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1 year ago

70 points and brainliest if the answer is correct

Mathematics

2 answers:

zimovet [89]1 year ago

3 0

Answer:

Option D

Step-by-step explanation:

If the bases are the same in a multiplication problem, then you can simply add the exponents. (i.e., a² × a⁶ = a²⁺⁶ = a⁸)

$\bullet \rightarrow 5^4\times5^7$

$\bullet\rightarrow 5^{4 + 7}$

$\bullet \rightarrow \boxed{5^{11}}$

RUDIKE [14]1 year ago

3 0

Answer: D

Step-by-step explanation:

5^4 x 5^7

You will add the exponent 4 + 7 = 11

You will keep your base 5^11

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Please help! provide thorough explanation and use elimination method!!

ICE Princess25 [194]

Multiply both sides of the second equation by 100 to get rid of the decimals:

0.05n + 0.10d = 1.50

==> 5n + 10d = 150

Multiply both sides of the first equation by -5:

n + d = 21

==> -5n - 5d = -105

Add the two equations together:

(5n + 10d) + (-5n - 5d) = 150 + (-105)

Notice that the terms containing n get eliminated and we can solve for d :

(5n - 5n) + (10d - 5d) = 150 - 105

5d = 45

d = 45/5 = 9

Plug this into either original equation to solve for n. Doing this with the first equation is easiest:

n + 9 = 21

n = 21 - 9 = 12

So Donna used 12 nickels and 9 dimes.

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2 years ago

The weights of NCAA lacrosse players are approximately normally distributed with a mean of 182 lbs and a standard deviation of 1

Marizza181 [45]

Answer:

What can I do for you

Step-by-step explanation:

4 0

1 year ago

Rebecca but one goldfish for $32 and one starfish for $12 . She spends the rest of her money on guppy fish. She starts with $80.

Romashka-Z-Leto [24]

She can buy 5more guppies because she spent $50 in total because 32+12+6= 50 dollars.So she has $30 dollars left $6 per guppy × 5 guppies = $30 so she can buy 5 more

3 0

2 years ago

A student receives test scores of 62, 83, and 91. This student's term project score is 88. Each test is worth 20% of the final g

miskamm [114]

Answer:

The student's current average score will be 69.2

Step-by-step explanation:

Let first test be TEST A: which is 20 of total and secures 62

Let second test be TEST B: which is 20 of the total marks and has secured 83.

Let third test be TEST C: which is 20 of total and has secured 91.

And now the TEST D which is 25 of total and has secured 88.

Therefore, by multipying across

${0.2}\times{62}$ = 12.4

${0.2}\times{83}$ = 16.6

${0.2}\times{91}$ = 18.2

${0.25}\times{88}$ =22

Now, by adding the scores to get the average score

We get, 69.2.

6 0

2 years ago

A boat sails on a bearing of 77 degrees for 135 miles and then turns and sails 207 miles on a bearing of 192 degrees. Find the d

Andrew [12]

Answer:

193.53 miles

Step-by-step explanation:

Please see the diagram for understanding of how the angles were derived,

Applying Alternate Angles, ABO =77 degrees

The bearing from B to C is 192=180+12 degrees

Subtracting 12 from 77, we obtain the angle at B as 65 degrees.

We want to determine the boat's distance from its starting point.

In the diagram, this is the line AC.

Applying Law of Cosines:

$b^2=a^2+c^2-2acCosB\\b^2=207^2+135^2-2(207)(135)Cos65^\circ\\b^2=37453.8654\\b=\sqrt{37453.8654} \\b=193.53\: miles$

The distance of the boat from its starting point is 193.53 miles (correct to 2 decimal places).

6 0

2 years ago