1. Walmart’s stock price started at $70. It went up by $2, then went down $4. What is the final stock price?

2. A football team gains 5 yards, then loses 2 yards, then gain another 6 yards, then loses 3 yards. What is their net gain or loss?

3. What is the difference in elevation of Mt. Blum at 7,677 feet above sea level and New Orleans at −7 ft below sea level?


4. In one week, you earned $12 for doing your chores, you purchased some ice cream for $3, and lent your sibling $2. How much money do you have in your pocket?

5. The temperature outside one day was 60°F. At sunset, it fell by 8°. Overnight, it fell another 15°. What was the lowest temperature?

plz help and can u write the answers in order with explanation plz! thank u

Answer:

True

Step-by-step explanation:

**plug it in using the Pythagorean Theorem**

6^2+8^2= 10^2

36+64=100

100=100 (true)

Answer:

True

Step-by-step explanation:

Pythagorean Theorem: a² + b² = c²

We can prove that it is a right triangle by using the Pythagorean Theorem. We have the hypotenuse as 10 and our legs as 8 and 6:

8² + 6² = 10²

64 + 36 = 100

100 = 100

So, 6-8-10 is a Pythagorean Triple.

Answer:

3) 8:10

Step-by-step explanation:

You can simply multiply the entire ratio by 2 to get your answer:

2(4:5)

2(4):2(5)

8:10

Answer:

[tex]mGH=80^\circ[/tex]

Step-by-step explanation:

Circle F and J are congruent.

[tex]\angle DFE \cong \angle GJH[/tex]

Given that: m∠DFE = 80°

DFE is the central angle of the circle F.

The measure of arc GH is equal to the central angle of Circle J.

Since both circles are congruent

[tex]mGH=\angle DFE = 80^\circ[/tex]

The measure of arc GH is 80 degrees.

Answer:

Arc GH=80°

Step-by-step explanation:

Edge 2020

Answer:

125

Step-by-step explanation:

Surface area is the total area of all the surfaces of a shape. In order to calculate the surface area we need to consider each unique face individually.

The base of the pyramid is a square of side-length 5, and its area is 5×5=25

The side faces form an iscosoles triangle of height 10 and base length 5, its area is 10×5×[tex]\frac{1}{2}[/tex]=25.

The total surface area = Triangle +Triangle +Triangle +Triangle +Square = 25+25+25+25+25 = 125

Answer:

equation of a line:

y = mx+c

1) find the gradient, m

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

[tex]m = \frac{ - 4 - ( - 4)}{ - 10 - 1} [/tex]

[tex]m = 0[/tex]

2) find y-intercept, c using coordinate (1,-4)

y = mx + c

-4 = 0(1) + c

c = -4

the equation of line:

y = mx+c

y = 0(x) + c

y = c

y = -4

Answer:

Triangle 1: 90°, 20°

Triangle 2: 20°, 90°

Step-by-step explanation:

According to AA or Angle-Angle Similarity, any two triangles with two of the same angle measurements are similar. Only Triangle 1: 90°, 20° and Triangle 2: 20°, 90° have the same two angle measurements.

270 degree counterclockwise rotation around the origin

=============================================================

Check out the diagram below. In the diagram, I only focus on points A and A'.

We have A = (-3,4) move to A ' = (4, 3). We see the x and y coordinates swap places. Then the new second coordinate -3 becomes positive, or it has flipped sign. So the rule applied here is [tex](x,y) \to (y,-x)[/tex] which describes a 90 degree clockwise rotation; which is equivalent to a 270 degree counterclockwise rotation

The other points follow the same idea.

Answer:

c

Step-by-step explanation:

Answer: KINDLY CHECK EXPLANATION

Step-by-step explanation:

Given the data:

1) dataset:

My data(x) : 2, 4, 6, 8, 10

2) to calculate the mean absolute deviation of the data above :

Step 1: Find the mean (m) of the dataset (my data)

Mean(m) = sum of values in my data / number of observations in my data (n)

m = (2+4+6+8+10) / 5

m = 30 / 5 = 6

The mean absolute deviation(MAD) :

Sum of The absolute value of the difference between values in my data and the mean value (m) Divided by the number of observations.

MAD = (Sum of |x - m|) / n

MAD = (|2-6| + |4-6| + |6-6| + |8-6| + |10-6|) / 5

MAD = (4 + 2 + 0 + 2 + 4) / 5

MAD = 12 / 5

MAD = 2.4

Answer:

I think it's D

Step-by-step explanation:

Answer: Triangle 1 is the image of triangle 2 reflected over the y-axis

Triangle 2 is the image of triangle 3 reflected over the x-axis.

Reflecting triangle 4 over the y-axis results in triangle 3.

Step-by-step explanation:

Triangle 1 is across from triangle 2. If you make the triangles bisect, they touch the y-axis.

Triangle 2 is above triangle 3. If you make the triangles bisect, they touch the x-axis.

If you "mirror" triangle 4 over the y-axis, you make the same shape then rotate it 90 degrees and put it the same distance from the y-axis.

I can't really explain it that good without touching the picture but its kinda just a mirror image.

You translate it (a congruent shape that is on a different axis and is the same distance from that axis) and rotate is 90 degrees

Answer:

y-axis

x-axis

3

Step-by-step explanation:

Step-by-step explanation:

As someone has thankfully answered your question. I'll just try to explain that concept to you.

In direct proportion, as the first variable increases or decreases, the second variable also increases or decreases. In mathematical statements, it can be expressed as y = kx. This reads as “y varies directly as x” or “y is directly proportional as x” where k is constant in the equation.

So yes the answer is D

y = -3x

Answer:

D

Step-by-step explanation:

y = -3x

Answer:

First, we have to find slope. We do that by using slope formula. Once we have found slope, we have start to write our equation in slope-intercept form. To get the complete equation, we need to find the y-intercept. To do so, we simply plug in one of the coordinates given to us into our half-formed equation. We should be able to find the y-intercept and then have our complete linear equation once we write it all out.

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Slope Formula: [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Answer:

Thus, area of triangle is [tex]225/\sqrt{3}[/tex]

Step-by-step explanation:

Area if triangle is given by 1/2( base*height)

Given

Height = 15 units

also one angle is given as 30 degrees

we know Tan of any angle is  ratio of perpendicular and base

[tex]tan\alpha = perpendicular /base[/tex]

lets calculate tan 30 in the given triangle

we will take the smaller triangle containing angle 30 degrees and right angle

perpendicular will be half of base of triangle

base will be side with length 15 units

tan30 = perpendicular/15

[tex]1/\sqrt{3} = perpendicular/15\\=> perpendicular = 15/\sqrt{3}[/tex]

Thus, half of base of full triangle is [tex]15/\sqrt{3}[/tex]

so full base will be [tex]15*2/\sqrt{3} = 30/\sqrt{3}[/tex]

Full full triangle

height = 15 units

base =  [tex]15*2/\sqrt{3} = 30/\sqrt{3}[/tex]

Thus, area of triangle is [tex]1/2* 30/\sqrt{3}*15= 225/\sqrt{3}[/tex]

Answer:

(8, 6)

Step-by-step explanation:

M  (9. 4)

TU (x, y)

U (10.2)

T:

T = (8, 6)

Answer:

T:  (8, 6)

Step-by-step explanation:

The midpoint formulas for xm and ym involve the average x value and the average y value.  Let T:  (a, b) and V: (10,2).  The actual midpoint is M(9,4).

Looking at the x-coordinates first:

a + 10

--------- = 9 (x-coordinate of the midpoint)

    2

Then a + 10 = 18 and a = 8 (x-coordinate of point T)

Next, look at the y-coordinates:

b + 2

-------- = 4 (y-coordinate of the midpoint)

   2

Then b + 2 = 8 and b = 6

Then the x- and y-coordinates of T(a, b) are 8 and 6 respectively:

T:  (8, 6)

Step-by-step explanation:

Area 1 = the rectangle

8×3=24cm²

Area 2= semi circle

3.14r² 314/100×4×4 = 50.24cm²

add. 24+50.24 = 74.24cm² ( 10th)

Answer:

C. [tex]9^{-2} = \frac{1}{81}[/tex]

Step-by-step explanation:

Given

[tex]9^{x}[/tex]

Required

Find the expression where x - 2

[tex]9^{x}[/tex]

Substitute 2 for x

[tex]9^{-2}[/tex]

From law of indices which states

[tex]a^{-b} = \frac{1}{a^b}[/tex]

So, the expression becomes

[tex]9^{-2} = \frac{1}{9^2}[/tex]

Expand the denominator

[tex]9^{-2} = \frac{1}{9 * 9}[/tex]

[tex]9^{-2} = \frac{1}{81}[/tex]

Hence, [tex]9^{x}[/tex] is [tex]\frac{1}{81}[/tex] when x = 2

Answer:

A.

Step-by-step explanation:

The interquartile range for republicans is 185.5. The interquartile range for democrats is 186.5.

367.5 - 181 = 186.5

356 - 170.5 = 185.5

Answer:

A

Step-by-step explanation:

Answer:

So, basically, you can do this:

500,001*14<6,550,000.

This works because there is one person that can have 0 hairs, 1 hair, 2 hair and so on until we reach 500,000 hairs. Then, there has to be a repeat. So, we can do this fourteen times. Then, we can see that there are at least 14 people with a certain amount of hairs.

Answer:

1st Graph: Function

2nd Graph: Function

3rd Graph: Not a function

4th Graph: Not a function

Step-by-step explanation:

We can determine if a graph is a function or not using the Vertical Line Test. Since we see that 1 and 2 pass but 3 and 4 pass, 1 and 2 are functions while 3 and 4 are not.

Answer:

(x-3)(x+i)(x-i)

Step-by-step explanation:

khan

The complete factorization of the polynomial is A = ( x + i ) ( x - i ) ( x - 3 )

Brackets should be expanded in the following ways to factorize an expression

For an expression of the form A = a ( b + c ) , the expanded version is given by A = ab + ac, i.e., multiply the term outside the bracket by everything inside the bracket

For an expression of the form A = ( a + b ) ( c + d ) , the expanded version is given by A = ac + ad + bc + bd, in other words everything in the first bracket should be multiplied by everything in the second.

Given data ,

Let the polynomial equation be represented as A

Now , the value of A is

A = x³ - 3x² + x - 3   be equation (1)

On simplifying , we get

A = ( x³ - 3x² ) + ( x - 3 )

Taking x² as the common term , we get

A = x² ( x - 3 ) + ( x - 3 )

Now , on factorizing the equation , we get

A = ( x² + 1 ) ( x - 3 )

where the value of ( x² + 1 ) = x² - i²

So , A = ( x² - i² ) ( x - 3 )

A = ( x + i ) ( x - i ) ( x - 3 )

Therefore , the value of A is ( x + i ) ( x - i ) ( x - 3 )

Hence , the factorized equation is A = ( x + i ) ( x - i ) ( x - 3 )

To learn more about factorizing click :

https://brainly.com/question/804076

#SPJ7

Answer:

The total weight is 80g, this is equal to the weight of the salt in the mixture plus the weight of the water in the mixture.

Ws = Weight of the salt

Ww = Weight of the water.

Then:

Ww + Ws = 80g

and the solution is 35% salt, so we have:

Ws/80g = 0.35

We must solve the system of equations, we can write the second equation as:

Ws = 80g*0.35 = 28g

Then we have 28 grams of salt, and the other 62g must be of water.

Step-by-step explanation:

Let x represent the weight of the salt

Let y represent the weight of the water

We know x + y = 80g total

If the salt solution is 35%, we can write the following equation:

x/80g = 0.35

x = 80g x 0.35 = 28

28 grams

Answer:

1402.5 Cubic Units

Step-by-step explanation:

Volume of a Triangular Prism: V = [tex]\frac{1}{2}bhl[/tex]

b - base

h - height

l - length  

15 is the height, 17 is the length, and 11 is the width  (assuming which is the base).

[tex]V=0.5 * (11 * 15 * 17) \\V=0.5*2085\\V=1402.5[/tex]

The volume of the prism should be 1402.5 cubic units.

Answer:

24,950.

Step-by-step explanation:

You can use the arithmetic series formula (a sequence is the list of numbers; a series is the summation of the list).

To find the sum...

(100 / 2) (2 * 2 + (100 - 1)5) = 50 * (4 + 99 * 5) = 50 * (4 + 495) = 50 * 499 = 24950.

Hope this helps!

Answer:

The sum of the first 100 terms of the arithmetic sequence is 24,950.

Step-by-step explanation:

Sn (sum of the first n terms of an AP) is given by n/2(2a + (n-1)d)

Where

n is the number of terms

a is the first term

d is the common difference

S100 = 100/2(2×2 + (100-1)5) = 50(4 + 99×5) = 50(4 + 495) = 50(499) = 24,950

Answer:

Please see attached

Step-by-step explanation:

Answer:

Option 3.

Step-by-step explanation:

The given inequalities are

[tex]x-2y<4[/tex]

[tex]y>-2x-5[/tex]

If (a,b) is solution of given system of inequalities, then the above inequalities must be satisfy by the point (a,b).

For point (1,-4),

[tex](1)-2(-4)<4\Rightarrow 9<4[/tex] False

[tex]-4>-2(1)-5\Rightarrow -4>-7[/tex] True

Since, first inequality is false for (1,-4) point, therefore (1,-4) is not the solution.

For point (-8,2),

[tex](-8)-2(2)<4\Rightarrow -12<4[/tex] True

[tex]2>-2(-8)-5\Rightarrow 2>11[/tex] False

Since, second inequality is false for (-8,2) point, therefore (-8,2) is not the solution.

For point (0,0),

[tex](0)-2(0)<4\Rightarrow 0<4[/tex] True

[tex]0>-2(0)-5\Rightarrow 0>-5[/tex] True

Since, both of inequalities are true, therefore (0,0) is a the solution.

For point (-3,0),

[tex](-3)-2(0)<4\Rightarrow -3<4[/tex] True

[tex]0>-2(-3)-5\Rightarrow 0>-11[/tex] False

Since, second inequality is false for (-3,0) point, therefore (-3,0) is not the solution.

Hence, option 3 is correct.

Answer:

Look below

Step-by-step explanation:

8 boxes of toothpicks were given to at LEAST 25 students but 15 threw them out

8x= 8 boxes

At least 25= no less than 25 students

-15= the 15 that threw them out

x=boxes

the people= All real numbers

HOPE THIS HELPS!!!

Answer:

1 2 3 4

Step-by-step explanation:

Answer:

Neither perpendicular nor parallel.

Step-by-step explanation:

To find the answer, you just need to find the slopes of each line.

The slope of the line with points at (-6, 5) and (-2, 7) would be (7 - 5) / (-2 + 6) = 2 / 4 = 1/2.

The slope of the line with points at (4, 2) and (6, 6) would be (6 - 2) / (6 - 4) = 4 / 2 = 2.

They are most definitely not the same line.

They are not perpendicular, either, since although they are [eek I forgot the term for it] opposites, they are both positive. To be perpendicular, one slope must be negative and the other positive.

They are not parallel, since the slopes are not the same.

So, the relationship between the lines are that they are neither parallel nor perpendicular.

Hope this helps!

Answer:

The third option

Step-by-step explanation:

first, you can eliminate the 2nd and the 4th option because the vertex of the graph is located at -3, and not 3. The reason it is not the 1st option is, because  of the greater than or equal to sign, this inequality actually shows the white area.

Therefore, leaving the 3rd option. The y-intercept is correct, it is -3. The sign is also correct, because on the axis of the quadratic, -3 is the highest possible y-intercept. So y has to be less than or equal to -3.

Hope this helps! :D

Answer:

The third answer- a reflection over the x axis then a reflection over the y axis

Answer:the answer is C

Step-by-step explanation:I took the test