Please help me ill give
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The cost of one pair of shoes is $8.

The cost of one shirt is $12.

2a + b = 32 equation 1

2a + 3b = 48 equation 2

Where:

Subtract  equation 1 from  equation 2

2b = 16

b = 16/2

b = $8

Substitute for b in equation 1

2a + 8 = 32

2a = 32 - 8

2a = 24

a = 24 / 2

a = $12

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The domain of the function d(t)=1/2t+6 is (-∞, ∞) and the range of the function is (-∞, ∞).

Similar to how we input different numbers into functions, we also receive new numbers as the outcome. The two main characteristics of functions are domain and range.

A function's domain and range are its constituent parts. A function's range is its potential output, whereas its domain is the set of all possible input values. Range, Domain, and Function. A is the domain and B is the co-domain if a function f: A  → B exists that maps every element of A to an element in B. 'b', where (a,b) R, provides the representation of an element 'a' under a relation R. The set of images is the function's range.

The domain of the function d(t)=1/2t+6 is given by

Domain: (-∞, ∞), {x|x ∈ R}

The range of the function is given by

Domain: (-∞, ∞) , {y|y ∈ R}

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Answer:

(14,5)

Step-by-step explanation

add 9 to 5 and add 4 to 1

hope this helps

The estimated total time for all five pools is approximately 13.85 hours.

To estimate the time required to install the fifth pool using the learning curve, we can use the formula:

Time for nth unit = Time for first unit * (n^b)

Where:

Time for nth unit is the estimated time to install the nth pool

Time for first unit is the estimated time to build the first pool (30 hours)

n is the number of units (in this case, n = 5 for the fifth pool)

b is the learning curve exponent (85% learning rate corresponds to b = log(0.85) / log(2))

Let's calculate the estimated time for the fifth pool:

b = log(0.85) / log(2) ≈ -0.157

Time for fifth pool = Time for first pool * (5^b)

Time for fifth pool = 30 * (5^(-0.157))

Calculating this, we find:

Time for fifth pool ≈ 30 * 0.6764 ≈ 20.29 hours

Therefore, the estimated time required to install the fifth pool is approximately 20.29 hours.

To calculate the total time for all five pools, we need to sum the time required for each pool from the first to the fifth. Since the learning curve assumes decreasing time with increasing units, we can use a summation formula:

Total time for all units = Time for first unit * ((1 - (n^b)) / (1 - b))

Using this formula, let's calculate the total time for all five pools:

Total time for all five pools = Time for first pool * ((1 - (5^b)) / (1 - b))

Total time for all five pools = 30 * ((1 - (5^(-0.157))) / (1 - (-0.157)))

Calculating this, we find:

Total time for all five pools ≈ 30 * 0.4615 ≈ 13.85 hours

Therefore, the estimated total time for all five pools is approximately 13.85 hours.

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Answer:

∠ HFG = 79°

Step-by-step explanation:

The inscribed angle HFG is half the measure of its intercepted arc, that is

∠ HFG = \(\frac{1}{2}\) × 158° = 79°

Answer:

x=1.34,-5.24

Step-by-step explanation:

x=1.34,5.24

Answer:

$3.52

Step-by-step explanation:

What George needs to fix is that Geroge needs to add paranthesis on the sides of the addition part of the expression, like this - 15 - (9 + 2.65 + 1.35 + 2(1.74)) in order to see how much he has left. You first add the equation part which comes to 11.48, and 15 - 11.48 = $3.52.

Answer:

The person above me is wrong

Step-by-step explanation:

Sample Response: George did not put parentheses around the total snack amount to be subtracted from his $15. He needed to total the purchases and then subtract that amount from $15.

Answer:

Option D. 2x⁷ - 12x⁶ + 10x⁵

Step-by-step explanation:

From the question given:

Length (L) = 2x²

Width (w) = x³

Height (h) = x² - 6x + 5

Volume (V) =?

Volume (V) = length (L) x width (w) x height (h)

V = L x w x h

V = 2x² × x³ × x² - 6x + 5

V = (2x²) (x³) (x² - 6x + 5)

V = (2x⁵) (x² - 6x + 5)

Clear bracket

V = 2x⁷ - 12x⁶ + 10x⁵

Therefore, the volume of the cube is 2x⁷ - 12x⁶ + 10x⁵

Remember that

the distance between two points is equal to

In this problem we have

d=6 units

A(-2,5)

B(x,y)

substitute the given values in the expression above

squared both sides

Find out three possible coordinates of point B

First and Second possibles coordinate

I will assume the x-coordinate

For x=-2

substitute in the expression above and solve for y

36=(y-5)^2

square root both sides

Values of y are

y=11 and y=-1

therefore

we have the coordinates of point B

(-2,11) and (-2,-1)

Find out the third possible coordinate of point B

I will assume the y-coordinate

For y=5

36=(x+2)^2

square root both sides

the values of x are

x=4 and x=-8

the possibles values of B are

(4,5) and (-8,5)

therefore

(-2,11)

(-2,-1)

(4,5)

(-8,5)

Part 2

Find out the midpoint of each of those possible segments

The formula to calculate the midpoint between two points is equal to

so

For A(-2,5) and B(-2,11)

substitute in the formula-------> M(-2,8)

For A(-2,5) and B(-2,-1) ------> M(-2,2)

For A(-2,5) and B(4,5) -------> M(1,5)

For A(-2,5) and B(-8,5) -----> M(-5,5)

ANSWER

EXPLANATION

Let the two points be (2, 4) and (3, 9).

The general form of the equation of a straight line is given by:

where m = slope

b = y-intercept

First, we have to find the slope of the line using the formula:

where (x1, y1) and (x2, y2) are the two points that the line passes through

Therefore, the slope of the line is:

Now, we find the equation of the line using the point-slope method:

Therefore, the equation of the line is:

Answer:

3 gallons of orange juice

Answer: 1, 3, 5 and 15

Step-by-step explanation:

trust me bro

To find a linear differential operator that annihilates the function 1 + 8e^(2x), we can start by differentiating the function.

d/dx (1 + 8e^(2x)) = 0 + 16e^(2x) = 16e^(2x)

Notice that the derivative of the function is a constant multiple of itself. This suggests that the linear differential operator we are looking for involves a constant coefficient multiplied by the derivative operator.

Let's try multiplying the derivative operator d/dx by a constant c and applying it to the function:

c(d/dx)(1 + 8e^(2x)) = c(0 + 16e^(2x)) = 16ce^(2x)

We want this result to be equal to zero, so we can solve for the constant c:

16ce^(2x) = 0

c = 0

Therefore, the linear differential operator that annihilates the function 1 + 8e^(2x) is simply d/dx. In other words, taking the derivative of the function will result in zero.

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Answer:

because AB = AC => angle B = angle C

=> 4x - 2 = 6x - 8

<=> 2x = 6

<=> x = 3

Answer:

x=0 , x = 1/2

Step-by-step explanation:

(4x-1)=1 —> 4x-1=1—> 4x=1+1—> 4x=2 —> x=2/4 —> x= 1/2

-(4x-1)=1—>-4x+1=1—> 4x= 1-1 —> x=0

Hello there!

We are given the equation:

\( \displaystyle \large{ |4x - 1| = 1}\)

Definition/Property

\( \displaystyle \large{ |a| = \sqrt{ {a}^{2} } } \\ \displaystyle \large{ |a| = b \longrightarrow a = \pm b} \\ \displaystyle \large{ |a| = \begin{cases} a \: \: (x \geqslant 0) \\ - a \: \: (a < 0) \end{cases}}\)

First, cancel the absolute value sign and write plus-minus beside 1.

\( \displaystyle \large{ |4x - 1| = 1} \\ \displaystyle \large{ 4x - 1 = \pm 1} \\ \)

Break in two cases.

\( \displaystyle \large{ 4x - 1 = \begin{cases} 1 \\ - 1 \end{cases}} \\ \displaystyle \large{ 4x = \begin{cases} 1 + 1 \\ - 1 + 1 \end{cases}} \\ \displaystyle \large{ 4x = \begin{cases} 2 \\ 0 \end{cases}} \\ \displaystyle \large{ x = \begin{cases} \frac{2}{4} \\ \frac{0}{4} \end{cases}}\)

Therefore, x = 0 or 1/2

Let me know if you have any questions!

Topic: Absolute Value Function - Equations

Answer:

the date is 4 January today what was the date of week before is

Step-by-step explanation:

the the date is 29 December

Answer:

140

Step-by-step explanation:

Answer:

answer is 1 ) ( -2 -1 )

Step-by-step explanation:

4* (-1) - 2 (-2) = 0

Greetings from Brasil....

According to the statement of the question, we have:

isolating X we get

X = 8

Answer:

(D) 1+0.06m

Step-by-step explanation:

Let's say that m=$120

(A)= $127.2

(B)= $127.2

(C)= $127.2

(D)= $8.2

As you can see after I substituted in 120 for (m) and solved, D is the only equation that did not represent her current balance.

I hope this helps!

Answer:

D

Step-by-step explanation:

edge

Answer:

13

Step-by-step explanation:

Substitute x with -4

g(-4) = -2(-4) + 5

= 8 + 5

=13

The actual weight is 0.0042 pounds lighter than the labeled weight.

The actual weight of the chocolates is 0.3798 pounds, while the label on the bag states it should weigh 0.384 pounds. To determine how much lighter the actual weight is, we can calculate the difference between the two weights.

Subtracting the actual weight from the labeled weight, we get:

0.384 pounds - 0.3798 pounds = 0.0042 pounds.

Therefore, the actual weight is 0.0042 pounds lighter than the labeled weight.

It's important to note that this difference may seem small, but it can be significant depending on the context. Accuracy in labeling is crucial for various reasons, such as complying with regulations, providing precise information to consumers, and ensuring fair trade practices. Even minor discrepancies can impact trust and customer satisfaction.

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∠ABC = 76°

BC = 20.1

CA = 28.0

Solving the triangle means finding all unknown angles and sides of the triangle.

(i) Two of the angles (∠BCA = 60° and ∠CAB  = 44°) are given. To find the third angle (∠ABC), use one of the theorems stating that the sum of angles of a triangle is equal to 180°.

Therefore, the sum of angles of the triangle ABC is 180°. i.e

∠ABC + ∠BCA + ∠CAB = 180°

=> ∠ABC + 60° + 44° = 180°

=> ∠ABC + 104° = 180°

=> ∠ABC = 180° - 104°

=> ∠ABC = 76°

(ii) One side (BA) of the triangle is given. To get the other sides, we use the sine rule as follows;

=> \(\frac{sin60}{25} = \frac{sin44}{BC} = \frac{sin76}{CA}\)

=> \(\frac{sinBCA}{BA} = \frac{sinCAB}{BC} = \frac{sinABC}{CA}\)

Substitute the necessary values

\(\frac{sin60}{25} = \frac{sin44}{BC} = \frac{sin76}{CA}\)      ---------------------(ii)

(a) To get side BC, use the first two terms of equation (ii)

\(\frac{sin60}{25} = \frac{sin44}{BC}\)

Cross multiply

BC x sin 60 = 25 x sin 44

BC x 0.8660 = 25 x 0.6947

0.8660 x BC = 17.3675

BC = \(\frac{17.3675}{0.8660}\)

BC = 20.05

=> BC = 20.1 to the nearest tenth

(b) To get CA, use any two terms of equation (ii). Using the first and third terms, we have;

\(\frac{sin60}{25} = \frac{sin76}{CA}\)

Cross multiply

CA x sin 60 = 25 x sin 76

CA x 0.8660 = 25 x 0.9703

0.8660 x CA = 24.2575

CA = \(\frac{24.2575}{0.8660}\)

CA = 28.01

=> CA = 28.0 to the nearest tenth

Answer:

Test-retest

Step-by-step explanation:

Based on the information given it is an example of TEST-RETEST.

TEST-RETEST is a relibility test that is been conducted on a group of people twice but on a different day or different time reason been that once the group of people write the test ,they will be ask to come back and retake the same test a week later in order to assess whether the test results they wrote earlier on and the new test results they newly rewrite a week later are the same or for the sole aim of assessing the reliability of the new test they rewrite and the old test they wrote earlier.

Example a group of students may write a test on Friday in which the same group of students will be ask to come back and rewrite the same test the following Friday which inturn makes the students to write the same test twice.

Therefore this is an example of which type of reliability TEST-RETEST.

The solution to the system of simultaneous equations is x = 34/7, y = -13/7, z = -9/7.

To solve the system of simultaneous equations:

i. x + 2y + 3z = -5

ii. 3x + y - 3z = 4

iii. -3x + 4y + 7z = -7

We can use the matrix method or the augmented matrix to solve the equations. Let's use the augmented matrix method:

1 2 3 | -5

3 1 -3 | 4

-3 4 7 | -7

We'll perform row operations to transform the matrix into row-echelon form:

R2 = R2 - 3R1

R3 = R3 + 3R1

1 2 3 | -5

0 -5 -12 | 19

0 10 16 | 4

R2 = -R2/5

R3 = R3 + 2R2

1 2 3 | -5

0 1 12/5 | -19/5

0 0 56/5 | -36/5

R3 = (5/56)R3

1 2 3 | -5

0 1 12/5 | -19/5

0 0 1 | -9/7

R2 = R2 - (12/5)R3

R1 = R1 - 3R3

1 2 0 | 8/7

0 1 0 | -13/7

0 0 1 | -9/7

R1 = R1 - 2R2

1 0 0 | 34/7

0 1 0 | -13/7

0 0 1 | -9/7

The row-echelon form of the augmented matrix is obtained. Now, we can read off the solution to the system of equations:

x = 34/7

y = -13/7

z = -9/7

Therefore, the solution to the system of simultaneous equations is x = 34/7, y = -13/7, z = -9/7.

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3,000. 718 is larger than 499, automatically makes us round up

Answer:

3000

Step-by-step explanation:

since 2718

2 is in the thousandths place.

so we need to estimate the 7

we know 7 is greater then 5 so we need to ROUND UP

that means

rounded to the nearest thousand would be 3000

natural numbers, whole numbers, integer, rational number and real numbers

Natural numbers starts from 1 to positive infinity. 11 is between 1 and positive infinity. Hence, it is a natural number

Whole numbers start from 0 to positive infinity. 11 is between 0 and positive infinity. Hence, it is a whole number

Integer consists of natural numbers, 0 and the negative of the natural numbers (...-2, -1, 0, 1, 2....)

11 is between these sets of numbers. Hence it is an integer

Rational numbers are numbers that can be written as a fraction.

11 can be written as a fraction. Hence, it is a rational number

Irrational numbers cannot be written as a fraction. So this option is wrong

Real numbers consists of natural numbers, whole numbers, integers and rational numbers.

Since 11 fall in one of these, it is also a real number

The sets to which the following number 11 belongs to are natural numbers, whole numbers, integer, rational number and real numbers

Answer:

42-24n

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

Because it is $7 per day and x = the length of rental days, our equation will look something like this :

     y = 7x + 3

Hope this helps!