if f(x) =g(x) + 10 and g(x) = 3(x) - 18

Answer:

17

Step-by-step explanation:

9514 1404 393

Answer:

  24.3 ft

Step-by-step explanation:

If h is the height of the ladder up the tree, the geometry can be modeled as a right triangle with legs h and 6, and hypotenuse 25. The Pythagorean theorem gives you the relation ...

  h² +6² = 25²

  h² = 625 -36 = 589

  h = √589 ≈ 24.3

The ladder reaches about 24.3 feet up the tree.

Answer:

See Below.

Step-by-step explanation:

We want to use the Squeeze Theorem to show that:

[tex]\displaystyle \lim_{x \to 0}\left(x^2\sin\left(\frac{2}{x}\right)\right)=0[/tex]

Recall that according to the Squeeze Theorem, if:

[tex]\displaystyle g(x)\leq f(x) \leq h(x)[/tex]

And:

[tex]\displaystyle \lim_{x\to c}g(x) =\lim_{x\to c}h(x) = L[/tex]

Then:

[tex]\displaystyle \lim_{x\to c}f(x)=L[/tex]

Recall that the value of sine is always ≥ -1 and ≤ 1. Hence:

[tex]\displaystyle -1 \leq \sin\left(\frac{2}{x}\right) \leq 1[/tex]

We can multiply both sides by x². Since this value is always positive, we do not need to change the signs. Hence:

[tex]\displaystyle -x^2\leq x^2\sin\left(\frac{2}{x}\right)\leq x^2[/tex]

Let g = -x², h = x², and f = x²sin(2 / x). We can see that:

[tex]\displaystyle \lim_{x \to 0}g(x) = \lim_{ x \to 0}h(x) = 0[/tex]

And since g(x) ≤ f(x) ≤ h(x), we can conclude using the Squeeze Theorem that:

[tex]\displaystyle \lim_{x \to 0}f(x) = \lim_{x \to 0}x^2\sin\left(\frac{2}{x}\right)=0[/tex]

Answer:

Step-by-step explanation:

circumference=2πr

=2*3.14*2

=12.56 km

Answer:

PT = 12 units

Step-by-step explanation:

Given that,

PT=3x+3 and TQ=6x-6

T is the midpoint of PQ.

If T is mindpoint of PQ, it means,

PT = TQ

Substitute all the values,

3x+3 = 6x-6

Taking like terms together,

3x-6x = -6-3

-3x = -9

x = 3

So,

PT = 3x+3

= 3(3) + 3

= 9+3

= 12

So, the value of PT is equal to 12 units.

Answer:

b. on edge

Step-by-step explanation: just did the quiz and got it right

Answer: French (1789)

Step-by-step explanation:

Answer:

GraphB

Step-by-step explanation:

To obtain the best line of fit, we need the line which minimizes the sum of the squared distances, Therefore, from visual inspection, we can conclude that the best line of fit will be one in which the distance between each individual distance and the line of best fit is minimized, for the first graph, only the upper points are close to the regression line leaving the lower values further away, however, the secubd graph gives a more uniform distance between all the data values and the regression line. Hence, it does a better job at capturing the trend in the data.

Answer:

1.3636363636...

can be expressed as

1 + 4/11

I tried out different fractions

1/11 is just 0.09090909...

4/11 is 4 times thar

1 = 11/11

so it's just 15/11

5.152

can be written as

[tex] \frac{5.152}{1} [/tex]

or as

[tex] \frac{5152}{1000} [/tex]

simplified with 8

[tex] \frac{644}{125} [/tex]

Answer:

x-10

Step-by-step explanation:

ten is less than x

follow me for more answer

Answer:

gimme a second, I'll comment

Answer:

the initial value is 1, rate of change 3/5

Step-by-step explanation:

rate of change is the slope, which is not zero and is def not 5/3

it started at 1, so thats the initial value

Answer:

a. Z = -1.175.

b. Z = 1.34.

c. |Z| = 2.054.

d. |Z| = 1.28.

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

a. The critical z-score for a left-tailed test at a 12% significance level

Left-tailed test: The region of interest is the 12th percentile or below.

Thus, the critical z-score is Z with a p-value of 0.12, so Z = -1.175.

b. The critical z-score for a right-tailed test at a 9% significance level

Right-tailed test: The region of interest is the 100 - 9 = 91th percentile and above.

Thus, the critical z-score is Z with a p-value of 0.91, so Z = 1.34.

c. The critical z-score for a two-sided test at a 4% significance level is 1.75.

Two-tailed test: The region of interest is between the 4/2 = 2th percentile and the 100 - (4/2) = 98th percentile.

Thus, the critical z-score is |Z| with a p-value of 0.02 or 0.98, so |Z| = 2.054.

d. The critical z-score for a two-sided test at a 20% significance level is 0.85.

Region of interest is between the 20/2 = 10th percentile and the 100 - (20/2) = 90th percentile.

Thus, the critical z-score is |Z| with a p-value of 0.1 or 0.9, so |Z| = 1.28.

Answer:

Circumference = 2 pi r = 2*3.14 *r = 20

radius r = 20 / 2*314 =  3.185

Area = pi r^2 = 3.14 * 3.185^2 = 32  m^2 to nearest whole number

Answer:

I am pretty sure its 30 students

9514 1404 393

Answer:

  see beow

Step-by-step explanation:

When x=0, y=-5. The y-intercept is (0, -5).

When y=0, x-5=0, so x=5. The x-intercept is (5, 0).

Plot these two points and draw the line through them.

Answer:

3/10 quarts.

Step-by-step explanation:

Set the denominators equal to one another.

4/5 = 8/10 (multiplied by a factor of 2)

1/2 = 5/10 (multiplied by a factor of 5)

Subtract the 5/10 from the 8/10

3/10 qt

Answer:

$6,237 down payment

Step-by-step explanation:

calculated [tex]18,900[/tex]×[tex]6.6%[/tex]%×[tex]5 = $6,237[/tex]

Answer:

b

Step-by-step explanation:

Answer:

took the test, it is B like the other person said!!

Answer:

wait ill work this out for you

Step-by-step explanation:

Answer:

x = -24

Step-by-step explanation:

(2/3)(x/2 + 12) = (1/2)(x/3 + 14) - 3

2x/6 + 24/3 = x/6 + 14/2 - 3

2x/6 + 8 = x/6 + 7 - 3 = x/6 + 4

x/6 + 8 = 4

x/6 = -4

x = -24

Answer:

triangle piece of glass that different colors of light travel through

Answer:

All of the following solid figures except a square pyramid have two bases.

Answer:

3486784401/7  

Step-by-step explanation:

Answer:

Yup! There are 6 possible 0s, 4 actual 0s, and the factored form is -2x^5-6

Step-by-step explanation:

Given:

Total number of cubes = 40

Red cubes = 18

Blue cubes = 13

Yellow cubes = 9

Aysha adds some more red cubes into the bag.

The probability now that she will take a red cube is 0.5.

To find:

The probability that she will take a yellow cube.

Solution:

Let Aysha adds x red cubes into the bag. Then,

Number of total cubes = 40+x

Number of red cubes = 18+x

Probability of getting a red cube is:

[tex]P(Red)=\dfrac{18+x}{40+x}[/tex]

The probability now that she will take a red cube is 0.5. So,

[tex]\dfrac{18+x}{40+x}=0.5[/tex]

[tex]18+x=0.5(40+x)[/tex]

[tex]18+x=20+0.5x[/tex]

[tex]x-0.5x=20-18[/tex]

[tex]0.5x=2[/tex]

Divide both sides by 0.5.

[tex]x=\dfrac{2}{0.5}[/tex]

[tex]x=4[/tex]

It means Aysha adds 4 more red cubes into the bag.

Now, the total number of cubes int he bag is:

[tex]40+4=44[/tex]

Probability of getting a yellow cube is:

[tex]P(Yellow)=\dfrac{\text{Number of yellow cubes}}{\text{Total number of cubes}}[/tex]

[tex]P(Yellow)=\dfrac{9}{44}[/tex]

Therefore, the required probability is [tex]P(Yellow)=\dfrac{9}{44}[/tex].