Find the values of p and q such that 4x-5-x^2=q-(x+p)^2

Answer: 88

Step-by-step explanation: angle B and C are equal. equation would be 46+46+X=180

Answer:

169,000 people

Step-by-step explanation:

increase from 2010-2015:

168000/100 = 1680 = 1%

1680 x 7 = 11,760 people

population at 2015 = 168000+11760 = 179,760

decrease from 2015-2020:

179760/100 = 1797.6 = 1%

1797.6 x 6 = 10,785.6 people

population at 2020 = 179760-10787.6 = 168,974.4 people

rounded to the nearest 100 = 169,000 people

Answer:

each jewel was 3 $

Step-by-step explanation:

divide 108.00/36= 3

Step-by-step explanation:

$3 for each jewel.

The number of miles, m driven if the total cost for a one-day rental was $131 is; m = 160

According to the question;

a) The equation relating m , the number of miles driven, if the total cost for a one-day rental was $131 is therefore;

b) To find the solution to the equation;

m = 160.

The number of miles, m driven if the total cost for a one-day rental was $131 is; m = 160.

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When two angle measure of a triangle are given in spherical geometry: The sum of angle measures in spherical geometry is always greater than 180, but there is not a particular number they must sum to. Choice C (No) is correct

According to the question;

However, unlike in plane geometry where affirmatively, the sum of angles in a triangle is equal to 180°.

In spherical geometry;

The totality of the angles of a triangle on a sphere is given as 180°(1 + 4x), where x is the fraction of the sphere's surface that is enclosed by the triangle. For any positive value of x, which in each case exceeds 180°.

Read more:

https://brainly.com/question/17069419

Answer:

D.

Step-by-step explanation:

-1 + 1 = 0

Answer:

x ≤ -5

-5 is the point and the point is filled and pointing to the left so it's less than or equal to

It should be B) because it the closest.

[tex]Let \: \: \: \: x = 0.370370.... \\ therefore \: \: \: x \: = 0.370370... \\ = > 1000x = 370.370370... \\ = > 1000x - x = 370.370370... - 0.370370... \\ = > 999x = 370 \\ = > x = \frac{370}{999} [/tex]

B)

[tex] \frac{370}{999} [/tex]

Hope it helps

Answer:

-150

Step-by-step explanation:

this is because you do 250 - 100 which equals -150

In part A you subtracted 100 from 100 giving you 0.

Continuing to part B you would subtract 100 from 250 leaving you with 150.

[tex] \frac{ {8}^{4} }{8 {}^{2} } \times 8 {}^{3} [/tex]

[tex]8 {}^{2} \times 8 {}^{3} [/tex]

[tex]8 {}^{5} [/tex]

Answer:   x = 41

Step-by-step explanation:

4x - 68 = 2x + 14         [since alternate interior angles are equal]

4x - 2x = 14 + 68

       2x = 82

         x = 41

Answer:

x=41

Step-by-step explanation:

this problem can be solved using the alternate interior angles converse theorem, which states that if two coplanar lines are cut by a transversal so that a pair of alternate inerior angles are congruent, then the two lines are parallel.

4x-68=2x+14

2x-68=14 <- subtract 2x from both sides

2x=82 <- add 68 to both sides

x=41 <- divide both sides by 2

check:

4(41)-68=96

2(41)+14=96

#1

Hence inequality will be

[tex]\\ \sf\longmapsto -6\leqslant 5[/tex]

#2.

But we need inequality

[tex]\\ \sf\longmapsto 3\leqslant 5[/tex]

#3

The inequality given by

[tex]\\ \sf\longmapsto -6\leqslant 3\leqslant 5[/tex]

Answer:

Step-by-step explanation:

Given numbers:

If we add these onto number line, we'll see them in same order from left to right.

We know the numbers increase from left to right on the number line, so the numbers to the left are smaller than the numbers to the right.

1.

2.

3.

The area of a shape is the amount of space it can occupy.

The value of r is 13

From the question (see attachment), we have:

[tex]\mathbf{A =176}[/tex] --- area of the shaded region

[tex]\mathbf{w = 2}[/tex] --- the width of the shaded region

The area of the complete circle would be:

[tex]\mathbf{A_1 =\pi (r + w)^2}[/tex]

The area of the small circle is:

[tex]\mathbf{A_2 =\pi r^2}[/tex]

So, the area of the shaded region is:

[tex]\mathbf{A = A_1 - A_2}[/tex]

Substitute known values

[tex]\mathbf{176 =\pi (r + w)^2 - \pi r^2 }[/tex]

Substitute 2 for w

[tex]\mathbf{176 =\pi (r + 2)^2 - \pi r^2 }[/tex]

Expand

[tex]\mathbf{176 =\pi (r^2 + 4r + 4) - \pi r^2 }[/tex]

Open brackets

[tex]\mathbf{176 =\pi r^2 + 4\pi r + 4\pi - \pi r^2 }[/tex]

Cancel out line terms

[tex]\mathbf{176 =4\pi r + 4\pi }[/tex]

Divide through by 4

[tex]\mathbf{44 =\pi r + \pi }[/tex]

Factor out pi

[tex]\mathbf{44 =\pi(r+ 1) }[/tex]

Divide through by pi

[tex]\mathbf{r + 1= \frac{44}{ \pi} }[/tex]

Substitute 22/7 for pi

[tex]\mathbf{r + 1= \frac{44}{ 22/7} }[/tex]

Using a calculator, we have

[tex]\mathbf{r + 1= 14}[/tex]

Solve for r

[tex]\mathbf{r= 14 -1}[/tex]

[tex]\mathbf{r= 13}[/tex]

Hence, the value of r is 13

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Answer:

13 nickles

Step-by-step explanation:

x= dimes

y= nickles

.1x+.05y=2.35

x-4=y

subsituting this...

.1x+.05(x-4)=2.35

.1x+.05x-.2=2.35

.15x=2.55

x=17

17-4=y

13=y

13 nickels

Step-by-step explanation:

your teacher forgot to mention if the dilation is based on the origin (0, 0).

I assume this is what was meant, but it has to be explicitly specified to be sure.

but if things are as assumed, then the scaling factor is just multiplied into the point coordinates to get the result :

H' = (-2×2, 6×2) = (-4, 12)

Step-by-step explanation:

remember, i = sqrt(-1)

you know what an exponent means, right ?

it means you multiply the enclosed term that many times with itself.

when you envision this as a long chain of (1+i)/(1-i) multiplications, you can see you can group them into pairs, and then multiply these pairs - just half the times than for the single terms.

so,

((1+i)/(1-i))²⁰²⁰ = ((1+i)/(1-i))² ^ 1010

to get an idea what the result of the long chain of multiplications might be, let's start with the square and see, if we can find a pattern, that we then can use to come to a conclusion about the total result.

((1+i)/(1-i))² = (1+i)²/(1-i)²

(1+i)² = 1×1 + 1×i + 1×i + i² = 1 + 2i - 1 = 2i

(1-i)² = 1×1 - 1×i - 1×i + i² = 1 - 2i - 1 = -2i

so,

((1+i)/(1-i))² = 2i/-2i = -1

aha !

so,

((1+i)/(1-i))² ^ 1010 = (-1)¹⁰¹⁰

just to be sure you understand, we use the same trick again

(-1)¹⁰¹⁰ = (-1)² ^ 505 = 1⁵⁰⁵ = 1

as 1 to any power is always 1.

so, the right answer is A.

remember, a negative number to an even power results always in a positive number. and to an uneven/odd power in a negative number.

again, because such an exponent is only the summary of many multiplications.

Answer:

12x-4=80

12x=80+4

=84

x=84÷12

=7

Answer:

In a categorical variable, the value is limited and usually based on a particular finite group. For example, a categorical variable can be countries, year, gender, occupation. A continuous variable, however, can take any values, from integer to decimal.

Step-by-step explanation:

HOPE IT HELPS :)

Answer:

2666 if you multiply the sum of the parenthesis

but if you add them then the answer is 105

Step-by-step explanation:

56+6=62

40+3=43

62•43= 2666

The graph of the inequality is drawn by placing a shaded circle at 4 as the starting point of ray pointing towards negative infinity

The students that created inequalities with appropriate solution set are;

A. Amanda

D. Diana

Reasons:

Question: The table of the question is presented as follows, and the graph of the inequality is attached

[tex]\begin{array}{|l|l|}\mathbf{\underlie{Amanda}}&-3\cdot x + 5 > -7\\&\\\mathbf{\undrline{Briana}}& \dfrac{1}{2} \cdot (2\cdot x - 4) >2 \\&\\\mathbf{\undrline{Courtney}}&-7\cdot x + 8 > -3 \cdot x +24\\&\\\mathbf{\undrline{Diana}}&9\cdot x - 6 <3 \cdot x+18\end{array}\right][/tex]

Solution:

The inequality with the same solution as the given graph is x < 4

The inequalities created by the students are;

Amanda;

-3·x + 5 > -7

Rearranging the above inequality gives;

-3·x + 5  - 5 > -7 - 5

-3·x > -12

Dividing both sides by (-1) and reversing the inequality sign gives;

[tex]\dfrac{-3 \cdot x}{-3} = x < \dfrac{-12}{-3} = 4[/tex]

x < 4

Therefore;

Briana;

The solution set created by Briana is [tex]\dfrac{1}{2} \cdot (2\cdot x - 4) >2[/tex]

Multiplying both expressions on either side of the equality by 2 gives;

[tex]2\times \dfrac{1}{2} \cdot (2\cdot x - 4) >2\times 2[/tex]

(2·x - 4) > 4

2·x > 4 + 4 = 8

[tex]x > \dfrac{8}{2}[/tex]

Therefore

x > 4

Courtney;

The inequality created by Courtney is -7·x + 8 > -3·x + 24

Rearranging gives;

8 - 24  > -3·x + 7·x

-16 > 4·x

4·x < -16

[tex]x < \dfrac{-16}{4}[/tex]

x < -4

Diana;

Diana's solution is 9·x - 6 < 3·x + 18

Rearranging, we get;

9·x - 3·x  <  18 + 6

6·x < 24

[tex]x < \dfrac{24}{6}[/tex]

x < 4

Therefor;

Therefore, the students that created inequalities with appropriate solution set are;

A. Amanda

D. Diana

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https://brainly.com/question/11829187

The answer is C (-3 , -3) and (-3 , 3)

Step-by-step explanation:

the other answer was already right.

yes, C (-3, -3) and (-3, 3)

but why ?

the slope is the y/x ratio of the x and y coordinate differences when going from one point to the other.

so, x changes 0 units. y changes 6 units (from -3 to 3).

so, the slope is 6/0 = infinite or simply undefined.

this is a vertical line at x = -3.

Answer:

If the same tech in the robotic arm is used throughout the body then depending on whether the arm tech is good the stability of the body will be good or bad.

Answer:

Of what is there an equation?

Step-by-step explanation:

Answer:

1/4 gallon per day

Step-by-step explanation:

Find the 'unit rate:' the measure of juice drunken daily.  To do this, divide '3/4 gallon' by '3 days:"

 3/4 gallon

------------------- = 1/4 gallon per day

    3 days

Answer:

3?

Step-by-step explanation:

i think thats right but sounds to easy

Answer:

178g

Step-by-step explanation:

Answer:

im not very good at math so maybe 202.5 but that might be a little high

Step-by-step explanation:

Answer:

here the answer it's 16.