Item 1
Write the word sentence as an inequality. Then solve the inequality.

The product of −2 and a number x is greater than 30.

An inequality is
.

The solution of this inequality is
.

Answer:

a= 9/4

Step-by-step explanation:

2m^(5/2)/m^(1/4)

2m^(5/2 -1/4)

2m^(9/4)

Hope you find this helpful <3

Answer:

I think personification

Step-by-step explanation:

Answer:

2x+7

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

A is incorrect because as x goes from 0 to 1, y jumped from 0 to 4

B is incorrect because as x goes up by 2, y at first goes up by 2 but then jumped to 4.

C is correct because as x goes up by 1, y goes up by 3

D is incorrect because y jumped from 0 to 10 and first but lowered to 5 after.

Answer: See explanation

Step-by-step explanation:

x = 10

y = 7

5x - 6y = 18

5 (10) - 6 (7) = 18

50 - 42 = 18

8 ≠ 18

The coordinates can't be (10, 7)

I barely understood the question but I hope I helped!

Answer:

[tex]x = \frac{ \sqrt{6} }{2} [/tex]

[tex]y = \frac{3 \sqrt{2} }{2} [/tex]

Step-by-step explanation:

[tex] \sin(theta) = \frac{opposite}{hypotenuse} [/tex]

[tex] \cos(theta) = \frac{adjacent}{hypotenuse} [/tex]

[tex] \tan(theta) = \frac{opposite}{adjacent} [/tex]

theta = 30°

hypotenuse = √6

opposite = x

adjacent = y

[tex] \sin(theta) = \frac{opposite}{hypotenuse} [/tex]

[tex] \sin(30) = \frac{x}{ \sqrt{6} } [/tex]

[tex] \sin(30) \times \sqrt{6} = x[/tex]

[tex] \frac{ \sqrt{6} }{2} = x[/tex]

[tex]x = \frac{ \sqrt{6} }{2} [/tex]

[tex] \cos(theta) = \frac{adjacent}{hypotenuse} [/tex]

[tex] \cos(30) = \frac{y}{ \sqrt{6} } [/tex]

[tex] \cos(30) \times \sqrt{6} = y[/tex]

[tex] \frac{3 \sqrt{2} }{2} = y[/tex]

[tex]y = \frac{3 \sqrt{2} }{2} [/tex]

Answer:

2). 2

3). 5

4). 3

5). 6

Step-by-step explanation:

Answer:

6.4294 years

Step-by-step explanation:

45.1 million in 2009 -- 2.3% each year

In what year will the population exceed 52.2 million?

We use exponential growth formula

ξ(t) = y = ab^t

a = 45.1, b = 1+ξ, ξ= 2.3%, ξ(t) = 52.2

52.2/45.1 = (1.023)^t

We take log both side

Log(1.15742794) = tlog(1.023)

0.0634939619 = t0.00987563371

t = 0.0634939619/0.00987563371

t = 6.429355701569454

t = 6.4294 years

Answer:

3x2y(3x2−2xy+y2) So C

Step-by-step explanation:

Answer:

The value of (f о h) (2) is 2

Step-by-step explanation:

Let us solve the question

In the composite function (f о h) (x) we substitute x in f(x) by h(x)

∵ f(x) = 2x² - 9x + 2

∵ h(x) = x² - 4

∵ We need to find (f о h) (2)

→ That means use x = 2

∴ x = 2

We will find at first h(2), then substitute x in f by the answer of h(2)

∵ x = 2

∵ h(2) = (2)² - 4

∴ h(2) = 4 - 4

∴ h(2) = 0

Now substitute x in f by 0

∵ x = 0

∵ f(0) = 2(0)² - 9(0) + 2

∴ f(0) = 0 - 0 + 2

∴ f(0) = 2

∴ (f о h) (2) = 2

While solving, you can treat inequalities the exact same as you would treat equations.  Pretend the inequality sign is an equals sign.  Now solve for x.

-3x + 6 < 27

-3x < 21

3x < -21

x < -7

Answer:

92/69 cannot be simplified

Step-by-step explanation:

Answer:

HL, SAS, ans SSS

Step-by-step explanation:

ASA and AAS cannot be used because we can only confirm one angle of each triangle.

Congruent shapes have equal corresponding sides and angles.

The congruence theorems that can be used to prove [tex]\triangle ABR \cong \triangle ACR[/tex] are HL, SAS, and SSS

[tex]\triangle ABR \cong \triangle ACR[/tex] means that, the triangles are congruent.

From the attached figure, we have the following congruent sides and angle:

The above highlights mean that the following theorems can be used to prove that the triangles are congruent:

HL, SAS, and SSS

Read more about congruent triangles at:

https://brainly.com/question/11329400

Answer: He bought 8 quarts

Step-by-step explanation:

There are 4 quarts in a gallon so if you multiply 4 by 2 then you get 8,

Answer:

8 quarts

Step-by-step explanation:

1 gallon is equal to 4 quarts, so from there you just multiply 2 times 4 and you get 8 !

Answer:

He travels 165 miles

Step-by-step explanation:

Answer:

2 groups

Step-by-step explanation:

13 times 3 is 39

39 is not 34

please mark me brainliest!!!

Answer:

x = 20

Step-by-step explanation:

The way to solve these problems is by isolating x (getting it by itself on one side).

So let's look at the operations needed!  First of all, there's currently a +6 hanging out next to x.  We don't want that, so we subtract 6 from both sides.

x/5 + 6 = 10

       -6    -6

      x/5 = 4

We now see that x is being divided by five.  To get just x, we can now multiply both sides by five to get rid of that fraction.

       x/5 = 4

        *5    *5

           x = 20

Answer:   a square with side length 4 inches

a 2 inch by 8 inch rectangle

a heart-shaped base with an area of 16 square inches

Step-by-step explanation: The given height is 5. Any base with an area of 16 square inches will be an acceptable base.

For example, if the circular base had a radius of about 2.257 inches, its area would be 16 square inches

(2.257)² ≈ 5.093

5.093 × 3.1416 ≈ 16

16 × 5 = 80

The base for this prism should be like

a square with side length 4 inches.

a 2 inch by 8 inch rectangle.

a heart-shaped base with an area of 16 square inches.

Since

The given height is 5.

Any base with an area of 16 square inches should be considered as an acceptable base.

Like if the circular base had a radius of about 2.257 inches, its area would be 16 square inches

So, it be like

(2.257)² ≈ 5.093

Now

5.093 ( 3.1416) ≈ 16

16 ( 5) = 80

Learn more about prism here; https://brainly.com/question/24606047

Answer:

Step-by-step explanation:

if the equation of line p is

4x+7y=20 then the equation of line q must be

-7 x +4y=15 because perpendicular lines have

slopes with a product of -1

Answer:

ggggvx

Step-by-step explanation:

cddfvdcvv

Answer:

B.

Step-by-step explanation: B.

Answer:

B.

Step-by-step explanation:

Answer:

x=45

Step-by-step explanation:

You should follow the formula:

3x+3x+x+x=360

8x=360

x=45

Answer:

4. (-8) - (+3)

Step-by-step explanation:

This answer does not result in an answer of -5

This subtracts -3 from -8, which gives you the answer of -11.

So, this answer is correct because it is the one that doesn't result in -5.

Answer:

Problem #4

Step-by-step explanation:

Some things to remember when doing problems like are

Double negative = positive

Double positive = positive

Negative & positive = negative

1. (-7) + (+2)          2. (-11) + (+6)        3. (-9) - (-4)        4. (-8) - (+3)

    -7 + 2                   -11 + 6                  -9 + 4                -8 - 3

       -5                          -5                         -5                     -11

Answer:

721084490

Step-by-step explanation:

Answer:

5:20

12:48

11:44

Step-by-step explanation:

I just multiplied them by 4

Answer:

4x-3

Step-by-step explanation:

(7x-5) - (3x-2)

aka

(7x-5)  -1 (3x-2)

first distribute the -1 into (3x-2)

-3x+2

so

(7x-5)+ -3x+2

next combine like terms

7x-3x=4x

so

4x-5+2

then

-5+2=-3

so

4x-3 would be your simplified equation

the answer is six

I'm sure