Evaluate 4p+q/p when p= -2 and q= -3

a) -11/2
b) 9/2
c) -9/2
d) 11/2​

Answer:

Step-by-step explanation:

Given twice the perimeter of rectangle =160

Let width of the rectangle=X

So length of the rectangle =4x

2(perimeter of rectangle)=160

2[2(length+width)]=160

4(4x+x)=160

5x=160/4

5x=40

X=40/8

X=5cm

So length of the rectangle =4x

=20cm

Width of the rectangle =X

=5cm.

Length = 4*5 = 20 cm

Width. = 4 cm.

Answer:

Both would work.

Step-by-step explanation:

If we call Jackie's apples a, then Mark has a - 4 apples. Therefore, together they have a + (a - 4) apples, and we know that they have a total of 12 apples so we can write a + (a - 4) = 12 to represent the situation. On the other hand, if Mark has a apples, then Jackie has a + 4 apples, so we can also write a + (a + 4) = 12 to represent the situation as well. Therefore, both of the equations would work. Hope this helps!

Answer:

both

Step-by-step explanation:

I got it right on the quiz

Answer:

Step-by-step explanation:

Small order of fries at Wendy’s = x calories

Small order of fries at McDonald’s = y calories

Substitute x in the second equation

Then, x is:

Answer:

a. The 95% confidence interval is 0.799<p<0.847

b. The sample size n is 622

Step-by-step explanation:

A

P^ = 823/1000

= 0.823

At 95% confidence interval

P^ +- z-alpha/2√p^(1-p^)/n

z-alpha/2 = 1.96

When we insert values we get:

0.823+-1.96√0.823(1-0.823)/1000

= 0.823+-1.96√0.000145671

= 0.823+-1.96(0.012069)

= (0.8467, 0.7993)

The 95% confidence interval is 0.799<p<0.847

B.

We are to compute the sample size here.

The formula and full calculation has been done in the attachment.

4268.4x0.145671

= 621.78

= 622

n = 622

Answer:

4 sacks

Step-by-step explanation:

Answer:

the answer is 93

Step-by-step explanation:

i dont know how to explain it but just use a calculator.

Answer:

No (The linear model did a very bad job of approximating the data.)

I am so sorry if this in incorrect.

The percentage illumination of the moon's surface is not a linear function of day

From the complete question, the dataset can be represented using the following table:

Days   Percentage Illumination

1           2%

2          6%

3          50%

4          100%

Notice that as the number of days increase by 1, the percentage illumination of the moon increase at different intervals

This means that the percentage illumination is not a linear function of day

Read more about linear functions at:

https://brainly.com/question/14323743

#SPJ2

Answer:

9(3+5)

Step-by-step explanation:

My favorite pancake recipe

2 cups all purpose | plain flour, (290 g | 10 oz)

1/4 cup granulated sugar or sweetener, (60g | 2 oz)

4 teaspoons baking powder

1/4 teaspoon baking soda

1/2 teaspoon salt

1 3/4 cups milk, (440ml)

1/4 cup butter, (60g | 2 oz)

2 teaspoons pure vanilla extract

1 large egg

Combine everything in a bowl (separate wet and dry) and cook at medium low heat until it is brown and there are bubbles on top. Then serve with syrup. Good luck!!!

Answer: 8(3+6)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

(16x +1) -5x

you basically subtract the -5x from 16x

11x +1

Answer:

3/4

Step-by-step explanation:

4/5 divided by 16/15 = 4/5 x 15/16

Simplfied = 1 x 3 / 1 x 4

Simplified = 3/4

Thus, our answer is 3/4

Answer:

answer: 5^36

Step-by-step explanation:

(5^9)^4

5^9x4

5^36

answer: 5^36

alternative form 1.45519x 10^25

Answer:

is 5^36

Exact Form:

14551915228366900000000000

Decimal Form:

1.45519152⋅10^[tex]{25}[/tex]

Answer:

6 orders per day.

Step-by-step explanation:

12 divided by 2 is 6.

This means that in one day they can pack 6 orders.

Answer:

12 orders in 2 days = 6 orders per day

Step-by-step explanation:

In two days, 12 orders were completed. To find the amount of orders per day, we divide the number of orders by the number of days.

12÷2=6

Therefore, 6 orders per day.

Answer:

6

Step-by-step explanation:

Answer:

A. -8x⁷ + 18x⁵y⁵ - 12x²y⁴ + 27y⁸

Step-by-step explanation:

Given:

(2x⁵ + 3y⁴)(-4x² + 9y⁴)

Required:

Find an equivalent polynomial

Solution:

(2x⁵ + 3y⁴)(-4x² + 9y⁴)

Using distributive property of multiplication

2x⁵(-4x² + 9y⁴) + 3y⁴(-4x² + 9y⁴)

-8x⁷ + 18x⁵y⁴ - 12x²y⁴ + 27y⁸

There are no like terms to add or combine, therefore:

(2x⁵ + 3y⁴)(-4x² + 9y⁴) = -8x⁷ + 18x⁵y⁵ - 12x²y⁴ + 27y⁸

Answer:

-8x^7 + 18x^5y^5 - 12x^2y^4 + 27y^8

Step-by-step explanation:

I took the test

Answer:

The product can be calculated.

The resulting matrix will have 3 rows and 3 columns.

Step-by-step explanation:

Matrix multiplication

To find the product of two matrices is only possible when the number of columns of the first matrix is equal to the number of rows of the second matrix.

If X is the first matrix with dimensions (n x m) and Y is the second matrix with dimensions (m x p), the product XY is possible and the dimensions of the resulting matrix are (n x p).

Matrix A has two rows and three columns (2x3)

Matric C has three rows and two columns (3x2)

If we wanted to calculate the product CA, the number of columns of C must be equal to the number of rows of A.

Since both numbers are 2, the product can be calculated.

The resulting matrix will have 3 rows and 3 columns.

Answer:

Ithink b

Step-by-step explanation:

because all of them are they dissimilar to the reason

Answer:

[tex]I_1=40I_2[/tex]

Step-by-step explanation:

[tex]M_1[/tex] = Magnitude of 1994 earthquake = 6.7

[tex]M_2[/tex] = Magnitude of 2014 earthquake = 5.1

[tex]I_1[/tex] = Intensity of 1994 earthquake

[tex]I_2[/tex] = Intensity of 2014 earthquake

[tex]I_0[/tex] = Zero-level earthquake the same distance from the epicenter = 0.001 mm

Magnitude is given by

[tex]M_1=\log(\dfrac{I_1}{I_0})\\\Rightarrow I_010^{M_1}=I_1\\\Rightarrow I_1=I_010^{6.7}[/tex]

[tex]M_2=\log(\dfrac{I_2}{I_0})\\\Rightarrow I_010^{M_2}=I_2\\\Rightarrow I_2=I_010^{5.1}[/tex]

Dividing the above intensities with each other we get

[tex]\dfrac{I_1}{I_2}=\dfrac{I_010^{6.7}}{I_010^{5.1}}\\\Rightarrow \dfrac{I_1}{I_2}=39.81\approx 40\\\Rightarrow I_1=40I_2[/tex]

The intensity of the earthquake in 1994 was 40 times stronger than the earthquake in 2014.

Answer:

a. 99

b. 12.31

Step-by-step explanation:

a. Estimate of the population mean number of units sold per month

n = Number of Data Values = 5

Sum of Data Values = Σxi =97 + 120 + 88 + 97 + 93 =  495

Sample Mean = X = Σxi/n = 495 / 5 = 99

The population mean number of units sold per month is 99

b. Estimate of the population standard deviation

Month    Data (x)     X    x - X    (x - X)^2

   1             97          99     -2         4

   2            120        99      21       441

   3             88         99      -11       121

   4             97         99      -2        4

   5             93         99      6         36

Sum of deviation squared          606

s^2 = Sample Variance = Σ(xi - X)2/(n - 1)

Sample Variance = 606/4 = 151.5

Sample Standard Deviation = √Sample Variance

Sample Standard Deviation = √151.5

Sample Standard Deviation = 12.30853362509117

Sample Standard Deviation = 12.31

The point estimate of the population standard deviation is 12.31

The constant rate of change of the account is $40 or Increasing by $40 per month.

Step-by-step explanation:

Consider the provided information.

Joanne is depositing money into a bank account. After 3 months there is $120 in the account. After 6 months there is $240 in the account.

Rate of change is known as how one quantity change in relation to other.

The rate of change can be calculated as:

y2-y1/x2-x1  

Now use the above formula to calculated the rate of change.

240 - 120/6-3

120/3

40

Hence, the constant rate of change of the account is $40 or Increasing by $40 per month.

Answer:

I= f.t = (50) (0.01) = (0.5) kg.m15

Step-by-step explanation:

jesus loves you and cares for you

Answer:

Hey man! Please upload a picture of your line and I'll hapily find the x intercept. If you can't the way to find an x intercept is to see where the x is zero and find what the y is so (0,y)

Answer:

1. 3

2. 200

3. 45

Step-by-step explanation:

Answer:

d. 165 calories

Step-by-step explanation:

First of all, we would find the amount of calories in 1 gram of the artificial sweetener

1 gram = 220/75

1 gram = 2.93 calories

Therefore, 484 grams has;

484 * 2.93 = 165.2

Approximately, this is equal to 165 calories.

Method 2

220 grams of the artificial sweetener has 75 calories.

484 grams of the artificial sweetener has x calories.

Translating the word problem into an algebraic equation, we have;

220 = 75

484 = x

Cross-multiplying, we have;

220x = 75*484

220x = 36300

x = 36300/220

x = 165 calories.