2Square the binomial: (8y - 5)

Answer:

3.34.

Step-by-step explanation:

4.2 * 0.2 + 2.5

= 0.84 + 2.5

= 3.34.

Answer:

3.34

Step-by-step explanation:

the product is 4.2×0.2=0.84

add is 2.5 + 0.84=3.34

Answer:

2

Step-by-step explanation:

( 3x + 6 ) ( 4x - 8 ) = 0

( 3x + 6 ) = 0 / ( 4x - 8 )

3x + 6 = 0

3x = 6

x = 6 / 3

x = 2

Answer:

(f - g)(x) = -7x - 3

Step-by-step explanation:

Step 1: Define

f(x) = -3x - 5

g(x) = 4x - 2

Step 2: Find (f - g)(x)

(f - g)(x) = -3x - 5 - (4x - 2)

(f - g)(x) = -3x - 5 - 4x + 2

(f - g)(x) = -7x - 3

The purchasing power in five years will be $15,476.

To predict the purchasing power in five years, we can substitute the value of X as 5 into the equation y = 20000(0.95)^X.

Plugging in X = 5, we have:

\(y = 20000(0.95)^5\)

Calculating the expression, we find:

\(y ≈ 20000(0.774)\)

Simplifying further, we get:

\(y ≈ 15480\)

Rounding the result to the nearest dollar, the predicted purchasing power in five years would be approximately $15,480.

Therefore, the closest option to the predicted purchasing power in five years is $15,476.

So the correct answer is:

$15,476.

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Rounding to the nearest dollar, the predicted purchasing power in five years is approximately $15,480.

To predict the purchasing power in five years using the given equation, we substitute the value of x (representing the number of years) as 5 and calculate the result.

The equation provided is: y = 20000(0.95)^x

Substituting x = 5 into the equation, we have:

y = 20000(0.95)⁵

Now, let's calculate the result:

y ≈ 20000(0.95)⁵

≈ 20000(0.774)

y ≈ 20000(0.774)

≈ 15,480

This means that, according to the given equation, the purchasing power of $20,000, with an inflation rate of five percent, would be predicted to be approximately $15,480 after five years.

By changing the value of x (representing the number of years) to 5, we can use the preceding equation to forecast the buying power in five years.

The example equation is: y = 20000(0.95)^x

When x = 5 is substituted into the equation, we get y = 20000(0.95).⁵

Let's now compute the outcome:

y ≈ 20000(0.95)⁵ ≈ 20000(0.774)

y ≈ 20000(0.774) ≈ 15,480

This indicates that based on the equation, after five years, the purchasing power of $20,000 would be estimated to be around $15,480 with a five percent inflation rate.

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Answer:

To one decimal place,

y = 16.3 m

Step-by-step explanation:

Using SOHCAHTOA,

In this case we need to use CAH,

WE know the angle = 25 and the hypotenuse H = 18,

so,

y = adjacent

\(cos(angle) = y/H\\y = (18)(cos(25))\\y = 16.3135\\y = 16.3\)

Answer: 16.3 in.

Step-by-step explanation:

use SOH CAH TOA

cos x = adj/hyp

cos 25  = y/18

18 cos 25  = y

y= 16.3

It is proved that, 15th term = a+14d = 0.

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

For instance, the sequence 5, 7, 9, 11, 13, 15.. . is an arithmetic progression with a common difference of 2.

The nth term of AP : a_n = a + (n – 1) × d

here, we have,

If 5 times the 5th term of an AP is equal to 10 times the 10th term

let, 1st term = a

common difference = d

so, we get,

5(a+4d) = 10(a+9d)

5a+70d=0

a+14d=0

we know,

15th term = a+14d

Hence, It is proved that, 15th term = a+14d = 0.

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Answer:

give a thanks first and then ill tell you

Step-by-step explanation:

Answer:

Maybe it's D) or c) if not i'm du.mb and sorry

Step-by-step explanation:

Answer:

1. B

2. D

3. E

4. C

5. A

6. F

Answer:

Hey, I think you've done this already!

Step-by-step explanation:

Answer:

brainliest

Step-by-step explanation:

Answer:

7/10

Step-by-step explanation:

If you have 10 sweets

Your brother eats 3

You eat 4

3 + 4 = 7

7 out of ten = 7/10

So therefore the answer is 7/10

Answer:

7/10 (seven tenth)

Step-by-step explanation:

If 7 out of 10 sweets were eaten, then 7/10 of the sweets are gone.

Basically the way you do it, is add the amount of sweets you two ate together, which is 3 + 4 = 7 and there are 10 sweets in all, that's 7/10 of the sweets eaten all together.

Answer:

A square pyramid has 5 faces: 1 square base and 4 triangular faces.

The area of the base is:

A = s^2

where s is the length of the base edge.

In this case, s = 1 m, so:

A = 1^2 = 1 m^2

The area of each triangular face is:

A = 1/2 * b * h

where b is the base of the triangle (which is equal to the length of one side of the square base) and h is the height of the triangle (which is given as 1 m).

In this case, b = 1 m and h = 1 m, so:

A = 1/2 * 1 * 1 = 0.5 m^2

The total surface area of the pyramid is the sum of the area of the base and the area of the four triangular faces:

SA = A_base + 4 * A_triangles

SA = 1 + 4(0.5)

SA = 1 + 2

SA = 3 m^2

Therefore, the surface area of the pyramid is 3 square meters.

Exp prob (red)   = 24 / 60  =  4 / 10   = 2/5

Theoretical prob (red)  = (1/2)

Exp prob (blue)   =  14 / 60  =  7 / 30

Theoretical prob (blue)  = 1/6

Exp prob ( yellow)  =  22/ 60  = 11/30

Theoretical prob ( yellow)  =   2/6  =  1/3

Answer:

Experimental probability:experimental probability is when you actually experiment to see the results of a real life problemExample:There is a coin and you decide to toss it to see what were the results. Say you toss it 10 times but it lads on tails only 3 times but head on 7 times. So the experimental probability for tails is 3/10 and for heads it is 7/10.That is what experimental probability is.Mathematically:number of favorable trialstotal number of trialsTheoretical probability:theoretical probability is when you decide what will probably happen with the information given about the topicExample:You have a bag full of blocks. There are 3 red, 6 yellow, 1 pink, and 10 blue. The theoretical probability is this:(P)red = 3/20 (P)yelllow = 6/20 (P) pink = 1/20 (P)blue = 10/20Mathematically:number of favorable outcomesnumber of possible outcomes

Step-by-step explanation:

Answer: 2/90 = 1/45

Step-by-step explanation:

The values of functions are

(a) f(0) = -3.                           (b) f(4) = 77.

(c) f(-4) = 45.                         (d) -f(x) = -4x² - 4x + 3.

(e) f(x+1) =  4x² + 12x + 1.       (f) f(-x) =  4x² - 4x - 3.

(g) f(3x) =  36x² + 12x - 3.

(h) f(x+h) =  4x² + 8xh + 4h² + 4x + 4h - 3.

The concept used in this question is evaluating a polynomial function for different values of the input variable. To do this, we substitute the given value into the function in place of the input variable and simplify the resulting expression.

Here we have

The function f(x) = 4x² + 4x-3.

To find the values of functions can be done by replacing x

(a) f(0) = 4(0)² + 4(0) - 3 = 0 + 0 - 3 = -3

(b) f(4) = 4(4)² + 4(4) - 3 = 64 + 16 - 3 = 77

(c) f(-4) = 4(-4)² + 4(-4) - 3 = 64 - 16 - 3 = 45

(d) -f(x) = -[4x² + 4x - 3] = -4x² - 4x + 3.

(e) f(x+1) = 4(x+1)² + 4(x+1) - 3 = 4(x² + 2x + 1) + 4x + 4 - 3 = 4x² + 12x + 1.

(f) f(-x) = 4(-x)² + 4(-x) - 3 = 4x² - 4x - 3.

(g) f(3x) = 4(3x)² + 4(3x) - 3 = 36x² + 12x - 3.

(h) f(x+h) = 4(x+h)² + 4(x+h) - 3 = 4(x² + 2xh + h²) + 4x + 4h - 3

= 4x² + 8xh + 4h² + 4x + 4h - 3.

Hence,

The values of functions are

(a) f(0) = -3.                           (b) f(4) = 77.

(c) f(-4) = 45.                         (d) -f(x) = -4x² - 4x + 3.

(e) f(x+1) =  4x² + 12x + 1.       (f) f(-x) =  4x² - 4x - 3.

(g) f(3x) =  36x² + 12x - 3.

(h) f(x+h) =  4x² + 8xh + 4h² + 4x + 4h - 3.

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Answer:

\(\left \{{{y=3-\frac{x}{3} }\atop { y=-2x-2}} \right.\)

Step-by-step explanation:

\((-3,4),(0,3)\\y=3-\frac{x}{3} \\(-3,4),(0,-2)\\\\y=-2x-2\)

The system of linear equations are 3y = 2-x and y = -2x-2

A system of linear equations is usually a set of two linear equations with two variables.

Given that, a graph,

The two coordinates for first line are (-3, 4) and (0, 3) and for line it is (-3, 4) and (0, -2)

We know, that standard equation of line passing through two points is:

(y-y₁) = (y₁-y₂)/(x₁-x₂)(x-x₁)

Finding the equation for the first line, (-3, 4) and (0, 3)

y-3 = (3-4)/(0+3)(x+3)

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

y = -x/3+2

3y = 2-x.......(i)

Finding the equation for the second line, (-3, 4) and (0, -2)

y-4 = (-2)(x+3)

y = -2x-2.......(ii)

Hence, the two equations are 3y = 2-x and y = -2x-2

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Answer: \((-\infty, \infty)\)

Step-by-step explanation:

Absolute value is always non-negative.

Answer:

7.35582 * 10^17 %

110.68122%

Step-by-step explanation:

Inflation rate per month = 2000%

The inflation rate per year will be:

Using the relation :

Final amount = initial amount(1 + rate)^t

Here monthly rate = 2000% = 2000 / 100 = 20

Final amount = initial amount(1 + 20)^t

Final amount = initial amount(21)^12

Hence, the inflation rate after 12 months = 1year will be :

21^12 = 7355827511386641

(7355827511386641 * 100)%

= 7.35582 * 10^17 %

Daily inflation rate :

Number of days in a month = 30

Hence,

(1 + 20)^(1/30)

21^0.0333333 = 1.1068122

(1.1068122 * 100)% = 110.68122%

Answer:

true

Step-by-step explanation:

The only postulates that will not prove congruence is AAA and SSA

The mean temperature of orange juice is 5 degrees greater than the mean temperature of water.

The mean is a measure of central tendency that represents the average value of a dataset. It is calculated by adding up all the values in the dataset and then dividing by the total number of values.

According to the graph, the different temperatures of water and orange juice on different time can be taken into consideration.

Sum of Temperature of Water at different time

= 55 + 62 + 69 + 71 + 79 + 75

= 441 degrees

Mean Temperature of Water

= 441/6

= 68.5 degrees

Sum of Temperature of Orange juice at different time

= 59 + 65 + 72 + 79 + 85 + 81

= 441 degrees

Mean Temperature of Orang juice

= 441/6

= 73.5 degrees

Difference = 73.5 - 68.5 = 5 degrees

Hence, the mean temperature of orange juice is 5 degrees greater than the mean temperature of water.

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According to the question there are 35 distinct website graphics that can be created by using at least four of seven different bitmap images.

A website is a collection of related web pages, images, videos, and other digital assets that are hosted on a web server and can be accessed by users over the internet. A website is typically identified by a unique domain name and can be accessed by typing the URL into a web browser.

Using the formula for calculating the number of combinations of size k from a set of size n (n choose k), we can calculate the number of distinct website graphics that can be created by using at least four of seven different bitmap images as follows:

n = 7 (7 different bitmap images)
k = 4 (at least 4 of the 7 bitmap images)
Number of distinct website graphics = (7 choose 4) = 35
Therefore, there are 35 distinct website graphics that can be created by using at least four of seven different bitmap images.

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Answer:

1.13 seconds

Step-by-step explanation:

M = t x 4.5

5.1 = t x 4.5

/4.5      /4.5

t = 1.13 seconds

∠G+∠H+∠J=180 and ∠K+∠L+∠M=180 from the angle sum property of triangle, ∠H=∠L (3rd Angle Theorem) and ∆GHJ≅∆KLM from ASA congruency theorem.

In the given question we have to prove ∆GHJ congrurnce ∆KLM.

Given that: ∠G≅∠K, ∠J≅∠M, \(\over{HJ}\) ≅ \(\over{LM}\).

As given that;

∠G≅∠K

∠J≅∠M

\(\over{HJ}\) ≅ \(\over{LM}\)

So from the angle sum property of triangle

∠G+∠H+∠J=180................(1)

∠K+∠L+∠M=180.................(2)

Now equation equation 1 and 2

∠G+∠H+∠J=∠K+∠L+∠M

As we know that ∠G=∠K, ∠J=∠M

So now the expression is

∠G+∠H+∠J=∠G+∠L+∠J

After solving ∠H=∠L (3rd Angle Theorem)

Since, ∠H=∠L, HJ=LM and ∠G=∠K, so from the theorem Angle Side Angle(ASA) congruency,

∆GHJ≅∆KLM

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Answer:

I believe it's

Step-by-step explanation:

A

however I could be wrong

Answer:

50x20=1000

Step-by-step explanation:

The theorem that can be used to prove that both right triangles are congruent is: A. LL

The LL congruence theorem states that if two legs of one right triangle are congruent to two corresponding legs of another right triangle, then both right triangles are congruent triangles.

From the image given, both triangles have the following:

Two pairs of congruent legs - GM ≅ EO and MO ≅ OM

Therefore, the theorem that can be used to prove that both right triangles are congruent is: A. LL

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1. We have all the information we need here to set up our 'least-squares regression equation.'

Given: r = 0.68, x = 260, y = 70, s₁ = 33, s₂ = 6, remember that the general equation for our least-squares line is in the form y = a + bx. The slope of the regression equation is the linear correlation coefficient multiplied by the standard deviation for x:

b = r(s₂ / s₁) = 0.68(6 / 33) = 0.12363...

Remember that the constant of the regression equation is the mean of y decreased by the product of the slope and the mean of x:

a = y - bx = 70 -  0.12363(260) = 37.8562

The equation of the least-squares regression line would then be y = 37.8562 + 0.12363x. We know that the Jane's previous score was 279, so if we plug that into our equation as 'x' we will receive Jane's final score. The set up will be y = 37.8562 + 0.12363(279) = 72.34897. Your solution for the first part is absolutely correct!

2. Actually the values of 'y' could have been much larger. r^2 = 0.4624, thus the proportion of y explained by x is only about 46%. It would negatively affect her final course grade.