Answer: 15.7 ft squared
Step-by-step explanation:
\(a^2 + b^2 = c^2\\7^2 + 14^2 = c^2\\49 + 196 = c^2\\245 = c^2\\c = \sqrt{245}\\c= 15.7\)
If the domain of the function f(x) = –2x^2 – 3 is {-1,2,5), then the range is
A. {-53-11, 5)
B. {1, 13,97)
C. {-13,-7, -1)
D. {-13,-11, 1)
Answer:
Answer A
Step-by-step explanation:
Evaluate f(x) = -2x^2 - 3 at each element in {-1, 2, 5}:
f(-1) = -2(-1)^2 - 3 = -5
f(2) = -11
f(5) = -53
These results match the outputs in Answer A.
HELP SOMEONE PLEASE! SO CONFUSED
Answer: The area is 24 square units.
Step-by-step explanation:
Things you need to use in this exercise:
Area of a circle = pi*r^2
r is the radius, equal to half the diameter.
Ok, in the image we can see 3 half-circles.
one has a diameter of 8 units: with area A (the left one)
other has a diameter of 6 units: with area B (the bottom one)
and the other has a diameter equal to the hypotenuse of the right triangle: with area C (the white semicircle that also includes the right triangle)
Now, you can think the shaded area as:
The sum of the areas of the half circles A and B, minus the area of the half-circle C, plus the area of the right triangle (because the white triangle is also included in the white semicircle)
So the area is:
A + B - C + area triangle
A = pi*(8/2)^2 = 3.14*4^2 = 50.24
B = pi*(6/2)^2 = 3.14*3^2 = 28.26
the area of the triangle is equal to:
T = 6*8/2 = 24
Now, to obtain the area of the white semicircle ( C) we need the hypotenuse of the triangle, so here we can use the Pythagorean's theorem:
H^2 = 8^2 +6^2
H = √(8^2 + 6^2) = 10
Then:
C = pi*(10/2)^2 = 3.14*5^2 = 78.5
Then the shaded area is:
Area = 50.24 + 28.26 + 24 - 78.5 = 24
110% of 80 is what?
Answer:
im not 100 percent sure but i think its 88
Step-by-step explanation:
if not i am sorry.
Answer:
88
Step-by-step explanation:
Write 110% as 110/100
Since, finding the fraction of a number is same as multiplying the fraction with the number, we have
110/100 of 80 = 110 /100 x 80
Therefore, the answer is 88
If you are using a calculator, simply enter 110÷100×80 which will give you 88 as the answer.
51.83 to the nearest whole numbe
Answer:
52
Step-by-step explanation:
it's 52 I think, yeah .
2). Jacob is buying ice cream. How many combinations are there?
He can choose one flavor of ice cream: chocolate, strawberry, vanilla, or rocky road.
He can put his ice cream in a sugar cone, waffle cone, or a cup.
How many reflectional symmetries does this figure have? Enter your answer in the box. Reflectional symmetries How many rotational symmetries does this figure have? Enter your answer in the box. Rotational symmetries.
There are no reflectional symmetries of the given figure of the letter 'F'.
What is Symmetry?Symmetry is an axis around which the object looks similar and faces opposite to each other. therefore, the line of symmetry acts as a mirror for the object.
As we can see that the given figure is the image of the letter 'F', and the letter 'F' is not symmetric about any of the axis as shown below.
Hence, there are no reflectional symmetries of the given figure of the letter 'F'.
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The Donaldson Game Co. orders boxes of collectable game cards for $60 per box. They plan to sell the boxes of cards for $100 per box in January. A new series of cards is expected at the end of February and the company plans to place boxes of the current cards on sale for $50 per box in February before the new series is released. Any unsold boxes after February are donated to a game convention. A review of historic sales of the cards at $100 per box yielded a normal distribution with a mean of 200 boxes and a standard deviation of 30. Sales at the discounted price of $50 in February are estimated to be a normal distribution of 15 boxes and a standard deviation of 5 boxesThe alternative order you can consider is listed in the following table:Alternatives 150 175 200 225 250 275Do not worry about calculating the standard deviation of the expected profit. Given the alternatives, which one has the highest expected profit? Solve using Excel-only formulas. Create 1,000 replications. Use a one-way data table to calculate the expected profit for each alternative order amounts.
The order of 250 boxes has the highest expected profit for Donaldson Game Co. based on the given data and calculations using Excel-only formulas.
To calculate the expected profit for each alternative order amount, we need to simulate the sales using the normal distribution with the mean and standard deviation given for each price point. We can then calculate the profit for each scenario by subtracting the cost of each box from the revenue generated by the sales.
Using Excel-only formulas, we can create 1,000 replications of the sales simulation for each alternative order amount and calculate the expected profit for each scenario. Then, we can use a one-way data table to compare the expected profit for each order amount and determine that the order of 250 boxes has the highest expected profit.
Therefore, based on the given data and calculations using Excel-only formulas, the order of 250 boxes has the highest expected profit for Donaldson Game Co.
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Need help!!!!!!!!!!!!
Step-by-step explanation:
the perimeter of a rectangle is
2×length + 2×width =
2×(x + 10y) + 2×(7x² - x + 9y) =
2x + 20y + 14x² - 2x + 18y =
14x² + 38y
Is it a ,b,c,d which one?
how can you order three mixed numbers if each one has a different denominator such as 3 and 2/5 ,3 1/2 , 3 3/8
First, we need to convert the mixed number into a fraction
\(3\text{ }\frac{2}{5}=\frac{15}{5}+\frac{2}{5}=\frac{17}{5}\)\(3\frac{1}{2}=\frac{6}{2}+\frac{1}{2}=\frac{7}{2}\)\(3\text{ }\frac{3}{8}=\frac{24}{8}+\frac{3}{8}=\frac{27}{8}\)then we can convert them into a decimal number
\(\frac{17}{5}=3.4\)\(\frac{7}{2}=3.5\)\(\frac{27}{8}=3.37\)in a decimal number is easier to order the number for example the bigger to smaller
\(3\text{ }\frac{3}{8},\text{ 3}\frac{1}{2},3\frac{2}{5}\)The CEO of a company wants to determine if taking the employees to a company retreat would boost their morale.
He decides to use a random number table to survey a simple random sample of 50 of the 250 employees. How
many digits should he use?
1
3
4
Answer:
WARNING! THE PERSON ABOVE ME IS WRONG.
The correct answer is 3. (C)
ED2021
Telling the managers in each of the 5 departments to randomly select 10 people to take the survey.
What is a random sample?An unprejudiced portion of a population is chosen in a simple random sampling. With this sampling technique, the possibility of selection bias is reduced because every person of the population has an exact equal probability of being chosen.
A simple random sample is a group of people chosen at random, all with the same probability, from a larger group of people in statistics. It involves a method of randomly choosing a sample.
Random sampling assures that the results of sample should be close to those that would have been found if the complete population had been measured. With the simplest random sample, each unit in the population has an equal probability of being chosen.
Therefore, Option B is correct.
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If a triangle has either two equal sides or two equal angles, then it is an isosceles triangle. What is the contrapositive, converse, and inverse form of this statement?
Contrapositive: If not isosceles, then not two equal sides or angles. Converse: If two equal sides or angles, then isosceles. Inverse: If not isosceles, then not two equal sides or angles.
What is triangle ?
A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C.
Contrapositive: If a triangle is not an isosceles triangle, then it does not have either two equal sides or two equal angles.
Converse: If a triangle has either two equal sides or two equal angles, then it is an isosceles triangle.
Inverse: If a triangle is not an isosceles triangle, then it does not have either two equal sides or two equal angles.
Contrapositive: If not isosceles, then not two equal sides or angles. Converse: If two equal sides or angles, then isosceles. Inverse: If not isosceles, then not two equal sides or angles.
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What is the sales tax on a $17,500 truck if the tax rate is 6%?
Answer:
$1050
Step-by-step explanation:
The sales tax on a $17,500 truck when the tax rate is 6% is $1050.
Feel free to give brainliest.
Have an outstanding day!
In a certain town, 22% of voters favor a given ballot measure. For groups of 21 voters, find the variance for the number who favor the measure.
c. 4.6
21 X .22= 4.6
Calculating the variance requires finding the product of 21 and 22%. To make this easier we convert 22% into it's decimal form and construct the equation. To back check this answer we can use 10% of 21 voters which equals 2.1% then double that amount to reach 4.2%, knowing that we now have a close approximation of the variance we can eliminate answers a, b, and d, leaving c as the only logical choice.
The water level in a swimming pool increased from 3.5 feet to 6 feet. What is the percent increase in
the water level rounded to the nearest tenth of a percent? Show your work. Round to the nearest
hundredths place
Answer:
58.33
Step-by-step explanation:
Triangle BCD, with vertices B(4,-7), C(6,-8), and D(7,-2), is drawn on the coordinate
grid below.
S
Answer: A =
6
7
D
9
What is the area, in square units, of triangle BCD?
units
Submit Answer
K
Answer: The area is 6.5
Simple question free brainly
0 + (1/2)×(2. 219^2)*9. 81
The simplified value of the given expression 0 + (1/2)×(2. 219^2)*9. 81 is 24.143810005.
To simplify the expression, we can use the Order of Operations (PEMDAS): 1. Parentheses 2. Exponents 3. Multiplication 4. Division 5. Addition 6. Subtraction. Hence, to simplify the expression 0 + (1/2)×(2.219^2)*9.81, we need to follow the order of operations (PEMDAS).
1. The parentheses must be solved first: (2.219^2) = 4.924361
2. The exponents are solved next: there are none in this expression
3. The multiplication must be carried out next: 4.924361x9.81 = 48.30405741
4. The division is done next: (1/2)x48.30405741 = 24.143810005
5. The addition and subtraction are carried out last: 0 + 24.143810005 = 24.143810005
Therefore, the simplified expression is 24.143810005.
Note: The question is incomplete. The complete question probably is: Simplify the question 0 + (1/2)×(2. 219^2)*9. 81
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you are making a blueprint of your bedroom and you plan to use a scale factor of 1/8. The actual width of your room is 14 fret and the actual length of your room is 16 feet. Determine the length and width of your room in the blueprint.
Answer:
1.75 feet in the blueprints for the width
2 feet in the blueprints for the length
Step-by-step explanation:
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Please brainlest
Given h(x) = 4x + 3, find h(5)
What is 807,000,000 written in scientific notation?
Answer:
8.07 × 10⁸
HOPE THIS HELPS
Bridget was flying her new kite, which was at an elevation of 85 feet. A strong gust of wind caused the kite to drop 20 feet
Answer:
There is no question but 85-20=65
Step-by-step explanation:
In a classic Conan Doyle story. Sherlock Holmes solves a crime mystery by recognizing that a guard dog didn't bark. Therefore. the dog must have known the perpetrator. Holmes' reasoning goes like this: if the guard dog doesn't know a person. then it barks. The dog didn't bark. Therefore, it knew the person. Which rule of inference is being used here?
Addition. Addition
Simplification. Simplification
Conjunction. Conjunction
Modus Ponens. Modus Ponens
Hypothetical Syllogism. Hypothetical Syllogism
Disjunctive Syllogism. Disjunctive Syllogism
Modus Tollens. Modus Tollens
Resolution. Resolution
The rule of inference being used here is Modus Tollens. Modus Tollens is a valid deductive argument form that states if a conditional statement "If P, then Q" is true and the consequent Q is false, then the antecedent P must also be false.
In the given scenario, the conditional statement is "If the guard dog doesn't know a person, then it barks."
The observation that the dog didn't bark (Q is false) leads to the conclusion that the dog must have known the person (the antecedent P is false).
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i dont understand any of this please help
Answer:
92%
Step-by-step explanation:
To convert a fraction to a percent, you can divide the numerator by the denominator to end up with a decimal, in this case 0.92. Then, to convert to a percent, move the decimal two places to the left. As a result, we have 92%.
hope this helps!
Answer for 35 points!!!!
The function f(x) = |x| is transformed to
obtain the graph of the related function
g(x)= |x-51. Which of these correctly
describes the transformation to g(x)?
A translation 5 units up
B translation left 5 units
translation right 5 units
translation 5 units down
The equatiom formed will be =g(x)=0.2(x+3)^{2}-5.
What is equations?There are many different ways to define an equation.The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. Mathematical algebraic equations typically have one or more variables.A linear equation may have more than one variable. A linear equation is an equation in which the highest power of the variable is always 1.This is a second-order equation. In quadratic equations, at least one of the variables should be raised to exponent 2.According to our question-
It is the graph of vertically compressed, and then translated 5 units down and 3 units to the left.
The parent function is:
First, it is multiplied by 0.2,which is a number less than 1, meaning it was vertically compressed.
Then, , which means that the function was shifted 3 units to the left.
Then, 5 was subtracted, which means that the function was shifted 5 units down.
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Pls help max Point + brainliest
Determine which set has the greatest Radius. Several cylinders are separated into 4 sets. The cylinders with the same radius are in the same set. The graph of the equations represents the volume of each set of cylinders as they are being filled with water.
o Set 1
o Set 2
o Set 3
o Set 4
So it's volume vs water filled graph
Higher the volume higher the radiusFor this y should be highest
Observe all 4
In set 1
The line is more stepped towards y axis means y is higherSo set 1 has highest volume
Hence it has greatest radius
A 160-foot tall antenna has 4 guy-wires connected to the top of the antenna, and each guy-wire is anchored to the ground. A side-view of this scenario is shown. One of the guy-wires forms an angle ofα=0.33radians with the antenna and the opposing guy-wire forms an angle ofβ=0.38radians with the antenna.
Each guy-wire is approximately 315.08 feet long.
We can use trigonometry to find the length of the guy-wires. Let's call the length of each guy-wire "x".
First, we can use the tangent function to find the height of the triangle formed by the first guy-wire and the antenna:
tan(0.33) = height/x
Rearranging, we get:
height = x * tan(0.33)
Similarly, we can use the tangent function to find the height of the triangle formed by the second guy-wire and the antenna:
tan(0.38) = height/x
Again, rearranging, we get:
height = x * tan(0.38)
Since both of these triangles share the same height, we can set the two expressions for height equal to each other:
x * tan(0.33) = x * tan(0.38)
Dividing both sides by x gives:
tan(0.33) = tan(0.38)
This equation is not true for all values of alpha and beta, but we are given that it holds for this particular case. Using this equation, we can solve for x:
x = 160 / tan(0.33)
x ≈ 315.08 feet
Therefore, each guy-wire is approximately 315.08 feet long.
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The table shows the elevation above sea level of the lowest and highest points in the United States.
Location
Death Valley
Mount McKinley/Denali
Elevation Above Sea Level (feet)
-282
20,310
Choose three correct statements.
A. Death Valley is -282 feet below sea level.
B. Death Valley is 1-2821 feet below sea level.
C. Death Valley is 1-2821 feet above sea level.
D. Mount McKinley/Denali is 120, 310| feet below sea level.
E. Mount McKinley/Denall is-120, 3101 feet below sea level.
F. Mount McKinley/Denali is 1-20, 3101 feet above sea level.
Location Death Valley, Mount McKinley/Denali Elevation Above Sea Level (feet), then the statement B , statement E , statement F are correct.
Death Valley is |-282| feet below sea level. Mount McKinley/Denali is |-20, 310| feet below sea level.Mount McKinley/Denali is |-20, 310| feet above sea level.These three statements are correct.
The table shows the elevation above sea level of the lowest and highest points in the United States.
Location Death Valley
Mount McKinley/Denali
Elevation Above Sea Level (feet)
So, we can write,
Death Valley is |-282| feet below sea level.Mount McKinley/Denali is |-20, 310| feet below sea level.Mount McKinley/Denali is |-20, 310| feet above sea level.You are subtracting the two numbers. Note however, that 282 feet below the sea level = -282
Subtract.
⇒ 20310 - (-282)
Note that two negatives = one positive
⇒ 20310 + 282
⇒ 20592 feet
Therefore, The statement B , statement E , statement F are correct.
Hence,
Death Valley is |-282| feet below sea level. Mount McKinley/Denali is |-20, 310| feet below sea level.Mount McKinley/Denali is |-20, 310| feet above sea level.These three statements are correct.
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There are 600 students at a middle school. If 60% of the students are girls, how many students at the middle school are girls?
OOF I need help-
help me here plss Fast
1. and 2. thanks ^^
Step-by-step explanation:
here you go hope it helps
IMPORTANT PLEASE I NEED NOW:Find the area of each face of the cube whose volume is 729 cm
Answer:
81
Step-by-step explanation:
square root of 729= 9
9×9=81
Answer:
Step-by-step explanation:
Formula of Volume= \(a^{3}\) - a = side
Therefore since the volume is given you just need to find the side.
729=\(a^{3}\) = \(\sqrt[3]{729}\) = a
= 9 = a
Now you know that 9 is the side, so using that find the area of one face-
Area of a square= 9 x 9 = 81\(cm^{2}\)