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2 years ago

Write 4 1/7 as an improper fraction?

Mathematics

1 answer:

guapka [62]2 years ago

8 0

Answer:

29/7

Step-by-step explanation:

4 1/7 = 4 + 1/7

4 = 28/7

then:

4 1/7 = 28/7 + 1/7 = (28+1) / 7

= 29/7

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Consider the expression. (StartFraction 2 m Superscript negative 1 baseline n Superscript 5 Baseline Over 3 m Superscript 0 Base

suter [353]

Answer:

The correct option is option (3) 4 ÷ 25.

Step-by-step explanation:

The expression in terms of m and n is:

$F(m,n)=[\frac{2m^{-1}n^{5}}{3m^{0}n^{4}}]^{2}$

Exponent rule of division:

$a^{x}\div a^{y}=a^{x-y}$

Compute the value of the expression for m = -5 and n = 3 as follows:

$F(m,n)=[\frac{2m^{-1}n^{5}}{3m^{0}n^{4}}]^{2}$

$F(-5,3)=[\frac{2\csdot (-5)^{-1}\cdot (3)^{5}}{3\cdot (-5)^{0}\cdot (3)^{4}}]^{2}$

$=\{\frac{2}{3}\times [(-5)^{-1-0}\times (3)^{5-4}}]\}^{2}\\\\=\{\frac{2}{3}\times \frac{-1}{5}\times 3\}^{2}\\\\=\{-\frac{2}{5}\}^{2}\\\\=\frac{4}{25}$

Thus, the correct option is option (3) 4 ÷ 25.

8 0

3 years ago

Read 2 more answers

For the equation ae^ct=d, solve for the variable t in terms of a,c, and d. Express your answer in terms of the natural logarithm

saveliy_v [14]

We have been given an equation $ae^{ct}=d$ . We are asked to solve the equation for t.

First of all, we will divide both sides of equation by a.

$\frac{ae^{ct}}{a}=\frac{d}{a}$

$e^{ct}=\frac{d}{a}$

Now we will take natural log on both sides.

$\text{ln}(e^{ct})=\text{ln}(\frac{d}{a})$

Using natural log property $\text{ln}(a^b)=b\cdot \text{ln}(a)$ , we will get:

$ct\cdot \text{ln}(e)=\text{ln}(\frac{d}{a})$

We know that $\text{ln}(e)=1$ , so we will get:

$ct\cdot 1=\text{ln}(\frac{d}{a})$

$ct=\text{ln}(\frac{d}{a})$

Now we will divide both sides by c as:

$\frac{ct}{c}=\frac{\text{ln}(\frac{d}{a})}{c}$

$t=\frac{\text{ln}(\frac{d}{a})}{c}$

Therefore, our solution would be $t=\frac{\text{ln}(\frac{d}{a})}{c}$ .

5 0

3 years ago

A cube with a cylindrical hole cut out of the middle is shown. The edge length of the cube is 36 feet, and the circle on the fro

Vaselesa [24]

46204 ft³

<h3> Explanation:</h3>

Volume of cube: length³ ⇒ 36³ ⇒ 46656 ft³

Volume of cylinder: πr²h ⇒ π(2)²(36) ⇒ 144π ⇒ 452.39 ft³

Volume of the figure: 46656 - 452.15 = 46203.61 ft³ ≈ 46204 ft³

4 0

2 years ago

Read 2 more answers

Why is the percent increase of 45 to 75 not equal to the percentage crease of 75 to 45 check all that apply.

nevsk [136]

Answer: B and F

Step-by-step explanation:

Since, In the first case original amount = 45

So, the increasing percentage when the original amount increases to 75,

= $\frac{75-45}{45} \times 100 = \frac{30}{45} \times 100= \frac{200}{3}$ %

In second case original amount = 75

So the decreasing percentage when the original amount decreases to 45,

= $\frac{75-45}{75} \times 100 = \frac{30}{75} \times 100= \frac{40}{1}$ %

Thus, We found that the ratio of the percent increase is not the same as the percent decrease ( because, $\frac{200}{3}\neq \frac{40}{1}$

Also, The original amount of the present increase is different from the original amount for the persons decrease. ( Because, $75\neq 45$

Therefore, Option B and F is correct only.

5 0

3 years ago

Read 2 more answers

What is the formula for the circumference of a circle using the radius?

marta [7]

We know that:
C=πd Were π(pi)=3,14... and d=diameter
We know that the radious is 2d, so we aply this to the formula and we get that:
C=2πr

4 0

3 years ago