Answers
Answer:the answer is y is less than or equal to 17
Step-by-step explanation: if y + 8 is less than or equal to 25, all you have to do is subtract 8 to 25 and the answer has to be less than or equal to the number
Related Questions
The diagram below gives the dimensions of a swimming pool.
- 18 ft
What is the total area of the swimming pool? Show your work. (2 points)
b. What is the perimeter of the swimming pool? Show your work. (2 points)
Click or tap here to enter text.
Answers
Answer:
[tex]area = base \times hight 36 \times 18 \: ad perimeter \: base \times base \times hight \times hight36 \times 36 \times 18 \times 18[/tex]
Area is given by base * the Hight which gives the area of the pool
What is the volume of the sphere shown below with a radius of 6
Answers
Answer:
[tex]\large\boxed{V=288\pi}[/tex]
Step-by-step explanation:
[tex]\text{The formula of a volume of a sphere:}\\\\V=\dfrac{4}{3}\pi R^3\\\\R-radius\\\\\text{W have the radius}\ R=6.\ \text{Substitute:}\\\\V=\dfrac{4}{3}\pi(6^3)=\dfrac{4}{3}\pi(216)=4\pi(72)=288\pi[/tex]
Which is 6 3/4 (2/9) simplified?
Answers
Answer:
3/2
Step-by-step explanation:
6 3/4 (2/9)
(27/4)(2/9)
4 divided by 2 is 2.
27 divided by 9 is 3.
Answer: 3/2
find a ordered pair to represent a in the equation a=b+c if b= (6,3) and c =(-4,8)
Answers
Answer:
So ordered pair a is (2,11)
Step-by-step explanation:
We are given
a = b+c
and ordered pair b =(6,3) and ordered pair c =(-4,8)
Putting values of b and c in the given equation and adding x and y coordinates of b and c we can find ordered pair a.
a=(6,3)+(-4,8)
a =(6-4,3+8)
a =(2,11)
So ordered pair a is (2,11)
convert 7.2•10•-3 to standard form
Answers
Answer:
0.0072
Step-by-step explanation:
7.2 x [tex]10^{-3}[/tex]
=7.2 x 0.001
=0.0072
Answer:
0.0072
Step-by-step explanation:
The given expression is as follows:
7.2 * 10^(-3)
This expression is in scientific notation, We need to convert it to standard notation for which we will convert the power of 10 to 0.
The power of 10 here is -3. So we will move the decimal point 3 places to the left and get:
= 0.0072 x 10^0
= 0.0072 x 1
= 0.0072
Find the lateral area of a rectangular prism with l=6, w=4, h=2
Answers
Answer:
40 square units
Step-by-step explanation:
The surface area is given by
LA = 2(wh+lh)
where h is the height l is the length and w is the width
We do not include the top or bottom
We know l=6 w=4 and h=2
LA = 2 ( 4*2 + 6*2)
lA = 2( 8+12)
= 2 (20)
= 40
The formula F=mv^2/r gives the centripetal force F of an object of mass m moving along a circle of radius r, where v is the tangential velocity of the object. Solve the formula for v. Rationalize the denominator. Calculate the tangential velocity of a 100kg object with a force of 50 Newton, moving along a circular path with a diameter of 150 meters.
Answers
Answer: (It didn't say what to have the units in so I assumed as is)
(pm) 5sqrt(6)/2
(pm) 6.12372 (rounded version)
Step-by-step explanation:
F=mv^2/r (Given)
rF=mv^2 (Multiply both sides by r)
rF/m=v^2 (Divide both sides by m)
v=(pm) sqrt(rF/m) (Square root both sides)-(pm means plus or minus)
v=(pm) sqrt(rF)/sqrt(m)
v=(pm) sqrt(rF)sqrt(m)/m (I had multiply top and bottom by sqrt(m))
v=(pm) sqrt(rFm)/m
*sqrt( ) means square root of whatever is in the ( ) that follows the sqrt
Now find v if F=50, m=100 kg, and r=150/2=75 so plug in
v=(pm) sqrt(75*50*100)/100
v=(pm) sqrt(375000)/100 OR
v=(pm) sqrt(100*25*3*25*2)/100
v=(pm) 10*5*sqrt(3)*5*sqrt(2)/100
v=(pm) 250sqrt(6)/100
v=(pm) 2.5sqrt(6)
v=(pm) 5sqrt(6)/2
Or if you want a decimal number rounded, it would be (pm) 6.12372
The formula for calculating the centripetal force of an object in circular motion can be rearranged to find velocity. You compute the tangential velocity of a 100kg object with a force of 50N, moving on a circular path with a diameter of 150m, by plugging these values into this rearranged formula. This calculation results in a value of approximately 61.24 m/s for the tangential velocity of the object.
Explanation:The formula F=mv^2/r calculates the centripetal force (F) of an object of mass (m) moving in a circular path with a radius (r). You can solve this formula for velocity (v) by first multiplying both sides by r, making the formula Fr=mv^2. Then, divide both sides by m, which makes the formula Fr/m = v^2. Finally, take the square root of both sides to get v = √(Fr/m).
To calculate the tangential velocity of a 100kg object with a force of 50 Newton, moving along a circular path with a diameter of 150 meters, you must first divide the diameter of the circle by 2 to get the radius, 75 meters. Next, substitute the given values into the formula; v = √((50N * 75m) / 100kg). Therefore, the tangential velocity is approximately √(3750N·m/kg) = 61.24 m/s.
Learn more about Tangential Velocity here:https://brainly.com/question/33443064
#SPJ3
Convert the fraction to a mixed number
5/2=a b/2
Answers
Answer:
2 1/2
Step-by-step explanation:
5 is 2 more than 2 so the the first part would be 2.
[tex]\dfrac{5}{2}=\dfrac{2\cdot2+1}{2}=2\dfrac{1}{2}[/tex]
Write 6.92 x 10-8 in standard notation
Answers
Answer:
0.0000000692
Step-by-step explanation:
We are given the following number in scientific notation and we are to express it in standard notation:
[tex] 6 . 9 2 \times 1 0 ^ - 8 [/tex]
We know that:
[tex] 6 . 9 2 \times 1 0 ^ { - 8 } = \frac { 6 . 9 2 } { 1 0 ^ { 8 } } = \frac { 6 . 9 2 } { 1 0 0 , 0 0 0, 0 0 0 } = 0 . 0 0 0 0 0 0 0 6 9 2 [/tex]
Therefore, the answer in standard notation is 0.0000000692.
Answer:
0.0000000692
Step-by-step explanation:
6.92 x [tex]10^{-8}[/tex]
= 6.92 x 0.00000001
= 0.0000000692
which of the following is an arithmetic sequence?
Answers
Answer:
B
Step-by-step explanation:
And arithmetic sequence is a sequence in which the difference between each of the numbers are constant.
It is not A, because the difference between 3 and 9 is positive 6, and the difference between 9 and 81 is positive 72.
It is not C, because the difference between 4 and 1 is -3, and the difference between 1 and 4 is positive 3.
It is not D, because the difference between 2 and -2 is -4, and the difference between -2 and 2 is positive 4.
And it is B because the numbers maintain a constant difference between each other, which is -3.
Answer:
B
Step-by-step explanation:
An arithmetic sequence has a common difference (d) between consecutive terms.
The only sequence with a common difference is B
1 = 4 = - 3
- 2 - 1 = - 3
- 5 - (- 2) = - 5 + 2 = - 3
The midpoint M of CD has coordinates (6, 6). Point D has coordinates (10, 4). Find the coordinates of point C.
Write the coordinates as decimals or integers.
Answers
Final answer:
To find the coordinates of point C when given the midpoint M and point D, we find the average of the endpoints' coordinates. Solving the equations, we find that the coordinates of point C are (2, 8).
Explanation:
The student is asking to find the coordinates of point C given that the midpoint M of line segment CD is at (6, 6), and point D is at (10, 4). To find point C, we use the concept that the midpoint's coordinates are the average of the coordinates of the endpoints of the segment. That means:
The x-coordinate of C can be found by the equation 6 = (xC + 10) / 2 which leads to xC = 2(6) - 10,
The y-coordinate of C can be found by the equation 6 = (yC + 4) / 2 which leads to yC = 2(6) - 4.
Solving for xC and yC, we find:
xC = 12 - 10 = 2,
yC = 12 - 4 = 8.
Therefore, the coordinates of point C are (2, 8).
33
Ebony is making a scale drawing of her farm. The farm has a circular well with a circumference
of 47 feet. In the drawing, the area of the well will be 0.641 square centimeters.
What scale is Ebony using?
A 1 cm = 0.16 ft
B 1 cm = 2.5 ft
C 1 cm = 5 ft
D 1 cm = 6.25 ft
Answers
Answer:
B
Step-by-step explanation:
Circumference of a circle is:
C = 2πr
Area of a circle is:
A = πr²
The circumference of the well is 47 ft and the area of the well in the drawing is 0.641 cm². If we say r is the radius of the circle on the drawing in centimeters and R is the actual radius of the well in feet, then:
47 = 2πR
0.641 = πr²
Solving for each:
R = 47 / (2π) ≈ 7.48 feet
r = √(0.641 / π) ≈ 0.452 cm
The scale is the ratio of R / r:
R / r = (7.48 ft) / (0.452 cm) = 16.6 ft/cm
So 1 cm = 16.6 ft.
This isn't one of the options. Are you sure you copied the problem correctly?
Maybe you meant that the circumference is 4π feet, and the area is 0.64π cm². If so:
R = 4π / (2π) = 2 feet
r = √(0.64π / π) = 0.8 cm
R / r = (2 feet) / (0.8 cm) = 2.5 ft/cm
So 1 cm = 2.5 ft.
Please help me with question 5
Answers
Answer:
99x +84 ≤ 1,150
Step-by-step explanation:
Her budget is $1,150, this means that the price of all her purchases cannot exceed it. In other words, the sum of all her purchases must be less or equal to 1,150.
To find how many watches she can buy, you need to multiply it by the price of the watches, which is $99, so it will be 99x.
As for the shirts, she spent $84.
So the inequality equation you will need will be the sum of the price of watches and shirts is less than or equal to 1,150.
99x + 84 ≤ 1,150
Which expression is equivalent to (2 1/2 * 2 3/2)2 ?
Answers
For this case we must find an expression equivalent to:
[tex](2 \frac {1} {2} * 2 \frac {3} {2}) ^ 2[/tex]
So, we have:
[tex]2 \frac {1} {2} = \frac {2 * 2 + 1} {2} = \frac {5} {2}\\2 \frac {3} {2} = \frac {2 * 2 + 3} {2} = \frac {7} {2}[/tex]
Rewriting the expression:
[tex](\frac {5} {2} * \frac {7} {2}) ^ 2 =\\(\frac {35} {4}) ^ 2 =\\\frac {35} {4} * \frac {35} {4} =\\\frac {1225} {16} =\\76 \frac {9} {16}[/tex]
Answer:
[tex]76 \frac {9} {16}[/tex]
Find the volume of the solid generated when the region bounded by y= x and y= 4√x is revolved about the x-axis
The volume of the solid is:
(Type an exact answer
cubic units)
Answers
Check the picture below, that enclosed area is pretty much our "washer".
now, to get the outer radius, or "farther" radius from the axis of rotation, what I usually do is, use the f(x) - g(x) to get the area under the curve, using the axis of rotation for g(x).
[tex]\bf \stackrel{\textit{top, f(x)}}{4\sqrt{x}}~~-~~\stackrel{\textit{bottom, g(x)}}{(0)}\implies \stackrel{\textit{farthest radius}}{4\sqrt{x}-0\implies 4\sqrt{x}} \\\\\\ \stackrel{\textit{top, f(x)}}{x}~~-~~\stackrel{\textit{bottom, g(x)}}{(0)}\implies \stackrel{\textit{closest radius}}{x-0\implies x} \\\\[-0.35em] ~\dotfill\\\\ 4\sqrt{x}=x\implies \stackrel{\textit{squaring both sides}}{16x=x^2\implies }16x-x^2=0[/tex]
[tex]\bf x(16-x)=0\implies x= \begin{cases} 0\\ 16 \end{cases}\qquad \qquad \impliedby \textit{these are the bounds} \\\\[-0.35em] ~\dotfill\\\\ \displaystyle\int\limits_{0}^{16}~\pi [(4\sqrt{x})^2-(x)^2]dx\implies \pi \int\limits_{0}^{16}[16x-x^2]dx\implies \pi \int\limits_{0}^{16}16x~~-~~\pi \int\limits_{0}^{16}x^2[/tex]
[tex]\bf \pi \left. 16\cdot \cfrac{x^2}{2} \right]_{0}^{16}-\left. \cfrac{\pi x^3}{3} \right]_{0}^{16}\implies \left. \pi 8x^2 \cfrac{}{}\right]_{0}^{16}-\left. \cfrac{\pi x^3}{3} \right]_{0}^{16} \\\\\\ \left( \pi [2048]-\pi [0] \right)-\left(\left[ \cfrac{4096\pi }{3} \right]-[0] \right)\implies 2048\pi -\cfrac{4096\pi }{3} \implies \cfrac{2048\pi }{3}[/tex]
Is 6 a solution to the equation below. Yes or No?
6x + 4 = 42
Answers
Answer:
no
Step-by-step explanation:
6 times 6 is 36 and 36 plus 4 is 40 not 42
find f (-3) if f(x) = x^2
Answers
Konichiwa~! My name is Zalgo and I am here to help you out today. If f were to equal -3, first we need to put -3 into the equation. It would look like "f(-3)=x^2". The answer to that equation is 9.
I hope that this helps! :T
"Stay Brainly and stay proud!" - Zalgo
Given x = wavelength and y = frequency, solve for the wavelength for the given type of radiation.
y= 3×10^8 m/s /x
Answers
Answer: 1 x 10^27 m
Step-by-step explanation:
A 700 4/7 meter long cloth is cut into equal pieces measuring 1 2/5 meter each how many such small pieces are there?
Answers
Step-by-step explanation:
(700 4/7) ÷ (1 2/5)
Write the fractions in improper form:
(4904/7) ÷ (7/5)
To divide by a fraction, multiply by the reciprocal:
(4904/7) × (5/7)
24520/49
500 20/49
There are 500 pieces.
Answer:
(700 4/7) ÷ (1 2/5)
Write the fractions in improper form:
(4904/7) ÷ (7/5)
To divide by a fraction, multiply by the reciprocal:
(4904/7) × (5/7)
24520/49
500 20/49
There are 500 pieces.
Rewrite the equation below in standard form y=-4x-2
Answers
Answer:
4x + y = - 2
Step-by-step explanation:
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
Given
y = - 4x - 2 ( add 4x to both sides )
4x + y = - 2 ← in standard form
Answer:
4x + y = -2
Step-by-step explanation:
14. Which of the following is the largest?
2^50 3^40 4^30 5^20
2. 3^40
3. 4^30
4. 5^20
1. 2^50
Answers
explanation:
all the other answers either end in 1.217~ or something around that number, while 5^20 is 9.5367431640625x10^13.
Which of the following shows the polynomial below written in descending order
Answers
When it asks for descending order of the polynomial it wants you to put the exponents in order from largest to smallest like so...
C. [tex]x^{12} +3x^{7} + 4x^{3} -9x[/tex]
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
Option C
Step-by-step explanation:
In this question the given polynomial is 4x³ + 3x⁷ - 9x + x¹²
If we rewrite it in the descending order of the powers then the polynomial will be
x¹² + 3x⁷ +4x³ + 9x
This polynomial matches with option C.
Option C is the answer.
What is the sum of 4ft 4 in and 1 ft 11in
Answers
Answer:
6ft 3in
Step-by-step explanation:
4ft + 1ft = 5ft
4in +11in= 15in
15in =1ft and 3in
5ft+ 1ft 3in= 6ft 3in
Ted weighs twice as much as Julie. Mike weighs three times as much as Julie. Together, Ted, Mike, and Julie weigh 210 lbs. What is the weight of each person?
Julie weighs ___ a0 pounds, Ted weighs ___ a1 pounds, and Mike weighs ___ a2 pounds.
Answers
The answer to this question is that Julie weighs 210lbs, Ted weighs 420 (210 multiplied by 2 is 420). Mike weighs 630 (210 multiplied by 3 is 630). So, it would be "Julie weighs 210a0 pounds, Ted weighs 420 a1 pounds, and Mike weighs 630a2 pounds."
I hope this answer helps!
"Stay Brainly and stay proud!" - Zalgo
Answer:
Julie=35 lbs, Ted= 70 lbs, and Mike=105 lbs
Step-by-step explanation:
Julie=x ted=2x mike=3x
The sum of their weight all together is 210 pounds
Combine the x's
6x=210
Divide both sides by 6 to get 1x (Julies weight)
6x/6 = 210/6
1x= 35 (Julie weighs 35 lbs)
35 x 2= 70 ( Ted weighs 70 lbs)
35 x 3= 105 ( Mike weighs 105 lbs)
- Hope this helps!
Mon wants to make 5 lbs of the sugar syrup. How much water and how much sugar does he need to make 1.5% syrup?
Answers
Answer:
He needs 0.075 lbs of sugar and 4.925 lbs of water.
Step-by-step explanation:
Let x lbs be the amount of sugar in the syrup. Then 5-x lbs is the amount of water in this syrup.
Note
5 lbs - 100%
x lbs - 1.5%
Write a proportion:
[tex]\dfrac{5}{x}=\dfrac{100}{1.5}[/tex]
Cross multiply:
[tex]100x=5\cdot 1.5\\ \\100x=7.5\\ \\x=\dfrac{7.5}{100}=0.075[/tex]
So, he needs 0.075 lbs of sugar and 5 - 0.075 = 4.925 lbs of water.
Solve 4x+2=12 for using the change of base formula logby=logy over logb
Answers
Answer:
log₄ 10 = log₁₀ 10 / log₁₀ 4
Step-by-step explanation:
Taking the x to be a power then;
[tex]4^x +2 =12[/tex]
[tex]4^x = 12-2[/tex]
[tex]4^x=10[/tex]
Introduce log on both sides
x log 4= log 10
x= log 10/log 4
log₄ 10 = log₁₀ 10 / log₁₀ 4
Answer: x = log₄(3/4) = -0.207
Step-by-step explanation:
when you have the equation:
n^x = b
whe have that:
Logₙ(b) = x
in this case we have the equation:
4^(x+2) = 12
(4^x)*(4^2) = 12
16*4^x = 12
4^x = 12/16 = 3/4
x = log₄(3/4) = -0.207
Which scatterplots display an example of a cluster ? Check all that apply
Answers
Answer:
1st and 3rd options
Step-by-step explanation:
We have been given three scatter plots. We are asked to choose the plots with cluster.
We know that cluster in a dot plot is formed when many data points lie in a small interval.
We can see that graphs represented by 1st option and 3rd option have many data points in a small interval, therefore, 1st and 3rd options are correct choice.
Answer:
Step-by-step explanation:
what is the period of the function y=2sinx?
Answers
Answer:
C. 2π
Step-by-step explanation:
Given a wave of the equation y= a sin bx where a and b are constants, then the amplitude is a while the period is 360°/b.
360°= 2π radians
For the provided function, the value of b =
Thus period = 2π/1
=2π radians
Answer: 2 Pi
Step-by-step explanation:
PLZ HURRY IT'S URGENT!
Jeff is buying an ice-cream sundae. There are 2 sizes of sundaes, 14 different ice-cream flavors, and 4 different toppings.
How many ways can Jeff choose a sundae?
A.
20
B.
56
C.
32
D.
112
Answers
Jeff can make his choices independently so there are a total of
[tex] 2 \times 14 \times 4[/tex]
different sundaes.
Answer: D. 112
Answer:
D 112
Step-by-step explanation:
Just multiply the number of different ways to choose things to come up with all your possibilities.
That is you just do 2(14)(4)=28(4)=112
Consider a triangle ABC like the one below. Suppose that A = 27°, C = 78°, and b = 66. (The figure is not drawn to scale.) Solve
the triangle.
Round your answers to the nearest tenth.
If there is more than one solution, use the button labeled "or".
Answers
We don't get to see the figure but we don't need it.
The remaining angle B is
B = 180 - 27 - 78 = 75°
The Law of Sines gives the remaining sides
[tex]\dfrac{a}{\sin A} =\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]
[tex]a = \dfrac{b \sin A}{\sin B} = \dfrac{66 \sin 27}{sin 75} \approx 31.0203[/tex]
[tex]c = \dfrac{b \sin C}{\sin B} = \dfrac{66 \sin 78}{sin 75} \approx 66.8350[/tex]
Answer: B=75°, a=31.0, c=66.8
No need for "or" on this one. That happens when we know the sine of an angle so there are two possibilities for the angle, an acute one and an obtuse one that's supplementary.