a school is having a pizza party. each pizza is cut into 12 slices. which explains whether it is better to estimate a greater or lesser number than the actual number of people that will eat pizza

Answer:p(x) = x^3– 4x^2+ 3x + c................................

Step-by-step explanation:

Functions f(x) = x² + 1 and g(x) = x – 4, the value equivalent  to f(g(10)) is, 37

Function is a relation between a set of inputs and a set of outputs which are permissible. In a function, for particular values of x we will get only a single image in y. It is denoted by f(x).

Vertical line test:-

Whenever we want to check whether a given expression is a function or not we can apply a vertical line test, in this test we check for a single image of x , we are getting a single image or more.

If we get more images then it will not be a function.

For example, let us take, y² = 4ax

y = ±√4ax

For single value of x we get two values of y

Hence, it will not be a function.

Given that,

f(x) = x² + 1

g(x) = x – 4

f(g(10)) = ?

f(g(x))  =  (x - 4)² + 1

           =  x² - 8x + 16 +1

           =   x² - 8x + 17

f(g(10)) =  10² - 8×10 + 17

            = 100 - 80 + 17

            = 37

The value of  f(g(10)) is 37

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Answer:35x^3 + 15x^2 + 42xz + 28x + 18z + 12

Step-by-step explanation:

(7x + 3) (5x^2 + 6z + 4)

7 (5^2 + 6 + 4) +3 (5^2 + 6 + 4)

35^3 +42 + 28 + 15^2 + 18 + 12

35^3 + 15x^2 + 42xz + 28x + 18z + 12

Answer:

m = − 4

Step-by-step explanation:

Use the slope formula to find the slope  m

Hope this helps :)

Answer:

1/8

Step-by-step explanation:

\(\frac{1}{4} (\frac{1}{2})\)

\(\frac{(1)(1)}{(4)(2)}\)

\(\frac{1}{8}\)

The comparisons that are true are 11. -5 < 0 12. 9 > -8 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51  19. 17 < 23  20. 18 > -36 and that is not true are 13. -7 = -7 (not true) 18. -32 > 4 (not true)

To make each statement true, write < or >. We need to compare two values for each statement to determine whether it is true or false.

To indicate that the first value is less than the second value, write <.

Alternatively, to indicate that the first value is greater than the second value, write >.

Below are the comparisons: 11. -5 < 0 12. 9 > -8 13. -7 > -7 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51 18. -32 > 4 19. 17 > 23 20. 18 > -36

To determine the direction of inequality, we need to compare the values.

We used inequality signs such as > (greater than) or < (less than) to indicate which value is larger or smaller than the other.

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The correct question would be as

Write > or < to make each statement true.

11. -5 0

12. 9 -8

13. -7 7

14. 55 -75

15. -32 -24

16. 89 73

17. -58 -51

18. -32 4

19. 17 23

20. 18 -36​

Answer: the answer would be that there is 20 cups in a gallon to find measurements like that ok so 4×4=16 so there is 4 cups in a quarter so it says 1 and a quarter of a gallon or 1 and 1/4 so 16 × 0.25=4 then now you can see that the calculation is correct so then 5×4=20 so 20cups is your answer

hope i helped

Step-by-step explanation:

The expression that has a value which is less than the base in that expression is B: ⅚ ²

The value of the first expression of 2 ³ is:

= 2 x 2 x 2

= 8

8 is larger than the base of 2.

The value of ⅚ ² is :

= 5 / 6 x 5 / 6

= 25 / 36

25 / 36 is less than 5 / 6 which means that the expression with a value that is less than the base of the expression is ⅚ ².

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Answer:

Final mixture is 120 gm

x = 10%      then   (120-x) = 25%

.25(120-x)    + .1 (x)    =  .15 (120)       solve for x= 10% amount

                                                                 then  25% amount = 120-x

Step-by-step explanation:

To seat all 58 children in the hall for the concert, 10 rows are needed.

1. Determine the number of children per row: Since there are 6 seats in a row, each row can accommodate 6 children.

2. Divide the total number of children by the number of children per row: Divide 58 (the total number of children) by 6 (the number of children per row).

  58 ÷ 6 = 9 with a remainder of 4

  This means that 9 full rows can be formed, and there will be 4 children left after the last full row.

3. Check if there are any remaining children: Since there are 4 children remaining, they cannot form a complete row by themselves.

4. Calculate the number of rows needed: Add 1 to the number of full rows to account for the remaining children.

  9 full rows + 1 row for the remaining children = 10 rows in total.

Therefore, to seat all 58 children in the hall for the concert, 10 rows are needed.

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Answer:

Which is a reason that organic farming is more expensive than conventional farming?

Organic farmers must pay for a costly certification process

How many years must a farm be run organically before its produce can be labeled as “organic”?

3

What is a benefit of crop rotation?

Rotating crops can help build healthy soil.

Step-by-step explanation: Hope you pass! :)))

first one is C second one is 3 third one is A

hope i helped

Answer:

Area = 40

Perimeter = 26

Step-by-step explanation:

length = 8

width = 5

Area = 8 x 5 = 40

Perimeter = 2(8 + 5) = 26

If the null hypothesis is correct, the probability that the test will result in a type 1 mistake is what is known as the alpha level for a hypothesis test. In other words, even in the absence of a treatment effect, the alpha level impacts the likelihood of collecting sample data in the critical zone.

The alpha level establishes the boundaries for identifying the key area that results in "extremely unlikely" or significant results that deviate from the null hypothesis. The likelihood of making a Type I error is one in twenty, according to researchers who use an alpha value or level of significance of.05.

The chance of rejecting the null hypothesis when it is true is known as the significance level, which is alternatively written as alpha or. For instance, a significance level of 0.05 represents a 5% probability of assuming the existence of a difference when none actually exists.

Hence we get the required answer.

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Step-by-step explanation:

Given

length(l)=3cm

height(h)=4cm

breath or width (b)=2×h=2×4=8cm

now it is a cuboid

volume of cuboid=l×b×h=3×8×4=96cm³

Answer:32,cm3

Step-by-step explanation:

Austin's rate of motion is (1/70)π Radians per second.

To determine Austin's rate of motion in radians per second, we need to use the formula for angular velocity:

ω = Δθ / Δt

Where:

ω = angular velocity (in radians per second)

Δθ = change in angular displacement (in radians)

Δt = change in time (in seconds)

We know that Austin runs three-quarters of a circular track, which means he covers an arc length that is equal to three-quarters of the circumference of the circle. Let's call the radius of the circle "r". Then, the arc length covered by Austin is given by:

s = (3/4) * 2πr

s = (3/2)πr

We also know that it takes Austin 1 minute and 45 seconds to cover this distance. This is the same as 105 seconds (since 1 minute = 60 seconds).

So, Δt = 105 seconds

Now, we can calculate the change in angular displacement (Δθ). The total angle around a circle is 2π radians, so the angle covered by Austin is given by:

Δθ = (3/4) * 2π

Δθ = (3/2)π

Therefore, Austin's rate of motion (ω) in radians per second is:

ω = Δθ / Δt

ω = [(3/2)π] / 105

ω = (3/210)π

ω = (1/70)π radians per second

So, Austin's rate of motion is (1/70)π radians per second.

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Answer:

D

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = \(\frac{1}{2}\) x + 3 ← is in slope- intercept form

with slope m = \(\frac{1}{2}\)

• Parallel lines have equal slopes , then

y = \(\frac{1}{2}\) x + c ← is the partial equation

to find c substitute (2, - 4 ) into the partial equation

- 4 = \(\frac{1}{2}\) (2) + c = 1 + c ( subtract 1 from both sides )

- 5 = c

y = \(\frac{1}{2}\) x - 5 ← equation of parallel line

The least common multiple of 598 and 45 is 26, 910

To find the least common multiple of 598 and 45, you can use the prime factorization method. This involves finding the prime factors of both 598 and 45 and then multiplying these prime factors when they are in their highest power.

This gives:

598 prime factorization :

2 x 13 x 23 = 598

45 prime factorization :

3 x 3 x 5 = 45

The least common multiple is;

= 2 x 13 x 23 x 3 x 3 x 5

= 26, 910

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The margin of error is ±2%

A margin of error is a statistical measurement that accounts for the difference between actual and projected results in a random survey sample.

Let x be margin of error and y be the percentages of the population.  

So,

y-x =33%

y +x = 37%

Solving above equations

2y= 70

y= 35%

and x= 2%

Hence, the margin of error is ±2%.

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\(e^x=18\)

ex = 18 e x = 18 Take the natural logarithm of both sides of the equation to remove the variable from the exponent. ln(ex) = ln(18) ln (e x) = ln (18)

Answer:

8 pigs

Step-by-step explanation:

Since every animal has only 1 head, a total of 26 heads suggests that there are 26 animals in total.

Suppose all animals are chickens.

Total no. of feet = 26 chickens × 2 feet

                           = 52 feet

Difference in total no. of feet = 68 feet - 52 feet

                                                = 16 feet

Difference in no. of feet each animal has

= 4 feet (a pig) - 2 feet (a chicken)

= 2 feet

∴ No. of pigs = 16 feet ÷ 2 feet

                      = 8 pigs

Answer:

11.3 cm

Step-by-step explanation:

(see attached for reference)

using the Pythagorean theorem

hypotenuse ² = length ² + length ²

16² = L² + L²

16² = 2L²   (express 2 = (√2)²

16² = (√2)²L²  

16² = (√2L)²  

16 = √2L

L = 16 /√2

L = 11.3 cm

11.3

use Pythagoras theorem give each side is "a"

a^2+a^2=16^2

2*a^2=256

a^2=256/2=128

a=sqrt(128)=11.3 sqrt=square root

Answer:

7/9

Step-by-step explanation:

If the marble is not blue, the marble is either green, yellow or orange. That means we can add up 6, 12, and 10 to get 28. The total number of marbles in the bag is 36.

The probability that the marble will not be blue is 28/36. This can be simplified to 7/9

Hope this helps!

Here is your answer.

A tank contains 5832 litres of water.

Total amount of water in tank = 5832 litres.

Each day one-third of the water in the tank is removed and not replaced.

Since one third of the water is removed for six days.

1st day = 1/3rd of 5832 litres is removed

\( = \dfrac{5832}{3} = 1944\)

Amount of water left = 5832 - 1944 = 3888 litres

2nd day = 1/3rd of 3888 litres is removed

\( = \dfrac{3888}{3} = 1296 \)

Amount of water left = 3888 - 1296 = 2592 litres

3rd day = 1/3rd of 2592 litres is removed

\( = \dfrac{2592}{3} = 864 \)

Amount of water left = 2592 - 864 = 1728 litres

4th day = 1/3rd of 1728 litres is removed

\( = \dfrac{1728}{3} = 576 \)

Amount of water left = 1728 - 576 = 1152 litres

5th day = 1/3rrd of 1152 litres is removed

\( = \dfrac{1152}{3} =384 \)

Amount of water left = 1152 - 384 = 768 litres

6th day = 1/3rrd of 768 litres is removed

\( = \dfrac{768}{3} = 256 \)

Amount of water left = 1768 - 256 = 512 litres

So, 512 litres water remains in the tank at the end of 6 days

Answer:

2 zeros for odd numbers less than 10

3 zeros for even numbers less than 10

Step-by-step explanation:

Non-zero whole numbers less than 10 are;

1, 2, 3,4, 5, 6, 7, 8, and 9

The odd numbers include:

3, 5, 7, and 9

The product of 500 and any of these numbers will contain 2 zeros, the ones in the number 500.

On the other hand, the even numbers include;

2, 4, 6, and 8

The product of 500 and any of these numbers will contain 3 zeros of which 2 are the ones in the number 500 and 1 zero is as a result of multiplying 5 by an even number.

Answer:

8=8 so it is true

Step-by-step explanation:

Answer:

Where lines cross over each other. The lines have a common point.

Answer:

d

Step-by-step explanation:

The y- intercept is where the graph crosses the y- axis

The graph crosses the y- axis at (0, 1 ) ← y- intercept

Answer:

17.2413793103 hours

Step-by-step explanation:

100 divided by 5.8 = 17.2413793103

hope this helps!