Answer:
The answer would be 17
Step-by-step explanation:
Answer:
x = 17
Step-by-step explanation:
Pythagorean Theorem: a^2 + b^2 = c^2
15^2 + 8^2 = c^2 (15^2 = 225 and 8^2 = 64)
225 + 64 = 289
\(\sqrt{289}\) = 17
15, 16, 19, 20 how do i label it pls help
The quadrant of the terminal side for 15) is fourth quadrant.
How to change radians in degree?To change from radians to degrees, you need to the multiple the number of radians by 180/π.
Multiple the number of radians by 180/π.
15) 5 radians = 5 * (180/π)
16) 11π/6 = (11*180)/6 = 330.
19) 3.5 = 3.5*(π/180) degree.
20) 1 = 1*(π/180) degree.
therefore, terminal side for 15) is fourth quadrant.
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Solve the equation 6(x-5) =12
Answer:
x=7
Step-by-step explanation:
6(x-5)=12
We will use the distributive property to get the answer of 6(x-5)
6(x-5)=12
6x-30=12
6x=12+30
6x=42
6x/6=42/6
x=7
Proof:
6(x-5)=12
6(7-5)=12
42-30=12
12=12 or
6(7-5)=12
6(2)=12
12=12
Hope this helps ;) ❤❤❤
Aidan wants to rent a car while on a trip to Europe. He can rent a sedan that holds 70.1 liters of gasoline, or a sports car that holds 4,930 centiliters of gasoline. How many more liters of gasoline can the sedan hold?
Suppose that a computer chip company has just shipped 10 comma 000 computer chips to a computer company. Unfortunately, 40 of the chips are defective. (a) Compute the probability that two randomly selected chips are defective using conditional probability. (b) The probability that the first randomly selected chip is defective is StartFraction 40 Over 10 comma 000 EndFraction equals 0.004 equals 0.4 % . Compute the probability that two randomly selected chips are defective under the assumption of independent events. (a) The probability is nothing.
Answer:
approx 0,000016 or 0,0016%
Step-by-step explanation:
The probability that first selected chip is defective is 40/10000=4/1000
So only 39 defective chps left amoung 9999 chips.
So the probability that second randomly selected chip is defective as well is
39/9999= 13/3333=approx 0.004
The probability that both chips are defective is
P(both=defective)=0.004*0.004= 0.000016 or 0.0016%
If a:b=b:3=3 then find the value of a.
Answer:
b:3=3
⇒b=1
a:b=3
⇒a:1=3
⇒a=1/3
Step-by-step explanation:
In a lottery, the top cash prize was $642 million, going to three lucky winners. Players pick five different numbers from 1 to 56 and one number from 1 to 49.
Save
A player wins a minimum award of $225 by correctly matching three numbers drawn from the white balls (1 through 56) and matching the number on the gold ball (1 through 49). What is the probability of winning the minimum award?
The probability of winning the minimum award is
Total number of possible outcomes:
Number of ways to choose 3 numbers from 56 (56 choose 3): 56! / (3! * (56 - 3)!) = 22,957
Number of ways to choose 1 number from 49: 49
Total number of possible outcomes = 22,957 * 49 = 1,128,593
Number of favorable outcomes:
Number of ways to choose 1 number from 49: 1
Number of favorable outcomes = 1
Probability of winning the minimum award:
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 1 / 1,128,593 ≈ 0.000000888, or approximately 0.0000888%
Scientists are preparing two satellites to be launched. The satellite, Space Explorer B, flies 74400 miles in 12 hours. The table below represents the number of miles, yy, that the satellite, Space Explorer A, flies in xx hours.
How much faster does Space Explorer B travel per hour than Space Explorer A?
The difference in speed between Explorer B and Explorer A is 600 miles per hour.
How much faster is the Space Explorer B?In order to determine how fast the satellites are travelling, the average speed of the satellites have to be calculated. Average speed is the total distance covered per time.
Average speed = total distance / total time
Average speed of Space Explorer B = 74,400 / 12 = 6,200 miles per hour
Average speed of Space Explorer A = 72,800 / 13 = 5,600 miles per hour
Difference in speed = 6,200 miles per hour - 5,600 miles per hour = 600 miles per hour.
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I don't understand how you get 19. I understand that 16 is the slope, and you're attempting to solve for y-bar, but how does that come to 19? Thank you!
In other words, when x is equal to -3, the y-value of the line is 19. This is how you get the value of 19.
What is value?Value is the worth of something in terms of its usefulness or importance. It can also refer to the moral principles and beliefs that guide how a person or group of people live. Values change over time, depending on the culture and context. For example, respect for one's elders might be a value in one culture, while in another it might be more important to be self-reliant. Value is also used in economics to refer to the worth of a good or service in terms of money.
The answer lies in the formula for the equation of a line: y = mx + b, where m is the slope, x is the input value, and b is the y-intercept.
In this case, m is 16 and x is -3, so when you plug those values into the equation, you get y = 16(-3) + b. To solve for b, we need to subtract 16(-3) from both sides of the equation, which gives us b = 19. Therefore, the y-intercept of the line is 19.
In other words, when x is equal to -3, the y-value of the line is 19. This is how you get the value of 19.
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What is one and a half pounds expressed as a decimal
Answer:
1.5
Step-by-step explanation:
one pound is one, then half a pound is 0.5 - add to get 1.5
arielle owns levitt construction corporation she needs a welder and is placing a seven.line classifies ad the.cost of.an ad that is x line long is given by the following piecewise function find the cost of a seven line ad
The total cost of 7- line ad is 48.
what is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
function, f(x)= \(\left \{ {{33} \;\;\;\;\;\;\; x \geq 4 \atop {33+5(x-4)}} \right.\), x<4
Now, because 7>4 then the equation used is
33 + 5(x-4)
Now, put x= 7
c(7)= 33 + 5(7- 4)
C(7) = 33+ 15
C(7)= 48
Hence, the total cost of 7- line ad is 48.
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a park has a 3 meter (m) tall tether ball pole and a 6.8 m tall flagpole. the lengths of their shadows are proportional to their heights. which of the following could be the lengths of the shadow?
Which of the following represents the difference quotient for f of x is equal to 4 over x question mark
the quantity 4 times x plus h end quantity over the quantity x times h times the quantity x plus h end quantity
negative of the quantity 4 times x minus h end quantity over the quantity x times h times the quantity x plus h end quantity
4 over the quantity x times the quantity x plus h end quantity
negative 4 over the quantity x times the quantity x plus h end quantity
The difference quotient is simply how the average rate of change compares over an interval.
The difference quotient of \(\mathbf{f(x) = \frac 4x}\) is \(\mathbf{-\frac{4}{x + h}}\)
The function is given as:
\(\mathbf{f(x) = \frac 4x}\)
The difference quotient for f(x) is calculated using:
\(\mathbf{Difference\ quotient = \frac{f(x + h) - f(x)}{h}}\)
We have:
\(\mathbf{f(x) = \frac 4x}\)
Substitute x + h for x
\(\mathbf{f(x + h) = \frac 4{x + h}}\)
The difference quotient becomes
\(\mathbf{Difference\ quotient = \frac{f(x + h) - f(x)}{h}}\)
\(\mathbf{Difference\ quotient = \frac{\frac{4}{x + h} - \frac{4}{x}}{h}}\)
Take LCM
\(\mathbf{Difference\ quotient = \frac{\frac{4x - 4x - 4h}{x + h}}{h}}\)
\(\mathbf{Difference\ quotient = \frac{\frac{- 4h}{x + h}}{h}}\)
Rewrite as:
\(\mathbf{Difference\ quotient = \frac{- 4h}{x + h} \div h}\)
Express as products
\(\mathbf{Difference\ quotient = \frac{- 4h}{x + h} \times \frac 1h}\)
\(\mathbf{Difference\ quotient = \frac{- 4}{x + h}}\)
\(\mathbf{Difference\ quotient = -\frac{4}{x + h}}\)
Hence, the difference quotient of \(\mathbf{f(x) = \frac 4x}\) is \(\mathbf{-\frac{4}{x + h}}\)
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What is the meaning of conditionally promoted in school
Simplify using the order of operations. 2+6*8=
Answer:
The answer is 50.
Step-by-step explanation:
Use MDAS
Multiplication, Division, Addition and Subtraction
2 + 6 * 8 =
Multiply first then add
2 + 6*8 = ?
= 2 + 48
= 50
Determine the measure of the third angle in a triangle when the other two angles total 165 degrees.
Answer:
15
Step-by-step explanation:
180-15
Hello!
the sum of the angles in the triangle = 180°
so the 3rd angle = 180° - 165° = 15°
The answer is 15°How to solve problem?
Answer:
m<ADE = 57 degrees
Step-by-step explanation:
Angles of a quadrilateral add up to 360. We are already given 69 and 45, which can both be subtracted from 360, leaving us with 246. Since the two remaining angles are congruent, 246 can be divided by 2 to find the remaining measure(s). We are left with 123. However, m<ADE is supplementary to this. So we subtract 123 from 180. The final answer is 57 degrees.
Please help need help
Answer:
because the price of 2 adult tickets and 4 child tickets is $48
=> 2x + 4y = 48 (*)
the price of 5 adult tickets and 2 child tickets is $64
=> 5x + 2y = 64 (**)
from (*) to (**), we have:
\(\left \{ {{2x+4y=48} \atop {5x+2y=64}} \right.\\\\<=>\left \{ {{10x+20y=240} \atop {10x+4y=128}} \right.\\\\=>\left \{ {{20y-4y=240-128} \atop {2x+4y=48}} \right.\\\\<=>\left \{ {16y=112} \atop {2x+4y=48}} \right.\\\\<=>\left \{ {{y=7} \atop {x=10}} \right.\)
so the ticket price for one adult is $10
the tickey price for one child is $7
+) a family that consists of 2 adults and 3 childs so they need have:
2.10 + 3.7 = 41 ($)
=> their budget isnt high enough
Step-by-step explanation:
A painter is buying gallon containers of paint. He has $375 to spend and each gallon container costs $11.
How many gallon containers of paint can the painter buy?
_______ containers
Answer:
He can buy 34 containers with a remainder of one dollar.
Step-by-step explanation:
11 x 30 = 330
375 - 330 = 45
11 x 4 = 44
45 - 44 = 1
Answer: The answer to this is.............
34 containers
Step-by-step explanation:
k12
sorry if I am late
hope this helps
Step be step
(+1 point) Write the equation of the line in slope-intercept form given the following information.
18. slope = -2 and y-intercept (0,6)
(+3 points) Write the equation of the line given the following information in point-slope form
then rewrite in slope-intercept form.
19. Slope =
contains (-4, 3)
Answer:
18. y = -2x + 6
19. y = -1/2x -1/2
Step-by-step explanation:
y = mx + b
18. The point (0,6) 0 is the x-intercept and 6 is the y-intercept
For now, all we care about is 6
-2 is the slope which means the line will go down 2 and right 1
m = slope
b = y-intercept
y = -2x + 6
19.
-1/2 is the slope which means the line will go down 1 and right 2
For the y-intersept, I just played with it on a graphing calculater until I got it right.
m = slope
b = y-intercept
y = -1/2x -1/2
24. Name a point on ∠MNO
Only point Q is on the ∠MNO because when we connect the point M and O then point R lies outside the ∠MNO. Only point Q remains inside.
In the given question we have to name a point on ∠MNO.
As we know that;
Evaluating the number of points in the curve of the triangle's vertices that are close to the location in question is the easiest method for determining whether a point is inside a triangle. The point on the curve is inside the triangle if it has three points; if it has four, it is outside the triangle.
When we check in the graph then only point Q is on the ∠MNO because when we connect the point M and O then point R lies outside the ∠MNO. Only point Q remains inside.
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How are triangleABC and triangle ADE related? How do you know pls explain.
Triangle ABC and ADE are similar triangles
What are similar triangles?Similar triangles have the same corresponding angle measures and proportional side lengths.
This means that for two triangles to be similar, the corresponding angles must be equal and the ratio of corresponding sides of similar triangles are equal.
It has been shown that angles in ABC and ADE are equal.
To show that the ratio of corresponding sides are equal
6/12 = 8/16 = 10/20
The ratios all give a value of 1/2
Therefore we can say that the triangles ABC and ADE are similar.
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Learning Task 3 Answer the questions that follow. Put a check mark (/) on the space provided. Copy and answer in your math notebook. 1. The units for Volume are always ______squared _____cubed 2. Volume is the amount of space an object takes up. ___True ___False Calculate for the volume of solid. 3. Chona is selling Pringle Chips to raise money for a field trip. The container has a diameter of 9 inches and a height of 32 inches. 4. A 3-tier cake with the same height of 10 in and radius of 12 in, 8 in, 5 in respectively is to be delivered to a birthday party. How much space does this cake take up? Use 3.14 for π. 5. A Styrofoam model of a volcano is in the shape of a cone. The model has a circular base with a diameter of 48 centimeters and a height of 12 centimeters. Find the volume of foam in the model to the nearest tenth. Use 3.14 for π.
3. The volume of the Pringle Chips container is approximately 2034.72 cubic inches.
4. The cake takes up approximately 7317 cubic inches of space.
5. The volume of foam in the model of the volcano is approximately 7234.08 cubic centimeters.
1. The units for Volume are always cubed.
2. Volume is the amount of space an object takes up. True.
3. To calculate the volume of the Pringle Chips container, we need to find the volume of a cylinder. The formula for the volume of a cylinder is V = πr^2h, where π is a constant (approximately 3.14), r is the radius, and h is the height. Given that the diameter is 9 inches, the radius would be half of that, which is 4.5 inches. Substituting the values into the formula, we have:
V = 3.14 * (4.5)^2 * 32
V = 3.14 * 20.25 * 32
V ≈ 2034.72 cubic inches
4. To find the volume of the 3-tier cake, we need to find the volume of each tier separately and then add them together. Since all the tiers are cylinders, we can use the formula V = πr^2h.
Tier 1:
V1 = 3.14 * (12)^2 * 10 = 4521.6 cubic inches
Tier 2:
V2 = 3.14 * (8)^2 * 10 = 2010.4 cubic inches
Tier 3:
V3 = 3.14 * (5)^2 * 10 = 785 cubic inches
Total volume:
Total V = V1 + V2 + V3
Total V = 4521.6 + 2010.4 + 785
Total V ≈ 7317 cubic inches
5. To find the volume of the Styrofoam model of the volcano, we can use the formula for the volume of a cone, V = (1/3)πr^2h. Given that the diameter is 48 centimeters, the radius would be half of that, which is 24 centimeters. Substituting the values into the formula, we have:
V = (1/3) * 3.14 * (24)^2 * 12
V = (1/3) * 3.14 * 576 * 12
V ≈ 7234.08 cubic centimeters
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The sum of two numbers is -32. One number is two less than the other.
ANSWER:
EXPLANATION:
Let x and y be the two numbers
The area of a triangular pendant on a necklace is 3/4 square inch. The height of the
triangle is 1 1/4 inches. What is the length of the base of the triangle?
The length of the base of the triangle is 1 1/5 inches
What are areas?The area of a shape is the amount of space on the shape
How to determine the length of the base of the triangle?The given parameters are
Area = 3/4 square inches
Height = 1 1/4 inches
The length of the base of the triangle is calculated as
Base = 2 * Area/Height
Substitute the known values in the above equation
This gives
Base = 2 * (3/4)/(1 1/4)
Evaluate
Base = 1 1/5
Hence, the length of the base of the triangle is 1 1/5 inches
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how many wall are there in your room? what are the shape of the floor and ceiling in your room ? how can you find the area of each shape?prepare the answer. present the conclusion in the form of report. plz answer the question in right.how many wall are there in your room? what are the shape of the floor and ceiling in your room ? how can you find the area of each shape?prepare the answer. present the conclusion in the form of report. plz answer the question in right. plz answer the question steps by step.
Answer:
4 walls in my room. The shape of my room is square and my ceiling in square. By looking at it and measuring it. Thats how I found my answer.
I believe this is correct if it is can you mark brainliest? Hope I helped!!!! :)
Answer:
8 walls etc....
Step-by-step explanation:
I need help with this please and thank you
Answer:
length 12width 7Step-by-step explanation:
Adding 5 m to the width of a rectangle makes it a square with area 144 m². You want the length and width of the original rectangle.
AreaThe formula for the area of a square is ...
A = s²
The side length of the square formed from the rectangle is ...
144 = s²
√144 = s = 12 . . . . . meters
RectangleThe length of the rectangle is unchanged when it is made into the square, so the length is 12 m.
The width of the rectangle had 5 m added to make it 12 m, so the width of the rectangle is 7 m.
__
Additional comment
The given relation between length and width is given as L = 2W -2. It is true that 12 = 2(7) -2, but that is not needed in order to solve this problem. It does serve as a check on our answer.
write as a product:y raised to the 3 - y raised to the 5
We will have the following:
\(y^3-y^5=y^3(1-y^2)\)***Explanation***
In order to solve we factor the common values.
We can see that the smallest exponent is 3 and if we subtract y^3 from both values we will have that
\(y^3-y^5=y^3\cdot1-y^3\cdot y^2\)So, we can see that they share the same common value, thus:
\(y^3(1-y^2)\)We also must remember that:
\(y^a\cdot y^b=y^{a+b}\)ANSWER NOW FOR A LOT OF POINTS!
2/3(6x-3)>6
Use the inequality above to prove that one of your answers from 16 is a possible solution to the inequality. Show your work.
SHOW YOUR WORK!
Evaluate each expression if a = 5, b = 6, C = 4, and d = 3.
a. 2ab + cd
b. abc
Answer:
a(2ab+cd
(2×5×6)+(4×3)
60+12
72
b)abc
5×6×4
120
Suppose
f
(
x
)
f
(
x
)
is an nth order polynomial, with a leading coefficient of 1. Find the compact expression
f
(
n
)
(
x
)
f
(
n
)
(
x
)
. That is, what is the solution (in terms of n) if you take the derivative to respect of
x
x
some n times?
Answer:
Hi
Step-by-step explanation: how are you doing