Find missing angles of the following

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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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

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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The test statistic value calculated by the statistical procedure selected is known as the obtained value.

The obtained value is the test statistic value derived using the specified statistical procedure.

An outcome of a statistical test of a hypothesis is a test statistic. It displays how closely your actual data match the distribution predicted by the statistical test's null hypothesis.

The p-value of these results, which is needed to decide whether to reject your null hypothesis, is calculated using the test statistic.

Therefore, the test statistic value calculated by the statistical procedure selected is known as the obtained value.

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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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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

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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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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Answer: 54

Step-by-step explanation:

54

Answer: The 4 one is correct,  The 2 one is correct

Step-by-step explanation:

-lukelaws hope i helped if i did please make me brainliest and if im wrong i am so sorry:(

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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Answer:

Hey!

Since we know that both expressions lay on a straight line, we know that when both lines add up it should be 180°

We can write the expression as (7x - 1) + (6x - 1) = 180

Simplify

→ (7x + −1) + (6x + −1) = 180

Combine Like Terms

→ (7x + 6x) + (-1 + -1) = 180 → 13 + -2 = 180

Add 2 To Both Sides

→ 13x - 2 + 2 = 180 + 2 → 13x = 182

Divide 13 To Both Sides

13x/13 = 182/13 → x = 14

Hence, the value of x is 14!

-------------------------------------------------

Hope This Helped! Good Luck!

Answer:200

Step-by-step explanation:1,090

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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Answer:

320 Students

Step-by-step explanation:

Hope this helps :)

Answer:

6.913339

Step-by-step explanation:

Answer:

angle 11 is an obtuse angle

Step-by-step explanation:

93           <        90

⬆️                     ⬆️

obtuse               right

We need to know about relation and function to solve the problem. The domain of the relation is {-4,2,7,10} and the range is {-4}. The relation is a function.

Relation is a subset of Cartesian product or we can say that it is a set of points. It can also be described as a collection of ordered pairs.Function is a relation which follows that each input should have only one output. The domain of a relation or function is the set of values that the relation can accept, the range of a relation is the set of values that can be an output of the function or relation. The x values are the inputs and form the domain whereas the y values give the range. In the given relation the domain of the relation is {-4,2,7,10} and the range of the relation is {-4} since there is only one ouput value. The relation is a function since every input has only one output.

Therefore the domain of the relation is {-4,2,7,10} and the range is {-4} and the relation is function.

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

Explanation:

The parabola has its lowest point when either x = -8 or x = 8

Plug either value into the function

f(x) = -x^2 + 4

f(-8) = -(-8)^2 + 4

f(-8) = -60

You should find that f(8) = -60 as well

This is the lowest output possible. Confirmation of such can be done using a graph. Look for the lowest point and only focus on the interval [tex]-8 \le \text{x} \le 8[/tex]

The highest point is at the vertex (0, 4), so the largest output is y = 4

------------

We have the lowest output y = -60 and the highest output y = 4

The possible set of outputs is the interval [tex]-60 \le \text{y} \le 4[/tex] which turns into the interval notation [-60, 4]

Check out the graph below.

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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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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The absolute value notation will be |x - 12| = 6

The absolute function is also known as the mode function. The value of the absolute function is always positive.

The absolute function is given as

f(x) = | x |

All numbers x is at a distance of 6 from the number 12. Then the equation will be

|x - 12| = 6

Simplify the equation, then we have

For x ≥ 0, then the value of x will be

x - 12 = 6

x = 18

For x < 0, then the value of x will be

- x + 12 = 6

x = 6

The absolute value notation will be |x - 12| = 6

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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)

Answer:

50

Step-by-step explanation:

2(9)+10

3(9)-5

18+10=28

27-5 =22

28+22=50

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

Step-by-step explanation:

The two numbers with the value of 9 in the first digit being 10 times the value of 9 in the second digit are 98 and 9.

Given that the value of the digit 9 in the second number is 10 times the value of digit 9 in the first number .

The first number will be 9 and the second number will be 98.

In the second number, the 9 is in the tens position which means that it has the value of 90.

In the first number, the value of 9 is simply 9.

90 is 10 times the value of 9 which means that 9 and 98 satisfy the requirements.

The first number will be 9 and the second number will be 98.

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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?

Answer:

C

Step-by-step explanation:

You are looking for the arithmetic sequence.  

[tex]a_{n}[/tex] = [tex]a_{1}[/tex] + (n-1)d

In this case the formula is written:

t(x) = 3 + 4(x-1)

The 3 is the first term.  The 4 is how much the sequence is increasing each time.  (x-1) stands for the term we are looking for.  If we were looking for the 15th term, we would have (15-1) in the parentheses.

According to the given statement the value for:

A. = 6x²

B. = 6x³

An expression that only uses the same operations of addition, subtraction, multiplication, and non-negative integer exponentiation of factors is said to be a polynomial. It consists of indeterminates and coefficients. x²+4x + 7 is an illustration of a polynomial of one uncertain x.

Polynomials are added by combining like terms.

We can see that adding 6 and 8 together yields 14, and adding 3 and 5 together yields 8.

We also understand that adding something to -4x² yields 2x². We deduct to obtain the value that is missing:

2x²-(-4x²) = 2x²+4x² = 6x².

Similarly for the second equation on solving we get:

Polynomials are added by combining like terms.

We also understand that adding something to -b³ yields 5b³. We deduct to obtain the value that is missing:

5b³-(-b³) = 5b³+ b³ =  6x³.

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I understand that the question you are looking for is:

Use what you know about addition and subtraction of polynomials to find the missing term represented

by the question mark in each equation.

(-4x² + 6x + 3) + (8x + 5 + ?) = 2x² + 14x + 8

? =

(-b³ + 3b2 + 8) – (? - 562 - 9) = 5b³ + 8b2 + 17

? =

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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