Factorise the following.​

Answer:

2827.4

Step-by-step explanation:

V = πr2h this is the equation that can be used for these problems.

V= π(10)2(9)

the radius is 10 because the diameter is 20. Divide the given diameter by 2 to find the radius.

Answer:

i have made it in above picture

Answer:

Step-by-step explanation:

Answer:

8x+7x+44.4=180

15x=180-44.4

15x =135.6

X=9.04

8x=9.04×8=72.32

9514 1404 393

Answer:

  a) 9:45 pm

  b) 10:57 pm

Step-by-step explanation:

In the 15 hours between 7:30 am and 10:30 pm, the clock hands will have moved 15×0.95 = 14.25 hours = 14 hours and 15 minutes.

At 10:30 pm, the clock indicates 9:45 pm.

__

b) In the 9 hours between 10:30 pm and 7:30 am, the clock will have moved 9×0.95 = 8.55 hours, or 8 hours 33 minutes. That is, the clock needs to be set 27 minutes ahead of the actual time.

The clock need to be set to 10:57 pm.

_____

Alternate solution

At 95% speed, the clock loses 5%×60 minutes = 3 minutes each hour. In the 15 hours from morning to night, the clock will be 45 minutes slow. It will indicate 9:45 at 10:30 pm.

In the 9 hours from night to morning, the clock will lose 27 minutes so needs to be set 27 minutes fast. It should be set to 10:57 pm at 10:30 pm.

9514 1404 393

Answer:

  (5, 1) or maybe (h, k)

Step-by-step explanation:

The given form has no letters other than the variable. The vertex in this vertex-form equation can be read from the expression as (5, 1).

In the generic vertex form ...

  f(x) = a(x -h)² +k

the letters (h, k) are used to represent the vertex.

__

You would need to consult your curriculum materials to see what letters your author uses for the vertex in vertex form.

Answer:

) -x*+5x=5. & x*-} x + 2x + x +4. 22 / 3 x ² - 1 / 8x + 5 x² { x + 5. --** - *-3.

Answer: y= 2x^3

Step-by-step explanation:

Let x = -6 and y = -1/2

4[(-6)^2 + 3)] - 2(-1/2)

4[(36 + 3)] + 1

4(39) + 1

156 + 1

Answer: 157

Answer:

(4,11) is the midpoint :)

Step-by-step explanation:

it would be

(-1,11), (9,11)

-1+9/2, 11+11/2

8/2, 22/2

4,11

Answer:

1/16

Step-by-step explanation:

(1/4×1/4)-6÷1/3+2

(1/16) - 6 ÷ 1/3 + 2

1/16 - 2 + 2

1/16 - 32/16 + 2

-31/16 + 2

-31/16 + 32/16

= 1/16

Hope this helps!

Answer:

Always sometimes

Step-by-step explanation:

A triangle has an interior angle total of 180 degrees, and if any of those three angles are obtuse, that forms an obtuse triangle.

Now suppose we had a triangle with two acute angles, but not having those two angles add up to more than 90 (consider 30 degrees and 20 degrees).

We can find the unknown angle through some quick subtraction (180 - 30 - 20 = 130).

Since one of the angles is an obtuse angle, this triangle is an obtuse triangle, even though this triangle possesses two acute angles (try drawing a picture, it'll help you visualize it), meaning that a triangle with two acute angles will only sometimes be an acute angle (when those two angles add up to an angle measure more than 90, meaning that the last angle will also be less than 90, making an acute triangle).

Hope this helps!

Answer: Equation for the line of best fit is given by f(x)=-4.28402x+0.0875

Step-by-step explanation: like what you just put in your picture

Long Course Season Recorded Best time

2005 2:33.42

2006 2:24.81

2007 2:10.93

2008 2:03.45

2009 1:58.67

2010 1:59.17

2011 1:55.06

2012 1:55.82

2013 1:54.81

2014 2:00.03

-Since we can see from the scatter plot that it has negative correlation.

Equation for the line of best fit is given by f(x)=-4.28402x+0.0875

- This is what I can give you I see some people do this work before and when I see it I just take note and I think it was the answer...

- Hope this help :)

Answer:

i have made it in above picture

Answer:

22.5 [tex]m^{2}[/tex]

Explanation:

The equation for the area of a triangle is [tex]\frac{1}{2}[/tex]bh

In this case, the base is 9 m and the height is 5 m

9x5=45

45/2= 22.5

Answer:

answer issssssssssssssss on the fhoto

Charlie will receive the ring in 21 months.

It is a method of buying something in which a person can make a downpayment to buy something at a store and the store holds the item on their behalf until the last payment is done after which they gain possession of it.

Charlie has put in a ring on layaway. This means that he will only receive the ring in 21 months after he has finished paying all the installments. He will not gain possession of the ring right away after making the downpayment of $85.

Thus, we have found that Charlie will receive the ring in 21 months. The correct answer is option A.

Learn more about layaway here: https://brainly.com/question/4428781

#SPJ2

Answer:

4/5 x 7/12 = 28/60 as simplified as 7/15 in fraction form. 4/5 x 7/12 = 0.4667 in decimal form.

Answer:

Each shirt costs $ 10, while each short costs $ 15.

Step-by-step explanation:

Since two brothers went shopping at a back to school sale where all shirts and shorts are the same price, and the younger brother spent $ 175 on 7 new shirts and 7 pairs of shorts while the older brother purchased 6 new shirts and 7 pairs of shorts and paid a total of $ 165, to determine the price of each shorts and each shirt the following system of equations must be considered:

Shirt = X

Short = Y

7X + 7Y = 175

6X + 7Y = 165

7X - 6X + 7Y - 7Y = 175-165

X = 10

7x10 + 7Y = 175

70 + 7Y = 175

7Y = 175 - 70

Y = 105/7

Y = 15

Thus, each shirt costs $ 10, while each short costs $ 15.

Answer:

3x + 4y =108

7x + 5y =114

Answer:

$35

Step-by-step explanation:

188-48 gives you the 4x what he saved

140/4 gives you the total which is 35.

Answer:

The answer is C

Step-by-step explanation:

Answer:

One.  The point at which the parabola and the line intersect.

Answer:

(a) Accept the alternate hypothesis

(b) [tex]t = 104.86[/tex]

Step-by-step explanation:

Given

[tex]\mu= 69[/tex]

[tex]\sigma = 5.0[/tex]

The sample data

Solving (a): Test whether the process increases the mean battery life

First, we state the null hypothesis

This states that the mean is 69

[tex]H_o :\mu = 69[/tex]

Next, the alternate hypothesis is to test that the mean has changed.

i.e [tex]H_a: \mu \ne 69[/tex]

Calculate the mean:

[tex]\mu = \frac{\sum x}{n}[/tex]

[tex]\mu = \frac{82.5 +78.4 +80.2 +78.7 +67.8 +76 +74.8 +73.9 +68.8 +70.3 +70.7 +70.7......+69.6 +70.4}{40}[/tex]

[tex]\mu = \frac{2923.5}{40}[/tex]

[tex]\mu = 73.0875[/tex]

Calculate the standard deviation

[tex]\sigma = \sqrt{\frac{\sum(x - \mu)^2}{n}}[/tex]

[tex]\sigma= \sqrt{\frac{(82.5-73.0875)^2 +(78.4 -73.0875)^2 +(80.2 -73.0875)^2 +(78.7 -73.0875)^2 +......+(70.4-73.0875)^2}{40}}[/tex][tex]\sigma= \sqrt{\frac{776.76375}{40}}[/tex]

[tex]\sigma= \sqrt{19.41909375}[/tex]

[tex]\sigma= 4.407[/tex]

From the calculations above: The calculated mean 73.0875 is not the same as 69.

Hence, we accept the null hypothesis that: [tex]H_a: \mu \ne 69[/tex]

Solving (b): The test statistic

This is calculated as:

[tex]t = \frac{\mu}{\sigma/\sqrt n}[/tex]

This gives:

[tex]t = \frac{73.0875}{4.407/\sqrt {40}}[/tex]

[tex]t = \frac{73.0875}{4.407/6.325}[/tex]

[tex]t = \frac{73.0875}{0.697}[/tex]

[tex]t = 104.86[/tex]

Answer:

2g - f

Step-by-step explanation:

Answer: x=5

x= 2

Step-by-step explanation:

Answer:

5^7

Step-by-step explanation:

Answer: D

Step-by-step explanation: