3/4(6x + 2) = 15

Help me please

Answer:

5(5)

Step-by-step explanation:

Answer:

50.5 ft squared

Step-by-step explanation:

Answer:

16/25

Step-by-step explanation:

Kala spun the spinner 1000 times and got the following results:

- Yellow: 400 times

- Red: 300 times

- Blue: 300 times

1. Calculate the amount of sales tax:

  - The item costs $350 before tax.

  - The sales tax rate is 14%.

  - To find the sales tax amount, multiply the cost of the item by the tax rate:

    Sales tax = $350 * 0.14 = $49.

2. Determine the total cost of the item including tax:

  - Add the sales tax amount to the original cost of the item:

    Total cost = $350 + $49 = $399.

3. Analyze the spinner results:

  - The spinner has 10 equal-sized slices.

  - There are 4 yellow slices, 3 red slices, and 3 blue slices.

  - Kala spun the dial 1000 times.

4. Calculate the frequency of each color:

  - Yellow: Kala got 400 yellow results out of 1000 spins.

  - Red: Kala got 300 red results out of 1000 spins.

  - Blue: Kala got 300 blue results out of 1000 spins.

5. Calculate the probability of landing on each color:

  - Yellow: Probability = Frequency of yellow / Total spins = 400 / 1000 = 0.4.

  - Red: Probability = Frequency of red / Total spins = 300 / 1000 = 0.3.

  - Blue: Probability = Frequency of blue / Total spins = 300 / 1000 = 0.3.

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The total surface area of the doghouse is 1452 ft²

The area occupied by a three-dimensional object by its outer surface is called the surface area.

The dog house has many surfaces including the roofs . The total surface area is the sum of all the area of the surfaces.

area of the roof part = 2( 13×11) + 2( 12× 10)×1/2

= 286 + 720

= 1006 ft²

surface area of the building

= 2( lb + lh + bh) -bh

= 2( 10× 11 + 10×8 + 11×8) - 10×11

= 2( 110+80+88)-110

= 2( 278) -110

= 556 -110

= 446ft²

The total surface area = 1006 + 446

= 1452 ft²

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Answer:

34

Step-by-step explanation:

Usually when finding the perimeter all you have to do is add the sides.

Answer:

If the walls are the standard 8 feet tall and the room is square, then:

the wall length and width is both 7 feet.

The area of the walls would be 4x7x8 = 224 ft² (also providing there are no doors or windows)

1. integrate 75x ^ 4 * cos(5x ^ 5 - 3) dx

Integral by substitution

2. integrate 3cos u du

Isolate the coefficient

3 * integrate cos u du

Evaluate the integral

4. 3sin u

Simplify and add the C

= 3sin(5x ^ 5 - 3) + C

Answer

3sin(5x ^ 5 - 3) + C

hope this will help u

please mark me as a brainliest

Answer:

\(3sin(5x^{5} -3) + C\)

Step-by-step explanation:

\(\frac{d}{dx}[sin (ax^{n}+b)] = [anx^{n-1}cos(ax^{n} + b)]\)

a and b are constants

∴\(\frac{d}{dy} sin(5x^{5} -3) = [(5)(5)x^{5-1}-0] cos(5x^{5} -3)\)

                         = \(25x^{4} cos(5x^{5} -3)\)

\(\int\ {75x^{4}cos(5x^{5} -3)} \, dx\)

Rewriting the above by applying algebraic manipulation:

\(\int\ (3)(25){x^{4}cos(5x^{4} -3)} \, dx\)

=\(3[\int\ 25{x^{4}cos(5x^{5} -3)} \, dx]\)

= \(3sin(5x^{5} - 3) + C\)

C is a constant, which is added to the above integration because there are no limits set. In other words, this is an indefinite integral.

Answer:

The answer is

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

Since the lines are parallel their slope are also the same

So the slope of parallel line = - 2/3

So the equation of the line containing the point (8 , 2) and slope - 2/3 is

We have the final answer as

Hope this helps you

Slope intercept form: y = mx + b

Parallel lines have the same slope, so the slope is -2/3.

We can solve using point slope form.

y - 2 = -2/3(x - 8)

y - 2 = -2/3x + 16/3

y = -2/3x + 22/3

Best of Luck!

Therefore, the probability that a woman will give birth to two boys is only one in three, whereas the probability that a man will do so is one in two.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Here,

The woman may have at least one boy in the three following ways: 1) older boy, younger girl; 2) older girl younger boy; 3) older boy, younger boy.

But the man's children may be distributed in only two ways: 1) older boy, younger girl; or 2) older boy, younger boy.

So the chances are only 1 out of 3 that the woman has two boys, but the chances are 1 out of 2 that the man has two boys.

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Answer:

20 2/3 feet

Step-by-step explanation:

7 3/4 * 2 2/3 = 20 2/3

Convert into improper fraction..

= 31/4 * 8/3

...

Solve equation...

= 20 2/3

The area of the garden is 20 2/3.

--

Answer:

20 1/6 feet is the area

Step-by-step explanation:

I did the math. 2 times 7 and 3/4 is 15 and a half, plus two thirds of 7 and 3/4= 5 1/6.

Add 15 and 1/2 plus 5 and 1/6 and you get 20 1/6 feet as your area

69

Step-by-step explanation:

angles 111 and 3 are the same. in a trapezoid bottom base angles are the same and the top base angles are the same. so in order to find angle 2 you must subtract 111 from 180 because the top angles are supplementary to the bottom

180 - 111 = 69

Answer:

The answer will be 69

This is because angle 3 would also be 111

Angles in a quadrilateral add up to 360

So, 360-(111+111)

=138

there are two angles left, angle 1 ND 2, THEY ARE THE SAME VALUE. So DIVIDE 138 by 2, and you would get your answer 69 degrees.

Hope this helps!!

According to the information we can infer that the parallel line would be AD or CF. Additionally, the perpendicular lines would be CB or FE.

To identify the parallel lines we must look at the figure and find the lines that have the same direction as the line BE and that would never intersect with the segment BE, according to the above, we can infer that the parallel lines would be:

On the other hand, the lines perpendicular to CF would be CB or FE because they make 90° angles with segment CF. Additionally, the face that would be parallel to ABC is DEF.

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Based on the information, we can infer that the theoretical probability of these colors would be 33.33%. However, the table reflects different data.

To calculate the theoretical probability of each color we must perform the following mathematical operation.

Bearing in mind that 300 is 100% of the people, we must divide 300 by 3 to know how many people should choose a specific color. In this case, every 100 people should choose a different color.

Additionally, these 100% would represent 33.33% of the total population.

100 * 100 / 300 = 33.33%

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\(\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}\)

Actually Welcome to the Concept of the Polygons.

Since we can see, after assembling it becomes as prism like structure, so it's a

a.) Triangular Prism Polyhedron

b.) area of this Polyhedron is given as,

(area of triangle ×2)+(area of rectangle 1)+(area of rectangle 2)+(area of rectangle 3)

=> (1/2×8×6×2) + (6×5)+(8×5)+(10×5)

=> (48)+(30)+(40)+(50)

=>(48)+(120)

=>168 sq. units

Area = 168 sq. units

Answer:

\(\cos G=\dfrac{2}{3}\)

\(\csc E=\dfrac{3}{2}\)

\(\cot G=\dfrac{2}{\sqrt{5}}\)

Step-by-step explanation:

If the right angle of right triangle EFG is ∠F, then EG is the hypotenuse, and EF and FG are the legs of the triangle. (Refer to attached diagram).

Given ΔEFG is a right triangle, and EG = 6 and FG = 4, we can use Pythagoras Theorem to calculate the length of EF.

\(\begin{aligned}EF^2+FG^2&=EG^2\\EF^2+4^2&=6^2\\EF^2+16&=36\\EF^2&=20\\\sqrt{EF^2}&=\sqrt{20}\\EF&=2\sqrt{5}\end{aligned}\)

Therefore:

\(\hrulefill\)

To find cos G, use the cosine trigonometric ratio:

\(\boxed{\begin{minipage}{9 cm}\underline{Cosine trigonometric ratio} \\\\$\sf \cos(\theta)=\dfrac{A}{H}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)

For angle G, the adjacent side is FG and the hypotenuse is EG.

Therefore:

\(\cos G=\dfrac{FG}{EG}=\dfrac{4}{6}=\dfrac{2}{3}\)

\(\hrulefill\)

To find csc E, use the cosecant trigonometric ratio:

\(\boxed{\begin{minipage}{9 cm}\underline{Cosecant trigonometric ratio} \\\\$\sf \csc(\theta)=\dfrac{H}{O}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)

For angle E, the hypotenuse is EG and the opposite side is FG.

Therefore:

\(\csc E=\dfrac{EG}{FG}=\dfrac{6}{4}=\dfrac{3}{2}\)

\(\hrulefill\)

To find cot G, use the cotangent trigonometric ratio:

\(\boxed{\begin{minipage}{9 cm}\underline{Cotangent trigonometric ratio} \\\\$\sf \cot(\theta)=\dfrac{A}{O}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)

For angle G, the adjacent side is FG and the opposite side is EF.

Therefore:

\(\cot G=\dfrac{FG}{EF}=\dfrac{4}{2\sqrt{5}}=\dfrac{2}{\sqrt{5}}\)

Answer:

(0,5) or 5

Step-by-step explanation:

the y intercept is the point where the line crosses the y-axis. given this info, its given that the y intercept would be 5, or (0,5) in coordinates ^_^

Answer:

0,5

Step-by-step explanation:

So this is actually simpler than it looks. All you have to do is see what point starts out with the x coordinate at zero. The center of the graph is 0,0, so the y intercept is 0,5 because that is the first graph of y.  The order is 0,5 1,6 2,7 so on and so on. Hope my explanation made sense. There is a reason why I'm not a teacher. Lol.

Answer:

5/6 quarts of water

Step-by-step explanation:

2/3 same as 4/6. 4/6 + 1/6 = 5/6

The value of the expression Illustrated as (2a⁴)²/a^0a^5 is C. -500

The exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number

From the information (2a⁴)²/a^0a^5

We know ( xy) ^z = x^z y^z

(2a^4)^2 = 2^2 a^4^2

and x^y^z =x^(y*z)  so a^4^2 = a^(4*2) = a^8

(2a^4)^2 = 4 a^8

We know that a^0 = 1

4 a^8/1 a^5

We know x^y / x^z = x^ ( y-z)

4 a^( 8-5)

4 a^3

Let a = -5

4 ( -5) ^3

4 ( -125)

= -500

The correct option is C.

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1. Using the quadratic formula

\(x=(-b\pm\sqrt{b^{2}-4ac})/2a\)

\(x=(-4\pm\sqrt{16-64} )/2\)

\(x=[-4\pm(-4\sqrt{3}i)]/2\\x=-2\pm2\sqrt{3}i\)

-Hunter

Answer:

\(x = -2 \pm 2i\sqrt{3}}\)

Explanation:

                      given quadratic sample: x²+4x+16=0

Quadratic formula: \(x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{2a}\)

Here a = 1, b = 4, c = 16         [ which are coefficients from ax²+bx+c ]

using the formula:

→ \(x = \frac{ -4 \pm \sqrt{4^2 - 4*1*16}}{2*1}\)

→ \(x = \frac{ -4 \pm \sqrt{-48}}{2}\)

→ \(x = \frac{ -4 \pm 4i\sqrt{3}}{2}\)

→ \(x = -2 \pm 2i\sqrt{3}}\)

Answer

2x73

Step-by-step explanation:

Answer:

(11.5, 7.5)

Step-by-step explanation:

17 + 6 / 2 = 11.5

2 + 13 / 2 = 7.5

The computed values f(-3)+f(1) is 64 and f(-3)-f(1) is 52

A relation is a function if it has only One y-value for each x-value.

The given function is f(x)=3x²-7x+10.

we need to find the values of f(-3)+f(1) and f(-3)-f(1)

First let us compute the values of f(-3) and f(1)

f(-3)=3(-3)²-7(-3)+10

=27+21+10

f(-3)=58

f(1)=3(1)-7(1)+10

=3-7+10

f(1)=6

f(-3)+f(1)=58+6

=64

f(-3)-f(1)=58-6

=52

Hence, the values of f(-3)+f(1) is 64 and f(-3)-f(1) is 52

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Given

The table,

To find: Does the following table display a probability distribution. Why or why not?

Explanation:

It is given that,

That implies,

From, the table one of the entry is in negative.

Also, the probaility lies between 0 and 1.

Hence, the given table does not display a probability distribution.

The solution to the inequality expression is -8/9 ≤ x ≥ 4/9

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

|3x + 6/9| ≥ 2

Expand the inequality expression

So, we have

-2 ≤ 3x + 6/9 ≥ 2

Subtract 6/9 from both sides

So, we have

-24/9 ≤ 3x ≥ 12/9

Divide through the equation by 3

-8/9 ≤ x ≥ 4/9

Hence, the solution to the inequality expression is -8/9 ≤ x ≥ 4/9

The graph is attached

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Answer:

17

Step-by-step explanation:

Using the base angles theorem, \(x+4=4x+1 \implies x=1\).

So, the perimeter is \(4(1)+1+1+4+7=17\).

Here is the completed table:

                           Algebra      Geometry    Total

Biology                 73%           27%            100%

Chemistry             70%           30%            100%

Total                       72%           28%           100%

Relative frequency measures how often a value appears relative to the sum of the total values. It is the ratio of a particular value to the total sum of values.

                           Algebra      Geometry        Total

Biology                 67/92         25/92          92/92

Chemistry             46/66         20/66           66/66

Total                      113/158       45/158           158/158

                               Algebra        Geometry         Total

Biology                      0.728           0.272              1

Chemistry                   0.697           0.303              1

Total                            0.715            0.284              1

                       Algebra      Geometry    Total

Biology                 73%           27%            100%

Chemistry             70%           30%            100%

Total                       72%           28%           100%

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The type of scale commonly used on maps is a graphic scale, which uses a line or bar to represent distances accurately.

The type of scale used on a map is known as a map scale. It is a graphical representation that shows the relationship between distances on the map and their corresponding measurements in the real world. A map scale allows us to understand the size and proportion of features depicted on the map.

There are three main types of map scales: verbal scales, graphic scales, and representative fraction scales.

Verbal Scale: A verbal scale uses words to describe the relationship between distances on the map and real-world measurements. For example, a verbal scale might state "1 inch represents 1 mile" or "1 centimeter represents 10 kilometers." Verbal scales are commonly used on small-scale maps, where the level of detail is not as important.

Graphic Scale: A graphic scale, also known as a bar scale or linear scale, uses a line or a bar marked with specific distances. This line is divided into equal segments that represent units of measurement. By comparing the length of the line on the map to the corresponding distance in the real world, you can determine distances accurately. Graphic scales are often found on the margin or the legend of a map and are commonly used on medium- to large-scale maps.

Representative Fraction (RF) Scale: A representative fraction scale expresses the relationship between map distances and real-world distances using a ratio. For example, a representative fraction of 1:100,000 means that one unit of measurement on the map represents 100,000 of the same units in the real world. This type of scale is useful because it allows for precise calculations and conversions between map distances and real-world distances. Representative fraction scales are commonly used on topographic maps and engineering plans.

It's important to note that a map may include multiple scales to accommodate different levels of detail. For instance, a large-scale map of a city may have a more detailed scale than a small-scale map of an entire country.

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Answer:

Answer is B because I had this homework and I got it right :)

The solution of the expression is x=0 and it is the only solution that is an integer.

An expression in mathematics is a combination of numbers, variables, and mathematical operations that evaluates to a numerical value or an algebraic expression.

To do this, we need to pick a range of x values and substitute them into each equation to find the corresponding y values.

Next, we need to find the points of intersection between the two curves. These are the x values where the two curves cross each other and have the same y value. To find these points, we will set the two equations equal to each other and solve for x:

=> x=5x−x³

Expanding this equation, we get

=> 4x³+x=0.

Factoring this equation, we get

=> x(4x²+1)=0.

This gives us two solutions, x=0 and x=±i√(1/4), where i is the imaginary unit. Since x can only take on real values, x=0 is the only solution that is an integer.

Complete Question:

Use the open space to show all of your work. This includes: sketching the curves, finding and labeling the points of intersection, setting up the appropriate definite integral(s), and evaluating them. Place your numerical answer for the area of the region in the box. Leave your answer in exact form.

y = x,

y = 5x−x³

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Answer: -24 divided by -6p

how many times does 6 fit into 24? 4 times.

since 6 is already negative, 4 is positive. if 4 was negative, 24 would be positive.

-24=-6×4

your number line would consist of 4 in the middle of your line, with numbers 1-10 plotted around to show that 4 is positive.