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3 years ago

The scale is 1 cm : 4 m.

Mathematics

1 answer:

KatRina [158]3 years ago

5 0

Answer:

7.5 cm: 30 cm

Step-by-step explanation:

The scale is 1 cm: 4cm which is 1/4. The next one would be 7.5 cm: 30 cm because that is also equal to 1/4.

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Can someone please help me with this! I'll do my best to give a lot of points for it!

Triss [41]

1. By combining like terms
2. Same variable = same term, so you can combine them
3. Because 2y - y = 1y , and 1y is the same as y because a y is one y (obviously)
4. 1/2 + 1/2 = 1. A half an x and a half an x makes one whole x, therefore, x
5. No. You solve them like you would a normal equation with like terms. So it would be 3z^2

Hopefully these are right, I’m a bit rusty!
6. 4x
7. 3y
8. y - 4.5
9. 3.5x + 2
10. 4y + 2
11. 7x
12. 2.2w - 0.5
13. 23b + 6.6
14. 3.75x + 1.5
15. 0.8x + 2.1
Good luck, I hope this helped

8 0

3 years ago

Jake says adding 0 to an addendum does not change a sum. Is he correct

siniylev [52]

Nothing changes if you don't add anything.

Example:

10+10=20
20+0=20

nothing changes.

5 0

3 years ago

If 10000 is invested at an interest rate of 10 per year ,compound semiannually,find the value of the investment after the given

slega [8]

Answer:

Part a) $\$17,958.56$

Part b) $\$32,251.00$

Part c) $\$57,918.16$

Step-by-step explanation:

<u><em>The complete question is</em></u>

If $10,000 is invested at an interest rate of 10% per year, compounded semiannually, find the value of the investment after the given number of years. (Round your answers to the nearest cent.)

a)6 years

b)12 years

c)18 years

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

Part a) 6 years

we have

$t=6\ years\\ P=\$10,000\\ r=10\%=10/100=0.10\\n=2$

substitute in the formula above

$A=10,000(1+\frac{0.10}{2})^{2*6}$

$A=10,000(1.05)^{12}$

$A=\$17,958.56$

Part b) 12 years

we have

$t=12\ years\\ P=\$10,000\\ r=10\%=10/100=0.10\\n=2$

substitute in the formula above

$A=10,000(1+\frac{0.10}{2})^{2*12}$

$A=10,000(1.05)^{24}$

$A=\$32,251.00$

Part c) 18 years

we have

$t=18\ years\\ P=\$10,000\\ r=10\%=10/100=0.10\\n=2$

substitute in the formula above

$A=10,000(1+\frac{0.10}{2})^{2*18}$

$A=10,000(1.05)^{36}$

$A=\$57,918.16$

7 0

4 years ago

What is the slope of the line that passes through the points (-5,0) and (7,8)?

Paraphin [41]

Answer:

Step-by-step explanation:

Use the slope formula:

$m = \frac{y2 -y1}{x2 - x1}$

where m = slope

(-5, 0) -> means x1 = -5. y1 = 0

(7, 8) -> means x2 = 7 , y2 = 8

Substitute these values into the slope formula above and you get:

$m = \frac{y2 -y1}{x2 - x1} = \frac{8-0}{7- (-5)} = \frac{8}{7+5} = \frac{8}{12} = \frac{2}{3}$

8 0

3 years ago

A sample of n = 10 automobiles was selected, and each was subjected to a 5-mph crash test. Denoting a car with no visible damage

solmaris [256]

Answer:

a) From definition the proportion of successes would be:

$\hat p = \frac{x}{n} = \frac{7}{7+3}= 0.7$

b) Data : 1,1,0,0,1,1,1,0,1,1

x = 7 for this case

$\hat p = \frac{7}{10}=0.7$

The proportion in part (a) is exactly equal to the mean in part (b)

c) We have actually 7 successes and 3 fails and we want this condition:

$\frac{x}{n}=0.6$

The new value of n would be 25 so then we can solve for x and we got:

$x = 25*0.6= 15$

So we need 15 successes and we have 7 so then we need $15-7 = 8$ successes in the new 15 cars in order to satisfy the condition.

Step-by-step explanation:

Data: S S F F S S S F S S

S means success and F damage. We have 7 successes and 3 damages for this case

(a) What is the value of the sample proportion of successes x/n?(

From definition the proportion of successes would be:

$\hat p = \frac{x}{n} = \frac{7}{7+3}= 0.7$

(b) Replace each S with a 1 and each F with a 0. Then calculate x for this numerically coded sample.How does x compare with x/n?

Data : 1,1,0,0,1,1,1,0,1,1

x = 7 for this case

$\hat p = \frac{7}{10}=0.7$

The proportion in part (a) is exactly equal to the mean in part (b)

(c) Suppose it is decided to include 15 more cars in the experiment. How many of these would have to be S's to give x/n = 0.6 for the entire sample of 25 cars?

We have actually 7 successes and 3 fails and we want this condition:

$\frac{x}{n}=0.6$

The new value of n would be 25 so then we can solve for x and we got:

$x = 25*0.6= 15$

So we need 15 successes and we have 7 so then we need $15-7 = 8$ successes in the new 15 cars in order to satisfy the condition.

7 0

4 years ago