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rodikova [14]
3 years ago
13

Please review the image for the question

Mathematics
1 answer:
Flura [38]3 years ago
6 0

Answer: y=1/3x^2-8/3x+10/3

Step-by-step explanation:

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If Logan(3)=5, what is the value of a^5?​
Archy [21]

Answer:

  a^5=3

Step-by-step explanation:

When it comes to exponential expressions and logarithms, the following relationship applies:

  \log_b{(x)}=a\ \leftrightarrow\ b^a=x

Here, it means ...

  \boxed{a^5=3}

8 0
3 years ago
Read 2 more answers
7.RP.A.1 3. If 1 1/2 cups of something fills 2/3 of a container, how many cups fill the container? ​
Andreas93 [3]

Answer:

Hi there!

Your answer is:

2 & 1/4 <u>OR</u> 2.25 cups fills the container!

Step-by-step explanation:

If 1 & 1/2 (aka 3/2) fills 2/3 of the container, then:

we know that <em>half</em> of 3/2s fills 1/3 of the container

To find half of 3/2, we multiply 3/2 by the <em><u>inverse</u></em> of 2, which is 1/2.

3/2÷2

3/2×1/2 = 3/4 ths

Now that we know 3/4ths fills 1/3 of the container, we add that to 1& 1/2.

3/4+ 1&1/2 = 2 & 1/4

Check your work!

3/4 × 3 should equal 2&1/4 if we are correct

3/4 × 3/1 = 9/4.

Simplify!

9/4 = 2&1/4

That tells us that <u>we</u><u> </u><u>are</u><u> </u><u>correct</u><u>!</u>

Hope this helps!

3 0
2 years ago
Find the distance between the two points in simplest radical form.<br> (-5,8) and (-3, 1)
elixir [45]

Given:

The two points are (-5,8) and (-3,1).

To find:

The distance between the given two points in simplest radical form.

Solution:

Distance formula: The distance between two points is

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Using distance formula, the distance between (-5,8) and (-3,1) is

d=\sqrt{(-3-(-5))^2+(1-8)^2}

d=\sqrt{(-3+5)^2+(-7)^2}

d=\sqrt{(2)^2+(-7)^2}

d=\sqrt{4+49}

d=\sqrt{53}

Therefore, the distance between two points (-5,8) and (-3,1) is \sqrt{53} units.

3 0
2 years ago
<img src="https://tex.z-dn.net/?f=%28x%20-%207%29%28x%20-%205%29" id="TexFormula1" title="(x - 7)(x - 5)" alt="(x - 7)(x - 5)" a
Rufina [12.5K]

\huge\textsf{Hey there!}

\large\textsf{(x - 7) (x - 5)}

\large\text{DISTRIBUTE each of the numbers}

\large\textsf{x(x) + (-5)x + (-7(x) + (-7)(-5)}

\large\textsf{x(x) =  \bf x}\bf ^2

\large\textsf{x(-5) = \bf -5x}

\large\textsf{-7(x) = \bf -7x}

\large\textsf{(-7)(-5) = \bf 35}

\mathsf{x^2 - 5x -7x + 35}

\large\text{COMBINE the LIKE TERMS}

\mathsf{x^2 -(5x - 7x) + 35}

\mathsf{-5x -7x = \bf -12x}

\mathsf{x^2 - 12x + 35}

\boxed{\huge\text{Answer: \bf x}^2 \huge\text{\bf - 12x + 35}}\huge\checkmark

\large\text{Good luck on  your assignment and enjoy your day!}

~\frak{Amphitirite1040:)}

3 0
3 years ago
Read 2 more answers
Listed below are the salaries, in $000, for a sample of 15 chief financial officers in the electronics industry.
Tcecarenko [31]

Answer:

a)

Mean = sum of all numbers in dataset / total number in dataset

Mean = 8130/15 = 542

Median:

The median is also the number that is halfway into the set.

For median, we need to sort the data and then find the middle number which in our case is 546. Below is the sorted data

486  516 523  523  529  534  538  546  548  551  552  558  566  574  586

Standard Deviation (SD).  Here X represents dataset and N= count of numbers in data

As per the SD formula, which is Sqrt ( sum (X_i - Meanx(X))/(N-1))

SD= 25.082

2) Formula for coefficient of skewness using Pearson's method (using median) is,

SK = 3* ( Mean (X) - Median(X))/(Standard Deviation) =  3*(542-546)/25.082 = -0.325

3) coefficient of skewness using the software method is also same which is -0.325

4 0
3 years ago
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