Simplify: ( ++)2 + ( −+)2 + ( +−)2

Answer:

A)  [tex]T=\frac{-20}{4}[/tex]

B) T = -5 °C

Step-by-step explanation:

A) Let T be the change in temperature of the week. T is determined as the total temperature change (-20°C) divided by the number of weeks that have passed (4 weeks). The expression is:

[tex]T=\frac{-20}{4}[/tex]

B) In order to simplify the expression, simply perform the division.

[tex]T=\frac{-20}{4}\\T=-5^oC[/tex]

This means that the temperature has dropped by 5 degrees each week.

Answer:

-22

Step-by-step explanation:

set y equal to zero and solve like a regular singular variable equation

Answer:

[tex]\frac{h-12-2}{4} = x[/tex]  & a² = c² - b²

Step-by-step explanation:

h = 4 (x + 3y) + 2

Expand brackets

h = 4x + 12y + 2

Subtract 12y & 2 from both sides

h - 12y - 2 = 4x

Divide both sides by 4

[tex]\frac{h-12-2}{4} = x[/tex]

a² = c² - b²

Then √ both sides to lose the ²

Answer:

below

Step-by-step explanation:

Answer:

1) -.91

2) .53

3) .04

Step-by-step explanation:

[tex]sin(24)[/tex] = -.905578362

-.91 rounded to the nearest hundredth

[tex]cos(45)[/tex] = .5253219888

.53 rounded to the nearest hundredth

[tex]tan(88)[/tex]= .0354205013

.04 rounded to the nearest hundredth

Answer:

x=34

y=17

Step-by-step explanation:

Let Paula's score be= x

Let Maria's score be=y

Given:

x=2y

x+y=51

Substitution:

2y+y=51

Formula:

2y+y=51

3y=51

y=17

x=2y

x=2(17)

x=34

Proof:

x+y=51

34+17=51

51=51

Hope this helps ;) ❤❤❤

Answer:2a√(15a)

Step-by-step explanation:√(60a)=√(2×2×3×5×a×a×a)=2a√(15a)

Answer:

A

Step-by-step explanation:

the equation go from a negative Y value, to positive. The answer is A because it goes from (-2,-2), towards (0,1) increasing the Y value by 3, and the X by 2

Answer:

B

Step-by-step explanation:

On the horizontal number line, -2.5 is located to the left of zero and 2.5 is located to the right of zero.

On the number line, the numbers left side of zero are all negative numbers, and the numbers right side of zero are all positive numbers.

Answer:

A is the answer.

Step-by-step explanation:

In option A, there are 9 red boxes and 3 blue boxes

If we simlify,

9 : 3 = 3 : 1 = 1 : 1/3

Hope you understand

Answer: Grid A

Step-by-step explanation:

The ratio red:blue is simplified to 1:1/3.

To make things easier, we can expand it so that both sides add up to 12(total number of squares in a grid).

We can multiply both sides by 9.

1 x 9= 9

1/3 x 9= 3

Now the ratio red:blue is 9:3, which adds up to 12.

Grid A is the only grid where there are 9 red squares and 3 blue squares.

Answer:

3x - 21 = 3(x + 7).

Step-by-step explanation:

3x - 21 = 3(x + 7)

3x - 21 = 3x + 21

3x - 3x = 21 + 21

0 = 42

Since the two are not equal, this equation has no solution.

3x - 21 = 3(x - 7)

3x - 21 = 3x - 21

3x - 3x = -21 + 21

0 = 0

Since the two are equal, this equation has infinitely many solutions.

3x - 21 = x - 7

2x = 14

x = 7

This equation has one solution.

Since there is only one choice that makes sense, the answer won't be all of the choices.

The answer is A. 3x - 21 = 3(x + 7).

Hope this helps!

Answer:

17.7

Step-by-step explanation:

Area of a triangle is 1/2×L×B

since a degree is given we are to multiply it with it and we are to use SIN

so 1/2×sin65×4.5×13.1

sin65= 0.6018

so 1/2×0.6018×4.5×13.1

=35.47/2

=17.7

The area of the triangle is 17.7 square inches option (A) 17.7 is correct.

In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

We know,

The area of the triangle:

A = ab(sinx)/2

a = 13.1 cm, b = 4.5 cm, x = 37 degrees

A = 13.1×4.5(sin37)/2

A = 29.475sin37

A = 17.7 square inches

Thus, the area of the triangle is 17.7 square inches option (A) 17.7 is correct.

Learn more about the triangle here:

brainly.com/question/25813512

#SPJ2

Answer: A: 3/2

Step-by-step explanation:

When we have a line that passes through the points (x1, y1) and (x2, y2), the slope of this line is:

s = (y2 - y1)/(x2 - x1)

In this graph we can see that the line passes through the points:

(0, - 3) and (2, 0)

Then the slope is:

s = (0 - (-3))/(2 -0) = 3/2

Then the correct option is A.

The gradient of the line shown above is  A:  [tex]\frac{3}{2}[/tex]

Slope of the line that passes through two points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is :

slope  [tex]=\frac{(y_2 - y_1)}{(x_2 - x_1)}[/tex]

Now, from the given graph we can see that the line passes through the points:

(0, - 3) and (2, 0)

The slope is:

[tex]s = \frac{(0 - (-3))}{(2 -0)} \\=\frac{3}{2}[/tex]

Therefore the correct option is A.

Learn more:https://brainly.com/question/10206962

Answer:

8.2

Step-by-step explanation:

Area of triangle is calculated by multiplying height to the base and that divided by two

20 × h ÷ 2 = 56^2

h = 5.6

The square length of CD is equal to sum of square length of height and base

6^2 + 5.6^2 = CD^2

CD = 8.2

Answer:

-2/3

Step-by-step explanation:

Step 1: Write out expression

1 2/3 - 2 1/3

Step 2: Convert to improper fractions

5/3 - 7/3

Step 3: Subtract

-2/3

Answer:

[tex]\frac{-2}{3}[/tex]

Step-by-step explanation:

[tex]1 \frac{2}{3} - 2\frac{1}{3} \\\\[/tex]

[tex]\frac{5}{3} - \frac{7}{3} = \frac{-2}{3}[/tex]

Hope this helps! :)

Answer: Option  A, & B

(A) b = 5 StartRoot 3 EndRoot    b= 5[tex]\sqrt{} 3[/tex]

(B) b = Negative 5 StartRoot 5 Endroot  b= -5[tex]\sqrt{} 3[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

nth term = (n-1)th term + common difference

d = -10

a₁ = 3

a₂ = a₁ + d = 3 + (-10) = -7

a₃ = a₂ + d = -7 + (-10) = -17

a₄ = a₃ + d = -17 + (-10) = -27

a₅ =a₄ + d = -27 + (-10) = -37

a₆ = a₅ + d = -37 + (-10) = -47

First six terms: 3 , -7 , -17, -27, -37 , -47

Answer:

the answer is 8x^2+xy-15y^2

Answer:

10x = 10.

Step-by-step explanation:

The equation will contain the  x variable only.

Answer:

Step-by-step explanation:

La vaca

El pato

Answer:

L

Step-by-step explanation:

You need to find a point with a large x-coordinate and small y-coordinate or the reverse. Look at point L, (8, 1).

8 - 1 = 7

That is the largest difference between the coordinates of the points shown in the graph.

Answer: y = 6

Step-by-step explanation:

A square's area can be done by using s^2, where s is y in this case.  Because there are 5 squares, the area of the figure is 5y^2.  Because the area is also 180cm, 5y^2=180.

Then divide both sides of the equation by 5 to get y^2 = 36.  Then square root both sides of the equation to get y = 6.

Hope it helps <3

Answer:

192.154 ft²

Step-by-step explanation:

Area of a Hexagon Formula: A = 3√3/2(x)²

x is the side of the hexagon. We simply plug in 8.6 in for x:

A = 3√3/2(8.6)²

A = 3√3/2(73.96)

A = 221.88√3/2

A = 110.94√3

A = 192.154

Answer:

~192.2

Step-by-step explanation:

The area of a regular hexagon is calculated by:

A = [3*sqrt(3)/2]x side x side = 3*sqrt(3)/2 x 8.6^2 = ~192.2

Answer:

$5522.43

Step-by-step explanation:

The amount in an account for a principal P saved at compound interest for a duration of n years compounded with period k at an annual interest rate of r% is calculated using the formula:

[tex]A(n)=P(1+\frac{r}{k})^{nk}[/tex]

In this case:

Therefore, the amount is:

[tex]A(n)=5000(1+\frac{0.05}{4})^{4*2}\\=5000(1+0.0125)^{8}\\=5000(1.0125)^{8}\\=\$5522.43[/tex]

The amount of money in the account at the end of the two years is $5522.43.

Answer:

a) Yes. y=-4x+2. b) No.

Step-by-step explanation:

a) For every section of the graph as x goes up 1, y does down 4. It has a proportional relationship and you can use the rise and run found to do rise/run and get a slope of -4 and when x is at 0, y is at 2, giving you a y-intercept of 2.

b) There is no proportional relationship using addition and subtraction so the graphed line would not be straight.

using y2-y1 over x2-x1 the first table is 10-14 over -2--3 which would be -4 over 1

The next one would be 4 over -1  

Not 100 percent sure

Answer:

0.444

Step-by-step explanation:

The total number of ties is 9, and there are 4 red ones.

So, the probability of choosing a red tie is 4/9.

4/9 = 0.444 as a decimal

Answer:

The 2 pink ones

explanation: I got this right

The two pink diagrams in the given figure are parallelograms.

A unique kind of parallelogram created with parallel lines is called a parallelogram.

A parallelogram can have whatever angle between its neighboring sides, but for it to be a parallelogram, it's opposite sides must be parallel. If a quadrilateral's opposite sides are parallel and congruent, it will be a parallelogram.

So a rectangle both with pairs of separate sides being parallel and equal is known as a parallelogram.

The word "parallelogram" is a translation of the Greek term "parallelogrammon," which means "confined by line segments." As a result, a quadrilateral that is surrounded by parallel lines is called a parallelogram.

To know more about Parallelogram:

https://brainly.com/question/19187448

#SPJ2

Answer:

Justine needs to score a 100 to have an average of 93%.

Step-by-step explanation:

Given:

Justin scores 85, 92 and 95 on his science tests.

To find:

The score that he needs to earn to have an average of 93%?

Solution:

Let the score in next science test = [tex]x[/tex]

Formula for Average/Arithmetic Mean is given as:

[tex]Average = \dfrac{\text{Sum of all observations}}{\text{Total number of observations}}[/tex]

Here we have 4 number of total observations and average is 93%.

Now, put all the values here:

[tex]93 = \dfrac{85 +92+ 95+x}{4}\\\Rightarrow 93\times 4=85 +92+ 95+x\\\Rightarrow 372=272+x\\\Rightarrow x = 372-272\\\Rightarrow x = 100[/tex]

So, Justin needs to score 100 to have an average of 93%.

The probability of two non-overlapping events A or B happening is:

p(A or B) = p(A) + p(B)

if you add an image of the question you are trying to answer, I can explain it better.

Answer:

If events A and B are non-overlapping events.

P(A or B) = P(A) + P(B)

To find the probability that one or the other occurs, you add the probability of both events occurring together.

Answer:

p(t) = 5 × [tex]2^{t}[/tex]

Step-by-step explanation:

Use the points on the curve to evaluate a and b

Using (0, 5 ), then

5 = a[tex]b^{0}[/tex] = a × 1 ( [tex]b^{0}[/tex] = 1 ), thus

a = 5

p(t) = 5[tex]b^{t}[/tex]

Using (1, 10 ), then

10 = 5[tex]b^{1}[/tex] = 5b ( divide both sides by 5 )

b = 2

Thus

p(t) = 5 [tex]2^{t}[/tex]

The exponential function  is

[tex]p(t) = 5(2^{t})[/tex]

An exponential function is defined by the formula [tex]f(x) = ab^{x}[/tex] where the input variable x occurs as an exponent. The exponential curve depends on the exponential function and it depends on the value of the x.

Where,

b>0 and b is not equal to 1.

x is any real number.

If the variable is negative, the function is undefined for -1 < x < 1.

Here,

“x” is a variable

“b” is a constant, which is the base of the function.

and a is also constant.

According to the given question

We have an exponential function

[tex]p(t) = ab^{t} ...(i)[/tex]

And from the given graph,  the two points (0, 5) and (1, 10). So these points must satisfy the exponential function (i)

Substitute  t = 0 and p(t) = 5 in (i)

⇒[tex]5 = a[/tex] or a = 5       ( because,   [tex]b^{0} = 1[/tex] )

Again, substitute a = 5, t = 1 and p(t) = 10 in exponential function [tex]p(t) = ab^{t}[/tex]

⇒ 10 = 5[tex]b^{1}[/tex]

⇒ b = 2

Therefore, the exponential function p(t) is given by

[tex]p(t) = 5(2^{t})[/tex]

Learn more about exponential function here:

https://brainly.com/question/11487261

#SPJ2