2logb - 3logb = log8b - log4b​

Answer:

The 4th graph represents a function

Step-by-step explanation:

trust bro

4th graph is a function

Option D is the correct answer

Answer:

21 cm²

21 square centimeters

Step-by-step explanation:

A = bh

A = 3 × 7

A = 21

Answer:

you swim 20inches and then you walk 50

Step-by-step explanation:

just because

Answer:

profit is 256 dollars

Step-by-step explanation:

20% of 1,280 is 256 dollars

Answer:  T=1700

Step-by-step explanation:

Answer:

4.6

Step-by-step explanation:

yes

Answer:

She must take a sample of 56.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Standard deviation estimate of 1.90

This means that [tex]\sigma = 1.9[/tex]

Wow large a sample must she take if she wants the margin of error to be under 0.5 inch?

This is n for which M = 0.5. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]0.5 = 1.96\frac{1.9}{\sqrt{n}}[/tex]

[tex]0.5\sqrt{n} = 1.96*1.9[/tex]

[tex]\sqrt{n} = \frac{1.96*1.9}{0.5}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96*1.9}{0.5})^2[/tex]

[tex]n = 55.5[/tex]

Rounding up:

She must take a sample of 56.

Answer:48.013

Step-by-step explanation: just found it

Answer:

C 14n - 8

Step-by-step explanation:

rectangle area = length×width = 12n²-19n-21

width = 3n-7

what do we need to multiply with width to get the full area expression ?

think : what do we need to multiply with 3n to get 12n² (4n)?

and what to multiply with -7 to get -21 (3)?

=> length = 4n+3

perimeter is 2×length + 2×width

p = 2(3n-7) + 2(4n+3) = 6n-14+8n+6 = 14n-8

Answer:

5(x+2)

Step-by-step explanation:

5x + 10=

Factor out 5

5(x+2)

Answer:

[tex]5(x + 2)[/tex]

Step-by-step explanation:

Get 5 out

[tex]5x + 10 \\ 5(x + 2)[/tex]

Answer:

24

Step-by-step explanation:

betty age = 41 - 17

= 24

Answer:

160 units²

Step-by-step explanation:

Surface area of the square pyramid = a² + 2al

Where,

a = side length of the square = 8

l = slant height of the triangular face = 6

Plug in the values

Surface area of the square pyramid = 8² + 2*8*6

= 64 + 96

= 160 units²

Answer:

VU,UV, and probably VU just pick 3 answers cause there is 6 questions in all but i hope these answers help u have a nice day too.

Step-by-step explanation:

Answer:

Factorizing 4x2 - 9y2, we get

(2x)2 - (3y)2, by using the identities of a2 - b2.

= (2x + 3y) (2x - 3y)

Step-by-step explanation:

Answer:

0.48

0.52

No

Yes

Step-by-step explanation:

Result of experiment :

Point up = 48

Point down = 52

Total number of trials = 100

Recall :

Experimental probability = number of outcomes / number of trials

1.)

P(Landing point up) = 48 / 100 = 0.48

2.)

P(Landing point down) = 52 / 100 = 0.52

3.)

The same result will not occur has the outcomes of trials aren't fixed.

4.) Yes, nearly the same result could occur on the second trial, as the number of possible outcubes are just 2 and the number if trials is high.

Answer:

-5/2+-1/2√37≤x≤-5/2+1/2√37

Step-by-step explanation:

Step 1: Find the critical points

-x^2-5x+3=0

For this equation: a=-1, b=-5, c=3

−1x^2+−5x+3=0

x=−b±√b2−4ac/2a

x=−(−5)±√(−5)2−4(−1)(3)/2(-1)

x=5±√37 /−2

x=-5/2+1/2√37

Step 2: Check intervals in between critical points

x≤-5/2+1/2 √37 (Doesn't work in original inequality)

-5/2+-1/2√37≤x≤-5/2+1/2√37 (Works in original inequality)

x≥-5/2+1/2 √37 (Doesn't work in original inequality)

=====================================================

Explanation:

We have n = 5 sides. This means the interior angles sum up to...

S = 180(n-2)

S = 180(5-2)

S = 180(3)

S = 540

All five interior angles of this pentagon add up to 540 degrees.

Answer:

-27

Hope this helped in anyway

Answer:

the answer to this is -27.

Answer:

First one

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

90 because it is the mean

Answer: it’s 83%

Step-by-step explanation: you add them up and divide by 3

Answer:

You saved $30

Step-by-step explanation:

20% + 10% = 30%

30% = 0.30

$100 * 0.30 = $30

$100 - $30 = $70

Hope this is helpful

Evaluting the limand directly at x = 0 yields the indeterminate form 0/0, so we have a candidate for L'Hopital's rule. We get

[tex]\displaystyle\lim_{x\to0}\frac{\sqrt{1+x+x^2}-1}{\tan(5x)} = \lim_{x\to0}\frac{\frac{1+2x}{2\sqrt{1+x+x^2}}}{5\sec^2(5x)} = \frac{1+2\times0}{2\sqrt{1+0+0^2}\times5\sec^2(5\times0)} = \boxed{\dfrac{1}{10}}[/tex]

If you don't know about L'Hopital's rule, or are otherwise not allowed to use it, you can instead rely on algebraic manipulation and a well-known limit,

[tex]\displaystyle\lim_{x\to0}\frac{\sin(ax)}{ax}=\lim_{x\to0}\frac{ax}{\sin(ax)}=1[/tex]

where a ≠ 0. We write

[tex]\displaystyle\frac{\sqrt{1+x+x^2}-1}{\tan(5x)} = \frac{5x}{\sin(5x)}\times\frac{\cos(5x)}5\times\frac{\sqrt{1+x+x^2}-1}x[/tex]

The limit of a product is equal to the product of limits:

[tex]\displaystyle\lim_{x\to0}\frac{\sqrt{1+x+x^2}-1}{\tan(5x)} = \left(\lim_{x\to0}\frac{5x}{\sin(5x)}\right)\times\left(\lim_{x\to0}\frac{\cos(5x)}5\right)\times\left(\lim_{x\to0}\frac{\sqrt{1+x+x^2}-1}x\right)[/tex]

The first limit is 1 and the second limit is 1/5. For the remaining limit, multiply through the fraction by the conjugate of the numerator:

[tex]\dfrac{\sqrt{1+x+x^2}-1}x\times\dfrac{\sqrt{1+x+x^2}+1}{\sqrt{1+x+x^2}+1} = \dfrac{\left(\sqrt{1+x+x^2}\right)^2-1^2}{x\left(\sqrt{1+x+x^2}+1\right)} \\\cdots= \dfrac{x+x^2}{x\left(\sqrt{1+x+x^2}+1\right)} \\\cdots= \dfrac{1+x}{\sqrt{1+x+x^2}+1}[/tex]

The remaining limand is continuous at x = 0, and its limit is

[tex]\displaystyle\lim_{x\to0}\frac{1+x}{\sqrt{1+x+x^2}+1}=\frac{1+0}{\sqrt{1+0+0^2}+1}=\frac12[/tex]

and hence the original limit is again 1 × 1/5 × 1/2 = 1/10.

the answer is [tex]x^{2} \sqrt{x} \leq \geq \lim_{n \to \infty} a_n \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \pi x^{2} \sqrt{x} \frac{x}{y} \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \left \{ {{y=2} \atop {x=2}} \right.[/tex]random but marter than einstein

Answer:                                                                    

14 and 1

Explanation:

14 + 14 + 1 + 1 = 30

14 x 1 = 14

The perimeter is the sum of all 4 sides. Divide the perimeter in half fo the some of one length and one width:

Length + width = 15

Area is length x width

Find 2 numbers that when added equal 15 but when multiplied equal 14

15 + 0 = 15, 15 x 0 = 0

14 + 1 = 15, 14 x 1 = 14

The answer is 14 ft long by 1 ft wide

The answer is 2990.8 yd

Formula for SA of cylinder: 2*pi*r*h+2*pi*r^2

Formula for radius: diameter/2

Plug the radius, 17, height, 11, and pi, 3.14, into the formula above.

= 2990.8 yd

Answer:

Step-by-step explanation:

It's 5

Answer:

10

Step-by-step explanation:

( 1 / 20 ) x ( 1 / 8 ) x 1600

= ( 1 / 20 x 8 ) x 1600

= ( 1 / 160 ) x 1600

= 1600 / 160

Answer:10

Step-by-step explanation:

1/20 x 1/8 x 1600 = 10

= 10

Answer:

David had x amount of M&M's. He then ate 15 of them for snack. Now David only has 35 M&M's left. How many M&M's did David have in the beginning?

Step-by-step explanation:

Answer:

X= 20

Step-by-step explanation:

Hannah has 35 marbles. Hannah gives away 15 marbles. How many marbles does Hannah have left? Solve the equation X- 15=35.