3. It is given that the simultaneous linear equations px + 4y = 10 and qx - 2y = 1 have no solution. Express p in terms of q.
​

Answer:

C

Step-by-step explanation:

Becuase 68 is closer to c than b

Answer:

5. -6/4

6. 1/2

7. 12/15

8. -21/8

Step-by-step explanation:

Steps are in picture

Answer:

Step-by-step explanation:

Fraction division:

Use KCF method

K - Keep the first fraction

C - Change division to multiplcation

F - Flip the second fraction

[tex]5) \dfrac{-6}{11} \div \dfrac{4}{11}=\dfrac{-6}{11}*\dfrac{11}{4}[/tex]

                  [tex]= \dfrac{-3}{2}\\\\= -1\dfrac{1}{2}[/tex]

[tex]6) 1\dfrac{1}{6} \div 2\dfrac{1}{3}=\dfrac{7}{6} \div \dfrac{7}{3}[/tex]

                [tex]= \dfrac{7}{6}*\dfrac{3}{7}\\\\= \dfrac{1}{2}[/tex]

[tex]7) -4\dfrac{1}{5} \div -1\dfrac{3}{4}=\dfrac{-21}{5} \div \dfrac{-7}{4}[/tex]

                        [tex]=\dfrac{-21}{5}*\dfrac{4}{-7}\\\\= \dfrac{3}{5}*\dfrac{4}{1}\\\\=\dfrac{12}{5}\\\\=2\dfrac{2}{5}[/tex]

[tex]8) -6\dfrac{1}{8} \div \dfrac{7}{3}=\dfrac{-49}{8} \div \dfrac{7}{3}[/tex]

                    [tex]= \dfrac{-49}{8}*\dfrac{3}{7}\\\\= \dfrac{-7}{8}*\dfrac{3}{1}\\\\=\dfrac{-21}{8}\\\\=-2\dfrac{5}{8}[/tex]

Answer:

E.65

Step-by-step explanation:

Answer:

[tex]f(4)=8[/tex]

Step-by-step explanation:

Given:

[tex]\implies f(2)=2f(1)=2(1)=2[/tex]

[tex]\implies f(3)=2f(2)=2(2)=4[/tex]

[tex]\implies f(4)=2f(3)=2(4)=8[/tex]

Answer:

65

Step-by-step explanation:

I got it right on my test!

Answer:

218.36 m^3

Step-by-step explanation:

volume = 1/3 * base area * height

volume = 1/3 * (9.1*6.8) * 10.6

volume = 1/3 * (61.8) * 10.6

colume = 20.6 * 10.6

volume = 218.36

Answer:

109.3 m³

Step-by-step explanation:

Volume of a pyramid

Base Area

Solving

Answer:

6

Step-by-step explanation:

draw a model and fit in some traingles

Answer:

it’s B :)

Step-by-step explanation:

give a that is if u think my dog is cute

The difference of the sample means is statistically significant because it falls outside the 5% significance level.

The formula for a 95% confidence interval for the difference between two population means is:

(sample mean difference) ± (critical value) x (standard error of the mean difference)

Assuming a two-tailed test and a sample size greater than 30, the critical value is approximately 1.96. The standard error of the mean difference is calculated by dividing the standard deviation of the sample mean differences by the square root of the sample size.

So, the 95% confidence interval is:

1.74 ± 1.96 x (0.69/√n)

Assuming that the sample size is not given, we cannot calculate the exact confidence interval. However, we can say that the confidence interval will be of the form:

1.74 ± (some number)

Therefore, the 95% confidence interval is a range of values that contains the true population mean difference with 95% confidence.

Blank 1: -1.26

Blank 2: 3.44

In order to determine whether the difference is statistically significant, we need to compare the confidence interval to the null hypothesis of no difference. If the confidence interval does not contain the null hypothesis value, then we can reject the null hypothesis and conclude that the difference is statistically significant at the chosen significance level (5% in this case).

The null hypothesis in this case is that there is no difference between the population means. Since we are assuming this for the purpose of constructing the confidence interval, the null hypothesis value is 0.

The confidence interval in Part A does not contain the null hypothesis value of 0, since it ranges from -1.26 to 3.44. Therefore, we can reject the null hypothesis and conclude that the difference is statistically significant at the 5% significance level.

So, the correct answer is that the difference of the sample means is statistically significant because it falls outside the 5% significance level.

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Answer:

3.2%

Step-by-step explanation:

I = prt

I = $13,536 - $12,000 = $1,536

1,536 = 12,000 × r × 4

r = 1,536/(12,000 × 4)

r = 0.032 = 3.2%

Answer:

Formula: ( a+b) (a-b)

a=100

b=6

100+6=106

100+6=106100-6= 94

➡ 2. 100² - 6²

= (100 - 6) ( 100 + 6)

= 94 * 106

( THE BOLD IS THE FINAL ANSWER FOR BOTH QUESTIONS)

The volume of a sphere with radius 8 units is 2143.57 units³

What is a Sphere?

A sphere is symmetrical, round in shape. It is a three dimensional solid, that has all its surface points at equal distances from the center. It has surface area and volume based on its radius. It does not have any faces, corners or edges.

The Surface Area of a Sphere = 4πr²

The Volume of a Sphere = ( 4/3 ) πr³

where r is the radius of the sphere

Given data ,

Let the volume of the sphere be represented as A

Now , the value of A is

Let the radius of the sphere be r

The value of r = 8

Now , the formula to calculate the volume of the sphere is

Volume of a Sphere = ( 4/3 ) πr³

Substituting the values in the equation , we get

Volume of a Sphere = ( 4/3 ) x 3.14 x 8 x 8 x 8

Volume of a Sphere = ( 4/3 ) x 3.14 x 512

Volume of a Sphere = ( 4/3 ) x 1607.68

Volume of a Sphere = 2143.57 units³

Therefore , the value of A is 2143.57 units³

Hence , the volume of the sphere is 2143.57 units³

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Answer:

One

Step-by-step explanation:

For unique triangles with 3 sides, the sum of the two shorter sides must be greater than the third side.

Shorter sides:  6 cm and 2.5 cm

Longer side:  6.5 cm

6 + 2.5 = 8.5

As 8.5 > 6.5 this is a unique triangle

As the side lengths are fixed, only one unique triangle can be formed.

Answer:

The interest rate would be 2.5%

Step-by-step explanation:

answer 42 grams.

since total is 250 with 4 box combined. then , 250/4 = 42.25. which is approximately 42 grams

Answer:

12 players

Step-by-step explanation:

the team started off with $1386.50

subtract $1137.50 for the rented bus

[tex]1386.50 - 1137.50 = 249[/tex]

the team has $249 left for the meals and a meal costs $20.75 for each player.

249 ÷ 20.75 = 12

the team can bring 12 players to the tournament.

Answer:

you add up the number and then take that answer and multiply that. with the nuber alone

Step-by-step explanation:

add up 8 7 11 6. 12 and then multiply that answer by 11. how to do it..... 8+7+11+6+12 =? 11×?=

Answer:

33

Step-by-step explanation:

2x+3x+20-5=180

5x+15=180

5x=180-15

5x=165

165/5=33

1550 sq. in

hope it helps..!!!

Answer:

8

Step-by-step explanation:

We can form a simple ratio to solve this problem.

Flaws:Total Box

Plug in current values

4:22

44/22 = 2

Multiply the ratio by 2

8:44

8 boxes would be flawed.

Answer:

8

Step-by-step explanation:

There are 2 ways to do this I have seen.

1. 4/22 will get you .18, you can then multiply that by 44 and get 8

2. 22*2 is 44 so you can assume the number of flaws will also be the same amount multiplied (a multiple of 2) and you will get 8

Answer:

Step-by-step explanation:

Answer: Add 40 to both sides to collect like terms on each side of the equation

Step-by-step explanation: That's the first step

Answer:

a1=2 and r=-1

Step-by-step explanation:

"A geometric series is a series with a constant ratio between successive terms".

Here, we can observe that the first term 'a' is '2'.

And the common ratio 'r' =

Therefore, the first term 'a' is 2 and common ratio 'r' is '-1'.

First term, a, is 2.  Next term, -2, is the product of 2 and -1 and is -2.  Next term, 2, is the product of -2 and -1.  Thus, the first term, a, is 2 and the common ratio, r, is -1

Answer:

a1 = 2 and r = –1

Step-by-step explanation:

The answer above is correct.

Answer:

4 weekdays and 2 weekends.

Step-by-step explanation:

6 days.

x = weekdays

y = weekends

7x = amount with weekdays

12y = amount with weekends

7x + 12y = 52, total

x + y = 6, amount of days

solve double variable equation

x = 6 - y, plug in to 1st equation

7(6 - y) + 12y = 52

42 - 7y + 12y = 52

5y = 10

y = 2 weekends

2 + x = 6

x = 4 weekdays

Answer:

-28

Step-by-step explanation:

-2x-24

-2(2)-24

-4-24

-28

Vertex form of parabola

From the equation given

As a is negative parabola facing downwards

Graph attached

Answer:

the point 6,5 is the maximum Value of c out of the other points

Answer:

[tex]\frac{1}{12}[/tex]

Step-by-step explanation:

The probability of picking a 3 is 1/4.

The probability of picking up a 1 the second time will be 1/3 since there will only be 3 cards left after the first time picking up the 3.

So 1/4 x 1/3 = 1/12

Answer: Concave down

Explanation:

An example is shown below. We have the concave down parabola [tex]y = -x^2+7[/tex] marked in red. The trapezoidal sum is in blue. The three trapezoids combine to something just a bit smaller than the true area under the curve from x = -2 to x = 1. Therefore, this trapezoidal sum is an underestimate of the true area under the curve.

Every part of each trapezoid is completely below the red curve. In other words, no part of the blue pieces spill above the parabola.