Answer:
Total Interest $100,522
Step-by-step explanation:
Answer:
$100,522
Step-by-step explanation:
Find the slope of the line that passes through (10, 6) and (7, 10).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
-1 1/3 - Proper Fraction
-4/3 - Improper Fraction
Step-by-step explanation:
(10,6) (7,10)
m = [tex]\frac{rise}{run}[/tex]
your "equation" should look like this: [tex]\frac{10-6}{7-10} =\frac{4}{-3} = -1\frac{1}{3}[/tex]
I hope this helped!!!!
A model rocket is launched directly upward at a speed of 20 meters per second from the ground. The function f(t)=−4.9t2+20t, models the relationship between the height of the rocket and the time after launch, t, in seconds. When, in seconds after launch, will the rocket reach its highest point? Round to two decimal places.
Answer:
The rocket will reach its highest point about 2.04 seconds.
Step-by-step explanation:
The function:
[tex]f(t)=-4.9t^2+20t[/tex]
Models the relationship between the height of the rocket and the time after launch t in seconds.
Since this is a quadratic function, the rocket will reach its highest point at its vertex. The vertex of a quadratic is given by:
[tex]\displaystyle \Big(-\frac{b}{2a}, f\Big(-\frac{b}{2a}\Big)\Big)[/tex]
In this case, a = -4.9, b = 20, and c = 0. Thus:
[tex]\displaystyle t=\frac{-(20)}{2(-4.9)}=\frac{10}{4.9}\approx 2.04[/tex]
The rocket reaches its maximum height after 10/4.9 or about 2.04 seconds.
Further Notes:
Then the maximum height of the rocket will be f(10/4.9):
[tex]\displaystyle f\Big(\frac{10}{4.9}\Big)=-4.9\Big(\frac{10}{4.9}\Big)^2+20\Big(\frac{10}{4.9}\Big)\approx20.41\text{ feet}[/tex]
WILL MARK BRAINLYIST
Please help I don’t know these questions
ou are interested in estimating the the mean age of the citizens living in your community. In order to do this, you plan on constructing a confidence interval; however, you are not sure how many citizens should be included in the sample. If you want your sample estimate to be within 4 years of the actual mean with a confidence level of 96%, how many citizens should be included in your sample
Answer:
[tex](\frac{4\sigma}{2.056})^2[/tex], rounded up, if needed, citizens should be included in the sample, in which [tex]\sigma[/tex] is the standard deviation of the population.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.96}{2} = 0.02[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.02 = 0.98[/tex], so Z = 2.056.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Within 4 years of the actual mean
We have to find n for which M = 4. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]4 = 2.056\frac{\sigma}{\sqrt{n}}[/tex]
[tex]2.056\sqrt{n} = 4\sigma[/tex]
[tex]\sqrt{n} = \frac{4\sigma}{2.056}[/tex]
[tex](\sqrt{n})^2 = (\frac{4\sigma}{2.056})^2[/tex]
[tex]n = (\frac{4\sigma}{2.056})^2[/tex]
[tex](\frac{4\sigma}{2.056})^2[/tex], rounded up, if needed, citizens should be included in the sample, in which [tex]\sigma[/tex] is the standard deviation of the population.
Phillip writes the following equation to show how many hours h he needs to work to earn $108 at $12 per hour: h12=108. Is his equation correct? Explain.
Answer:
Yes
Step-by-step explanation:
He is correct because h which is how many hours he needs to work times $12 will give you $108 which is the total cost.
How many fourths are equal to 1/2? Please help!
Mick paid $2.94 in sales tax on an item that cost $42.00 before tax. At that percent rate, how much would he pay in sales tax for an item that costs $58.00 before tax?
Answer:
4.06
Step-by-step explanation:
Answer:
34
Step-by-step explanation:
qsSDASD
What is the conjugate of (x2-6)?
Answer:
2(x - 3)
Step-by-step explanation:
how many do they have
Answer:
333
335
355
555
533
553
353
535
so I think 8
Is c2−6c+9 a perfect square?
Answer:
yes it's a perfect square
Jennifer is attending a school orchestra concert.She sees her math teacher seated 4.5 meters ahead of her and her science teacher seated 1.1 metes to her right.how far apart are the two teachers?
Answer:
j
Step-by-step explanation:
jj
More trig questions! Given that sin(C) = cos(B)Find the measure of ∠C if m∠C=10x+4 and the m∠B = 4x+2
Answer:
angle C = 64 degrees
Step-by-step explanation:
sin C = cos B
angle C = 10x+4
angle B = 4x+2
angle C + angle B = 90 degrees
10x+4 + 4x+2 = 90
simplify:
14x+6 = 90
14x = 84
x = 6
angle C = 64 degrees
how do I add this? 1 3/4 + 3 2/8
Answer:
5
Step-by-step explanation:
Answer:
The answer would be 5
Step-by-step explanation:
How many miles will Mrs. Garcia drive in eight hours if she is traveling 65 mph? _ miles
Answer:
520 miles
Step-by-step explanation:
65 mph * 8 hours = 520 miles
I hope this helps :)
Write 1 3/8 as an improper fraction.
Answer:
[tex] \frac{11}{8} [/tex]
Step-by-step explanation:
[tex] \frac{1 \times 8 + 3}{8} [/tex]
Answer:
11/8
Step-by-step explanation:
State if the pair of triangles are similar. If so, state how you know they are similar and
complete the similarity statement
Select the correct answer.
Consider this absolute value function.
f(x) = [ x + 3 ]
If function f is written as a piecewise function, which piece will it include?
A. x + 3, x > 3
B. x + 3, x > -3
C. -x + 3, x < -3
D. -x - 3, x < 3
Answer:
B) x + 3, x > -3
Step-by-step explanation:
I just took a test with this question on it and got it right.
Hope this helps! :)
If function f is written as a piecewise function, it will include x + 3, x > -3
The absolute value function is given as:
f(x) = | x + 3 |
Given that the function is an absolute value function, this means that:
|x + 3| > 0
Remove the absolute sign
x + 3 > 0
Subtract 3 from both sides
x > -3
Hence, if function f is written as a piecewise function, it will include x + 3, x > -3
Read more about absolute value functions at:
https://brainly.com/question/10538556
5/8+1/4 plz help me
what is the remainder
x^{2} -17x-60=
please give me the answer
Answer:
60
Step-by-step explanation:
13 inches = __ ft
PLS HELP PLS
Answer:
1.083
Step-by-step explanation:
Kylee bought a backpack at Tilly's for $32. The same backpack is on sale today for $24. What is the percent
of change? Round your answer to the nearest tenth.
Answer:
25
Step-by-step explanation:
358. Now consider the family of lines ax + by = c such that a, b and c are consecutive multiples
of each other. What would that mean? Give some examples of such lines in this family and graph
them. What do you notice or wonder?
Any subsequence of consecutive integers of length 9 that has a term ... Assume now that we have found an n-digit number m divisible by 2n made out of ... the set of ordered triples of people (a, b, c) such that c is either a ... again we have two families of lines, but such that M1j are all of the same color; ... a1(x)x2 − ax(x)x = 0.
Of the 800 people at a concert, 42% of them were teenagers. How many teenagers were at the concert
Answer:
336 of them were teenagers
Answer:
There are 336 teenagers at the concert.
Step-by-step explanation:
You are welcome
Find x. Please and thank you!
I need help I dont quite understand it
THE TEACHER WONT HELP ☺️ pls
answer:
2/5=0.4
2/5=40%
step-by-step explanation:
to get 2/5 as a decimal you can simply just divide 2÷5 which is 0.4
and from there you can use 0.4 to find the percentage multiply 0.4 x 100 which is 40
good luck :)
hopefully, this helps
have a great day !!
Dmitri wants to cover the top and sides of this box with glass tiles that are 1 cm square. How many tiles
will he need?
7 cm
14 cm
Dmitri will need
23 cm
glass tiles.
Answer:
372
Step-by-step explanation:
We are given that the dimensions of the box are,
Length = 15 cm, Width = 20 cm and Height = 9 cm.
We know that the box represents a cuboid.
Since, surface area of a cuboid = L×W + 2×L×H + 2×W×H
Thus, the surface area of the box = 15×20 + 2×15×9 + 2×20×9
i.e. Surface area = 300 + 270 + 360
i.e. Surface area = 930.
Thus, the surface area of the box is 930 cm² i.e. 9300 mm².
Further, the sides of the tiles are 5 mm and the tile represents a square.
So, the surface area of the tile = 5 × 5 = 25 mm².
This gives us that,
Number of tiles required to cover the box = = 372.
Hence, Dmitri requires 372 tiles to cover the box.
Use each number in the box once to complete the division
5÷6,206
Answer:
i believe it is 1,241.2
Step-by-step explanation:
well you use long division.