Select the value of x that makes the equation “16 = -4(x - 1) + 4” true?
• -2
• 2
• -4
• 4

The liter of oil tin contained

The liter of oil used and leak

The liter of oil left in the tin

~nightmare 5474~

Answer:

2.2 l of oil was left.

Step-by-step explanation:

\(Total=10\frac{3}{5} =10.6l\\Used=7\frac{1}{10} =7.1l\\Leaked=1\frac{2}{7} =1.28l\\\)

Total used=7.1l+1.28l=8.38l

\(Left=10.6l-8.38l=2.22l\)

Answer:

it is 10 and 40 i think

Answer:

slope = -3

Step-by-step explanation:

The function f(x) = -3x + 125 is a linear function in slope-intercept form y = mx + b.  The slope, m, is -3.  This means that for every increase of 1°C, 3 less fish are caught.  

Answer:

Step-by-step explanation:

For a parallelogram the diagonals (and half diagonals are equal. So we can say

3m=m+8

2m=8

m=4

And we can also say that

3m+m+8=2n-1+9

4m+8=2n+8

4m=2n

2m=n, and since we know m=4

n=2(4)

n=8

So m=4 and n=8

Answer:

5

Step-by-step explanation:

Rate of change of the equation y = 5x + 4 can be obtained by differentiating it with respect to x.

\( \because \: y = 5x + 4 \\ \therefore \: \frac{dy}{dx} = \frac{d}{dx} (5x + 4) \\ \\ = 5 \frac{d}{dx} x + \frac{d}{dx} 4 \\ \\ = 5 \times 1 + 0 \\ \therefore \: \frac{dy}{dx} = 5 \\ \)

Hence, rate of change of y = 5x + 4 is 5.

The rate of change for the equation y = 5x + 4 is 5.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 9 is an equation.

We have,

y = 5x + 4

We can substitute any two values for x.

x = 1,

y(1) = 5 + 4 = 9

x = 2,

y(2) = 10 + 4 = 14

Now,

The rate of change.

= y(2) - y(1) / (2 - 1)

= (14 - 9) / 1

= 5

Thus,

The rate of change is 5.

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Answer:

c I had the same worksheet

Step-by-step explanation:

Step-by-step explanation:

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\(\huge{\purple{\underline{\underline{\bf{\pink{Given}}}}}}\)

It is a parrelogram

\(\huge\star{\underline{\mathtt{\red{To}\pink{f}\green{i}\blue{n}\purple{d}\orange{-:}}}}⋆\)

X and Y

Solution

angle a = c. (opposite angles of 11gm is equal)

put the values of and c

x+45 = 3x-13

now take the variables to the l.H.S and number to R.H.S

x-3x = -13-45

-2x. = 58

x. = 58÷2

x. = 29

angle d + c = 180° (cointerior angle)

y + 3(29) + 13 =180°

y + 100 = 180°

y. = 80

Hope it helps

The problematic tendencies that can be diminished by thinking in terms of degrees of confidence rather than binary belief are overconfidence and bias.

Habits, behaviors, or mental patterns that are problematic or undesired and have the potential to produce bad results or issues are known as problematic inclinations. Thinking about degrees of confidence allows one to adopt a more complicated and probabilistic approach to decision-making by considering the information's uncertainty and complexity.

According to the text and lecture, focusing on confidence levels rather than having a strong or weak conviction might assist reduce negative reasoning tendencies like overconfidence in one's beliefs and actions, overgeneralization and oversimplification of complicated situations. Confirmation bias is the practice of selectively seeking out and interpreting data in a way that confirms one's preexisting ideas, and belief persistence is the practice of refusing to change one's beliefs in the face of new evidence.

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Answer:

x = 145

Step-by-step explanation:

x and 35° lie on a straight line and are supplementary angles , sum to 180°

x + 35 = 180 ( subtract 35 from both sides )

x = 145

Answer: y=-2x+7

Step-by-step explanation:

If all you are asking for is to solve for y, then that means you have to isolate this variable. You can do so by simply subtracting 2x from both sides of the equation. This leaves you with y=-2x+7. Hope this helps!

Equaling both equations, it is found that the correct option that states the number of solutions you will have for the system is:

The equations are:

\(4y + x = 16 \rightarrow x = 16 - 4y\)

\(y = 4 - x \rightarrow x = 4 - y\)

Equaling both equations for x, we have that:

\(16 - 4y = 4 - y\)

\(3y = 12\)

\(y = \frac{12}{3}\)

\(y = 4\)

\(x = 4 - y = 4 - y = 0\)

Hence, the system has one solution, which is (0,4), and option d is correct.

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Multiply the price or amount by 0.9 or 90% to get rhe sale price

Answer:

\(y=\frac{5}{4} x\)+17

Step-by-step explanation:

Okay for this you take the point (-8+7) and plug it into the equation getting you this 7=\(\frac{5}{4}\)(-8)+b

If you multiple \(\frac{5}{4\\}\) by -8 you get -10

You then add -10 to the other side to get 17

that means 17=b

meaning you get \(y=\frac{5}{4} x\)+17 by plugging in 17 to b

Answer:

Mixed number: 8.72=8 72/100

Improper fraction: 8.72= 872/100

Step-by-step explanation:

8 is in the ones place, 7 is in the tenths place, and 2 is in the hundreths place, which makes 8.72. In fractions, that would be 8 wholes, and 72/100, which is 8 72/100. After that, you can turn it into an improper fraction by doing 8x100, which is 800, then you add 72, which is 872. That makes 872 the numerator, and 100 the denominator, which makes 872/100.

Btw (I didn't simplify, as the problem states against it!)

Step-by-step explanation: Well to begin, you take 15$ and multiply it by 4, since he wants to buy 4 of those tickets, which is 60$. Then, take the 10$ and multiply it by 2 since he wants 2 of those tickets, which is 20$, you then apply 10% to 60 and 20 by taking 10 percent of 60, then adding  it to 60 once have that, which is 66, you take the 3% and find 3% of 66, then add the answer of that to 66, which is 67.98$, you then do the same thing to the 20$.

Sorry if this didnt help, im sure it didnt because im a very bad explainer, but i tried..

Answer:

a)

b)-4

Step-by-step explanation:

a) f(13) = 13-7=

b) f(3)= 3-7= -4

Answer:

m = 2

Step-by-step explanation:

Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)

Simply plug our coordinates into the slope formula and solve for m:

m = (5 - 3)/(4 - 3)

m = 2/1

m = 2

Answer:

Step-by-step explanation:

Let the points be A and B

A( 3 , 3 ) -----> ( x1 , y1 )

B(4 , 5 ) ------>( x2 , y2 )

Now,

finding the slope,

Slope =\( \frac{y2 - y1}{x2 - x1} \)

\( = \frac{5 - 3}{4 - 3} \)

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

\( = 2\)

Hope this helps...

Good luck on your assignment..

If Jared uses two theorems together to make a conjecture about the sum of the interior angles of pentagons, Jared is using deductive reasoning. Correct option is B.

Deductive reasoning is a logical process in which a conclusion is reached by applying general principles or known information to specific situations. In this case, Jared is using two theorems, which are general principles that have been proven to be true, to make a conclusion about a specific situation, the sum of interior angles of pentagons.

The conclusion that Jared makes is a conjecture, which is a hypothesis or a tentative conclusion that is based on limited evidence or observation.

In contrast, inductive reasoning is a logical process in which a conclusion is reached based on a series of observations or specific instances. Inductive reasoning involves making generalizations based on specific observations, which can lead to a hypothesis or a theory.

Therefore, Jared's use of two theorems to make a conclusion is an example of deductive reasoning. Correct option is B.

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Answer:

I think it is p= $60

Step-by-step explanation:

0 <= income <= 31000 : 10.8%

31000 < income <= 31000+36000 = 67000 : 12.75%

67000 < income < anything above 67000 : 17.4%

the total income is

$85,000

the taxes paid are

10.8% of 31000 = $3348

12.75% of 67000 - 31000 = 12.75% of 36000 = $4590

17.4% of 85000 - 67000 = 17.4% of 18000 = $3132

so, out of $85000 you paid

3348

4590

3132

----------

$11,070

taxes

100% = 85000

1% = 100%/100 = 85000/100 = 850

how many % are 11070 ?

well, as many as how often 1% fits into that amount :

11070 / 850 = 13.02352941...% ≈ 13.02%

The Gini coefficient is 2(−13/30) = -13/15.

The Lorenz curve L(p) can be expressed as the cumulative distribution function of a random variable X. The Gini coefficient is then given by the area between the diagonal line (representing perfect equality) and the Lorenz curve L(p).

In other words, the Gini coefficient is the ratio of the area between the diagonal line and the Lorenz curve to the total area under the diagonal line.

The Lorenz curve for the state can be given as L(p)=p^4/3.Ron can compute the Gini coefficient by finding the area between the diagonal line and the Lorenz curve.

The diagonal line goes from (0,0) to (1,1).The area under the diagonal line is 1/2.

The area between the diagonal line and the Lorenz curve is given by∫[0,1](L(p)−p)dp=

∫[0,1](p^4/3−p)dp

=(1/15)−(1/2)

= -13/30

The Gini coefficient can be negative when the Lorenz curve lies above the diagonal line, which indicates that the distribution is more equal than the hypothetical distribution of perfect equality.

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Area of sector would be,

⇒ Area of sector = 102.6 feet squared

We have to given that,

Radius of circle = 14 ft

Angle θ = 60°

Now, We know that,

Area of sector = [θ/360]πr²

Where, r is radius of circle.

Hence, We can substitute all the values, we get;

Area of sector = [θ/360]πr²

Area of sector = [60/360](22/7)(14)²

Area of sector = [1/6][22/7][196]

Area of sector = 102.6 feet squared

Thus, Area of sector would be,

⇒ Area of sector = 102.6 feet squared

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Answer:

Total profit=$35x+$18(130-x)

Total profit=$35x+$2340-$18x

Total profit=$17x+$2340

Step-by-step explanation:

Answer:

30 markers

Step-by-step explanation:

We need to divide 24 by 8 to find how many packs of 10 markers we can buy, this gets us 3 packs of 10 markers. I hope this helps!

The term that should be added to the expression to make the expression perfect square trinomial is 169/4. The expression then becomes : (y - 13/2)²

What is meant by a perfect square trinomial?

By multiplying a binomial by another binomial, perfect square trinomials—algebraic equations with three terms—are created. A number can be multiplied by itself to produce a perfect square. Algebraic expressions known as binomials are made up of simply two words, each of which is separated by either a positive (+) or a negative (-) sign. Similar to polynomials, trinomials are three-term algebraic expressions.

A perfect square trinomial expression can be created by taking the binomial equation's square. If and only if a trinomial satisfying the criterion b² = 4ac has the form ax² + bx + c, it is said to be a perfect square.

Given expression y² - 13y + ?

Comparing with the general equation

a = 1

b = -13

For perfect square trinomial

b² = 4ac

(-13)² = 4 * 1 * c

169 = 4c

c = 169/4

So the expression becomes,

y² - 13y + 169/4 = (y - 13/2)²

Therefore the term that should be added to the expression to make the expression perfect square trinomial is 169/4.

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The area should the base of the new container must have option D that is, A = 2m-10.

In mathematics, area is a measurement of the size of a two-dimensional surface or shape, usually measured in square units such as square meters, square centimeters, or square feet. It is the amount of space inside the boundary of a flat object or shape.

Here,

To calculate the area of the base of the new container, we need to find the radius of the container first. Since the diameter is given as 10 cm, the radius would be half of that, which is 5 cm. The formula for the area of a circle is A = πr², where A is the area and r is the radius. So, substituting the values, we get:

A = π(5 cm)²

A = π(25 cm²)

A = 25π cm²

However, the answer choices are not in this format. To simplify the answer, we can use the value of π as approximately 3.14 (rounded to two decimal places). So, the area of the base would be:

A = 25π cm²

A ≈ 25(3.14) cm²

A ≈ 78.5 cm²

Now, we need to choose the answer option that represents this area in terms of variables. The only option that matches is:

d. A = 2m-10

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Complete question:

Question 6. One of the bases of a container for storing gasoline has broken and it is necessary to buy a new one. The diameter of the container is 10 cm. What area should the base of the new container have?

a. A = -10²

b. A = 2m-5

c. A = -5²

d. A = 2m-10

Answer:

8 [cm].

Step-by-step explanation:

1. if original length of the side is 'a', then the final length of it after lengthenening is (a+5);

2. if the final area becomes 169, then it is possible to make up the equation of the final area:

(a+5)²=169;

3. solution of the equation above is a=8. It means the initial/original length was 8.