Answer:
V = 1469.52 cm^3
Step-by-step explanation:
cylinder volume = base area * height
= ( pi * R^2) * h
= pi * 6^2 * 13 = 1469.52 cm^3 (ANS)
Perform the following operation:
h(n) = 4n + 5
g(n) = 3n +4
Find (h - g)(n)
Answer:
n+1
Step-by-step explanation:
h(n) = 4n + 5
g(n) = 3n +4
(h - g)(n) = 4n + 5 - (3n +4 )
distribute the minus sign
= 4n +5 - 3n -4
Combine like terms
= 4n -3n +5-4
= n +1
Julio is doing an experiment in science class where he tests how high a ball bounces when it is dropped from 1 meter.
He tests several balls made of different materials and records the results. The results are shown below.
85 cm, 83 cm, 57 cm, 89 cm, 62 cm, 68 cm, 91 cm, 22 cm, 28 cm, 58 cm, 37 cm, 41 cm, 36 cm, 59 cm, 88 cm, 54 cm, 76 cm, 90 cm
Use the drop-down menus to explain how to choose the intervals for a frequency table to represent the data.
The data values have a spread of centimeters. Intervals with a range of centimeters are reasonable.
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Answer: The data values have a range of 70 centimeters. Intervals with a range of 10-20 centimeters should be reasonable.
Answer:
it might be
69
10-20
Segment Line segment X Y is dilated using a scale factor of Two-thirds through P. Which segment shows the correct result of the dilation?
Answer:
We need the segments but which ever one has the segment that is 2/3 times the length of segments xy
Step-by-step explanation:
Answer: line c
Step-by-step explanation: I got it correct
What dose rotations mean in math
Answer:
A rotation is a transformation that turns a figure about a fixed point called the center of rotation. • An object and its rotation are the same shape and size, but the figures may be turned in different directions. • Rotations may be clockwise or counterclockwise.
Step-by-step explanation:
Answer:it means the movitem of a figure to somewhere else
Step-by-step explanation:
i dont know how to do this if someone could show me how and what the answer is
Answer:
It is A because due to the slope it is a parallelogram.
Step-by-step explanation:
Answer:
its a
Step-by-step explanation:
A rectangular aquarium that is 3 inches wide, 9 inches long and 12 inches tall. If water is filled up to 9 inches, how much more water can be put in the aquarium to make it full
Answer:
81 inches^3
Step-by-step explanation:
The empty space at the top is
3 inches wide by 9 inches long by (12-9) inches tall
3*9*3 = 81 inches^3
bag of potatoes weighs 10 pounds what is the weight of the potatoes on ounce
Answer:
The potato is a root vegetable native to the Americas, a starchy tuber of the plant Solanum tuberosum, and the plant itself, a perennial in the family Solanaceae. Wild potato species, originating in modern day Peru, can be found throughout the Americas, from the United States to southern Chile.
Step-by-step explanation:
Answer:
160 ounces
Step-by-step explanation:
Your macaroni and cheese recipe calls for 1 2/3 cups of milk. You're having company and you need to quadruple the recipe. How much milk will you need?
Answer:
4 2/3
Step-by-step explanation:
For the quadrupled recipe, you will need 6 2/3 cups of milk.
Here, we have,
To quadruple the macaroni and cheese recipe,
we need to multiply the original recipe measurements by 4.
The original recipe calls for 1 2/3 cups of milk.
To find out how much milk is needed for the quadrupled recipe, we can multiply 1 2/3 by 4:
1 2/3 * 4
= (5/3) * 4
= 20/3
= 6 2/3
Therefore, for the quadrupled recipe, you will need 6 2/3 cups of milk.
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Solve the long division
Answer:
1. 158
2. 120.125
3. 148.6
4. 158.6
Step-by-step explanation:
You divide the number inside by the number outside
Find the Area of the Triangle. A = 1/2 (b x h)
Answer:
A=1/2(b×h)
divide a half by 12=6
6×4,since 4 is the height=24
Answer:
30 um²
Step-by-step explanation:
BC = √5² - 4²
= √25 - 16
= √9
= 3 um
AC = 12 + 3 = 15 um
A = AC×BD/2
= 15×4/2
= 15×2
= 30 um²
What is the y- intercept of the graph shown that is below
Answer:
B
Step-by-step explanation:
The y- intercept is the point on the y- axis where the line crosses it
This point is y = 2
with coordinates (0, 2 ) → B
The line is crossing the y axis at (0,2)
What is intercept ?The x - intercept is where a line crosses the axis and the y intercept is the point where the line crosses the y - axis .
observing the graph it can be concluded that ,
The line is crossing the y axis where x = 0 and y = 2 , so the point is (0,2)
correct answer is c) (0,2)
Learn more about intercept
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At Subway sandwiches, how many different sandwiches can I make from 3 different types of bread, 5 different types of cheese, and 4 different types of meat?
Answer:
60 sandwiches
Step-by-step explanation:
In this case we must know that for each type of bread, it can be combined with each type of cheese and each type of meat, that is to say that the total amount of combinations would be, the amount of types of bread, for the amount of types of cheese for the amount of types of meat, that is to say:
3*5*4 = 60
That means there are a total of 60 ways to make different sandwiches
Find the area of the triangle below.
Be sure to include the correct unit in your answer.
Answer:
66 ft^2
Step-by-step explanation:
the formula for the area of a triangle is b x h over 2. the base is 22 and the height is 6. 22 x 6=132. 132/2=66
Which of the following is equal to C(10, 3)?
C(3, 10)
C(10, 7)
P(10, 3)
Answer:
P
Step-by-step explanation:
C and P are both (10,3).
Presumably C(10,3) refers to the combinations of 10 things taken three at a time, often written
[tex]\displaystyle {10 \choose 3}[/tex]
When we choose three of 10, we're actually also choosing seven of 10, the leftovers. So there are the same number of combinations of three as combinations of seven. In general
[tex]\displaystyle {n \choose k}={n \choose n-k}[/tex]
Answer: C(10,7)
Robert works at a car dealership. Each month, he receives a base salary of $1,854.00, plus a commission of $478.00 for each vehicle he sells. Which of the following equations could be used to determine Robert's total income each month? (Let x represent the number of cars sold by Robert and y represent his total monthly income.)
Answer:
y = 478x + 1,854
Step-by-step explanation:
Which shape is not necessarily a parallelogram?
A) quadrilateral
B) rectangle
C) rhombus
D) square
Answer:
A) Quadrilaterals
Step-by-step explanation:
All squares, rectangles, and rhombuses are parallelograms because their sides are parallel. However, quadrilaterals have four sides, but not all will be parallel.
Cuáles de los siguientes experimentos son aleatorios. a) Número de personas que suben a un autobús en una parada. b) Aplicar el teorema de Pitágoras en un triángulo rectángulo. c) Conocer el ganador de la Liga de Campeones. D) Calcular la raíz cuadrada de un número.
Answer:
a) Número de personas que suben a un autobús en una parada.c) Conocer el ganador de la Liga de Campeones.Step-by-step explanation:
This problem is about random experiments.
Random experiments are defined as experiments where the outcome can't be predicted. To ensure that result, the subjects are selected randomly. So, in this case, the right answer must be a situation where subjects are randomly present.
People taking the bus is a random experiment, because there's no the exact subjects in a bus at any time, it happens randomly.
Also, the winner of a sport league is also a random experiment, because it happens after several games which cannot be predicted.
Therefore, the right answers are a and c.
The reciprocal of the cosine is the ___.
A. secant
B. tangent
C. sine
D. cotangent
Answer:
The correct answer is A
Step-by-step explanation:
The secant is the distance from the center to the vertical tangent in a certain direction.
Answer:
A. secant
Step-by-step explanation:
For trigonometric ratios, we know that cosine is [tex]\frac{adjacent}{hypotenuse}[/tex]. The reciprocal of something is just flipped over. So the reciprocal of cosine is [tex]\frac{hypotenuse}{adjacent}[/tex], which is the ratio for secant.
Another way we can remember this is [tex]sec x = \frac{1}{cos x} \\\\cos x = \frac{1}{sec x}[/tex]
Use sigma notation to represent the following series for the first 10 terms.
3 + (-6) + 12 + (-24) + ⋯
Answer:
The sum of 10 terms is S₁₀ = -1023
Step-by-step explanation:
Explanation:-
Given series
3 + (-6) + 12 + (-24) + ⋯
This is geometric sequence 3 , -6 ,12 , -24 ,....
a = 3 and common ratio [tex]r = \frac{-6}{3} = -2[/tex]
Given ratio r = -2 < 1
Sum of 'n' terms of a G.P
[tex]S_{n} = \frac{a(1-r^{n} ) }{1-r} if r <1[/tex]
Sum of '10' terms of a G.P
[tex]S_{10} = \frac{3((1-(-2 )^{10} }{1-(-2)}[/tex]
[tex]S_{10} = \frac{3((1-(-2 )^{10} }{3} = 1-2^{10} = 1- 1024 = - 1023[/tex]
Conclusion:-
Sum of '10' terms of a G.P = - 1023
Verification:-
The series of first 10 terms
3+(-6)+12+(-24)+48+(-96)+192+(-384)+768+(-1536) = -1023
Story: The Escalator Ratio Task: Ty took the escalator to the second floor. The escalator is 12 meters long, and he rode the escalator for 30 seconds. (Things to consider: 60 seconds = 1 minute; 60 minutes = 1 hour; 24 hours = 1 day). Question: True or False? He traveled 2 meters ever 5 seconds. Answer T or F and tell (or show) how you know you are correct.
Answer: True
Step-by-step explanation:
YES, HE TRAVELLED 2 METRES EVERY 5 SECONDS
PROOF:
TOTAL RIDE TIME = 30 SECONDS
Length of elevator = 12 METRES
Distance moved per second can be calculated by = (length of elevator / total ride time)
( 12 METRES / 30 seconds) = 0.4 metres per second
Therefore, distance covered in 5 seconds :
0.4 × 5 = 2 metres.
Hence, the proof
He traveled 2 meters ever 5 seconds
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Answer:
20 cents per unit
Step-by-step explanation:
Since it is 1$ 5 pencils and 100/5=20, the unit cost is 20 cents
Answer:
the unit price is $0.20 for 1 pencil
Step-by-step explanation:
if u see 5 pencils cost 1 dollars and unit price means the value of one item, so like the cost of 1 pencil
write it as a ration of cost to pencil
the ratio is 1/5
now divided 5 on the top and the bottom to get the unit price
1 divided by 5= 0.2
so now the ratio is 0.2/1
A square has a triangular hole in it. What is the area of the figure?
12 in
6 in.
4 in.
12 in
168 in 2
144 in 2
120 in 2
132 in 2
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Rachel works at a bookstore. On Tuesday, she sold twice as many books as she did on Monday. On Wednesday, she sold 6 fewer books than she did on Tuesday. During the three days Rachel sold 19 books. Create an equation that can be used to find m, the number of books Rachel sold on Monday.
Equation:
plz make the answer in this format: x - y = z ( a number minus a number equals a number) thank you so much guys!!
Answer:
5m - 6 = 19Step-by-step explanation:
We are given:Monday x 2 = Tuesday
Tuesday - 6 = Wednesday
Lets say
Monday = m
Tuesday = t
Wednesday = w
m = m
2m = t
2m - 6 = w
Combine like terms: 5m - 6 = 19
Add 6 to both sides
5m = 25
Divide both sides by 5
m = 5
Plug it in the equations.
Monday = 5
Tuesday = 10
Wednesday = 4
Answer:
5x - 6 = 19
Step-by-step explanation:
area of isosceles triangle
Answer:
You find the base and height then divide by 2
Step-by-step explanation:
Answer:
height x 2 divided by 1/2
Step-by-step explanation:
Complete the point-slope equation of the line through (-1,6) and (1,5)
Answer:
y − y1 = m(x − x1)
m = (y2-y1) / (x2-x1) = (5 - 6) / (1 - (-1)) = -1 /2
y - 6 = -1/2 (x - (-1))
y - 6 = -1/2 (x + 1)
y - 6 = -1/2x - 1/2
Step-by-step explanation:
in a certain algebra class of 26 students, 16 of them play basketball and 9 of them play baseball. there are 5 students who play both sports. what is the probability that a student chosen randomly plays basketball or baseball
Answer:
3/26 students or 11%
Step-by-step explanation:
Answer:
8/9
Step-by-step explanation:
24/27 = 8/9
A six-sided die with sides labeled 1 through 6 will be rolled once. Each number is equally likely to be rolled.
What is the probability of rolling a number less than 5?
Write your answer as a fraction in simplest form.
Answer & Step-by-step explanation:
On a six-sided die, there are 4 numbers less than 5. So, we can write this as a fraction.
[tex]\frac{4}{6}[/tex] or we can write this fraction as [tex]\frac{2}{3}[/tex]
So, the probability of rolling a number less than 5 is [tex]\frac{2}{3}[/tex]
Calcula la altura de Juan sabiendo que proyecta una sombra de 2 metros en el momento en que Pedro que mide 1,80 metros proyecta una sombra de 2,25 metros.
Answer:
La altura de Juan por lo tanto es de 1.6 metros de altura
Step-by-step explanation:
Segun los datos que se encuentran en el ejercicio, tenemos lo siguiente:
Juan proyecta una sombra de 2 metros en el momento en que Pedro que mide 1,80.
Supongamos que x es la altura de juan que tenemos que calcular.
La altura de Juan por lo tanto la podemos calcular de la siguiente manera con la siguiente formula:
x= (1.8 metros/2.25 metros)*2
x=1.6 metros
La altura de Juan por lo tanto es de 1.6 metros de altura
Sunglass shack is having a 30% off sale on sunglasses. Ann paid $32 for a pair of sunglasses. What was the original price?
Answer:
about $45.71
Step-by-step explanation
32/70%
32 x 100/70
32 x 10/7
320/7
$45.71
The original price would be $41.6.
another 1 will give crown to the correct answer
Answer:
4, know that in a slope-intercept form the coefficient of x is the slope.
Step-by-step explanation:
Answer:
Slope is 4
Step-by-step explanation: