Answer:
10^2
Step-by-step explanation:
10^9/10^7 is the same as 10^9*10^-7 if you multiply two same bases you can add there exponents. So, 9+(-7)=2. So, it’s 10^2
Answer:
100
Step-by-step explanation:
Hope it helps
Due to the heightened demand for Clorox wipes, the company has marked up their prices by 20%. If they used to only cost $3.75, how much do they cost now?
A theme park ticket usually costs $154. Due to lower attendance rates, they have marked down their ticket costs by 18%. How much is the ticket cost now?
Answer:
hey there!
Step-by-step explanation:
FIRST QUESTION
3.75
10%= 0.375
20%= 0.75
3.75 + 75 = 4.50
$4.50
SECOND QUESTION
18/100 = X/154
X/154 = 18/100
X*154/154 = 18*154/100
X = 2772/100
X = 27.72
154- 27.72 = 126.28
$126.28
-8-8-6-2 4 12 22
What is the nth term rule of the quadratic sequence
Answer:
[tex]n^2 -3n - 6[/tex]
Step-by-step explanation:
Looking at the image attached, you must first work out the difference between each term. This is +0, +2, +4, +6, +8, +10 (shown in orange).
Because you now have a linear sequence, the difference is now the same each time. This is +2 (shown in blue).
Because the original sequence is a quadratic, you have to halve the second difference (the +2). This means that the value of [tex]n^2[/tex] is 1, so 1[tex]n^2[/tex] or just [tex]n^2[/tex] .
If you write out the values of [tex]n^2[/tex], you can work out how much more you need to add or take away. For example, take the first three terms in the sequence.
n = 1, 2, 3
x = -8, -8, -6
[tex]n^2[/tex] = 1, 4, 9
Work out the difference between [tex]n^2[/tex] and x:
1 - -8 = 9
4 - -8 = 12
9 - -6 = 15
This gives you yet another linear sequence, 9, 12, 15.
Working out the formula for this, the difference is 3 each time, so it is 3n. The first value of n is 1, so 3n is 1. The difference is 6, so the formula for this linear sequence is 3n + 6.
Because [tex]n^2[/tex] is greater than x, you need to take 3n + 6 away from [tex]n^2[/tex].
This gives [tex]n^2[/tex] - (3n+6), so the final answer is:
[tex]n^2[/tex] - 3n - 6.
A group of workers is harvesting carrots at a constant rate. An equation that represents the number of bushels of carrots the workers picked over a period of time, in hours, is y=6x+2. What are the rate of change and the initial amount? Explain the meaning of the rate of change and the initial amount for this situation.
Answer:
Step-by-step explanation:
y = bushels of carrots picked
6 = bushels of carrots per hour (rate of change)
x = time worked at picking
2 = initial number of bushels picked before time starts.
My original answer was deleted for "Violating community standards" but I have no idea why my answer ran afoul of the moderator's interpretation of the standard. Also I see no way to protest the action or to learn from my "mistake".
Given:In quadrilateral WXYZ , and bisect each other at point A.
Prove: Quadrilateral WXYZ is a parallelogram.
Statement
Reason
1. and bisect each other. given
2. WA = YA
XA = ZA
definition of bisection
3. m∠YAZ = m∠XAW
Vertical Angles Theorem
4.
SAS criterion for congruence
5. ∠ YWX ≅ ∠WYZ
Corresponding angles of congruent triangles are congruent.
6. ||
converse of Alternate Interior Angles Theorem
7. m∠XAY = m∠ZAW
Vertical Angles Theorem
8. ∆XAY ≅ ∆ZAW
SAS criterion for congruence
9. ∠XZW ≅ ∠ZXY
Corresponding angles of congruent triangles are congruent.
10. ||
converse of Alternate Interior Angles Theorem
11. Quadrilateral WXYZ is a
parallelogram.
definition of parallelogram
Answer:
Given:In quadrilateral WXYZ , and bisect each other at point A.
Prove: Quadrilateral WXYZ is a parallelogram.
Statement
Reason
1. and bisect each other. given
2. WA = YA
XA = ZA
definition of bisection
3. m∠YAZ = m∠XAW
Vertical Angles Theorem
4.
SAS criterion for congruence
5. ∠ YWX ≅ ∠WYZ
Corresponding angles of congruent triangles are congruent.
6. ||
converse of Alternate Interior Angles Theorem
7. m∠XAY = m∠ZAW
Vertical Angles Theorem
8. ∆XAY ≅ ∆ZAW
SAS criterion for congruence
9. ∠XZW ≅ ∠ZXY
Corresponding angles of congruent triangles are congruent.
10. ||
converse of Alternate Interior Angles Theorem
11. Quadrilateral WXYZ is a
parallelogram.
definition of parallelogramTriangles can be similar or congruent. Similar triangles will have congruent angles but sides of different lengths. Congruent triangles will have completely matching angles and sides. Their interior angles and sides will be congruent. Testing to see if triangles are congruent involves three postulates, abbreviated SAS, ASA, and SSS.
3. Consider the system { 9x – 12y = b
3x – 4y = 10
For what value of b will the system have infinitely many solutions?
Answer:
B=30
Step-by-step explanation:
Like and give 5 star rating
Answer:
b = 30
Step-by-step explanation:
all terms in the first equation will be three times the related terms in the second equation.
Then the two equation describe the same infinite line and any x,y pair that fits on one line will also fit on the other.
A 9 in the thousandths place has 10 times the value of a 9 in the ? Place.
Answer:
hundredths place
Answer:
ten thousandths place
Step-by-step explanation:
9 in the thousandths place is basically 0.009, and a 9 in the ten thousandths place is basically 0.0009, which multiplied by ten is 0.009
For every 3 minutes that Ginny plays on the computer, she plays outside for 10 minutes. What is the ratio of minutes Ginny plays on the computer to minutes she plays outside?
Three to Ten 3:10
...................................................
Could I get help on this?
Answer:
returning the collateral
PLEASE HELP WILL MARK BRAINEST
If I || m, find the values of x and y.
Answer:
x = 8, y = 89/9
Step-by-step explanation:
Because of parallel lines, some angles are the same, see the attached image. That also means that (12x-28) + (9y-77) = 180 because they are half of an angle. So:
(12x-28) + (9y-77) = 180 ->
12x + 9y = 185.
Then,
(7x+12) = (12x-28) ->
x = 8.
We can plug that into the last equation:
12(8) + 9y = 185 ->
y = 89/9
:)
Pls brainlest ASAP and add extra points for correct answer
Answer:
glucose, sunlight and oxygen on the left (they go in the cell)
water and carbon dioxide on the right (they go out of the cell)
simplify the expression 5 (6 + 7 and) using the distributive property
Answer:
65
Step-by-step explanation:
5(6 + 7)
Distribute 5 to 6 and 7.
(5x6)+(5x7)
Multiply.
30+35
Add.
65
Hope this helps :)
PLS HELP ME PLS HELP ME PLS HELP ME
Answer:
Step-by-step explanation:
It took the Selby family hours round -trip to drive from their house to their beach house 154 miles away . Find their average speed . 5 1/2
Step-by-step explanation:
Distance = 154 miles .
Time = 5 ½ hrs .
We know ,
Speed = s / t
v = 154 mi/ 5.5 hrs = 28 mi / hr
What is the inverse of the function g(x)=
-3(x + 6)?
g-1(x) =
What is the value of k? M 1150 Y Z (4k + 5) (6k + 10) X
I need help ASAP
Check the picture below.
no link no bot right please
Answer:
27pi in^3
Step-by-step explanation:
the volume for a cone is (1/3)pi*r^2*h. r=3in, h=9in. so the volume is (1/3)*pi*3^2*9=27pi
What do you call raising a base to the exponent 2
Answer:
Squaring
Step-by-step explanation:
PLEASE HELP WITH THIS ONE QUESTION
Answer:
X = 0 or X = -2
Step-by-step explanation:
2x^4 + 16x = 0
x^4 + 8x = 0
x(x+2) (4+x^2_2x) = 0
x + 2 = 0
or
4+x^2_2x=0
A roller coaster can take 209 passengers around the track in 11 minutes. How many passengers can the roller coaster take around the track per minute?
Covert fractions into percents
1/8= __
Answer:
12.5%
Step-by-step explanation:
What are equivalent ratios for 32/8
Hey there!
32/8
= 32 ÷ 8 / 8 ÷ 8
= 4 / 1
Therefore, your answer should be: 4:1 or 4/1
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Write a function in any form that would match the graph shown below
Answers:
Vertex form: y = -2(x-1)^2 + 8Standard form: y = -2x^2 + 4x + 6Pick whichever form you prefer.
=============================================================
Explanation:
The vertex is the highest point in this case, which is located at (1,8).
In general, the vertex is (h,k). So we have h = 1 and k = 8.
One root of this parabola is (-1,0). So we'll plug x = -1 and y = 0 in as well. As an alternative, you can go for (x,y) = (3,0) instead.
Plug those four values mentioned into the equation below. Solve for 'a'.
y = a(x-h)^2 + k
0 = a(-1-1)^2+8
0 = a(-2)^2+8
0 = 4a+8
4a+8 = 0
4a = -8
a = -8/4
a = -2
The vertex form of this parabola is y = -2(x-1)^2+8
Expanding that out gets us the following
y = -2(x-1)^2+8
y = -2(x^2-2x+1)+8
y = -2x^2+4x-2+8
y = -2x^2+4x+6 .... equation in standard form
Marking as brainliest! Find the missing side
Answer:
The trick for these is finding out what makes the largest known value into the corresponding lower value. Then we use that number to find the missing side length based on the value we know.
1. The missing side length is 40.
We can find this by dividing 70 by 56 to get 1.25. We then multiply this by 32 to get our missing side length.
2. The missing side length is 91.
We can find this by dividing 130 by 30 to get 4.333(repeating decimal). We then multiply this by our known value (21) to get our answer of 91.
3. The missing side length is 21.
We can fid this by dividing 36 by 12 to get 3. Then we multiply this by 7 (our known value) to get our answer.
Step-by-step explanation:
hope this helps. . .<3
good luck! UwU
Shawna has a photo album with space for 160 pictures. She has 33 pictures of her family, 48 pictures from summer camp, and 57 pictures from school. Does she have enough pictures to fill the photo album?
HELP WITH PART C
Lionfish are considered an invasive species, with an annual growth rate of 65%. A scientist estimates there are 7,000 lionfish in a certain bay after the first year.
Part C: If scientists remove 1,300 fish per year from the bay after the first year, what is the recursive equation for f (n)? Show all necessary math work.
So I know that the equation would be
[tex]f(n) = (f_{n-1} )(r)[/tex]
Where f(n) is the number of years but I am confused on how to fill out the rest. Any help would be appreciated. Thank you.
The recursive equation for f(n) will be f(n) = 4242.42(1.65)ⁿ - 1300n.
What is an exponent?Let Consider the function:
y = a (1 ± r) ˣ
Where x is the number of times this growth/decay occurs,
a = initial amount, and r = fraction which this growth/decay occurs.
Lionfish are considered an invasive species, with an annual growth rate of 65%.
Then the equation will be
f(n) = P(1.65)ⁿ
P = initial population
A scientist estimates there are 7,000 lionfish in a certain bay after the first year.
7000 = P(1.65)
P = 4242.42
Then the equation will be,
f(n) = 4242.42(1.65)ⁿ
If scientists remove 1,300 fish per year from the bay after the first year.
Then the recursive equation for f(n) will be,
f(n) = 4242.42(1.65)ⁿ - 1300n
Learn More about the exponent link is given below.
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what is the slope and the y intercept of y= -9x + 15
Answer:
Step-by-step explanation:
the slope for y = -9x + 15
Slope: -9
y-intercept: y= -9(0) + 15 = 0 + 15 = 15
(0, 15)
Answer:
-9
(0, 15)
Step-by-step explanation:
y = mx + c
y = -9x + 15
so m = -9
y intercept is when x = 0
c = 15
(0, 15)
Last year, Christine opened an investment account with $5600. At the end of the year, the amount in the account had decreased by 26.5%. How much is this
decrease in dollars? How much money was in her account at the end of last year?
Decrease in amount:
$
Year-end amount:
Answer:
Decrease amount: $1484 Year-end amount: $4116
Step-by-step explanation:
26.5% of 5600 is 1484. We then subtract 1484 from 5600 because that is how the percentage of decrease, which gives us 4116 dollars. This means her year-end account is 4116 dollars, and the decrease amount is 1484 dollars. Hope this helps!
Terry and Jim have two car loans totaling $ 26,004.
One loan has an annual percentage rate (APR) of 3.1 % and the other has an APR of 7%.
If the total interest they paid after one year is $1,481.25, what is the amount owed on each car?
(1 = PRT. Note t = 1 year).
Answer needed right away!! With explanation
The annual percentage rate is the interest rate for payment for the car
loan.
The mount owed on the car with an APR of 3.1% is approximately $8,693.08.The mount owed on the car with an APR of 7% is approximately $17,310.92.The given parameters are;
The amount of loan Terry and Jim have = $26,004
The annual percentage rate (APR) on one loan = 3.1 %
The annual percentage rate (APR) on the other loan = 7 %
Total interest paid after one year = $1,481.25
Required:
The amount owed on each car
Solution:
Let X represent the loan, with 3.1% APR, we have;
The other loan with 7% APR = 26,004 - X
Therefore;
0.031·X + 0.07·(26,004 - X) = 1,481.25
0.031·X + 1,820.28 - 0.07·X = 1,481.25
1,820.28 - 1,481.25 = 0.07·X - 0.031·X = 0.039·X
339.03 = 0.039·X
[tex]X = \dfrac{339.03}{0.039} \approx 8693.08[/tex]Therefore;
The amount owed on the car with an APR of 3.1%, X ≈ $8,693.08Therefore;
The amount owed on the car with an APR of 7% ≈ 26,004 - 8693.08 =
17310.92.
The amount owed on the car with an APR of 7% ≈ $17,310.92Learn more here:
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If an item that originally cost $20 is increased to $27, what is the percentage of increase in the item?
Express 405 1/3 in simplest radical form.
Answer:
3 cube root of 15
Step-by-step explanation:
theres your simple radical form
8(152/3) is 405 1/3 in simplest radical form.
What is simplification?Simplifying procedures is one way to achieve uniformity in job efforts, expenses, and time. It reduces diversity and variation that is pointless, harmful, or unneeded. Parenthesis, exponents, multiplication, division, addition, and subtraction are all referred to as PEMDAS. The order of the letters in PEMDAS informs you what to calculate first, second, third, and so on, until the computation is finished, given two or more operations in a single statement.
405 1/3 is equivalent to (405*3 + 1)/3 = 1216/3.
To express 1216/3 in simplest radical form, we can first simplify it by dividing both the numerator and denominator by their greatest common factor, which is 8.
1216/3 = (8*152)/3 = 8(152/3)
Now, we can see that 152/3 cannot be simplified any further, so the simplest radical form of 405 1/3 is: 8(152/3)
Learn more about Simplification here:
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