Answer:
The ratio of their volumes is not the same 4:1, but [tex](4:1)^3[/tex] = 64:1.
Step-by-step explanation:
Measurements in Similar Figures
In similar figures, if the ratio of any of these corresponding lengths is expressed as a:b then the ratio of the other corresponding lengths can also be expressed as a:b.
In similar figures, if the ratio of any of these corresponding lengths is expressed as a:b then the ratio of the areas can be expressed as (a:b)^2 and the ratio of the volumes can be expressed as (a:b)^3.
We are given the ratio of the sides of two similar prisms as 4:1. The ratio of their volumes is not the same 4:1, but [tex]\mathbf{(4:1)^3}[/tex] = 64:1.
Mr. and Mrs. Sanchez hope to send their daughter to college in fourteen years. How much money should they invest now at an interest rate of 9.5% per year, compounded continuously, in order to be able to contribute $9500 to her education?
Answer:
Principle (P) = $2,512.56 (Approx)
Step-by-step explanation:
Given:
Interest annually (R) = 9.5% = 0.095
Amount need (A) = $9500
Time period (T) = 14 years
Find:
Principle (P)
Computation:
A = P[e^(R*T)]
9,500 = P[e^(0.095 x 14)]
9,500 = P[3.781]
P = 9,500 / 3.781
Principle (P) = $2,512.56 (Approx)
Mr. and Mrs. Sanchez need to invest $2666 for 14 years in order to be able to contribute $9500 to her education.
A compound interest is given by the formula:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
Where A is the final amount, r is the rate, t is the period, P is the principal and n is the number of times compounded in a period.
Given that A = 9500, r = 9.5% = 0.095, t = 14, n = 1. hence:
[tex]A=P(1+\frac{r}{n} )^{nt}\\\\9500=P(1+0.095)^{14}\\\\9500=3.56P\\\\P=\$2666[/tex]
Mr. and Mrs. Sanchez need to invest $2666 for 14 years in order to be able to contribute $9500 to her education.
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Lisa takes a night walk after dinner every night. She walks 1/4 mile in 2 minutes. How how does she walk in 10 minutes? (write-in decimal form)
Answer:
1.25 miles
Step-by-step explanation:
Lisa takes a night walk after dinner every night.
She walks 1/4 mile in 2 minutes.
Distance = 1/4 mile
Time, t = 2 minutes
For covering 1 mile,
1/4 mile = 2 minutes
In 1 minute she will cover [tex]\dfrac{1}{8}\ \text{mile}[/tex]
For 10 minutes, she will cover [tex]\dfrac{10}{8}\ \text{mile}\ or\ 1.25\ \text{miles}[/tex]
So, she will cover 1.25 miles.
Set up a proportion and solve. Round answers to the nearest tenth.
What is 20% of 72?
Enter an Integer to represent the situation.
a $535 profit
Answer:
67
Step-by-step explanation:
Took a test
An angle turns through 75/360 of a circle. what is the measure of the angle?
Answer:
It is an acute angle....
The required measure of the angle through 75/360 of the circle is 75°.
What are the angle?Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.
What is a circle?The circle is the locus of a point whose distance from a fixed point is constant.
Since 75/360 of the circle represents the rotational factor as it describes is 75 part of 360 and 75 in the expressions is the angle measure.
Thus, the required measure of the angle through 75/360 of the circle is 75°.
Learn more about Angles here:
https://brainly.com/question/13954458
#SPJ2
Which recursive formula defines the sequence?
f(1) = 6, f(4) = 12, f(7) = 18
Step-by-step explanation:
HELP PLEASE NO FOOLISH ANSWERS
QUESTION: When we apply a force to something, it moves! Mass is important for calculating how fast things accelerate (change speed) when we apply a force to them. What determines how fast a car can speed up? You probably know that your car accelerates slower if it has five adults in it than if it only has one. IDEK WHY THIS IS A MATH PROBLEM-
Answer:
Mass determines how fast a car can accelerate. Since a car accelerates slower with more adults, and faster with less adults, this means that the mass has a big impact on acceleration. Therefore, we can conclude that the mass determines how fast a car can accelerate.
a number plus the sum of the number
and seven.
Answer:
x+(x+7)
Step-by-step explanation:
sum=add all together
Please define the following terms:
mercantilism, import, export, enumerated article, legislature, indentured servant, Navigation Acts, Dominion of New England, English Bill of Rights.
Answer:
★ Mercantilism - loosely related policies developed by Britain so that the colonies could be used as a source of raw materials.
★ Import - when items are brought in from other countries.
★ Export - when items are sold from one country to another.
★ Enumerated Article - certain crops and items, such as sugar, tobacco, cotton, ginger, and some dyes, that could not be shipped, carried, conveyed, or transported under the Navigation Act of 1660.
★ Legislature - a group of people coming together to legitimize decisions.
★ Indentured Servant - colonists who received free passage to North America in exchange for working without pay for a certain number of years.
★ Navigation Acts - band of laws that restriced the use of foreign shipping for trade only between england and its colonies.
★ Dominion of New England - an english governing organization that united the New England colonies into a single administrative unit from 1686 to 1689.
★ English Bill Of Rights - act passed by parliament, that ensured the superiority of parliament over the monarchy.
Step-by-step explanation:
Hope you have a great day ;-)
Factors of 121 what do you think ???
Step-by-step explanation:
[tex]121 = 11 \times 11[/tex]
1, 11 and 121
A city holds an election for mayor every 2 years and an election for treasurer every 6 years. It held elections for both mayor and treasurer this year. How many years will
it be before the elections for mayor and treasurer both happen in the same year again?
Answer:
3years
Step-by-step explanation:
Answer:
It will take for about 6 six years for the election for both positions be taken
Given 2x+4y=12 what is the x and y int
Solve: (3x-9) and (x + 5)
Answer:
2
Step-by-step explanation:
Got it right on my test
g The average work week in Los Angeles was 40.1 hours in the first quarter of 2019. It is believed that the pandemic has led to a reduction in the average work week. To test the validity of this belief, the hypotheses are
Answer:
b. Hо : μ ≥ 40.1; Ha : μ > 40.1
Step-by-step explanation:
Note: The complete options to the question is attached as picture below
The alternative hypothesis is focusing on "the recession has led to a reduction in the average work week".
So, it will be less than the past average. i.e, 40.1.. so, we will use a less than (<) sign to write the alternative hypothesis.
The hypotheses are as below:
Hо : μ ≥ 40.1 (Null hypothesis)
Ha : μ > 40.1 (Alternative hypothesis)
How do you solve 5(N+4)/3 = N-8
Answer:
n=-22
Step-by-step explanation:
rewrite the equation as 5(n+4) = n-8
3
now distribute the 5 through the parentheses 5n+20 = n-8
3
multiply each side by 3 5n+20=3n - 24
subrtact 3n from both sides 5n+20=3n - 24
-3n -3n
2n+20=-24
then subtract 20 from each side 2n +20=-24
-20 -20
Giving you 2n=-44 then divide both sides by 2
2n=-44 Giving you n=-22
2 2
Find the midpoint of the segment with the following endpoints.
(-3, 8) and (-8,2)
Answer:
[tex](\frac{-11}{2},5)[/tex]
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASAlg I
Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]Step-by-step explanation:
Step 1: Define
Point (-3, 8)
Point (-8, 2)
Step 2: Solve for midpoint
Substitute: [tex](\frac{-3-8}{2},\frac{8+2}{2})[/tex]Subtract/Add: [tex](\frac{-11}{2},\frac{10}{2})[/tex]Divide: [tex](\frac{-11}{2},5)[/tex]Answer:
The answer is (-5.5, 5)
8x + 13x
PLEAsE HLEP ME SLOVE THIS PLEASE SHOW WORK TO? THANK YOU
Answer & Step-by-step explanation:
Since they are like terms (meaning they are in the same form), you can add:
[tex]8x+13x=21x[/tex]
:Done
if receiver travels 54 yards in 9 seconds whats the average speed
Answer:
Step-by-step explanation:
The average speed is 6 yards in 1 second!
GO CHEIFS!
Hope it helps
Answer:
6
Step-by-step explanation:
To find the average speed which is also the unit rate you simply need to divide the two numbers.
54 ÷ 9 = 6
So, 6 yards is your average speed.
Make me brainliest
If ll m, find the value of each missing variable(s) .
Answer:
1. m=5
2. 2(8x+11)
3.m=7
Step-by-step explanation:
Ise9urgyobrhrstbydfdsfwefwefsdfewfds
200 people watched a movie. 55% of the people liked the movie. How many
people did not like the movie?
Answer:
115
Step-by-step explanation:
Answer:
90 people
Step-by-step explanation:
So, all you have to do is put the equation as a proportional rate. First, you should subtract 55% from 100% to get you 45%, since that's the percentage of the people who didn't like it. Now, put that percentage in a fraction, so 45/100. Next to it, put the fraction x/200, since the denominator should be the total amount of people and x for the people who didn't like the movie. To solve this, you must take the numerator from 45/100 with the denominator from x/200 and multiply it, getting you 9000. Now divide this from the denominator in the fraction 45/100, getting you to 45/100 = 90/200. So x=90.
If that was confusing, just think about it like this... 200 is a multiple of 100, right? So, to get your answer you could just multiply 45/100 by 2 on both sides getting you to 90/200 = 90/200.
Hope that helps ;D
In which pair do both decimals represent rational numbers?
O A. 0.296 and 0.9888...
B. 4.462837305718274... and 0.9888
O C. 6.32891237302554... and 0.9888...
D. 6.32891237302554... and 0.296
Answer:
Step-by-step explanation:
Option A. 0.296 and 0.9888 is correct because rational no are terminating and repeating ..
pls answer this yall
2a-1+8b-12b+7a-12
Please Note: IMAGE BELOW IS NOT DRAWN TO SCALE!
Given: Point E is the midpoint of AC and DF
Prove: ADEA AFEC
C
F
А
B
B
Answer:
more imformation?
Step-by-step explanation:
12 cookies for 3 students rate and unit rate
Answer:
3:12 1:4
Step-by-step explanation:
Hope this helps! (^-^)
Answer: 4 cookies per student.
Step-by-step explanation:
his is a fraction equal to
12 cookies ÷ 3 students
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 3
12 cookies ÷ 3
3 students ÷ 3
=
4 cookies
1 student
=
4 cookies
student
= 4 cookies per student
Please turn the sentence into an expression
3. twelve more than the sum of ten and a
number
Answer:
Do U-Turn
Step-by-step explanation:
Step-by-step explanation:
12+(10+x)
I hope this helps
What the * stands for ?
A laboratory scale is known to have a standard deviation of Ï = 0.001 gram in repeated weighings. Scale readings in repeated weighings are Normally distributed, with mean equal to the true weight of the specimen. A particular specimen is weighed 8 times on this scale. The average weight is x ¯ = 4.1602 grams. A 99% confidence interval for the true weight of the specimen is:_______
Answer:
the confidence interval for the true weight of the specimen is;
4.1593 ≤ μ ≤ 4.1611
Step-by-step explanation:
We are given;
Standard deviation; σ = 0.001
Sample size; n = 8
Average weight; x¯ = 4.1602
We are given a 99% confidence interval and the z-value at this interval is 2.576
Formula for confidence interval is;
CI = x¯ ± (zσ/√n)
Plugging in the relevant values, we have;
CI = 4.1602 ± (2.576 × 0.001/√8)
CI = 4.1602 ± 0.000911
CI = (4.1602 - 0.000911), (4.1602 + 0.000911)
CI ≈ (4.1593, 4.1611)
Thus, the confidence interval for the true weight will be expressed as;
4.1593 ≤ μ ≤ 4.1611
Where μ represents the true weight
A pharmacologist measured the concentration of dopamine in the brains of several rats. The mean concentration was 1,269 ng/gm and the standard deviation was 145 ng/gm.4 What was the standard error of the mean if:_______.(a) 8 rats were measured?
(b) 30 rats were measured?
Answer:
51.265242 ng/gm ; 26.473257 ng/gm
Step-by-step explanation:
The standard error of the mean = standard deviation / √sample size
Given that:
mean concentration = 1,269 ng/gm
Standard deviation (s) = 145 ng/gm
Standard Error if 8 rats were measured :
Sample size (n) = 8
Standard Error = s / √n
Standard Error = 145 / √8
Standard Error = 145 / 2.8284271
Standard Error = 51.265242 ng/gm
If 30 rats were measured :
Standard Error = 145 / √30
Standard Error = 145 / 5.4772255
Standard Error = 26.473257 ng/gm
Rewrite 4x − 2y = 10 in slope-intercept form. Give the slope and y-intercept.
y =
m =
b =
Answer:
y=2x-5
slope is 2 and y intercept is -5
Step-by-step explanation:
this is because you put y by itself and the equation becomes -2y=-4x+10. Multiply by -1 to make these positive and get 2y=4x-10. Divide both sides by 2 and make the equation y=2x-5. Hope this helps