6(1 – 4r) = -114

Help plz..And No links!! I repeat No links!!

Answer:

a = \(\frac{1}{2}\) , b = 5, and  \(\frac{2b}{a}\) = 20

Step-by-step explanation:

f(x) = - x² + b, x ≤ 0     You would use this equation for f(-2). Since -2 is less than 0.

f(x) = - x² + b, x ≤ 0   ← You can ignore the x ≤ 0 part.

f(-2) = - (-2)² + b         Input the value -2 as x. The question states that f(-2) =1.

1 = - (-2)² + b              So switch f(-2) with 1 on the left side only.

1 = - (4) + b                Simplify. Do the exponents first, so (-2)² = 4.

1 = - 4 + b

+4  +4                      Do inverse operations

5 = b

Next,

f(x) = 2ax +3, x > 0      You would use his equation for f(2). Since 2 is greater than 0.

f(x) = 2ax +3, x > 0   ← You can ignore the x > 0 part.

f(2) = 2a(2) + 3             Input the value 2 as x.

f(2) = 4a +3           Simplify. The equation states f(2) = 5. So switch f(2) with 5

5 = 4a +3              on the left side only.

-3        - 3                     Do inverse operations

2 = 4a                          

\(\frac{2}{4}\) = \(\frac{4a}{4}\)                           Divide 4 on both sides to isolate the variable a

\(\frac{2}{4}\) = a                            Simplify

\(\frac{1}{2}\) = a

Then,

The second part says to find \(\frac{2b}{a}\)

\(\frac{2b}{a}\)

\(\frac{2(5)}{(\frac{1}{2}) }\)                  Input both the values of a and b

\(\frac{10}{\frac{1}{2} }\)                    Simplify

20.

The answer for a is \(\frac{1}{2}\), the answer for b is 5, and the answer for \(\frac{2b}{a}\) is 20.

Answer:

1. a 2. d 3. c 4. d 5. b

Step-by-step explanation:

Answer:

125

Step-by-step explanation:

125 divided by 5 is 25, and 25 is 1/4 of 100

Answer:

125

Step-by-step explanation:

Answer:

256

Step-by-step explanation:

Rule:*4

1*4=4

4*4=16

16*4=64

64*4=256

I hope this helps!

Answer:

sorry men this is not the answer

Step-by-step explanation

The dividend on an 8 percent preferred stock that currently sells for $45 and has a face value of $50 per share is $4.00. The correct option is a.

The dividend on a preferred stock can be calculated using the formula: Dividend = Preferred Stock Price × Preferred Stock Dividend Rate. In this case, the preferred stock price is $45, and the preferred stock dividend rate is 8 percent. To calculate the dividend, we multiply $45 by 8 percent (0.08): $45 × 0.08 = $3.60.

However, it's important to note that preferred stock dividends are typically calculated based on the face value of the stock rather than the market price. The face value represents the original value of the stock and is often $100 or $50 per share. In this case, the face value is $50 per share. To adjust for the face value, we divide the calculated dividend by the market price and multiply it by the face value: ($3.60 ÷ $45) × $50 = $4.00. Therefore, the dividend on an 8 percent preferred stock that currently sells for $45 and has a face value of $50 per share is $4.00. The correct answer is A. $4.00.

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Answer:

x=18, 4x=72, x=90

Step by-step explanation:

180 degrees = 90 degrees + x+ 4x

180 degrees = 90 +5x

180-90=5x

90=5x

x=18 degrees

right angle: 90 degrees

4x= 72 degrees

The numbers are 19 and 71 respectively

Let's call the smaller number "y".

The larger number would be 3 times y plus 14,

Which we can write as 3y + 14.

From the problem, we know that the sum of the two numbers is 90, so we can write an equation:

y + (3y + 14) = 90

Remove the brackets

y + 3y + 14 = 90

So, we have

4y + 14 = 90

4y = 76

Divide both sides by 4

y = 19

So the smaller number is 19 and the larger number is 3 times that plus 14, which is 3 * 19 + 14 = 71.

So the two numbers are 19 and 71.

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The inequality equation is x ≥ 48 inches

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the minimum height to ride the roller coaster be represented as x

Now , the required height to ride the roller coaster is = 48 inches

So , the individual must be equal to 48 inches tall

x = 48 inches

And , the individual could be greater than 48 inches tall

x > 48 inches

Substituting the values in the equation , we get

x ≥ 48 inches

Hence , the inequality is x ≥ 48 inches

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0.5( -3)(-2x - 1/3+ 4 + 8x) and -1.5(12x -7) expressions are not equivalent

given that

first expression = 0.5( -3)(-2x - 1/3+ 4 + 8x)  and

second expression =-1.5(12x -7)

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context. Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

now we need to solve the first expression

0.5 (-3)(-2x - 1/3+ 4 + 8x)

= 0.5 (-3)(-1/3 + 4 + 6x)

= -1.5(6x + 11/3)

first expression is not equivalent to second expression

0.5( -3)(-2x - 1/3+ 4 + 8x) ≠ 1.5(12x -7)

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Answer:

1/8 of a pound

Step-by-step explanation:

(3/4) ÷ 6 = .125 = 1/8

The approximate length of the midsegment parallel to xy is 6.63

The midsegment of a triangle is a line segment that connects the midpoints of two sides of the triangle and has the same length as each of the two sides.

To find the midpoint of a line segment, we average the x-coordinates and the y-coordinates of its endpoints.

Since the question stated that the midsegment is parallel to xy, we need to find midpoint of xw and yw.

First, let's find the midpoint of side xw:

Midpoint of xw : ((-14+10)/2, (20+4)/2) = (-2, 12)

Midpoint of yw : ((-14-2)/2, (20-4)/2) = (-8, 8 )

The length of a line segment between two points (x1, y1) and (x2, y2) in a two-dimensional coordinate system can be calculated using the distance formula:

d = √((x2 - x1)^2 + (y2 - y1)^2)

Length line of midpoint xw and midpoint yw :

√((-2-(-8))^2 + (12-(8))^2) = √(6^2 + 4^2) = √(36 + 8) = √44

So, the length of the midsegment is parallel to XY, which is approximately equal to √44 = 6.63

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Answer:

56

Step-by-step explanation:

Answer:

Sum less than: 7 (1,1), (1,2), (1,3), (1,4), (1,5), (2,1), (2,2), (2,3), (2,4), (2,5), (3,1), (3,2), (3,3), (3,4), (3,5), (,4,1), (4,2), & (5,1)

Sum divisible by 5 (1,4), (2,3), (3,2), (4,1)

Answer: 33.33 megabytes per day

Step-by-step explanation:

From the question, we are informed that in June, Clarissa used 1 gigabytes of data on her cell phone. Since June has 30 days, the amount of data she uses on average per day? will be:

= 1000megabyte/30

= 33.33mb

Note that:

1000 megabytes = 1 gigabyte

Answer:

I guess the answer is 9.24

Answer:

z=0

Step-by-step explanation:

Hope this helps and have a great day!

Answer:

182 miles

driving distance is 196

Answer:

c

Step-by-step explanation:

C. 13 + X = 8

X= 8-13

therefore 8-13 will give

X=-5

Answer:

C would be the answer

1.) The missing side of the triangle given above would be = 7.4

To calculate the value of the missing side of the triangle, the sine rule is used.

That is;

a/sinA = b/sinB

Where;

a = 5

A = 29°

b = ?

B = 46°

That is;

5/sin29° = b/sin46°

make b the subject of formula;

b = 5×0.719339800/0.484809620

b = 3.596699/0.484809620

b = 7.4

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The domain of a function refers to the set of all values of the independent variable (usually denoted by x) for which the function is defined.

For the function f(x) = 2, the expression is defined for all real values of x. Therefore, the domain of f(x) is all real numbers.

If the function was f(x) = 2 / (x - 9), then the expression is undefined for x = 9. Therefore, the domain of f(x) would be all real numbers except 9.

If the function was f(x) = 2 / (x - 3)(x + 3), then the expression is undefined for x = 3 and x = -3. Therefore, the domain of f(x) would be all real numbers except 3 and -3.

If the function was f(x) = sqrt(2x - 5), then the expression is only defined for values of x that make the argument of the square root non-negative. Therefore, the domain of f(x) would be all real numbers such that 2x - 5 >= 0, which simplifies to x >= 5/2.

Therefore, without more information about the function, it is impossible to determine its domain.

Answer:

Divide by 16 on both sides

Step-by-step explanation:

Answer:

You need to divide both sides by 16. Hope this helps! ❤️

The temperature (in degrees Fahrenheit) at a certain city can be approximated by the function T(t) = 70 + 19sin(12πt), where t represents the time in hours after 9 am.

To determine the temperature at 9 am, we substitute t = 0 into the function T(t):

T(0) = 70 + 19sin(12π*0) = 70 + 0 = 70 degrees Fahrenheit.

To find the temperature at 3 pm, we substitute t = 6 into the function:

T(6) = 70 + 19sin(12π*6) = 70 + 19sin(72π) ≈ 70 - 19 = 51 degrees Fahrenheit.

To calculate the average temperature during the period from 9 am to 9 pm, we need to evaluate the integral of T(t) over that interval and divide it by the length of the interval (12 hours). However, since the function T(t) is periodic with a period of 12/π, the average value of T(t) over any interval of length 12/π will be equal to the average value of T(t) over the interval from 0 to 12/π.

The average value of T(t) over the interval from 0 to 12/π can be found by integrating T(t) over that interval and dividing it by the length of the interval:

Average temperature = (1/(12/π)) * ∫[0, 12/π] (70 + 19sin(12πt)) dt.

Evaluating this integral will give us the average temperature during the period from 9 am to 9 pm.

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To determine the temperature at 9 am, we substitute t = 0 into the function: T(0) = 70 + 19sin(0) = 70. Therefore, the temperature at 9 am is 70 degrees Fahrenheit.

To find the temperature at 3 pm, we substitute t = 6 into the function: T(6) = 70 + 19sin(12π(6)) = 70 + 19sin(72π) ≈ 70 degrees Fahrenheit. Please note that the exact value depends on the value of sin(72π), which may vary depending on the specific calculator or software used.

To find the average temperature during the period from 9 am to 9 pm, we need to calculate the average of the function T(t) over that time interval. Since there are 12 hours from 9 am to 9 pm, we integrate T(t) from t = 0 to t = 12 and divide by 12:

(1/12)∫[0 to 12] (70 + 19sin(12πt)) dt.

Evaluating this integral will give us the average temperature during that period.

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When a product of repeated factors is expressed using a base and an exponent, this is called a Power.

A power is referred to as the product of factors that are repeated using a base and an exponent.

For instance, if the factor, 4, is repeated four times, then the product is:
= 4 x 4 x 4 x 4

= 256

This value of 256 is known as a power of 4. In this case, the number of times the 4 was repeated is known as the exponent and 4 is the base.

In conclusion, the product of repeated factors is a power.

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Answer: Company A is charging $13 per pound of chocolate

Step-by-step explanation:

32.5/2.5=13= 1 pound

Check:

13*2.5=$32.5

Answer:

20 rides

Step-by-step explanation:

35-4.5=30.5

20*1.5=30 and 30 plus 4.5 equals 34.5

The conversion result of decimal numbers to hexadecimal representations of 2's complement numbers are the following

a) 100

b) 6F

c)75BCD15

d)FFFFFF04

A decimal number can be represent the two parts one is whole and a fractional part separated by a decimal point. The decimal point is represented by dot inbetween the whole and fractional part. Hexadecimal is one of number system with base 16. That means 16 possible digits used to represent numbers. Steps to convert a decimal number to hexadecimal number :

Representations of 2's complement numbers :

a) decimal number = 256

using above rules, it's hexadecimal representations of 2's complement numbers is 100.

b) decimal number = 111

it's hexadecimal representations of 2's complement numbers is 6F.

c) decimal number = 123,456,789

it's hexadecimal representations of 2's complement numbers is 75BCD15.

d) decimal number = -44

it's hexadecimal representations of 2's complement numbers is FFFFFF04.

Hence, required values are obtained.

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The total housing cost for Mario Orozco in November is $1,715.29.

To calculate the total housing cost for Mario Orozco in November, you need to add up all the individual housing expenses provided. Here's a breakdown of the calculations:

Mortgage Payment: $936.30

Real Estate Taxes: $272.00

Insurance: $129.50

Electricity: $87.50

Heating Fuel: $160.50

Telephone: $39.50

Cable Service: $89.99

To find the total housing cost, simply add up all these expenses:

$936.30 + $272.00 + $129.50 + $87.50 + $160.50 + $39.50 + $89.99 = $1,715.29

Therefore, the total housing cost for Mario Orozco in November is $1,715.29.

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