Answer:
Step-by-step explanation:
-3x + 4y = -18
8x - 4y = 28
5x = 10
x = 2
4 - y = 7
-y = 3
y = -3
(2, -3)
The solution of the system of linear equations given is (2,-3), the correct option is C.
What is System of Linear Equation?The system of linear equation is set of equations which have a common solution.
The equations are
-3x+4y = -18
2x-y =7
The linear equations can be solved using substitution method
y = 2x -7 from equation 2 will be substituted in equation 1
-3x +4 ( 2x -7) = -18
-3x +8x -28 = -18
5x = 10
x = 2
y = 2 * 2 -7 = -3
To know more about System of Linear Equations
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A box of chocolates contains five milk chocolates and six dark chocolates. Mike randomly picks a chocolate and eat it. Then Mike randomly picks another chocolate and eats it. Determine the probability Mike eats two milk chocolates. Round to the hundredths place.
Group of answer choices
0.182
0.854
0.133
0.333
Answer:
0.182.
Step-by-step explanation:
There are a total of 11 chocolates in the box.
Prob(First chocolate picked is milk) = 5/11.
Prob(Second chocolate picked is milk) = 4/10 = 2/5.
So the required probability = 5/11 * 2/5
= 10/55
= 0.182.
Difference between-9°C and -21°C
Answer:
12
Step-by-step explanation:
21-9=12 hope this helps :)
It takes 6 hours to fill a pool with the inlet pipe. It can be emptied in 12 hours with the outlet pipe. If the pool is 2/3 full to begin with, how long will it take to fill it from there if both pipes are open?
Answer:
4 hours
Step-by-step explanation:
The least common multiple of 6 and 12 is 12. So let's assume the pool has a volume of 12 units.
The inlet pipe fills the pool at a rate of 12 units / 6 hours = 2 units per hour, and the outlet pipe drains the pool at a rate of 12 units / 12 hours = 1 unit per hour.
In total, water is added at a rate of 2 units/hr − 1 unit/hr = 1 unit/hr.
The pool is 2/3 full to begin with, so there's already 8 units of water in the pool, which leaves 4 units empty. At a rate of 1 unit/hr, it takes 4 hours to fill the pool.
Find the missing dimension of the cylinder. Round your answer to the nearest whole number.
Please help!
Answer:
4 in to the nearest whole number.
Step-by-step explanation:
Volume of a cylinder = π r^2 h
Here Volume = 25 in^3 and r = 1/2 * 3 = 1.5 in.
So: 25 = π * 1.5^2 * h
25 = 2.25π h
h = 25 / 2.25π
h = 3.54 in
LOOK AT MY RECENT GIVING 100 POINTS
Answer:
ok
Step-by-step explanation:
Answer:
As you say
Step-by-step explanation:
Mr.Lipps flips a coin 20 times how many times can he expect heads
Answer:
Mr. Lipps would expect it to land on heads 10 times
Step-by-step explanation:
hope this helps :)
(X-2)2+(y-3)2=16
X+y-1=0
Answer:
1. x=13
2.x=1
Step-by-step explanation:
Kendra is building a back yard fence two of the sides are 43ft, and the other two sides are 57ft. How much fencing does Kendra needs.
Answer: 200ft
Step-by-step explanation:
43+43+57+57=200
A line with a slope of -7 passes through the points (10,v) (9,4) What is the value of V?
Answer:
-3
Step-by-step explanation:
An increase in x-value from 9 to 10 is an increase of 1 unit. The slope of -7 tells you that the corresponding change in y will by -7 units:
v = 4 -7 = -3
The value of v is -3.
_____
Alternate solutions
You can see this easily on a graph, or you can use the equation of the line. We have a point and a slope, so the point-slope form is useful.
y = m(x -h) +k
y = -7(x -9) +4
For x=10, the value of y is ...
v = -7(10 -9) +4 = -7 +4
v = -3
What is the base higher and area
Answer:
5
8
20
Step-by-step explanation:
Answer:
Base: 6 units. Height: 4 units. Area: 24 units.
Step-by-step explanation:
To find the base of the parallelogram, it is literally the bottom line of the parallelogram. In this case, it is the line below the x-axis that is also parallel to it. To find the length of the base line, just count the squares between both ends of the line. There are 6 squares, so the base is 6 units long. To find the height of the parallelogram, you count the squares (units) between the bottom and top lines of the parallelogram, both parallel to the x-axis. There are 4 squares between the lines, so the height of the parallelogram is 4 units. To find the area of a parallelogram, multiply the base by the height. 6 * 4 = 24, so the area of the parallelogram is 24 units.
what is the value of (8 - 4)!?
Answer:
[tex]=24[/tex]
Step-by-step explanation:
[tex]\left(8-4\right)!\\\mathrm{Subtract\:the\:numbers:}\:8-4=4\\=4!\\\eq \mathrm{Apply\:factorial\:rule}:\quad \:n!=1\cdot 2\cdot 3\cdot \ldots \cdot \:n\\4!=1\cdot \:2\cdot \:3\cdot \:4\\=1\cdot \:2\cdot \:3\cdot \:4\\\mathrm{Multiply\:the\:numbers:}\:1\cdot \:2\cdot \:3\cdot \:4=24\\=24[/tex]
The required value of factorial (8 - 4)! is given as 24.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
As given in the question,
= (8 - 4)!
Simplifying the above expression,
= 4!
= 4 × 3 × 2 × 1
= 24
Thus, the required value of factorial (8 - 4)! is given as 24.
Learn more about simplification here:
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Do you remember the difference between a row and a column
in Math?
Answer:
Rows are the steps - they go left to right and are numbered 1,2,3,... Columns are the columns - they go up and down and are lettered A,B,C,... Cells are defined by the row and column they are in.
Step-by-step explanation:
Write the equation of a line that is parallel to {x=8}x=8x, equals, 8 and that passes through the point {(-3,-2)}(−3,−2)left parenthesis, minus, 3, comma, minus, 2, right parenthesis.
Answer:
x = -3
Step-by-step explanation:
The line parallel to x=8 is another vertical line:
x = constant
To make it go through a point with an x-coordinate of -3, the constant must be -3.
Your line is ...
x = -3
Answer:
x=-3
Step-by-step explanation:
khan
Find the volume of a pyramid with a square base, where the perimeter of the base is
10.1
ft
10.1 ft and the height of the pyramid is
13.4
ft
13.4 ft. Round your answer to the nearest tenth of a cubic foot.
9514 1404 393
Answer:
28.5 ft³
Step-by-step explanation:
The side length of the base is 1/4 of the perimeter, so is ...
s = (10.1 ft)/4 = 2.525 ft
The area of the square base is the square of the side length, so is ...
B = s² = (2.525 ft)² = 6.375625 ft²
The volume is given by ...
V = 1/3Bh . . . . . where h is the height
V = 1/3(6.375625 ft²)(13.4 ft) ≈ 28.4778 ft³
The volume of the pyramid is about 28.5 ft³.
The speed of light is 3 x 108 m/s. If its frequency is 4.11 x 104 Hz, what's is its wavelength.
PLZZ HELP PLZZ ill give thanks n more :(
Wave length = speed / frequency
Wave length = 3x10^8 / 4.11x10^4
Wave length = 7.299x10^3nm
Is an estimate of 28,000 over under the actual peoduct of 360 68? How can you tell
Answer:
Over Estimate of the actual product.
Step-by-step explanation:
360*68= 24,480
The estimate of 28,000 is larger than the actual product 360 and 68 which is 24480, which means that the estimate is an over estimate (an over estimate means that the number you estimated is bigger than the actual number, and an under estimate is when the estimate is smaller than the actual number, Just FYI)
· Find (f • g)(x).
f(x) = 3x
g(x) = 5x
Write your answer as a polynomial in simplest form.
(fog)(x) =
The expression of (fog)(x) in the simplest form is [tex](fog)(x)=15x[/tex] and this can be determined by using the arithmetic operations.
Given :
[tex]f(x) = 3x\\g(x) = 5x[/tex]
The following steps can be used in order to determine the expression of (fog)(x):
Step 1 - Write the given function.
[tex]f(x) = 3x\\g(x) = 5x[/tex]
Step 2 - Now, replace 'x' by g(x) in order to determine the expression of (fog)(x).
[tex](fog)(x)=3\;g(x)[/tex]
[tex](fog)(x)=3\times 5x[/tex]
Step 3 - Simplify the above expression.
[tex](fog)(x)=15x[/tex]
The expression of (fog)(x) in the simplest form is [tex](fog)(x)=15x[/tex].
For more information, refer to the link given below:
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I need three dollars seventy-eight cents more to buy a pair of tennis shoes. The tennis shoes cost eight dollars less the one hundred thirty dollars. How much money do I have presently?
Answer:
$118.22
Step-by-step explanation:
Subtract $130.00-$8.00= $122.00
Then subtract $122.00- $3.78 = $118.22
Answer:$118.22
Step-by-step explanation:
the tennis shoes costs 8 dollar less than 130 dollars
Tennis shoes cost=130-8=122
Tennis shoes cost $122
I need $3.78
My money presently=122-3.78
My money presently=$118.22
how do I simplify this
Answer:Use Distributive property
Prob-4 Pressurized air are being used in a manufacturing company in its daily operation. There are three compressors in service; two-screw type compressors, (S1 ,S2) and one-reciprocal type compressor,(R). Each compressor, at any given time, is either off (0), or on (1) . Assume that event A is denoted to reciprocal compressor (R) that is always off . Event B is denoted that at least one of the screw type of compressor is always on. Assume that all outcomes in event B are equally likely. If P(A∩B)=45% and P(A∪B)=93%. Compute the probability that all compressors are off
Answer:
The probability that all compressors are off = P(A ∩ B') = 0.18
Step-by-step explanation:
Event A is denoted to reciprocal compressor (R) that is always off.
Event B is denoted that at least one of the screw type of compressor is always on.
P(A) = Probability that the reciprocal compressor is off.
P(A') = Probability that the reciprocal compressor is on.
P(B) = Probability that at least one of the screw type of compressor is on.
P(B') = Probability that at least one of the screw type of compressor is off.
P(A ∩ B) = 45% = 0.45
P(A ∪ B) = 93% = 0.93
P(U) = P(A ∪ B) + P(A' ∩ B')
1 = 0.93 + P(A' ∩ B')
P(A' ∩ B') = 1 - 0.93 = 0.07
The probability that all compressors are off is given as P(A ∩ B')
P(A) = P(A n B') + P(A n B)
P(B) = P(A n B) + P(A' n B)
The question asks us to assume that all outcomes in event B are equally likely.
The possible outcomes in event B include
- The two compressors are on
- First compressor is on, second compressor is off
- Second compressor is on, first compressor is off
- both compressors are off
Since all the outcomes are equally likely, the probability that at least one of the two compressors is on = (3/4) = 0.75 = P(B)
P(B) = P(A n B) + P(A' n B)
0.75 = 0.45 + P(A' n B)
P(A' n B) = 0.75 - 0.45 = 0.30
P(A ∪ B) = P(A ∩ B') + P(A' ∩ B) + P(A ∩ B)
0.93 = P(A ∩ B') + 0.30 + 0.45
P(A ∩ B') = 0.93 - 0.30 - 0.45 = 0.18
Hope this Helps!!!
What is the y-intercept of the graph of the function f(x) = x2 + 3x + 5?
0 (0,-5)
0 (0, -3)
O (0,3)
0 (0,5)
Answer:
(0,5)
Step-by-step explanation:
f(x) = x^2 + 3x + 5
The y intercept is when x =0
f(0) = 0 + 3*0 + 5
f(0) = 5
(0,5)
A random sample of n = 45 observations from a quantitative population produced a mean x = 2.5 and a standard deviation s = 0.26. Your research objective is to show that the population mean μ exceeds 2.4. Calculate the p-value for the test statistic z = 2.58. (Round your answer to four decimal places.)
Answer:
P-value (t=2.58) = 0.0066.
Note: as we are using the sample standard deviation, a t-statistic is appropiate instead os a z-statistic.
As the P-value (0.0066) is smaller than the significance level (0.05), the effect is significant.
The null hypothesis is rejected.
There is enough evidence to support the claim that the population mean μ exceeds 2.4.
Step-by-step explanation:
This is a hypothesis test for the population mean.
The claim is that the population mean μ exceeds 2.4.
Then, the null and alternative hypothesis are:
[tex]H_0: \mu=2.4\\\\H_a:\mu> 2.4[/tex]
The significance level is 0.05.
The sample has a size n=45.
The sample mean is M=2.5.
As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=0.26.
The estimated standard error of the mean is computed using the formula:
[tex]s_M=\dfrac{s}{\sqrt{n}}=\dfrac{0.26}{\sqrt{45}}=0.0388[/tex]
Then, we can calculate the t-statistic as:
[tex]t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{2.5-2.4}{0.0388}=\dfrac{0.1}{0.0388}=2.58[/tex]
The degrees of freedom for this sample size are:
[tex]df=n-1=45-1=44[/tex]
This test is a right-tailed test, with 44 degrees of freedom and t=2.58, so the P-value for this test is calculated as (using a t-table):
[tex]P-value=P(t>2.5801)=0.0066[/tex]
As the P-value (0.0066) is smaller than the significance level (0.05), the effect is significant.
The null hypothesis is rejected.
There is enough evidence to support the claim that the population mean μ exceeds 2.4.
3.
(07.06)
Which of the following graphs shows all the possible values for a number that is less than 7? (3 points)
Number line with closed circle on 7 and shading to the left.
Number line with closed circle on 7 and shading to the right.
Number line with open circle on 7 and shading to the left.
Number line with open circle on 7 and shading to the right.
Answer:
Number line with open circle on 7 and shading to the left
Step-by-step explanation:
Since 7 is not included in "a number less than 7", the circle at 7 is an open circle.
Numbers less than 7 are to the left of 7 on the number line, so the shading will be in that direction.
Number line with open circle on 7 and shading to the left
Answer:
The third one
Number line with open circle on 7 and shading to the left.
Step-by-step explanation:
I took the test, and I got this right
Determine the value of x for the triangle. show work.
Answer:
x=5
Step-by-step explanation:
x, x+7, x+8 must be a Pythagorean triple for it to make a right triangle. The only Pythagorean triple fitting these numbers is 5, 12, 13 so x must be 5.
Answer:
5
Step-by-step explanation:
Because this is a right triangle, you know that by the Pythagorean theorem:[tex]\sqrt{(x+7)^2+x^2}=x+8[/tex]
Squaring both sides to get rid of the square root:
[tex](x+7)^2+x^2=(x+8)^2[/tex]
Expanding all of the parentheses:
[tex]x^2+14x+49+x^2=x^2+16x+64[/tex]
Combine like terms:
[tex]x^2-2x-15=0[/tex]
Factor:
[tex](x-5)(x+3)=0[/tex]
Since x cannot be negative, it is equal to 5. Hope this helps!
When a number is increased by 84%, the result is 72. What is the original number to the nearest tenth?
Find the first, fourth, and eighth terms of the sequence.
A(n) = −2 ∙ 5x − 1
Answer:
lemme think brb
Step-by-step explanation:
Answer:
–50; –6,250; –3,906,250
Step-by-step explanation:
if each of the 4 shelves holds 14 movies, how many movies does betty have on her shelving unit? show your work
copy paste this
4x + 6
4(14) + 6 (substituting x = 14)
56 + 6
62
Find the area of the quadrilateral SHOW WORK
Answer:
area of parallelogram= length of base × perpendicular height
8.7×4.9
= 42.63mm²
Write
22
−
1
4
in surd form
Answer:
Surd mode??
Step-by-step explanation:
Aight so I know the answer is 105° but idk how someone got that answer. Could you help?
Firstly we need to find m<DNY
m<DNY=(60+90)÷2=75
N9w we can find m<KNY
m<KNY+m<DNY=180°(Because these are adjacent corners)
m<KNY+75°=180°
m<KNY=180°-75°
m<KNY=105°
