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2 years ago

Which statement Is always true?

Mathematics

1 answer:

steposvetlana [31]2 years ago

5 0

Answer:

D) The product of two rational numbers is rational.

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Write each fraction or mixed number as a decimal 14 3/5

Andreyy89

14 3/5 as a decimal would be 14.6

4 0

3 years ago

Read 2 more answers

Can you help me please.

Kamila [148]

9514 1404 393

Answer:

a. (-1/2, 5)

Step-by-step explanation:

The coefficients of x have opposite signs, so the x-terms can be eliminated by adding the two equations.

(2y -12x) +(3y +12x) = (16) +(9)

5y = 25 . . . . . . simplify

y = 5 . . . . . . . . .divide by 5

This matches only answer choice A.

<em>Check</em>

The other part of answer choice A is x = -1/2. We can test this to make sure it works:

2(5) -12(-1/2) = 16

10 + 6 = 16 . . . . . . true, the selected answer works OK

5 0

2 years ago

Help please with this math ;-; I beg of you

RSB [31]

Answer:

49 - 9π

Step-by-step explanation:

Area of white portion = area of triangle - area of circle

To find the area of the triangle:

The area of a triangle can be calculated using this formula

$A=\frac{bh}{2}$ where b = base length and h = height

The height given is 7m and the base length given is 14m

That being said we plug in the given values into the formula

$\frac{14*7}{2} \\14*7=98\\\frac{98}{2} =49$

Hence, the area of the triangle is 49 sq meters.

To find the area of circle

( note that the area is in terms of pi; shown by the answer choices. )

Formula for area of a circle = $A=\pi r^2$

We are given the diameter ( 6m )

However, we need the radius

To convert diameter to radius we divide by 2

6/2 = 3 so the radius = 3m

Now we plug in 3 into the formula

$A=\pi 3^2\\3^2=9\\A=9\pi$

Remember we do not apply pi because the answer should be in terms of pi.

Now we subtract the two

Area of white portion = 49 - 9π

Hence, the answer is A

7 0

3 years ago

Read 2 more answers

An engineer is designing a new smartphone. The company wants to keep of the weight finished product below 12 ounces. After finis

Art [367]

9514 1404 393

Answer:

yes

Step-by-step explanation:

10 1/2 + 8×(1/6) = (10 3/6) + (1 2/6) = 11 5/6 < 12

The weight with the added screws is still below 12 ounces.

3 0

2 years ago

Read 2 more answers

The heights of dogs, in inches, in a city are normally distributed with a population standard deviation of 3 inches and an unkno

Nitella [24]

Answer: 1.2703

Step-by-step explanation:

Given : Sample size : n= 17, which is a small sample (n<30), so we use t-test.

Significance level : $\alpha:1-0.90=0.1$

Then , Critical value : $t_{n-1,\alpha/2}=t_{16, 0.05}\pm1.745884$

Standard deviation: $s=3\text{ inches}$

The formula to find the margin of error : -

$E=t_{n-1,\alpha/2}\dfrac{s}{\sqrt{n}}\\\\\Rightarrow\ E=(1.745884)\dfrac{3}{\sqrt{17}}\\\\\Rightarrow\ E=01.27031720154\approx1.2703$

Hence, the error bound (EBM) of the confidence interval with a 90% confidence level.=1.2703

6 0

3 years ago