If OP=17 and QP=6, what is OQ? First, complete the Segment Addition Postulate for this problem.

OQ + QP= BLANK?

Fill in what you know and solve for OQ

OQ= BLANK?

Answer:

C)  x > - 1

Step-by-step explanation:

8(7 - x) < 64

56 - 8x < 64

56 - 64 < 8x

- 8 < 8x

- 1 < x

x > - 1

Answer:

The answer is c, or x > -1.

Step-by-step explanation:

Problem: 8(7-x) < 64

Distributive Property - So multiply 8 by both 7 and x individually

56 - 8x < 64

Subtract 56 from both sides

-8x<8

Divide both sides by 8 and flip the sign because whenever you divide or multiply an inequality by a negative number, you flip the sign.

x>-1

Hope that helped!

Answer:

[tex]3\sqrt{5}.[/tex]

Step-by-step explanation:

It is given that the initial point of [tex]\vec{a}[/tex] is (-2,4) and terminal point is (-5,-2). So, [tex]\vec{a}[/tex] is defined as

[tex]\vec{a}=(-5-(-2))\hat{i}+(-2-4)\hat{j}[/tex]

[tex]\vec{a}=(-5+2)\hat{i}+(-2-4)\hat{j}[/tex]  

[tex]\vec{a}=-3\hat{i}-6\hat{j}[/tex]

The magnitude of [tex]\vec{v}=a\hat{i}+b\hat{j}[/tex] is

[tex]|\vec{v}|=\sqrt{a^2+b^2}[/tex]

The magnitude of [tex]\vec{a}[/tex] is

[tex]|\vec{a}|=\sqrt{(-3)^2+(-6)^2}[/tex]

[tex]|\vec{a}|=\sqrt{9+36}[/tex]

[tex]|\vec{a}|=\sqrt{45}[/tex]

[tex]|\vec{a}|=3\sqrt{5}[/tex]

Modulus of magnitude is

[tex]||\vec{a}||=|3\sqrt{5}|=3\sqrt{5}[/tex]

So, the magnitude of [tex]\vec{a}[/tex] is [tex]3\sqrt{5}.[/tex]

Answer:

32000

Step-by-step explanation:

1.04x=33280

32000

Answer: D

Step-by-step explanation:

72/150 x 100 = 48%

Answer:

4) 7.9%

Step-by-step explanation:

Given:

% of milk chocolate = 70%

% of white chocolate = 30%

Total number of chocolate = 20

Number of milk chocolate:

[tex] \frac{70}{100} * 20 = 14 [/tex]

Number of white chocolate:

[tex] \frac{30}{100} * 20 = 6 [/tex]

From the calculations, we now know there are 14 milk chocolates and 6 white chocolates.

2 white chocolates are picked at random without replacement.

Probability first chocolate picked was white: [tex] \frac{6}{20} = 0.3 [/tex]

Probability second chocolate picked was white: [tex] \frac{5}{19} = 0.2632[/tex]

To find probability that both of them are white chocolates, multiply probability of the first and second.

0.3 * 0.2632 = 0.07896

≈ 0.079

Convert to percentage by multiplying by 100.

0.079 * 100 = 7.9%

The probability that they are both

white chocolate is 7.9%

Answer:

The mean is 7.5

Step-by-step explanation:

1.add all of the numbers together

2.Divide by 10 since you have 10 numbers to add

Hope this Helps!

Answer:

Step-by-step explanation:

Given sin α = –4∕5 and sin β = 1∕2

To get α from sin α = –4∕5,

α = arcsin(-4/5)

α = arcsin (-0.8)

α = -53.13°

If angle α is in quadrant III, then α = 180+53.13 = 233.13° (sin is negative in the 3rd quadrant)

Similarly for sin β = 1∕2

β = arcsin(1/2)

β = arcsin(0.5)

β = 30°

Since  β is in quadrant II,  β = 180-30 = 150°

To find  cos (α + β). where α = 233.13° and  β = 30°

cos (α + β)= cos (233.13 + 150)

= cos 383.13°

cos (α + β) = 0.9196

The root index of 5 start root 13 cubed End root is [tex]13^\frac{3}{5}[/tex].

If 'n' is a positive integer that is greater than 1, and 'a' is a real number then "n √a = [tex]a^\frac{1}{n}[/tex]  where 'n' is root index, 'a' is base and '√' is radical".

According to the question,

5 start root 13 cubed end root can be written in root index form.

If 'n' is a positive integer that is greater than 1, and 'a' is a real number then "n √a = [tex]a^\frac{1}{n}[/tex]  where 'n' is root index, 'a' is base and '√' is radical".

= [tex]13^\frac{3}{5}[/tex].

Hence, the root index of 5 start root 13 cubed End root is [tex]13^\frac{3}{5}[/tex].

Learn more about root index here

https://brainly.com/question/17775178

#SPJ2

Answer: D

Step-by-step explanation:

you're welcome

Answer:

7

Step-by-step explanation:

7x + 68 = 2x + 103

Subtract 2x from each side

5x + 68 = 103

Subtract 68 from each side

5x = 35

divide 5 from 35 and you get X = 7

Answer:

133

Step-by-step explanation:

We are given the expression:

s(6-t)+7(s+1)

We are also given s=6 and t= -8. Therefore, we can substitute 6 in for s and -8 in for t.

6(6--8) +7(6+1)

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

First, solve inside the parentheses. Subtract 6 and -8.

6(14)+7(6+1)

Solve the other set of parentheses. Add 6 and 1.

6(14)+7(7)

Multiply 6 and 14.

84+7(7)

Multiply 7 and 7

84+49

Add 84and 49

133

Answer:

133

Step-by-step explanation:

s(6 - t) + 7(s + 1)

Plug in numbers:

6(6 - (-8)) + 7(6+ 1)

using Bedmas, solve:

Brackets first: 6(14) + 7(7)

Solve multiplication: 84 + 49

Add together: 133

Answer:

x=5

Step-by-step explanation:

-3x+7=-8

Bring 7 to the other side, it becomes negative

-3x=-8-7

Signs are same on rhs so u add

-3x = -8+-7= -15

Bring -3 to the other side n divide

therefore,

x=-15/-3

= +5 (two negatives become positive)

Hope it helps!

Answer:

x = 5

Step-by-step explanation:

→Subtract 7 from both sides:

-3x + 7 = -8

-3x = -15

→Divide both sides by -3:

x = 5

Answer:

3 plus 3 and 9 plsu 9 is 23 or 25 hope it help lil boy or girl

Step-by-step explanation:

the answer is in the top

Answer:

hope this helps! pls mark brainliest

Step-by-step explanation:

y= -1/2x + 2

y=mx+b

b is the y intercept which is where the line passes through the point.

m is slope to find slope go to a point (ex- (0,4) and go to the next and to do that is up 1 over 2 which is 1/2 and the line is going left so it's negative

Answer:

Sigma-Summation Underscript n = 1 Overscript 3 EndScripts (… ... Underscript n = 1 Overscript 3 EndScripts (1.3) (.8) Superscript n minus 1 ... To get the sum to infinity of the geometric series, we need to get its first term

Step-by-step explanation:

Answer: D) The bottom right image

Step-by-step explanation: The linear graph is the one that represents a proportional relationship, the graph goes through the origin. You want it to go through the origin.

I hope this helps!

Answer:

The slope of the line is D. 3/2.

Step-by-step explanation:

Answer:

the length of the radius of the Earth Model = 9cm

Step-by-step explanation:

The volume of the model of Earth is approximately 3052.08 cubic centimeters.

It has been discovered that the Earth is spherical in shape, hence this model is spherical as well.

The formula for the Volume of a Sphere = 4/3 πr³

Where r = radius or the length of the radius

The Volume of the Earth Model = 3052.08 cm³

We are told to use π = 3.14

To find the length of the radius, we have derive the formula

V = 4/3 × π × r³

V = 4πr³/3

Cross multiply

3V = 4πr³

Divide both side by 4π

3V/4π = r³

We find the cube root of both sides =

∛(3V/4π) = r

Substituting our given values in the question, we have:

∛(3 × 3052.08/ 4 ×3.14) = r

r = ∛9156.24÷12.56

r = ∛729

r = 9cm

Therefore, the length of the radius of the Earth Model = 9cm

Answer:

Step-by-step explanation:

Given the following parameters

standard deviation σ = 2.5

z-score Z = 2.4

observed value x = 16

Mean of the dataset μ = ?

Using the formula for calculating the z-score as shown to calculate the mean

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

On substituting the values;

[tex]2.4 = \frac{16-\mu}{2.5} \\2.4 * 2.5 = 16-\mu\\6 = 16-\mu\\\mu = 16-6\\\mu = 10[/tex]

The mean of the dataset is 10

Answer: I think is c

Step-by-step explanation:

Answer: 13

Step-by-step explanation: 15-2=13

Answer: Angles 1 and 3 are adjacent to angle 140. (because they are next to each other)

Angles 1 and 2, 1 and 140, 140 and 3, and 3 and 2 are supplementary (because together they add up to 180 degrees)

Angles 140 and 2 and 1 and 3 are vertical angles because they are across from each other.

This may be a little confusing, so don't be afraid to ask for clarification, but great luck!

Answer:

0.07

Step-by-step explanation:

Answer:

The horizontal distance the ball travels before returning to the ground is 19.5 m

Step-by-step explanation:

Formula of range of horizontal distance =[tex]\frac{u^2 Sin 2 \theta}{g}[/tex]

Where u is the initial velocity

g is gravity

We are given that A ball is kicked off the ground with a velocity of 15 m/s at an angle of 30° horizontally.

So, u = 15 m/s

[tex]\theta = 30^{\circ}[/tex]

g = 10

So, the horizontal distance the ball travels before returning to the ground = [tex]\frac{15^2 Sin 2(30^{\circ})}{10}=19.48 \sim 19.5 m[/tex]

Hence The horizontal distance the ball travels before returning to the ground is 19.5 m

Answer:

c

Step-by-step explanation:

(-3s+2t)(4s+t)=-12s^2-3st+8st+2t^2 =  [tex]-12s^2+8st-2t^2[/tex]

Answer:

{x ∈ R: x<6}

Step-by-step explanation:

Given

Required

Write the set using set builder notation

The very first thing to do is to list out the range of x, using inequalities;

x is less than 6 implies that -infiniti < x < 6

The next step is to translate this to set builder. This is done as follows

x ∈ R - > This means that x is a real number

x < 6 -> where x is less than 6.

Bringing these two together, it gives:

{x ∈ R: x<6}

Hence, the set of real numbers x less than 6 is equivalent to {x ∈ R: x<6} using set builder notation

Answer:

WAY BELOW...

Step-by-step explanation:

So first look at the base. It is an octagon.

Look at the answers now. You can eliminate the ones that don't have triangles, and you have two pyramids. One has a hexagon base and one has a octagon base.

That's the answer.

Answer:

Hey!

Your answer is BELOW!!!

Step-by-step explanation:

HOPE THIS HELPS!!

Answer:

Slope= -1x OR -x

Step-by-step explanation:

rise over run: y2 - y1 / x2 - x1

= 3 - (-3) / -4 - 2

= 6 / -6

= -1

Answer:

Y=-x-3 slope =-1

Step-by-step explanation:

To first find the gradient u have to subtract the y intercepts and the x intercepts

3--3/-4-2

=6/-6=-1

Y-3/x--4=-1

Y-3=-1(x+4)

Y-3=-x+-4

Y=-x-4+3

Y=-x-3

Slope=-1

Answer:

4×3=12

Step-by-step explanation:

all i did was multiple 4 times 3 and i came up with my answer

Answer:

78 percent wider than higher

Step-by-step explanation:

The answer to your question is 3