Given f(x) and g(x) = f(x) + k, look at the graph below and determine the value of k.
k=______.

The area of the triangle will be 24912 sq. units. Square units and other similar units are used to measure area.

The space filled by a flat form or the surface of an item is known as the area.

The number of unit squares that cover the surface of a closed-form is the figure's area.

For:

(X1, Y1) = (1, 15)

(X2, Y2) = (-2, 1)

d = 14.317821

For:

(X₂, Y₂) = (-2, 1)

(X₃, Y₃) = (4, 5)

d = 7.211103

For applying the pythogorous them we need the right angle triangle obtained by bisect from the mid point.

The value of the base is;

⇒7.2 / 2

⇒3.6

apply the pythogorous theorem for finding the height;

h² = p² + b²

14.31² = p² + 3.6²

p = 13.84

The area of the triangle is;

[tex]\rm A = \frac{1}{2}\times b \times h \\\\ A= \frac{1}{2} \times 3.6 \times 13.84 \\\\ A = 24.912[/tex]

Hence, the area of the triangle will be 24912 sq. units.

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Answer:

First of all this is 5th grade math but 400/800 = 1/2

Step-by-step explanation:

Answer:

1:2

Step-by-step explanation:

400/800=1/2 as 400*2=800

Answer:

D. -4

Step-by-step explanation:

a1 is the first term.

a1 = -10

an = an-1 + 3

The recursive formula means that each term after the first term is 3 more than the previous term.

a2 = a1 + 3 = -10 + 3 = -7

a3 = a2 + 3 = -7 + 3 = -4

The measure of angle E will be 90 degrees as well.

Assume EFG = JKL.

If mLJ = 90°, mL K = 26°, and m< L = 64°,

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

We have been given an image of two congruent triangles.

Since, EFG = JKL

therefore, the corresponding angles will be congruent.

m < J = 90° = m< E = 90

By congruence measure of angle, J will be equal to the measure of angle E.

Hence, The measure of angle E will be 90 degrees as well.

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Answer:

I am not sure but 31054.449

Step-by-step explanation:

Answer:

0.27037

Step-by-step explanation:

numerator is 250.16667

denominator is 925.2477

answer is 0.27037

Answer:

₹ 341.55

Step-by-step explanation:

Cost of 1 kg sugar = ₹ 25.30

Cost of 13.5 kg sugar = 25.30 × 13.5 = 341.55

Hence, the cost of 13.5 kg is ₹ 341.55

If you are writing, write statements too as in my school they give extra marks.

Thankyou and have a great day ahead.

Answer:341.55

Step-by-step explanation:

If one KG of sugar does cost  ₹25.3 and if you want to know how much 13.5 kg costs you just would have to multiply/times  ₹25.3 by 13.5 and what is 25.3 x 13.5.  ₹341.55 and that's your answer!

Answer:

16

Step-by-step explanation:

If f(x)=7x-3 and g(x)=x²,

(g•f)(1)= g(f(1))

bit : f(1) =7(1)-3 = 4

(g•f)(1)= g(f(1)) = g(4) = 1² = 16

I hope this was helpful :)

SECOND ONE

Step-by-step explanation:

Trust me

The second box plot represents the data 8.5, 8.3, 8.2, 8.9, 8.4, 8.2, 8.7, 8.5, 8.3, 8.5, 8.4 option second is correct.

A box and whisker plot is a method of abstracting a set of data that is approximated using an interval scale. It's also known as a box plot. These are primarily used to interpret data.

We have a box plot shown in the picture.

The data:

8.5, 8.3, 8.2, 8.9, 8.4, 8.2, 8.7, 8.5, 8.3, 8.5, 8.4

From the data given:

The minimum value = 8.2

The maximum value = 8.9

Q1 = 8.3

Q2 = 8.4

Q3 = 8.5

As we can see in the second box plot this data is represented.

Thus, the second box plot represents the data 8.5, 8.3, 8.2, 8.9, 8.4, 8.2, 8.7, 8.5, 8.3, 8.5, 8.4 option second is correct.

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Answer:

in triangle ACD and BCE

AC = EC

angle ACD = angle ECB ( COMMON ANGLE).

CB = CD

BY side and side criteria

triangle ACD is congruent to triangle BCE

so angle a is congruent to angle E

hence, proved

Answer:

2) [tex]m\angle A+m\angle B+m\angle C+m\angle D=360^{\circ}[/tex]

3) Substitution property

4) Combine like terms

Step-by-step explanation:

(6a + 10)° = (3a + 55)°

6a - 3a = 55 - 10

3a = 45

a = 45/3

a = 15° IS THE ANSWER

Answer:

Commutative property

Answer:

let difference be x

Step-by-step explanation:

you can solve for x by keeping the 2 statesments as conditions.

then you solve for both equations together by adding subtracting or multiplying.

eg: let x be the number.

the. proceed with conditions as equations

then solve

then your answer is here

Answer:

x = 64

Step-by-step explanation:

Solve for x: √x + 3-4=7

√x + 3-4=7

= √x + 1 = 7

= √x = 7 + 1

= √x = 8

= (√x)² = 8²

x = 64

Answer:34.96 (answer to what is her purchase price before tax)

Step-by-step explanation:38*(1-.08)

The simple interest rate is 9% if the Tk 13000 will be Tk 18850 as profit-principal in 5 years.

It is defined as the interest on based on the principal amount, it does not include the compounded amount. The interest calculates on the initial amount of borrowed amount.

We have given:

The principal amount, P = Tk 13000

Final amount A = Tk 18850

Number of years n = 5 years

Rate = r

I = A - P

I = 18850 - 13000 = Tk 5850

I = Pnr

5850 = 13000(5)(r)

r = 0.09

r = 9%

Thus, the simple interest rate is 9% if the Tk 13000 will be Tk 18850 as profit-principal in 5 years.

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ANSWER :

The pH level of a swimming pool indicates the level of acidity or alkalinity

of the swimming pool.

Correct Responses;

First Part:  Please find attached the required graph of the pH function created with MS Excel.

The pH value is 0 when x = 1

The pH value is 1 when x = 0.1

The pH level if the hydronium ions is raised to 0.50 is approximately 0.301029996.

Second Part: The transformation that results in a y-intercept is f(x + 1), because f(0 + 1) exists and is equal to 0.

STEPS

Method by which the above responses are obtained

First part

The given pH function is f(x) = -㏒₁₀x

Where;

x = The amount of hydronium ions

A substance with a pH < 7 is acidic

A substance with a pH > 7 is alkaline

A neutral solution has pH = 7

Water is a neutral solution

The graph of the pH function created with MS Excel is attached

The table of values of the graph is as follows;

From the graph, we have;

When the pH value is 0, the hydronium ion concentration is 1

The pH value is 1 when x = 1 × 10⁻¹ = 0.1

The pH level if the hydronium ions, x = 0.5 is given from the graph as follows;

pH = f(0.5) = -㏒₁₀(0.5) ≈ 0.301029996

The pH value when the hydronium ions is 0.5 is pH ≈ 0.301029996

Second Part

Using f(x) = -㏒₁₀x as the parent function, the graph of f(x) + 1, and f(x + 1) are plotted

From the graph, we have;

The graph of f(x) + 1 = -㏒₁₀x + 1

The graph of f(x + 1) = The graph of -㏒₁₀(x + 1)

At the y-intercept, x = 0, therefore;

f(x) + 1 = f(0) + 1 = -㏒₁₀0 + 1 = Undefined

f(x + 1) = f(0 + 1) = -㏒₁₀(0 + 1) = 0

Therefore;

The transformation that results in a y-intercept is f(x + 1) because f(0 + 1) is 0, which is defined.

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The length side AB is 64 ft , Option D is the correct answer.

A triangle that has one angle 90 degree is called Right angled Triangle.

From the figure it can be seen that

The triangle CDE is a right Triangle

Applying Pythagoras theorem to find the length of CE

CE² = 12² + 16²

CE = 20 ft

As both the triangles are similar therefore the ratio of the sides will be equal

BC : CD = AC : CE

48 / 12 = AC / 20

AC = 80ft

As Triangle ABC is also a right angled triangle

Applying Pythagoras theorem to find the length of AB

AC² = BC² +AB²

6400 = 48² +AB²

AB² = 4096

AB = 64 ft

Therefore Option D is the correct answer.

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Answer:

64 ft.

Step-by-step explanation:

Keep it simple, just givin' the answer :)

The number of possible combinations of 7 objects taken 4 at a time is 35. Then the correct option is D.

Each of the different groups or selections can be formed by taking some or all of a number of objects, irrespective of their arrangments is called a combination.

The number of possible combinations of 7 objects taken 4 at a time.

so, the number of the combination is given as

[tex]^7C_4 = \dfrac{7!}{4!(7-4)!} \\\\\\^7C_4 = \dfrac{7!}{4!(3)!} \\\\\\^7C_4 = \dfrac{7 \times 6\times 5\times 4!}{4!(3\times 2)} \\\\\\^7C_4 = 35[/tex]

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Answer:

D. 35

Hope this helps!

Step-by-step explanation:

Answer:

The number of students is 800

1 teacher=32 students

25 teachers=?

(32×25)/1

800

Answer:

B.

Step-by-step explanation:

if x is 3 then you just substitue every instance of x as 3. 2(x-4) + 3x - x^2 =

2(3 - 4) + 3(3) - 3^2 =

6-8 + 9 - 9 =

-2

Answer:

To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y

.

x-intercept(s): None

y-intercept(s): (0,5)

Step-by-step explanation:

The correct answer from the task content is; Choice C; None of the above.

The equations can be evaluated as follows;

A) -x + (-x) =0

-x -x = -2x......Not True

B) x -(-x) = 0

x + x = 2x .....Not True.

On this note, it follows that none of the equations is true.

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Answer:

[tex]-4^{15}[/tex]

Step-by-step explanation:

Given expression:

[tex]\left[(-4)^5\right]^3[/tex]

[tex]\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:[/tex]

[tex]\implies (-4)^{(5 \times 3)}[/tex]

[tex]\implies (-4)^{15}[/tex]

[tex]\textsf{Apply exponent rule} \quad (-a)^n=-a^n,\:\: \textsf{ if }n \textsf{ is odd}:[/tex]

[tex]\implies -4^{15}[/tex]

Answer:

x divided by 4

Step-by-step explanation:

4 bags

O O

O O

strawberries would go in each

so lets say like 24 strawberries

24 (x) / 4 = 6

so six strawberries a bag

hope this helps like put a picture in your head

The correlation coefficient of the data given in the table, using a calculator, is of 0.35

To find the coefficient, we need to insert the points (x,y) in the calculator.

In this problem, we have that:

Using a calculator, the coefficient is of 0.35.

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The correct answer is option 3 which is the third graph showing the correct locations of the points on the coordinate plane.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The graph in option third is showing correct points on the x-y plane which are ( -4,3) and ( 1,-2).

-4 is along the negative x-axis and 3 is along the positive y-axis similarly to the second point positive 1 is along the x-axis and negative 2 is along the y-axis.

Therefore the correct answer is option 3 which is the third graph showing the correct locations of the points on the coordinate plane.

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Step-by-step explanation:

The graph is shown in the image above.

Answer: Draw a line through the two points (5,-3) and (7,-4)

See the diagram below.

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

Explanation:

Start at (5,-3). Then move down 1 and to the right 2 units to arrive at (7,-4)

The motion of "down 1, right 2" is from the slope of -1/2

slope = rise/run = -1/2

rise = -1 = go down 1 unit

run = 2 = go 2 units to the right

Two points are the minimum amount needed to draw any line. Plot the two points (5,-3) and (7,-4) and draw a straight line through them as shown in the diagram below. I used GeoGebra to make the graph. Desmos is another tool you could use.