A new computer loses 1/3 of its value every year. Which graph- a, b, c, or d – could represent the relationship between the year and the computers value? Justify your choice.

Answer:

sin D = 28/53

Step-by-step explanation:

sin D = opp/hyp

For angle D, the opposite leg is FE with length 28.

The hypotenuse is DE with length 53.

sin D = 28/53

Answer: sinD=28/53.

Step-by-step explanation:

[tex]sinD=\frac{FE}{DE} =\frac{28}{53} .[/tex]

Using the given linear function of best-fit, the most likely approximate height of the plant after 8 weeks would be of 7.4 centimeters.

A linear function is modeled by:

y = mx + b

In which:

The line of best-fit goes through points (0,1) and (5,5). Point (0,1) means that the y-intercept is of b = 1. The slope is given as follows:

m = (5 - 1)/(5 - 0) = 4/5 = 0.8.

Hence the equation that gives the approximate height after x weeks is:

y = 0.8x + 1.

After 8 weeks, the expected height is:

y = 0.8 x 8 + 1 = 6.4 + 1 = 7.4 centimeters.

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Answer:

72

Step-by-step explanation:

9×8 = 72 which means that 72 is a multiple of 9 lying between 60 and 80.

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Answer:

24 unit²

Step-by-step explanation:

use Pythagoras to calculate the height of triangle

which gives you 6 √100-64

then half hight x base

Answer: 11

Step-by-step explanation:

By the secant-secant theorem,

[tex]5(5+7)=(JK)(15)\\\\60=(JK)(15)\\\\JK=4\\\\\implies IJ=15-4=11[/tex]

the average cost per class is $14.

Think of this as an algebraic equation, which would be expressed as 40+10s=total cost

The (s) would be the number of spinning classes you decide to take.

Therefore to find the average cost of the class, you would plug in 10 classes for s.

This brings the total cost to $140 dollars.

To find the average you must divide this cost by the number of classes you took.

This will be the price per class, which is $14.

Statement of the equality of two expressions formulated by way of making use of a set of variables the algebraic operations, particularly, addition, subtraction, multiplication, department, elevating to energy, and extraction of a root.

In arithmetic, an algebraic equation or polynomial equation is an equation of the form P=0 where P is a polynomial with coefficients in some area, regularly the field of rational numbers.

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Okay, first you need to understand that function of x, (or f(x)) is y.

We now plug in x.

f(-2) or y=-2(3)+(2•2)+4(-2)+8
f(-2)=-6+4+-8+8

f(-2)=-2

When x=-2, y=-2. Lets plug it back in to see if its true.

-2=-2(3) + (2x2) + (4(-2)) + 8

-2 = -6 + 4 + -8 + 8

-2 = -2.

Heart if it helps, comment if you need help.

The explicit formula for the sequence is an = 5 + (n - 1)(-4)

The formula for calculating the nth term of an arithmetic sequence is expressed as:

an = a + (n - 1)d

where

a is the first term

d is the common difference

n is the number of terms

From the given data

a = 5

a2 = a1 - 4

a2 = 5 - 4

a2. = 1

d = a2 - a

d = 1 - 5

d = -4

Substitute

an = 5 + (n - 1)(-4)

Hence the explicit formula for the sequence is an = 5 + (n - 1)(-4)

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Step-by-step explanation:

1. multiply by 8

2. divide by 2

Answer:

4096, 125

Step-by-step explanation:

In the first sequence, notice that each term increases by a factor of 8 (multiplied by 8 each time). Therefore, the fourth term would be 64*8 = 512, so the fifth term is 512*8 = 4096.

In the second sequence, each term decreases by a factor of 2 (divided by 2 each time). The fourth term would be 500/2 = 250, so the fifth term is 250/2 = 125.

Answer:

14

Step-by-step explanation:

when two lines intersect, the opposite angles are equal: vertical angles rule

this means that 88 and 6x + 4 are the same, therefore we get the equation 6x+4 = 88.

subtracting 4 from both sides, we find that 6x = 84

we get our final answer by dividing each side of the equation by 6:

x = 14

The position of point L is halfway between points K and L

The line segment is given as:

JK

This means that the endpoints of the line are:

J and K

Also, we have:

JL = LK

So, we have:

JK = JL + LK

Substitute JL = LK

JK = JL + JL

This gives

JK = 2JL

Divide by 2

JL = 1/2 JK

Hence, the position of point L is halfway between points K and L

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can I get your number personally

Answer:

[tex]a = 18 \sqrt{3} [/tex]

[tex]c = 36[/tex]

Variable is a data characteristic that stands for a value that changes or varies over time.

A variable is any characteristics, number, or quantity that can be measured or counted. A variable may also be called a data item. Age, sex, business income and expenses, country of birth, capital expenditure, class grades, eye colour and vehicle type are examples of variables.

Information is that portion of the content of a signal or message which conveys meaning. (so this is the wrong option)

A fact is a quantitative piece of information - such as a sale or a download. (so this is also the wrong option)

Hence, a Variable is a data characteristic that stands for a value that changes or varies over time.

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The two triangles are similar by SSA similarity. Option B is correct.

A triangle is a three-sided polygon. It is one of the most fundamental geometric forms.

If the ratio of the sides are same as well as the one angle is common between the two triangles then in that condition there will be SSA similarity.

From the triangle ABC and DEC

The ratio of the sides is;

[tex]\rm \frac{10}{12}= \frac{8}{9.6} \\\\ \frac{5}{6}= \frac{5}{6}[/tex]

One angle c is common in the two triangles.

The two triangles are similar by SSA similarity.

Hence, option B is correct.

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The distance travelled by the train with constant speed of r miles will be 3r.

We know the formula of distance linking the speed and the time.

Distance = speed × time

Substituting the given values to get:

Distance = r × 3

Distance = 3r

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The coordinates of D is (-8 , -16 )

Coordinates are the location of a point on the x-y plane.

It is given that the coordinates of C are  (4,4)

the midpoint of CD is at M(-2,-6)

The distance between D to the midpoint is equal to distance between C and the mid point M .

The distance between C and M is

( -2 - 4 , -6 -4 )

( -6 , -10)

Adding this to the mid point will give the location of D

(-2 -6 , -6 , -10 )

(-8 , -16 )

Therefore the coordinates of D is (-8 , -16 ).

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Answer:

-8, -16

Step-by-step explanation:

got it right on the est.

Answer:

The two numbers are:

8 and 13

Step-by-step explanation:

a = 2b - 3       Eq. 1

a + b = 21        Eq. 2

Replacing Eq. 1 in Eq. 2:

(2b-3) + b = 21

3b - 3 = 21

3b = 21 + 3

3b = 24

b = 24/3

b = 8

from Eq. 1

a = 2*8 - 3

a = 16 - 3

a = 13

Check:

From Eq. 2:

a + b = 21

13 + 8 = 21

The number of quasi-prime numbers that are less than 500 = 92

Quasi-prime numbers are those numbers that are also known as semi prime numbers which can not be divided by 2,7 or 11.

They are often derived from prime numbers which are 95 in number from 2 - 499. ( less than 500).

The 95 prime numbers - 3 numbers( such as 2,7 or 11) = 92

Therefore, the number of quasi-prime numbers that are less than 500 = 92

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Answer:

A

Step-by-step explanation:

given a quadratic function in standard form

y = ax² + bx + c (a ≠ 0 ) then the x- coordinate of the vertex is

x = - [tex]\frac{b}{2a}[/tex]

y = 2x² + 8x + 1 ← is in standard form

with a = 2 , b = 8 , then

x = - [tex]\frac{8}{4}[/tex] = - 2

substitute x = - 2 into the equation for corresponding y- coordinate

y = 2(- 2)² + 8(- 2) + 1 = 2(4) - 16 + 1 = 8 - 16 + 1 = - 7

vertex = (- 2, - 7 )

The radius of the circular cross-section of the can of soup is; 3.4cm.

Since, the can has a height of 10cm and the volume of the can is 363cm³, it follows that the area of the circular cross-section can be evaluated as;

A = 363/10 = 36.3cm²

Hence, it follows that the radius can be evaluated as follows;

36.3 = 3.14 × r²

r² = 36.3/3.14

r² = 11.56

r = 3.4cm

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Answer:

Step-by-step explanation:

Is there a graph or more information?

- Please see the attached picture for full solution!:)

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Answer:

$63422.42

Step-by-step explanation:

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Answer:

Medians: Using the methods previously described, the medians of each

group were found to be: Low: ( , ) Medium: ( . ) High: ( . ) Use these points to find the equation of the median fit regression line. Slope: What is the slope of the median regression line? m = Jig—y&amp;quot; = (Round to the nearest H—xL hundredth.) Y-lntercept: What is the y-intercept of the median regression line? kW _ 3 b _ (33—(—U.01)(2300))+(27—(—0.01)(3350))+(19—(—U.01)(4400)) _ 3 m (Round to the nearest hundredth.) Regression Line: The equation of the median regression line isy= x+

First, we multiply the numbers : 10 x 5 = 50

Now, we multiply r squared to r^6. To do this, we add the index numbers together : r^2 x r^6 = r^(2+6) = r^8

So, the answer is 50r^8, or b.

Answer:

96 ft^2.

Step-by-step explanation:

Area of shaded region = area of the original rectangle - area of the one removed

= 8 * 16 - 8*4

= 128 - 32

= 96

Answer:

[tex] \pink{ \rule{1pt}{3000000pt}}[/tex][tex] \red{ \rule{1pt}{3000000pt}}[/tex][tex] \purple{ \rule{1pt}{3000000pt}}[/tex]

The reason that this represent in Mikal’s proof regarding the triangle is SAS.

It should be noted that a triangle is a shape that has three sides and angles.

The SAS implies the side angle side. It shows that any two sides and angles that are included between the sides of an angle are equal to the other two sides.

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Answer:

AAS

Step-by-step explanation:

2022 edge