Answer:
40
Step-by-step explanation:
Find the sum of the first 10 terms of the sequence -8, -2, 4, 10, ...
Answer:
Step-by-step explanation:
What is the value of a in the equation 3 a plus b equals 54, when b equals 9?
Answer:
a + b = 54
a + 9 = 54
Use inverse operations to solve
Step-by-step explanation:
Colin knows his book is 1 foot long. He uses his book to help him estimate the length of his bike.
I want to help you but ... What's the question?
PLZ ANSWER FAST!
An apple is launched directly upward at 64 feet per second from an 80-foot tall platform. The equation for this apple’s height, h, at time t seconds after launch is h = -16t2 + 64t + 80.
a. Find the maximum height of the apple.
b. How many seconds will it take for the apple to reach the ground
Answer:
144 feet
5 seconds
Step-by-step explanation:
a.
we want the maximum (or the vertex)
-64/-32= 2
-16*2²+64*2+80=144
b.
Here we want the point in which the y=0
In other words, we want the x-intercept
-16x²+64x+80= -16(x-5)(x+1)
so we have
(5,0) and (-1,0)
reject the negative answer to get 5 seconds
A) the maximum height of the apple is 144 feet. B) it will take 1 second for the apple to reach the ground.
How to determine How many seconds will it take for the apple to reach the ground
a. To find the maximum height of the apple, we need to determine the vertex of the parabolic equation. The vertex represents the maximum point of the parabola.
The equation for the height of the apple is given as h = -16t^2 + 64t + 80.
To find the t-value at the vertex, we can use the formula t = -b / (2a), where a, b, and c are the coefficients in the equation.
In this case, a = -16 and b = 64. Substituting these values into the formula:
t = -64 / (2 * -16)
t = -64 / -32
t = 2
So, the apple reaches its maximum height at t = 2 seconds.
To find the maximum height (h), we substitute the value of t = 2 into the equation:
h = -16(2)^2 + 64(2) + 80
h = -64 + 128 + 80
h = 144
Therefore, the maximum height of the apple is 144 feet.
b. To find the time it takes for the apple to reach the ground, we set h = 0 in the equation and solve for t:
0 = -16t^2 + 64t + 80
We can factor this equation or use the quadratic formula. Let's use the quadratic formula:
t = (-b ± √(b^2 - 4ac)) / (2a)
In this case, a = -16, b = 64, and c = 80. Substituting these values:
t = (-64 ± √(64^2 - 4(-16)(80))) / (2(-16))
t = (-64 ± √(4096 + 5120)) / (-32)
t = (-64 ± √9216) / (-32)
t = (-64 ± 96) / (-32)
We have two possible solutions:
t1 = (-64 + 96) / (-32) = 1
t2 = (-64 - 96) / (-32) = 5
Since the apple was launched upward, we consider the positive solution t1 = 1.
Therefore, it will take 1 second for the apple to reach the ground.
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How do you find the are of the diameter
Is the answer a b or c
Answer:
Step-by-step explanation: A
Answer:
B
Step-by-step explanation:
10 to 4
4 divided by 2 = 2, 2 x 5 = 10
15 to 6
6 divided by 2 = 3, 3 x 5 = 15
35 to 14
14 divided by 2 = 7, 7 x 5 = 35
help anyone?? need to get this done
Answer:
The statue is 10cm tall in Kia's drawing.
Step-by-step explanation:
We know the statue is 80ft tall, as Bob's drawing was 1cm to 5ft and his drawing was 16cm tall. 16 x 5 = 80ft.
Because the new scale is 1cm to 8ft, you divide the 80ft tall statue with 8, and that leaves you with a 10cm tall replica statue.
Answer:
10 cm
Step-by-step explanation:
the three points A(0,0,0), B(2,-3,3) C(-2,3,-3) are collinear. find in what ratio each point divides the segment joining the other two.
Answer:
pls provide diagram
it will hep
im horrible at math so can some one write down the value to x
Answer:
x = 134 degrees
Step-by-step explanation:
The two angles are alternate interior angles, therefore they equal.
I hope this helped!
It can definitely be a bit tricky to remember all of the different types of angles! But let's see what we've got here.
Our given measures/variables, 134 and x, are both on the inside of the parallel lines (clue: INTERIOR). Then, we can see that they are on opposite sides (clue: ALTERNATE). Therefore, these are alternate interior angles.
Alternate interior angles are congruent, which means that x = 134 degrees.
Hope this helps!! :)
Type the correct answer in each box.
The value of x is °, and the value of y is °.
Reset Next
Answer:
X=60°
Y=50°
Step-by-step explanation:
Triangles must equal 180° when you add all angles together.
Triangle with angle X
50+70=120180-120=60X=60°To find the value of Y takes a few more steps, but it isn't hard!
Angle Y is on a line, which equals 180° just like a triangle.
We know X=60°, but we don't know what the blank angle equals.
We use the same steps as we did when finding X
60+50=110180-110=70Blank angle=70°We know that the blank angle=70° and that X=60°
Since the line equals 180, we add the two angles and then subtract from 180, just like before!
70+60=130180-130=50 Y=50°please helpp due soon!! 10 points :)
Answer:
[tex]2.3\:\mathrm{in^3},\\1.3\:\mathrm{fl\:oz}[/tex]
Step-by-step explanation:
The volume of a cone with radius [tex]r[/tex] and height [tex]h[/tex] is equal to [tex]V=\frac{1}{3}\cdot r^2\pi\cdot h[/tex].
What we're given:
Since radius is half the diameter, [tex]r[/tex] is [tex]1.1[/tex] Height of [tex]1.8[/tex]Substituting given values, we get:
[tex]V=\frac{1}{3}\cdot 1.1^2\pi \cdot 1.8=0.726\pi\approx \boxed{2.3\:\mathrm{in^3}}[/tex]
Convert to fluid ounces using the conversion given in the question:
[tex]0.726\pi}\cdot \frac{0.554}{1}\approx \boxed{{1.3\:\mathrm{fl\:oz.}}}[/tex]
Can someone please answer this
Answer:
3486784401 / 9^-6
Step-by-step explanation:
Hi!
(9^2)/(9^-8)
= 81/(9^-8)
= 81/1/43046721
Or
9^-6
Try both to see if they work. if they don't, hit me up in the comments
There are 3 types of bills, 4 quarters and 5 dimes in Mrs. Shorts wallet, the wallet contains twice as many $1 dollar bills as $5 dollar bills. The number of $20 bills multiples by 2, is 7 more than the total number of $1 bills and $5 bills combined. How many of each type of bills in Mrs. Shorts wallet if it contains a total of $182.50
Answer:
3 5 dollar bills, 6 1 dollar bills, and 8 20 dollar bills
Step-by-step explanation:
Solve: y = 2x. y = -x+3. Write the coordinates (__, __)
Answer:
(1,2)
Step-by-step explanation:
y = 2x. y = -x+3
Set the two equations equal
2x = -x+3
Add x to each side
2x+x = -x+x+3
3x = 3
Divide by 3
3x/3 = 3/3
x = 1
Now find y
y =2x = 2(1) = 2
(1,2)
Solve like how you solve the system of equations. System of Equations are to find the intercept of both graphs or to find which coordinate points are solution to both equations.
We are given the equations below:
[tex] \large{ \begin{cases} y = 2x \\ y = - x + 3 \end{cases}}[/tex]
Since both equations are y-isolated and we want to find the coordinate point that both equations have or the coordinate point that is a part of two equations.
[tex] \large{2 x = - x + 3}[/tex]
Isolate the x-term by adding both sides by x.
[tex] \large{2x + x = - x + 3 + x} \\ \large{3x = 3}[/tex]
Divide both sides by 3 so we can finally get the x-isolated equation.
[tex] \large{ \frac{3x}{3} = \frac{3}{3} \longrightarrow x = 1 }[/tex]
Next step is to find the value of y. x-term and y-term both have relations. That means when substituting x-term, we get y-term. Therefore, substitute x = 1 in any given equations. It is not necessary to substitute both, only one is fine. I will choose the first equation to solve for y-value.
[tex] \large{y = 2x}[/tex]
Substitute x = 1:
[tex] \large{y = 2(1) \longrightarrow y = 2}[/tex]
The value of y is 2 when x is 1. Since we want the answer to be in coordinate form or ordered pair. From (x,y) - we get (1,2).
Answer
(1,2) is the solution.I hope this helps! Let me know if you have any questions or doubts. Do not hestitate to ask if you've got a question. Good luck on your assignment and have a great day!
A baseball card was worth $120. Each year for x years, the card’s value, y, in dollars, decreased by $10. The owner sold the card after 5 years.
The value of the card can be modeled using a linear function. What is the domain of the function?
The value of the card can be modeled using a linear function. The domain of the function is 5.
What is a linear equation?A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.
A baseball card was worth $120.
Each year for x years, the card’s value, y, in dollars, decreased by $10. The owner sold the card after 5 years.
y = $120 - $10(5)
y = $150
domain = x or 5
Learn more about linear equations;
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pls helpppp me
i shall give brainliest
Answer:
B
Step-by-step explanation:
A) -4
B) results in a non-terminating, non-repeating decimal, which is irrational
C) 2
D) 4
What is the longest math problem in the world?
The stemplot below displays the arm spans, in centimeters, for 20 students.
A stemplot titled arm span (centimeters) has values 153, 155, 156, 160, 162, 162, 162, 163, 163, 165, 166, 167, 170, 173, 180, 181, 182, 189, 192, 202.
Identify the outliers, if they exist.
Answer:
189 and 202
Step-by-step explanation:
An outlier is a value that will have an effect on the mean of a set of values. It has an obvious difference compared to other values. They can be easily determined in a set of given data by mere observation.
From the given data in the question, it would be observed that the chronological difference among set of the data is either 1, 2, 3 or 4. But the two numbers that could be referred to as outliers are 189 and 202. This is because the have a wider range than others.
Answer:
Here are the answer choices you forgot:
There are no outliers.
153
202
192, 202
-----------
C & D are incorrect.
I think it is A : no outliers.
Latoya received a $30.25 gift card for a photo center. She used it to buy prints that cost 5 cents each. The remaining balance, B in dollars), on the card after buying x prints is given by the following. B = 30.25 -0.05x What is the remaining balance on the card if Latoya bought 20 prints?
What is x
Thanks for helping
Answer:
x = 3.5
Step-by-step explanation:
2x + 5 = 12
2x = 7
x = 3.5
Hope that helped!
[tex]\sf\purple{The\:value\:of\:x\:is\:3.5.}[/tex] ✅
Step-by-step explanation:
[tex]2x + 5 = 12 \\ ⇢ 2x = 12 - 5 \\ ⇢ 2x = 7 \\ ⇢ x = \frac{7}{2} \\ ⇢ x = 3.5[/tex]
[tex]\boxed{The\:value\:of\:x\:is\:3.5.}[/tex]
[tex]{ \bf{ \underbrace{To\:verify:}}}[/tex]
[tex]2x + 5 = 12 \\ ⇝2 \times 3.5 + 5 = 12 \\ ⇝7 + 5 = 12 \\ ⇝12 = 12 \\ ⇝L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
Find the measure of angle N in the triangle . first find the value of y and then plug it in. please show work. help
Answer:
Step-by-step explanation:
By the Isosceles Triangle Theorem, angle O and angle M are congruent because the sides across from each of these angles are congruent. therefore, O = M = 4y - 15. Since, by the Triangle Angle-Sum Theorem all the angles of a triangle have to add up to equal 180 AND angle O and angle M are the same:
7y + 4y - 15 + 4y - 15 = 180 and
15y - 30 = 180 and
15y = 210 so
y = 14. Plug 14 in for y in 7y and get that
∠N = 98°
Ami and Dan are going to bake a cake. They need two and a half cups of flour. Ami has 5/4 cups of flour, and Dan has 4/3 cups of flour. Do they have enough flour to bake the cake? *
Answer:
They have enough.
[tex]2\frac{6}{12} <2\frac{7}{12}[/tex]
Step-by-step explanation:
[tex]\frac{4}{3}+ \frac{5}{4}[/tex]
4 = 2 × 2
3 = 3 × 1
LCM of 4 and 3
= 2 × 2 × 3 × 1
= 12
[tex]4(\frac{4}{3})+ 3(\frac{5}{4})[/tex]
[tex]\frac{16}{12}+ \frac{15}{12}[/tex]
[tex]\frac{31}{12} =2\frac{7}{12}[/tex]
[tex]2\frac{1}{2} =2\frac{6}{12}[/tex]
[tex]2\frac{6}{12} <2\frac{7}{12}[/tex]
2. The Vasco da Gama Bridge in Lisbon, Portugal, includes a trapezoid as part of
its structure (pictured above). The bridge's roadway goes through the median of
the trapezoid. If the bases of the trapezoid measure 22 m and 38 m, what is the
approximate width of the bridge's roadway? Explain how you got your answer.
Answer:
30 m
Step-by-step explanation:
Midsegment of a Trapezoid
[tex]\frac{(Base_{1}) +( Base_{2}) }{2}[/tex]
[tex]\frac{12 + 38}{2}[/tex]
[tex]\frac{60}{2}[/tex]
30
Average of the top and bottom = the middle
The Really Spicy Hot Sauce Company decides to make a special-edition, extra-spicy version of its Really Spicy Hot Sauce. Expected demand for the special-edition version of their hot sauce is estimated to be 5000, normally distributed with a standard deviation of 1200. It will cost $2.50 to make each bottle; the bottles are intended to sell for $20. Whatever doesn't sell will be given to employees as a gift, thus earning $0 in revenue. Because it takes 3 years for the hot sauce to fully ferment and mature, the Really Spicy Hot Sauce Company can only make one batch of the special-edition hot sauce. How many bottles should the company make in order to maximize their expected profit? ______________
(5m-2n) (25m^2 + 10mn + 4n^2)
Answer:
ANSWER
[tex](5m - 2n)(25 {m}^{2} + 10mn + 4 {n}^{2}) [/tex]
[tex]5m(2 {m}^{2} + 10mn + 4 {n}^{2} ) - 2n(25 {m}^{2} + 10mn + 4 {n}^{2} )[/tex]
[tex]10 {m}^{3} + 50 {m}^{2}n + 20m {n}^{2} - \\ 50 {m}^{2} n - 20m {n}^{2} - 8 {n}^{3} [/tex]
[tex]10 {m}^{3} - 8 {n}^{3} (ans)[/tex]
HOPE IT HELPS
You are examining your choices of banks to open a new checking account. Potential costs include monthly maintenance fees, statement copy fees, and ___________.
Answer:
overdraft fees is your answer
Step-by-step explanation:
Help please!!
Jayson gets a loan from his parents with no interest L represents the remaining amount Jayson owes his parents on his loan t months. L=-250t+7000 how much did Jayson borrow from his parents?
Answer:
7000
Step-by-step explanation:
Given the equation :
L=-250t+7000
L = amount owed after t months of repayment.
From the equation given, we could deduce that it is a linear equation of the form :
y = bx + c
Where, b = - 250 is the slope = fixed amount paid per month and it's negative because the amount owed will reduce with each payment made.
c = intercept, which is the value of L when t = 0
This will give amount borrowed :
L=-250t+7000
At t = 0
L = - 250(0) + 7000
L = 7000
In factoring a trinomial with a leading coefficient other than 1, the first step is
to look for a common factor in each term and factor it out.
true of false
Answer:
True
Step-by-step explanation:
a p e x
A man borrows $500 and agrees to repay $750 at the end of 4 years. What is the rate of simple interest charged?
Answer:
The rate of simple interest is 0.125, or 12.5%.
Step-by-step explanation:
If the man must repay $750 after 4 years on a $500 loan, the simple interest would be ($750-$500), or $250.
The simple interest formula is i = p*r*t. Solving this for the interest rate, r, yields
i
r = ----------
p*t
and so, with i = $250, p = $500 and t = 4 yr, we find r as follows:
$250
r = ----------------- = 0.125
$500*4
The rate of simple interest is 0.125, or 12.5%.
which equation represents this number sentence? the product of 10 and a number is 3 less than the number
Step-by-step explanation:
According to the question,
~The product of 10 and a number is 3 less than the number.
Let us suppose the number as n. Writing it in the form of an equation,
→ 10 × Number = Number - 3
→ 10n = n - 3
Option B ✓
[tex] \rule{200}2 [/tex]