ƒ(x) = −3x² + 3x
Find f (8)
Answer:
-168
Step-by-step explanation:
-3(8)^2+(3)(8)
(-3)(64)+(24)
-192+24
-168
Question 5
Calculate the percentage rounded to a whole number. 140 is what percentage of 206?
A bowl weighs 11/40 pound.
a. Express this weight as a decimal.
b. Explain how you can find the decimal by thinking of the denominator as a 4 and using mental math.
The weight as a decimal will be 0.275.
The way to fins the decimal using mental maths is to believe that it's 1/4.
How to compute the value?It should be noted that the information given is that we should convert 11/40 t decimal.
This simply means to divide and the answer is 0.275.
Also, the way to find the decimal using mental maths is to believe that it's 1/4.
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Solve AGHI. Round the answers to the nearest hundredth.
A. m/Gs 61.93°, m1s 28.07°, HI = 15
B. m/Gs 28.07°, m/1 61.93°, HI = 18.79
C. m/Gs 61.930, m1 28.07°, H/= 18.79
D. m/G 28.07°, m/1 61.93°, HI = 15
suppose an isosceles triangle abc has a=pi/4 and b=c=4. what is the length of a squared
The Isosceles triangle length of a² will be equal to (32 - 16√2).
What is an isosceles triangle?
The triangle in which the two opposite sides are equal and the two opposite angles are equal is called the isosceles triangle.
A triangle that has at least two sides of equal length is said to be isosceles. Sometimes it is stated to have exactly two sides that are the same length, while other times it is stated to have at least two sides that are the same length, with the latter version mentioning the equilateral triangle as an exception.
It is given that in an isosceles triangle abc has a=π/4 and b=c=4. Then the value of a² will be calculated as below:-
Using the cosine formula to calculate the value of a².
a² = b² + c² -2bc cosФ
a² = 16 + 16 - 2(4)(4)cos(π/4)
a² = 32 - ( 32 x {√2/2})
a² = 32 - 16√2
Therefore, the length of a² will be equal to (32 - 16√2).
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Answer:
4^2(2-root2)
Step-by-step explanation:
Do children weigh 160 pounds together the oldest weighs 120lbs more how much do they each weigh
Answer:
One child weighs 120lbs, and the other weighs 40lbs.
Step-by-step explanation:
Assuming that you meant "Two" instead of "Do", there are two children that weigh 160 pounds together. If we know that one child weighs 120lbs more, we know that the other child has to weigh 40lbs using the equation below where x represents the weight of the second child:
120 + x = 160
Subtract 120 from both sides
x = 40
FINAL ANSWER: One child weighs 120lbs, and the other weighs 40lbs.
Given that the curves are formed from
quarter circles,
find the area of the shaded region.
Give your answer in terms of TT.
4m
4m
The diagram is not drawn to scale
The area of the shaded region is 8π-16.
The side of the square is 4 m. Imagine a diagonal of the given square, which divides the shaded region into two equal parts due to symmetry. The radius of the quarter circle formed by one of the arcs and the two sides of the square is 4 m. The area of the quarter circle = 1/4πr²The area of the quarter circle = 1/4π4²The area of the quarter circle is 4π m². The diagonal and the two adjacent sides of the square form a right-angled triangle with a base of 4 m and a height of 4 m. The area of the triangle is 1/2*base*height. The area of the triangle is 1/2*4*4. The area of the triangle is 8 m². The area of the shaded region bisected by the diagonal = Area of quarter circle - Area of triangleThe area of the shaded region bisected by the diagonal = 4π-8 m²The area of the shaded region is twice the area of the shaded region bisected by the diagonal. The area of the shaded region = 2 * (4π-8)The area of the shaded region is 8π-16 m².To learn more about area, visit :
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If the groub A= {-3} then IAI equals?
The value of given set in modulus function IAI = 3.
What is termed as modulus function?A modulus function returns the magnitude of such a number regardless of its sign. It's also recognized as the absolute value function.
The modulus function, signified by |x| in mathematics, gives the modulus of such a real number x. It returns a non-negative value for x. The modulus as well as absolute value of a number too is known as the number's distance from the origin or zero.The modulus function's value is always non-negative. That unless f(x) is a modulus function, we get:
For x is positive, the value of f(x) = xFor x = 0, the value of f(x) = 0For x < 0, the value of f(x) = -xNow, as per the given question;
Groub A= {-3}
Estimate the IAI
IAI = I-3I
By the property of modulus function.
IAI = 3 (absolute value)
Therefore, the value of IAI is 3.
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2/3 miles in 10 mins what distance traveled in an hour
Answer
4 miles
Step-by-step explanation:
The distance traveled in an hour if a person travels at 2/3 miles in 10 mins is 4 miles.
In order words, the total distance which is travelled in one hour if a person travels a journey of 2/3 miles in 10 mins is 4 miles.
RatioThe ratio of the parameters given from the above is given below:
2/3 miles in 10 mins
Convert hour to minutes:
1 hour = 60 minuteslet
Distance travelled in an hour = xEquate ratio of distance to time taken
2/3 : 10 = x : 60
2/3 ÷ 10 = x / 60
2/3 × 1/10 = x/60
2/30 = x/60
cross product2 × 60 = 30 × x
120 = 30x
divide both sides by 30x = 120 / 30
x = 4 miles
Therefore, the distance traveled or covered in an hour if a person travels at 2/3 miles in 10 mins is 4 miles.
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Set B = {a,b,c,d} and Set C = { b,d,f,g}. Find B u C.
Answer:
do ur best
Step-by-step explanation: somebody else might can help u
help asap question in picture
[tex] \: \Large \mathbb{SOLUTION:}[/tex]
[tex] \: \: \rm{ \bigg( - \frac{5}{3} \bigg) {}^{2} } \\ [/tex]
[tex] \: \: \text{Determine the sign for exponential or radical expreasions}[/tex]
[tex] \: \: \rm{ \bigg( \frac{5}{3} \bigg) {}^{2} } \\ [/tex]
[tex] \: \: \text{Calculate the power}[/tex]
[tex] \: \: \rm \boxed{ \frac{25}{9} } \\ [/tex]
[tex] \frac{25}{9} \\ [/tex]
Solution:Determine the sign
[tex]( -\frac{5}{3} ) {}^{2} [/tex]
[tex]( \frac{5}{3} ) {}^{2} [/tex]
[tex] \frac{5 {}^{2} }{3 {}^{2} } \\ [/tex]
[tex] \frac{25}{3 {}^{2} } \\ [/tex]
[tex] \frac{25}{9} \\ [/tex]
16. Audrey and Ginnie volunteer each
month to drive meals to elderly
people. The first month they volun-
teered, they delivered a total of 60
meals. The next month they delivered
1
33 percent more than they did the
first month. The third month they de-
livered twice as many meals as the
first two months combined. How
many meals did the two girls deliver
in the third month?
(J) 80
(K) 90
(L) 160
(M) 280
Answer:
280. Answer choice D
Step-by-step explanation:
1st month: 60 meals
2nd month: 33% more than 1st month - 80 meals
(1 + (33/100)) * 60 = (1.33)(60) = 79.8 meals (Round to 80 meals)
3rd month: 2(60+80) = 280 meals
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(M) 280
Step-by-step explanation:
The first month the girls delivered 60 meals. For the second month 133% of 60 is (60 x 1.33) 79.8 which is ~ 80 meals. 80 + 60 = 140, 140 x 2 = 280
The answer is (M) 280
12+18×4+6-4 =
A 16
B 20
C22
ID 23
You are in charge of drinks for a community barbecue. You need to supply at least 120 cups of
beverage to provide enough for the projected number of people that will attend. So far, you have
received the following donations:
o Enough mix to make 4 gallons of lemonade
o 7 bottles of fruit juice that each contain 64 fl. oz.
How many cups of beverage do you have?
Will you have enough for the barbecue?
O no
O yes
You have 120 cups. The cups of beverage will be enough.
Will the cups be enough?In order to determine the cups of beverage I have, the first step is to convert gallons and oz to cups.
1 gallon = 16 cups
16 x 4 = 64 cups
1 fluid ounce = 0.125 cups
64 x 0.125 x 7 = 56 cups
Total cups you have = 56 + 64 = 120 cups
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If the number 12,345x is divisible by 11, the lest digit of x must be....
Answer:
The last digit you multiplied by.
Step-by-step explanation:
It's not that hard, but here you go :)
If you multiplied 12 by 11 you would get 2 as your last digit, because 2 is the last digit of 12. (12x11=132)
So for 123 by 11, following this pattern, 3 is the last digit of 123 so the answer must end in 3. (123x11=1353)
If you still don't get the pattern I'll give you a few more examples here:
If you multiply 1234 by 11 you would get a number ending in 4 because the last digit of 1234 is 4! (1234x11=13574)
So what would be the last digit of 12345?
Hope this was helpful!
(The answer was 5 btw)
Grady's father is building a 15-meter fence with the start of the fence at coordinates(8, 5) and the midpoint of the fence at coordinates(3.5, -1) . What are the coordinates of the other end of the fence?
Based on the calculations, the coordinates of the other end of the fence are equal to (-1, -7).
What is a line segment?A line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points and it typically has a fixed length.
How to determine the coordinates of the other end of the fence?In order to determine the midpoint of a line segment with two (2) endpoints, we would add each point together and divide by two (2).
Midpoint on x-coordinate is given by:
xm = (x₁ + x₂)/2
3.5 = (8 + x₂)/2
Cross-multiplying, we have:
7 = 8 + x₂
x₂ = 7 - 8
x₂ = -1.
Midpoint on y-coordinate is given by:
ym = (y₁ + y₂)/2
-1 = (5 + y₂)/2
Cross-multiplying, we have:
-2 = 5 + y₂
y₂ = -2 - 5
y₂ = -7.
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URGENTTTT PLEASE ANSWERS Distance between two points whats the distance between the following points?
A. 12
B. 13
C. squareroot of 36
D. squareroot of 97
Answer: B
Step-by-step explanation:
Write 8,350,000,000 in scientific notation.
8.35 × 10−9
8.35 × 109
835 × 10−7
835 × 107
When the number, 8,350,000,000 is written in scientific notation, it would be 8.35 × 10⁹.
How to write in scientific notation?When you write in scientific notation, you would be reducing a number from having any number of digits to the left of the decimal to the number having a single digit to the left of the decimal.
You would then multiply it by 10 raised to the power of the number of digits that were before the decimal which are now after it.
In this case, 8,350,000,000 in scientific notation would be:
= 8.35 × 10⁹
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Enter your answer as a proper fraction, or mixed number.
Answer:
3/14
Step-by-step explanation:
Answer:
3/14
Step-by-step explanation:
I need help. Will give brainliest
Answer:
4/15
i have my ways
Divide the fractions. ½÷⅞
Answer:1/2 / 7/8 = 8/14 = 4/7
Step-by-step explanation: switch the numbers on the second fraction and multiply. 1 * 8 = 8 2 * 7 = 14, 8/14 simplify: 4/7
Is this statement true ?
The price of tuition has quadrupled since my parents went to school that's a 300% increase in price.
Answer:
no
Step-by-step explanation:
quadruple means by 4, so it would be 400%
What is an equation of the line that passes through the points (5, -3) and
(-3, -3)?
Answer:
y=-3
Step-by-step explanation:
First, we start with the basic line equation:
y=ax+b
Plugging in the two points, we get
-3=a(5)+b and
-3=a(-3)+b
Simplifying we get
b=-3-5a
b=-3+3a
Setting the two equations equal, we get
-3-5a = -3+3a
8a = 0
so a =0
plugging in a into the first equation
-3=0(5)+b
b=-3
and finally plugging a and b into y=ax+b we get
y=-3
If this was helpful pls give me brainliest <3
Equation: [tex]y=-3[/tex].
Step-by-step explanation:1. Find the slope of the equation.To find the slope of this equation, let's refer to the formula of slope:
Slope (m)= [tex]\frac{y_{2}- y_{1} }{x_{2}- x_{1} }[/tex]
Identify the points:
Let the ordered pair of (5, -3) take the number 1 for the notation. Hence:
[tex]x_{1} =5\\\\y_{1} =-3[/tex]
Note. This assigment of number 1 can be done arbitrarily, we could've named the coordinates of the other ordered pair as number 1 and the result would be the same.
Now, identify the values of the remaining ordered pair.
[tex]x_{2} =-3\\\\y_{2} =-3[/tex]
Substitute the values into the slope formula and calculate.
[tex]m=\frac{(-3)-(-3)}{(5)-(-3)} \\ \\m=\frac{-3+3}{5+3}\\ \\m=\frac{0}{8} \\ \\m=0[/tex]
2. Find the equation.To find the equation, we're going to use the formula for crafting linear equations which is the following:
[tex]y-y_{1} =m(x-x_{1} )[/tex]
Substitute the values into the formula and calculate.
[tex]y-(-3) =(0)(x-(-3) )\\ \\y+3=0\\ \\y=-3[/tex]
Note. For this formula you may use any of the ordered pairs to substitute.
3. Express your result.Equation: [tex]y=-3[/tex].
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Prove 2(2x+4)= 16 2(2x) by using the laws of exponents.
boris9
The prove that the equation can be verified using the laws of exponents.
What is the proof of the equation given; 2^(2x+4)= 16 × 2^(2x)?It follows from the task content that the equation given is; 2^(2x+4)= 16 • 2^(2x).
It follows from the laws of indices ; particularly, the product of same base numbers.
The evaluation is therefore as follows;
2^(2x+4)= 16 • 2^(2x)
2^(2x) • 2⁴ = 16 • 2^(2x)
2^(2x) • 16 = 16 • 2^(2x)
Hence, since LHS = RHS, it follows that the expression is mathematically correct.
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(a)-534° is found in quadrant
Answer: Quadrant 3
Step-by-step explanation:
Hard to explain.
Please help am in class need soon
Find the perimeter of triangle ABC. Found your answer to two decimal places.
Perimeter ABC=
The Perimeter of a triangle ΔABC is 27.68
Given ABC be triangle having vertices A(-2, -1), B(4, 3), C(-5, 7)
We need to find the perimeter of a triangle as
Perimeter of a triangle ΔABC = AB + BC +CA
Now we need to find distances as
D = √ (x₂ - x₁)² + ( y₂ - y₁ )²
AB = √ (4 - (-2))² + ( 3 - (-1) )²
= √ ( 4 + 2 )² + ( 3+1 )²
= √ (6)² + (4)²
= √ 36 + 16
= √ 52
= 7.21
BC = √ ((-5) - (4))² + ( 7 - (3) )²
= √ (-5 -4 )² + ( 7-3 )²
= √ (-9)² + (4)²
= √ 81 + 16
= √ 97
= 9.84
AC = √ ((-5) - (-2))² + ( 7 - (-1) )²
= √ (-5 -2 )² + ( 7+1)²
= √ (-7)² + (8)²
= √ 49 + 64
= √ 113
= 10.63
Perimeter of a triangle ΔABC = AB + BC +CA
= 7.21 + 9.84 + 10.63
= 27.68
Therefore, the Perimeter of the given triangle ΔABC = 27.68
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The radius of the base of a cylinder is 10 centimeters and the height is 20 centimeters. A cone is used to fill the cylinder. Radius of the cone is 5 centimeters and it’s height is 10 centimeters how many cones are needed to fill the cylinder with water
It will take 24 cones to fill the cylinder.
so you have a cylinder and you have a cone. The radius of the base of the cylinder is 10cm And its height is 20 cm. A cone is used to fill the cylinder with water. The cone's base, the radius of the cone space. Okay good. Is five centimeters And his height is 10 cm. The number of times one needs to use the cone to completely fill the cylinder of water. So let's find the volume. The volume of a cylinder is the area of the base times the height. So this is pi r squared times the height. I'm going to leave it in units of pie. So r squared is 100, 100 times 20 is 2000. So this is 2000 bye. The volume of a cone is 1/3 area of the base times the height Which is 1 3rd pi R squared. H. So Ah this is not going to be an even number, but that's fine. Five times five is 25, 25 times 10 is 250. So this volume is 250 over three pi And we need to know how many cones give us a cylinder. So we have 250 over three pi times the number of cones Will give us 2000 pi. So pi is on both sides. It cancels which is why I left it in units of pie. Multiply 3 to both sides. So this is 250 and is equal to 6000 6000 divided by 250 is 24. So it will take 24 cones to fill the cylinder
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A person can order a new car with a choice of 12 possible colors, with or without air conditioning, with or without automatic transmission, with or without power windows, and with or without a CD player. In how many different ways can a new car be ordered with regard to these options?
Answer:
96
Step-by-step explanation:
12 colors times 2 possibilities of with or without air conditioning is 24.
24 times two possibilities of with or without automatic transmission is 48.
48 times two possibilities of with or power windows is 96.
96 times two possibilities of with or CD player is 192.
A patient in therapy jogged 7 km, 2 km, and 4 km. How many miles did that patient jog?
Answer:
7 + 2 + 4 = 13 km
13 km x 0.62 = 8.06
The answer is about 8.06 miles
Step-by-step explanation:
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
Melody picks a number. She triples the number, squares the result, divides the square by 2, subtracts 30 from the quotient, and gets 42. What are the possible numbers that Melody could have picked?
The possible numbers that Melody could have picked are -4 and 4.
The operation that prevents us from knowing with 100% certainty the number Melody had picked is multiplication which is implied by the phrase "double the number".
Given, Let x be the number Melody had chosen.
Thus, tripling the number will give 3x, and
squaring this will result to (3x)² which is equals to 9x².
Dividing the square of the number by 2 and subtracting 30 from its quotient will give 42:
9x²/2 ₋ 30 = 42
9x²/2 = 42 ₊ 30
9x²/2 = 72
9x² = 72 × 2
9x² = 144
x² = 144/9
x² = 16
x = ±√16
x = ±4
x = ₊4 or x = 4
hence melody could have picked ₊4 or ₋4 numbers.
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