Make x the subject of h=4(x+3y)+2

Answer:

y-9= -4(x+1)

Step-by-step explanation:

First, you should know what the format for point slope form is. y-y1=m(x-x1). Now, fill in the points to the x1 and y1 variables. It doesn't matter what ordered pair you use. If the number you fill in is negative, for example, -1, change it to a positive 1. If you're plugging in a positive number such as 9, it becomes -9. Now, it may look like this: y-9=m(x+1). However, you still need to find slope. You can use the expression y-y1/x-x1. 9-1=8. -1-1= -2. So, your slope is 8/-2. However, you can simplify this to -4. Now, plug in -4 to your equation to have your final answer: y-9=-4(x+1).

Answer:

The ball lands  18 feet from where it is kicked.

Step-by-step explanation:

Given : The path of a ball kicked from the ground can be modeled by the equation [tex]y=-\frac{1}{3}(x-3)(x-21)[/tex], where x and y are measured in feet. The x-axis represents the ground.

To find : How far does the ball land from where it is kicked?

Solution :

According to question,

The value of y is zero as it is kicked from ground.

So, [tex]0=-\frac{1}{3}(x-3)(x-21)[/tex]

Applying zero product property,

[tex]a\cdot b\cdot c=0\Rightarrow a=0\text{ or }b=0\text{ or }c=0[/tex]

i.e. [tex]-\frac{1}{3}\cdot (x-3)\cdot (x-21)=0[/tex]

[tex]x-3=0[/tex]

[tex]\Rightarrow x=3[/tex]

[tex]\text{ or }x-21=0[/tex]

[tex]\Rightarrow x=21[/tex]

The distance the ball land from where it is kicked is d=21-3=18.

Therefore, the ball lands  18 feet from where it is kicked.

The ball lands 18 feet from where it is kicked.

To find out how far the ball lands from where it is kicked, we need to determine the horizontal distance traveled by the ball when it hits the ground again. The x-axis represents the ground, so we are looking for the x-coordinate of the point where the ball lands, which is when y = 0.

Given the equation of the path of the ball:

[tex]\[ y = -\frac{1}{3}(x - 3)(x - 21) \][/tex]

We set y to 0 to find the x-coordinates where the ball touches the ground:

[tex]\[ 0 = -\frac{1}{3}(x - 3)(x - 21) \][/tex]

This equation can be factored to:

[tex]\[ 0 = (x - 3)(x - 21) \][/tex]

Setting each factor equal to zero gives us two solutions for x:

[tex]\[ x - 3 = 0 \quad \text{or} \quad x - 21 = 0 \][/tex]

[tex]\[ x = 3 \quad \text{or} \quad x = 21 \][/tex]

These solutions represent the x-coordinates where the ball is kicked (x = 3) and where it lands (x = 21). To find the distance between these two points, we subtract the smaller x-coordinate from the larger one:

 [tex]\[ \text{Distance} = 21 - 3 = 18 \text{ feet} \][/tex]

However, since the ball is kicked from the ground and lands back on the ground, the distance it travels horizontally is the absolute value of the difference between the two x-coordinates:

[tex]\[ \text{Horizontal distance} = |21 - 3| = |18| = 18 \text{ feet} \][/tex]

Answer:

yes (if no payments are made)

Step-by-step explanation:

If you have no new charges and you make no payments, you will incur interest costs every month.

Hence yes, you balance will increase by amount of interest owed.

Answer:

17.0°

Step-by-step explanation:

We want to solve

[tex] \tan(x) = \frac{3}{10} [/tex]

We take inverse tangent of both sides using a scientific calculator to get:

[tex]x = { \tan}^{ - 1} ( \frac{3}{10} )[/tex]

[tex]x = 16.6992[/tex]

We round to the nearest tenth to get;

[tex]x = 17.0 \degree[/tex]

Therefore the value of x is 17.0°

Answer:

{ 9/2 , square root of 100, 5.123}

Step-by-step explanation:

The answer would be an option (D) {5.123..., 1/2, -65}. This set does not contain any irrational numbers.

Real numbers are defined as the value of a continuous quantity that can represent a distance along a line of a real number in mathematics. Rational and irrational numbers are both real numbers. Rational numbers such as integers (-7, 0, 4), fractions(5/2,7/2, 4.2), and irrational numbers such as √5, π, etc., are all real numbers.

According to the given options

(A) {-5.12,pi,30}

Here the irrational number is pi

(B) {square root of 80, 100, 6.56}

Here the irrational number is the square root of 80 i.e. (√80)

(C) { 9/2, square root of 100, 5.123}

Here the irrational number is the square root of 100i.e. (√100)

(D) {5.123..., 1/2, -65}

Here this set does not contain any irrational numbers

Hence, the answer would be option (D) {5.123..., 1/2, -65}. This set does not contain any irrational numbers.

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Answer:

x=12, y=[tex]12 \sqrt{3} [/tex]

Step-by-step explanation:

Please see attached picture for full solution.

sinθ= opp/hyp

cosθ= adj/hyp

Answer:

c = 10 feet

Step-by-step explanation:

Use the Pythagorean theorem:  a^2 + b^2 = c^2

Step 1:  Plug in the information

(6)^2 + (8)^2 = c^2

36 + 64 = c^2

100 = c^2

sqrt(100) = sqrt(c^2)

10 = c

Answer: c = 10 feet

Answer:

351.9 cubic in

Step-by-step explanation:

The volume of a cylinder is hr²π.

r is half the diameter, so 8/2 is 4.

Plug in your h and r and get:

7 * 4² * π

7 * 16 * π

112π

Multiply the π and you'll get about 351.9 cubic in

The volume of the cylinder is 352 cu.inches.

A cylinder is a three-dimensional figure, it is made up of parallel circular discs of the same radius.

The cylinder consists of two circular bases, connected by a curved surface at a fixed distance.

A cylinder has a base diameter of 8 inches and a height of 7 inches.

The volume is the space occupied by a three-dimensional object.

The volume of the cylinder is given by the formula

V = πr²h

Here, r is the radius of the base,

h is the height of the cylinder.

The volume is determined in cubic units.

The value of r = diameter / 2

r = 8/2 = 4 inches

h = 7 inches.

Substituting these values in the formula to determine the volume,

Volume = (22/7) * 4² * 7

Volume = (22/7) * 16 * 7

Volume = 22 * 16

Volume = 352 cu.inches

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Answer:

4/5

Step-by-step explanation:

2/3 is  0.66666666

3/12 is 0.25

4/5 is 0.8

3/4 is 0.75

The largest fraction is 4/5.

Comparing Of Fractions.

To compare these fractions, make sure they all have the same denominator.

The lowest common factor is 60

Now, express each fraction with a denominator of 60.

2/3 = 40/60

3/12 = 15/60

4/5 = 48/60

3/4 = 45/60

Therefore, the largest fraction is 48/60 which is equivalent to 4/5.

So, 4/5 is the largest fraction among the given fractions.

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Answer:

192

Step-by-step explanation:

You can form a rectangle from sides 15 and 3, another rectangle with dimensions 10 and 9, another rectangle with dimensions 6 and 5, and a triangle with sides 9 and 6 (all formed by extending lines inside the figure, don't want to go into detail). Add all the areas and the answer would be 192:

15*3 =45

10*9=90

6*5=30

0.5*9*6=27;

45 + 90 +30 + 27 = 192 units squared

Answer:

The function increases at a constant multiplicative rate.

Step-by-step explanation:

I had it

The correct conclusion about the function is 2: "the function increases at a constant multiplicative rate".

Given information:

The value of function f(x) is shown in the below table:

x            0   1    2      3

f(x)         2   3   4.5   6.75

So, the value of x changes from 0 to 3, and the value of function f(x) changes from 2 to 6.75.

Following observations can be made using the given values:

From the above conclusions and the given options, it can be said that the correct option is 2.

Therefore, the correct conclusion about the function is 2: "the function increases at a constant multiplicative rate".

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The percent error in the kitchen scale's measurement is found using the formula ((Measured Value - Actual Value) / Actual Value) × 100%, resulting in a 25% error when comparing the scale's reading of 2 pounds to the actual weight of 1.6 pounds.

The question asks to find the percent error for a kitchen scale when measuring the weight of a piece of fruit. The percent error is a way of comparing the accuracy of a measurement to the actual value, and it's calculated using the formula: Percent Error = ((|Measured Value - Actual Value|) / Actual Value) × 100%. In this case, the measured value is 2 pounds and the actual value is 1.6 pounds.

First, subtract the actual value from the measured value: 2 - 1.6 = 0.4 pounds. Then, divide this difference by the actual value: 0.4 / 1.6 = 0.25. Finally, multiply by 100% to find the percent error: 0.25 × 100% = 25%.

Therefore, the percent error for the kitchen scale is 25%. This calculation helps in understanding the accuracy and reliability of measurements taken by the scale.

Answer:

55°

Step-by-step explanation:

The angle 305° is in the fourth quadrant

To find the related acute angle ( the reference angle ) subtract from 360°

reference angle = 360° - 305° = 55°

Answer:

1:4

Step-by-step explanation:

1:4=11:44

Option 1. [tex](-2)(5x) + (-2)(-\frac{3}{4})[/tex] and option 4.[tex]-10x + \frac{3}{2}[/tex] are equivalent to [tex]-2(5x-\frac{3}{4} ).[/tex]

Step-by-step explanation:

Step 1:

The given expression is expanded as follows.

The -2 is multiplied with the 5x and then the -2 is multiplied with the [tex]-\frac{3}{4}[/tex].

So the expression becomes as follows;

[tex]-2(5x-\frac{3}{4} ) = (-2)(5x) + (-2)(-\frac{3}{4}).[/tex]

This is the first option given so the first expression is equivalent.

Step 2:

[tex]-2(5x-\frac{3}{4} ) = (-2)(5x) + (-2)(-\frac{3}{4}) = -10x + \frac{6}{4} = -10x + \frac{3}{2} .[/tex]

Of the other four options, only the fourth expression has the fraction [tex]\frac{3}{2}[/tex] so the fourth expression is also equivalent.

Expressions 1 and 4 are equivalent to the given expression.

Answer:

Look for the parallelograms  , or squares , or rectangles . Those quadrilaterals are usually trapezoids .

Step-by-step explanation:

Answer:

You cna have trapezoid and isosceles trapezoid both have either inward end lengths and parallel lines so some look like a flat roof with identical slant. one going one way and the other slant going the other.

Step-by-step explanation:

Answer:

Radius is 5/2 or 2.5 inches

Step-by-step explanation:

C = 2πr

5π/2π = 2πr/2π

5/2 = r

Answer:  Radius is 5/2 or 2.5 inches

The specific answer is

7.74596669241

Answer:

[tex]3.6 {m}^{2} [/tex]

Step-by-step explanation:

The area of a rectangle is length times width.

We divide the polygon into 4 rectangles:

The area of the first rectangle is :

[tex]0.4 \times 0.4 = 0.16 {m}^{2} [/tex]

The area of the second rectangle is

[tex]2.4 \times 0.6 = 1.44 {m}^{2} [/tex]

The area of the 3rd rectangle is

[tex]1.6 \times 1 = 1.6 {m}^{2} [/tex]

The area of the fourth rectangle is

[tex]0.4 \times 1 = 0.4 {m}^{2} [/tex]

Putting all together, the area of the polygon is;

0.16+1.44+1.6+0.4=3.6m²

Answer:

12.5 pages

Step-by-step explanation:

32/2= 16 min per page

200/16= 12.5 pages

or

200/x = 32/2

200/32= 6.25

6.25*2= 12.5

Answer:

Step-by-step explanation:

12.5

because you divide and then multiply it by 2

Answer:

3,220

Step-by-step explanation:

3220 is how much food you will need for both elephants

Answer:

Yes, it could be a triangle.

Step-by-step explanation:

If the Pythagorean Theorem is satisfied, then these three side lengths represent a right triangle:  

21^2 + 28^2 = 36^2  =>  1225 = 1296  FALSE; we don't have a right triangle here.

However, the sum 21 + 28 is greater than 36, so we could indeed construct a triangle from these 3 side lengths.  It just wouldn't be a right triangle.

Answer:

D

Step-by-step explanation:

Hence the value of x is 8

Answer:

8

Step-by-step explanation:

12/x = 3/2

(x)(12/x)=3/2x

12=3/2x

(12)(2/3)=x

8=x

Answer:

42% acid

Step-by-step explanation:

Suppose that these two storage containers are filled to complete capacity?

That makes the second container have 3 volume parts and the first container having 2 volume parts.

v*(1.50)= (3/2)*v

First Container     2v       30% acid

Second Container    3v       50% acid

The mixture of all of this is in the third container. Two parts plus three parts is 5 parts for the mix volume.

=(2*30+3*50)/5

=210/5

=42

So,

42 % Acid, mixture

Final answer:

After calculating the quantities of acid from both containers and their total volume, the final acid concentration in the mixture in the third container is found to be 42%.

Explanation:

The student has asked about finding the percentage of acid in a third container after mixing two solutions with different acid concentrations. This question involves proportion and percentage calculations, which are commonly covered in high school mathematics.

To find the final concentration of acid in the third container, we can use the formula final concentration = (quantity of acid in container 1 + quantity of acid in container 2) / total volume. Assume the first container has a volume of V liters. Since the second container is 50% larger, it has a volume of 1.5V liters.

Acid in the first container = V liters × 30% = 0.3V liters

Acid in the second container = 1.5V liters × 50% = 0.75V liters

Total volume = V + 1.5V = 2.5V liters

Thus, the final concentration of acid = (0.3V + 0.75V) / 2.5V = 1.05V / 2.5V = 42%.

The final acid concentration in the third container is 42%.

Answer:

12

Step-by-step explanation:

divide 9 by 3/5 or .75

Answer:

[tex]\angle ACD = 130 ^\circ[/tex].

Step-by-step explanation:

[tex]\angle ABC[/tex] and [tex]\angle EBC[/tex] are supplementary angles. Their sum should be [tex]180^\circ[/tex].  [tex]\angle EBC = 120^\circ[/tex] [tex]\implies \angle ABC = 180^\circ - \angle EBC = 180^\circ - 120^\circ = 60^\circ[/tex].

The sum of the three angles in triangle [tex]\triangle ABC[/tex]: [tex](\angle ABC + \angle BAC + \angle ACB)[/tex] should be equal to [tex]180^\circ[/tex].

[tex]\angle ABC = 60^\circ[/tex] and [tex]\angle BAC = 70^\circ[/tex] [tex]\implies \angle ACB = 180^\circ - \angle ABC - \angle ACB = 180^\circ - 70^\circ - 60^\circ = 50^\circ[/tex].

[tex]\angle ACB[/tex] and [tex]\angle ACD[/tex] form another pair of supplementary angles. Their sum should also be [tex]180^\circ[/tex]. [tex]\angle ACB = 50^\circ[/tex] [tex]\implies \angle ACD = 180^\circ - \angle ACB = 180^\circ - 50^\circ = 130^\circ[/tex].

Answer:

sum should also be . .

Step-by-step explanation:

I believe that y=17.8

I hope that helps you!

Answer:

C(t) = 6 + .4t

Step-by-step explanation:

Since there is a constant rate of 6 for the first 5 minutes, that would be a value itself. After that, it would always differ by .4 every minute, making this the function.