2a²-2a-15 at a = 13

we get the sum of (a b² + 26² ) + ( - 6 c a b² + 26² ) as a b² ( 1 - 6 c) + 1352.

We are given the expression:

(a b² + 26² ) + ( - 6 c a b² + 26² )

We need to find its sum.

a b² + 26² - 6 c a b² + 26²

a b²  - 6 c a b² + 26² + 26²

a b²  - 6 c a b² + 676 + 676

a b²  - 6 c a b² + 1352

a b² ( 1 - 6 c) + 1352.

Therefore, we get the sum of (a b² + 26² ) + ( - 6 c a b² + 26² ) as a b² ( 1 - 6 c) + 1352.

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a) the formula for r is r = (a/p - 1)/r

b) The interest rate for the principal is $1000, the time is 2 years and simple inters $1080 is 0.04

c) The formula for p is p = a/1+rt

Simple Interest:

Simple interest is the process of multiplying the daily interest rate by the principal by the number of days that elapse between payments.

Given,

the amount a of money in an account after simple interest has been earned is given by the formula

=> a = p + prt

where

p is the principal,

r is the annual interest rate in decimal form, and

t is the time in years.

Here we need to find the following:

a. solve the formula for r

b. the amount of money in an account after interest has been earned is $1080, the principal is $1000, and the time is 2 years. what is the annual interest rate?

c. solve the formula for p.

a) The formula for r is calculated by moving the other elements and hold on r.

Then, the given formula,

=> a = p + prt

=> a = p (1 + rt)

=> a/p = 1 + rt

=> a/p - 1 = rt

=> r = (a/p - 1)/r

b) The given values are

p = $1000

t = 2

a = $1080

Now apply the values on the formula r to find the value of it,

=> r = ([1080/1000] - 1)/2

=> r = (1.08 - 1) /2

=> r = 0.08/2

=> r = 0.04

c) The formula for p can be derived as follows:

=> a = p + prt

=> a = p(1+rt)

=> p = a/1+rt

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The vertical asymptote of the function = ln(x-6) + 5 is option C: x = 6.

The given function is f(x) = ln(x - 6) + 5.

A vertical asymptote is a vertical line that a function approaches but never crosses as it approaches infinity or negative infinity. For a logarithmic function like ln(x), the domain of the function is restricted to positive values only since the natural logarithm is undefined for non-positive arguments.

In the given function, we have f(x) = ln(x - 6) + 5. To find the vertical asymptote, we need to identify the value of x that would make the argument of the natural logarithm equal to zero.

Let's set the argument of the natural logarithm to zero:

x - 6 = 0

Now, solve for x:

x = 6

Thus, the value of x that would make the argument of the natural logarithm zero is x = 6.

So, the correct answer is option C: x = 6.

This means that the vertical asymptote of the function f(x) = ln(x - 6) + 5 is the vertical line x = 6. As x approaches 6 from either side (but never equaling 6), the function's values approach infinity. Similarly, as x approaches negative infinity, the function's values also approach infinity. The function never crosses the vertical line x = 6.

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It should be noted that the seat number is C

Jean received seat number 108.

It should be noted that from the information, The seat numbers were either 53, 64, 108, or 216. Candice received the only seat number with a factor of 16. This is 64.

Bill received the seat number that is the greatest multiple of 8 from the group of seats. This is 216.

Rose received the.only seat number that is a prime number. This is 53

Therefore, the remaining number is 108.

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If shareholders in an electronics company were informed that the company's market share increased from 4.5% to 5.4%, a rise of 0.9 percentage points. The percent increase in sales that this represent is: 20%.

Using this formula

Percentage increase= Percentage increase in share price / Initial percentage x 100%

Let plug in the formula

Percentage increase= 0.9% / 4.5% x 100%

Percentage increase=20%

Therefore If shareholders in an electronics company were informed that the company's market share increased from 4.5% to 5.4%, a rise of 0.9 percentage points. The percent increase in sales that this represent is: 20%.

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Answer: 117.39%

Step-by-step explanation:

5 Litre x 1000 ml         (1 litre=1000ml)

=5000 ml

5000÷250

=20 glasses

20 x 25p = 500p (£1 = 100p)

£(500÷100)=£5.00

5.00-2.30/2.30 x 100%

=2.7/2.3 x 100%

≈117.39%

Does this help?

Hence the required expression is Proved.

Given the expression is 2 1/4 ₋ 6/7 = 39/28

Consider L.H.S 2 1/4 ₋ 6/7

Convert improper fraction to proper fraction.

2 1/4 = 9/4

take LCM of the denominators.

The LCM is 28.

9×7/28 ₋ 6×4/28

63/28 ₋ 24/28

Now subtract.

63 ₋ 24/28

39/28

Hence proved.

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Your question is incomplete. Please find the missing content here.

Show that 2 1/4 ₋ 6/7 = 39/28

The Arithmetic sequences are-

The common difference must be same for the sequence to be arithmetic;

d₁ = a₂- a₁

d₂ = a₃ - a₂

Thus, d₁ = d₂

Check the common differences for given sequences are-

A. -5, 5, -5, 5, - 5, 5....

d₁ = 5 - (-5) = 10

d₂ = -5 - 5 = -10

d₁ ≠ d₂, not a Arithmetic sequences

B. 96, 48, 24, 12, 6...

d₁ = 48 - 96 = -48

d₂ = 24 - 48 = -24

d₁ ≠ d₂, not a Arithmetic sequences

C. 18, 5.5, -7, -19.5, -32...

d₁ = 5.5 - 18 = -12.5

d₂ = -7 - 5.5 =  - 12.5

d₁ = d₂,  Arithmetic sequences

D. -1, -3, -9, -27, -81....

d₁ = -3 -(-1) = -2

d₂ = -9 - (-3) = -6

d₁ ≠ d₂, not a Arithmetic sequences

E. 16, 32, 48, 64.....

d₁ = 32 - 16 = 16

d₂ = 48 - 32 = 16

d₁ = d₂,  Arithmetic sequences

Thus, the common difference must be equal for Arithmetic sequences.

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Answer:

https://www.omnicalculator.com/math/slope

Step-by-step explanation:

go there and you will get the answers or just type in Brainly on search bar the same question your asking on here!

Answer:

a) 512cm³    b) 2 × 2 ×2

Step-by-step explanation:

A CUBE'S LENGTH WIDTH AND HEIGHT ARE EQUAL

a) Volume of a cube = length × width × height

as the length width and height are equal so it will be

8 × 8 × 8 = 512

b) Volume of a cube = length × width × height

as length, width and height are equal lets suppose the value of each of them will be = x

volume = x × x × x

vol = x³

8 = x³

∛8 = x

x = 2

Answer:

$18 less than the cost of 5 hot dog combos

Step-by-step explanation:

First, we see from the minus sign that this will be subtraction.  PEMDAS (order of operations) says we do the multiplication first, then the subtraction.

The value of x is 4 and the value of ∠ABC is 68°.

To solve this problem we first have to understand the concept of an angle bisector. Angle bisector is a straight line passes through the vertex of an angle dividing the angle in two equal angles.

According to the condition BD bisects ∠ABC

Therefore the two angles formed by the angle bisector are ∠ABD and ∠CBD.

The angle value of these two angles are equal.

Given:

m∠ABD=11x-10

m∠CBD=8x+2

Therefore from the above condition:

m∠ABD=m∠CBD

Substituting the values we get:

11x-10=8x+2

Solving the linear equation to find the value of x.

[tex]or,11x-10=8x+2\\or,11x-8x=2+10\\or,3x=12\\or,x=4[/tex]

Now let us find the value of ∠ABC

m∠ABC=m∠ABD+m∠CBD

or,∠ABC=11x-10+8x+2

or,∠ABC=19x-8

Substituting the value x=4 in the equation we get:

m∠ABC=19×4-8

or,m∠ABC=68°

Therefore we can conclude that the value of xis 4 and the value of ∠ABC is 68°.

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The equation would use to determine how long he drove each way is 2x - 8 = 60.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

We have been given that Lots took one hour to drive from his apartment to Philips arena and back. the return drive took 8 minutes less than the trip to the arena.

Since the return trip took 8 minutes less, the complete equation must be written in minutes.

Here x - 8 represents the time it took to return to Philips Arena.

The total travel time, including both directions, was 60 minutes;

thus, add x and x - 8 and set them both equal to 60.

So 2x - 8 = 60

Therefore, the equation would use to determine how long he drove each way is 2x - 8 = 60.

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Answer:

{y | 0 ≤ y < 9}

Step-by-step explanation:

The range is all the y-values; all the y's on the graph, or if you had an equation, all the y's that could be produced by that equation.

Right away, you know if the question is RANGE, the sets showing x are NOT the answer.

On the graph shown the lowest point is at (0,0) and it IS actually on the graph, so we use a >= symbol that has the "or equal to" bar under the > symbol.

The biggest y-value on the graph is the 9, but it's an open point, so exactly9 is technically NOT on the graph. So we use a < symbol without the bar underneath.

Answer:

6.913339

Step-by-step explanation:

We get the fractions in ascending order as -2350 / 1000, -1640 / 1000, 1225 / 1000 and 2050 / 1000.

We are given the daily changes in four stock prices as shown in the table.:

-2 35/100

-1.64

2.05

1 9/40

We have to arrange them from least to greatest in fraction form with a common denominator.

We can write -2 35/100 as:

-235 / 100 ( mixed fraction converted into the improper fraction)

= -2350 / 1000

We can write -1.64 as:

- 1.64 = -164 / 100 ( decimal into fraction)

= -1640 / 1000

We can write 2.05 as:

2.05 = 205 / 100 (decimal into fraction)

= 2050 / 1000

We can write 1  9/40 as:

1 9/40 = 49 / 40 ( mixed fraction converted into the improper fraction)

49 / 40 × 25 / 25

= 1225 / 1000

Arranging it from least to greatest, we get that:

-2350 / 1000, -1640 / 1000, 1225 / 1000 and 2050 / 1000

Therefore, we get the fractions in ascending order as -2350 / 1000, -1640 / 1000, 1225 / 1000 and 2050 / 1000.

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Answer:

[tex]x=-3[/tex]

Step-by-step explanation:

[tex]-4\left(1.5x-5\right)+4x=26[/tex]
Subtract 20 from both sides.
[tex]-2x+20-20=26-20[/tex]
-2x=6
[tex]\frac{-2x}{-2}=\frac{6}{-2}[/tex]
[tex]x=-3[/tex]

Answer:

102

Step-by-step explanation:

x = 5th test

(82 + 76 + 90 + 0 + x) /5 = 70

248 + x = 70*5

x = 350 - 248

x = 102

Jorge mowed 18 lawns.

Let the number of lawns mowed by Jorge =x

So according to the question

Number of lawns mowed by sandra = x/3

Number of lawns mowed by Danny =x/2

Number of lawns mowed by Valeria =16

sum of total lawns mowed = lawns mowed by Jorge + lawns mowed by sandra + lawns mowed by Danny + lawns mowed by Valeria.

[tex]x+\frac{x}{3} +\frac{x}{2} +16=49[/tex]

taking LCM as 6 and solving further we get

[tex]\frac{6x+2x+3x+96}{6} =49[/tex]

By cross Multiplying we get

11x+96=294

11x=198

Solving further for x,

x=198/11

x=18

Therefore,  the number of lawns mowed by Jorge is 18 .

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The results of the equations are listed below:

In this problem we must make use of given formulas and substitute all known variables to determine all the required information:

Case 1

The temperature in Celsius scale in terms of the temperature in Fahrenheit scale is defined by the following formula:

T' = (5 / 9) · (T - 32)

T' = (5 / 9) · (68 - 32)

T' = 20 °C

Case 2

The area of the circle in terms of its radius is presented below:

A = π · r²

A = π · (6 m)²

A ≈ 113.097 m²

Case 3

The area of the triangle as a function of its base and its height is shown in the following formula:

A = 0.5 · b · h

A = 0.5 · (8 ft) · (25 ft)

A = 100 ft²

Case 4

The traveled distance is the product of the velocity and time:

s = v · t

s = (62.5 mi / h) · (5 h)

s = 312.5 mi

Case 5

The simple interest formula is equal to the product of the invested amount, interest rate and time divided by 100:

C' = (C · r · t) / 100

C' = [(300) · (5) · (8)] / 100

C' = $ 120

Case 6

C' = (C · r · t) / 100

C' = [(200) · (2) · (10)] / 100

C' = $ 40

Case 7

s = v · t

s = (45 mi / h) · (0.5 h)

s = 27.5 mi

Case 8

T' = (5 / 9) · (T - 32)

T' = (5 / 9) · (212 - 32)

T' = 100 °C

Case 9

C' = (C · r · t) / 100

C' = [(1200) · (2.5) · (2)] / 100

C' = $ 60

Case 10

The area of the rectangle is equal to the product of its base and its height:

A = b · h

A = (14 ft) · (8 ft)

A = 112 ft²

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Answer:

T9=60

Step-by-step explanation:

step 1: solve for x

it is an arithmetic pattern,so the 1st difference is the common difference (d)

therefore...9x+199x+11-(4x+44x+4)=14x+18-(9x+199x+11)

128x+11-48x-4=14x+18-128x-11

80x+7=-144x+7

80x+144x=7-7

224x=0

224x/224=0/224

X=0

step 2: substitute for x

4(0)+44(0)+4=4[1st term]

9(0)+119(0)+11=11(2nd term)

14(0)+18=18(3rd term)

step 3:find the common difference

d=3rd term- 2nd term, 2nd term-1st term

3rd term-2nd term

18-11=7

2nd term-1st term

11-4=7

therefore...d=7

step 4:find the general formula

we use the formula Tn=a+(n-1)d to find the general formula/ nth term

where: Tn is the nth term

a is the first term

n is the number of term

d is the common difference

Tn=a+(n-1)d

=4+(n-1)7

=4+7n-7

=7n-3

step 5:find the 9th term

Tn=a+(n-1)d

=7n-3

=7(9)-3

=60

Answer:

5 units

Step-by-step explanation:

The graph, the coordinates of point D is (-7, -5).

The given coordinates of the rectangle ABCD are A(−7, -2), B(3, -2) and C(3, −5).

We need to find the coordinates of point D.

A cartesian plane can be defined as a plane formed by the intersection of two coordinate axes that are perpendicular to each other. The horizontal axis is called the x-axis and the vertical one is the y-axis. These axes intersect with each other at the origin whose location is given as (0, 0). Any point on the cartesian plane is represented in the form of (x, y). Here, x is the distance of the point from the y-axis and y is the distance from the x-axis.

Now, plot A(−7, -2), B(3, -2) and C(3, −5) on cartesian plane.

The coordinates are plotted on the graph, shown below.

From the graph, the coordinates of point D is (-7, -5).

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Norma's family spends 120 mins at Mount Rushmore

The question is based on the concept of linear equations where 1/3 of an hour spent watching a movie equals 1/6 of the total time spent at Mount Rushmore by Norma and her family.

The time they watched the movie = 1/3 of an hour

Time spent at Mount Rushmore = 1/6 of the whole time

The equations will be as follows:

1/3 of an hour = 1/6 of the whole time

20 mins = 1/6 of the whole time

120 mins = The time they spent at Mount Rushmore

So, Norma's family spends 120 mins at Mount Rushmore

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Answer:

y = -5/4x + 1

Step-by-step explanation:

The amount of water that should be added to 30 mL of 18​% alcohol solution to reduce the concentration to 15​% is: 6ml.

Let x represent the amount of water

Hence,

15% = .18(30)/(30+x)× 100          

Solve for x

.15 = 5.4/(30+x)

.15(30+x) = 5.4

30 + x = 5.4/.15= 36

x = 36 - 30

x = 6 ml

Therefore the amount of water that should be added to 30 mL of 18​% alcohol solution to reduce the concentration to 15​% is: 6ml.

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Answer:200

Step-by-step explanation:1,090

Answer:

<

Step-by-step explanation:

Negative numbers are always smaller than positive numbers, and "<" is the smaller than symbol, so < is the correct choice. We can eliminate = immediately because a negative number can't equal a positive number (excluding the weird number 0)

2ⁿ integers can be represented and the range would be 0 to (2ⁿ) -1.

So, if n bits are given then 2ⁿ integers can be represented.

And the range is the difference between the largest number by the smallest number. So, the range of 2ⁿ integers will be from 0 to (2ⁿ) -1.

Therefore, 2ⁿ integers can be represented and the range would be 0 to (2ⁿ) -1.

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Answer: Ali is correct because all of the negatives are mostly in quadrant 2.

Step-by-step explanation: