Answer:
[tex]\displaystyle g = \frac{2(h-vt)}{t^2}[/tex]
Step-by-step explanation:
We are given the equation:
[tex]\displaystyle h = vt+\frac{1}{2}gt^2[/tex]
And we want to solve for g, the acceleration due to gravity.
Proceed with algebra:
[tex]\displaystyle \begin{aligned} h & = vt + \frac{1}{2}gt^2 \\ \\ h - vt & = \frac{1}{2}gt^2 \\ \\ gt^2& = 2(h-vt) \\ \\ g &= \frac{2(h-vt)}{t^2}\end{aligned}[/tex]
In conclusion:
[tex]\displaystyle g = \frac{2(h-vt)}{t^2}[/tex]
Answer:
g = [tex]\frac{2(h - vt)}{t^2}[/tex]
Step-by-step explanation:
Given
h = vt + [tex]\frac{1}{2}[/tex] gt² ( subtract vt from both sides )
h - vt = [tex]\frac{1}{2}[/tex] gt² ( multiply both sides by 2 to clear the fraction )
2(h - vt) = gt² ( divide both sides by t² )
[tex]\frac{2(h-vt)}{t^2}[/tex] = g
What are the coordinates of the image of (- 4, 5) under the translation (x,y) (x-3,y+5)
(-4-3) (5+5) = -7,10
______is 15% of $84,652?
Answer: $12,697.80
Step-by-step explanation:
To find 15% of $84,652, you want to multiply them together.
0.15×84,652=12,697.80
Now, we know that $12,697.80 is 15% of $84,652.
Evaluate the expression 43+ [(96 = 8) ~ 5] - 42.
Answer:
233
Step-by-step explanation:
Step-by-step explanation:
43+[(96/8=12)×5]-42
=43+60-42
=103-42
=61
I need help with this please
Answer:
Step-by-step explanation:
For (a), you will use that 2 points that are closest to lying on the line which are the points located at (1, 14) and (7, 7).
For (b), you will use those 2 points to find the slope of the line using the slope formula:
[tex]m=\frac{7-14}{7-1}=\frac{-7}{6}=-1.167[/tex]
For (c), you will use point-slope form to write the equation. Point-slope form is
[tex]y-y_1=m(x-x_1)[/tex] where x and y stay x and y in the equation and x1 and y1 are replaced with one of the coordinates. Let's use (7, 7). Keep in mind that IT DOESN'T MATTER WHICH POINT YOU PICK...YOU WILL GET THE SAME EQUATION WITH EITHER ONE! And this is because both those points lie on the same line...the line for which we will write the equation.
We have m = -1.167, y = 7 and x = 7:
y - 7 = -1.167(x - 7)
That's the point-slope form of the line, but rarely is it ever left in that form. I've only seen it left in point-slope form in calculus. Most of the time, from point-slope form, you are asked to put it into slope-intercept form, and here is no exception. Putting the equation into slope-intercept form is the same thing as solving it for y. So let's get y all by itself on one side of the equals sign and everything else over on the other side. We also of course need to distribute into the parenthesis:
y - 7 = -1.167x + 8.169 and
y = -1.167 + 8.169 + 7 so
y = -1.167 + 15.169
That's your equation in slope-intercept form, so you're done!
The graph of f(x)=2^x is shown in black (k). Match each transformation of this function with a graph below.
Answer:
Step-by-step explanation:
From the graph attached,
Black curve represents a function f(x) = 2ˣ
When this curve is reflected over the x-axis image of the function will be,
g(x) = -[tex]2^{x}[/tex] [Red curve]
Similarly, curve represented by h(x) = [tex]2^{-x}[/tex] is the blue curve [image of f(x) reflected over y-axis]
When this curve is reflected over the x-axis, image of the function will be,
h'(x) = [tex]-2^{-x}[/tex] [green curve]
[tex]-2^{x}[/tex] → Red
[tex]-2^{-x}[/tex] → Green
[tex]2^{-x}[/tex] → Blue
curtis divided 27.16 by 2.8 in Got 0.97 is his answer reasonable why or why not
Given :
Curtis divided 27.16 by 2.8 and got 0.97 .
To Find :
Is his answer reasonable why or why not.
Solution :
When we divide 27.16 by 0.97 we will get 9.7.
So, Curtis did a calculation error of decimal and his answer is not acceptable.
Hence, this is the required solution.
If the length of a box of Milk Duds box is tripled, how much longer will the box be?
Answer:
3x
Step-by-step explanation:
x = original length of the box.
~theLocoCoco
Two similar triangles are shown below: Two triangles are shown. The sides of the triangle on the left are marked 6, 4, 3. The sides of the triangle on the right are marked as 3, 2 and 1.5. For the triangle on the left, the angle between sides marked 4 and 6 is labeled as w, marked by a double arc, and the angle between the sides marked 6 and 3 is labeled as x, marked by a single arc. The third angle is marked by a triple arc. For the triangle on the right, the angle between sides marked 3 and 1.5 is labeled as y and the angle between the sides marked 2 and 3 is labeled as v, marked by a double arc. The angle between the sides 2 and 1.5 is labeled as z, marked by a triple arc, and it is also the angle on the top vertex of this triangle. Which two sets of angles are corresponding angles? (4 points) a ∠w and ∠v; ∠x and ∠y b ∠w and ∠y; ∠x and ∠v c ∠w and ∠z; ∠x and ∠v d ∠w and ∠z; ∠x and ∠y
Answer:
a. ∠w and ∠v; ∠x and ∠yStep-by-step explanation:
We can see that the scale factor is 2
Corresponding sides have length of:
6 and 3; 4 and 2; 3 and 1.5Therefore corresponding angles, opposite to corresponding sides are:
∠x and ∠y; ∠w and ∠vCorrect answer option:
a. ∠w and ∠v; ∠x and ∠yAnswer:
His answer is correct!
Step-by-step explanation:
Got it right
please help!!! urgent
Answer:
E
Step-by-step explanation:
is the answer
Find the slope of the line passing through each of the following pairs of points.
(5.7), (-6, -3)
What is this
Answer: [tex]\frac{10}{11}[/tex]
Step-by-step explanation:
To find the slope, you want to use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].
[tex]m=\frac{-3-7}{-6-5}=\frac{-10}{-11} =\frac{10}{11}[/tex]
Now we know the slope is [tex]\frac{10}{11}[/tex].
Markel said he has 4 times
as many yellow cars as
blue cars. What is the ratio
for blue cars to yellow
cars?
Answer:
4:1
Step-by-step explanation:
Find the remaining side of a 45° – 45° – 90° triangle if the shorter sides are 2/3 each .
Answer:
The length of the longer side is 2√2/3
Step-by-step explanation:
A 45-45-90 triangle is a right-angled triangle.
In fact, since it has two angles equal, it is a right angled isosceles triangle. What we are saying is that two of its sides are equal.
Hence, we have two short sides which are the opposite and the adjacent and a longer side which is the hypotenuse
Thus, to find the length of the longer side, we employ Pythagoras’ theorem and it states that the square of the hypotenuse equals the sum of the squares of the two other sides;
Mathematically, let’s call the longer side x
so x^2 = (2/3)^2 + (2/3)^2
x^2 = 4/9 + 4/9
x^2 = 8/9
x = √(8/9)
x = 2√2/3
The sum of two complex numbers, where the real numbers do not equal zero, results in a sum of 34i. Which statement must be true about the complex numbers?
Answer:
The complex numbers have opposite real numbers.
Answer:
The Complex Numbers Have Opposite Real Parts
Step-by-step explanation:
X2 - X - 12
what's the answer for this question i am stuck
Answer:
not enough info
Step-by-step explanation:
not enough info
which operation must you use to calculate the submarine's change in elevation? which word or words in the problem signify this operation?
Answer:
The problem states that the submarine dives down 115 feet deeper. The words dives and down convey that the submarine dove farther below its initial level. So, I should subtract 115 feet from -502.5 feet.
Step-by-step explanation:
Correct answer
Whats the answer for −2 1/2,−5 3/4 The distance between the two numbers is
Answer:
3 1/4
Step-by-step explanation:
-5 3/4 + 3 1/4 = -2 1/2
What is the value of -42 +(5-2)(-6)?
Answer:
-60
Step-by-step explanation:
-42+3×(-6)
-42-(3×6)
-42-18
-60
How many pounds are equal to 3 tons?
Answer:
6000 pounds Hope this helps :)
Step-by-step explanation:
Multiply by mass value 2000
Answer:
6000
Step-by-step explanation:
Jamila paid $6 for a movie ticket, $1.59 for a small box of popcorn, and $2.50 for a drink at a movie theater. Which operation(s) would help Jamila find the total amount she spent at the theater?
Answer:
addition
Step-by-step explanation:
Answer:
It would be addition since you can see thats litterly the problem
Step-by-step explanation:
Jordan’s credit card has an APR of 10.59%, compounded monthly. He is required to make a minimum payment of 3.96% of his current balance every month. At the beginning of March, Jordan had a balance of $628.16 on his credit card. The following table shows his credit card purchases over the next few months. Month Cost ($) March 50.81 March 48.04 April 77.36 April 32.40 April 49.20 May 25.79 May 79.39 May 79.08 If Jordan makes only the minimum monthly payments in March, April, and May, what will his balance be after he makes the minimum payment for May? (Assume that interest is compounded before the monthly payment is made, and that the monthly payment is applied at the end of the month. Round all dollar values to the nearest cent.) a. $1,094.10 b. $988.97 c. $967.60 d. $1,070.23
Answer:
b. 988.97
Step-by-step explanation:
got a 100 on the test
The balance at the end of May after the minimum payment is made is
$571.64.
What is compound interest?It is the interest we earned on the interest.
The formula for the amount earned with compound interest after n years is given as:
A = P [tex](1 + r/n)^{nt}[/tex]
P = principal
R = rate
t = time in years
n = number of times compounded in a year.
We have,
P = $628.16
r = 10.59%
n = 12
t = 1/12
The amount after March.
A = 628.16 [tex](1 + 0.1059)^{12\times0.08[/tex]
A = $633.48
Monthly payment.
= 3.96/100 x 633.48
= $25.09
Remaining amount.
= 633.48 - 25.09
= $609.39
The amount after April.
A = 609.39 [tex](1 + 0.1059)^{12\times0.08[/tex]
A = $614.55
Monthly payment.
= 3.96/100 x 614.55
= $24.34
Remaining amount.
= 614.55 - 24.34
= $590.21
The amount after May.
A = 590.21 [tex](1 + 0.1059)^{12\times0.08[/tex]
A = $595.21
Monthly payment.
= 3.96/100 x 595.21
= $23.57
Remaining amount.
= 595.21 - 23.57
= $571.64
Thus,
The balance at the end of May is $571.64.
Learn more about compound interest here:
https://brainly.com/question/13155407
#SPJ3
Translate the following word phrase into an algebraic expression: nine times the difference of 5 and y.
Hey there! I'm happy to help!
Difference means that you subtract.
5-y
And we multiply this entire thing by 9, giving us 9(5-y).
Have a wonderful day! :D
33 feet is how many meters? Hint: 1 ft ≈ 0.305 m Round your answer to the nearest tenth. (HELP!)
Answer:
10.1m
Step-by-step explanation:
1ft = 0.305m
33ft = 33 x 0.305m = 10.065m ≈ 10.1m
3. Fill in the blanks so that the answer to this number sentence is correct: 2ab
Answer:
where's the question or the picture of the question
study of class attendance and grades among first-year students at a state university showed that, in general, students who missed a higher percent of their classes earned lower grades. Class attendance explained 36% of the variation in grade index among the students. What is the numerical value of the correlation between percent of classes attended and grade index?
Find the midpoint of the segment with the following endpoints.
(-1,9) and (-7,1)
Answer:
1 1/3
Step-by-step explanation:
m=y2-y1/x2-x1
or rise over run
m=1-9/(-7)-(-1)= (-8)/(-6)= 1 1/3
Answer:
11/3
Step-by-step explanation:
Marsha was shopping for a new dishwasher and researched the different models she could afford. Using Marsha’s frequency distribution table, determine the median price for dishwashers. Price,p($) Frequency,f 250 2 275 4 280 1 290 2 310 6 315 2 320 1 325 7 330 1 335 1 340 1 350 2
Answer
310
Step-by-step explanation:
add them all up and divide by 12
this is a segment addition practice. can someone please help me find the length indicated?
Answer:
3
Step-by-step explanation:
Points C, D, and E are collinear.
Segment CD = 8
Segment CE = 11
Segment DE = ?
According to the segment addition postulate:
[tex] CD + DE = CE [/tex]
[tex] 8 + DE = 11 [/tex] (substitution)
Subtract 8 from both sides
[tex] 8 + DE - 8 = 11 - 8 [/tex]
[tex] DE = 3 [/tex]
The missing lenght indicated = 3
A company’s sales increased 17% this year, to $8267. What were their sales last year?
Answer:
eekk im not shure sorry but it might be 8156 i no no
Step-by-step explanation:
The digit 5 in which number represents a value of 0.5? The answers are 5.4, 0.059, and 8.513.
Answer:
8.513 is the answer
Step-by-step explanation:
The value of 5 in 0.5 is the tenths place, hence if we look at all other options, the values of 5 are 5(ones place), and 0.05(Hundredth), so the option of 8.513 suits the question's answer. Hope this helped, Thank you.
Rewrite the following improper fraction as a decimal 15/2
Answer:
7.5
Step-by-step explanation:
Answer:
7.5
Step-by-step explanation:
all you need to do is divide 15 by 2