Answers
Answer:
1) 1050 ft squared
2) 200 yards
Step-by-step explanation:
Hope this helps! Pls give brainliest!
Related Questions
A wise man once said “500 reduced by twice my age is 378.” What is his age
Answers
The age of a wise man is 61 years.
What is linear expression?
A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.
The condition is given as;
A wise man once said “500 reduced by twice my age is 378.”
Now,
Let age of a wise man = x years
Then, By the condition, we written as;
500 - 2x = 378
Subtract 500 both side,
500 - 2x - 500 = 378 - 500
- 2x = - 122
Multiply by '-1' both side,
2x = 122
Divide by 3 both side,
x = 122/2
x = 61
Thus, The age of a wise man is 61 years.
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What are the zeros of the function
Answers
Answer: i think c
Step-by-step explanation:
. Read the paragraph and choose a sentence that describes it best. On the way across the Aegean Sea, Caesar was kidnapped by pirates and held prisoner. He maintained an attitude of superiority throughout his captivity. The pirates demanded a ransom of 20 talents of silver, but he insisted that they ask for 50. After the ransom was paid, Caesar raised a fleet, pursued and captured the pirates, before imprisoning them. He had them crucified on his own authority, as he had promised while in captivity—a promise that the pirates had taken as a joke.
a) Caesar was a vane man who thought 20 talents is too little of a ransom
b) Caesar was very brave and kept to his word to kill the pirates
c) Pirates didn’t believe Caesar will kill them because he was their prisoner
d) The pirates didn’t kill Caesar not only because he was promised to be paid for, but because he made them respect him
Answers
The sentence that best describes the paragraph is: "The pirates didn't believe Caesar would kill them because he was their prisoner." So, the correct option is c) Pirates didn’t believe Caesar will kill them because he was their prisoner.
The paragraph recounts the events of Caesar's kidnapping by pirates while crossing the Aegean Sea. Despite being held captive, Caesar maintained an attitude of superiority. The pirates demanded a ransom of 20 talents of silver, but Caesar insisted they ask for 50. This indicates that Caesar saw himself as more valuable than the initial ransom amount suggested by the pirates.
After the ransom was paid, Caesar did not forget the pirates' actions. He raised a fleet, pursued the pirates, and captured them. The sentence implies that the pirates didn't believe Caesar would actually kill them because he was their prisoner and they likely saw his promises as mere jest.
However, Caesar, true to his word, had the pirates crucified on his own authority.
This sequence of events highlights Caesar's determination, strategic thinking, and his ability to command respect even in dire circumstances. Despite being initially taken prisoner, he managed to turn the tables on the pirates, assert his authority, and exact his revenge. So, the correct option is c) Pirates didn’t believe Caesar will kill them because he was their prisoner.
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If 15 books cost $90, what is the unit price?
Answers
Answer:
$6/ book
Step-by-step explanation:
Unit price = Total cost/ total number of items
= 90/15
=$6 per book
explanation: 6*15 is 90
What is the quotient? of negative 3/8 ÷ negative 1/4
Answers
Answer:
3/2
Step-by-step explanation:
-3/8÷-1/4
=-3/8×-4 (Reciprocal)
=1.5
Find 250% of 60 please help thanks
Answers
Answer:
the answer is 150!
Step-by-step explanation:
250% of 60=150
tanx(1+cos2x)=sin2x prove the identity
Answers
Using double angle identity, we are able to prove tan(x)(1 + cos(2x)) = sin(2x).
What is the prove of the given identity?To prove the identity tan(x)(1 + cos(2x)) = sin(2x), we can start by using trigonometric identities to simplify both sides of the equation.
Starting with the left-hand side (LHS):
tan(x)(1 + cos(2x))
We know that tan(x) = sin(x) / cos(x) and that cos(2x) = cos²(x) - sin²(x). Substituting these values, we get:
LHS = (sin(x) / cos(x))(1 + cos²(x) - sin²(x))
Next, we can simplify the expression by expanding and combining like terms:
LHS = sin(x) / cos(x) + sin(x)cos²(x) / cos(x) - sin³(x) / cos(x)
Simplifying further:
LHS = sin(x) / cos(x) + sin(x)cos(x) - sin³(x) / cos(x)
Now, let's work on the right-hand side (RHS):
sin(2x)
Using the double angle identity for sine, sin(2x) = 2sin(x)cos(x).
Now, let's compare the LHS and RHS expressions:
LHS = sin(x) / cos(x) + sin(x)cos(x) - sin³(x) / cos(x)
RHS = 2sin(x)cos(x)
To prove the identity, we need to show that the LHS expression is equal to the RHS expression. We can combine the terms on the LHS to get a common denominator:
LHS = [sin(x) - sin³(x) + sin(x)cos²(x)] / cos(x)
Now, using the identity sin²(x) = 1 - cos²(x), we can rewrite the numerator:
LHS = [sin(x) - sin³(x) + sin(x)(1 - sin²(x))] / cos(x)
= [sin(x) - sin³(x) + sin(x) - sin³(x)] / cos(x)
= 2sin(x) - 2sin³(x) / cos(x)
Now, using the identity 2sin(x) = sin(2x), we can simplify further:
LHS = sin(2x) - 2sin³(x) / cos(x)
Comparing this with the RHS expression, we see that LHS = RHS, proving the identity.
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During a sale, a store offered a 25% discount on a bed that originally sold for $800. After the sale, the discounted price of the bed was marked up by 25%. What was the price of the bed after the markup? Round to the nearest cent.
Answers
The price of the bed after mark up is $475.00
What is discount?Discount results in the reduction of the selling price of the product, which makes it more attractive for the customer.
The first discount given is 25% , therefore the price of the bed before mark up is
25/100 × 800
= 25×8
= 200
the price before mark up = 800-200 = $600
Another 25% is given after the first sale, there the price of the bed after mark up is
25/100 × 600
=$ 125
price after markup = 600-125
= $475.00
therefore the price of the bed after markup is $475.00
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A
-pound bag of Kitty Kibbles is
. An
-pound bag of Feline Flavor is
. Which statement about the unit prices is true?
Feline Flavor has a higher unit price of
/pound.
Kitty Kibbles has a higher unit price of
/pound.
Kitty Kibbles has a higher unit price of
/pound.
Feline Flavor has a higher unit price of
/pound.
Answers
The statement about the unit prices which is true is Kitty Kibbles has a lower unit price of $1.30/pound.
The correct answer choice is option D.
How to solve unit prices?Cost of 16-pound bag of Kitty Kibbles = $20.80
Unit price of kitty kibbles = Price / number of pounds
= $20.80 / 16
= $1.30 per pound.
Cost of 8-pound bag of Feline flavor = $11.20
Unit price of feline flavor = Price / number of pounds
= $11.20 / 8
= $1.40 per pound
Ultimately, the unit price of kitty kibbles and feline flavor is $1.30 and $1.40 respectively.
Complete question:
A 16-pound bag of Kitty Kibbles is $20.80. An 8-pound bag of Feline Flavor is $11.20. Which statement about the unit prices is true?
A. Feline Flavor has a lower unit price of $1.40/pound.
B. Feline Flavor has a lower unit price of $1.30/pound.
C. Kitty Kibbles has a lower unit price of $1.40/pound.
D. Kitty Kibbles has a lower unit price of $1.30/pound.
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The cost of dress in a shop is 320.00 for more than more than the cast: If a customer of a pair of pays 305.00 for the turo items. How much does each cost.
Answers
The price of each of these be
A dress market at Rs.120 is 96A pair of shoes market at Rs.750 is 600A bag market at Rs.250 is 200.What is discount?The discount is determined by dividing the purchase price by the item's par value. Discount is a type of cost price reduction or deduction for a product. It is primarily employed in consumer interactions when discounts on various goods are offered to customers. A percentage represents the discount rate. (Discount List Price) 100 is the formula used to determine the rate of discount. The discount is the amount that is subtracted from the selling price in the formula. [(List price - Selling price)/List price] 100 is an additional formula for computing discount percentages.The simplest definition of a price is the sum of money exchanged by a buyer and seller for a good or service.A. Price \(}=\left(\frac{100 \%-20 \%}{100 \%}\right) * 120=\frac{80}{100} * 120=96 \\\)
B. Price =\(\left(\frac{100 \%-20 \%}{100 \%}\right) * 750=\frac{80}{100} * 750=600 \\\)
C. Price \(=\left(\frac{100 \%-20 \%}{100 \%}\right) * 250=\frac{80}{100} * 250=200\)
The complete question is.
A shop gives 20% discount. What would the price of each of these be?
A dress market at Rs.120
A pair of shoes market at Rs.750
A bag market at Rs.250
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What are the coordinates of points a
(-4,3)
(3,-4)
(-3,-4)
(-4,-3)
Answers
The vector ⇀
= ⟨2, 3⟩ is multiplied by the scalar –4. Which statements about the components, magnitude, and direction of the scalar product –4⇀
are true? Select all that apply.
A. The component form of −4⇀
is ⟨–8, –12⟩.
B. The magnitude of −4⇀
is 4 times the magnitude of ⇀
.
C. The direction of −4⇀
is the same as the direction of ⇀
.
D. The vector −4⇀
is in the fourth quadrant.
E. The direction of −4⇀
is 180° greater than the inverse tangent of its components.
Answers
Answer:
Therefore, the correct statements are A, B, and E.
Explanation:
Based on my knowledge, a vector is a quantity that has both magnitude and direction. A scalar is a quantity that has only magnitude. When a vector is multiplied by a scalar, the magnitude of the vector is multiplied by the absolute value of the scalar, and the direction of the vector is either preserved or reversed depending on the sign of the scalar.
To answer your question, we need to find the component form, magnitude, and direction of the scalar product –4⇀
.
- The component form of −4⇀
is obtained by multiplying each component of ⇀
by –4. Therefore, −4⇀
= ⟨–8, –12⟩. This means that statement A is true.
- The magnitude of −4⇀
is obtained by multiplying the magnitude of ⇀
by 4. The magnitude of ⇀
is √(2^2 + 3^2) = √13. Therefore, the magnitude of −4⇀
is 4√13. This means that statement B is true.
- The direction of −4⇀
is opposite to the direction of ⇀
because the scalar –4 is negative. This means that statement C is false.
- The vector −4⇀
is in the third quadrant because its components are both negative. This means that statement D is false.
- The direction of −4⇀
is 180° greater than the inverse tangent of its components because it is opposite to ⇀
. The inverse tangent of its components is tan^(-1)(–12/–8) = tan^(-1)(3/2). Therefore, the direction of −4⇀
is 180° + tan^(-1)(3/2). This means that statement E is true.
Therefore, the correct statements are A, B, and E.
Camila built a rectangular vegetable garden, as shown in the figure.
12 ft.
4 ft.
Camila wanted to create a second garden to grow even more vegetables. To determine the dimensions of her second
garden, she used a horizontal scale factor of 75% and a vertical scale factor of 150%. The horizontal measurement of
the second garden is 21
feet, and the vertical measurement of the second garden is 10
feet.
Answers
Use the Distributive Property to solve the equation. 3/5 (a +5.25) =7.35
Answers
Answer: a=7
Step-by-step explanation:
3/5 (a +5.25) =7.35
3/5a + (5.25*3/5)=7.35
3/5a + 3.15=7.35
-3.15 -3.15
3/5a=4.20
Divide both sides by 3/5
a=7
Answer:
3/5 (a)+3/5 (5.25) = 7.35
Factor these expressions.
x^2 + 7x + 10
Answers
Answer:
\((x+2)(x+5)\)
Step-by-step explanation:
Let's factor x2+7x+10
x2+7x+10
The middle number is 7 and the last number is 10.
Factoring means we want something like
(x+_)(x+_)
Which numbers go in the blanks?
We need two numbers that...
Add together to get 7Multiply together to get 10Can you think of the two numbers?
Try 2 and 5:
2+5 = 7
2*5 = 10
Fill in the blanks in
(x+_)(x+_)
with 2 and 5 to get...
(x+2)(x+5)
For a certain company, the cost function for producing x
items is C(x)=30x+200
and the revenue function for selling x
items is R(x)=−0.5(x−80)2+3,200
. The maximum capacity of the company is 130
items.
The profit function P(x)
is the revenue function R(x)
(how much it takes in) minus the cost function C(x)
(how much it spends). In economic models, one typically assumes that a company wants to maximize its profit, or at least make a profit!
Answers to some of the questions are given below so that you can check your work.
Assuming that the company sells all that it produces, what is the profit function?
P(x)=
Preview Change entry mode .
Hint: Profit = Revenue - Cost as we examined in Discussion 3.
What is the domain of P(x)
?
Hint: Does calculating P(x)
make sense when x=−10
or x=1,000
?
The company can choose to produce either 50
or 60
items. What is their profit for each case, and which level of production should they choose?
Profit when producing 50
items =
Number
Profit when producing 60
items =
Number
Can you explain, from our model, why the company makes less profit when producing 10 more units?
Answers
Answer: The profit function P(x) can be found by subtracting the cost function C(x) from the revenue function R(x), so:
P(x) = R(x) - C(x) = (-0.5(x-80)^2 + 3,200) - (30x + 200)
The domain of P(x) is the set of all possible values of x for which the profit calculation makes sense. In this case, the company has a maximum capacity of 130 items, so the domain of P(x) is 0 <= x <= 130.
To calculate the profit when producing 50 items and 60 items, we simply plug in these values for x in the profit function:
Profit when producing 50 items = P(50) = (-0.5(50-80)^2 + 3,200) - (30 * 50 + 200) = $2350
Profit when producing 60 items = P(60) = (-0.5(60-80)^2 + 3,200) - (30 * 60 + 200) = $2280
Since the profit is higher for producing 50 items, the company should choose to produce 50 items.
From our model, we can see that as the production increases, the cost also increases linearly with a slope of 30, while the revenue increases parabolically but with a negative slope, meaning that after reaching a certain point, the increase in revenue becomes slower compared to the increase in cost. This is why the profit decreases as the production increases, and therefore the company makes less profit when producing 10 more units.
Step-by-step explanation:
The concession stand at a football game sells hot dogs and drinks. It costs $4.25 for 2 hot dogs and 1 drink. It costs $7.00 for 3 hot dogs and 2 drinks. Which of the following systems of equations can be solved to determine the cost, h, of each hot dog and the cost, d, of each drink
Answers
Answer:
h = $1.50
d = $1.25
Step-by-step explanation:
$1.50 + $1.50 = $3 + $1.25 = $4.25
$1.50 + $1.50 + $1.50 = $4.50 + $1.25 + $1.25 = $7
Answer:
2h + 1d = 4.25
3h + 2d = 7.00
Step-by-step explanation:
-3(2h + 1d) = -3(4.25)
2 (3h + 2d) = 2(7.00)
-6h - 3d = -12.25
6h + 4d = 14
if we add them together we get D = 1.75
Checking:
2h + 1(1.75) = 4.25
2h + 1.75 = 4.25
2h = 2.5
h = 1.25
1.25 times 2 plus 1.75 = 4.25
what do they mean, (Grade 10 real numbers)
Answers
X is a positive rational number greater than 1. If the two integers that make up the ratio are both positive, then the numerator must be greater than the denominator for the value of the ratio to be greater than 1.
So now let's look at subtracting the numerator and the denominator. We know that p > q and they are both positive integers.
So, p - q must be a positive integer greater than 1 because it is a positive integer subtracted by a smaller positive integer.
A water tank holds 216 gallons but is leaking at a rate of 3 gallons per week. A second water tank holds 324 gallons but is leaking at a rate of 5 gallons per week. After how many weeks will the amount of water in the two tanks be the same?
Answers
Answer:
54
Step-by-step explanation:
216 - 3x = 324 -5x
subtract 216 from both sides
add 5x to both sides
divide both sides by 2x.
matt had 4/6 bag of peanuts. He ate a quarter of what was in the bag. How much of a full bag of peanuts did Matt eat?
Answers
Matt ate 1/6 of the bag of peanut
How to calculate the amount of peanut that matt ate?
Matt had 4/6 bag of peanut
He ate a quarter of what was in the bag
The amount of peanut he ate can be calculated as follows
= 4/6 × 1/4
= 4/24
= 1/6
Hence Matt ate 1/6 of the bag of peanut
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What is 61 divided by 15 as a fraction?
Answers
Answer:
4 1/15 simpilied MIGHT BE WRONG
Step-by-step explanation:
If there are 5 squares, 1 triangle, and 2 circles in a box, what is the possibility of choosing a square? description, fraction
Answers
Answer:
If they all have an equal chance of being chosen, it would be 5/8th
Step-by-step explanation:
There are 8 shapes, and we are looking for 1 type. Our equation is:
\(\frac{1}{8} * s\), where \(s\) is the amount of the shape in the box.
1 over 8 * s, and s=5 because there are 5 squares, which means
The chance is one-eighth, or 1/8.
I apologize if I am incorrect.
A veterinarian is preparing medicine for a 35-pound dog. The dosage of the medicine is 1/4 ounce for every pound the dog weighs. How much of the medicine should the vet give the dog?
Answers
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Brandon invests $5800 in two different accounts. The first account paid 3 %, the second account paid 8 % in interest. At the end of the first year he had earned $229 in interest. How much was in each account?
$ ___ at 3 %
$ ____ at 8 %
Answers
Interest is a fee charged by a lender to a borrower for the use of money or credit, usually expressed as a percentage of the amount borrowed or invested over a period of time. Brandon invested $\(4700\) at 3% interest and $\(1100\) at \(8\)% interest. The total interest earned after one year is $229
How much was in each account?
Let x be the amount invested in the first account that pays 3% interest, and let y be the amount invested in the second account that pays 8% interest. Since the total amount invested is $5800, we have:
\(x + y = 5800\)
The amount of interest earned on the first account is 0.03x, and the amount of interest earned on the second account is 0.08y. Since the total interest earned after one year is $229, we have:
\(0.03x + 0.08y = 229\)
We now have two equations with two unknowns:
\(x + y = 5800\)
\(0.03x + 0.08y = 229\)
We can solve for x and y by using elimination or substitution method. Here, we will use the substitution method.
Solve the first equation for x:
\(x = 5800 - y\)
Substitute this expression for x into the second equation and solve for y:
\(0.03(5800 - y) + 0.08y = 229\)
\(174 - 0.03y + 0.08y = 229\)
\(0.05y = 55\)
\(y = 1100\)
Now substitute this value of y into either equation to solve for x:
\(x + 1100 = 5800\)
\(x = 4700\)
Therefore, Brandon invested $\(4700\) at 3% interest and $\(1100\) at \(8\)% interest.
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Please answer and explain both in laymens terms
Answers
After considering the given data we come to the conclusion that the area to the left of z is 0.982, which is Option D. And the standard deviation of the given data is 87.6, which is Option C.
In order to calculate the area to the left of z=2.09 we have to apply the z-table:
1. Search for the row that starts with "2.0" in the leftmost column of the z-table.
2. Then for the column that starts with "0.09" in the top row of the z-table.
3. Here the value at the intersection of this row and column is 0.9821.
4. Finally round this value to three decimal places to get 0.982.
Hence , the area to the left of z=2.09 is 0.982.
Now for the second part of the question
Applying the given data set {10, 26, 84, 48, 250, 56}, we can evaluate the standard deviation as follows:
1. Evaluate the mean:
mean = (10 + 26 + 84 + 48 + 250 + 56) / 6 = 74
2. Applying subtraction of the mean from each data point:
{10 - 74, 26 - 74, 84 - 74, 48 - 74, 250 - 74, 56 - 74}
= {-64, -48, 10, -26, 176, -18}
3. Applying square of the result of step 2:
{(-64)², (-48)², (10)², (-26)², (176)², (-18)²}
= {4096, 2304, 100, 676, 30976, 324}
4. Exercising summation of the result of step 3:
4096 + 2304 + 100 + 676 + 30976 + 324
= 38176
5. Applying division of the result of step 4 by the number of data points (n):
standard deviation = √(38176 / (6 -1))
= √7625.2)
≈ 87.6.
Therefore, the answer is 87.6
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On a map, the distance between Dallas, TX and Memphis, TN is 57.5 cm. What is the actual distance if the map scale is 1 cm:8 mi.?
A) 4.6 mi
B) 46 mi
C) 460 mi
D) 4,600 mi
Answers
For a left-tailed test based on a sample of 18 observations with the test statistic t = 1.9, what is the associated p-value?
Answers
The associated p-value for this left-tailed t-test is 0.0359 or 3.59%.
Now, The p-value for a one-tailed t-test with a sample size of 18 and a test statistic of 1.9,
Hence, we need to look up the t-distribution table.
So, Using a one-tailed test with,
df = n - 1
= 18 - 1 = 17 degrees of freedom
We find that the area to the left of 1.9 under the curve is 0.0359.
This means that there is a 3.59% probability of observing a t-statistic less than or equal to 1.9 if the null hypothesis is true.
Therefore, the associated p-value for this left-tailed t-test is 0.0359 or 3.59%.
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Evaluate |x - y| + 4 if x = -1, y = 3, and z = -4.
Answers
Answer:
8
Step-by-step explanation:
Substitute the values in the expression, we have:
\(\displaystyle{|-1-3|+4}\)
Evaluate:
\(\displaystyle{|-4|+4}\)
Any real numbers in the absolute sign will always be evaluated as positive values. Thus:
\(\displaystyle{|-4|+4 = 4+4}\\\\\displaystyle{=8}\)
Hence, the answer is 8. A quick note that z-value is not used due to lack of z-term in the expression.
a triangle has one side length of 9cm and another side of .12cm what are 3 possible answers for the third side
Answers
If a triangle has one side length of 9cm and another side of .12cm . The 3 possible answers for the third side are: 17, 20, and 21.
What are the possible lengths for the third side?To determine the possible lengths for the third side of the triangle, we can use the triangle inequality theorem, which states that the sum of any two sides of a triangle must be greater than the third side.
Using this theorem, the possible lengths for the third side can be found by checking which of the following inequalities hold:
9 + 12 > x
9 + x > 12
12 + x > 9
Simplifying these inequalities, we get:
x > -3 (always true)
x > -9 (always true)
x > -3 (always true)
Therefore, the possible lengths for the third side of the triangle must satisfy x > -9, which eliminates the answer 3 (which is less than 9 - 12 = -3).
The possible lengths for the third side are:
9 + 12 > x, so x < 21
9 + x > 12, so x > -3
12 + x > 9, so x > -3
Therefore, the possible lengths for the third side of the triangle are:
17 (9 + 12 = 21, which is greater than 17)
20 (9 + 12 = 21, which is greater than 20)
21 (9 + 12 = 21, which is equal to 21)
So, the three possible lengths for the third side of the triangle are 17, 20, and 21.
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The complete question is:
A triangle has one side length of 9
centimeters (cm) and another side length of 12
cm.
Which answers are possible lengths for the third side?
Select three that apply
17
22
9
21
20
3
Calc II Question
Sketch the region enclosed by the given curves and find its area.
Y = lxl , y = x^2 - 2
Answers
Answer:
\(\displaystyle A=\frac{20}{3}\)
Step-by-step explanation:
\(\displaystyle A=\int^2_{-2}(|x|-(x^2-2))\,dx\\\\A=2\int^2_0(x-(x^2-2))\,dx\\\\A=2\int^2_0(-x^2+x+2)\,dx\\\\A=2\biggr(-\frac{x^3}{3}+\frac{x^2}{2}+2x\biggr)\biggr|^2_0\\\\A=2\biggr(-\frac{2^3}{3}+\frac{2^2}{2}+2(2)\biggr)\\\\A=2\biggr(-\frac{8}{3}+2+4\biggr)\\\\A=2\biggr(-\frac{8}{3}+6\biggr)\\\\A=2\biggr(\frac{10}{3}\biggr)\\\\A=\frac{20}{3}\)
Bounds depend on whether you use -x or +x instead of |x|, but you double regardless. See the attached graph for a visual.
