WILL MARK BRAINEST!! : Using the slope formula, find the slope of the line through the given points.
(13,0) and (3,-2)

Answer:

The missing coefficient is -8

Step-by-step explanation:

Let

a------> the missing coefficient

we have

[tex]ay^{2}-[-5y-y(-7y-9)]-[-y(15y+4)]=0[/tex]

[tex]ay^{2}-[-5y+7y^{2}+9y]-[-15y^{2}-4y]=0\\ \\ ay^{2}+5y-7y^{2}-9y+15y^{2}+4y=0\\\\ay^{2}-7y^{2}+15y^{2}=0\\\\ay^{2}+8y^{2}=0\\ \\a=-8[/tex]

Answer:

C=s+4

Step-by-step explanation:

Hope this helps!

Answer:

It is similar to triangle ABC and has coordinates A'(2, -3), B'(1, -4), and C'(-5, 2)

Answer:

Exterior Angle Theorem states the exterior angle is the sum of the interior angles opposite it.

Angle 4 = 75

Step-by-step explanation:

The exterior angle theorem states that the two interior angles across from the exterior angle add to the degree of the exterior angle.

Angle 4 = 20 + 55 = 75

Answer:

18

Step-by-step explanation:

Answer:

m∠CAO=8º

m∠SAC=82º

Step-by-step explanation:

We know that m∠OAS is 90º because it is a radius to a tangent. This will be useful later.

OA=OB because they are both radii. If we draw a line from A to B, this makes an isosceles triangle ABO with a vertex angle of 32 because of the central angle theorem. This means that m∠OAB and m∠OBA are both 74º.

Isosceles triangle CAB is also formed with the construction of AB. Using the inscribed angle theorem, we can find ACB, which is 16º. Solve for the other angles and you get 82º. To find m∠CAO, subtract m∠OAB from m∠CAB, and this returns 8.

To find m∠SAC, subtract m∠CAO from m∠OAS, which is 90º-8º, and you get 82º.

Answer:

670.8

Step-by-step explanation:

55.9x12=670.8

Answer:

26 in²

Step-by-step explanation:

area of triangle half base times height

gives you 20 and 6

The answer is:

There are needed 46.67 liters of the 30% solution and 23.33 liters of the 60% solution in order to make 70 liters of a 40% solution.

We can solve this problem creating a system of equations. Let's make the two equations that will help us to solve the problem.

From the statement we know that a solution of 70 liters of a 40% is needed, and there are two differents solutions available, of 30% and 60% and we need to use them to make 70 liters of a  40% solution, so:

So:

[tex]30(Percent)SolutionVolume=X\\60(Percent)SolutionVolume=Y[/tex]

If both solutions will make a 70 liters solution, so the first equation will be:

[tex]x+y=70L[/tex]

Let's work with real numbers converting the percent values into real numbers by dividing it into 100, so:

[tex]30(Percent)=\frac{30}{100}=0.3\\\\40(Percent)=\frac{40}{100}=0.4\\\\60(Percent)=\frac{60}{100}=0.6[/tex]

Then, we know that both solutions will make 70 liters of a 40% solution, so the second equation will be:

[tex]0.30x+0.60y=0.4*70[/tex]

Therefore, from the first equation we have:

[tex]x=70-y[/tex]

Then, substituting x into the second equation to find y, we have:

[tex]0.30(70-y)+0.60y=28\\21-0.30y+0.60y=28\\0.3y=28-21\\y=\frac{7}{0.3}=23.33[/tex]

Hence, substituting y into the first equation to find x, we have:

[tex]x=70-y=70-23.33=46.67[/tex]

So, there are needed 46.67 liters of the 30% solution and 23.33 liters of the 60% solution in order to make 70 liters of a 40% solution.

Have a nice day!

Final answer:

To prepare 70 liters of a 40% alcohol solution, a scientist should mix equal amounts of the 30% and 60% alcohol solutions that are available. In this case, the scientist would need to mix 35 liters of the 30% solution with 35 liters of the 60% solution.

Explanation:

To solve the problem, we need to set up a system of equations based on the volumes and concentrations of the alcohol solutions. Let's define x as the volume in liters of the 30% alcohol solution and y as the volume in liters of the 60% alcohol solution.

First, we know that the total volume of the two solutions must add up to 70 liters:

x + y = 70

Second, we also know that the total amount of pure alcohol in the final 40% solution must be 40% of 70 liters. We can express the amount of pure alcohol in the 30% solution as 0.30x and in the 60% solution as 0.60y. The equation representing the alcohol concentration is:

0.30x + 0.60y = 0.40 × 70

Next, we solve these equations simultaneously to find the values of x and y.

Therefore, the scientist needs 35 liters of the 30% alcohol solution and 35 liters of the 60% alcohol solution to make a 40% solution.

Answer: B) 20 in

I plugged it into a calculator for this specific formula.

1. 10 ft

2. 15 ft

3. 36 meters

4. 4 ft

Hope this helps!

Answer:

a. x = 13

b. x = 7

c. x = 24

d. x = Undefined

Step-by-step explanation:

Since all the bases are the same the power it is raised by is equivalent to the sum's power.

In mathematical terms

.

.

x^a + x^b = x^a+b

So all we have to do is add up the exponents and make them equivalent to each other.

For the last question, it is impossible since the powers added cannot ever be equal to each other.

9+x can never equal 4+x so it is undefined.

Answer:

What is the attribute being measured?

A)  inches  

B)  height  

C)  overweight males  

D)  number of adult males

Step-by-step explanation:

Answer:It´s B, just did the assessment.

Step-by-step explanation:

Answer:

I can't see the whole problem but if it says how many times per week does he practice it would be 13 times

Step-by-step explanation:

9 3/4 divided by 3/4.

39/4 times 4/3=13

Answer:

The dependent variable is the cost of renting a boat

Step-by-step explanation:

Let

x-----> the number of hours

y----> the cost of renting a boat

In this problem

The independent variable is the number of hours

The dependent variable is the cost of renting a boat

Answer:

cost

Step-by-step explanation:

Answer:

[tex]\$20,173.31[/tex]  

Step-by-step explanation:

we know that

The formula to calculate continuously compounded interest is equal to

[tex]A=P(e)^{rt}[/tex]  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest in decimal  

t is Number of Time Periods  

e is the mathematical constant number

we have  

[tex]t=18\ years\\ A=\$34,000\\ r=0.029[/tex]  

substitute in the formula above  

[tex]34,000=P(e)^{0.029*18}[/tex]  

[tex]P=34,000/((e)^{0.029*18})=\$20,173.31[/tex]  

Answer:

[tex]y=1.5x+3[/tex]

Step-by-step explanation:

Observing the graph

Let

[tex]A(0,3)[/tex] -----> this point is the y-intercept of the line

[tex]B(2,6)[/tex]

we know that

The equation of the line into slope intercept form is equal to

[tex]y=mx+b[/tex]

where

m is the slope

b is the y-coordinate of the y-intercept

In this problem

[tex]b=3[/tex]

Find the slope of the line m

The formula to calculate the slope between two points is equal to

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

substitute the values

[tex]m=\frac{6-3}{2-0}[/tex]

[tex]m=\frac{3}{2}[/tex]

[tex]m=1.5[/tex]

The equation of the line is

[tex]y=1.5x+3[/tex]

The equation of the line that passes through the points (0, 3) and (2, 6) is y = 1.5x + 3. The slope (m) is calculated as 1.5 and the y-intercept (b) is 3.

To find the equation of a line that passes through two points, you'll first have to find the slope (m), and then find the y-intercept (b). Linear equations are typically represented in the form y = mx + b, where m is the slope and b is the y-intercept.

The line passes through points (0, 3) and (2, 6). To calculate the slope m, we use the formula (y2-y1)/(x2-x1). Plugging in our points, we get (6-3)/(2-0) = 1.5. This is our slope.

Next, we want to use the formula  y = mx + b to calculate b. Since the line passes through the point (0,3), we know that when x = 0, y = 3. Plugging these values into the equation along with our determined slope, we get 3 = 1.5*0 + b. Solving for b reveals that our y-intercept is 3.

Therefore, the equation for this line appears as: y = 1.5x + 3.

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Answer:

2/10 or 1/5 of the flowers are daises.

4/10 of the flowers are tulips.

Since there is 10 flowers, that will be your denominator. 2 out of the ten flowers, so 2 is your numerator. There is 8 flowers left over and half of that is 4.

Answer:

The function translated 4 units right and 9 units down

The third answer

Step-by-step explanation:

* To solve the problem you must know how to find the vertex

  of the quadratic function

- In the quadratic function f(x) = ax² + bx + c, the vertex will

 be (h , k)

- h = -b/2a and k = f(-b/2a)

* in our problem

∵ f(x) = x²

∴ a = 1 , b = 0 , c = 0

∵ h = -b/2a

∴ h = 0/2(1) = 0

∵ k = f(h)

∴ k = f(0) = (0)² = 0

* The vertex of f(x) is (0 , 0)

∵ g(x) = -8x + x² + 7 ⇒ arrange the terms

∴ g(x) = x² - 8x + 7

∵ a = 1 , b = -8 , c = 7

∴ h = -(-8)/2(1) = 8/2 = 4

∵ k = g(h)

∴ k = g(4) = (4²) - 8(4) + 7 = 16 - 32 + 7 = -9

∴ The vertex of g(x) = (4 , -9)

* the x-coordinate moves from 0 to 4

∴ The function translated 4 units to the right

* The y-coordinate moves from 0 to -9

∴ The function translated 9 units down

* The function translated 4 units right and 9 units down

Final answer:

The question seeks the translation moving the vertex of f(x) = x^2 to match the vertex of g(x) = -8x + x² + 7. To achieve this, the function f(x) needs to be translated right by 4 units and down by 9 units, resulting in the translation (x, y) -> (x+4, y-9).

Explanation:

The student's question is asking for the translation that would move the vertex of a quadratic function f(x) to match the vertex of another quadratic function g(x). We are given two functions: f(x) = x2 and g(x) = -8x +  x² + 7. To find the translation, we need to determine the vertices of both parabolas.

In the standard form of a quadratic function, y = a x²  + bx + c, the vertex can be found using the formula h = -b/2a for the x-coordinate of the vertex. For f(x), the vertex is at (0, 0) since there is no b or c value, and it's just  x² . For g(x), we can calculate the vertex by finding the x-coordinate: h = -(-8)/2(1) = 4. The y-coordinate can be found by substituting x = 4 into g(x) to get g(4) = -8(4) + 4² + 7 = -32 + 16 + 7 = -9. Therefore, the vertex of g(x) is at (4, -9).

To translate the vertex of f(x) to the vertex of g(x), we need to shift it right by 4 units and down by 9 units. The translation that does this is (x, y) -> (x+4, y-9).

Answer:

  natural numbers: integers n for n ≥ 1

Step-by-step explanation:

As it is for any sequence, the domain of term numbers (n) is the positive integers, the natural numbers.

__

In general, the domain of any "n' that represents something being counted will be the counting numbers. These are also referred to as "natural numbers" or "positive integers." For integer n, n ≥ 1.

__

Additional comment

The geometric sequence described in this problem statement is represented by the exponential function ...

  a(n) = 3(-1)^n

This evaluates to a real number (3 or -3) for all integer values of n, and for some fractional values of n. In the complex numbers, the function is defined for all real and complex values of n.

Answer:

All integers where n ≥ 1

Step-by-step explanation:

credit: https://brainly.com/question/1446605 hope this helps

Answer:

2x^3 +3x^2 + 12x - 8

Step-by-step explanation:

(x^2- 4x + 8)(2x-1)

we expand the notation by using (2x-1)

2x(x^2 - 4x + 8) -1(x^2- 4x +8)

= 2x^3 -8x^2 +16x -x^2 + 4x -8

collect like terms

2^3 - 8x^2 - x^2 +16x + 4x -8

2x^3 + 7x^2 + 20x - 8

Answer:

250 m

Step-by-step explanation:

Final answer:

To find how far 3.5 km will be on a map with a scale of 1:25,000, convert the distance to meters (3,500 m) and then divide by the scale factor (25,000) to get the map distance, which is 14 centimeters.

Explanation:

When working with map scale, it's essential to understand how to convert distances on a map to actual distances in the real world. In this particular case, we have a map with a scale of 1:25,000, which means that 1 unit on the map is equivalent to 25,000 units in real life. David has walked a distance of 3.5 km in reality, and we need to calculate how far this would be represented on the map.

To convert David's actual walking distance to the map distance, we first need to express the 3.5 km in the same unit that is used in the map scale, which is meters. Since 1 km equals 1,000 meters, David walked 3,500 meters. Simply divide the actual distance walked by the scale factor to find the distance on the map:

Map distance = Actual distance / Scale

Map distance = 3,500 meters / 25,000

Map distance = 0.14 meters

Map distance = 14 centimeters

Thus, on the map, David's 3.5 km walk will be represented by a line that is 14 centimeters long.

Answer:   0.93 radians & 2.21 radians

Step-by-step explanation:

[tex]-4sin^2\theta-3sin\theta+5=0\\\\\text{Since this is not factorable, use the quadratic formula to find the roots:}\\\\sin\theta=\dfrac{-(-3)\pm \sqrt{(-3)^2-4(-4)(5)}}{2(-4)}\\\\\\.\quad=\dfrac{3\pm \sqrt{9+80}}{-8}\\\\\\.\quad=\dfrac{3\pm\sqrt{89}}{-8}\\\\\\.\quad=\dfrac{3\pm9.43}{-8}\\\\\\.\quad=\dfrac{12.43}{-8}\quad and\quad \dfrac{-6.43}{-8}\\\\\\.\quad=-1.55\quad and\quad 0.80\\\\\\\theta=sin^{-1}(-1.55)\quad and\quad \theta=sin^{-1}(0.80)[/tex]

[tex]\theta=not\ valid\qquad and\quad \theta=0.927[/tex]

[tex]\theta = 0.927\ radians\text{\ in the 1st quadrant and}\\\pi-0.927=2.21\ radians\text{\ in the 2nd quadrant}[/tex]

Answer:

2.21

0.93

Step-by-step explanation:

Given that; [tex]-4\sin^2\theta-3\sin \theta+5=0[/tex]

This is a quadratic equation is [tex]\sin \theta[/tex], where [tex]a=-4,b=-3,c=5[/tex]

We want to solve for [tex]\theta[/tex] in radians, where 0≤θ<2π.

We apply the quadratic formula given by;

[tex]\sin \theta=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

We substitute the given values to obtain;

[tex]\sin \theta=\frac{--3\pm\sqrt{(-3)^2-4(-4)(5)}}{2(-4)}[/tex]

Simplify;

[tex]\sin \theta=\frac{3\pm\sqrt{9+80}}{-8}[/tex]

[tex]\sin \theta=\frac{3\pm\sqrt{89}}{-8}[/tex]

[tex]\sin \theta=0.804[/tex] or [tex]\sin \theta=-1.55[/tex]

When [tex]\sin \theta=0.804[/tex] , [tex]\theta=\sin^{-1}(0.804)[/tex]

[tex]\Rightarrow \theta=0.93[/tex] --In the first quadrant.

In the second quadrant;

[tex]\theta=\pi-0.93=2.21[/tex]

When [tex]\sin \theta=-1.55[/tex] , [tex]\theta[/tex] is not defined.

Step-by-step explanation:

How to simplify

-6x (some sign, it didn't show in the question)30

Divide by -6 on both sides to isolate the variable.

30 divided by -6 is -5, so x=-5.

Answer:

,

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

common denominator is 12

6 11/12 - (2 3/12 + 3 8/12)

6 11/12 - 5 11/12

1

Answer:

Step-by-step explanation:

So what you do is

1 cup = 8 fluid ounces

(Don’t use that)

So you is

“Since 1 cup= 8 fluid ounces, what you do is multiply by 2. 8 times 2 is 16 , 3 times 8 is 24. 24+16 is 40” there’s your answer

The equation that shows the relation between the cups of sparkling water (s) and apple juice (j) mixed by Jada is 2s = j, meaning that the quantity of apple juice is always twice the quantity of sparkling water.

In the question provided, we're given that Jada makes her sparkling juice by mixing 2 cups of sparkling water and 3 cups of apple juice. Let's define s as the number of cups of sparkling water, and j as the number of cups of apple juice. Given this, the equation that shows how s and j are related is 2s = j. This equation expresses that the quantity of apple juice (j) is always twice the quantity of sparkling water (s).

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The equation is X + 14 = 23.

To solve for X subtract 14 from each side:

x+14 = 23

x = 23 - 14

x = 9

x+14=23

x=23-14

x=9

9+14=23

Answer:

she should have x-27 books left

Step-by-step explanation:

The number of books Henrietta has is x-13.

Given that, Garth has x books which are 20 more books than Henrietta has.

We need to find out how many books Henrietta now has.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Now, the number of books with Garth has =x

The number of books with Henrietta has =x-20

Garth gave Henrietta 7 books =x-20+7

=x-13

Therefore, the number of books Henrietta has is x-13.

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Answer:

5. 96 ft³

6. 108 cm³

Step-by-step explanation:

I will answer in spite.

5. To find the volume, seperate the figure into two separate rectangles (one long one along the bottom, and one small one sitting on top).

The volume of rectangle one is 4ft × 9 ft × 2ft = 72 ft³.

The volume of rectangle two is 4ft × 3ft × 2ft = 24 ft³.

72 ft³ + 24 ft³ = 96 ft³.

6. Patty treated the figure as two separate rectangles with the dimensions 2x3x11 and 2x3x10, not taking into account the space where the rectangles meet.

She should have calculated (2x3x11) + (2x3x7), which is 108 cm³.

You're welcome Mr. Harvard.

Final answer:

To find 4 divided by 1/5, multiply 4 by the reciprocal of 1/5, which is 5, resulting in an answer of 20.

Explanation:

To solve the division problem 4 ÷ 1/5, you can utilize multiplication by the reciprocal of the fraction. Recall that dividing by a fraction is equivalent to multiplying by its reciprocal. In this case, the reciprocal of 1/5 is 5/1, because when you flip the numerator and denominator of 1/5, you get 5.

Now, you can rewrite the original equation as a multiplication problem: 4 × 5/1. When you multiply fractions, you multiply the numerators with numerators and the denominators with denominators. Since the denominator of 5/1 is 1, multiplying by it doesn't change the value of the numerator. Thus, multiplying 4 by 5 gives you the answer 20.