a food scientist wants to know if increasing the amount of lemon juice in a hummus recipe by 10% will increase the shelf life of the product, so he prepares 100 Badges of the recipe - 50 following the old recipe and 50 with extra lemon juice –and?checks each batch once per day to see how long it stays fresh. What type of data source is this?​

Answer:

Total volume = (145/3)π in³

Step-by-step explanation:

First find the volume of the entire cylinder.  The correct formula to use here is:

V = πr²h, where r is the radius and h is the height.  Here, with the radius being 5/2 inches and the height being 8 inches, the cylinder volume is

V = π(2.5 in)²(8 in) = 50π in³

Next find the volume of the conical shape:  V = (1/3)π(2.5 in)²(0.8 in)

The desired volume is equal to the volume of the entire cylinder LESS the volume of the cone:

π(2.5 in)²(8 in) = 50π in³  LESS  (1/3)π(2.5 in)²(0.8 in), which simplifies as follows:

Total volume =

50 π in³ -  (1/3)π(2.5 in)²(0.8 in), or

(2.5 in)²π[8 in - 0.8/3 in] =  π(6.25 in²)(8 in - 8/30 in) = π( 6.25 in²)(116/15 in), or

Total volume = (145/3)π in³

Answer:

Please see the attached picture for full solution

hope it helps...

Good luck on your assignment

Answer:

[tex]44[/tex]

hope this helps you.

brainliest appreciated

good luck! have a nice day!

Answer:

Step-by-step explanation:

In order to know the two factors we are to multiply together to get the trinomial function 5x² + 8x – 4, we need to factorize the quadratic function given. On factorizing;

[tex]= 5x^{2} +8x-4\\= (5x^{2} +10x)-(2x-4)\\\\factoring\ out\ the\ common\ term\\= 5x(x+2)-2(x+2)\\= (5x-2)(x+2)\\[/tex]

The factors that can be multiplied together are (5x – 2) and  (x + 2)

Answer:

The Answer On Edge Is C.) and E.), Have Fun Dreamers!

Step-by-step explanation:

Answer:

2378

Step-by-step explanation:

it is even. plus 8 is a multiple of 2

Answer:

2738

Step-by-step explanation:

2738 divided by 2 is 1369, and 1369 multiplied by 2 is 2738 also I checked on a calculator lol.

Answer: Garden = 36 ft², Path = 64 ft²

Step-by-step explanation:

Path is 3 ft wide ON EACH SIDE of the garden

Garden + 2(Path) = 10 ft   --> Garden = 6 ft wide.

Since the garden is a square, Area = 6² = 36

Garden + 2(Path) = 10 ft

Since the Garden + Path form a square, Area = 10² = 100

Area of Garden + Area of Path = Total Area

         36             + Area of Path =      100

                              Area of Path =      64

Answer:

d × (5d + 11)

Step-by-step explanation:

5d² + 11d

Factor out d from the expression

When d is factored out;

5d² becomes 5d

11d becomes 11

And d multiplies it all;

d × (5d + 11)

Answer:

-24

Step-by-step explanation:

f(x) = 3x^3 -12x^2

f(2) = 3 * (2)^3 - 12 (2)^2

      = 3 (8) - 12 (4)

      = 24 - 48

      = -24

Answer:

D. f(2)= -24

Step-by-step explanation:

To solve this problem, we want to find what f(x), or y is, when x is equal to 2.

f(x)=3x³-12x²

Therefore, we can substitute 2 in for every x.

x=2

f(2)=3(2³)-12(2²)

Evaluate the exponents first.

2³ is equal to 2*2*2, which equals 8.

2² is equal to 2*2, which equals 4.

f(2)=3(8)-12(4)

Multiply 3 and 8.

f(2)=24-12(4)

Multipy 12 and 4

f(2)=24-48

Subtract 48 from 24.

f(2)=-24

Therefore, the correct answer is D. f(2)= -24

Answer:

f ⁻¹ (-2)=3

f ⁻¹ (1)= 0

Step-by-step explanation:

inverse functions are switching x and f(x) coordinates so f ⁻¹ (-2)=3 and f ⁻¹ (1)= 0

Answer:

mean = 6.15

variance = 4.637

standard deviation = 2.15

Step-by-step explanation:

It is given that 75.4% of women aged 20-24 have never been married.

We are interested in finding the mean, variance and standard deviation for the number who are or who have been married.

So the percentile of women who have been married is given by

[tex]p = 1 - 0.754 \\\\ p = 0.246 \\\\q = 1 - p \\\\q = 1 - 0.246 \\\\q = 0.754[/tex]

The mean is given by

[tex]mean = n\times p[/tex]

Where n is the sample size

[tex]mean = 25\times 0.246 \\\\mean = 6.15[/tex]

Therefore, the mean is 6.15

The variance is given by

[tex]variance = n \times p \times q \\\\variance = 25 \times 0.246 \times 0.754 \\\\variance = 4.637[/tex]

Therefore, the variance is 4.637

The standard deviation is given by

[tex]standard \: deviation = \sqrt{variance} \\\\standard \: deviation = \sqrt{4.637} \\\\standard \: deviation = 2.15[/tex]

Therefore, the standard deviation is 2.15

Answer:

see explanation

Step-by-step explanation:

A translation of 9 units to the right means adding 9 to the x- coordinates of the original points, while the y- coordinate remains unchanged, thus

X(- 6, 3 ) → X'(- 6 + 9, 3 ) → X'(3, 3 )

Y(4, 5 ) → Y'(4 + 9, 5 ) → Y'(13, 5 )

Z(- 2, - 1 ) → Z'(- 2 + 9, - 1 ) → Z'(7, - 1 )

Answer:

The y-intercept b = 9/2

Step-by-step explanation:

A line has equation  x + 4y = 8  or y = (-1/4)x + 2

=> The slope of this line is -1/4

Another line y = ax + b has the slope a = -1/4 and passes (6, 3)

=> 3 = (-1/4)*6 + b

=> 3 = -3/2 + b

=> b = 9/2

=> The y-intercept b = 9/2

Answer: y-intercept = 2

Step-by-step explanation:

Slope-Intercept form of an equation is:  y = mx + b   where

x + 4y = 8

     4y = -x + 8

       [tex]y=-\dfrac{1}{4}x+\dfrac{8}{4}[/tex]

       [tex]y=-\dfrac{1}{4}x+2[/tex]

The y-intercept (b) = 2

I am not sure why you gave a point that goes through the y-intercept because it does not relate to the question , however, I have shown below the equation of point (6, 3) that goes through b = 2.

y = mx + b

3 = m(6) + 2

1 = 6m

[tex]\dfrac{1}{6}=m[/tex]

Equation: [tex]y=\dfrac{1}{6}x+2[/tex]

Steps:

Step 1: Simplify both sides of the equation.

3(a−2/3)=3/4a+21/4

(3)(a)+(3)(−2/3)=3/4a+21/4(Distribute)

3a+−2=34a+2143a−2=3/4a+21/4

3a+−2=34a+2143a−2=3/4a+21/4

Step 2: Subtract 3/4a from both sides.

3a−2−3/4a=3/4a+21/4−3/4a

9/4a−2=21/4

Step 3: Add 2 to both sides.

9/4a−2+2=21/4+2

9/4a=29/4

Step 4: Multiply both sides by 4/9.

(4/9)*(9/4a)=(4/9)*(29/4)

Answer:

A=29/9

Please mark me brainliest

Hope this helps.

Answer:

6x^2 -4x +8

Step-by-step explanation:

(6x^2+ 5) - (4x - 3)

Distribute the minus sign

(6x^2+ 5) - 4x + 3

Combine like terms

6x^2 -4x +8

Answer:

Step-by-step explanation:

C

Answer:

letter of a shape with rotational symmetry of order 2 is B,D and F

Answer:

Step-by-step explanation:

i strongly believe it is  rotational symmetry of order 2 is B,D and F .

hope it helps

-Delilah

Answer:

Number 3

Step-by-step explanation:

It is an acute isosceles because all the angles are acute and two sides are congruent.

Answer:

Acute and isosceles

Step-by-step explanation:

All the angles are less than 90

2 sides are equal

Answer:

0.003

Step-by-step explanation:

100 / 3 = 0.003

When dividing with (10, 100, 100 etc) you go this way <—

Answer:

4

Step-by-step explanation:

36/9=4

Answer:

4

Step-by-step explanation: division

Answer:

no

Step-by-step explanation:

you cannot divide zero into two equal parts because there is nothing there to start.  Since Pablo has no candy, he cannot divide it into two piles because there isn't anything to divide.

Answer: No because 0 means nothing  and you can't divide nothing among something so  that is like undefined.

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Out of a total 12 donuts, 6 of them are maple. Assuming this ratio stays constant, the experimental probability that the next one sold is a maple donut is 6/12=1/2. Hope this helps!

Answer:

P(maple donut) = 0.5

Step-by-step explanation:

If they sold 12 donuts, of which 6 of them were Maple Donuts.

The experimental probability of donuts sold that were maple donuts is:

[tex]\frac{6}{12}=\frac{1}{2}=0.5[/tex]

Therefore donuts sold in the future, would follow this probability, so our answer is 0.5.

Answer:

50

Step-by-step explanation:

f(x) = 8x² - 14x - 10

f(-2) = 8(-2)² - 14(-2) -10

f(-2) 8*4 + 28 - 10

f(-2) = 32 + 28 - 10 = 50

Answer:-637

Step-by-step explanation:

Answer:

$ 11

Step-by-step explanation:

A game costs $ x.

Two games costs 2x.

50 + 2x = 72

2x = 72 - 50

2x = 22

x = 11

Answer:

21

Step-by-step explanation:

−12 − (−25) + 8

Subtracting a negative is like adding

-12 +25+8

First do -12 +25  25-12 = 13  Replace in the equation

13+8

21

Answer:

Yes, the answer is

[tex]21[/tex]

Step-by-step explanation:

we know that,

[tex]( - ) \times ( - ) = ( + )[/tex]

Now let's solve the problem,

[tex] - 12 - ( - 25) + 8 \\ - 12 + 25 + 8 \\ = 21[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

It is an isosceles triangle

Step-by-step explanation:

because there are 2 straight lines

Answer:

[tex]1[/tex]

Step-by-step explanation:

[tex]\frac{5\sqrt{3}+3\sqrt{5} }{5\sqrt{3}+3\sqrt{5} }[/tex]

[tex]=1[/tex]

Answer:

Step-by-step explanation:

If you substitute x = -4 in the equation, you should get the y value as 3

y = 5x + 21

 = 5* -4 + 21

 = -20 + 21

y = -1 ≠ 3

So, (-4, 3) is not a solution

Answer:

2 people can have 18 cupcakes each

3 people can have 12 cupcakes each

4 people can have 9 cupcakes each

9 people can have 4 cupcakes each

Step-by-step explanation:

Answer: 1,2,3,4,6,9,12,18,36

Step-by-step explanation:

Answer:

the order of rotational symmetry of the shape is 2

Answer:

c^6

Step-by-step explanation:

So, c is the same as c^ 1 ... therefore

c^5 x c

= c^5 x c^1

When we multiply two numbers with same base and different exponent, we add the exponents which in this case as 5 and 1

So c^5 x c^1

= c^(5+1)

= c^6

This is the simplest form

Answer: c⁶

Step-by-step explanation:

Notes: A variable without a given exponent has an "invisible" exponent of 1.

When multiplying two values with the same base, add the exponents.

[tex]\bold{c^5 \times c\qquad \rightarrow \quad c^5 \times c^1\quad =\quad c^{5+1}\quad = \large\boxed{c^6}}[/tex]