answer is -3.5p
4(-3.5p+11p) = 4(7.5p) = 30p
These 3 congruent square pyramids can be assembled into a cube with side length 2 feet. what is the volume of each pyramid?
To determine the volume of each congruent square pyramid when three of them are assembled into a cube with a side length of 2 feet, we need to divide the volume of the cube by 3.
The volume of each pyramid can be calculated based on the formula for the volume of a pyramid, considering the dimensions of the cube. The volume of a cube can be found by cubing the length of its side. In this case, the cube has a side length of 2 feet, so its volume is (2 ft)^3 = 8 cubic feet.
Since three congruent square pyramids make up the cube, we can divide the volume of the cube by 3 to find the volume of each pyramid. Therefore, the volume of each pyramid is 8 cubic feet / 3 = 2.67 cubic feet. This means that each individual pyramid, when combined with two others, would occupy a volume of approximately 2.67 cubic feet within the cube.
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1. Solve for the unknown in each triangle. Round each answer to the nearest tenth.
The values of the missing sides are;
a. x = 35. 6 degrees
b. x = 15
c. x = 22. 7 ft
d. x = 31. 7 degrees
How to determine the valuesTo determine the values, we have;
a. Using the tangent identity;
tan x = 5/7
Divide the values
tan x = 0. 7143
x = 35. 6 degrees
b. Using the Pythagorean theorem
x² = 9² + 12²
find the square
x² = 225
x = 15
c. Using the sine identity
sin 29= 11/x
cross multiply the values
x = 11/0. 4848
x = 22. 7 ft
d. sin x = 3.1/5.9
sin x = 0. 5254
x = 31. 7 degrees
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What is the slope?
у
-2
3
-1
0
1
1
3
2
5
Answer:
Slope = 2
Step-by-step explanation:
5-3
over
2-1 is
2 over 1 which is slope of 2
4x^2+2x-1=0 in quaratic equations
Answer:
Step-by-step explanation:
"quaratic" should be "quadratic."
The coefficients of this quadratic are 4, 2 and -1. Thus, the discriminant is
b^2 - 4ac, or here, 4 - 4(4)(-1) = 20
Since the discriminant is positive, our quadratic has two real, different roots.
-2 ± (√4)(√5)
The roots are: x = ---------------------
2(4)
-1 ± √5
This reduces to x = ---------------
8
I need help , slope calculator
Answer:
Step-by-step explanation:
change in x (horizontal) = 4 - 1 = 3
Change in y (vertical) = 9 - 3 = 6
Slope = change in x / change in y
slope = 3 / 6 = 1/2
Find the measure of each labeled angle.first,find x=……..,m(angle)A=……,m(angle)B=…..,m(angle)C=……..
Answer:
24
Step-by-step explanation:
you slove the sides and find x
Answer:
x=40 m∠A=100° m∠B=80° m∠C=65°
Step-by-step explanation:
Step 1: Find relationships between the angles (corresponding, alternate exterior, alternate interior, consecutive interior, or consecutive exterior)
Step 2: m∠A + m∠B = 180°
So, (3x-20)° + (2x)° = 180°
Step 3: Solve for x (x=40)
Step 4: Plug in x to the angles
m∠A= 3(40) - 20
m∠B= 2(40)
m∠C= 2(40)-15
Find the distance between the points (7, -4) and (7,5).
Answer:
9
Step-by-step explanation:
find absolute value
Brandy's candies paid $23 million in dividends during 1998, while also making net common stock repurchases of $27 million. what was the cash flow to stockholders for 1998?
The cash flow to stockholders for 1998 is -$4 million.
To calculate the cash flow to stockholders for 1998, follow these steps:
Identify the dividends paid: Brandy's Candies paid $23 million in dividends during 1998.
Determine the net common stock repurchases: Brandy's Candies made net common stock repurchases of $27 million during 1998.
Subtract the net common stock repurchases from the dividends paid: $23 million - $27 million = -$4 million.
The resulting cash flow to stockholders for 1998 is -$4 million, indicating a net outflow of cash from stockholders.
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Help please step by step
Answer:
252,000 packets for 35 machines in 8 hours.
Step-by-step explanation:
First figure out how many packets 1 machine can fill.
4 seconds to fill 1 packet.
So in 1 minute (60 seconds), one machine can fill 60/4 = 15 packets.
There are 60 mins/hour.
So in 1 hour 60 x 15 = 900 packets for 1 machine.
In 8 hours, 900 x 8 = 7200 packets for 1 machine in 8 hours.
The problems asks about 35 machines in 8 hours.
So multiply 7200 x 35 = 252000 packets for 35 machines in 8 hours.
Find the area of the shaded polygon. ASAP PLease
Answer: 10.24
Step-by-step explanation:
Broke up top into trapezoid, then another trapezoid and 3 triangles
A1 = 2.75
A2=3.5
A3=1
a4=2
a5=1
state the mean-value theorem for derivatives. can the mean-value theorem be used to conclude that v(t) was never zero on the interval [0, ln 2]? why or why not?
V(t) was never zero on the interval [ 0, ln 2] according to the mean-value theorem.
what is mean value theorem of derivatives ?According to the Mean Value Theorem, if a function f is continuous on the closed interval [a, b] and differentiable on the open interval (a, b), then f'(c) must equal the function's average rate of change over [a, b] at some point c on the interval (a, b).
given
Assume that f: [a, b] R and that f has a local maximum or minimum at x0 (a, b). F 0 (x0) = 0 if f is differentiable at x0.
Proof: Let's assume that f has a local maximum at x0 (a, b). When h is small enough, f(x0 + h) f. (x0).
f(x0 + h) f(x0) h 0 if h > 0 else.
Similar to this, f(x0 + h) f(x0) h 0 if h 0.
As a result of fundamental limit qualities, f
We point out that if x0 is either an or b, the prior theorem is invalid. For instance, f has a maximum at 1 but f 0 (x) = 1 for all x [0, 1] if we take the function f: [0, 1] R such that f(x) = x.
V(t) was never zero on the interval [0, ln 2] according to the mean-value theorem.
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the measure of the angles of a triangle are shown in the figure below. solve for x.
Answer:
X = 23
triangle angles sum = 180
67 + 49 + (3x-5) = 180
3x + 111 = 180
3x = 69
x = 23
Knowledge check 01 all of the following are one of the building blocks of financial statement analysis except: multiple choice solvency profitability marketing prospects liquidity efficiency
e) external analyst services
These are the analytical tools that are used by analysts for further analysis of the the financial statements. These ratios give a insight and better understanding of the financial statements. Without this analysis financial statements are mere figures.
The building blocks of financial statement analysis includes the ratios that are used to compute the liquidity, efficiency, solvency, profitability, and market prospects.
Below are some ratios related to different types of analysis:
Analysis and their Ratios -
Liquidity and Efficiency : Acid-test ratio, Current ratio.
Solvency : Debt-to-equity ratio, Debt-to-capital ratio.
Profitability : Return on assets, Return on equity.
Market Prospects : Dividend yield ratio, Price earning ratio.
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Disclaimer : The complete question is given below.
Question:
All of the following are one of the building blocks of financial statement analysis except
a) solvency
b) profitability
c) marketing prospects
d) liquidity and efficiency
e) external analyst services
In the expression -3 which is the correct order in which operations have been done to x?
5
(1) x was divided by 5 and the result was subtracted from 3.
(2) x had 3 subtracted from it and the result was then divided by 5.
(3) x was divided by 5 and 3 was subtracted from the result.
(4) 5 was divided by x and then 3 was subtracted from the result.
how can you write the expression with a rationalized denominator 3 sqrt 2/3 sqrt 4
To write the expression with a rationalized denominator, you need to eliminate the square root from the denominator. Here's the expression you provided: (3√2) / (3√4). Let's rationalize the denominator step by step:
1. Evaluate the square root in the denominator: √4 = 2.
So, the expression becomes: (3√2) / (3 * 2).
2. Simplify the denominator: 3 * 2 = 6.
The expression now is: (3√2) / 6.
3. Since there is no square root in the denominator, it is already rationalized.
So, the expression with a rationalized denominator is (3√2) / 6.
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Emily got her monthly credit card statement, which showed a bill of $156. She paid the minimum payment due, which was $30. If the interest rate was 15.5%, then Emily had to pay interest on the amount of $ _________ and the amount of interest to be paid would be __________.
Emily had to pay interest on the amount of $126 and the amount of interest to be paid would be $16.41.
What is interest rate?
Interest rate is the percentage charged by a lender to a borrower for the use of money, usually expressed as an annual percentage of the principal borrowed.
Emily had to pay interest on the remaining balance after making the minimum payment of $30.
Remaining balance = $156 - $30 = $126
The amount of interest to be paid would be calculated as:
interest = (interest rate/12) * remaining balance
Where 12 is the number of months in a year.
So,
interest = (15.5/12) * $126 = $16.41
Therefore, Emily had to pay interest on the amount of $126 and the amount of interest to be paid would be $16.41.
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y = 100(1.25)^t
1. What is your initial value?
For the binomial distribution, which formula finds the standard deviation? Choose the correct answer below: np npq npnpq
The formula for finding the standard deviation for a binomial distribution is σ2=npq. f.
What means binomial distribution?
When each trial has the same probability of achieving a given value, the number of trials or observations is summarized using the binomial distribution.
what is binomial Distribution Formula?For each random variable X, the binomial distribution formula is given by;
P(x:n,p) = nCx px (q)n-x
Where,
n = the number of experiments
x = 0, 1, 2, 3, 4, …
p = Probability of Success in a single experiment
q = Probability of Failure in a single experiment = 1 – p
formula for finding standard deviation of a binomial distribution is npq. f.
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!!!PLEASE HELP, ITS DUE TODAY!!!
Duane Pipe has worked at the hospital 21 out of 30 days this month. What is his ratio of days worked to total days reduced to lowest terms? In order to receive full-time benefits, he must work 3/4ths of the month or more. Did he meet the requirements?
I will give Brainliest if it’s right
Answer:
2/3
Step-by-step explanation:
he did meet the requirements
A laptop has a listed price of $801.98 before tax. If the sales tax rate is 8.5%, find the total cost of the laptop with sales tax included.
Round your answer to the nearest cent, as necessary.
Answer 870.15
Step-by-step explanation:
F. x(t)=o(t)-o(t−2a)−(t−3a)²[o(t−3a)+o(t−4a)]−(t−5a)[o(t−5a)-0(t−6a)],
The expression x(t) = o(t) - o(t-2a) - (t-3a)²[o(t-3a) + o(t-4a)] - (t-5a)[o(t-5a) - o(t-6a)] represents a complex combination of functions evaluated at different points.
The expression x(t) involves several terms and operations involving functions o(t) evaluated at different values of t.
1.) The term o(t) represents a function evaluated at t.
2.) The term o(t-2a) represents the same function evaluated at t-2a.
3.) (t-3a)² represents the square of the difference between t and 3a.
4.) o(t-3a) and o(t-4a) represent the function evaluated at t-3a and t-4a, respectively.
5.) (t-5a) represents the difference between t and 5a.
6.) o(t-5a) and o(t-6a) represent the function evaluated at t-5a and t-6a, respectively.
The expression x(t) combines these terms and operations using subtraction, addition, multiplication, and squaring. The resulting expression represents a complex combination of the functions evaluated at different points, creating a unique pattern or relationship between the terms and functions.
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Is $9 : 4 visitors - $18 : 8 visitors proportional
Yes, $9 for 4 visitors and $18 for 8 site visitors are proportional.
To determine whether or not $9 for 4 visitors and $18 for 8 visitors are proportional, we need to test if the ratio of the value to the number of visitors is the equal for both cases.
The ratio of cost to the quantity of visitors for $9 and four visitors is:
$9/4 visitors = $2.25/ visitors
The ratio of value to the quantity of visitors for $18 and eight visitors is:
$18/8 visitors = $2.25/ visitors
We are able to see that both ratios are equal to $2.25 per visitor.
Therefore, $9 for 4 visitors and $18 for 8 site visitors are proportional.
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Dena uses 7.4 pints of white paint and blue paint to paint her bedroom walls. 2/5 of this amount is white paint, and the rest is blue paint. How many pints of blue paint did she use yo paint her bedroom walls
Answer:
4.44 pints
Step-by-step explanation:
7.4 times 3/5
If the scale on a map is inches /miles = 1 /10, find the following actual distances.
a. 2 inches b. 1/2 inches c. 3.5 inches
Answer:a-20miles
b-5miles
C-35 miles
Step-by-step explanation:
Express the following number as fraction with fraction with rational denominator
Answer:
I need the picture
Step-by-step explanation:
wheres the picture my guy
Answer:
you never posted the number so we can't put it into a fraction.
Any has 10 pieces of fruit. 7 are apples and the rest are oranges.
She chooses a piece of fruit at random eats it then chooses a second piece of fruit at random
Please draw this
The fraction which should go into the boxes marked A and B in their simplest form is 3/4 and 1/4 respectively.
What fraction should go into the boxes?Total number of fruits Amy has = 10
Number of Apples = 7
Number of Oranges = 3
First random pieces of fruits chosen:
Probability of choosing Apples = 6/9
Probability of choosing Oranges = 3/9
Second random pieces of fruits chosen:
Probability of choosing Apples = 6/8
= 3/4
Probability of choosing Oranges = 2/8
= 1/4
Therefore, the probability of choosing Apples or oranges as the second piece is 3/4 or 1/4 respectively.
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¿CUAL ES EL PERIMETRO DE UN RECTANGULO SABIENDO QUE SU ANCHO ES 3/4 DEL LARGO Y BEL LARGO MIDE 2,55M?
Answer:
Perímetro = 8.925 metros
Step-by-step explanation:
La formula del perímetro de un rectángulo es:
perímetro = 2(ancho + largo)
en este caso:
p = 2(a+b)
a = 3b/4
b = 2.55m
a = ancho del rectángulo
b = largo del rectángulo
entonces:
sustituyendo el valor de la segunda ecuación
p = 2((3b/4)+b)
p = 2((3b/4)+(4b/4))
p = 2(7b/4)
p = 14b/4
p = 7b/2
p = 7*2.55/2
p = 8.925m
There are 5 white balls,8 red balls ,7 yellow balls and 4 green balls in a container a ball is choosen at random.what is the probabilty of chooseing neither white or green? .
15/19 + 14/19 = 29/19
Step-by-step explanation:
Add the number of balls in the basket together.
Subtract the number of white balls from the sample space ( the total amount of balls) your answer is written over the sample space and the same process is done for the green ball
Word problem involving the area of a rectangle: Problem type 2
Answer:
\(Cost \ total= \$ 1755\)
Step-by-step explanation:
Find the total cost of a rectangular shaped carpet, given the carpets length, width, and the cost of carpet per square foot. Using the formula for the area of a rectangle.
\(\boxed{\left\begin{array}{ccc}\text{\underline{Area of a Rectangle:}}\\\\A=l \times w\end{array}\right}\)
Where...
"l" is the length of the rectangle "w" is the width of the rectangleGiven:
\(l=15 \ ft\\w=9 \ ft\\ 1 \ ft^2= \$ 13\)
Find:
\(Cost \ total = \ ?? \\)
(1) - Calculating the total area of the carpet, which is a rectangle
\(A=l \times w\\\\\Longrightarrow A=15 \ ft \times 9 \ ft\\\\\therefore \boxed{A=135 \ ft^2}\)
(2) Calculate the total cost of the carpet by multiplying the total area of the carpet by the cost of one square foot of carpet
\(Cost \ total=135 \ ft^2 \times \$ 13\\\\\therefore \boxed{\boxed{Cost \ total= \$ 1755}}\)
Thus, the total cost of the carpet is found.
Kendra and Dalisay practice archery. Kendra hits the target 3 times for every 5 misses. Dalisay hits the target 5 times for every 7 misses. Who hits the target more?
Using proportions, it is found that Dalisay hits the target more.
What is a proportion?A proportion is a fraction of a total amount.
Kendra hits the target 3 times for every 5 misses, that is, she hits the target 3 out of 8 times, hence her proportion is:
pK = 3/8 = 0.375.
Dalisay hits 5 out of 12 times, hence:
pD = 5/12 = 0.4167.
Due to the higher proportion, Dalisay hits the target more.
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