Please help \^.^/
What is the solution to the inequality below?
x² =< 49

Answer:

820

Step-by-step explanation:

Find the number in the ten place 2 and look one place to the right for the rounding digit 3. Round up if this number is greater than or equal to

5 and round down if it is less than 5.

9514 1404 393

Answer:

  A)  3y = x + 16

Step-by-step explanation:

The equation of a perpendicular line can be found by swapping the x- and y-coefficients and negating one of them. The constant will be chosen to match the given point.

Swapping coefficients, we get ...

  -3y = x + c

Negating the y-coefficient gives ...

  3y = x + c

Filling in the given point, we have ...

  3(5) = -1 + c

  16 = c

The equation of the perpendicular line can be written as ...

  3y = x + 16 . . . . matches choice A

_____

Note that choice A is the only equation that gives a line with positive slope. The given equation has negative slope, so its perpendicular must have positive slope.

Answer:

Step-by-step explanation:

Upon your arrival on Monday morning you observer a snail making its way up the wall of your cabin. Each day it carefully works it way 30 inches up the wall. At night it slips back down 12 inches. The cabin wall is 9 feet high

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. If the snail started on Monday it will not reach the top of the cabin wall before you leave on Friday.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Given that each day the snail carefully works its way 30 inches up the wall, while at night it slips back down 12 inches. Therefore, the net distance that snail covers is 18 inches.

The distance covered by the snail in 4 days from Monday to Friday morning is,

Distance = 4 days × 18 inches = 72 inches

Distance covered on Friday = 30 inches

Total distance covered = 72 inches + 30 inches = 102 inches

The total distance covered before you leave on Friday is 102 inches.

Further, the height of the wall is 9 feet, therefore, the snail needs to cover a distance of 108 inches (1 foot = 12 inches). Also, since the distance covered by a snail in 5 days is 90 inches, the total distance is 108 inches.

Hence, If the snail started on Monday it will not reach the top of the cabin wall before you leave on Friday.

Learn more about Multiplication here:

https://brainly.com/question/14059007

#SPJ2

Answer:

201 in²

Step-by-step explanation:

area = πr² = (3.14)(8²) = 200.96 in²

Step-by-step explanation:

Your answer is 4. Hope you like my answer.

Answer:

x+2 / x+5 = 2/3

2x + 10 = 3x + 6

•°• x =4

correct option → E

Hope it helped :)

Answer: I think it's 24

Step-by-step explanation:

Answer:

The table represents a linear function.

Step-by-step explanation:

Graphed, the points go in a straight line, and you are able to draw a line through it. The equation for the line is y = 4x + 4.

Answer:

25 in²

Step-by-step explanation:

A = [tex]\frac{1}{2}[/tex]hb = [tex]\frac{1}{2}[/tex] × 5 × 10 = 25 in²

Answer:

25 units²

Step-by-step explanation:

Formula for calculating the area of a triangle:

A = hb/2

A = 5(10)/2

A = 50/2

A = 25

Answer:

Measure of the major arc OQN = 292°

Step-by-step explanation:

Measure of the major arc OQN = 360° - m(arc ON)

By the definition of central angle subtended at the center by the arc,

Measure of arc ON = Central angle subtended by the arc

                                = 38°

Now measure of the major arc OQN = 360° - 38°

                                                            = 292°

Answer:

10$

Step-by-step explanation:

Answer:

The area of the lawn that is covered by the water from the  sprinkler is

[tex]125.6[/tex] square meter

Step-by-step explanation:

Given

The radius of the circle is 12 m

Area of the circle is [tex]\pi r^2 = \pi * 12^2 = 144\pi[/tex]

For one complete circle,  the degree of rotation is 360 degrees.

Area of lawn covered by rotation of 100 degrees only is 100/360 = 5/18

The area of the lawn that is covered by the water from the  sprinkler is

[tex]\frac{5}{18} * 3.14*144 = 125.6[/tex] square meter

Answer:

The value of X is 4, and the area of the triangle is [tex]60^2 units[/tex].

Step-by-step explanation:

First we need to add up all the sides. Doing so will give us the equation [tex]8x+8=40[/tex]. Subtracting 8 from both sides will give us [tex]8x=32[/tex]. Next we divide both sides by 8 in order to isolate the variable, which gives us [tex]x=4.[/tex]

This gives us 4 as our value of x.

Now we need to find the area. Substituting x into the values for base and height will give us 8+7 = 15 for our height, and 4+4=8 for our base. 15*8 is 120, and divided by two gives us 60 as out area.

Thus, x=4 and area=60.

Good day from NightyKnight.

Answer:

[tex]PC = 0.333[/tex]

Step-by-step explanation:

Given

[tex]AB = 5[/tex]

[tex]AP = 4[/tex]

[tex]DP =12\\[/tex]

See attachment

Required

Find PC

When two chords intersect, the product of the segments are always equal.

In chord DC, the segments are DP and PC

In chord AB, the segments are AP and PB

So:

[tex]DP * PC = AP * PB[/tex]

This gives:

[tex]12 * PC = 4 * PB[/tex] --- (1)

In chord AB, we have:

[tex]AB = AP + PB[/tex]

Make PB the subject

[tex]PB = AB - AP[/tex]

This becomes

[tex]PB = 5 - 4[/tex]

[tex]PB = 1[/tex]

[tex]12 * PC = 4 * PB[/tex] --- (1) becomes

[tex]12 * PC = 4 * 1[/tex]

[tex]12 * PC = 4[/tex]

Make PC the subject

[tex]PC = \frac{4}{12}[/tex]

[tex]PC = 0.333[/tex]

Here's the solution,

By using Trigonometry :

=》

[tex] \sin(30) = \dfrac{7}{x} [/tex]

=》

[tex] \dfrac{1}{2} = \dfrac{7}{x} [/tex]

=》

[tex]x = 14[/tex]

hence, the value of x = 14 units

Answer:

14

Step-by-step explanation:

Answer:

0.637 m or 63.7 cm

Step-by-step explanation:

Formula

d = n *  pi di

Givens

di = diameter and is unknown

n = 29 times

d = 58 meters

Solution

58 = 29 * 3.14 * di

2 = 3.14 * di

2/3.14 = di

d = 0.637 meters

or

d = 63.7 cm

Answer:

That's hard wish you the best tho.

Step-by-step explanation:

Answer:

27) x = 2^(y) – 5.

Asymptote: x = -5.

D: x > -5; (-5, infinity).

R: -infinity < f(x) < infinity; ARN;

(-infinity, infinity).

x → -infinity, f(x) → -infinity.

x → +infinity, f(x) → +infinity.

________________________

28) x = 2^-(y–3).

Asymptote: x = 0.

D: x > 0; (0, infinity).

R: -infinity < f(x) < infinity; ARN;

(-infinity, infinity).

x → -infinity, f(x) → +infinity.

x → +infinity, f(x) → -infinity.

________________________

29) x = 4^(y–2) + 1.

Asymptote: x = 1.

D: x > 1; (1, infinity).

R: -infinity < f(x) < infinity; ARN;

(-infinity, infinity).

x → -infinity, f(x) → -infinity.

x → +infinity, f(x) → +infinity.

________________________

Answer:

150°

Step-by-step explanation:

We know each angle in a equilateral triangle is 60° and that of a rectangle is 90° . So ,

[tex]\implies \angle ABC = \angle DBC + \angle ABD \\\\\implies \angle ABC = 90^o + 60^o \\\\\implies \boxed{\boxed{ \angle ABC = 150^o }}[/tex]

Answer:

A (3, 4)  B (4, 2)  C (0.5, 0.25)  D (1, 2.5)  E (1.75, 4.25)

Step-by-step explanation:

The coordinate points of a point are (x, y) where x is the number on the x-axis and y is the number on the y-axis.

By looking at points A and B they're easy to tell.

For points C, D, and E they're in between whole numbers so by converting the number given which is a fraction you can get 0.25 from 1/4 which is half of 1/2, 0.5 from 1/2, 0.75 from 3/4 which is half of 1/2 plus 1/2, 1.25 from 1 1/4, etc....

Answer:

The pvalue of the test is 0.177 > 0.02, which means that at α=0.02, you cannot reject the company's claim.

Step-by-step explanation:

A company that makes cola drinks states that the mean caffeine content per​ 12-ounce bottle of cola is 35 milligrams. You want to test this claim.

At the null hypothesis, you test that the mean caffeine content is of 35 milligrams, that is:

[tex]H_o: \mu = 35[/tex]

And at the alternate hypothesis, you test if the content is different from 35, so:

[tex]H_a: \mu \neq 35[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

35 is tested at the null hypothesis:

This means that [tex]\mu = 35[/tex]

During your​ tests, you find that a random sample of thirty​ 12-ounce bottles of cola has a mean caffeine content of 36.8 milligrams. Assume the population is normally distributed and the population standard deviation is 7.3 milligrams.

This means that [tex]n = 30, X = 36.8, \sigma = 7.3[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{36.8 - 35}{\frac{7.3}{\sqrt{30}}}[/tex]

[tex]z = 1.35[/tex]

Pvalue of the test and decision:

The pvalue of the test is the probability of the mean caffeine content differing from the mean by at least 36.8 - 35 = 1.8, which is P(|z| > 1.35), which is 2 multiplied by the pvalue of z = -1.35.

Looking at the z = -1.35 has a pvalue of 0.0885

2*0.0885 = 0.177

The pvalue of the test is 0.177 > 0.02, which means that at α=0.02, you cannot reject the company's claim.

Answer:

4.189 cubic inches

Answer:

4.19 in³

Step-by-step explanation:

The formula of volume of sphere

[tex] = \frac{4}{3} \pi {r}^{3} [/tex]

The volume of the sphere

[tex] = \frac{4}{3} \times 3.14 \times {1}^{3} [/tex]

[tex] = \frac{12.56}{3} [/tex]

[tex] = 4.186666667...[/tex]

= 4.19 in³ (rounded to the nearest hundredth)

Answer:

Step-by-step explanation:

3x = 12

x=4

x+y =5y

4+y = 5y

4 = 4y

1=y

Answer:

x-5 = y

72 -5 = 67

y=67

x = 72

Step-by-step explanation:

In a parallelogram, the diagonals bisect each other.

That being the case,

6x = 72

x = 12 In a parallelogram, the diagonals bisect each other.

That being the case,

6x = 72

x = 12 and the diagonals measure

144 and 134

i hope this helps!! ^_^

Answer:

2 hours

Step-by-step explanation:

Sandy is 4 times faster than her brother.1/2 hour x 4 =2hours

Answer:

C. Heat always flow from warmer to cooler substances.

Answer:

A. H0:μ≥29;HA:μ<29

Pvalue < 0.01

D. Reject H0; the hourly wage is less than $29

Step-by-step explanation:

The null hypothesis will negate the claim which will be the hypothesis to be tested. Therefore, since the claim is to test if hourly wage is less Than 29 ; then the null will be that hourly wage is equal to or greater than 29

H0:μ≥29;HA:μ<29

The Pvalue measure the probability that the extremity of our finding against a certain α level. The Pvalue obtained using the Excel function should be 0.00058

When Pvalue is < α ; We reject the null hypothesis

Hence, Reject H0; the hourly wage is less than $29 and conclude that hourly wage is less Than $29

Answer:

f(x) = x^2 -12x + 85

reverse engineer this, like Prof. Sheldon Cooper figuring out Howard's card trick

x=6+or - 7i

x-6 = + or - 7i

square both sides

(x-6)^2 = -49

x^2 -12x + 36 = -49

x^2 -12 + 85