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3 years ago

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If an addition expression gives the same value as a multiplication expression, what is an advantage of using either method? PLEA

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1 answer:

MakcuM [25]3 years ago

8 0

Answer:

Write the expression (−15.5) + 35.5 in a different way, using the commutative

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Whats between 0 and <img src="https://tex.z-dn.net/?f=%20%5Cpi%20%2F2" id="TexFormula1" title=" \pi /2" alt=" \pi /2" align="abs

Nataly_w [17]

Pi divided by 2 is <span>1.57079632679 so anything bigger than 0 and less than that number should be between.</span>

7 0

3 years ago

15 POINTS‼️‼️‼️<br><br> Part B: Solve for x. Show your work.

Musya8 [376]

Answer:

Step-by-step explanation:

A straight line adds up to 180 degrees, therefore 3x+6x = 180

9x = 180

x = 20

7 0

3 years ago

Listed below are head injury measurements from small cars that were tested in crashes. The measurements are in "hic," which is

Sholpan [36]

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

Listed below are head injury measurements from small cars that were tested in crashes. The measurements are in "hic," which is a measurement of a standard "head injury criterion," (lower "hic" values correspond to safer cars). The listed values correspond to cars A, B, C, D, E, F, and G, respectively.

514 541 302 400 507 406 369

Find the

a. mean,

b. median,

c. midrange,

d. mode for the data.

Also complete parts e. and f.

e. Which car appears to be the safest?

f. Based on these limited results, do small cars appear to have about the same risk of head injury in a crash?

Answer:

a) Mean = 434.14

b) Median = 406

c) Midrange = 421.5

d) Mode = 0

e) Car C appears to be the safest

f) The small cars does not appear to have about the same risk of head injury in a crash.

Step-by-step explanation:

We are given the head injury measurements from small cars that were tested in crashes.

The measurements are in "hic," which is a measurement of a standard "head injury criterion.

The listed values are;

A = 514

B = 541

C = 302

D = 400

E = 507

F = 406

G = 369

a) Mean

The mean of the measurements is given by

Mean = Sum of measurements/ Number of measurements

Mean = (514 + 541 + 302 + 400 + 507 + 406 + 369)/7

Mean = 3039/7

Mean = 434.14

b) Median

Arrange the measurements in ascending order (low to high)

302, 369, 400, 406, 507, 514, 541

The median is given by

Median = (n + 1)/2

Median = (7 + 1)/2

Median = 8/2

Median = 4th

Therefore, the 4th measurement is the median that is 406

Median = 406

c) Mid-range

The midrange is given by

Midrange = (Max + Min)/2

The maximum measurement in the data set is 541

The minimum measurement in the data set is 302

Midrange = (541 + 302)/2

Midrange = 843/2

Midrange = 421.5

d) Mode for the data

The mode of the data set is the most repeated measurement.

302, 369, 400, 406, 507, 514, 541

In the given data set we don't have any repeated measurement therefore, there is no mode or we can say the mode of this data set is 0.

Mode = 0

e) Which car appears to be the safest?

Since we are given that the measurements are in "hic," which is a measurement of a standard "head injury criterion," (lower "hic" values correspond to safer cars)

The lowest hic value corresponds to car C that is 302

Therefore, car C appears to be the safest among other cars.

f) Based on these limited results, do small cars appear to have about the same risk of head injury in a crash?

302, 369, 400, 406, 507, 514, 541

As you can notice, the hic values differ a lot from each other therefore, we can conclude that the small cars does not appear to have about the same risk of head injury in a crash.

8 0

3 years ago

Bentley is going to invest $98,000 and leave it in an account for 7 years. Assuming

den301095 [7]

Answer:

The rate of interest for compounded daily is 2.1 6

Step-by-step explanation:

Given as :

The principal investment = $ 98,000

The Time period for investment = 7 years

Let The rate of interest compounded daily = R %

The Amount at the end up = $ 114,000

<u>From compounded method</u>

Amount = Principal × $(1+\dfrac{rate}{365\times 100})^{365\times Time}$

Or, $ 114,000 = $ 98,000 × $(1+\dfrac{R}{365\times 100})^{365\times 7}$

Or, $\frac{114000}{98000}$ = $(1+\dfrac{R}{36500})^{2555}$

or, 1.16326 = $(1+\dfrac{R}{36500})^{2555}$

or, $(1.16326)^{\frac{1}{2555}}$ = 1 + $\frac{R}{36500}$

1.00005919 - 1 = $\frac{R}{36500}$

or, 0.00005919 = $\frac{R}{36500}$

∴ R = 0.00005919 × 365000 = 2.16

Hence the rate of interest for compounded daily is 2.1 6 Answer

4 0

3 years ago

If 5 + 20 times 2 Superscript 2 minus 3 x Baseline = 10 times 2 Superscript negative 2 x Baseline + 5, what is the value of x? –

sp2606 [1]

Answer:

<h3>Option D) 3 is correct</h3><h3>Therefore the value of x is 3</h3>

Step-by-step explanation:

Given equation is $5+20\times (2)^{2-3x}=10\times (2)^{-2x}+5$

<h3>To find the value of x :</h3>

First solving the given equation we have,

$5+20\times (2)^{2-3x}=10\times (2)^{-2x}+5$

$5+20\times (2)^{2-3x}-5=10\times (2)^{-2x}+5-5$

$20\times (2)^{2-3x}=10\times (2)^{-2x}$

$20\times (2)^2.(2)^{-3x}=10\times (2)^{-2x}$

$20\times 4.(2)^{-3x}=10\times (2)^{-2x}$

$80(2)^{-3x}=10\times (2)^{-2x}$

$\frac{80}{10}(2)^{-3x}=\frac{10\times (2)^{-2x}}{10}$

$8(2)^{-3x}=(2)^{-2x}$

$\frac{(2)^{-3x}}{(2)^{-2x}}=\frac{1}{8}$

$(2)^{-3x}.(2)^{2x}=\frac{1}{2^3}$ ( by using the property $\frac{1}{a^{-m}}=a^m$ )

$2^{-3x+2x}=\frac{1}{2^3}$ ( by using the property $a^m.a^n=a^{m+n}$ )

$2^{-x}=\frac{1}{2^3}$

$\frac{1}{2^x}=\frac{1}{2^3}$ ( by using the property $a^{-m}=\frac{1}{a^m}$ )

Since bases are same so powers are same

Therefore we can equate the powers we get x=3

<h3>Therefore the value of x is 3</h3><h3>Option D) 3 is correct</h3>

5 0

3 years ago

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