Answer:
\(3\sqrt7\)
Step-by-step explanation:
This is because you can split 63 into two numbers, \(\sqrt{9}\) and \(\sqrt{7}\). When you simplify \(\sqrt{9}\) turns into 3 but \(\sqrt{7}\) will not simplify further so it will be \(3\sqrt{7}\).
In one school year, the students spent a total of 840 hours in their classes. If they have EIGHT different classes, how many hours will
they spend in THREE of those classes?
Answer:
280 hours
Step-by-step explanation:
15.7 x 102 = ___
1.57
15.7
157
1,570
\(15.7 \times 102 = 157\)
PLEAEEE HELPP!!
Find the measure of minor arc CG
Answer:
56
Step-by-step explanation:
56 would be the arc. reasoning is because line CG form an arch of 56 and Angle A and C also form a angle of 34
How do you multiply 2.8 x 4.6 2x4 is 8 and 8x4 is equal to 32 but why is it not 8.32?
Answer:
well, you ignored the 6 altogether, so that's not good. But you've almost got the right idea for 2.8 x 4.
it's just a matter of decimal points.
0.6 is 6 ÷ 10, right?
so if you want to say 8x4 is 32, that's cool but what about the 10?
use it now,. 32 ÷ 10 = 3.2
8 + 3.2 = 11.2
yeah-ya...... right?
Mr. Bernard needs to order boxes for his 18-inch diameter "Super Pizza."
What is the approximate circumference of the Super Pizza? Use 3.14 for π. Show your work.
What is the approximate area of the Super Pizza? Use 3.14 for π. Show your work.
Please help and hurry!! Ty!!
Answer:
a) Circumference of the circle = 56.52 in
b) Area of the circle = 254.34 in²
Step-by-step explanation:
Mr. Bernard needs to order boxes for his 18-inch diameter "Super Pizza."
Note that:
Pizza is Circular in shape
a) What is the approximate circumference of the Super Pizza? Use 3.14 for π. Show your work.
The formula for the circumference of a circle when given that diameter = πD
Where D = Diameter of the circle = 18 in
π = 3.14
Hence,
Circumference of the circle = 3.14 × 18 in
= 56.52 in
b) What is the approximate area of the Super Pizza? Use 3.14 for π. Show your work.
The formula for the area of a circle = πr²
Radius = Diameter/2
Diameter = 18 in
Radius = 18 in/2 = 9 in
The area of the circle = 3.14 × 9²
= 254.34 in²
convert the given system to an augmented matrix. 2x1 x2 = 2 −x1 − x2 − x3 = 6. Find all solutions by reducing the system to echelon form and back substituting. (If there are an infinite number of solutions use s1
as your parameter
The solution to the system is x1 = -4, x2 = 10.
What is the solution to the system?
A solution to a system of equations is a set of values for the variable that satisfy all the equations simultaneously. In order to solve a system of equations, one must find all the sets of values of the variables that constitute solutions to the system. (5, 4) is a solution of the first equation, but not the second.
The given system can be converted to an augmented matrix as follows:
[ 2 1 | 2 ]
[-1 -1 -1 | 6 ]
To find all solutions, we will reduce the system to echelon form and back substitute.
Step 1: Echelon Form
We can perform row operations to reduce the matrix to echelon form:
[ 2 1 | 2 ] R1 = R1 * 1/2
[-1 -1 -1 | 6 ]
[ 1 1/2 | 1 ] R2 = R2 + R1
[ 0 -3/2 -1 | 5 ]
Step 2: Reduced Row Echelon Form
Next, we can perform additional row operations to reduce the matrix to a reduced row echelon form:
[ 1 1/2 | 1 ] R2 = R2 * 2
[ 0 1 | 10 ]
The reduced row echelon form of the matrix represents the system of equations in a simplified form and the solution to the system can be obtained by back substituting.
Step 3: Back Substituting
x2 = 10
x1 = 1 - 1/2 x2 = 1 - 1/2 * 10 = 1 - 5 = -4
Therefore, the solution to the system is x1 = -4, x2 = 10.
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2. Find the value of x in the figure. Examples 3-4)
100°
x
12. If the point (3, -4) is rotated 90°
counterclockwise about the origin, what
are the new coordinates?
A. (-4,-3)
B. (4,3)
C. (-3,4)
D. (3,-4)
Answer:
(4,3)
Step-by-step explanation:
___% of 25 = 15
Pls help-
Answer: 60%
Step-by-step explanation: i hope it helps.
Answer:
60%
Step-by-step explanation:
Andy participated in a neighbor’s garage sale. He sold 3 items: a picture frame for $8.50, a teapot for $3.75, and a set of 6 cups for $4.75. Andy paid the neighbor 10% of his earnings for allowing him to participate in the sale. What were Andy’s earnings after he paid the neighbor the 10%?
Answer:
$16.90
Step-by-step explanation:
Answer:
$16.90
Step-by-step explanation:
How many terms are in this expansion? terms.
There are 8 terms in the expansion of \((3y^2 - 4z)^7\)
The binomial expression is given as:
\((3y^2 - 4z)^7\)
The number (n) of terms in a binomial expansion that has a power of m is
\(n = m + 1\)
The degree of the expression \((3y^2 - 4z)^7\) is 7.
So, the number of terms is calculated as follows
\(n =7 + 1\)
Add 7 and 1
\(n =8\)
Hence, there are 8 terms in the expansion of \((3y^2 - 4z)^7\)
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Answer:
16 terms
Step-by-step explanation:
just is
How do I do this (with steps is preferred):
Suppose you know that x = -2 is a zero of p(x) = 4x^3 + 10x^2 - 6x - 20. Use synthetic division to factor the polynomial and find the remaining zeros.
The remaining zero of the polynomial 4x³ + 10x² - 6x - 20 is the quotient 4x² + 2x - 10 derived using synthetic division.
How to calculate for the zero of the polynomial using the synthetic divisionThe polynomial p(x) = 4x³ + 10x² - 6x - 20 having a zero x = -2 implies that x + 2 is a factor and has another factor derived by dividing p(x) = 4x³ + 10x² - 6x - 20 by x + 2.
we shall derive the other factor using the synthetic division as follows;
divide the first term 4x³ of the polynomial by x (of x + 2) to give 4x²,
multiply x + 2 by 4x² to give 4x³ + 8x²
then subtract 4x³ + 8x² from 4x³ + 10x² - 6x - 20 to give 2x² - 6x - 20
divide 2x² (of 2x² - 6x - 20) by x (of x + 2) to give 2x
multiply x + 2 by 2x to give 2x² + 4x
then subtract 2x² + 4x from 2x² - 6x - 20 to give -10x - 20
divide 10x (of -10x - 20) by x (of x + 2) to give -10
multiply x + 2 by -10 to give -10x - 20
then subtract -10x - 20 from -10x - 20 to give a remainder of zero.
Hence, the results 4x², 2x, and -10 are the terms of the quotient 4x² + 2x - 10 and forms the remaining zeros of the polynomial p(x) = 4x³ + 10x² - 6x - 20.
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a tank initially contains 100 gal of a salt-water solution containing 0.05 lb of salt for each gallon of water. at time zero, pure water is poured into the tank at a rate of 3 gal per minute. simultaneously, a drain is opened at the bottom of the tank that allows the salt-water solution to leave the tank at a rate of 2 gal per minute. what will be the salt
The amount of salt in the tank after 10 minutes is 4.5 lbs.
The initial amount of salt in the tank is 100 * 0.05 = 5 lbs.
The amount of salt that leaves the tank each minute is 2 * 0.05 = 0.1 lbs.
The amount of salt that enters the tank each minute is 0 lbs.
Therefore, the net amount of salt in the tank is decreasing by 0.1 lbs per minute.
If we let t be the number of minutes, then the amount of salt in the tank at time t is given by
salt = 5 - 0.1t
To find the amount of salt in the tank after 10 minutes, we can set t = 10 and evaluate the expression. This gives us
salt = 5 - 0.1 * 10 = 4.5 lbs
Therefore, the amount of salt in the tank after 10 minutes is 4.5 lbs.
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A bag of flour weighs 5 pounds. There are 435.5 grams in a 1 pound. How may grams of flour are in the bag?
Step-by-step explanation:
435.5 X 5 = 2177.5 g are in the bag
scrap metal buyer pays $3.18 Per square foot of steel. how much can you earn by selling the steel drum below? round your answer to the nearest dollar.
Answer:
79.82
(Rounded to the nearest dollar 80)
Step-by-step explanation:
Surface area of Cylinder:
Circle:
π\(r^{2}\)=
1π = π
so since there are 2 circles it is 2π
Rectangle:
length*width=
3*Circumference
3*(2π)=
6π
Add them all together:
2π + 6π = 8π
≈ 8*3.14
so the answer is approximately 79.82
Hope this helps :)
What is 0.47 expressed as a fraction in simplest form?
(SHOW WORK)
Answer: 0.47 is equal to 47/100
Step-by-step explanation:
1.00=100 Is like pennies, if you have a hundred of them you have 1 dollar but since there’s only 47 it’s out of a hundred
Answer:
0.47 as a fraction equals 47/100
Step-by-step explanation:
Write 0.47 as
Multiply both the numerator and denominator by 10 for each digit after the decimal point.
\(\frac{0.47}{1}\) = \(\frac{0.47 x 100 } {1x100}\) = \(\frac{47}{100}\)
So, 0.47 as a fraction in simpliest form equals 47/100
3. Jessie is looking for the volume of the cone
below, and she is using the formula V = (1/3)Bh.
Which of the following is the value of “B”?
Answer:
A
Step-by-step explanation:
The base is the circle.
To find the area of the circle, use pi*r^2
pi = 3.14
r = 6
Area = 3.14 * 6^2Area = 3.14 * 36Area = 113.04Answer:
C. 414.48
Step-by-step explanation:
1/3 x 3.14 x 6² x 11 = 4.14.48
what is the value of the mean of a standard normal distribution? what is the value of the standard deviation of a standard normal distribution?
The mean of a standard normal distribution is zero (0). The standard deviation of a standard normal distribution is one (1).
A standard normal distribution is a special case of the normal distribution with a mean of zero and a standard deviation of one. It is a commonly used probability distribution in statistics, and its properties make it easy to standardize and compare different normal distributions. The value of the mean of a standard normal distribution is zero.
The standard normal distribution is important in hypothesis testing, confidence intervals, and calculating Z-scores. The value of standard deviation of a standard normal distribution is one.
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WILL REWARD BRAINLIEST PLS HELP ASAP Find the total surface area.
The surface area of the rectangular prism is 88 square inches.
Given that:
Length, L = 6 inches
Width, W = 2 inches
Height, H = 4 inches
Let the prism with a length of L, a width of W, and a height of H. Then the surface area of the prism is given as
SA = 2(LW + WH + HL)
SA = 2(6 x 2 + 2 x 4 + 4 x 6)
SA = 2 (12 + 8 + 24)
SA = 2 x 44
SA = 88 square inches
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Find the directional derivative of f (x, y, z) = 2z2x + y3 at the point (1, 2, 2) in the direction of the vector 1/5akar i + 1/5akar j
(Use symbolic notation and fractions where needed.) directional derivative:
ఊhe directional derivative of f at the point (1, 2, 2) in the direction of the vector v = (1/5√2)i + (1/5√2)j is 2√2.
To find the directional derivative of the function f(x, y, z) = 2z^2x + y^3 at the point (1, 2, 2) in the direction of the vector v = (1/5√2)i + (1/5√2)j, we can use the formula for the directional derivative:
D_v(f) = ∇f · v
where ∇f is the gradient of f.
Taking the partial derivatives of f with respect to each variable, we have:
∂f/∂x = 2z^2
∂f/∂y = 3y^2
∂f/∂z = 4xz
Evaluating these partial derivatives at the point (1, 2, 2), we get:
∂f/∂x = 2(2)^2 = 8
∂f/∂y = 3(2)^2 = 12
∂f/∂z = 4(1)(2) = 8
Therefore, the gradient ∇f at (1, 2, 2) is given by ∇f = 8i + 12j + 8k.
Substituting the values into the directional derivative formula, we have:
D_v(f) = ∇f · v = (8i + 12j + 8k) · (1/5√2)i + (1/5√2)j
= 8(1/5√2) + 12(1/5√2) + 8(0)
= (8/5√2) + (12/5√2)
= (8 + 12)/(5√2)
= 20/(5√2)
= 4/√2
= 4√2/2
= 2√2
Hence, the directional derivative of f at the point (1, 2, 2) in the direction of the vector v = (1/5√2)i + (1/5√2)j is 2√2.
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A jar contains 0.25 liter of apple juice and 0.30 liter of grape juice. Melissa poured 0.75 liter of pineapple juice into the jar. She then drank 0.20 liter of the mixture. Part A: Write an expression to represent the total amount of juice left in the jar. (5 points) Part B: Simplify the expression and identify which property is used in each step. (5 points)
Answer: Part A: 1.10 liter
Total amount of juice left = 0.25 + 0.30 + 0.75 - 0.20
Step-by-step explanation:
(original amount of juice + added juice) - juice that was drank = juice left in the jar
(0.25 + 0.30 + 0.75) - 0.20 =
1.30 - 0.20 =
1.10 left in jar
An inspector examines items coming from an assembly line. A review of her record reveals that she accepts only 8% of all defective items. It was also found that 1% of all items from the assembly line are both defective and accepted by the inspector. What is the probability that a randomly chosen item from this assembly line is defective? write your answer in decimals, not percentage. Do not round your answer.
The probability that a randomly chosen item from this assembly line is defective is 0.125.
How to calculate the probability?Probability simply means the likelihood of the occurence of an event.
From the information, the review of her record reveals that she accepts only 8% of all defective items and it was also found that 1% of all items from the assembly line are both defective and accepted by the inspector.
Therefore, the probability will be:
= Percentage of detectives / Percentage of defective accepted
= 1% / 8%
= 0.01 / 0.08
= 0.125
The probability is 0.125.
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For what value of x is line a parallel to line b?
Answer:
x = 22
Step-by-step explanation:
(4x + 28)° = 116° (corresponding angles)
4x + 28 = 116
4x = 116 - 28
4x = 88
x = 88/4
x = 22
For x = 22 line a parallel to line b.
A drawing of a triangle. The base equals 11 feet and the height equals 4 feet.
hellpppp
Answer:
if you are looking for the area, it would be 22ft
Step-by-step explanation:
Answer:
About 11.7
Step-by-step explanation:
In order to find the hypotenuse (if this is what you are looking for), you would use pythagorean theorem. This states : A squared + B squared = C squared. Our legs that you have given us (A and B) are 11 and 4. When we square these values, we get 121+16=137. Now we square the value of 137. To square the value, multiply numbers until you reach this number. Because the value 137 is odd, it will end up being a decimal when squared which is about 11.7
I also want to point out that all hypotenuse will be longer than the legs.
Match the following definitions with the correct term.
Answer:
that's biology but
Step-by-step explanation:
autotrophs make their owner food
heterotrophs can't make their own food
photosynthesis is the 3rd one
photosynthesis happens in the chloroplast
photosynthesis makes glucose
I can go in depth about any of these, ask me if needed
y=? what does this even meannnnn
The calculated measure of angle y is 60 degrees
How to calculate the value of yfrom the question, we have the following parameters that can be used in our computation:
The figure
From the figure, we can see that
The shape can be divided into two triangles such that
Each triangle is an equilateral triangle
The measure of an angle in an equilateral triangle is 60 degrees
using the above as a guide, we have the following:
y = 60
Hence, the value of y is 60 degrees
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PLEASE ANSWER ALL OF THESE 4 ME IM GIVING OUT BRAINLIEST AND 50 POINTS !!! D:
Answer and Step-by-step explanation:
1.
4 yards plus 8 yards equals 12 yards.
2 feet plus 2 feet equals 4 feet.
This totals to 12 yards and 4 feet.
2.
29 feet plus 5 feet equals 34 feet.
6 inches plus 5 inches equals 11 inches.
This totals to 34' 11".
3.
10:30AM
4.
0113
5.
1445
#teamtrees #PAW (Plant And Water)
Solve the following:
a) 3x+4/2 = 9.5
b) 7+2x/3= 5
Answer:
A) x=2.5
B) x=-3
Step-by-step explanation:
the probability distribution of all possible values of the sample mean is called the . select one: a. central probability distribution b. standard error c. sampling distribution of the sample mean d. random variation
The probability distribution of all possible values of the sample mean is called the sampling distribution of the mean.
What is meant by the sampling distribution of the mean?
An accurate probability distribution of a statistic is known as a sampling distribution, and it is created by repeatedly sampling a certain population. It depicts a spectrum of potential results for a statistic, such as the mean or mode of a variable, for a population.Why is sampling essential and what does it mean?
Sampling is the process of choosing a portion of the general population or a subset of social phenomena to be investigated. The primary goal of sampling is to make assumptions about the larger group based on data collected from the smaller group. The selection of a representative sample is the primary means of achieving this.Learn more about Probability
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Help me ill give yall 97 points good luck
Answer:
ok im not sure what ur asking but the square root of 625 is 25 the square root of 196 is 14 the square root of 961 is 31 and the square root of 100 is 10 hope this helped if not im sry
Step-by-step explanation: