Given the function
f(x)=-1/2(1-x)^2,
find f(-5).

Answer:

Step-by-step explanation:

5 Easy as 1-2-3

5 is a prime number.

Prime factorization: 5 is prime.

The exponent of prime number 5 is 1. Adding 1 to that exponent we get (1 + 1) = 2. Therefore 5 has exactly 2 factors.

Factors of 5: 1, 5.

Factor pairs: 5 = 1 x 5.

5 has no square factors that allow its square root to be simplified. √5 ≈ 2.236.

Answer: 32 male supertasters

Step-by-step explanation:

Let the number of men classified as supertaster be represented by m.

Since the number of women classified as supertasters was 2.25 times the number of men classified as supertaster. This means that:

Women (w) = 2.25m

If 72 women were classified as supertasters, the equation that represents the number of men, m, who were classified as supertasters will be:

2.25m = 72

m = 72 / 2.25

m = 32

There are 32 men supertasters.

Answer:

C. 8√3

Step-by-step explanation:

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48√2 in the simplest form of the expression √192.

Option D is the correct answer.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

We can simplify the √192 by factoring it into its prime factors:

192 = 2 × 2 × 2 × 2 × 2 × 3 × 3

Then, we can group the prime factors into pairs of two:

192 = (2 × 2) × (2 × 2) × (2 × 3) × 3

Simplifying each pair of factors under the square root gives:

[tex]\sqrt{192} = \sqrt{(2\times2)}\sqrt{(2\times2)}\sqrt{(2\times3)}\sqrt{3}\\= 4\times4\times\sqrt{6}\sqrt{3} \\= 16\sqrt{6}\sqrt{3}[/tex]

Finally, we can simplify the expression by multiplying the coefficients and combining the square roots:

[tex]16\sqrt{6}\sqrt{3} \\= 16\sqrt{18} = 16\sqrt{2\times3\times3} \\= 16\times3\sqrt{2} \\= 48\sqrt{2}[/tex]

Therefore,

48√2 in the simplest form of the expression √192.

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Answer:

C

Step-by-step explanation:

Answer: A, arithmetic

Step-by-step explanation:

An arithmetic sequence has a constant difference between each term. If she spend 36 dollars each week, the first week would be 36 the second week would be 72, and so on.

m = -3

point = (-4,6)

You need to put this in point slope form.

y - 6 = - 3( x + 4 )

distribute

y - 6 = -3x - 12

add 6 to 12

y = -3x - 6

answer : y=-3x-6

Answer:

-7

Step-by-step explanation:

-123-(6x4=24)=-147      -147 divided by (4x5k+1k=21k)=-7

Answer:

no

Step-by-step explanation:

–√9 = 3

if it equals a decimal it is irrational.

Answer:

The answer of this is the calculator

Answer:

Step-by-step explanation:

Answer:

4. (a) y=12x²-18x. le + y = 0

(b) y=2ײ-6×-8

○=12x²-18x. 0=2ײ-6×-8

6x(2×-3) =0. 2(ײ -3x -4)=0

6x=0 2x-3=0. 2(x-4) (×+1)=0

x=0. 2x=3. x-4=0 x+1=0

x=3/2. x=4 x=-1

5. y=2 (0)²-7(0)+9

y=9

Answer:

He will work out for a total of 2,835 min or 47.25 hours

He will not meet his minimum workout time for the18 week period

Step-by-step explanation:

The pattern is tat he adds 15 min each week to his work out regime:  

Wk1: 30min       Wk11:180min

Wk2: 45 min      Wk12: 195in

Wk 3: 60 min      Wk 13:210min

WK4: 75min         Wk 14: 225 min

Wk5 90 min         Wk15: 240min

Wk6: 105 min        Wk16: 255 min

Wk7; 120min         Wk17: 270min

Wk8: 135min         Wk 18: 285min    For a total of 2,835 min and divide by

                                      60 to get the number of hours= 47.25 hours

Wk9: 150min

Wk 10: 165 min

Answer:

Stepfff-by-step explanation:

Answer:

1 / 8², B

Step-by-step explanation:

8 / 8³

8³ = 8*8*8

So, the equation can also be written as:

8 / 8*8*8

divide the numerator and denominator by 8.

1 / 8*8

This is equal to:

1 / 8²

The answer is B.

Answer:

The graph of the function is the set of all points (x,y) in the plane that satisfies the equation y=f(x) y = f ( x ) . ... A vertical line includes all points with a particular x value. The y value of a point where a vertical line intersects a graph represents an output for that input x value.

2p - 3q - 4r + 6r - 2q + p = 0

2p + p - 3q - 2q - 4r + 6r = 0

3q - 5q + 2r = 0

Answer:

a. x+ 6

c. 4x- 1

Step-by-step explanation:

4x2 + 23x -6

4x2 + (24-1)x -6

4x2 + 25x - x - 6

4x(x+6) -1 (x+6)

(x+6)(4x-1)

hope this helps have a great time :)

Answer:

-b/a

Step-by-step explanation:

The slopes of perpendicular lines are negative reciprocals. That means that their product is -1.

slope of line = a/b

slope of perpendicular = -b/a

Answer:

200 slices or 30 cakes

Step-by-step explanation:

Divide 700 by 3.5 = 200

Divide 700 by 24 = 29.16

Answer:

26 cents

Step-by-step explanation:

5×5=25

51-25=26

Answer:

30 minutes

Step-by-step explanation:

If the campsite is only a mile away and they can walk 2 miles per hour, then it will only take them half an hour.

Answer:

The distance between the two points is 1.3

Step-by-step explanation:

Answer:

The distance between the two points is 1.3

Answer:

i need help on this one aswell

Step-by-step explanation:

noooooooooooo

pls

someone help us on this question

Answer:

C

Step-by-step explanation:

Answer:

C. x < -175

Step-by-step explanation:

-1/5x + 4 < 39

minus 4 on both sides

= -1/5 < 35

multiply by -5 because we want the X to be positive, always. And when we multiply or divide by a negative number, the sign will always flip.

X > -175

Answer:

C

Step-by-step explanation:

I got it right

The function that best models the data set is y = 3x + 11

"The slope of the line passing through points [tex](x_1,y_1),(x_2,y_2)[/tex] is,

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]"

"The equation of the line passing through points [tex](x_1,y_1),(x_2,y_2)[/tex] is, [tex]\frac{y-y_1}{y_2-y_1} =\frac{x-x_1}{x_2-x_1}[/tex] "

For given question,

If we draw the line of best fit, then the the line would pass through points (3, 20) and (8, 35)

Let [tex](x_1,y_1)=(3, 20),(x_2,y_2)=(8, 35)[/tex]

Then the equation of the line would be,

[tex]\Rightarrow \frac{y-y_1}{y_2-y_1} =\frac{x-x_1}{x_2-x_1} \\\\ \Rightarrow \frac{y-20}{35-20} =\frac{x-3}{8-3} \\\\ \Rightarrow \frac{y-20}{15} =\frac{x-3}{5} \\\\ \Rightarrow y-20=15\times \frac{x-3}{5}\\\\ \Rightarrow y-20=3(x-3)\\\\ \Rightarrow y-20=3x-9\\\\ \Rightarrow y=3x+11[/tex]

Therefore, the function that best models the data set is y = 3x + 11

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Answer:

-15

Step-by-step explanation:

Well you cleary just divide the numbers But if you dont belive it use a caculator for this

-210 divided by 14 equals -15.

To divide -210 by 14, we set up the division equation: -210 ÷ 14.

Since we have a negative dividend, we know the quotient will also be negative.

We divide the absolute values of the numbers: 210 divided by 14, which equals 15.

Since the dividend and divisor have different signs, the quotient is negative.

Therefore, -210 divided by 14 equals -15.

This means that -210 can be evenly divided into 14 groups, each having a value of -15.

The negative sign indicates that the result is in the opposite direction or orientation compared to the positive value.

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Answer:

A).SAS

because both triangles are the same by side length and angle.

hope this helped you:)

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Answer:

.21 cents

Step-by-step explanation:

To get .21 do 1.68 divided by 8

1.68 ÷ 8 = .21

Hope this helps ya!!

Answer:

perpendicular

Step-by-step explanation:

They will intersect at a 90 degree angle as x= is vertical and y= is horizontal