What is the sum of the series *picture attached*

Answer:

A. 85

Step-by-step explanation:

SInce nickels are worth 5 cents, the number of pennies must end with an 8 or a 3 in order for the total to end with a 3 ($9.83)

Answer:

y ≤ (1/2)x + 2

Step-by-step explanation:

Find the equation of the solid line.  It is immediately evident that the y-intercept is (0, 2).  The line also passes through (-4, 0).  Starting at (-4, 0), x (the run) increases by 4 to 0 and y (the rise) increases from 0 to 2.  Thus, the slope of this line is m = rise / run = 2/4, or m = 1/2.

Thus the equation of the line is y ≤ (1/2)x + 2.

Answer:

Whenever  [tex]a\leq 5[/tex].

Step-by-step explanation:

We can play around with some numbers and develop some rules for this equation.

Note that the number 5 and -5 are used here, so let's try using 5 as a.

[tex]|5-5| = 5-5\\|0| = 0\\0 = 0[/tex]

So 5 works. Let's try a random number like 3.

[tex]|3-5| = 5-3\\|-2| = 2\\2 = 2[/tex]

Okay, with this info we know that we might be able to develop one rule that [tex]a<5[/tex]. Just to test, let's try 0, -3, and -5.

[tex]|0-5| = 5-0\\|-5| = 5\\5 = 5[/tex]

Zero works.

[tex]|-3 - 5| = 5-(-3)\\|-8| = 8\\8 = 8[/tex]

-3 works.

[tex]|-5 -5| = 5-(-5)\\|-10| = 10\\10 = 10[/tex]

-5 works. Now, this might stop here making the equation [tex]-5 \geq a \leq 5[/tex], so let's test a number outside of -5 - say -20.

[tex]|-20 - 5| = 5-(-20)\\|-25| = 25\\25 = 25[/tex]

Yes! This works, so a works for this equation as long as [tex]a \leq 5[/tex].

Hope this helped!

Answer:

A, B, C

Step-by-step explanation:

4 - (-5) + 0

4 - (-5) = 4 + 5 (because a negative + negative = positive)

4 + 5 = 9

a, b and c all equal 9

hopefully this helped you!! :3

The answer is in the picture

Answer:

Find it in the explanation

Step-by-step explanation:

Equate the two solutions.

2x+3y=6 is exactly half of -4x+3y=12, so multiply 2x+3y=6 by 2.

Now we get

4x+6y=12 and

-4x+3y=12

Here what operation you use is your choice, but because I see a positive 4x and a negative 4x down below, I'm gonna use addition to cancel out the x.

Adding these two equations together, I get:

9y=24

y=24/9

in fraction form y= 2 and 2 thirds.

Plug that in any of the equations and solve for the value of x, which will be -1

Therefore, the coordinates are (-1, 2 and 2/3)

Answer:

The answer is x= -1/2 and y= 7/3 or 2whole 1/3.

hope it helps..

Example: we have a 2 by 3 rectangle with area of 2*3 = 6. If we cut the first dimension in half, then we have a 1 by 3 rectangle that has area 1*3 = 3. The area has decreased. To keep the area the same, we would have to increase the other dimension some specific amount.

The area of the figure decreases when the dimension is decreased

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the figure be represented as ABCD

where ABCD is a rectangle

Now , the measures of the sides of the rectangle be

The length of the rectangle = L

The width of the rectangle = W

And , Area of Rectangle = Length x Width

On simplifying , we get

Area of rectangle = LW

when the dimension of one of the unit is decreased , we get

when L = L/2

Area of rectangle = ( LW) / 2

So , the area of the figure is decreased bu ( 1/2 )

Hence , the area of the figure decreases

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▹ Answer

24

▹ Step-by-Step Explanation

2³ + 4²

= 2 * 2 * 2 → 8

= 4 * 4 → 16

8 + 16 = 24

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

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Answer:

24

Step-by-step explanation:

2³ + 4²

Solve for exponents first.

2³ = 2 × 2 × 2 = 8

4² = 4 × 4 = 16

8 + 16

Addition.

= 24

Answer:

Vinegar: 40 milliliters

Italian dressing: 280 milliliters

Step-by-step explanation:

I jus took the test :)

Answer:

its not a right triangle

Step-by-step explanation:

Answer:

15.62 = x

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2

10 ^2 + 12^2 = x^2

100 +144 = x^2

244 = x^2

Take the square root of each side

sqrt(244) = sqrt(x^2)

15.62049935 = x

Rounding to the nearest hundredth

15.62 = x

Answer:

15.62

Step-by-step explanation:

We can use the Pythagorean Theorem.

10^2+12^2=c^2

100+144=c^2

244=c^2

15.62=c, or x=15.62

Answer:

1/2 (or) 0.50 (or) 50%

Step-by-step explanation:

10 out of 20 wedges are worth more than 10.

10/20 = 1/2 (or) 0.50 (or) 50%

Answer:

0.75

Step-by-step explanation:

The correct option is A. The equation in point-slope form for the line perpendicular to y = -2x + 8 and passing through (-3, 9) is: y - 9 = 1/2(x + 3).

To find the equation of a line perpendicular to y = -2x + 8 that passes through the point (-3, 9), we need to determine the slope of the perpendicular line.

The given equation is in slope-intercept form, y = mx + b, where m represents the slope. In this case, the slope of the given line is -2.

Since the perpendicular line has a slope that is the negative reciprocal of -2, we can determine its slope as 1/2.

Now that we have the slope (1/2) and a point (-3, 9) on the line, we can use the point-slope form of a line to write the equation:

y - y₁ = m(x - x₁)

where (x₁, y₁) is the given point and m is the slope.

Plugging in the values, we get:

y - 9 = 1/2(x - (-3))

Simplifying:

y - 9 = 1/2(x + 3)

Rearranging to match the given options:

y - 9 = 1/2(x) + 3/2

The equation in point-slope form for the line perpendicular to y = -2x + 8 and passing through (-3, 9) is:

y - 9 = 1/2(x + 3)

Therefore, the correct option is A.

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Complete question is below

Identify an equation in point-slope form for the line perpendicular to

y=-2x+ 8 that passes through (-3,9).

A. y - 9 = 1/2(x+3)

B. y+3 = 3(x-9)

C. y - 9 = (x + 2)

D. y + 9 = 1/2(x – 3)

Answer:

1) A bar diagram with 2 shaded squares and 8 unshaded squares.

Step-by-step explanation:

There are 100 students (40+15+20+25).

20 signed up for Track and Field.

20 out of 100 would equate to 20/100, or 2/10, or:

1) A bar diagram with 2 shaded squares and 8 unshaded squares.

Answer:

a

Step-by-step explanation:

the two squares are shaded and eight are not

Answer:

d. y= 5x+18

Step-by-step explanation:

y=mx+b is slope intercept form

Now we plug in the information given to us which is slope(m) is 5 and a point (x,y) which is (2,28).

So by substituting we get 28=5(2)+b

simplify to 28=10+b and when we subtract 10 from both sides to isolate 'b', we get that b = 18.

So now we use the values of slope(m) and the y-intercept(b) to write the equation:

y=5x+18

Hey there! I'm happy to help!

Slope-intercept form is a way to write the equation of a line, and it is very useful. It is y=mx+b. This equation shows how y is related to x on a line. The m represents the slope, which is the incline of the line. The b represents the y-intercept, or where the line hits the y-axis.

If you find any value for x and plug it into the equation, you will figure out what y-value it matches on the line. If you had the equation you could draw the line by plugging in x-values and plotting points and connecting the dots!

Anyways, we have a slope of 5. This means that so far our equation looks like y=5x+b. It does not tell us what the y-intercept is, so we need to figure it out!

If we have the values for m, x, and b, we can solve for y. Well, we don't have b, but we do have values for y, x, and m, so we should be able to solve for b!

We will plug in our point (2,28) and solve for b!

28=5(2)+b

28=10+b

b=18

Our y-intercept is 18.

So, we can write this equation in slope-intercept form for the line that follows the condition of slope 5 and passing through (2,28) below.

y=5x+18

Therefore, our answer is d. 5x+18.

Now you can find the equation of a line given the slope and a point! Have a wonderful day! :D

Answer:    [tex]f'(1)=\dfrac{4}{2y+1}[/tex]

Step-by-step explanation:

To find the tangent, you need to find the derivative with respect to x.

Then substitute x = 1 into the derivative.

Given:         0 = 2x² - xy - y²

Derivative:  0 = 4x - y' - 2yy'

Solve for y': 2yy' + y' = 4x

                   y'(2y + 1) = 4x

                   [tex]y'=\dfrac{4x}{2y+1}[/tex]

[tex]\text{Substitute x = 1:}\quad y'(1)=\dfrac{4}{2y+1}[/tex]

Answer:

The temperature order are;

(b) 96.62 K = (d) 96.62 K > (a) 48.31 K = (c) 48.31 K = (e) 48.31 K =  (f) 48.31 K

Arrangement in order from highest to lowest and alphabetically gives;

(b) ↔ (d) → (a)↔ (c)↔ (e)↔ (f)

Step-by-step explanation:

From the universal gas equation

P×V = N×k×T

Where:

P = Pressure

V = Volume

N = Number of molecules

k = Boltzmann constant = 1.38 × 10⁻²³ J/K

T = temperature

Therefore;

[tex]T =\dfrac{P \times V}{k \times N}[/tex]

Which gives;

(a) When P = 100 kPa = 100,000 Pa, V = 4 L = 0.004 m³, N = 6 × 10²³, we have

100000*0.004/(6*10^(23)*1.38*10^(-23)) = 48.31 K

(b) When P = 200 kPa = 200,000 Pa, V = 4 L = 0.004 m³, N = 6 × 10²³, we have

200000*0.004/(6*10^(23)*1.38*10^(-23)) = 96.62 K

(c) When P = 50 kPa = 50,000 Pa, V = 8 L = 0.008 m³, N = 6 × 10²³, we have

50000*0.008/(6*10^(23)*1.38*10^(-23)) = 48.31 K

(d) When P = 100 kPa = 100,000 Pa, V = 4 L = 0.004 m³, N = 3 × 10²³, we have

100000*0.004/(3*10^(23)*1.38*10^(-23)) = 96.62 K

(e) When P = 100 kPa = 100,000 Pa, V = 2 L = 0.002 m³, N = 3 × 10²³, we have

100000*0.002/(3*10^(23)*1.38*10^(-23)) = 48.31 K

(f) When P = 50 kPa = 50,000 Pa, V = 4 L = 0.004 m³, N = 3 × 10²³, we have

50000*0.004/(3*10^(23)*1.38*10^(-23)) = 48.31 K

Answer: I'm sure it describes experimental events? Is that an option? Because he's experimenting by flipping the coin. If not, just contact me! :)

Here and happy to help.

Answer:

A =200.96 ft^2

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

The radius is 8

A = pi 8^2

A = 64 pi

Letting pi = 3.14

A = 64 ( 3.14)

A =200.96 ft^2

Answer:

[tex]\boxed{\mathrm{200.96 \: feet^2}}[/tex]

Step-by-step explanation:

Apply formula for the area of a circle.

[tex]area=\pi r^2[/tex]

The radius is 8 ft.

[tex]A=\pi (8)^2[/tex]

[tex]A=64\pi[/tex]

Take [tex]\pi[/tex] as 3.14

[tex]A=64(3.14)[/tex]

[tex]A=200.96[/tex]

Answer:

D) 2.0

Step-by-step explanation:

We know that √2 = 1.414213562 ≈ 1.4, π ≈ 3.14, and √5 = 2.236067978 ≈ 2.2 . Next, I found out that √2π = 4.442882938 which rounds to 4.4. Then, I found out that 4.4 ÷ √5 equals to 1.96773982. So, if we round our answer to the nearest whole number, we will get 2.

Answer:

[tex]\boxed{Option \ D}[/tex]

Step-by-step explanation:

[tex]\frac{\sqrt{2} \pi }{\sqrt{5} }[/tex]

Where [tex]\sqrt{2}[/tex] = 1.4 , π = 3.14 and [tex]\sqrt{5}[/tex] = 2.24

Plugging in the values

=> [tex]\frac{(1.4)(3.14)}{2.24}[/tex]

=> 4.396/2.24

=> 1.9

≈ 2.0

Answer:

First part) measuring each plant at the same time each week

Second part) centimeters and the same

Step-by-step explanation:

Answer:

These heights could have been measured by measuring each plant at the same time each week.

The unit of measure for the heights is centimeters. The units must be the same for each data point in order to compare the rates of growth.

Answer: NO

Step-by-step explanation:

The functions that models the height of the ball is given as

h(t) = -5t2 + 40t + 100

Where

a = -5, b = 40, c = 100

The time the ball will reach the maximum height will be the vertex of the parabola. At the line of symmetry, the time t will be:

t = -b/2a

Substitute b and a into the formula above.

t = - 40 / -5 = 8

Substitute 8 for t in the function f(t)

h(t) = - 5(8)^2 + 40(8) + 100

h(t) = -5(64) + 40(8) + 100

Open the bracket

h(t) = -320 + 320 + 100

h(t) = 100

The maximum height of the ball is 100m

Given that the power lines is 185 metres above the ground. The golf ball will therefore not hit power lines because the maximum height the ball can go is 100 metres

Answer: 109.1 degrees

Step-by-step explanation:

To find the angle between the given vectors, we will use the formula below:

Cos(θ) = (U.V)/ |U|.|V|

Where

U = 13i - 8j

V = 2i + 9j

U.V = (2x13) + (-8×9)

U.V = 26 - 72

U.V = - 46

|U| = sqrt ( 13^2 + 8^2)

= sqrt ( 233) = 15.264

|V| = sqrt( 2^2 + 9^2)

= sqrt ( 85 ) = 9.22

Substitute all the value of the parameters into the formula

Cos ø = -46 / (15.3 × 9.2)

Cos ø = - 46 / 140.72

Cos Ø = - 32687

Find the cos inverse of the value

Ø = cos^-1( -32687)

Ø = 109.079 degrees

Therefore, the angle between the given vectors to the nearest tenth of a degree is 109.1 degrees

Answer:

x ≤ -1

Step-by-step explanation:

The domain is the x-values.  Since the graph shows all numbers up to -1, the domain would be all numbers less than or equal to -1:

x ≤ -1

Answer:

ab² - a²b

Step-by-step explanation:

a²b⁴ - b²a⁴ can be factored as a²b²(b² - a²) which becomes a²b²(b + a)(b - a). Since the numerator and denominator both have (a + b) and ab the final answer is ab(b - a) = ab² - a²b.

Complete question :

In its first year of operations, Roma Company reports the following. Earned revenues of $53,000 ($45,000 cash received from customers). Incurred expenses of $29,500 ($23,050 cash paid toward them). Prepaid $8,750 cash for costs that will not be expensed until next year. calculate the first year's net income under both the cash basis and the accrual basis of accounting.

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Earned revenue = $53,000

Cash received from customers = $45000

Incurred expenses = $29,500

Cash paid towards incurred expenses = $23,050

Cash which will not be expensed till next year = $8,750

Cash Accounting:

Cash received $45,000

Expenses ($23,050 + $8750) = $31,800

Net Income $(45,000 - 31,800) = $13,200

Accrual Accounting :

Revenue earned $53,000

Expenses incurred $29,500

Net income $(53,000 - 29,500) = $23500

Answer:

[tex]\boxed{10>-15}[/tex]

Step-by-step explanation:

[tex]-2<3[/tex]

Multiply each side by -5.

[tex]-2 \times -5 <3 \times -5[/tex]

Switch signs when multiplying or dividing by a negative integer.

[tex]10>-15[/tex]

Answer:

10 > -15

Step-by-step explanation:

-2 < 3

We want to multiply each side by -5 and we want to see what happens:

-2 * -5 < 3 * -5

= 10 < -15

This is a wrong inequality as 10 is ahead of -15 on the number line.

Answer:

Statement 1. P

Reason 1. Theorem: The measure of an external angle of a triangle is equal to the sum of the measures of the remote interior angles.

Statement 2. 132 = 3x + 54

Statement 3. x = 26

Answer:

Marilyn likes classical

Donna and Valr likes either pop or hiphop

Answer:

here the answer is down below

Step-by-step explanation:

Answer:

A (x+2)(x^2-2x+4)

Step-by-step explanation:

just took test