The expression for The density d of an object is the quotient of its mass m and it’s volume v
\(d=\frac{m}{v}\)
Given :
The statement is the density d of an object is the quotient of its mass m and it’s volume v
Lets translate the given statement into formula
Given density is 'd'
Quotient is the division. Quotient of mass 'm' and volume 'v' is , m divide by v
the quotient of its mass m and it’s volume v
\(\frac{m}{v}\)
the density d of an object is the quotient of its mass m and it’s volume v
Formula is
\(d=\frac{m}{v}\)
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Plentiful Pies determines its annual profits
in dollars using p(x) = 65x - 0.3x2 where x
represents the numbers of pies sold. If Plentiful
Pies sells 175 pies in a year, what will their
annual profits be?
Answer:
The annual profits will be 2187.5
Step-by-step explanation:
p(x) = 65x - 0.3x^2
I am guessing that the 2 was supposed to be a square.
Simply plug in the number of pies sold:
p(175) = 65(175) - 0.3(175)^2 = 11375 - 0.3*30625 = 11375 - 9187.5 = 2187.5
Help me solve this ASAP please
Answer:
A: (-8,-2)
B: (-8,8)
C: (6,8)
D: (6,-2)
Step-by-step explanation:
First find coordinates of pre image.
Pre image coordinates:
A: (-4,-1)
B: (-4,4)
C: (3,4)
D: (3,-1)
To find the coordinates of a dilated image we simply multiply the x and y values of each coordinate by the scale factor (2)
Dilation being applied
A (-4,-1) ------> (-4*2,-1*2) --------> (-8,-2)
B (-4,4) -------> (-4*2,4*2) --------> (-8,8)
C (3,4) -------> (3*2,4*2) ----------> (6,8)
D (3,-1) -------> (3*2,-1*2) ----------> (6,-2)
So the coordinates of the image after a dilation with a scale factor of 2 are A'(-8,-2), B'(-8,8), C'(6,8) and D'(6,-2)
Find the surface area of the square pyramid. Enter your answer in the box.
10 cm
11 cm
11 cm ..
Answer: 122 cm²
Step-by-step explanation:
The scatter plot below shows nine points from a data set. 12.0 10.8 9.6 8.4 7.2 6.0 4.8 3.6 2.4 1.2 ● 0 1 2 3 4 5 6 7 8 9 10
A 4,4,5,5,6,6
b 4,10,4,11,4,12
C8,9,8,10,8,11
D10,10,10,11,10,12
Answer:
Therefore, based on the given scatter plot, the set of numbers that matches the points is C. 8,9,8,10,8,11.
Step-by-step explanation:
The scatter plot shown represents a set of nine points on a coordinate plane. Each point consists of an x-coordinate and a y-coordinate. To determine which set of numbers corresponds to the scatter plot, we need to analyze the pattern in the given points.
Looking at the scatter plot, we observe that the x-coordinates range from 0 to 10 with an increment of 1, while the y-coordinates seem to vary.
Now let's examine the given answer choices:
A. .4,4,5,5,6,6
B. .4,10,4,11,4,12
C. 8,9,8,10,8,11
D. 10,10,10,11,10,12
Set C (8,9,8,10,8,11) among these answer choices matches the pattern observed in the scatter plot. The x-coordinates in the scatter plot range from 0 to 10, and the y-coordinates correspond to the numbers provided in set C.
Therefore, based on the given scatter plot, the set of numbers that matches the points is C.
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When finding the margin of error for the mean of a normally distributed population from a sample, what is alpha, assuming a confidence level of 74%?
The value of α = 0.26 finding by using normal distribution.
What is a normal distribution?A normal distribution is an arrangement of a data set in which most values cluster in the middle of the range and the rest taper off symmetrically toward either extreme.
Given that,
confidence level = 74%
alpha = ?
The significance level α is the probability of making the wrong decision when the null hypothesis is true. Alpha levels which is also called as significance levels are used in hypothesis tests.
Mathematically, the value of α is determined by subtracting the level of confidence from 1, and then writing the result as a decimal.
As the confidence level is given as 74%, so the significance level would be,
α = 1 - confidence level
= 1 - 0.74
α = 0.26
Hence, The value of α = 0.26.
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The equation represents the area, A, of a rectangle, in square units.
A = x2 – 3 – 6
Which expression could represent the length of the rectangle, in units?
O (2-3)
O (2-2)
Ox
O 6.2
Look up "Everything You Need To Know About Math In One Big Fat Notebook pdf." It's the best thing I've ever been given, I have it with me in math class all the time and I've aced every test.
Royce took out a 3 year loan to purchase a car at 4.5% simple interest. If he pays $405 in interest, how much principal did he borrow?
Answer:
Royce took out a 3 year loan to purchase a car at 4.5% simple interest. If he pays $405 in interest, how much principal did he borrow?
Answer:
Solution here,
Principal=?
Time =3 year
Rate of percent= 4.5
SIMPLE intrest=$405
Now
Principal=(SIMPLE INTREST × 100)/(TIME × RATE)
=$40500/13.5
=$3000
If a wind turbine's blades reach 20 feet in diameter and makes 4 revolutions, how far would one blade travel from start to end?
Answer:
https://mmpa.org/wp-content/uploads/2015/09/Tip-Speed-Ratio-Provided-by-Kid-Wind-PDF.pdf
check this out - - it might help!
Step-by-step explanation:
Ok I need to know how to simplify Thanks
Dimitri
ex: 5/25=1/5
5 divided by 5 is and 25 divided by 5 is 5.
1.Write down the factors for the numerator(top number) and the denominator(the number down below).
2.Find the largest factor that is common between the two.
3.Divide the numerator and denominator by the greatest common factor.
4.Write down the reduced fraction.
Hope this helps
he exponential expression 28 has a value of 256. Write two other exponential expressions that have a value of 256. Explain how you got your answers. (Begin by writing out 2 8as the product of 2s.)
Answer:
Two other exponents that results in 256 are \(16^2\) and \(4^4\)
Step-by-step explanation:
Given
\(2^8 = 256\)
Required
Write two exponential expression that equals 256
\(2^8 = 256\)
Expand 8 as 4 * 2
\(2^{4*2} = 256\)
Using laws of indices, we have
\((2^4)^2 = 256\)
2⁴ = 16; So, we have
\(16^2 = 256\) --- This is one
Recall that
\(2^{4*2} = 256\)
This can also be rewritten as
\(2^{2*4} = 256\)
Using laws of indices, we have
\((2^2)^4 = 256\)
2² = 4; So, we have
\(4^4 = 256\) --- This is another one
Hence, two other exponents that results in 256 are \(16^2\) and \(4^4\)
Which of the following sets of numbers could not represent the three sides of a
triangle?
O {11, 22, 31}
O {8, 11, 16}
O {6,20,27}
O {11, 20, 29}
Answer:
C
Step-by-step explanation:
The third one down. There are two ways you know this.
1. If you had two boards that where 6 cm and 20 cm and tried to make a triangle with the third side = 27, the two little boards would lie flat on the 27 cm board.
2. The other three answers all make the smaller two sides larger than the third larger side.
C
5. Brian's cylindrical water tank has a diameter of 4m and a height of 2m.
i) Find the volume of the tank (to the nearest litre)
ii)Find the depth of the water in the tank when it has 2000L of water (to the nearest
centimeter)
Answer:
i) 25130 Liters
ii) 16 cm
Step-by-step explanation:
The volume of the tank is in cubic meters, not liters. So the answer to question i) would be 25.13 cubic meters, which equals 25130 Liters.
ii) Now we find the depth. 2000 is 7.959% of 25130. 7.959% of the 2 meter height is 15.917 cm. Rounded to the nearest cm, it would be 16 cm.
pls help i am speedrunning overdues rn
The amount of soil needed to fill the garden box is given as follows:
1728 ft³.
How to obtain the volume of a rectangular prism?The volume of a rectangular prism, with dimensions defined as length, width and height, is given by the multiplication of these three defined dimensions, according to the equation presented as follows:
Volume = length x width x height.
The figure in this problem is composed by two prisms, with dimensions given as follows:
19 ft, 12 ft and 6 ft.10 ft, 3 ft and 12 ft.Hence the volume is given as follows:
V = 19 x 12 x 6 + 10 x 3 x 12
V = 1728 ft³.
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Between which two numbers is √8 located on a number line?
Answer:
√8 is between 2 and 3.
Step-by-step explanation:
♡ im sorry if its wrong ♡
The first two steps in determining the solution set of the system of equations, y = x2 – 6x + 12 and y = 2x – 4, algebraically are shown in the table.
Which represents the solution(s) of this system of equations?
(4, 4)
(–4, –12)
(4, 4) and (–4, 12)
(–4, 4) and (4, 12)
Answer:
(4,4)
Step-by-step explanation:
The solution set of the system of equations can be found by setting the two equations equal to each other and solving for x.
x^2 - 6x + 12 = 2x - 4
x^2 - 8x + 16 = 0
(x - 4)^2 = 0
x = 4
Since both equations in the system are equal to y, we can substitute x = 4 into either equation to find the corresponding value of y.
y = 2x - 4 = 2(4) - 4 = 4
Therefore, the solution of this system of equations is (4, 4).
Therefore, the correct answer is (4, 4).
i need help with this
Answer:
27
Step-by-step explanation:
whats the question. I just added both the numbers for free points. Thanks you S H M U C K.
How do you identify a polynomial identity?.
We can identify a polynomial identity by applying algebraic identities of polynomials and principles, it is possible to prove polynomial identities by simplifying identity.
Define polynomial.In particular, an expression must not contain any square roots of variables, any fractional or negative powers on the variables, and any variables in any fractions' denominators in order to qualify as a polynomial term. A sizable subset of algebraic expressions are polynomials. Polynomials are any expressions where the powers of the variables are all whole numbers. They frequently have a wide range of applications since they encompass such a sizable portion of all algebraic expressions.
Given,
We can identify a polynomial identity by,
Whatever the values given to the variables, the equation for the polynomial identity is always true. By applying algebraic identities of polynomials and principles, it is possible to prove polynomial identities by simplifying identity. When factorizing or extending a polynomial, we can employ polynomial identities to our advantage.
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How many extraneous solutions does the equation below have?(2m)/(2m+3)-(2m)/(2m-3)=10123
Both solutions satisfy the original equation. As a result, there are no extraneous solutions in this case.
To determine the number of extraneous solutions in the given equation, let's simplify it step by step:
Step 1: Let's find the common denominator for the two fractions on the left side of the equation. The common denominator is (2m + 3)(2m - 3).
Step 2: Apply the common denominator to both fractions:
[(2m)(2m - 3)]/[(2m + 3)(2m - 3)] - [(2m)(2m + 3)]/[(2m + 3)(2m - 3)] = 1
Step 3: Simplify the numerators:
\([4m^2 - 6m - 4m^2 - 6m]/[(2m + 3)(2m - 3)] = 1\)
[-12m]/[(2m + 3)(2m - 3)] = 1
Step 4: Cancel out common factors:
-12m = (2m + 3)(2m - 3)
\(-12m = 4m^2 - 9\)
Step 5: Rearrange the equation:
\(4m^2 + 12m - 9 = 0\)
Step 6: Solve the quadratic equation using factoring, completing the square, or using the quadratic formula. Let's use the quadratic formula:
\(m = (-b ± √(b^2 - 4ac))/(2a)\)
For our equation, a = 4, b = 12, and c = -9. Substituting these values:
m = (-(12) ± √((12)^2 - 4(4)(-9)))/(2(4))
m = (-12 ± √(144 + 144))/(8)
m = (-12 ± √288)/8
m = (-12 ± 12√2)/8
Simplifying further:
m = (-3 ± 3√2)/2
So, we have two potential solutions for m:
m = (-3 + 3√2)/2 and m = (-3 - 3√2)/2
Now we need to check if these solutions satisfy the original equation. Let's substitute these values back into the equation:
For m = (-3 + 3√2)/2:
[(2(-3 + 3√2))/(2(-3 + 3√2) + 3)] - [(2(-3 + 3√2))/(2(-3 + 3√2) - 3)] = 1
Simplifying this equation, we find that it holds true.
For m = (-3 - 3√2)/2:
[(2(-3 - 3√2))/(2(-3 - 3√2) + 3)] - [(2(-3 - 3√2))/(2(-3 - 3√2) - 3)] = 1
Simplifying this equation, we also find that it holds true.
Therefore, both solutions satisfy the original equation. As a result, there are no extraneous solutions in this case.
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a bag of chocolates is labeled to contain 0.384 pounds of chocolate. the actual weight of the chocolates is 0.3798 pounds. how much lighter is the actual weight?
The actual weight is 0.0042 pounds lighter than the labeled weight.
The actual weight of the chocolates is 0.3798 pounds, while the label on the bag states it should weigh 0.384 pounds. To determine how much lighter the actual weight is, we can calculate the difference between the two weights.
Subtracting the actual weight from the labeled weight, we get:
0.384 pounds - 0.3798 pounds = 0.0042 pounds.
Therefore, the actual weight is 0.0042 pounds lighter than the labeled weight.
It's important to note that this difference may seem small, but it can be significant depending on the context. Accuracy in labeling is crucial for various reasons, such as complying with regulations, providing precise information to consumers, and ensuring fair trade practices. Even minor discrepancies can impact trust and customer satisfaction.
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3(-6x -5) = 75 pls help me
Answer:
x = -5
Step-by-step explanation:
3(-6x -5) = 75
Divide each side by 3
3/3(-6x -5) = 75/3
-6x-5 = 25
Add 5 to each side
-6x-5+5 = 25+5
-6x = 30
Divide each side by -6
-6x/-6 = 30/-6
x = -5
solve this inequality:
-1/3n - 8 < -25
Each time that Daniel runs an obstacle course, he can run it 2 seconds faster than the last time.
He ran the course in 57 seconds the first time. How fast will he run the course the seventh time?
OA. 43 seconds
B. 45 seconds
O C. 47 seconds
OD. 55 seconds
please helppppppppppppppppp??????/
Answer:
Its C trust me cuh
Step-by-step explanation:
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It takes Greg and Nikki a total of 40 minutes to paint a room if they work together. If Greg works alone, he takes 18 minutes longer to paint he room than Nikki takes if she works alone. When x represents the number of minutes it takes Nikki to paint the room working alone, the situation is represented by this equation: Which value is a solution of the rational equation that must be discarded because of the context
Using the together rate, it is found that the value that must be discarded is given by x = -9.
What is the together rate?It is the sum of each separate rate.
In this problem, the rates are given as follows:
Together: \(\frac{1}{40}\).Nikki's: \(\frac{1}{x}\).Greg's: \(\frac{1}{x + 18}\).Hence:
\(\frac{1}{x} + \frac{1}{x + 18} = \frac{1}{40}\)
\(\frac{x + 18 + x}{x(x + 18)} = \frac{1}{40}\)
\(x^2 + 18x = 80x + 720\)
\(x^2 - 72x - 720 = 0\)
Then, we have a quadratic function, with coefficients a = 1, b = -72, c = -720, so:
\(\Delta = (-72)^2 - 4(1)(-720) = 8064\)
\(x_1 = \frac{72 + \sqrt{8064}}{2} = 80.9\)
\(x_2 = \frac{72 - \sqrt{8064}}{2} = -9\)
They cannot have a negative rate, hence the value that must be discarded is given by x = -9.
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Answer:
X = -10
Step-by-step explanation:
PLATO
Identify the statistical test in which the mean difference between two groups are compared to a distribution of differences between means.
a. independent-samples t test
b. paired-samples t test
c. z test
d. single-sample t test
The statistical test in which the mean difference between two groups are compared to a distribution of differences between means is (b) paired-samples t-test.
The t-test, one of the most used statistical tests, is used to ascertain whether the means of two groups are equal. The test's underlying presumption is that samples from normal distributions with similar variances were used for both groups.
The two means are equal, which is the null hypothesis; otherwise, they are not. We can calculate a t-statistic that will follow a t-distribution with n1 + n2 - 2 degrees of freedom under the null hypothesis.
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Praveena Limited makes a single product, T, using a single raw material R. Standard cost relating to T have been calculated as follows. Standard cost schedule Per Unit (Rs) Direct material, R, 10kg at Rs. 20 per kg 200 Direct labour, 5 hours at Rs.6 per hour 30 Variable production overhead, 5 hours at Rs.1 per hour 5 Fixed production overhead, 5 hours at Rs.10 per hour 50 Standard cost 285 Standard profit 95 Standard selling price 380 The company expects to produce 900 units in month of April 2021. During April 2021 the actual results are as follows. 800 units of product T were produced and sold at Rs. 312,000. 7800 kgs costing Rs. 159,900 were bought and used. 4200 hours were worked during the month and total wages were Rs. 24,150. The variable production overhead for the month was Rs. 4,900. The fixed production overhead for the month was Rs. 47,000. 1. Calculate the following variances for the month of April 2021. a. Direct material cost variance and direct material usage variance b. Direct labor rate variance and direct labor efficiency variance c. Variable overhead expenditure variance and variable overhead efficiency variance d. Fixed overhead expenditure variance, fixed overhead efficiency variance and fixed overhead capacity variance e. Sales price variance and sales volume variance 8 1. Prepare a summary of total cost variances and total sales variances. 2. Identify possible causes for the variances and recommend corrective actions for adverse variances.
HELP I DONT UNDERSTAND!
Answer:
B
Step-by-step explanation:
5/2=15/6=20/8=2.5
A person is standing \(40\) ft from a light post and can see the top of the light at a \(35^\circ\) angle of elevation. The person’s eye level is \(5\) feet from the ground. What is the height of the lightpost to the nearest foot.
Answer:
The height of the lightpost is 33.008 feet
Step-by-step explanation:
Refer the attached figure
Distance between lamp post and person = AB = 40 feet
Height of person = BC = 5 feet
The angle of elevation = ∠DCE =35°
Height of light post = AD
AB=CE=40 feet
In ΔDCE
\(\frac{Perpendicular}{Base}=Tan \theta \\\frac{DE}{CE}=tan 35^{\circ}\\\frac{DE}{40}=tan 35^{\circ}\\DE=40 \times tan 35^{\circ}\\DE=28.008\)
Height of light post = AD=DE+AE=28.008+5=33.008
Hence the height of the lightpost is 33.008 feet
What is the value of p?
p + 2 - 4= 14
Drag and drop the correct answer in the box.
Answer:
p = 16
Step-by-step explanation:
(p + 2) - 4 = 14
We can just drop the parentheses:_
p + 2 - 4 = 14
p - 2 = 14
Add 2 to both sides:-
p - 2 + 2 = 14 + 2
p = 16
Alexandra's family took a road trip to the Grand Canyon. Alexandra slept for the last 48 miles of the trip. If the total length of the trip was 800 miles, what percentage of the total trip had they travelled when Alexandra fell asleep
Answer:
She fell asleep for 6% of the trip.
Step-by-step explanation:
You take 48 and divide it by 800. That gives you 0.06.
0.06 equals 6%.
Answer:
6%
Step-by-step explanation:
Divide 48 and 800 together.
48/800 = 0.06
48 is the miles she's sleeping and 800 is the total miles.
So, she was asleep only 6% of the trip.
Hope this helped.