Answer:
Anna is 43 years old and Jacob is 41 years old
Step-by-step explanation:
x + 1 + x + 3 = 92
2x + 4 = 92
2x = 92 - 4
2x = 84
x = 41
Answer:
Anna is 43 years old and Jacob is 41 years old
Step-by-step explanation:
What is the value of m(7+9)n m ( 7 + 9 ) n , when m = 0.5 and n = 2?
Answer:
32
Step-by-step explanation
0.5 x 16=8
8x2=16
0.5x16=8
8x2=16
16+16=32
Cole is building a model rocket in science class. He selects the rocket parts from a set of solid cylinders and cones made from metal. Cole wants to build a rocket with the dimensions shown. For safety purposes, the maximum lift-off weight of each rocket is 10 pounds. Will Cole’s rocket meet the requirement for launch?
Part A
What will be the total length of the assembled rocket? Explain how you found your answer.
Part B
What is the approximate volume of the rocket. Use 3.14 for π. Explain.
Part C
If Cole’s rocket parts are made of aluminum weighing 0.006 pound per cubic centimeter, will Cole be able to launch his rocket? Explain.
A.
30 since 25 + 5 = 30
The maximum lift-off weight of each rocket is 10 pounds thus, Cole’s rocket doesn't meet the requirement for launch.
What is the volume of a cylinder?The volume of the cylinder is the product of the height, pie, and square of the radius.
The volume of the cylinder = [tex]\pi r^{2} h[/tex]
Part A
The total length of the assembled rocket will be the length of the cone and the cylinder.
Height of the cone
[tex]\sqrt{l^{2} -r^{2} } \\\\\sqrt{5^{2} -4^{2} } \\[/tex] = 3 cm
The total length of the assembled rocket = 25 + 3 = 28cm
Part B
The volume of the rocket is the combined volume of the cone and cylinder.
= [tex]\pi r^{2} h[/tex] + 1/3[tex]\pi r^{2} h[/tex]
= 4/3 [tex]\pi r^{2} h[/tex]
= 4/3 × 3.14 × 16 × 28
= 1875.62 cubic cm
To convert cm into pound
1875.62 cubic cm = 4.135 pound
Part C
If Cole’s rocket parts are made of aluminum weighing 0.006 pounds per cubic centimeter.
Then 1875.62 cubic cm × 0.006
= 11.253
For safety purposes, the maximum lift-off weight of each rocket is 10 pounds. but Cole’s rocket doesn't meet the requirement for launch.
Learn more about volume;
https://brainly.com/question/1578538
PLEASE HELP
Ten rabbits are put in an enclosed wildlife ranch and the rabbit population triples each year, as shown in the table.
Year Rabbit Population
0 10
1 30
2 90
3 270
4 810
5 2,430
Complete each of the 2 activities for this Task.
Activity 1 of 2
Write an equation where y represents the number of rabbits in x years.
Activity 2 of 2
A second population of 10 rabbits is placed in a second enclosed wildlife ranch and doubles each year.
Select all statements that are TRUE when comparing the equation of the second group of rabbits to the first group.
A.
The base of the exponent will change from 3 to 2.
B.
The function will become quadratic.
C.
The y-intercept will change.
D.
The second population will increase less rapidly.
Answer:
C
Step-by-step explanation:
First, we have to find the equation that will give the rabbit population as a function of time and the initial population.
The equation we need turns out to be Population = a0 x 3y where a0 is the initial population and y is the number of years,
To find the rabbit population when a0 = 30 and y =3, use the equation to get Population = 30 x 33 = 810.
You can now find the difference in the number of rabbits at year 3 for the different starting populations.
Consider the table of values for functions f(x) and g(x).
x f(x) g(x)
−2 −32 125
−1 −1 15
0 0 1
1 1 5
2 32 25
3 243 125
4 1024 625
Which statements are most likely true based on the given values?
Select each correct answer.
f(x) is a polynomial function.
f(x) is an exponential function.
g(x) is a polynomial function.
g(x) is an exponential function.
The output values of f(x) will remain greater than those of g(x) as the input values continue to increase.
The output values of g(x) will surpass those of f(x) as the input values continue to increase.
Answer:
D.
Step-by-step explanation:
At x = 2 the 2 rates of change are equal.
i think plz tellme if i am right or wrong if i am wrong i am very sorry
Answer: f(x) is polynomial., g(x) is exponential., The output values of g(x) will surpass those of f(x) as the input values continue to increase.
Step-by-step explanation: I took the test. Hope it helps:)
If m∠1 = 123°, find m∠3:
Answer:
123 degrees
Step-by-step explanation:
angle 1 is equal to angle 3, it is 123 degrees
Answer:
m∠3 = the same as m∠1, so, m∠3 = 123 degrese
Step-by-step explanation:
An automobile factory has a reputation for assembling high-quality cars. However, several new cars were shipped out to dealers that had a problem with the brakes. It is estimated that approximately 10% of the cars assembled at this factory have defective brakes. Five of these cars are shipped to a dealership near your school. What is the probability that none of the 5 cars will have defective brakes? Should the dealership be concerned? Explain.
Answer:
The dealership should be concerned because the probability is over 25%
Sara and Shareable are baking cherry pies for a community dinner. Each pie requires 4 cups of cherries. A container of cherries holds 8 cups How many containers of cherries will the girl need to make 10 pies?
(SHOW HOW YOU GOT THE ANSWER)
Answer:5 containers
1 pie = 4 cups
8/4= 2 pies per container
10/2= 5
Step-by-step explanation:
what is this math answer
Answer:
[tex]n = 8[/tex]
Step-by-step explanation:
[tex] \frac{n}{4} + 15 = 17[/tex][tex] \frac{n}{4} = 7 - 5[/tex][tex] \frac{n}{4} = 2[/tex][tex]n = 4 \times 2[/tex][tex]n = 8[/tex]Hope it is helpful....What is the probability of rolling a 1 or 2 when a six-sided die is rolled 700 times. Round your answer to the nearest whole number.
Answer: B. 233 (rounded)
Step-by-step explanation:
1: 700/6= 166.6
2: 166.6+166.6=233.332
3 round to 233
The function, t(x), is shown in the table below: WNOX t(x) 1 3 9 27 64 21 4 Determine the type of function t(x) is and match to the correct explanation. exponential, because the outputs are increasing by a common ratio linear, because the output values have a constant rate of change quadratic, because as the inputs increase, the outputs decrease to zero and will begin to increase
Answer:
multyplying
Step-by-step explanation:
Consider the following set of equations: Equation A: y = –x + 5 Equation B: y = 6x – 2 Which of the following is a step that can be used to find the solution to the set of equations?
answer choices
–x = 6x + 2
–x – 2 = 6x + 5
–x + 5 = 6x - 2
–x + 5 = 5x
Answer:
–x + 5 = 5x
Step-by-step explanation:
Equation A: y = –x + 5 Equation B: y = 6x – 2
Answer:
Step-by-step explanation:
y = -x + 5
y = 6x - 2
-x + 5 = 6x -2
option 3
Could someone please help me? Will give a scobby snack!
A motorcycle ramp has a base that is 10 feet long and a height of 15 feet. What is the area of the triangular ramp?
Answer:
25ft
Step-by-step explanation:
Answer: 75^2ft
Step-by-step explanation:
Triangle
Solve for area
A=75ft²
A movie theater owner made this box plot to represent attendance at the matinee movie last month.
Without seeing the values, what conclusions can you make about whether attendance was mostly high or low at the matinee movie last month?
1. Kyle went to the state fair and rode the Ferris wheel. The graph represents the last 40 seconds of Kyle's Ferris wheel ride. On which interval is the function increasing?
A) 44 to 48 seconds B) 48 to 52 seconds C) 52 to 56 seconds D) 70 to 72 seconds
On which interval is the function decreasing?
A) 40 to 44 seconds B) 56 to 60 seconds C) 64 to 66 seconds D) 72 to 76 seconds
PLEASE HELP I'LL GIVE BRANLIEST TO WHOEVERS RIGHT
Answer:
The interval which the function is increasing would be B) 48-52 seconds while the interval the function is decreasing would be C) 64-66 seconds
Explanation:
I don't know for sure tho ... nah I'm jus playin , I'm valid
Mary has $600 in her savings account. She withdrew $120 from an ATM and she used her debit card to buy a present for her mom that cost $50. Which integer represents the change to Mary’s account balance that is shown on her statement when she made the withdrawal from the ATM?
a) $ 430
b) - $ 170
c) - $50
d) - $120
Answer: D
Step-by-step explanation:
Just showing what she did to the account at the ATM withdrawal, she took out $120. It wouldn't show the 50 from using her debit at the time of using the ATM, and she's removing money from the account so it'd be D.
What is the volume of the carton?
Geometry
Step-by-step explanation:
V= 1/2 * 2 * 7 * 1,5
V=10,50 in.
A rectangular prism has a volume of 768 cubic Inches. The area of the base of the rectangular prism is 48 square inches. What is the height of the rectangular prism?
Answer:
16 inches
Step-by-step explanation:
Volume = b x h
768 = 48 x h
768 ÷ 48 = h
16 = h
Have a great day!
What sequence of transformations, when applied to △ABC , shows that △ABC is similar to △ A ′ B ′ C ′ ? dilation with respect to the origin by a scale factor of 2 followed by a translation of 2 units left dilation with respect to the origin by a scale factor of 1 2 followed by a translation of 2 units right translation of 2 units right followed by a dilation with respect to the origin by a scale factor of 1 2 translation of 2 units left followed by a dilation with respect to the origin by a scale factor of 1 2
Answer:
The correct sequence of transformations that shows that △ABC is similar to △A′B′C′ is:
translation of 2 units left followed by a dilation with respect to the origin by a scale factor of 12.
Step-by-step explanation:
A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object.
In this case, we can see that a dilation with respect to the origin by a scale factor of 12 would stretch or shrink the triangle, but would not change the angles.
Therefore, we need to apply a translation first to move the triangle into the correct position.
So, we first translate the triangle 2 units left, which does not change its shape or size, but moves it to a position where it can be more easily compared to the other triangle.
Then, we apply a dilation with respect to the origin by a scale factor of 12, which stretches or shrinks the triangle but does not change its shape.
There are 24 female performers in a dance recital. The ratio of men to women is 2:3. How many men are in the dance recital?
please help I'm terrible at this stuff
What does the algebraic representation ( x,y) > ( x - 1, y - 2) represent?
the answers are in the picture
Plz answer :) will be marked BRAINLIEST!
Answer:
65 mph
Step-by-step explanation:
To find the unit rate (miles per hour), we can use the equation
[tex]r=\frac{d}{t}[/tex]
Where
r=rate (miles per hour)
d=distance (in miles)
t=time (in hours)
Using the given information, we can plug in
[tex]d=97\frac{1}{2}[/tex]
[tex]t=\frac{3}{2}[/tex]
So, our equation is
[tex]r=\frac{97.5}{1.5}[/tex]
When we divide 97.5 and 1.5, we get
[tex]65[/tex]
So,
[tex]r=65[/tex]
In conclusion, the rate (miles per hour) is 65 mph.
Please help I dont understand
Answer:
A. both coordinates are positive.
Step-by-step explanation:
I'm attaching a picture. The lower right quadrant/quarter is where x is positive and y is negative. When you "reflect over the y axis" it's mirroring the position by flipping it above the y axis.
In my picture, I used the example of a filled in dot in the lower right quadrant at +2 x, and -2 y. Right above that, in the upper right quadrant, there's an unfilled circle at +2 x, and +2 y. The second point is the first after being "reflected over the y axis." X stays the same, but the y goes from negative to positive.
I hope this helps. Please ask me if it's still confusing.
This is my last one. Everyone have a good day or night thank you :)
Answer:
See Below For Details
Step-by-step explanation:
1) 5.5 (11/2)
2) -0.5 (-1/2)
3) -2.35 (47/20)
Hope you do well!! :)
i need help pls with this
Answer:
when you solve a one step equation that is when you have to figure out what to do on the 2 step equations like the 1 step equations!
Step-by-step explanation:
i hope this helps?!
if Gordon types 2,170 words in 31 minutes. what is the unit rate?
Answer:
76.8 words per minute
Step-by-step explanation:
Answer:76.8 words per minute
Step-by-step explanation:
ANSWER PLS.............................
Answer:
b
Step-by-step explanation:
Answer:
y = x + 2
Step-by-step explanation:
The equation for any line is y = mx + b
m is the slope ( rise over run), in this cas the slope is 1
and b is the y-intercept ( where the line touches 0 on the y axis) so at +2
BRAINLEST FOR BEST ANSWER. 50+POINTS!
The number of story books owned by eight classmates is shown below:
8, 9, 9, 7, 8, 6, 9, 8
Part A: What is the mean of the data? Show your work. (4 points)
Part B: Use your answer from Part A to calculate the mean absolute deviation for the data. Show your work. (6 points)
Answer:
Part A: The mean of the data is 8.
Part B: The Mean Absolute Deviation is 0
Step-by-step explanation:
Part A: For the mean, you add all the numbers up and then divide your answer by how many numbers you have. So You would do 64 divided by 8 and it gives you 8.
B: Since the Mean is 8, You would subtract each number by 8, but add. (I'm Going To show it under here)
|8 - 8| + |9 - 8| + |9 - 8| + |7 - 8| + |8 - 8| + |6 - 8 | + |9 - 8| + |8-8| .
0 1 1 -1 0 -2 1 0
Add them up and it should give you 0.
Answer:
What the guy above me said.
Step-by-step explanation:
PLS DO NOT USE THIS FOR POINTS. BRAINLIEST AND 100 POINTS
Question 2 (Essay Worth 10 points)
(08.02 MC)
The number of story books owned by eight classmates is shown below:
8, 9, 9, 7, 8, 6, 9, 8
Part A: What is the mean of the data? Show your work. (4 points)
Part B: Use your answer from Part A to calculate the mean absolute deviation for the data. Show your work. (6 points)