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3 years ago

SOMEONE HELP??????!!!!!!!

Mathematics

2 answers:

Sever21 [200]3 years ago

4 0

A is Equivalent to 300, and B is equivalent to 50.24 .

yKpoI14uk [10]3 years ago

3 0

Answer: a = 300, b = b = 50.24

Step-by-step explanation:

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Solve the following exponential equations.<br> 10^(3x−5) = 7^x

zalisa [80]

Answer:

x = 2.3202

Step-by-step explanation:

Given equation:

$10^{(3x-5)} = 7^x$

on taking log both sides, we get

$\log(10^{(3x-5))} =\log(7^x)$

now,

using the property of log function

log(aᵇ) = b × log(a)

therefore,

we get

(3x-5)log(10) = xlog(7)

now,

log(10) = 1

and

log(7) = 0.84509

thus,

( 3x - 5 ) × 1 = 0.84509x

3x - 0.84509x - 5 = 0

2.15491x = 5

x = 2.3202

4 0

3 years ago

Adam buys a box of stuff that weighed 6 3/8. if he buys box of fruit that weighed 7 2/5. what is the combined weight.

jolli1 [7]

Answer:

The combined weight is 13 31/40.

Step-by-step explanation:

Given:

Adam buys a box of stuff that weighed 6 3/8. if he buys box of fruit that weighed 7 2/5.

Now, to find the combined weight.

So, we change the mixed fraction to improper first:

Weight of box of stuff = $6\frac{3}{8}=\frac{51}{8}$ .

Weight of box of fruit = $7\frac{2}{5}=\frac{37}{5}$ .

Then, by adding to get the combined weight:

$\frac{51}{8}+\frac{37}{5}$

$=\frac{51\times 5+37\times 8}{40}$

$=\frac{255+296}{40}$

$=\frac{551}{40}$

$=13\frac{31}{40}$

Therefore, the combined weight is 13 31/40.

4 0

3 years ago

A cylinder has a radius of 2.8 inches and a height of 2.4 inches. Which cylinder is similar?

Eddi Din [679]

If two figures are similar, the ratio of their corresponding sides are equal

Let us take the ratio of the radius to the height of the given cylinder. This gives us,

$\frac{radius}{height}=\frac{2.8}{2.4}$

In the simplest form, we have,

$\frac{radius}{height}=\frac{7}{6}$

Let us now find out which of the cylinders in the option has the same ratio,

For option A,

$\frac{radius}{height}=\frac{1.8}{1.4}$

In the simplest form, we have,

$\frac{radius}{height}=\frac{9}{7}$

For option B,

$\frac{radius}{height}=\frac{1.4}{1.2}$

In the simplest form, we have,

$\frac{radius}{height}=\frac{7}{6}$

For option C,

$\frac{radius}{height}=\frac{5.6}{4.2}$

In the simplest form, we have,

$\frac{radius}{height}=\frac{4}{3}$

For option D,

$\frac{radius}{height}=\frac{2.4}{2.8}$

In the simplest form, we have,

$\frac{radius}{height}=\frac{6}{7}$

<h2>Hence the correct answer is B</h2>

4 0

4 years ago

Read 2 more answers

On 34 acres of land there are a total of 8,942 trees if the trees are spread out evenly how much trees are each Acer of land?

Maksim231197 [3]

Equation : 8,942 trees divided by 34 acres of land

Solve: 8942/34 = 263

Answer : there will be 263 tress across each acre of land .

4 0

3 years ago

Why is the answer c? Please help, my teacher doesn’t understand vectors.

kherson [118]

A vector is basically an arrow that tells you where to go. Specifically it tells you a direction and how far. The direction component is the angle. The "how far" component is the magnitude or modulus or length of the vector.

For choice C in the upper right hand corner, we see that the vector 'a' starts off on the right side and points directly to the left. It's a horizontal vector. The arrow is at the left side. After going from tail to tip along vector 'a', we repeat the same motions for vector b. Think of it as following directions on a map. To take a shortcut, we follow the resultant vector r. This takes us from the tail of vector 'a' to the tip of vector b without any obstacles or deviations. So this is why choice C is the answer.

Note: if you use the parallelogram law for choice A, then the resultant vector will be the same as shown in choice C. This is of course assuming that each vector 'a' is the same length and direction between the two answer choices. The same assumption is for the b vector as well. Choice D is close to what choice C is saying, but the arrow for r is pointed the wrong way. The arrow head must be pointed at the tip of vector b which is the final destination we want.

6 0

3 years ago