Which number line correctly shows 1.5 + 2.5?​

Step-by-step explanation:

B^2+8b+7 is a quadratic expression. It can be factored as (b+7)(b+1).

To factor a quadratic expression, you can use the following steps:

1. Find two numbers that add up to the coefficient of the middle term (8) and multiply to the constant term (7).

2. Write the quadratic expression as a product of two binomials, with the two numbers you found in step 1 as the coefficients of the terms in each binomial.

In this case, the two numbers that add up to 8 and multiply to 7 are 7 and 1. So, we can factor B^2+8b+7 as follows:

(b+7)(b+1)

This means that B^2+8b+7 is equal to the product of (b+7) and (b+1).

Here is a step-by-step explanation of how to factor B^2+8b+7:

1. The coefficient of the middle term is 8.

2. The constant term is 7.

3. The two numbers that add up to 8 and multiply to 7 are 7 and 1.

4. Therefore, B^2+8b+7 can be factored as (b+7)(b+1).

Answer:

hello

g ( 4 ) = 0

( x - 4)² = 0  ⇔ x = 4  

Step-by-step explanation:

The final velocity of the parameters is 13.5m/s

In this question, the given parameters are represented as

Formula: v = u + at

Initial velocity = 3m/s

Acceleration = 1.5m/s²

Time = 7 seconds

When these parameters are represented using their required notation, we have the following representations

u = 3m/s

a = 1.5m/s²

t = 7 s

Next, we substitute the above parameters in the above equation

So, we have the following representation

v = 3 + 1.5 * 7

Evaluate the products

This gives

v = 3 + 10.5

Evaluate the sum

So, we have the following representation

v = 13.5

The notation v represents the final velocity

Hence, the final velocity is 13.5m/s

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Step-by-step explanation:

so...the answer is( 6,-2)

Answer:

a straight line has an angle of 180

therefore 180-109=71

71÷2 = 35.5

x is 35.5 degrees

The measure of x is 29 degree.

As, Parallel line have property

As, <CBA = <BAD (Alternate Interior Angle)

So, <BAD = 42

Now, <BAD + <BAC + <CAE = 180 (Linear Pair)

42 + 109 + x = 180

151 +x = 180

x = 180- 151

x = 29

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Answer:

B. $650

Step-by-step explanation:

Every month Andre is losing $5 each month and he adds on $135 each month. This can be expressed as:

($135 × 5) - ($5 × 5)

= $675 - $25

= $650

Answer:

Attorney A : E = 250 + 150×X   where X is the number of hours

Attorney B: E = 150 + 175×X   where X is the number of hours

26 hours of work for attorney A:  E=250+150x26=4150$

26 hours of work for attorney B:  E=150+175x26=4700$

Jessica would have to drive 20 miles for the cost to rent a moving truck for one day to be the same at Rentals Plus and Speedy Move.

Let's assume the number of miles driven is represented by 'm'. The cost of renting a moving truck for one day at Rentals Plus can be calculated using the equation:

Cost at Rentals Plus = $5.24 + $4.46 * m

Similarly, the cost of renting a moving truck for one day at Speedy Move can be calculated using the equation:

Cost at Speedy Move = $85.24 + $0.46 * m

To find the number of miles that makes the costs equal, we can set up the equation:

$5.24 + $4.46 * m = $85.24 + $0.46 * m

By rearranging the equation, we can solve for 'm':

$4.46 * m - $0.46 * m = $85.24 - $5.24

$4 * m = $80

m = $80 / $4

m = 20

Therefore, Jessica would have to drive 20 miles for the cost to rent a moving truck for one day to be the same at Rentals Plus and Speedy Move.

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The exponential function that models a 15% decay is: y = (0.85)^t^(1/2)

To find the base that could be written in the blank to make the exponential function model a 15% decay, we can start by understanding the nature of exponential decay.

The general formula for exponential decay is given by:

y = A(1 - r)^t

Where:

y represents the final amount or value after time t.

A is the initial amount or value.

r is the decay rate (expressed as a decimal).

t is the time.

In this case, we want to find the decay rate (r) that corresponds to a 15% decay. A 15% decay means that the final amount is 85% of the initial amount. So, we can write the equation as:

y = A(1 - 0.15)^t

Simplifying further:

y = A(0.85)^t

Comparing this equation to the given form y = (_)t^(1/2), we see that the base in the blank must be 0.85.

Therefore, the exponential function that models a 15% decay is:

y = (0.85)^t^(1/2)

This equation represents a scenario where the initial value or amount (A) is being reduced by 15% over time (t), with the exponent of 1/2 indicating that the decay occurs at a square root rate.

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Answer:

90 for both of them

Answer:

90

Step-by-step explanation:

1+1+1+1+1+1+1+1+1=9 then add a 0

Answer:

Option a!

Step-by-step explanation:

inverse means opposite:

First part of the statement:

If I studied for it

(opposite)

If I did not study for it

Second:

I did well on the exam

(opposite)

I did not do well on the exam

Hope this makes sense.

- profparis

Answer:

a. lines intersecting at a single point

b. one solution

Step-by-step explanation:

a. The equations can be rewritten as:

y = -5x+23 and y = -1/6x+1

Comparing the equations with standard equation: y=mx+c, where m is the gradient of the line formed by the linear equation.

Since the gradient of the lines are different then the lines cannot be parallel and will intersent at one point.

b. The equation will have one solution as below.

The equations can be rewritten as:

5x+y=23

5x+30y=30

Subtracting both equation will result in,

29y=7

=> y=7/29

Hence x= 660/29

Answer:

\( -7 \frac{1}{2} \)

Step-by-step explanation:

\( \frac{6 {x}^{ - 1} {y}^{ \frac{7}{2} } }{ \sqrt{16 {x}^{2} } {y}^{2} } \\ \\ = \frac{6 {x}^{ - 1} {y}^{ \frac{7}{2} } }{ \sqrt{(4 {x} {y})^{2} }}\\ \\ = \frac{6 {x}^{ - 1} {y}^{ \frac{7}{2} } }{ {4 {x} {y}}}\\ \\ = \frac{6}{4} {x }^{ - 1 - 1} {y}^{ \frac{7}{2} - 1 } \\ \\ = \frac{3}{2} {x }^{ - 2} {y}^{ \frac{5}{2} } \\ \\ equating \: it \: with \: \\ a {x}^{b} {y}^{c} \\ \\ \implies \\ a = \frac{3}{2} \\ \\ b = - 2 \\ \\ c = \frac{5}{2} \\ \\ abc = \frac{3}{2} \times ( - 2) \times \frac{5}{2} \\ \\ = - \frac{15}{2} \\ \\ =- 7 \frac{1}{2} \\ \)

The answer is 1/3

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer: 1/3

Step-by-step explanation: To subtract mixed numbers, first subtract the fractions.

Notice here however that we have 1/6 - 5/6

which will give us a negative fraction.

Since this will cause us a lot of trouble, instead,

let's rewrite the first mixed number.

We can do this by thinking of 3 and 1/6 as 2 + 1 and 1/6 or 2 + 7/6

by changing 1 and 1/6 into an improper fraction.

So 3 and 1/6 can be written as 2 and 7/6.

So we have 2 and 7/6 -  2 and 5/6.

Now, subtract the fractions.

So we have 7/6 - 5/6 which is 2/6.

Then subtract the whole numbers.

2 - 2 is 0.

However, we don't need to include 0 in our answer.

We can write our answer as 2/6.

However, 2/6 is not in lowest terms.

So divide the numerator and denominator by 2 to get 1/3.

So 3 and 1/6 - 2 and 5/6 is 1/3.

Answer:

36x^2+gy^2-324=0

Step-by-step explanation:

Answer:

Mean = 59.1, Median = 61

(there might have been a mistake in calculation (a lot of numbers!))

Step-by-step explanation:

The sample size is 40,

Now, the formula for the mean is,

Mean = (sum of the sample values)/(sample size)

so we get,

\(Mean = (49+63+78+22+41+39+75+61+63+65+58+37+45+52+81+75+78+72+68+59+72+85+63+61+75+39+41+48+59+55+61+25+61+52+58+71+75+82+49+51)/40\\Mean = 2364/40\\Mean = 59.1\)

To find the median, we have to sort the list in ascending (or descending)order,

we get the list,

22,25,37,39,39,41,41,45,48,49,

49,51,52, 52,55,58, 58, 59, 59, 61,

61, 61, 61, 63, 63, 63, 65, 68, 71, 72,

72, 75, 75, 75, 75, 78, 78, 81, 82, 85

Now, we have to find the median,

since there are 40 values, we divide by 2 to get, 40/2 = 20

now, to find the median, we takethe average of the values above and below this value,

\(Median = ((n/2+1)th \ value + (n/2)th \ value )/2\\where, \ the\ (n/2)th \ value \ is,\\n/2 = (total \ number \ of \ samples) /2\\n/2=40/2\\(n/2)th = 20\\Hence\ the (n/2)th \ value \ is \ the \ 20th \ value\)

And the (n+1)th value is the 21st value

Now,

The ((n/2)+1)th value is 61 and the nth value is 61, so the median is,

Median = (61+61)/2

Median = 61

Responder:

11

Explicación paso a paso:

Dado que:

Dimensión de la habitación = 3,7 m por 4,5 m

Área de la habitación:

Largo * ancho

Los 3.7m * 4.5m

= 16,65 m²

Área de la caja de piso = 1.54m²

Número de cajas de suelo necesarias:

Área de la habitación / área de la caja de piso

16,65 m² / 1,54 m²

= 10,812

= 11 cajas de suelo

Answer:

switzerland was the leading country in chocolate consumption per capita in 2017, with citizens eating nearly nine kilos of the sweet stuff in that year. World renowned for the chocolate they produce, it seems the Swiss themselves can’t get enough of the candy. Germany, the country’s neighbor, is equally addicted, importing the largest share of Swiss chocolate of all countries in the world.

Step-by-step explanation:

Answer: a swede would consume 1.9 times as much chocolate as an American.

Step-by-step explanation: 9.1 / 4.7 = 1.93617021. round to the nearest tenth = 1.9.

1.93617021 times 4.7 equals 9.1

Answer:

40

Step-by-step explanation:

Answer:

X intercepts: (100/3,0)

Y intercepts: (0,100)

Answer:

44

Step-by-step explanation:

Answer: 44

Step-by-step explanation:

This is quite simple, Are you sure you can't do it on your own?

Answer:

40800

Step-by-step explanation:

4 weeks = 1 month

So we use,

850 * 4 = 3400 (monthly)

12 months = 1 year

So we use,

3400 * 12 = 40800 (annually)

Two ways we use rate out of class

Two ways we use percentages outside of class

Interest rates: Interest rates are used in financial transactions such as loans, mortgages, and investments. Understanding interest rates is important to make informed decisions about borrowing money or investing in stocks and bonds.

Exchange rates: Exchange rates are used when converting one currency into another. They affect international trade, travel, and investment. Understanding exchange rates is important for businesses and individuals who deal with international transactions.

Discounts and sales: Percentages are commonly used in advertising to promote discounts and sales. Understanding percentages is important to evaluate whether a discount or sale is a good deal or not.

Tax rates: Tax rates are expressed as a percentage of income or value of goods and services. Understanding tax rates is important for individuals and businesses to calculate their tax obligations and make informed financial decisions.

Understanding rates and percentages is important because they are used in many real-world situations. Knowing how to calculate and interpret rates and percentages can help individuals make informed decisions related to personal finance, investments, and business transactions. It also helps individuals understand and evaluate advertisements and government policies that involve rates and percentages.

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Answer:

$11.50 per hour

Step-by-step explanation:

Regular hours: 40

Overtime hours: 8

40y + 8y(1.5) = 598

40y + 12y = 598

52y = 598

y = 598/52 = 11.50

Check: 40 x $11.50 = $460

8 x $17.25 = $138

$460 + $138 = $598

Answer:

.38

Step-by-step explanation:

sin is the opposite side from angle T over the hypotenuse.

5/13