Answer:
700π m ~ 2199 m
Step-by-step explanation:
diameter = d = 200 m
2 min 20s = 140 s
1 round / 40 s
140 = 40 * 3 + 20
so the athlete will cover 3 round and half
1 round = d * π
covered = c = 3 * 200 * π + 200/2 * π = 700 * π
I NEED HELP WITH THIS QUESTION PLEASE
Step-by-step explanation:
it says f(-4).
so, x = -4.
into what function segment is this "falling" ?
well, into the x < 3 segment, right ? because -4 < 3.
so, we need to use
f(x) = x² - 5
f(-4) = (-4)² - 5 = 16 - 5 = 11
A car used 1/72 of a galloon of gas to drive 1/3 of a mile.At this rate,how many miles can the car travel using 1 galloon of gas?
Answer:
24
Step-by-step explanation:
3 x 1/72 = 1 mile
72/3 = 24
The car will use 1 gallon of gas per 24 miles
a bag contains only red and green counters. in total bag contains 48 counters, of which 20 are red. write, as a ratio, the number of red counters to the number of green counters. give your answering its simplest form.
Total number of Counters = 48
Red Counters = 20
green counters = 48 - 20
⠀⠀⠀⠀⠀⠀⠀⠀⠀= 28 .
Ratio of Red counters to that the number of green counters = 20 : 28
= 20/28
[tex] = \huge \frac{20}{28} [/tex]
The ratio of the number of red counters to the number of green counters will be 5/7.
What is the ratio?The utilization of two or more additional numbers that compares is known as the ratio.
A bag contains only red and green counters. A total bag contains 48 counters, of which 20 are red.
The number of green counters is calculated as,
⇒ 48 - 20
⇒ 28
The ratio of the number of red counters to the number of green counters is calculated as,
Ratio = 20 / 28
Ratio = 5/7
More about the ratio link is given below.
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What is the volume of the following rectangular prism? 4 units 2 1/8 units
the volume of the prism is simply the area of any of the sides times the length, so in this case the shaded area times 4.
[tex]\stackrel{area}{\left( 2\frac{1}{8} \right)}(\stackrel{length}{4})\implies \left( \cfrac{17}{8} \right)(4)\implies \cfrac{17}{2}\implies 8.5~units^3[/tex]
Answer: 8 1/2
Step-by-step explanation: Khan
Solve for the variable
5= 10/t + 3
Answer:
T=5
Step-by-step explanation:
5 -3 = 10/t
2 =10/t
2t = 10
T = 5
[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
Solve for the variable 5=10/t+3.
[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]
When solving an equation, we need to make sure that all variables are on the left-hand side, and all numbers are on the right-hand side.
Since we have numbers on both sides, we need to move all numbers to the right:-
[tex]\bold{5=\dfrac{10}{t} +3}[/tex]
[tex]\bigstar[/tex] Subtract 5 on both sides:-
[tex]\bold{0=\dfrac{10}{t} +3-5}[/tex]
[tex]\bigstar[/tex] On simplification,
[tex]\bold{0=\dfrac{10}{t} -2}[/tex]
[tex]\bigstar[/tex] Now, subtract 10/t on both sides:-
[tex]\bold{-\dfrac{10}{t} =-2}[/tex]
[tex]\bigstar[/tex] On simplification,
[tex]\bold{\dfrac{10}{t} =2}[/tex]
[tex]\bigstar[/tex] Multiply by t on both sides:-
[tex]\bold{10=2t}[/tex]
[tex]\bold{2t=10}[/tex]
[tex]\bigstar[/tex] Divide by 2 on both sides:-
[tex]\bold{t=5}[/tex]
Good luck with your studies.[tex]\rule{300}{2}[/tex]
Une échelle est posée contre un mur et une caisse cubique de 1m de côté La distance entre le bas de l'échelle et la caisse est de 1.40 M calculer si possible la distance entre le haut de l'échelle et le sol
Find the Surface area?
Answer:
768 m²
Step-by-step explanation:
» Concepts
Surface area is the amount of area covered by the surface of an object. In a rectangular prism, the formula to find the TSA (total surface area) is [tex]2(wl+hl+hw)[/tex], where w = width, l = length, and h = height.
» Application
We are asked to find the surface area of a rectangular prism with a width of 14m, a length of 15m, and a height of 6m. Now, we have to apply the aforementioned formula using these measurements.
» Solution
[tex]2(14*15+6*15+6*14)[/tex] [tex]2(210+90+84)[/tex][tex]2(384)[/tex][tex]768[/tex]The two tables give the number of pints of red and blue paint that are used to make different amounts of two shades of purple paint.
Purple #1 is made by mixing red and blue in a ratio of 1 : 2.
Purple #2 is made by mixing red and blue in a ratio of 1 : 3.
Use the drop-down menus to complete each sentence below.
The two highlighted rows show that for the same amount of blue, Purple #1 uses more red than Purple #2.
This means that Purple #1 is a redder shade of purple than Purple #2.
Purple #2 is a bluer shade of purple than Purple #1.
Step-by-step explanation:
The two highlighted rows show that for the same amount of blue, Purple #1 uses more red than Purple #2.
Making blue's quantity as 3 parts for purple #1 implies red part becomes 1.5 to maintain the ratio 1:2
Purple #1 has 1/3 parts red and 2/3 parts blue. Purple #2 has 1/4th part red and 3/4th part blue.
Hence, Purple #1 is a redder shade of purple than Purple #2.
From the above explanation, Purple #2 is a bluer shade of purple than Purple #1.
Sure hopes this helps you :)
//❀ ❀//
Please help me, 65 points to someone who can help me.
Answer:
x = -0.5 , x = -5.5Step-by-step explanation:
Solving
-4x² = 24x + 114x² + 24x + 11 = 04x² + 24x + 36 - 36 + 11 = 0(2x + 6)² - 25 = 0(2x + 6)² = 25⇒ 2x + 6 = ±5Case 1 : x = +5
2x + 6 = 52x = -1x = -1/2x = -0.5Case 2 : x = -5
2x + 6 = -52x = -11x = -11/2 x = -5.5Hi I need help with this one
Answer:
1. ?
2. d
3. g
4. f
5. k
6. ?
7. j
8. l
9. h
10. b
11. ?
12.?
Identify the values of coefficients a, b, and c in the quadratic equation x^2-2x+7=0
Answer:
a= +1
b= -2
c= +7
Step-by-step explanation:
a= coefficient of xX^2 = +1
b= coefficient of X = -2
c = the constant term= +7
Felipe and Samantha use a payment plan to buy musical instruments.felipe writes the equation y=-30x+290 to represent the amount owed y,after x payments.The graph shows how much Samantha owns after each payment Who will pay more each month
An equation is formed of two equal expressions. Felipe is paying $6 more each month.
What is an equation?
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The equation that represents Felipe's payment per month is given as y=-30+290, therefore, the amount that Felipe pays every month is the gradient of the line slope of the equation y=-30+290 which is 30.
Similarly, the graph showing Samantha's payment, the slope will be,
m = (y₂-y₁)/(x₂-x₁) = (240-0)/(0-10) = -24
Thus, we can conclude that Felipe is paying $6(30-24)more each month, because the amount paid by Felipe is 30, while the amount paid by Samantha is 24.
Hence, Felipe is paying $6 more each month.
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tony's friends ate 0.6 of the appetizers he made which point on the number line best represents 0.6?
Answer:whichever # is closest to 0.6 round up to 1 or 60%
Step-by-step explanation:
Answer:
round your answer to 0.6
Step-by-step explanation:
for example 0.58 rounds up to 0.6
What is the exact value of
Answer:
4th option
Step-by-step explanation:
using the addition formula for cosine
cos(a - b) = cosacosb + sinasinb
note that 15° = (45 - 30)° , then
cos15°
= cos(45 - 30)°
= cos45°cos30° + sin45°sin30°
= ( [tex]\frac{\sqrt{2} }{2}[/tex] × [tex]\frac{\sqrt{3} }{2}[/tex] ) + ( [tex]\frac{\sqrt{2} }{2}[/tex] × [tex]\frac{1}{2}[/tex] )
= [tex]\frac{\sqrt{6} }{4}[/tex] + [tex]\frac{\sqrt{2} }{4}[/tex]
= [tex]\frac{\sqrt{6}+\sqrt{2} }{4}[/tex]
= [tex]\frac{\sqrt{2}+\sqrt{6} }{4}[/tex]
Answer:
[tex]\cos 15^{\circ}= \dfrac{\sqrt{2}+\sqrt{6}}{4}[/tex]
Step-by-step explanation:
Trig Identity:
[tex]\cos (A-B)=\cos A \cos B + \sin A \sin B[/tex]
[tex]\begin{aligned}\implies \cos 15^{\circ}=\cos (45^{\circ}-30^{\circ}) & =\cos 45^{\circ} \cos 30^{\circ} + \sin 45^{\circ} \sin 30^{\circ}\\\\& = \dfrac{\sqrt{2}}{2} \cdot \dfrac{\sqrt{3}}{2} + \dfrac{\sqrt{2}}{2} \cdot \dfrac{1}{2}\\\\& = \dfrac{\sqrt{2}\sqrt{3}}{2 \cdot 2}+\dfrac{\sqrt{2} \cdot 1}{2 \cdot 2}\\\\& = \dfrac{\sqrt{2\cdot 3}}{4}+\dfrac{\sqrt{2}}{4}\\\\& = \dfrac{\sqrt{6}+\sqrt{2}}{4}\\\\& = \dfrac{\sqrt{2}+\sqrt{6}}{4}\end{aligned}[/tex]
Find the quotient of 213.21 and 15.8. Round your answer to the nearest tenth.
Answer:
13.5
Step-by-step explanation:
213.21÷15.8= 13.494
Rounded : 13.5
Troy prepared 10 kilograms of dough after working 2 hours. How many hours did Troy work if
he prepared 25 kilograms of dough? Solve using unit rates.
Answer:
he worked 5 hours ..........
Answer:
5 hours
Step-by-step explanation:
to find unit rate:
10/2 which is 5
so 5 kg per hour
find for 25 kg:
25/5 which is 5.
so 5 hours.
An art teacher buys 128 boxes of markers. Each box holds 16 markers. How many total markers does the art teacher buy?
Answer:
2048 markers
Step-by-step explanation:
One box has 16 markers and the teacher buys 128 boxes, then total would be
128 boxes x (16 markers / 1 box) = 2048 markers
The cycle of a traffic light at an intersection of two streets is 50 seconds green, 6 seconds yellow, and 14 seconds red. If you reach the intersection at a random time, what is the probability that the light is red?
Answer:
the probability that the light is red would be 5 or 5%
Step-by-step explanation:
if we add all of the possible outcomes together like so :
50+6+14 we will get 70
now we know we want to find out the probabilty of it being red we need to divide 70 by 14 and we get 5 or 5% your welcome and me as a freind if you need more help or add me on messenger the 1 carlos is my name
The side lengths of a triangle are 5,3, and 4. Is this a right triangle?
Answer:
YES
Step-by-step explanation:
as 5,3 and 4 are Pythagorean triplets, with 5 being C/the hypothenuse it would work as a right angled triangle.
3^2+4^2=c^2
9+16=c^2
25=c^2 c=5
Hey circle has a diameter of 20.41 feet which measurement is closest to the circumference of a circle in feet?
Answer:
64.0874 or 20.41pi
Step-by-step explanation:
circumference = diameter x pi
C = D x pi
C = 20.41pi(lets say pi is 3.14)
C = 64.0874
Sarai has to read 120 pages over the next 6 days and wants to read the same number of pages each day. Which inequality will help her know at least how many pages to read each day
Answer:
1st one 6x is greater than or equal to 120
Step-by-step explanation:
because it sys she needs to read 120 so it cant be 6x is less than or equal to 120
A rectangle has an area of 243 square centimeters. Its length is 3 times its width. What are the dimensions of the rectangle?
Length - 27 cm
Width - 9 cm
Step-by-step explanation:Here we go (hope this helps),
The area of the rectangle is 243. To get area, you do length x width. Your equation will look like this
3x (x) = 243
Simplify this using PEMDAS
3x^2 = 243
Next, you divide both sides by 3 to undo the times 3
x^2 = 81
Then, you take the square root of both sides to undo the squared symbol
x=9
Using this, you know the width is 9. Since the length is 3x the width, you know that 3 x 9 is 27 and you can clearly see that the dimensions are 9 and 27!
Have a great day! Hope this could help!3. Figure CDEF is a parallelogram. Find the length of each side.
Answer:
de=30,fc=30,cd=22
Step-by-step explanation:
so r =5
6*5=30
10*5-20=30
2*5+12=22
so the only left is fe so cd=fe
fe=22
If I have number that is prefixed, such as [tex]5[/tex] x [tex]10^{+5}[/tex]meters... will I prefix it to be 5Mm (mega meters) ???
Answer:
No.
Step-by-step explanation:
One megameter is [tex]10^6[/tex] meters. What you have shown is [tex]10^5.[/tex]
Claudia is making a candle by pouring melted wax into a mold in the shape of a cylinder. The radius of the cylinder’s base is 4 cm, and the height of the cylinder is 9 cm. To get the wax for the candle, Claudia melts cubes of wax that are each 3 cm by 3 cm by 3 cm. How many of the wax cubes will Claudia need to purchase to make the candle? (Note that Claudia is not able to purchase partial cubes). Show all your work.
17 wax cubes with volume of 27 cm³ each would be needed to make the candle with a volume of 452.16 cm³
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Volume of cylinder = π * radius² * height
Volume = π * 4² * 9 cm = 452.16 cm³
Volume of the cube = 3 cm * 3 cm * 3 cm = 27 cm³
Number of cubes needed = 452.16 cm³ / 27 cm³ = 16.75
17 wax cubes with volume of 27 cm³ each would be needed to make the candle with a volume of 452.16 cm³
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What is the following sum?
If these equation.
[tex]4\left(\sqrt[5]{x^2 y} \right) +3 \left( \sqrt[5]{x^2 y} \right)\\\\=(4+3) \left( \sqrt[5]{x^2 y} \right)\\\\=7 \left( \sqrt[5]{x^2 y} \right)[/tex]
[tex]7(\sqrt[ 5 ]{ { x }^{ 2 } y })[/tex]
Step-by-step explanation:The equation:
[tex]4 \sqrt[ 5 ]{ { x }^{ 2 } y } +3 \sqrt[ 5 ]{ { x }^{ 2 } y } [/tex]
1) Collect like terms by adding their coefficients ( [tex]3[/tex] and [tex]4[/tex])
[tex](3+4)\sqrt[ 5 ]{ { x }^{ 2 } y }[/tex]
2) Calculate
[tex]7(\sqrt[ 5 ]{ { x }^{ 2 } y })[/tex]
Use the following bond listing for Pacific Bell to answer the following:
Bonds
Cur. Yld. Vol Close
Net.Chg.
5 6.55
5.
1
1
PacBell 6- 34
99-
8
4 8
+一
How many bonds were traded during this session?
a.
34
b. 6.55
C. 5
d. 1
997
Answer:
D- 99 1/4 ; $992.50
Step-by-step explanation:
you use the list of bonds to eventually get D- 99 1/4
The system of equations shown below is graphed on a coordinate grid:
3y + x = 6
2y − x = 9
Which statement is true about the coordinates of the point that is the solution to the system of equations? (5 points)
Hint: Add the two equations and use inverse operations. When you have your y-value, plug it into any of the original equations to find your x-value.
a
It is (−6, 4) and lies on both lines.
b
It is (−3, 3) and lies on both lines.
1. Joshua has a ladder that is 12 ft long. He wants to lean the ladder against a vertical wall so that the top of the ladder is 11.8 ft above the ground. For safety reasons, he wants the angle the ladder makes with the ground to be no greater than . Will the ladder be safe at this height? Show your work and draw a diagram to support your answer. (what do I type out or draw out)
Answer:
So we'll use trig to solve this because it's a right triangle. The hypotenuse is the ladder (h) and the two smaller sides are the ground and the vertical wall (w).
That angle ladder makes with the ground = €
SOH: sin € = opposite/hypotenuse
No the ladder won't be safe!!!
Now let's make it safe:
The ladder's length (w) is constant, so stays 12
So now let's ask in an inequality what height will be safe (75° or less)
what does that mean?? well as long as you put the ladder against the wall so that the height from ground to top of the ladder is < 11.6 ft!!
Please help 30 mins left
Using the dotplot and the difference in mean distances
from the samples, is there convincing evidence that
the new golf ball travels farther than the original golf
ball?
A company that manufactures golf balls produces a
new type of ball that is supposed to travel significantly
farther than the company's previous golf ball. To
determine this, 40 new-style golf balls and 40 original-
style golf balls are randomly selected from the
company's production line on a specific day. A golf pro
randomly selects a ball, not knowing which type is
chosen, and hits it. The difference in mean distances
traveled (new - original) for the samples was 4.9 feet
Assuming there is no difference in distance traveled
between the two types of golf balls, 200 simulated
differences in sample means are displayed in the
dotplot
Simulated Differences in
Mean Distances of Golf Balls
Yes, because a difference in mean distances of 4.9
feet or more occurred only 6 out of 200 times
meaning the difference is statistically significant and
there is convincing evidence the new golf ball
travels farther than the original golf ball.
Yes, because a difference in mean distances of 4.9
feet or less occurred 194 out of 200 times, meaning
the difference is statistically significant and there is
convincing evidence the new golf ball travels farther
than the original golf ball.
O No, because a difference in mean distances of 4.9
feet or more occurred 6 out of 200 times meaning
|
Answer: A. Yes, because a difference in mean distances of 4.9 feet or more occurred only 6 out of 200 times, meaning the difference is statistically significant and there is convincing evidence the new golf ball travels farther than the original golf ball.
Step-by-step explanation: took the test (look at the graph as well)
