How do I do these questions ??

The "value of x" in algebraic expression represented as "3x + 2 = 8" , in decimal form is 2.0   .

We have to solve the algebraic  expression "3x + 2 = 8" for value of x, we first need to separate the "variable x" on one side of the equation.

So , we subtract "2" from both sides of expression  ,

we get ;

⇒ 3x + 2 - 2 = 8 - 2  ;

Simplifying the left hand side, we get:

⇒ 3x = 6 ;

To solve for the variable x, we on divide both sides by 3 ;

⇒ 3x/3 = 6/3  ;

Simplifying, we get:

⇒ x = 6/3 = 2 .

Therefore, the value of x in the algebraic expression "3x + 2 = 8" is 2 , which is 2.0 when expressed as a decimal.

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The given question is incomplete , the complete question is

What is the value of x in the algebraic expression "3x + 2 = 8" ? Enter your answer, as a decimal . Do not round your answer.

Answer:

11300

Step-by-step explanation:

The closest 100 to 11311 is 11300

If the number was 11351 you would round up to 11400

The relationship representing the amount of water remaining in the pool when using the large hose to pump out is

a. 1200 - 60x = y

The amount of water to be pumped out = 1200 gallons

The rate of pumping out using the small hose 20 gallons of water per minute. = -20x

let each minute be x, hence every minute 20x volume of water leaves the pond

The equation is represented as

water remaining = 1200 - 20x

in 2 hours, we have  120 minutes, when will the water finish

water remaining = 0 = 1200 - 20x

20x = 1200

x = 1200 / 20

x = 60 minutes hence 1 hour

For the large hose the rate of pumping out is tripled hence

water remaining = 1200 - 60x

y = 1200 - 60x

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Answer:

y = 3x

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - [tex]\frac{1}{3}[/tex] x + 4 ← is in slope- intercept form

with slope m = - [tex]\frac{1}{3}[/tex]

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{1}{3} }[/tex] = 3 , then

y = 3x + c ← is the partial equation

to find c substitute (- 1, - 3 ) into the partial equation

- 3 = 3(- 1) + c = - 3 + c ( add 3 to both sides )

y = 3x + 0 , that is

y = 3x

Polygon ABCD was dilated by a scale factor of 2 to create A'B'C'D'.

Dilation is the increase or decrease in the size of a figure by a scale factor of k, thereby creating an image. Resizing an object is accomplished through the transformation of dilation. The objects can be enlarged or shrunk using dilation. The result of this transformation is an image that has the same shape as the original shape. The size of the shape varies, though. A dilation should either stretch or contract the original shape. The term "scale factor" describes this transformation.

From the diagram:

Scale factor = A'B' / AB = 6/3 = 2

Center = (6, -6)

Polygon ABCD was dilated by a scale factor of 2 to create A'B'C'D'.

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Answer:

∠1 and ∠3

Step-by-step explanation:

The other pair of vertical angles are ∠2 and ∠4

Answer:

letter R rounded off to the nearest tenth is 40

15 is the answer because this is the nearest

The solution to each of the exponent problems are;

a) 10¹¹

b) 10²

c) 10⁴

d) 10¹²

The seven laws of exponents are;

1) Product of powers rule.

2) Quotient of powers rule.

3) Power of a power rule.

4) Power of a product rule.

5) Power of a quotient rule.

6) Zero power rule.

7) Negative exponent rule.

The given expressions are;

a) 10⁵ × 10⁶

= 10⁵⁺⁶

= 10¹¹

b) 10⁴ × 10⁻²

= 10⁴⁻²

= 10²

c) 10⁸/10⁴

= 10⁸⁻⁴

= 10⁴

d) 10⁹/10⁻³

= 10⁹⁻⁽⁻³⁾

= 10⁹⁺³

= 10¹²

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The measure of the angle m∠AEB, found using the angle of intersecting secant theorem, where the measure of the arcs intercepted by the secants are m[tex]\widehat{AB}[/tex] = 54°, and m[tex]\widehat{CD}[/tex] = 66° is; m∠AEB = 6°

The angle of intersecting secant theorem states that the measure of the angle formed by the intersection of two secant is half the positive difference of the arcs intercepted by the secants.

Please find attached the possible drawing in the question, obtained based on the specified parameters and on similar questions on the internet, created with MS Word.

The parameters indicates that we get;

m[tex]\widehat{AB}[/tex] = 54°

m[tex]\widehat{CD}[/tex] = 66°

The angle of intersecting secants theorem indicates that we get;

m∠AEB = (1/2) × (m[tex]\widehat{CD}[/tex] - m[tex]\widehat{AB}[/tex])

Therefore;

m∠AEB = (1/2) × (66° - 54°) = 6°

m∠AEB = 6°

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Answer: Let's assume that the marked price of the watch is M.

The discount amount would be 20% of M, which can be calculated as:

0.2 * M = 0.2M

The selling price after the discount would be:

M - 0.2M = 0.8M

The VAT amount would be 13% of the selling price after the discount, which can be calculated as:

0.13 * 0.8M = 0.104M

Now, as the discount amount is Rs.192 more than the VAT amount, we can write an equation:

0.2M = 0.104M + 192

0.096M = 192

M = 192 / 0.096 = 2000

So, the marked price of the watch is Rs.2000 and the selling price after the discount and VAT is 0.8M = 0.8 * 2000 = 1600.

Step-by-step explanation:

Answer:

D

Step-by-step explanation: for p(x), the slope from 0 to 3 is 30, meaning if linear every time x increases by 3, the y value should as well, meaning that six as an x value to be linear should have been 90, but it was not.

For q(x), the slope from 0 to 3 is 90, and following the same thing from above, this means for every 3 units moved on the x, it should increase by 90 units on the y. This means 6 to be linear should have been 200 but instead was 380 making it also nonlinear

Answer:

will earn in interest $ 180

Answer:

Step-by-step explanation:

To find the distance between a line and a point, we need to find the perpendicular distance from the point to the line. Here's the step-by-step process:

Find the equation of the line perpendicular to ℓ that passes through point F(-1, 7): Since the slope of line ℓ is -1, the slope of the perpendicular line will be the negative reciprocal of -1, which is 1. To find the equation of the line, we need a point and the slope. Point F(-1, 7) will be used, and the slope is 1.

Using the point-slope form of a line, we can write the equation of the perpendicular line passing through point F as: y - 7 = 1(x + 1). Simplifying, we get: y = x + 8.

To find the point of intersection between the two lines, we can substitute the equation of line ℓ into the equation of the perpendicular line:

-x + 4 = x + 8

Solving for x, we get x = 6. Substituting x = 6 into the equation of line ℓ, we get:

y = -6 + 4 = -2

So, the point of intersection between the two lines is (6, -2).

To find the distance between the point F and the line ℓ, we can use the distance formula:

distance = √((x2 - x1)^2 + (y2 - y1)^2)

where (x1, y1) is the point F(-1, 7) and (x2, y2) is the point of intersection (6, -2).

So, substituting the values into the formula:

distance = √((6 - (-1))^2 + ((-2) - 7)^2) = √((7)^2 + (9)^2) = √(49 + 81) = √(130) = approximately 11.3

Therefore, the distance between the line ℓ and point F is approximately 11.3 units.

The surface area of the pyramid is 116.4 sq. ft.

The area is the area occupied by a two-dimensional flat surface. It has a square unit of measurement. The surface area of a three-dimensional object is the space taken up by its outer surface. Square units are used to measure it as well.

For each three-dimensional geometrical shape, surface area and volume are determined. The area or region that an object's surface occupies is known as its surface area. Volume, on the other hand, refers to how much room an object has.

The surface area of the pyramid is calculated by adding the area of all the faces of the pyramid.

The area of the triangle is given as:

A = 1/2 (b)(h)

For the face of the pyramid:

b = 12 and h = 9

Substituting the values we have:

A = 1/2 (12)(9)

A = 54 sq. ft

The pyramid consists of three faces thus,

A = 3(54) = 162 sq ft

For the base of the pyramid:

b = 12 and h = 10.4 ft

A = 1/2(12)(10.4)

A = (6)(10.4)

A = 62.4 sq ft

The surface area of the pyramid is:

SA = 54 + 62.4

SA = 116.4 sq. ft

Hence, the surface area of the pyramid is 116.4 sq. ft.

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If sentence be "Seven subtracted from b is less or equal to -18" then the inequality be b – 7 ≤ -18

A relationship between two expressions or values that is not equal to each other is known as inequality in mathematics. Thus inequality emerges from an imbalance.

Both equations and inequalities are mathematical phrases created by connecting two expressions. The equal sign (=) in an equation denotes that the two expressions are regarded as equal. In contrast, an inequality indicates that the two phrases are not always equal by using the symbols >, <, ≤ or ≥.

An inequality symbol represents that the expressions on each side are not equal. It indicates that the expressions on the left and right should be bigger or less than one another, or vice versa.

Let the given sentence be "Seven subtracted from b is less or equal to -18" then the inequality be b – 7 ≤ -18

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Answer:

5/2 hours      or      2 hours and 30 minutes

Step-by-step explanation:

The x represents the time it took Mrs. Ritts to mow the front yard. We don't know this time so put it as a variable. We also know that the time to mow her backyard is equal to 2 times the variable and then minus 2.

Equation:   3 = (2x) - 2  

Now we just isolate the x. First, start by adding 2 to both sides.

5 = 2x

Now just divide both sides by 2.

5/2 = x

5/2 as a mixed number would be 2 and 1/2 so that means the time would be 2 and a half hours.

Answer: look at the image for the answer and the solution

Step-by-step explanation:

Answer:

EF this is the correct answer

Answer:

3/400 per min

Explanation:

Divide the rate at which he can walk by the number how mins he can walk at that rate

Answer:

The company must make $450.

If the company must pay $300, then you will take 300, and since they want to make a profit, which means 1500 dollars more once they pay the 300, the you will add that to 300.

300 + 150 = 450

Now to find how many weeks it will take, you will divide 450 by 60:

450/60 = 7.5

It will take 7 1/2 (or round it to 8)weeks to gain $450, which is enough money to pay the bank $300, and make a profit of $150.

Step-by-step explanation:

Hope it helps! =D

The equation of the circle is (x-3)^2 + (y-4)^2 = 85.the equations of the tangents to the circle that are perpendicular to the line 3y-4x-24=0 are     y = (-4/3)x + 11 and y = (-4/3)x + 9.

First, we find the center of the circle. Since the circle touches the line 3y-4x-24=0 at the point (0,8), the center must lie on the line perpendicular to this line and passing through (0,8), which has the equation 4y + 3x - 32 = 0. The intersection of this line with the line passing through (7,9) and perpendicular to the line 3y-4x-24=0 gives us the center of the circle:

Solving the equations 3y - 4x - 24 = 0 and 4y + 3x - 32 = 0 gives us the point (3,4), which is the center of the circle.

Now, we can find the radius of the circle by using the distance formula between the center (3,4) and the point (7,9):

r = √((7-3)^2 + (9-4)^2) = √(85)

So the equation of the circle is (x-3)^2 + (y-4)^2 = 85.

To prove that the circle also touches the x-axis, we need to show that the distance from the center (3,4) to the x-axis is equal to the radius. The equation of the x-axis is y=0, so the distance from (3,4) to the x-axis is simply 4. Since the radius is sqrt(85), which is also approximately equal to 9.22, we can see that 4 is indeed equal to the radius, so the circle touches the x-axis.

To find the equations of the tangents to the circle that are perpendicular to the line 3y-4x-24=0, we first find the slope of this line, which is 3/4. The slope of a line perpendicular to this line is the negative reciprocal, which is -4/3.

To find the points of tangency, we need to find the intersection points of the line passing through (3,4) with slope -4/3 and the circle (x-3)^2 + (y-4)^2 = 85. This gives us two points of tangency: (0,7) and (6,1).

The tangent lines at these two points can be found using the point-slope form of the equation of a line, with the slope equal to the negative reciprocal of the slope of the line 3y-4x-24=0:

At (0,7), the tangent line has the equation y - 7 = (-4/3)(x-0), which simplifies to y = (-4/3)x + 7 + 4 = (-4/3)x + 11.

At (6,1), the tangent line has the equation y - 1 = (-4/3)(x-6), which simplifies to y = (-4/3)x + 9.

Therefore, the equations of the tangents to the circle that are perpendicular to the line 3y-4x-24=0 are y = (-4/3)x + 11 and y = (-4/3)x + 9.

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Using fitted curve, a similar new blockbuster would expect

A fitted curve is a curve that is created to model a set of data points, such that the curve passes as closely as possible to the points. The process of finding a fitted curve is called curve fitting or regression analysis.

Tracing the fitted curve, we have that

week 1 = 150 million

Week 2 = 75 million

Week 3 =  40 million

Week 4 =  25 million

Adding up the amounts

= 150 + 75 + 40 + 25

= 290 million

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The probability that at least one of the next five birds he sees is a song sparrow is 0.65

From the question, we have the following parameters that can be used in our computation:

05716    16803   96568    32177      33855

76635    92290  88864     72794    14333

79019     05943   77510      74051    87238

97895      86481   94036    12749    24005

Also, we have:

Using the above as a guide, we have the following individual representations of at least one sparrow bird

Yes   Yes Yes No Yes

Yes No Yes No No

No Yes Yes Yes No

Yes Yes Yes No Yes

So, we have

At least one sparrow bird = 13

Total = 20

So, the probability is

P = 13/20

Evaluate

P = 0.65

Hence, the probability is 0.65

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Joel be not able to make a right triangle with his fence because the given dimensions are not satisfying for Pythagoras theorem.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Dimensions of triangle he has to use for fencing are

15 feet, 8 feet, and 20 feet.

For making it a right triangle it must satisfy the "Pythagoras theorem" which states that

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.

H²=B²+P²

20²=15²+18²

400=225+64

400≠289

No, it will not be able to make a right triangle.

Hence, Joel will be not able to make a right triangle with his fence because the given dimensions are not satisfying for pythagoras theorem.

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The complete question is given below:

Joel wants to fence off a triangular portion of his yard for his chickens. The three pieces of fencing he has to use are 15 feet, 8 feet, and 20 feet long.

1. Will he be able to make a right triangle out of his fence? Why or why not?

On solving the provided question, we can say that By fraction, 3/4 times 5/7 is 15/28 and Action games are 15/28 of the apps.

Any number of equal portions, or fractions, can be used to represent a whole. Fractions in standard English indicate how many units of a certain size there are. 8, 3/4. A whole includes fractions. The ratio of the numerator to the denominator is how numbers are expressed in mathematics. Each of these is an integer in simple fractions. In the numerator or denominator of a complex fraction is a fraction. True fractions have numerators that are less than their denominators. A fraction is a sum that constitutes a portion of a total. By breaking the entire up into smaller bits, you can evaluate it. Half of a full number or item, for instance, is represented as 12.

By fraction,

3/4 times 5/7 is 15/28.

Action games are 15/28 of the apps.

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The length of the side using cosine rule and approximating to a whole number gives 23

The law of cosines is used to find the missing parts of an oblique triangle when either the two-sided measurements and the included angle measure are known (SAS) or the lengths of the three sides (SSS) are known.

This is expressed as;

b² = a² + c² - 2ac cos b

Plugging in the relevant values gives;

b² = 28² + 41² - 2(28 * 41) cos 32

b² = 2465 - 1947.118

b² = 517.882

b = √517.882

b = 22.757 ≈ 23

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Answer:

So the equation of the transformed function h(x) is h(x) = -x^2 + 3.

Step-by-step explanation:

Since h(x) is the result of reflecting f(x) across the x axis and translating it 3 units in the positive y-direction, we know that:

The x-coordinates of f(x) and h(x) are the same, so x is unchanged.

The y-coordinates of f(x) and h(x) are reflected across the x axis, so we need to negate the y-coordinate.

The y-coordinate of h(x) is shifted up by 3 units, so we need to add 3 to the y-coordinate.

Given the equation of f(x) = x^2, the equation of h(x) can be written as:

h(x) = -x^2 + 3

So the equation of the transformed function h(x) is h(x) = -x^2 + 3.