Answer:
$32.50
Step-by-step explanation:
Think of it as what is 25 percent of 129.99?
25% x 129.99
move 2 decimal places to the left or divide 25 by 100
0.25 x 129.99 = 32.4975
and you just round it
factor the expression: 7x(x^2-1)-3(x^2-1)
Answer:
x = 1
Step-by-step explanation:
The factors of the given expression is as follows:
\(7x(x^2-1) -3(x^2-1)\\\\7x^3 - 7x - 3x^2 +3\\\\7x^3 - 3x^2 -7x + 3\)
If we considered x = 1
So
7 - 3 -7 + 3 = 0
0 = 0
Hence, the factor would be x = 1
Hailey cuts a 7-inch square piece of plywood for a birdhouse. She rotates the piece 90° counterclockwise. What is the length in inches of each side of the piece of plywood after the rotation? Can someone please help me ASAP!!
Answer:
\(\huge\boxed{7 \ \text{inches}}\)
Step-by-step explanation:
When we rotate a line, the size doesn't change. Size only changes if we dilate the figure. Rotating a figure is the same thing as just changing its position by a set amount.
Hope this helped!
A population of 45 foxes in a wildlife preserve doubles in size every 10 years. The function y = 45 * 2 ^ x where x is the number of 10-year periods, models the population growth . How many foxes will there be after 20 years After 20 years there will be Foxes(Type a whole number.)
Answer: 180
Step-by-step explanation:
Given
The population of 45 foxes doubles in 10 year period
Population follows \(y=45\cdot 2^x\)
After 20 years i.e. x=2 Population is given by
\(y=45\cdot 2^2=45\times 4\\y=180\)
Thus, there will be 180 foxes after 20 years
Which solid figure has the following net?
square prism
square pyramid
triangular pyramid
triangular prism
QUICK PLS!!
Answer:
square pyramid
Step-by-step explanation:
SOMEBODY PLEASE HELP ME.Eric and Scott each through a javelin. The height of the javelin that Eric through can be modeled by the function f(x)=-16x^2+64x6 where f(x) represents the height in feet of the javelin after X seconds. The graph represents the height of Scots javelin as a function of time. Which statements are true?THE ANSWER CHOICES ARE IN THE PICTURE PLEASE ANSWER THIS QUESTION RIGHT
Answer: The maximum height of Scott’s and Eric’s javelins were the same
Step-by-step explanation: bc I put it as my answer and I got it right
Which of the following is equivalent to (a+b)(c+d+e)?
Select one:
a. ac+bd+e
b. abcde
c. ab+ac+ad+ae
d. ac+ad+ae+bc+bd+be
Option d is correct, ,\(ac+ad+ae+bc+bd+be\) is the equivalent expression of \((a+b)(c+d+e).\)
The expression \((a+b)(c+d+e)\) can be expanded using the distributive property.
We multiply each term in the first set of parentheses by each term in the second set of parentheses and combine like terms.
\((a+b)(c+d+e) = a(c+d+e) + b(c+d+e)\)
Expanding further:
\((a+b)(c+d+e) = ac + ad + ae + bc + bd + be\)
Hence,\(ac+ad+ae+bc+bd+be\) is the equivalent expression of \((a+b)(c+d+e).\)
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2 3/4 divided by 3 in lowest term
Answer:
i believe rhe awnser is 11/12
radius= 4cm. find the area and diameter of the circle
radius= 4 cm
to find:the area and the diameter of the circle.
solution:diameter:\(d = 2r\)
\(d = 2 \times 4\)
\(d = 8 \: cm\)
therefore, the diameter of the circle is 8 centimeters.
area:\(a = \pi {r}^{2} \)
\(a = \pi \times {4}^{2} \)
\(a = 50.26548 \: {cm}^{2} \)
\(a = 50.27 \: {cm}^{2} \)
hence, the area of the circle is 50.27 square centimeters.
\(diameter = 2r\)
\(d = 2 \times 4\)
\(d = 8 \: cm\)
Area of the circle:\(area = \pi {r}^{2} \)
\(a = \pi \times {4}^{2} \)
\(a = 50.26548 \: {cm}^{2} \)
\(a = 50.27 \: {cm}^{2} \: (2 \: d.p)\)
A construction company borrowed$75,000 for 4 months at an annual interest rate 8%. Find the simple interest due on the loan
Answer:
The answer is SI of $1980
why is paying back along with a nominal interest rate of 13.62% if the interest is compounded quarterly, how much greater is white effective interest rate than his nominal interest rate
The required white effective interest rate is 0.71% more than his nominal interest rate.
What is compound interest?Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.
Here,
White Effective interest R,
\(R=(1+i/m)^m)-1\\R=(1+0.1362/4)^4)-1\\R =0.1433*100=\)
R = 14.33 percent
So
Difference in interest = 14.33%-13.62%
=0.71%
Thus, the required white effective interest rate is 0.71% more than his nominal interest rate.
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Which of the following is the midsegment of AABC?
Answer:
Option D is the correct answer
Step-by-step explanation:
\( \overline{LM} \) is the mid segment of \( \triangle ABC \)
Answer this math problem pls
Answer:
8 + 12 =20
Step-by-step explanation:
i think 20 the answer
Answer:
You only have yo flip it
Step-by-step explanation:
I did it before
If a pharmacist combined 50-ml portions of thre syrups having specific graveties of 1.10, 1.25, and 1.32, what would be the specific gravity of the combined product?
The specific gravity of the combined product is 1.22
Specific gravity is the ratio of the density of a substance to the density of some substance (such as pure water) taken as a standard when both densities are obtained by weighing in air.
Given,
The total quantity of portion= 50 ml
Specific gravities of the three syrups = 1.10,1.25 and 1.32
Then,
The specific gravity of the combined product= \(\frac{1.10+1.25+1.32}{3}\)
= 1.22
Hence, the specific gravity of the combined product is 1.22.
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You only invest in zero-coupon bonds. You decided to buy a zero-coupon bond issued by the Italian Treasury that has a yield to maturity of 9% and a par value of $1,000. If the bond matures in eight years, the bond should sell for a price of_____ today. a.513.16 b.422.41 c.501.87 d.4873.69
The bond should sell for approximately $500.94 today. So, the correct answer is c.501.87.
To determine the price of the zero-coupon bond, we can use the formula for present value (PV) of a bond. The formula is:
PV = F / (1 + r)^n
Where:
PV is the present value of the bond,
F is the future value or par value of the bond ($1,000 in this case),
r is the yield to maturity (9% in this case),
n is the number of years until maturity (8 years in this case).
Let's substitute the given values into the formula:
PV = $1,000 / (1 + 0.09)^8
Now, let's calculate the price of the bond using a calculator:
PV = $1,000 / (1.09)^8
PV = $1,000 / 1.9993996
PV ≈ $500.94
Therefore, the bond should sell for approximately $500.94 today.
Now, let's analyze the answer choices to find the closest match.
a.513.16
b.422.41
c.501.87
d.4873.69
The closest match to the calculated value of $500.94 is option c.501.87. So, the correct answer is c.501.87.
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Drag and drop the constant of proportionality into the box to match the table. If the table is not proportional, drag and drop "not proportional" into the box.
x 0 1 2 3
y 0 2 3 4
A.2/3
B.1/2
C.0
D.not proportional
Answer:
Hello! The Answer is not proportional. Hope this helps!
Step-by-step explanation:
Please help!!!
If b⊥c and b⊥d, then c ? d
Answer:
C and D are parallel
Step-by-step explanation:
If b⊥c and b⊥d, then that means that they are both parallel because they both have a 90 degree anglewith line B.
Answer:
| | (Parallel)
Step-by-step explanation:
I'm assuming that is what it is asking. if b and c are perpendicular, that means they form 90 degrees on all angles. The same for b and d. So if both c and d are perpendicular to b, then they are parallel.
A set of 10 cards consists of 5 red cards and 5 black cards. The cards are shuffled thoroughly, and you choose one at random, observe its color, and replace it in the set. The cards are thoroughly reshuffled, and you again choose a card at random, observe its color, and replace it in the set. This is done a total of four times. Let be the number of red cards observed in these four trials. The random variable has which of the following probability distributions?
(a) the Normal distribution with mean 5.
(b) the binomial distribution with p = 0.5.
(c) the geometric distribution with probability of success 0.5.
(d) the uniform distribution that takes value 1 on the interval from 0 to 1.
(e) none of the above.
The distribution for the random variable follows the binomial distribution with p = 0.5.
The random variable representing the number of red cards observed in these four trials follows the binomial distribution with a probability of success of 0.5. Therefore, the correct answer is (b) the binomial distribution with p = 0.5.
Each trial consists of choosing one card from the set of 10 cards, and the probability of selecting a red card is 0.5 since there are 5 red cards out of 10 total cards. The trials are independent because after each selection, the chosen card is replaced, so the probability of selecting a red card remains the same for each trial.
The binomial distribution is suitable for situations where there are a fixed number of independent trials, and each trial has two possible outcomes (success or failure) with a constant probability of success. In this case, the random variable represents the number of successes (red cards) observed in four trials.
The probability mass function (PMF) for the binomial distribution is given by:
P(X = k) = C(n, k) * p^k * (1-p)^(n-k)
Where X is the random variable, k is the number of successes, n is the number of trials, p is the probability of success, and C(n, k) represents the binomial coefficient.
n = 4 (four trials), p = 0.5 (probability of selecting a red card), and we are interested in finding P(X = k) for different values of k (0, 1, 2, 3, 4) representing the number of red cards observed in the four trials.
The distribution for the random variable follows the binomial distribution with p = 0.5.
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For the point p and q, find the distance d(p,q) and the coordinates of the midpoint m of the segment pq.
The midpoint of the coordinate pq is (-7.5, -5.5) while the distance between the two coordinate points is 5√2
How to calculate the distance between two points and midpoint?The midpoint of a line is the coordinate point that divides the coordinates into two equal parts.
The formula for calculating the midpoint is expressed as:
\(m(x,y)=(\frac{x_1+x_1}{2} ,\frac{y_1+y_2}{2} )\)
Given the coordinate points p(-10, -8) and (-5, -3).
Calculate the midpoint of pq
\(m(x,y)=(\frac{-10-5}{2} ,\frac{-8-3}{2} )\\m(x,y)=(\frac{-15}{2} ,\frac{-11}{2} )\\m(x,y)=(-7.5,-5.5)\)
Hence the midpoint of the coordinate pq is (-7.5, -5.5)
Determine the distance pq
pq = √(-3+8)²+(-5+10)²
pq = √(5)²+(5)²
pq = √50
pq = 5√2
Hence the distance between the point pq is 5√2
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A tudy that examined the relationhip between the fuel economy (mpg) and horepower for 15 model of car
produced the regreion model mpg = 47. 53 - 0. 077HP. If the car you are thinking of buying ha a 320-horepower
engine, what doe thi model ugget your ga mileage would be?
According to the regression model, if the car you are thinking of buying has a 200-horsepower engine, the model suggests that your gas mileage would be approximately 30.07 miles per gallon.
Regression analysis is a statistical method used to examine the relationship between two or more variables. In this case, the study examined the relationship between fuel economy (measured in miles per gallon, or mpg) and horsepower for a sample of 15 car models. The resulting regression model allows us to make predictions about gas mileage based on the horsepower of a car.
The regression model given is:
mpg = 46.87 - 0.084(HP)
In this equation, "mpg" represents the predicted gas mileage, and "HP" represents the horsepower of the car. By plugging in the value of 200 for HP, we can calculate the predicted gas mileage for a car with a 200-horsepower engine.
To do this, substitute HP = 200 into the regression equation:
mpg = 46.87 - 0.084(200)
Now, let's simplify the equation:
mpg = 46.87 - 16.8
mpg = 30.07
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Complete Question:
A study that examined the relationship between the fuel economy (mpg) and horsepower for 15 models of cars produced the regression model mpg =46.87−0.084(HP). a.) If the car you are thinking of buying has a 200-horsepower engine, what does this model suggest your gas mileage would be?
dante's commedia is divided into three books, each containing thirty-three
Dante's Commedia consists of three books, each containing 33 cantos, for a total of 100 cantos.
The Commedia is a famous literary work by Dante Alighieri, an Italian poet from the 14th century. It is divided into three books: Inferno, Purgatorio, and Paradiso. Each book consists of 33 cantos, making a total of 100 cantos in the entire work.
Inferno is the first book and depicts Dante's journey through Hell. It starts with Dante being guided by the Roman poet Virgil and encountering various sinners and punishments in the different circles of Hell.
Purgatorio is the second book and portrays Dante's ascent up Mount Purgatory, where souls undergo purification to reach Heaven. In this book, Dante is guided by Virgil and later by Beatrice, his beloved.
Paradiso is the final book and represents Dante's ascent to Heaven. In Paradiso, Dante is guided by Beatrice and encounters various heavenly spheres, learning about theology, cosmology, and the nature of God's love.
Each book explores different themes, symbolism, and allegorical representations. Dante's Commedia is renowned for its vivid imagery, complex allegories, and its profound exploration of moral, spiritual, and philosophical themes.
In conclusion, Dante's Commedia consists of three books, each containing 33 cantos, for a total of 100 cantos. It is a monumental work of Italian literature that delves into the realms of Hell, Purgatory, and Heaven, offering a rich exploration of various themes and ideas.
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what is the least common factor of 8x^2, 6x, and 12x^3
Answer:
24 x^3
Step-by-step explanation:
please help with this question will mark brainliest
Answer:
2.121
Step-by-step explanation:
There are 300 students in the middle school, 4 seventh graders are running for class president. Which type of survey below would give biased results?
A. Survey thirty middle school students.
B. Survey thirty 7th graders.
C. Survey seventy middle school students.
D. Survey all the middle school students.
How many units long is a segment whose endpoints are (-4,1) and (1,13)?
Answer:
13
Step-by-step explanation:
(1−−4)2+(13−1)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√(1++0)2+(13−1)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√(5)2+(12)2‾‾‾‾‾‾‾‾‾‾‾√25+144‾‾‾‾‾‾‾‾‾√169‾‾‾‾√≈13
Sorry if the explanation is a bit confusing but, I used the distance formula to do this.
Hope this helps!!! PLZ MARK BRAINLIEST!!!
Answer:
D = 13
Step-by-step explanation:
We'll find its length using Distance Formula:
Distance Formula = \(\sqrt{(x2-x1)^2+(y2-y1)^2}\)
D = \(\sqrt{(1+4)^2+(13-1)^2}\)
D = \(\sqrt{(5)^2+(12)^2}\)
D = \(\sqrt{25+144}\)
D = \(\sqrt{169}\)
D = 13
Simplify the expression.
Answer:
x
Step-by-step explanation:
(log to the base 3) of 27^x can be re-written as
x*(log to the base 3) of 27, which is equivalent to:
x*(log to the base 3 of 3^3) = x
So the answer is simply " x "
a pendulum has a length of 5.64 m. find its period. the acceleration due to gravity is 9.8 m/s 2 . answer in units of s.
The period of the pendulum (t) is approximately 4.77 seconds.
The formula for a basic pendulum's period is
T = 2π√(L/g)
where L is the pendulum's length and g is its gravitational acceleration.
Substituting the given values, we get:
T = 2π√(5.64/9.8)
Simplifying the expression inside the square root, we get:
T = 2π√(0.5755)
Calculating the square root, we get:
T = 2π(0.759)
Multiplying by 2 and π, we get:
T = 4.77 seconds (rounded to two decimal places)
Therefore, the period of the pendulum is approximately 4.77 seconds.
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Graham carves a block of wood shaped like a cube with a square pyramid on top. how much paint will graham need to paint the toy? enter your answer in the box.
Graham need to paint \(1080 cm^2\) of the toy.
Surface area is the total area of the exposed surfaces of a three-dimensional object. It is the sum of all the areas of the exposed faces of the object, and can be thought of as the amount of paint required to cover the object.
We must determine the toy's total surface area before painting its outside.
Given:
cubical base
side of cube = 12cm
height of triangular sides of the pyramid = 15cm
TSA = Area of 4 sides of pyramidal top + CSA of cubical base + Area of base of cube
\(TSA = \frac {1}{2}(b)(h) * 4+4s^2+s^2\)
\(TSA = \frac {1}{2}(12)(15) * 4+4(12)^2+(12)^2\)
\(TSA = 360 + 144*5\)
\(TSA = 360+720\)
\(TSA = 1080 cm^2\)
Graham need to paint \(1080 cm^2\) of the toy.
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Bryant Industries uses forecasting to estimate the number of orders that will be placed by their customers. The table below gives the sales figures for the last four months. Month 2 3 4 5 Sales 924 91
Bryant Industries uses forecasting to estimate the number of orders that will be placed by their customers. The table below gives the sales figures for the last four months.Month2345Sales92491942004There are different forecasting techniques used by companies like Bryant Industries to predict future sales.
One of the most widely used methods is the time-series method. This method is particularly useful when the demand for a product or service changes over time and when there are no external factors that affect the sales. In this case, we can use a time-series method called the moving average to estimate future sales. The moving average is a time-series method that uses the average of past sales data to estimate future sales. It is particularly useful when there are no external factors that affect the sales. In this case, we can use a 3-month moving average to estimate future sales. The 3-month moving average is calculated as follows: (924 + 919 + 420) / 3 = 754.33. This means that we can expect sales of around 754 units next month. The moving average method is easy to use and is a good way to get a quick estimate of future sales. However, it has some limitations. For example, it does not take into account external factors that may affect sales, such as changes in the economy or in consumer behavior.
In conclusion, Bryant Industries can use the moving average method to estimate future sales. However, they should also consider other factors that may affect sales, such as changes in the economy or in consumer behavior. By doing so, they can make more accurate forecasts and improve their overall performance.
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The “strike zone” or distance across home plate is 17 inches. Determine how long a baseball pitched at 90 mph is in the strike zone. Show your work
Answer:
The ball will spend 10,730.4012 microseconds in the strike zone
Step-by-step explanation:
Here, we want to calculate the time spent by a ball in the strike zone given the distance across the strike zone and the speed of the ball
Mathematically, we have ;
time = distance/speed
Before we proceed to use this formula, we need to have the parameters in the same units
So let’s convert 17 inches to miles
Mathematically;
1 inch = 1.578 * 10^-5 mile
So 17 inches = 1.578 * 10^-5 * 17 = 0.00026826 miles
So let’s now calculate the time
That will be;
0.00026826/90 = 0.000002980667 hours
It will be best if we convert this to seconds
Mathematically,
60 seconds = 1 minute
60 minutes = 1 hour
So the number of seconds in an hour is 60 * 60 = 3600 seconds
= 0.000002980667 * 3600 = 0.0107304012
Mathematically, 1 second = 10^6 microseconds
Thus multiplying 0.0107304012 by 10^6
we have; 10,730.4012 micro seconds
The Miami Heat cored 79 point. Thi wa 3 le than half the point the Chicago Bull cored. How many point did the Bull core? write and olve the equation
The equation that represents the situation is x/2 - 3 = 79, and the number of points that scored by Bulls is 164 points
The total points scored by Miami Heat = 79 points
This was 3 less than half the point the Chicago Bull scored.
Consider the Chicago Bull scored x points
Then the equation will be
x/2 - 3 = 79
Move 3 to the right hand side of the equation
x/2 = 79 + 3
Add the numbers
x/2 = 82
Move the 2 to the right hand side of the equation
x = 82 × 2
Multiply the numbers
x = 164 points
Therefore, the Bull scored 164 points
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