tenth)}[/tex]