−2z+10+7z=16z+7
How many solutions does the following equation have?

y=2/3x-4 is the equation of the line where 2/3 is the slope.

We have to find the equation of line which is passing through points (0, -4) and (3, -2).

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁.

Slope = -2+4/3-0

=2/3

Now let us find the y intercept.

-4=2/3(0)+b

b=-4

The equation of line is y=2/3x-4.

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Answer: \(\dfrac{1}{20}\) or 0.05

Step-by-step explanation:

Formula:

Standard error \(=\dfrac{\sigma}{\sqrt{ n}}\)

, where \(\sigma\) = Standard deviation

n= Sample size.

Given: Standard deviation = \(\dfrac12\)

Sample size = 100

Standard error = \(\dfrac{\dfrac12}{\sqrt{100}}\)

\(=\dfrac{1}{2\times10}=\dfrac{1}{20}=0.05\)

Hence, the required Standard Error = \(\dfrac{1}{20}\) or 0.05

The Standard Error of the sum of the 100 draws is 0.05.

It is given that,

The standard deviation of the box σ = 1/2

Number of draws n = 100

The standard error formula with standard deviation σ and number of trials n  is σ/√n.

So, standard error SE of the sum of 100 draws,

\(SE = \sigma/\sqrt{n}\)

SE = \(\frac{1}{2} /\sqrt{100}\)

SE = \(\frac{1}{20}\) = 0.05

Therefore, the Standard Error of the sum of the 100 draws is 0.05.

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Answer:

See below

Step-by-step explanation:

Starting with 42, there would be two branches of 2 and 21 connected to 42. Since 2 is prime, there are no more branches. Since 21 is composite, then two more branches are drawn of 3 and 7 connected to 21. Since 3 and 7 are prime, there are no more branches.

Therefore, the prime factorization of 42 is 2*3*7, and its factors would be 1,2,3,6,7,14,21,42.

Answer:$ 24,679.20 or 514.15 a month

Step-by-step explanation: 565(.09) is 50.85 which needs to be deducted from the payment of 565 because he needs to be able to pay for interest. 514.15 is then multiplied by 48 months which will bring you to 24,679.20

Answer:

Equilateral C.

Step-by-step explanation:

Those tick marks on the sides symbolize that each side is the same length as the ones next to it

The polynomial -8m²n - 7m²n can be factored using the common factor -m²n. The complete factored form of the polynomial is (-m²n) (8 + 7a).

To find the complete factored form of the polynomial -8m²n - 7m²n, we can factor out common terms from both the terms. The common factor in the terms -8m²n and -7m²n is -m²n. We can write the polynomial as:

-8m²n - 7m²n = (-m²n) (8 + 7a)

Therefore, the complete factored form of the polynomial -8m²n - 7m²n is (-m²n) (8 + 7a). This expression represents the original polynomial in a multiplied form. We can expand this expression using distributive law to verify that it is equivalent to the original polynomial.

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Step-by-step explanation:

16 - 10 × 1/5 + 13

16 - 5 + 13

11 + 13

24

Step-by-step explanation:

10/5=2

16-2+13=27.

d. 27

Answer: $44.55

Step-by-step explanation:

$45 times the 10% sales tax equals $49.50

$49.50 minus the 10% discount equals $44.55

Answer: 8:36AM

Step-by-step explanation:

12     18

24    36

36

LCM or least common denominator to solve

Answer:

8 : 36 am

Step-by-step explanation:

we are trying to find:

    train : 12

    bus : 18

(the next time that 12 and 18 will both evenly go into a number/start at the same time will be the "lowest common multiple")

the lowest common multiple can actually be found fairly easily.

most people assume that finding the LCM (lowest common multiple) is a matter of guesswork - it's not  

We can find the LCM by multiplying the absolute values of two numbers, and dividing by their GCD (greatest common divisor- the largest number that both can be evenly divided by).

12 and 18 share a GCD of 6.

So, we multiply 12 × 18 = 216

and divide by 6 216 / 6 = 36

The next time that the bus and train leave the station at the same time will be in 36 minutes--which will be 8 : 36 am.

Answer:

192

Step-by-step explanation:

If there are 8 players on a team, and a total of 24 teams, you will need to multiply 8 x 24 to find the answer.

8 x 24 = 192 players can sign up for the league.

(hope this helps can i plz have brainlist :D hehe)

Answer:

192 players

Step-by-step explanation:

8x24=192

8 is the 8 players per team, since there are 24 teams available, multiply 8 by 24.

Answer:

144√3 square feet

Step-by-step explanation:

There is a 30°-60°-90° triangle. In this triangle, the longer leg, which is the height of this parallelogram, is √3 times the length of the shorter leg (8 feet). Multiplying base times height, we have

18 * 8√3, which is 144√3 square feet.

Answer:

Step-by-step explanation:

first, we need to convert the 15 feet of string that Daniel needs into inches. Since there are 12 inches in a foot, 15 feet is equivalent to 15 * 12 = 180 inches.

Since Daniel already has 28 inches of string, he still needs 180 - 28 = 152 inches of string to complete his project.

Received message. First, we need to convert the 15 feet of string that Daniel needs into inches. Since there are 12 inches in a foot, 15 feet is equivalent to 15 * 12 = **180 inches**. Since Daniel already has 28 inches of string, he still needs 180 - 28 = **152 inches** of string to complete his project.

The answer is:

Work/explanation:

Bear in mind that the sum of all the angles in a triangle is 180°.

Given two angles, we can easily find the third one.

Let's call it x.

Next, we set up an equation:

\(\sf{54+87+x=180}\)

\(\sf{141+x=180}\)

Subtract 141 on each side.

\(\sf{x=180-141}\)

\(\sf{x=39}\)

The value of the expression is -4

The cube root of a number can be defined as the factor multiplied by three times by itself  to get that number.

Cube root is represented using the formula, '∛'

From the information given,

c³ = -64

Take the cube root of both sides

∛c³ = ∛ - 64

c = - 4

Thus, the value of the expression is -4

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We have the following equation:

And we want to identify values who satisfy the equation. And the possible answers for this case are:

x=0

Since :

Other two possible answers are:

The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.

To solve this problem, we can use the concept of radioactive decay and the decay factor. Here's how we can calculate the required volume to correct the dose:

Determine the initial activity of the kit:

Initial activity = 180 mCi

Calculate the decayed activity at 9:30 (after 1.5 hours):

Decay factor = 0.841

Decay activity = Initial activity * Decay factor

Calculate the remaining activity after withdrawing 20 mCi at 8 am:

Remaining activity = Initial activity - 20 mCi

Calculate the remaining activity at 9:30:

Remaining activity at 9:30 = Remaining activity * Decay factor

Calculate the desired activity at 9:30 (20 mCi):

Desired activity at 9:30 = 20 mCi

Calculate the volume needed to achieve the desired activity:

Volume needed = Desired activity at 9:30 / Remaining activity at 9:30 * Volume at 9:30

Calculate the remaining volume at 9:30:

Remaining volume = Volume at 8 am - Volume withdrawn - Volume accidentally discharged

Calculate the volume that needs to be added:

Volume to be added = Volume needed - Remaining volume

Let's perform the calculations step by step:

Determine the initial activity of the kit:

Initial activity = 180 mCi

Calculate the decayed activity at 9:30 (after 1.5 hours):

Decay factor = 0.841

Decay activity = 180 mCi * 0.841 = 151.38 mCi

Calculate the remaining activity after withdrawing 20 mCi at 8 am:

Remaining activity = 180 mCi - 20 mCi = 160 mCi

Calculate the remaining activity at 9:30:

Remaining activity at 9:30 = 160 mCi * 0.841 = 134.56 mCi

Calculate the desired activity at 9:30 (20 mCi):

Desired activity at 9:30 = 20 mCi

Calculate the volume needed to achieve the desired activity:

Volume needed = (Desired activity at 9:30 / Remaining activity at 9:30) * Volume at 9:30

Volume at 9:30 = Remaining volume = 30 ml - (30 ml / 2) = 15 ml

Volume needed = (20 mCi / 134.56 mCi) * 15 ml = 2.236 ml

Calculate the remaining volume at 9:30:

Remaining volume = 30 ml - (30 ml / 2) = 15 ml

Calculate the volume that needs to be added:

Volume to be added = Volume needed - Remaining volume = 2.236 ml - 15 ml = -12.764 ml

Since the calculated volume to be added is negative, it means that no additional volume is required. The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.

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(g.f)(−3)=7.

Explanation: Let's write down the functions. f(x)=x2−6 and g(x)=2x−1. Given we are to find what (g.f)(−3) is

The value of f(g(2)) for the condition is given by $1.

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input.

Given functions

f(x) = x + 3

and g(x) = x² - 6, values of each function is in $,

to determine f(g(2))

so f(g(x)) = x² - 6 + 3

f(g(x)) = x² - 3

substitute value of x

f(g(2)) = 2² - 3

f(g(2)) = 4 - 3 = $1

Hence the value of the function is $1.

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Answer:

3/4

Step-by-step explanation:

Answer:

Its answer number 2 for sure.

The next term in the sequence is 98. None of the given options (60, 81, 90, 101) match the expected next term. None of the option is correct.

To find the pattern in the sequence 1, 1, 3, 8, 19, 41, we can examine the differences between consecutive terms:

1 1 3 8 19 41

0 2 5 11 22

Looking at the differences, we can observe that each subsequent difference is obtained by adding consecutive odd numbers: 2, 3, 4, 5, etc. This suggests that the original sequence may be related to square numbers.

Let's check if the differences between consecutive terms are square numbers:

2 = 1²

5 = 2² + 1²

11 = 3² + 2²

22 = 4² + 3²

Based on this pattern, we can make a reasonable assumption that the next difference should be 5² + 4² = 41 + 16 = 57. Adding this difference to the last term of the sequence (41), we get the next term:

41 + 57 = 98

Therefore, the next term in the sequence is 98. None of the given options (60, 81, 90, 101) match the expected next term.

Hence, none of the given options accurately continue the pattern of the sequence. It's important to note that patterns in sequences can sometimes have multiple possible interpretations, and it's always essential to consider alternative patterns or extend the sequence further to confirm the pattern.

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Answer:

You can make 27 different 3 digit numbers

Step-by-step explanation:

Since we can use 3 different numbers this means that each of the 3 digits can be one of the 3 numbers (4,2,9). This means that there are 3 different values for the first digit, 3 different values for the second digit, and 3 different values for the third digit, which mean that we can make 3 x 3 x 3 different 3 digit numbers (we took the number of possible values for each digit and multiplied them together.

3 x 3 x 3 = 27

Answer:

B. .50p+2.25=4.10

Step-by-step explanation:

The equation that need to determine the p is shown below:

Given that the bananas would be bought for $0.50 per pound and 1 pint of strawberries for $2.25

Now the total amount paid by Carol is $4.10

So, the equations would be

0.50p + 2.25 = 4.10

Therefore the option b is correct

Answer:

Step-by-step explanation:

easy its A tell me if u got it correct good job (:

percent change = ( (new value - old value) / (old value) )*100%

percent change = ( ( $9.64 - $9.73 ) / $9.63 ) *100%

= ( -$0.09 / $9.63 )*100%

≅ -0.9 %

(note: -0.9% means 0.9% decrease)

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\(\Large\maltese\underline{\textsf{A. What is Asked}}\)

Calculate the slope of the line between each pair of co-ordinates

\(\Large\maltese\underline{\textsf{B. This problem has been solved!}}\)

\(\LARGE\textsf{Question 1}}\)

The points given are,

\(\begin{cases} \bf{(3,6)} \\ \bf{(4,-3) \end{cases}\)

To find the slope \(\textbf{M}\) of this line,

we will utilise the \(\textbf{Slope Formula}\).

The first thing to do is

to put in the co-ordinates

of the two points given.

\(\bf{\dfrac{-3-6}{4-3}}\) | subtract on top and bottom

\(\bf{\dfrac{-9}{1}}\) | divide on top and bottom

\(\bf{-9}\)

\(\LARGE\textsf{Question 2}\)

The points given this time are,

\(\begin{cases} \bf{(-5,-3)} \\ \bf{(-3,-7)} \end{cases}}\)

Last time we needed to

put in the co-ordinates.

Similarly, we ought to

put in the co-ordinates

in this problem.

\(\bf{\dfrac{-7-(-3)}{-3-(-5)}}\) | simplify

\(\bf{\dfrac{-7+3}{-3+5}}\) | add on top and bottom

\(\bf{\dfrac{-4}{2}}\) | divide on top and bottom

\(\bf{-2}\)

\(\cline{1-2}\)

\(\bf{Result:}\)

                         \(\bf{\begin{cases}\bf{Slope=-9} \\ \bf{Slope=-2} \end{cases}\)

\(\LARGE\boxed{\bf{aesthetic \not1 \theta l}}\)

Answer:

4.9 in

Step-by-step explanation:

6/11 = x/9

6/11 times 9 = x

x = 4.9