Answer:
x = 17
Step-by-step explanation:
[tex]y = x2 - 9 \times 2 - 16[/tex]
[tex]0 = 2x - 18 - 16[/tex]
[tex]0 = 2x - 34[/tex]
[tex] - 2x = - 34[/tex]
[tex]x = 17[/tex]
plese help me fast I will mark you brainlist
[tex]\\ \sf\longmapsto 5x+5+4x-5=180[/tex]
[tex]\\ \sf\longmapsto 5x+4x+5-5=180[/tex]
[tex]\\ \sf\longmapsto 9x=180[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{180}{9}[/tex]
[tex]\\ \sf\longmapsto x=20[/tex]
y=x=20z=5x+5=5(20)+5=100+5=105Step-by-step explanation:
hope this helps u ✌️✌️
Make mister as brainliest
Someone please help me.
This pool has a deep end and a shallow end.The pools perimeter is 70 ft.Hiw wide is the deep end,d?
Work Shown:
L = d+9 = length along the horizontal
W = 10 feet = width along the vertical
P = 2(L+W) = perimeter of rectangle = 70 feet
70 = 2(d+9+10)
70/2 = d+19
35 = d+19
d+19 = 35
d = 35-19
d = 16
The deep end is 16 feet wide
Add. Simplify the answer
Answer:
[tex]4g^{2}h-12gh^{2}-9gh[/tex]
Copy and paste version:
4g^2h-12gh^2-9gh
Step-by-step explanation:
[tex](4g^{2}h-gh-9gh^{2})+(8gh-3gh^{2})=\\4g^{2}h-gh-9gh^{2}+8gh-3gh^{2}=\\4g^{2}h-9gh-12gh^{2}=\\4g^{2}h-12gh^{2}-9gh[/tex]
Answer:
4g^2h-12gh^2-9gh
Step-by-step explanation:
This is Quadratics.
(5n−5)(2+2n)
Answer: 10n^2 - 10
Step-by-step explanation:
(5n - 5)(2+2n) becomes (5n-5)(2n+2)
= (5n)(2n) + (5n)(2) + (-5)(2n) + (-5)(2)
= 10n^2 - 10
The climactic moment in the film "The Eggplant That Ate New Jersey" comes when the brilliant young scientist announces his discovery of the equation for the volume of the eggplant: V(fe) = 3.53 X 10-2 exp(2?) where t is the time in hours from the moment the vampire injected the eggplant with a solution prepared from the blood of the beautiful dental hygienist.
(a) What are the units of 3.53 X 10-2 and 2?
(b) The scientist obtained the formula by measuring V versus t and determining the coefficients by linear regression. What would he have plotted versus what on what kind of coordinates? What would he have obtained as the slope and intercept of his plot?
(c) The European distributor of the film insists that the formula be given for the volume in m3 as a function of t(s). Derive the formula.
(a) Concerning the coefficients of the equation for the volume of the eggplant ( [tex]V(ft^{3}) = 3.53\times 10^{-2}\cdot e^{2\cdot t^{2}}[/tex]), the units of the coefficients with values [tex]3.53 \times 10^{-2}[/tex] and 2 are cubic feet and [tex]\frac{1}{h^{2}}[/tex], respectively.
(b) Regarding the determination of the coefficients by linear regression, the scientist must plot the square of time versus the natural logarithm of the volume and he would have obtained that the intercept is the natural logarithm of constant A and the slope is constant B.
(c) After the solicitation of the European distributor of the film, the new formula is [tex]V' = 9.884\times 10^{-4}\cdot e^{1.543\times 10^{-7}\cdot t'^{2}}[/tex], where volume is in cubic meters and time is in seconds.
Note - The statement reports typing mistakes. We present the correct statement below:
The climatic moment in the film "The Eggplant that Ate New Jersey" comes when the brilliant young scientist announces his discovery of the equation for the volume of the eggplant: [tex]V(ft^{3}) = 3.53\times 10^{-2}\cdot e^{2\cdot t^{2}}[/tex], where [tex]t[/tex] is the time in hours from the moment the vampire injected the eggplant with a solution prepared from the blood of the beautiful dental hygienist.
(a) What are the units of [tex]3.53\times 10^{-2}[/tex] and [tex]2[/tex]?
(b) The scientist obtained the formula by measuring [tex]V[/tex] and [tex]t[/tex] and determining the coefficients by linear regression. What would he have plotted versus what on what kind of coordinates? What would he have obtained as the slope and intercept of his plot?
(c) The European distributor of the film insists that the formula must be given for the volume in cubic meters ([tex]m^{3}[/tex]) as a function of time, in seconds. Derive the formula.
(a) In this exercise, we must make use of principles for dimensional analysis. We know that the equation for the volume of the eggplant is represented by:
[tex]V(ft^{3}) = 3.53\times 10^{-2}\cdot e^{2\cdot t^{2}}[/tex] (1)
Dimensionally speaking, we have the following case:
[tex][L]^{3} = [A]\cdot e^{[B]\cdot [t]^{2}}[/tex] (2)
By direct inspection and some algebraic handling, we conclude that:
[tex][A] = [L]^{3}[/tex]
[tex][B] = [t]^{-2}[/tex]
Therefore, the units of [tex]3.53 \times 10^{-2}[/tex] and 2 are cubic feet and [tex]\frac{1}{h^{2}}[/tex], respectively.
(b) The curve fit for the exponential expression used by the scientist is of the form:
[tex]V = A\cdot e^{B\cdot t^{2}}[/tex] (3)
If we apply logarithms on both sides of the expression above, then we have the following form:
[tex]\ln V = \ln A\cdot e^{B\cdot t^{2}}[/tex]
[tex]\ln V = \ln A + B\cdot t^{2}[/tex] (4)
The scientist must plot the square of time versus the natural logarithm of the volume and he would have obtained that the intercept is the natural logarithm of constant A and the slope is constant B.
(c) An hour equals 3600 seconds and a cubic feet equals 0.028 cubic meters. Hence, we can adapt (1) to fulfill the requirements of the European film distributor by using the following conversions:
[tex]t' = 3600\cdot t[/tex] (5)
[tex]V' = 0.028\cdot V[/tex] (6)
Where:
[tex]t[/tex] - Time, in hours.[tex]t'[/tex] - Time, in seconds. [tex]V[/tex] - Volume, in cubic feet.[tex]V'[/tex] - Volume, in cubic meters.By applying (5) and (6) in (1), we have the resulting formula:
[tex]V' = 0.028\cdot [3.53\times 10^{-2}\cdot e^{2\cdot \left(\frac{t'}{3600} \right)^{2}}][/tex]
[tex]V' = 9.884\times 10^{-4}\cdot e^{1.543\times 10^{-7}\cdot t'^{2}}[/tex]
The new formula is [tex]V' = 9.884\times 10^{-4}\cdot e^{1.543\times 10^{-7}\cdot t'^{2}}[/tex], where volume is in cubic meters and time is in seconds.
We kindly invite to check this question on exponential functions: https://brainly.com/question/2456547
After a small online search, I've found that the volume equation is:
[tex]V[ft^3] = 3.53 \cdot10^{-2} \cdot exp(2 \cdot t^2)[/tex]
a) We want to see what are the units of the first factor:
[tex]3.53 \cdot10^{-2}[/tex]
You can see that the volume is in cube feet, and the only part in the equation that can have units is this one, so the units of this factor should be cube feet.
b) On the vertical coordinate he would see the volume and on the horizontal coordinate he would see the time.
The graph of this function is an increasing exponential function, that grows slow at the beginning and then grows faster.
c) Remember that the term with the units is:
[tex]3.53 \cdot10^{-2}[/tex]
So we should write this as:
[tex]3.53 \cdot10^{-2} ft^3[/tex]
Now we know that:
[tex]1m^3 = 35.3 ft^3\\\\1 = \frac{1 m^3}{35.3 ft^3}[/tex]
Now we can multiply our measure by this to get:
[tex]3.53 \cdot10^{-2} ft^3 = ( \frac{1 m^3}{35.3 ft^3})*(3.53 \cdot10^{-2} ft^3) = 0.1 m^3[/tex]
Then the equation is:
[tex]V = 0.1m^3\cdot exp(2 \cdot t^2)[/tex]
If you want to learn more you can read:
https://brainly.com/question/172096
step by step explaining
how to multiply 2 digit number to 2 digit number..
Hero and his coworkers had lunch at a restaurant near their work and 18% tip on the bill was $10.08 how much was the bill not including the tip!
Answer:
$8.27
Hope this is right <3
Please someone help
[tex]\begin{array}{l}\begin{cases} \begin{array}{l}\sin \alpha =\frac{x}{12} \Leftrightarrow x=12\sin \alpha \end{array}\\\cos \alpha =\frac{y}{12} \Leftrightarrow y=12\cos \alpha \end{cases}\\\\\text{Thus,\ the\ area\ is}\\\\A=\frac{xy}{2} =\frac{12\sin \alpha \cdotp 12\cos \alpha }{2}\\\\\Longrightarrow A=72\sin \alpha \cos \alpha \end{array}[/tex]
D
One of the legs of a right triangle measures 16cm and its hypotenuse measures 13 cm.
Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer:
9.3
Step-by-step explanation:
Denali
, North America's highest peak, is 20,310 feet above sea level. Death Valley is
282 feet below sea level. What is the difference between their two positions?
Answer:
above the sea level means height than the sea and below sea level means lower than sea height
someone plz help radius is 1.5 ft
Answer:
Area =
[tex]\pi {r}^{2} [/tex]
=3.14×1.5^2
=3.14×2.25
=7.065
Hence the area of circle is 7.065.
What is the solution to the system of equations graphed below?
y = x. 3
y=3x+1
y = x+3
y = 3x + 1
A. (0,1)
B. (1.4)
C. (1,3)
D. (0,3)
Help pls
Answer:
(1,4)
Step-by-step explanation:
Let y (upper eq) = y (lower eq)
x+3 = 3x+1
(transposing similar numbers)
3x-x = 3-1
2x = 2
then x = 1
substituting x in any of the equation, say
y = x+3
y = 1 +3
y = 4
therefore (1,4)
check again the lower equation
y = 3x + 1
y = 3(1) + 1
y = 4
therefore (1,4)
a community center is trying to raise $1680 to purchase exercise equipment. the center is hoping to receive equal contributions from members of the community. write and algebraic expression to determine how much will be needed from each person if n people contribute. Then evaluate the expression for 10, 12, 14, or 16 people.
Lets find f(n) formula
[tex]\boxed{\sf f(n)=\dfrac{1680}{n}}[/tex]
Now
[tex]\\ \sf\longmapsto f(10)=\dfrac{1680}{10}=168[/tex]
[tex]\\ \sf\longmapsto f(12)=\dfrac{1680}{12}=140[/tex]
[tex]\\ \sf\longmapsto f(16)=\dfrac{1680}{16}=105[/tex]
[tex]\\ \sf\longmapsto f(14)=\dfrac{1680}{14}=120[/tex]
Simplify 3(8x+2y)
A. 30x+y
B. 24x+2y
C. 24x+6y
D. 30xy
Answer:
The choose C. 24x+6y
Step-by-step explanation:
[tex]3(8x + 2y) = 24x + 6y[/tex]
I hope I helped you^_^
Solve x + 5= -7
I need this ASAP
After a 90% reduction, you purchase a new clothes dryer on sale for $62. What was the original price of the clothes dryer?
Answer:
$7.20
Step-by-step explanation:
First, we would have to find out how much to subtract from $62.
We need to multiply 90% and 62 or 0.9 x 62
When we finish this equation we get 54.8, which is what we need to subtract from 62 to see what 90% off is.
62 - 54.8 = 7.2, so therefore our answer is $7.20
At the 2010 Olympics in Vancouver, Yu-Na Kim scored 226.56 points in woman's figure skating. Akiko Suzuki scored 181.44 points in the event. About how many more points did Yu-Na Kim score than Akiko Suzuki?
Answer:
5 more matches was won by yu-na kim
explain why (a+b)^2 = a^2+b^2 if and only if a=0 or b=0
what is 174 dived by 6 and how u solved it
Answer:
Step-by-step explanation:
187 divided by 7 is 6.5
Answer: 29
Step-by-step explanation:
174 = dividend
6 = divisor
The divisor (6) goes into the first digit of the dividend (1), 0 time(s). Therefore, put 0 on top Multiply the divisor by the result in the previous step (6 x 0 = 0) and write that answer below the dividend. Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below.
Move down the 2nd digit of the dividend (7) like this:
0
6 ⟌ 1 7 4
- 0
1 7
Multiply the divisor by the result in the previous step (6 x 2 = 12) and write that answer at the bottom:
0 2
6 ⟌ 1 7 4
- 0
1 7
1 2
Subtract the result in the previous step from the number written above it. (17 - 12 = 5) and write the answer at the bottom.
0 2
6 ⟌ 1 7 4
- 0
1 7
- 1 2
5
Move down the last digit of the dividend (4) like this:
0 2
6 ⟌ 1 7 4
- 0
1 7
- 1 2
5 4
Multiply the divisor by the result in the previous step (6 x 9 = 54) and write the answer at the bottom:
0 2 9
6 ⟌ 1 7 4
- 0
1 7
- 1 2
5 4
5 4
Subtract the result in the previous step from the number written above it. (54 - 54 = 0) and write the answer at the bottom.
0 2 9
6 ⟌ 1 7 4
- 0
1 7
- 1 2
5 4
- 5 4
0
You are done, because there are no more digits to move down from the dividend.
The answer is the top number and the remainder is the bottom number.
Therefore, the answer to 174 divided by 6 calculated using Long Division is:
29
0 Remainder
Its long but your welcome :)
-31+(-42)=
38+(-43)=
Answer:
-31+(-42)= -31-42 = -73
38+(-43)= 38-43 = -5
(-) - (-) = +
(-)+(-) = +
(-)+(+) = -
YALL HELP OMG FOR ALL OF THEM MUST SHOW WORK ! 35POINTS MUST SHOW WORK FOR ALL.
Answer:
1) answer 3)88 students for 4 classes
10)answer=285parts
5 less than 3 times a number is 7. How would I write this as an equation
Answer:
The equation would be 5-3x=7
Step-by-step explanation:
5 less than indicates subtraction, and 3 times a number indicates both values being multiplied with each other, so it's 3x. Hope that helped.
How do you get 2.5 out of 20/8
9514 1404 393
Explanation:
If you can't operate a calculator, perhaps you can do long division. The attachment shows the work for that.
__
[tex]\dfrac{20}{8}=\dfrac{5\cdot4}{2\cdot4}=\dfrac{5}{2}\\\\=\dfrac{5\cdot5}{2\cdot5}=\dfrac{25}{10}=2.5[/tex]
We assume that you know dividing by 10 moves the decimal point one place left.
is 2π greater than √44
9514 1404 393
Answer:
no
Step-by-step explanation:
2π ≈ 6.28
√44 ≈ 6.63
2π < √44
What is the 8th number in the arithmetic sequence 26, 31, 36, 41, 46...
Answer 61
Step-by-step explanation:
The answer is 61 bc the pattern is +5
Answer:
26, 31, 36, 41, 46, 51, 56, 61
the eighth number is 61.
Step-by-step expanation:
Ana sold $234,654 in sales. She earns a 14.5% commission on all sales. Find her commission.
Step-by-step explanation:
$334,654 ×14,5% = $34,024.83
therefore that is your answer
express 8% as a decimal fraction
Hello :D
The answer is 0.08
I hope this helps :)
how to round 11,295 to the nearest ten thousand?
Four friends want to share two large
pizzas equally. Each pizza is cut into
ten slices. How many slices will each
person get?
Answer: 5
Step-by-step explanation:
2 pizzas ten slices eatch, so 20 slices. 20 slices devided by 4 is five. :)
What is the mean, median and mode for...45,50,55,55,55,60,60,60,65,65,70?
Answer:
Mean = 58.18
Median = 60
Modes = 55 and 60
Step-by-step explanation:
To find the mean/average, add up all the numbers and divide the sum by the # of numbers there are (ex. there are 11 numbers so divide the sum by 11).
The median is the middle number of a set. In this case, the middle number is easy to see because the # of numbers is odd, but if it was even, just find the average of the two middle numbers.
The mode is/are the most frequent number(s) in the set. In this set, the numbers that appear the most are 55 and 60.