Answer:
X=-22
Step-by-step explanation:
1/2(x+18)=4(2x-6)-9x
1/2(x+18)=4(2x)-4(6)-9x
1/2(x+18)=8x-24-9x
1/2(x+18)=-x-24
2*1/2(x+18)=2(-x-24)
x+18 = -2x-48
x+2x+18 = -2x+2x-48
3x+18 = -48
3x+18-18 = -48-18
3x = -66
3x/3 = -66/3
x = -22
Find f'(-2) if f(x) = x^4/5 - 7x.
f'(-2) = ?
(Simplify your answer. Type an integer or a fraction.)
Answer:
15.74
Step-by-step explanation:
[tex] {x}^{ \frac{4}{5} } - 7x[/tex]
Substitute - 2 for x.
[tex] { (- 2)}^{ \frac{4}{5} } - 7( - 2)[/tex]
[tex] \sqrt[ 5]{ { (- 2) }^{4} } - 7( - 2)[/tex]
[tex]1.74 + 14[/tex]
[tex]15.74[/tex]
(I rounded to the nearest hundredth).
From a circular sheet of paper with a radius 20 cm, four circles
of radius 5 cm each are cut out. What is the ratio of the uncut to
the cut portion?
Answer:
3 : 1
Step-by-step explanation:
The biggest circle has a radius of 20 cm
So that means, its area will be,
Area = [tex]\pi r^{2}[/tex]
Area = [tex]\pi * 20^{2}[/tex]
A = [tex]\pi * 400[/tex]
=> A = 400[tex]\pi[/tex]
We do not need to solve this because it is nit required
Then, one small circle has an area of,
Area = [tex]\pi r^{2}[/tex]
Area = [tex]\pi *5^{2}[/tex]
Area = [tex]\pi *25[/tex]
=> Area = 25[tex]\pi[/tex]
As there are 4 circles in, we get that the area covered by the small squares,
=> [tex]25\pi * 4[/tex]
=> [tex]100\pi[/tex]
So, the amount shaded = 100/400 (We can omit the [tex]\pi[/tex] at this stage because we are finding out a ratio)
=> 1/4
So, there is 1 cut region and the remaining is the uncut region,
As we need to find uncut to cut, the ratio will be,
=> remaining : 1
=> 3 : 1
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I don't understand how to explain the answer will you help pls I will give you 50 pts if you help me!
Answer: Whats the question? I dont see
Step-by-step explanation:
2.) You need a carpet installed in your living room. You reach out to 2 different companies
for installation pricing. Lowes charges $ 2 a square foot and $60 to bring the
materials. Home Depot Charges $1.50 a square foot and $ 80 to bring the materials.
If your living room is 100 square feet, which company would you use?
Answer:
Home Depot
Step-by-step explanation:
Home Depot Has better charges because you have to multiply the question to see which one is lower.
The capacity of a dump truck is listed by the manufacturer as 10 yd3 . A construction site requires the removal of of dirt, and the contractor has four identical trucks. How many trips will each need to make
Question:
The capacity of a dump truck is listed by the manufacturer as 10 yd^3. A construction site requires the removal of 200 m^3 of dirt, and the contractor has three identical trucks. How many trips will each need to make?
Answer:
7 trips
Step-by-step explanation:
Given
[tex]Capacity = 10yd^3[/tex]
[tex]Dirts = 200m^3[/tex]
[tex]Trucks = 4[/tex]
Required
Determine the number of trips of each truck
Divide the volume of dirts by 4 to get the portion of each truck
[tex]Each\ Truck = \frac{200m^3}{4}[/tex]
[tex]Each\ Truck = 50m^3[/tex]
Divide the portion of each truck by capacity of each truck to get the number of trip
[tex]Trip = \frac{50m^3}{10yd^3}[/tex]
Convert m^3 to yd^3
[tex]Trip = \frac{50 * 1.30795yd^3}{10yd^3}[/tex]
[tex]Trip = \frac{65.3975yd^3}{10yd^3}[/tex]
[tex]Trip = \frac{65.3975}{10}[/tex]
[tex]Trip = 6.53975[/tex]
Approximate:
[tex]Trip = 7[/tex]
Which is cd = pq – a solved for q?
Step-by-step explanation:
The answer is
[tex]q = \frac{cd}{p} [/tex]
The manager of a technology store wants to save $20,000 in 3 years to make a down payment on a condominium. How much (in dollars) does the manager need to invest at the beginning of each week into an account that earns 7.25% interest compounded weekly
Answer:
$16,104.35Step-by-step explanation:
the expression for compound interest is given as
[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]
A=$20,000
P=?
r=7.25%=0.0725
n=52 weeks
t=3 year
[tex]20000= P(1 + \frac{0.0725}{52})^{52*3}\\\\20000= P(1 + \frac{0.0725}{52})^{156}\\\\20000= P(1 +0.00139)^{156}\\\\20000= P(1.00139)^{156}\\\\20000=1.2419P\\\\P=20000/1.2419\\\\P=16104.35\\[/tex]
the manager need to invest $16,104.35
Solve for z. -10 = 5z + 5
Answer: -2
:)
Step-by-step explanation:
In one day, Joe consumes 530 calories by drinking 1 serving of juice, 2 s
370 calories by drinking 2 servings of juice and 1 serving of milk. Marian
of milk and 1 soda. Using matrices to solve, how many calories are in
Answer:
B. 110
Step-by-step explanation:
In one day, Joe consumes 530 calories by drinking 1 serving of juice, 2 servings of milk, and 1 soda. Darius consumes 370 calories by drinking 2 servings of juice and 1 serving of milk. Marian consumes 510 calories by drinking 3 servings of milk and 1 soda. Using matrices to solve, how many calories are in 1 serving of milk?
A. 90
B. 110
C. 130
D. 180
Answer:
Let x represent the amount of calories in 1 servings of juice, y represent the amount of calories in 1 servings of milk and z represent the amount of calories in 1 servings of Soda.
Joe consumption can be represented by:
x + 2y + z = 530 (1)
Darius consumption can be represented by:
2x + y = 370 (2)
Marian consumption can be represented by:
3y + z = 510 (3)
The equations can be represented in matrix form as:
[tex]\left[\begin{array}{ccc}1&2&1\\2&1&0\\0&3&1\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}530\\370\\510\end{array}\right] \\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}1&2&1\\2&1&0\\0&3&1\end{array}\right] ^{-1}\left[\begin{array}{c}530\\370\\510\end{array}\right] \\\\\\[/tex]
[tex]\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}0.33&0.33&-0.33\\-0.67&0.33&0.67\\2&-1&-1\end{array}\right]\left[\begin{array}{c}530\\370\\510\end{array}\right]\\\\\\\left[\begin{array}{c}x\\y\\z\end{array}\right]=\left[\begin{array}{c}130\\110\\180\end{array}\right][/tex]
The amount of calories in one serving of milk is 110 calories
Rectangles P, Q, R, and S are scaled copies of one another. For each pair, decide if the scale factor from one to the other is greater than 1, equal to 1, or less than 1.
The image showing the complete question is attached.
Answer:
1) Scale factor = 2
2) Scale factor = 4
3) Scale factor = ½
4) Scale factor = 2
5) Scale factor = 1
6) Scale factor = ¼
7) Scale factor = 1
Step-by-step explanation:
Scale factor is a number by which the dimensions of an object are multiplied in order to create an enlarged or reduced object.
Now, from the image attached;
1) From P to Q, we see that the length of Q seems to be double that of P. Similarly, the width of Q seems to be double that of P. Thus, each dimension of P is said to be multiplied by 2 to achieve the enlarged dimensions of Q.
Thus, scale factor = 2
2) From P to R, we see that the length of R seems to be 4 times that of P. Similarly, the width of R seems to be 4 times that of P. Thus, each dimension of P is said to be multiplied by 4 to achieve the enlarged dimensions of R.
Thus, scale factor = 4
3) From Q to S, we see that the length of S seems to be half of that of Q. Similarly, the width of S seems to be half of Q. Thus, each dimension of Q is said to be multiplied by ½ to achieve the reduced dimensions of S.
Thus, scale factor = ½
4) From Q to R, we see that the length of R seems to be double that of Q. Similarly, the width of R seems to be double that of Q. Thus, each dimension of Q is said to be multiplied by 2 to achieve the enlarged dimensions of R.
Thus, scale factor = 2
5) From S to P, we can see that the dimensions of both rectangles remain the same. Thus, S was multiplied by a factor of 1 to get P. Scale factor = 1
6) From R to P, we see that the length of P seems to be a quarter that of R. Similarly, the width of P seems to be quarter of R. Thus, each dimension of R is said to be multiplied by ¼ to achieve the reduced dimensions of P.
Thus, scale factor = ¼
7) From P to S, we can see that the dimensions of both rectangles remain the same. Thus, P was multiplied by a factor of 1 to get S. Scale factor = 1
The weights of baby tortoises are approximately Normal with a mean of 25.6 ounces and a standard deviation of 2.3 ounces. What proportion of baby tortoises weigh between 25 and 30 ounces?
592344435555544433234555
Is X=10 a solution to the following equation? Show work to justify your answer.
-7x + 50 = x - 10
Answer:
x= 7.5
(that should be the answer)
Step-by-step explanation:
-7x+50 = x-10
10+50 = x+7x
60= 8x
60/8 = x
7.5= x
In order to solve for the variable in the equation 2 (4 x + 3) + 4 = 3 x minus (2 x + 4), Giovanni first applies the distributive property. Which equation is a result of this step? 8 x + 3 + 4 = 3 x minus 2 x + 4 8 x + 6 + 4 = 3 x minus 2 x minus 4 6 x + 5 + 4 = 3 x minus x + 3 6 x + 3 + 4 = 3 x minus x + 4
Answer:
b
Step-by-step explanation:
Answer:
B) 8x + 6 + 4 = 3x - 2x - 4
Step-by-step explanation:
Just took the test on edg :)
11. Mary just received her paycheck and would like to cash it. She does not have a checking account, where should she go to cash it? *
Answer:
Cash it at the issuing bank (this is the bank name that is pre-printed on the check)
Cash a check at a retailer that cashes checks (discount department store, grocery stores, etc.)
Cash the check at a check-cashing store.
Deposit at an ATM onto a pre-paid card account or checkless debit card account.
Step-by-step explanation:
Answer:
Amscot?
Step-by-step explanation:
what is 2,606 + 7,025?
Answer:
2606 + 7025 = 9631
Pls mark me brainliest
Answer: 9631
2606
+7025
9631
PLZZZ HELP ME WITH THESE 4 QUESTIONS
THX SO MUCH!! ( 80 POINTSSSSS!!!!)
For section 3.01 black, number 1 is correct, but number 2 is wrong.
When you raise an exponent to an exponent, you multiply the 2 exponents.
(x^4)^5 is x^20.
Number 3 is also right.
For 3.02, you use the interest formula. (1 + i/100)^t times x
x is the amount of money you have originally. i is the interest rate, t is the time.
1,500(1.03)^5 = 1738.91111145
$1738.91
For section 3.01 red in fractional exponents the numerator are the powers and the denominator is the root.
[tex]\sqrt[4]{a^{3} } = a^{\frac{3}{4} }[/tex]
Answer:
For section 3.01 black, number 1 is correct, but number 2 is wrong.
When you raise an exponent to an exponent, you multiply the 2 exponents.
(x^4)^5 is x^20.
Number 3 is also right.
For 3.02, you use the interest formula. (1 + i/100)^t times x
x is the amount of money you have originally. i is the interest rate, t is the time.
1,500(1.03)^5 = 1738.91111145
$1738.91
For section 3.01 red in fractional exponents the numerator are the powers and the denominator is the root.
Step-by-step explanation:
The area A of a triangle with base b and height h is given by A = = bh. Find the area when b = 18 m (meters) and h = 30 m.
The area is m?
Answer:
[tex]Area = 270m^2[/tex]
Step-by-step explanation:
Given
[tex]A = \frac{1}{2}bh[/tex]
[tex]b = 18m[/tex]
[tex]h = 30m[/tex]
Required
Solve for A
Simply substitute 18 for b and 30 for h
[tex]A = \frac{1}{2}bh[/tex]
[tex]A = \frac{1}{2} * 18 * 30[/tex]
[tex]A = 270[/tex]
Hence:
The area is
[tex]Area = 270m^2[/tex]
How many groups of 5 are 35?
I need answer stat!
Answer:
Step-by-step explanation:
7
Answer:
There are 7 groups of 5 in 35.
Thirty-one plus three times a number is seventy-six.
Helppp.
Answer:
15
Step-by-step explanation:
Pretend a is the number.
We have: 31 + 3a = 76
=> 3a = 76 - 31 = 45
=> a = 45/3
=> a = 15
help help hppppppp
Answer: 3
Step-by-step explanation:
N=7
What is 9,200 equal in hundreds
Which of the following is not equal to the rational number 7/4
Answer:
2
Step-by-step explanation:
Ronald has a 10% solution of the fertilizer Super Grow. How much pure Super Grow should he add to the mixture to get 36 oz of a 12.5% concentration?
Answer:
1 oz
Step-by-step explanation:
Given that:
% solution of super grow fertilizer = 10%
To obtain mixture of 36oz of a 12.5% concentration
Let oz of pure supergrowth to be added = s
(Initial % * (36 - s) + s) / 36 = target concentration
(10% * (36 - s) + s) / 36 = 12.5%
(0.1(36 - s) + s) / 36 = 0.125
Cross multiply:
0.1(36 - s) + s =. 0.125 * 36
3.6 - 0.1s + s = 4.5
3.6 + 0.9s = 4.5
0.9s = 4.5 - 3.6
0.9s = 0.9
s =. 0.9/0.9
s = 1
Hence, 1 oz of pure supergrowth should be added to the 10% solution to get 36 oz of a 12.5% concentration.
2. How many coefficients are in the expression 3,2 – 18y + 2y??
Answer:
2
Step-by-step explanation:
A coefficient is a number that is usually place before a variable to multiply it with.
Given expression:
3.2 - 18y + 2y
The variable in this problem is y;
So, the coefficients are:
-18 and +2
We have two coefficients.
what is the slope of the line that contains these points x=12,13,14,15 y=-4,2,8,14
Answer:
6
Step-by-step explanation:
Fid the difference in the y-coordinates of any two points. This is the rise.
Then find the difference in the corresponding x-coordinates of the same points. This is the run.
slope = rise/run
Let's use x = 12, x = 15, and y = -4, y = 14.
rise = -4 - 14 = -18
run = 12 - 15 = -3
slope = rise/run = -18/(-3) = 6
Answer: slope = 6
Does anyone stan Twice??
Answer:
This is literally me.
Step-by-step explanation:
The figure is composed of a rectangular prism and a triangular prism. Find the volume of the figure.
14 in.
32 in.
14 in.
9 in.
The volume of the figure is
in?
Answer:
either 4032 or 56448
Step-by-step explanation:
you have to multiply length times height times width.
The humidity dropped an average of 1 1/3% each hour over the last six hours. What was the total change in humidity?
Answer:7 /13
Step-by-step explanation:
what are the partial products of 9 x 813
Answer:
813
* 9. 9*800= 7200
9*10. =90
7200
90. 9*3. =27
27
7317
The partial product is 7317.
What is partial product?The partial product method involves multiplying each digit of a number in turn with each digit of another where each digit maintains its place. (So, the 2 in 23 would actually be 20.)
Given:
9 x 813
Now, breaking the number according to their place value.
So, 813
=(800 + 10 +3)
Then the partial product will be written as
=9 * (800 + 10 +3)
=9* 800+ 9*10 + 9*3
=7200 + 90 + 27
= 7317
Hence, the partial product is 7317.
Learn more about partial product here:
https://brainly.com/question/24716925
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Archaeologists used pieces of burned wood, or charcoal, found at the site to date prehistoric paintings and drawings on walls and ceilings of a cave in Lascaux, France. Use the information in Example 3 of Section 3.1 to determine the appropriate age of a piece of burned wood, if it was found that 88% of the C-14 found in living trees of the same type had decayed. (Round your answer to the nearest hundred years.) years
Answer:
The age of the wood is [tex] t = 17527.5 \ years [/tex]
Step-by-step explanation:
From the question we are told that 88% of of the C-14 found in living trees of the same type had decayed , this means that the proportion of C-14 that is remaining is mathematically evaluated as
[tex] 1 - 0.88 = 0.12[/tex]
Hence
[tex] N = 0.12N_o[/tex]
Here N represents the remaining C-14 while [tex]N_o[/tex] is the original amount of C-14
Generally the half life of C-14 is [tex]h = 5730 \ years[/tex]
Generally from the formula of radioactive decay
[tex]N = N_o * 2^{-\frac{t}{h} }[/tex]
=> [tex]0.12N_o = N_o * 2^{-\frac{t}{5730} }[/tex]
=> [tex]0.12 = 2^{-\frac{t}{5730} }[/tex]
taking the natural log of both sides
=> [tex] ln [0.12] = ln[ 2^{-\frac{t}{5730} }][/tex]
=> [tex] ln [0.12] = -\frac{t}{5730}ln(2) [/tex]
=> [tex] t = 17527.5 \ years [/tex]
The appropriate age of burned wood will be "17527.5 years".
Radioactive decayAccording to the question,
The proportion of C-14 = 1 - 0.88
= 0.12
then,
N = 0.12 N₀
Now,
The half-life of C-14 will be:
h = 5730 years
By using Radioactive decay formula, we get
→ N = N₀ × [tex](2)^{-\frac{t}{h} }[/tex]
By substituting the values,
0.12N₀ = N₀ × [tex](2)^{-\frac{t}{5730} }[/tex]
0.12 = [tex]2^{-\frac{t}{5730} }[/tex]
By taking "log" both sides,
ln[0.12] = ln[[tex]2^{-\frac{t}{5730} }[/tex]]
ln[0.12] = -[tex]\frac{t}{5730 \ ln(2)}[/tex]
hence,
The age will be:
t = 17527.5 years
Thus the above response is correct.
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