Which expression is equivalent to mn+z

Answer: 1/4

Explanation: Remember that the absolute value of a number is just the positive version of that number. So the absolute value of -1/4 is 1/4.

Answer:

3-2x=-1.5

add -3 on both sides

-3+3-2x=-1.5+3

-2x=1.5

x=1.5/-2

Answer:

x= 9/4

Step-by-step explanation:

3 - 2x = -1.5

-2x = -4.5

x = 4.5/2

Simplified x = 9/4

Answer:

distance = 5 units

Step-by-step explanation:

In order to solve this problem we can start by plotting the two points you were provided with (see attached picture). This will help us visualize the problem better.

Now, we need to find the distance between those two points, so in order to do so we can use the distance formula:

[tex]distance = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

in this case the x's and y's are given by the given points, since they are written as ordere pairs. And ordered pairs are written in the form (x,y). So for Point C:

C=(-1,4)

[tex]x_{1}=-1[/tex]

[tex]y_{1}=4[/tex]

and for point D

D=(2.0)

[tex]x_{2}=2[/tex]

[tex]y_{2}=0[/tex]

so we can now use those values in our distance formula so we get:

[tex]d=\sqrt{(2-(-1))^{2}+(0-4)^{2}}[/tex]

[tex]d=\sqrt{(3)^{2}+(-4)^{2}}[/tex]

[tex]d=\sqrt{9+16}[/tex]

[tex]d=\sqrt{25}[/tex]

d=5 units.

Answer:

Point C has the coordinates (–1, 4) and point D has the coordinates (2, 0). What is the distance between points C and D?

d = StartRoot (x 2 minus x 1) squared + (v 2 minus v 1) squared EndRoot

5  units

Step-by-step explanation:

Just did it on Edg

Answer:1/8

Step-by-step explanation:

there are 8 slices and its asking for the probability of one number. so its 1 out of 8

Answer: 1/4

Step-by-step explanation:

3 and 6 are multiples of 3. There are 8 possible options, and 2 multiples of 3.

2/8 = 1/4

Answer:

45+46+47

-2+-3+-4

Step-by-step explanation:

Answer: So, an Engineer will use a topography while working to locate the elevation for a given region. They provide the numerical value of an elevation. So from the list of options the closest to it is to determine the best location for a new road.

I hope this is helpful.

Answer:

B

Step-by-step explanation:

Step-by-step explanation:

The three numbers are 23 25 and 27

23 + 25 + 27 = 75

The smallest number is 23

Answer:

10082.36cm²

Step-by-step explanation:

The formula for volume of a cone: V = [(3.14) r²](h/3)

Steps:

1. Find the value of the radius: 1/2 of the diameter (26/2) = 13cm

2. Find the value of the height: 31cm

3. Plugin: [(3.14) 13²] (31/3)

Solve for the volume of the cone:

a) 13² = 169

b) 169(pi) = 530.66

c) 530.66 (31/3) = 530.66 (10.3333)

Volume of cone: 5483.31

The formula for volume of hemisphere is 1/2[(4/3)3.14{r³}]

Steps:

1. Find the value of the radius: 13cm

2. Solve for the volume of the hemisphere

1. 13x13x13 = 2197

2. 2197 (3.14) = 6898.58

3. (4/3) 6896.58 = 9198.1067

4. (1/2) 9198.1067 = 4599.05

Add the two volumes together:

4599.05+5483.31 = 10082.36cm²

This took forever since I used the google calculator, but it got done after forever! Hope this helps!

The Volume of the figure is 10,082.53 cm³.

Volume is a three-dimensional quantity used to calculate a solid shape's capacity. That means that the volume of a closed form determines how much three-dimensional space it can fill.

Volume is a three-dimensional quantity used to calculate a solid shape's capacity.

We have a cone surmounted by Hemisphere.

So, Volume of Figure

= Volume of Cone + Volume of Hemisphere

= 1/3 πr²h + 2/3 πr³

= 1/3 x 3.14 x 13 x 13 x 31 + 2/3 x 3.14 x 13 x 13 x 13

= 5,483.48 + 4,599.05

= 10,082.53 cm³

Learn more about Volume here:

https://brainly.com/question/1578538

#SPJ3

Answer:

y = x² -8x + 16

Step-by-step explanation:

y = (x -4)^2

y = (x -4) * (x -4)

use the FOIL method

y = x*x -4x -4x +16

y = x² -8x + 16

Options A, B, D, and E are correct answers such that the probability of the usage of social media by 8th and 9th-grade students is given.

A. There is no association between using social media and grade level.

B. The probability a student uses social media, given that he or she is in 9th grade, is 81%.

D. An 8th grader is more likely to use social media than not.

E. Knowing a student’s grade level does not help determine if he or she uses social media.

Probability is the ratio of the favorable outcomes to the total outcomes.

Given that, a group of 8th and 9th graders were surveyed about whether they use social media to communicate with their friends.

We can see that, there is no relationship between the usage of social media and grade level so, we can say that there is no association between using social media and grade level.

Probability of using social media by a 9th grader is-

P(9) = 0.81 / 1 x 100 = 81%

Probability of using social media by a 8th grader is-

P(8) = 0.84 / 1 x 100 = 84%

We cannot define the usage of social media depending on the grade level.

Thus, Options A, B, D, and E are correct answers.

Learn more about probability here- brainly.com/question/11234923

#SPJ3

The table is attached

Answer:

42

Step-by-step explanation:

The perimeter of circle is same as it’s circumference.

Circumference = π * D

132 = 22/7 * D

22D = 7 * 132

22D = 924

D = 924/22

D = 42

Answer:

42.0

Step-by-step explanation:

For this question we are given the circumference of a circle which is 132 and we are asked to find diameter of the circle. We need to utilise one important formula which the circumference of a circle formula

⇒ Circumference of a circle = π × d

We need to make 132 equal to the circumference of a circle formula so then we can work out the diameter by forming an equation to solve for the diameter so,

⇒ Form the equation

→ π × d = 132

⇒ Divide both sides by π to isolate d

→ d = 42.0169049763

The diameter of the circle with a perimeter of 132 is 42.0 to 1 decimal place

Answer:

26771.8115

Step-by-step explanation:

24500(1.03)=25235 then continue doing this 2 more times and you get 26771.8115

Answer:

This is a special triangle. It is a 30 60 90 degree triangle. I would google more about it. I don't have much more time to work it out. I hope this helps. Have a great rest of your day!

Answer:

7 + 3/8x

Step-by-step explanation:

8+7/8x−1−1/2x.

Combine like terms

8-1  +  7/8x -1/2x

7 + 7/8x -1/2x

Get a common denominator

7 + 7/8x -4/8x

7 + 3/8x

Answer:

7.211

Step-by-step explanation:

Answer:

The answer would be {y|y>0}

Step-by-step explanation:

hope this helps

Answer:

A

Step-by-step explanation:

[tex]3x^2+5x+2=0[/tex]

[tex]x=\dfrac{-5\pm \sqrt{5^2-4(2)(3)}}{6}=\dfrac{-5\pm 1}{6}=-\dfrac{2}{3}, -1[/tex]

Therefore, the answer is choice A. Hope this helps!

Answer:

see explanation

Step-by-step explanation:

Since Θ is an angle in the third quadrant, then secΘ < 0 and tanΘ > 0

Using the identity

sec x = [tex]\frac{1}{cosx}[/tex] , then

cos x = - [tex]\sqrt{1-sin^2x}[/tex]

         = - [tex]\sqrt{1-(-3/5)^2}[/tex] = - [tex]\sqrt{1-\frac{9}{25} }[/tex] = - [tex]\sqrt{\frac{16}{25} }[/tex] = - [tex]\frac{4}{5}[/tex], thus

secΘ = [tex]\frac{1}{-\frac{4}{5} }[/tex] = - [tex]\frac{5}{4}[/tex]

---------------------------

Using the identity

tan x = [tex]\frac{sinx}{cosx}[/tex] , then

tanΘ = [tex]\frac{-\frac{3}{5} }{-\frac{4}{5} }[/tex] = - [tex]\frac{3}{5}[/tex] × - [tex]\frac{5}{4}[/tex] = [tex]\frac{3}{4}[/tex]

The value of sec(x) is (5/4) and tan(x) will be (-3)(4).

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle termed trigonometry.

Sine, cosine, tangent, cosecant, secant, and cotangent are some of their names. The adjacent side, opposite side, and hypotenuse side of the right triangle are used to define each of these trigonometric ratios.

The six trigonometric ratios are the source of all fundamental trigonometric identities.

The given value of sin (x) is ( -3 / 5 ). The values of sec(x) and tan(x) will be calculated as below:-

sec(x) = 1 / cos(x)

[tex]cosx = \sqrt{1-sin^2x}[/tex]

[tex]cosx = \sqrt{1-(\dfrac{-3}{5})^2}[/tex]

cos(x) = 4 / 5

sec(x) = 1 / ( 4 / 5 ) = ( 5/ 4)

The value of tan(x) will be calculated as:-

tan(x) = sin(x)/cos(x) = ( -3 / 5 ) / (4 / 5 )

tan(x) = (-3/4)

Therefore, the value of sec(x) is (5/4) and tan(x) will be (-3)(4).

To know more about Trigonometry follow

https://brainly.com/question/24349828

#SPJ5

Answer:

355

Step-by-step explanation:

3[tex]x^{3}[/tex]-5[tex]y^{2}[/tex]=3*5³-5*2²

3*5³-5*2²=3*125-5*4

3*125-5*4=375-20

375-20=355

Answer:

355

Step-by-step explanation:

3-5=3*5³-5*2²

3*5³-5*2²=3*125-5*4

3*125-5*4=375-20

375-20=355

Answer:

The missing side is 22.98, or rounded to the nearest tenth, 23

The angles are 90, 40.37, and 49.63

Step-by-step explanation:

We can use the Pythagorean theorem to solve this problem;

[tex]a^2 + b^2 = c^2[/tex]

Since a = 14.9 and b= 17.5, we need to find the missing side, or c

[tex]14.9^2 + 17.5 ^2 = c^2[/tex]

Using a calculator this gives us;

528.26 = [tex]c^2[/tex]

Now to undo [tex]c^2[/tex], we have to square root both sides

[tex]\sqrt{528.26} = \sqrt{c^2}[/tex]

22.98 = c

Now to round to the nearest tenth, we know that .9 is greater than 5, so we can round 22.98 to 23

Now to find the angles.

We know that the triangle has a hypotenuse of 23, a short side of 14.9 and a long side of 17.5.

I labeled the side opposite of 14.9, x, and I will use sin to solve for the angle.

We know that sin= opposite/hypotenuse

So, sin(x)=14.9/23

Since we want to find the angle we must use the inverse of the trig function.

[tex]sin^-^1[/tex](14.9/23) = x

By using a calculator we get

x=40.37

Now since we know that this is a right triangle, we have a 90 degree angle.

So, we can subtract from 180 to find the third angle.

180-90-40.37=49.63

The angles of the triangle are 90, 40.37 and 49.63.

Hope this helped let me know if this can be explained further or if anything is wrong! : )

Answer:

Step-by-step explanation:

A population parameter describes an entire population; a particular characteristic of an entire population. A value that describes the entire population. In this context, the population parameter is looking into the average ages of fathers when they had their first child, but this value is not given. The mean given here is the sample statistic.

Since, the population studied here is a very large population (all fathers), you have a statistic. But sometimes, if the population is very small and groups are small enough to measure, you have a parameter.

Answer:

The type of triangle is this triangle is the acute isosceles triangle

Step-by-step explanation:

They are all less than 90 degrees and two of the sides are the same and two of the angles are the same

Answer:

The type of triangle is this triangle is the acute isosceles triangle

Step-by-step explanation:

bro get smart stop cheating

Good evening

Answer:

Step-by-step explanation:

Suppose M(x , y) is a point of the circle of center (6,3) and radius 10 and M is also a point of the y-axis then the coordonates of M should verify these two equations at the same time:

[tex]\left \{ {(x-6)^{2} +(y-3)^2=10^{2} } \atop {x=0}} \right.[/tex]

Then

(0-6)² + (y-3)² = 100

then

36 + (y-3)² = 100

then

(y-3)² = 100 - 36

        = 64

then

|y-3| = 8

then

y - 3 = 8 or y - 3 = -8

then

y = 11   or  y = 5

then the only points that are on the edge of the circle and on y-axis are:

(0 , 5) and (0 , 11).

:)

Answer:

(0, –5)

Step-by-step explanation:

If you don't see this option there is another option, (0 , 11) is also correct

Answer:

angle F

Step-by-step explanation:

so they want an angle that's on the SAME SIDE as angle D. angle C is on the opposite side of the transversal.

Angle E would be alternate interior, not same side interior.

angle B is supplementary to angle D

therefore, the answer is F

Answer:

64 - 8 + 12 x (2 + 9) = 188

Step-by-step explanation:

64 - 8 + 12 x 2 + 9 = 188

Putting parentheses around two numbers and one operation:

64 - 8 + 12 x (2 + 9) = 188

Following the BODMAS principle

Solving the bracket or parentheses first

(2 + 9) = 11

64 - 8 + 12 × 11

Then multiplication:

12 × 11 = 132

64 - 8 + 132

Then addition:

-8 + 132 = 124

64 + 124 = 188

Hence the proof

Answer:

[tex] -0.01 \leq p \leq 0.12[/tex]

The confidence is 0.95 or 95% and the significance would be given by: [tex] \alpha=1-0.95=0.05[/tex]/

For this case our confidence interval contains the value 0. So then we can conclude that we don't have significant differences in the the proportion of satisfied owners of AWD vehicles  from the proportion of satisfied owners of FWD at the significance level used of 5%. So then the claim that the two proportions are different is incorrect with the results obtained

Step-by-step explanation:

The confidence interval for the true proportion would be given by this formula

[tex]\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

And for this case we have the following result:

[tex] -0.01 \leq p \leq 0.12[/tex]

The confidence is 0.95 or 95% and the significance would be given by: [tex] \alpha=1-0.95=0.05[/tex]/

For this case our confidence interval contains the value 0. So then we can conclude that we don't have significant differences in the the proportion of satisfied owners of AWD vehicles  from the proportion of satisfied owners of FWD at the significance level used of 5%. So then the claim that the two proportions are different is incorrect with the results obtained

Answer:

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

Step-by-step explanation:

We are given a point P which lies on a unit circle

P  = (-½, y)

Where x coordinate is -½ and y coordinate is y.

We are asked to find the value of y in simplest form.

Recall that a unit circle has a radius of 1 and is centered at the origin that is (0,0).

The equation of the unit circle is given by

[tex]x^{2} + y^{2} = 1[/tex]

Since the point P lies on a unit circle, we can substitute this point into the equation of unit circle and get the value of y.

Substitute x = -½ and y = y

[tex](-\frac{1}{2} )^{2} + y^{2} = 1\\\\(\frac{1}{4} ) + y^{2} = 1\\\\y^{2} = 1 - \frac{1}{4} \\\\y^{2} = \frac{3}{4} \\\\y = \pm \sqrt{\frac{3}{4}} \\\\y = \pm \frac{\sqrt{3}}{2}} \\\\[/tex]

Assuming that the given point P lies in the 2nd quadrant, the value of y will be positive.

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

Therefore, the coordinates of the point P are

[tex]P =( -\frac{1}{2} , \frac{\sqrt{3}}{2}}) \\\\[/tex]

Answer:Use the quadratic 'Complete the Square' method

Step-by-step explanation:#x^2 - 6x +y^2 - 4y = 12

Then take 1/2 of the 'b' term for both quadratic expressions, square those values and add them to both sides.

#x^2 -6x + 9 + y^2 - 4y + 4 = 12 + 9 + 4

(x - 3)^2 + (y -2)^2 = 25

Circle centered at (3,2) with radius = 5

Answer:

d = 5.4

Step-by-step explanation:

Pythagorean theorem: a^2 + b^2 = c^2

a = 2

b = 5

2^2 + 5^2 = c^2

4 + 25 = c^2

29 = c^2

c = 5.4

Answer:

[tex]\sqrt{29}[/tex]

Step-by-step explanation:

Using pythagorean theorem you will get 5 squared plus 2 squared equals c squared. Which is 25+4= 29 = c squared. That's the answer it wont simplify any further.