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nika2105 [10]
2 years ago
13

What is the product? (5r − 4)(r2 − 6r + 4)

Mathematics
2 answers:
Kamila [148]2 years ago
7 0

Answer:

a

Step-by-step explanation:

thank me later

stiks02 [169]2 years ago
5 0
(5r - 4)(r² - 6r + 4)

distributive property of multiplication.

5r(r² - 6r + 4) - 4(r² - 6r + 4)
5r³ - 30r² + 20r - 4r² + 24r - 16

group like terms and simplify.

5r³ - 30r² - 4r² + 20r + 24r - 16

5r³ - 34r² + 44r - 16  Choice A.
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Four people at pia’s pottery shop each make 29 mugs and 18 pottery bowls three people at Jason’s craft shop each make the same n
BartSMP [9]

The seven people made 383 objects in all

Step-by-step explanation:

The given is:

  • Four people at pia’s pottery shop each make 29 mugs and 18 pottery bowls
  • Three people at Jason’s craft shop each make the same number of mugs and twice as many pottery bowls

We need to find how many objects the seven people made in all

∵ Four people at pia’s pottery shop each make 29 mugs

∵ Three people at Jason’s craft shop each make the same

    number of mugs

∴ Seven people in the two shops made 29 mugs each

∴ The total number of mugs = 7 × 29

∴ The total number of mugs = 203

∵ Four people at pia’s pottery shop each make 18 pottery bowls

∵ Three people at Jason’s craft shop each make twice as

    many pottery bowls

- Multiply the number of bowls by 2

∴ Three people at Jason’s craft shop each make 2 × 18 = 36

   pottery bowls

∴ The total number of pottery bowls = (4 × 18) + (3 × 36)

∴ The total number of pottery bowls = 72 + 108

∴ The total number of pottery bowls = 180

Now add the total number of mugs and the total number of pottery bowls to find the total number of objects the seven people made

∵ The total number of mugs is 203

∵ The total number of pottery bowls is 180

∴ The total number of objects = 203 + 180

∴ The total number of objects = 383

The seven people made 383 objects in all

Learn more;

You can learn more about the word problems in brainly.com/question/10557938

#LearnwithBrainly

8 0
2 years ago
A hole is drilled in a sheet-metal component, and then a shaft is inserted through the hole. The shaft clearance is equal to dif
VashaNatasha [74]

Answer:

(A)

P(X \geq 0.8) = \int\limits_{0.8}^{\infty} f(x) \, dx  = \int\limits_{0.8}^{1} 1.25(1-x^4) \, dx = 0.08192

(B)

Then the cumulative function would be

CF(x) = 1.25x - 0.25x^5       if   0<x<1

0 otherwise.

Step-by-step explanation:

(A)

We are looking for the probability that the random variable X is greater than 0.8.

P(X \geq 0.8) = \int\limits_{0.8}^{\infty} f(x) \, dx  = \int\limits_{0.8}^{1} 1.25(1-x^4) \, dx = 0.08192

(B)

For any  x you are looking for the probability P(X \geq x)  which is

P(X \geq x)  = \int\limits_{-\infty}^{x}  1.25(1-t^4) dt = \int\limits_{0}^{x}  1.25(1-t^4) dt = 1.25x - 0.25x^2

Then the cumulative function would be

CF(x) = 1.25x - 0.25x^5       if   0<x<1

0 otherwise.

5 0
2 years ago
Meteorologists look for weather trends across US states in the same geographical region. Kentucky and Illinois share a border. T
olya-2409 [2.1K]

The average annual temperatures (°F) from 1991 to 2000 for Kentucky were 57.5, 55.1, 52.2, 55.6, 55.6, 54.4, 54.5, 58.3, 57.3, and 55.7.

We have to evaluate the measures of center.

Firstly, we will calculate the mean.

Mean = (Sum of all the observations)/ (Total number of observations)

Mean =  \frac{57.5+55.1+52.2+55.6+55.6+54.4+54.5+58.3+57.3+55.7}{10}

= \frac{556.2}{10}

= 55.62

Now, we will calculate mode.

Mode is a statistical term that refers to the most frequently occurring number found in a set of numbers.

Consider the data 57.5, 55.1, 52.2, 55.6, 55.6, 54.4, 54.5, 58.3, 57.3, and 55.7.

Mode = 55.6

Now, we will calculate the median.

Firstly, we will arrange in the ascending order.

52.2, 54.4, 54.4,55.1 ,55.6, 55.6, 55.7, 57.3, 57.5, 58.3

Since there are 10 terms.

Median = \frac{n}{2}th observation

Median = 5th observation.

Since, the 5th observation is 55.6.

Therefore, the median is 55.6

5 0
2 years ago
Read 2 more answers
I will give brainliest.....
just olya [345]

Answer: it’s b, f(x)=54(2/3)^x-1

Step-by-step explanation:

8 0
1 year ago
Read 2 more answers
Noelle stands at the edge of a cliff and drops a rock. The height of the rock is given by the function f(x)-4.9x2 + 15, where c
Oxana [17]
A graphing calculator shows the rocks are at the same height 1.5 seconds after they are released.

That height is 3.975 meters.

_____
f(x) = g(x)
-4.9x^2 +15 = -4.9x^2 +10x
15 = 10x . . . . . . . . . . . . . . . . . . add 4.9x^2
1.5 = x . . . . . . . . . . . . . . . . . . . divide by 10
f(1.5) = -4.9*2.25 +15 = 3.975

3 0
2 years ago
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