7. Carlos is renovating a house and hires a plumber to install the piping for 4 points
the new bathroom. The plumber charges an initial fee plus an hourly rate
for the number of hours it will take to complete the installation. The
function y = 100 + 35x can be used to model the total cost of the job, in
dollars. What does the slope in the expression of this function represent? *
the initial fee for the installation, $35
the initial fee for the installation, $100
the cost per hour of installation work, $35
the number of hours to complete the installation, x

Answer: 2x-y=0

Step-by-step explanation:

y=2x

-2x -2x

-1(-2x+y=0)

2x-y=0

Answer:

not clear enough

Step-by-step explanation:

0.4

The probability that an undergraduate business major intends to attend classes full-time in pursuit of an MBA degree depends on the individual student's preferences and situation. Generally speaking, studies have shown that about 40% of undergraduate business majors choose to pursue an MBA degree full-time after graduating. Therefore, the probability of an undergraduate business major pursuing an MBA degree full-time can be estimated at 0.4.

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Answer:  

the answer will be.

End Balance:   $665.50

Total Interest:   $115.50

Calculation steps:

Total Interest = $550 × 7% × 3

= $115.50

End Balance = $550 + $115.50

= $665.50

Step-by-step explanation:

\(~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$550\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ t=years\dotfill &3 \end{cases} \\\\\\ I = (550)(0.07)(3) \implies I = 115.5\)

Answer:

216

Step-by-step explanation:

Given the question :

6 × 6 × 6

This depicts the product of a certain number in three places

6 × 6 × 6 = 6³

6 * 6 = 36

36 * 6 = 216

Hence, 6³ = 216

Answer:

6 = z^2 + 49

Step-by-step explanation:

Answer:

z^2+14z+49

Step-by-step explanation:

=(z+7)(z+7)

=(z)(z)+(z)(7)+(7)(z)+(7)(7)

=z^2+7z+7z+49

=z^2+14z+49

We're given:

To find the area of the garden alone, we can subtract the area of the garden from the combined area of the garden and walkway:

\(4.5(8x + 4)-4(5.5x + 1.5)\)

Open up the parentheses:

\(= 36x +18 -22x - 6\)

Combine like terms:

\(= 36x +18 -22x - 6\\= 14x +18 - 6\\= 14x +12\)

The area of the walkway around the garden is 14x + 12.

Given:

An angle θ on the unit circle has a sine of \(\dfrac{1}{4}\).

To find:

The value of cosθ.

Solution:

We have,

\(\sin \theta=\dfrac{1}{4}\)

Since sinθ is positive, therefore, θ lies in first or second quadrant.

We know that,

\(\sin^2 \theta +\cos^2 \theta =1\)

\((\dfrac{1}{4})^2+\cos^2 \theta =1\)

\(\dfrac{1}{16}+\cos^2 \theta =1\)

\(\cos^2 \theta =1-\dfrac{1}{16}\)

Taking square root on both sides.

\(\cos \theta =\pm \sqrt{\dfrac{16-1}{16}}\)

\(\cos \theta =\pm \dfrac{\sqrt{15}}{4}\)

Therefore, the value of cosθ is either \(\dfrac{\sqrt{15}}{4}\) or \(-\dfrac{\sqrt{15}}{4}\).

Answer:

Step-by-step explanation:

3³ × (12-2) ÷ 2 =

27 × 10 ÷ 2 =

270 ÷ 2 =

135

What is interval in inequalities?

The first number in interval notation is the smallest value (located farthest to the left on the number line), and the second number is the greatest value (furthest right on the number line). If the inequality includes or equals (so either ≤ or  ≥), we will use square brackets. Additionally, if the inequality does not include or include less than (thus either < or >), use open brackets.

By using the above information,

1. (-∞, -8]

It can be written in interval notation as,  -∞ < x ≤ 8

2. [5, ∞)

It can be written in interval notation as, 5 ≤ x < ∞

3. (-2, ∞)

It can be written in interval notation as, -2 < x < ∞

4. [-10, ∞)

It can be written in interval notation as, -10 ≤ x < ∞

5. (-∞, 6)

It can be written in interval notation as, - ∞ < x < 6

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Answer:

y = 110°

Step-by-step explanation:

The inscribed angle CHF is half the measure of its intercepted arc CDF

The 3 arcs in the circle = 360°, thus

arc CDF = 360° - 160° - 60° = 140°, so

∠ CHF = 0.5 × 140° = 70°

∠ CHF and ∠ y are adjacent angles and supplementary, thus

y = 180° - 70° = 110°

Answer: D. Place each mosquito in its own numbered container (numbered from 1-40) in the order it was caught. Write the numbers from 1 to 40 on slips of paper, put the slips in a jar, and mix them well Pick 10 numbers out of the jar Assign the mosquitoes in the containers with those numbers to group A. Pick 10 more numbers for group B. Pick 10 more numbers for group C. Assign the remaining 10 mosquitoes to group D.

Step-by-step explanation:

This way of gathering the mosquitos is more randomized thus ensuring fair and comparable groups of 10 mosquitos each.

Answer:

The answer is D. I took this test!

Step-by-step explanation:

Answer:

the value of u=0

Step-by-step explanation:

Answer:

1,2,3,

Step-by-step explanation:

Answer:

x= 4

Step-by-step explanation:

40x-20=100+10x

Subtract 10x and add 20 both sides:

30x= 120

x=4

Answer:

144=12x+8y

x+y=14

Step-by-step explanation:

Answer:

12x + 8 (14 - x ) = $ 144

x + (14-x) = 14

Step-by-step explanation:

Total number of people = 14

Let the number of adults be x and the number of children be ( 14 - x)

Total cost for the group = $144

i.e., 12x + 8 ( 14-x) = 144

12x + 112 - 8x = 144

4x + 112 = 144

4x = 144-112

4x = 32

x = 32/4

x = 8

Number of adults = x = 8

Number of children = 14 - x = 14 - 8 = 6

Hope it helps : )

Answer:

c)41

Step-by-step explanation:

∠DBE = (∠ABE +∠DBC) -∠ABC

          = (74 + 103)  -136

          = 177 - 136

          = 41

Answer:

Step-by-step explanation:

Statement.                  Reasoning

1.AC=HF.                        1. Given

2.BC=FE.                        2. Given

3. Angle ACB=               3. Right angles are congruent

Angle HFE

4. Triangle ABC = Triangle 4. SAS, side angle side

HEF

Statement.                  Reasoning

1.AC=HF.                        1. Given

2.BC=FE.                        2. Given

3. Angle ACB=               3. Right angles are congruent

Angle HFE

4. Triangle ABC = Triangle 4. SAS, side angle side

HEF is the correct answer

Answer:

x=6

Step-by-step explanation:

The triangle is an equilateral triangle since all angles are 60 degrees

That means all sides are equal

3x-13 = x-1

Subtract x from each side

3x-13-x = x-1-x

2x-13 =-1

Add 13 to each side

2x= -1+13

2x = 12

Divide by 2

2x/2 =12/2

x = 6

Answer:

B. 6

Step-by-step explanation:

Two angles are 60 degrees, the other is also 60 degrees.

The triangle is an equilateral triangle.

All sides are equal.

3x - 13 = x - 1

3x - x = -1 + 13

2x = 12

x = 6

Answer:

What the heII happened? aight nvm It's function

Step-by-step explanation:

my old answer got deleted ;(

The average value of the function over the interval of 0 to 5 to be 1 - e-5.

The average value of the function Y = e-x over the given interval of 0 to 5 can be determined by using calculus. We must first take into account the definition of average value. The average value in an interval is calculated by taking the integral of f(x)dx, or in this case, e-x from 0 to 5, and dividing that by the length of the interval, which is 5 in this example.

Using calculus, we can solve for the integral of e-x from 0 to 5. To solve this, we must first use the fundamental theorem of calculus, which states that if F is an antiderivative of f, then the definite integral of f from a to b is equal to the difference between the values of F at b and a. We can then use the integration by parts method to solve for the definite integral of e-x from 0 to 5. After applying this principle, we find that the integral is equal to 5 - e-5.

Once we have the integral, we can now find the average value of the function over the given interval of 0 to 5. As stated earlier, the formula for finding average value is to take the integral of Y = e-x from 0 to 5 and divide it by the length of the interval. As the length of the interval is 5, we can now divide the integral of 5 - e-5 by 5. Doing this, we find the average value of the function over the interval of 0 to 5 to be 1 - e-5.

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The value upto two decimal is 18.73.

A decimal is a number that is divided into two parts: a whole and a fraction. Between integers, decimal numbers are used to express the numerical value of complete and partially whole quantities.

Then, there are two parts to a decimal number: a whole number part and a fractional part. The whole component of a decimal number has the same decimal place value system as the complete number.

Given digit 18.7347

to round off to two decimals

for rounding off we need to check the next digit of digit upto we round

the digit after 3 is 4 which is less than 5 then there is no change in digit,

so 18.73447 = 18.73

Hence the round 18.7347 is 18.73.

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Answer:

?

Step-by-step explanation:

Is this a question or-

Answer:

Where is question?

Step-by-step explanation:

........

Answer:

1/2

Step-by-step explanation:

y = mx + b is slope intercept form.

b = y intercept. where the line first passes through on the y axis

that number is 3.

y = mx + 3.

to find M (slope) you have to do RISE / RUN.

Run is going left or right from a point

Rise is going up or down from a point.

To make sure you find the slope, when you Rise and Run, it has to hit another point on the graph.

From the y - intercept 3, RISE (go up) 1 and RUN (go left) 2.

So, the slope is 1/2.

Understanding the truth values and logic behind these statements is important to correctly determine their validity. The questions that are True are B and D, and the questions that are A, C, and E.

a. False. In a conditional statement, if the antecedent (the "if" part) is false, the truth value of the conditional statement depends on the truth value of the consequent (the "then" part). If the consequent is true, the conditional statement is true, but if the consequent is false, the conditional statement is false.

b. True. In a disjunction (logical OR), if at least one of the disjuncts is true, then the entire disjunction is true. It only takes one true statement for the disjunction to be true.

c. False. Similar to statement a, if the consequent of a conditional statement is false, the truth value of the conditional statement depends on the truth value of the antecedent. If the antecedent is true, the conditional statement is true, but if the antecedent is false, the conditional statement is false.

d. True. In a conjunction (logical AND), for the entire conjunction to be true, all conjuncts must be true. If one conjunct is true, it guarantees that the conjunction will be true.

e. False. In a conjunction (logical AND), if at least one conjunct is false, the entire conjunction is false. All conjuncts must be true for the conjunction to be true. If any conjunct is false, the conjunction will be false.

Therefore, it's important to understand the truth values and logic behind these statements to correctly determine their validity.

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The fraction of the teacups that are either indigo or orange is 7/12.

A fraction refers to a part of a whole number.  It is a proportional value.

A fraction is a quotient that results from a division operation when the numerator is divided by the denominator.

In a proper fraction, the numerator is smaller than the denominator.  This is not the case with improper fractions where the numerator is larger than the denominator.

There are complex, proper, and improper fractions.

The fraction of teacups that are indigo = 1/3

The fraction of teacups that are orange = 1/4

The fraction that are either indigo or orange = 7/12 (1/3 + 1/4)

Thus, the fraction or proportion of the Tea Shop's teacups that are either indigo or orange is 7/12.

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Answer:

Translated how?

Step-by-step explanation: