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MA_775_DIABLO [31]
3 years ago
7

This is a GCSE maths question which i don’t understand.

Mathematics
1 answer:
Tpy6a [65]3 years ago
7 0

Answer:

15

Step-by-step explanation:

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Will mark brainliest, 60 points
Dominik [7]

Answer:

\boxed{ \bold{ \sf{ \: 1. \:  \:  \:  \:  \: 198}}}

\boxed{ \bold{ \sf{2. \:  \:  \:  \:  \:  - 8}}}

\boxed{ \bold{ \sf{ 3. \:  \:  \:  \:  \: \frac{64}{343} }}}

Step-by-step explanation:

1. Given, u = 20 , x = 4 , y = 7 , z = 10

\sf{ \frac{u}{z}  + x {y}^{2} }

⇒\sf{ \frac{20}{10}  + 4 \times  {7}^{2} }

⇒\sf{ \frac{20}{10}  + 4 \times 49}

⇒\sf{ \frac{20}{10}  + 196}

⇒\sf{ \frac{20 + 196 \times 10}{10} }

⇒\sf{ \frac{20 + 1960}{10} }

⇒\sf{ \frac{1980}{10} }

⇒\sf{198}

2. \sf{4( - 2)}

Multiplying or dividing a positive integer by any negative integer gives a negative integer

= - 8

3. \sf{( \frac{4}{7} ) ^{3} }

⇒\sf{( \frac{ {4}^{3} }{ {7}^{3} } })

⇒\sf{ \frac{4 \times 4 \times 4 }{7 \times 7 \times 7}}

⇒\sf{ \frac{64}{343} }

Hope I helped!

Best regards! :D

5 0
3 years ago
Read 2 more answers
[need math help] Study buddies part #2
rosijanka [135]

Answer:

Part A) The distance between Whitney's house and Anh's house is 6.5 miles.

Part B) The total distance traveled by Whitney during the trip was 9.5 miles.

Step-by-step explanation:

Part A)

Notice that during Whitney's journey to Anh's house, her velocity was negative for some time. So, Whitney was travelling backwards. Hence, the total distance Whitney traveled will be greater than the actual distance from Whitney's house to Anh's.

So, instead, we can calculate Whitney's total displacement. Total displacement is given by:

\displaystyle \text{Displacement}=\int_a^bv(t)\, dt

Where <em>v(t)</em> is the velocity function.

So, the displacement of Whitney when she traveled from her house to Anh's house will be:

\displaystyle \text{Displacement}=\int_0^{24}v(t)\, dt

To calculate the integral, we can split it off at <em>t</em> = 11, <em>t</em> = 16, and <em>t</em> = 24.

The three regions represent three geometric figures, which we can use to calculate the area and then find the integral. Rewriting:

\displaystyle \text{Displacement}=\int_0^{11}v(t)\, dt+\int_{11}^{16}v(t)\, dt+\int_{16}^{24}v(t)\, dt

Now, we can calculate the area of each figure.

The first figure is a trapezoid with a height of 0.8 and two bases of 11 and 3. So, its area is:

\displaystyle A_1=\frac{1}{2}(0.8)(11+3)=5.6\text{ miles}

The second figure is a triangle with a height of 0.6 and a base of 5. So, its area is:

\displaystyle A_2=\frac{1}{2}(0.6)(5)=1.5\text{ miles}

Lastly, the third figure is another triangle will a height of 0.6 and a base of 8. So, its area is:

\displaystyle A_3=\frac{1}{2}(0.6)(8)=2.4\text{ miles}

However, notice that the second figure is below the <em>x</em>-axis. During that interval, Whitney was traveling backwards. Hence, we will subtract the second area from the rest of the areas.

Then the displacement will be:

\displaystyle \text{Displacement}=5.6-1.5+2.4=6.5\text{ miles}

So, the distance between Whitney's house and Anh's house is 6.5 miles.

Part B)

The total distance differs from displacement in that it includes all the distances in both directions. It is given by:

\displaystyle \text{Distance}=\int_a^b|v(t)|\, dt

In other words, all of our values are now positive. We will utilize the same strategy:

\displaystyle \text{Distance}=\int_0^{11}|v(t)|\, dt+\int_{11}^{16}|v(t)|\, dt+\int_{16}^{24}|v(t)|\, dt

Substitute. The only difference is that we will add 1.5 instead of subtracting it. So:

\displaystyle \text{Distance} =5.6+1.5+2.4=9.5

Therefore, in this instance, Whitney traveled a total of 9.5 miles to get to Anh's house.

6 0
3 years ago
If f(x)=2(x)^2+5\sqrt((x+2)), complete the following statement <br> f(0)=
DENIUS [597]

Answer:  5

<u>Step-by-step explanation:</u>

f(x)=2(x)^2+5\\\\f(0)=2(0)^2+5\\\\.\qquad =0+5\\\\.\qquad =5

3 0
3 years ago
Would love it if someone helped with this question please...
nikklg [1K]

Answer:

$40.00

Step-by-step explanation:

to find the cost multiply the cost per unit by the number of units: 10/6 x 24 = 40

5 0
3 years ago
Read 2 more answers
Miles earns a 6% commission on each vehicle
slamgirl [31]

The total amount of his  commission for these vehicles is $ 1686

<em><u>Solution:</u></em>

Given that,

Miles earns a 6% commission on each vehicle  he sells

Therefore,

Commission rate = 6 %

Today he sold a truck for $18,500 and a  car for $9,600

Therefore,

Commission amount = 6 % of (18500 + 9600)

Commission amount = 6 % of 28100

Calculate the above equation

Commission\ amount = 6 \% \times 28100\\\\Commission\ amount = \frac{6}{100} \times 28100\\\\Commission\ amount = 6 \times 281 = 1686

Thus the total amount of his  commission for these vehicles is $ 1686

3 0
3 years ago
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