Find the slope of each line

ANSWER

[tex]x \: < \: 9[/tex]

EXPLANATION

The given inequality is

[tex]5x \: < \: 45[/tex]

We divide through by 5 to get:

[tex]x \: < \: \frac{45}{5} [/tex]

This will simplify to

[tex]x \: < \: 9[/tex]

Therefore the solution to the inequality is

[tex]x \: < \: 9[/tex]

x < 9

Start with 5x < 45.

Divide both sides of the inequality by 5 to get x < 45 / 5, or x < 9.

Answer: is A

Step-by-step explanation:

Answer: 5 Times

Step-by-step explanation: P(roll 4) = 1/6

---

Expected # of 4 in 30 rolls = (1/6)*30 = 5

Answer: A) y = -5 cos(2x - π)

Step-by-step explanation:

[tex]\text{The standard form of a cosine equation is: y=A sin(Bx - C) + D}\\\\\bullet\text{A = amplitude}\\\\\bullet\text{Period = }\dfrac{2\pi}{B}\\\\\bullet\text{Phase Shift = }\dfrac{C}{B}\\\\\bullet\text{D = vertical shift (up if positive, down if negative)}[/tex]

In the given graph,

[tex]\implies \large\boxed{y = -5cos(2x-\pi)}[/tex]

see graph below for verification

Answer:

x ≈ 6.7

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan40° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{x}{8}[/tex]

Multiply both sides by 8

8 × tan40° = x, hence

x = 6.7 ( to 1 dec. place )

Answer:

the answer is 1,194

Step-by-step explanation:

what you want to do is find the area of 2 triangles and 3 rectangles

area of 1st rectangle

1 = ae

=(22 ft) (19 ft)

=418 sq. ft.

area of 2nd rectangle

2 = ab

=(22 ft.) (14 ft.)

=308 sq. ft.

area of 3rd rectangle

3=ad

=(22 ft.) (13 ft.)

=286 sq. ft.

area of 1st triangle

Area of triangle =  1/2 cb

=1/2 (13ft) (14ft)

= 1/2 (182 sq. ft)

=91 sq. ft.

***this would be the same for 2nd triangle*** 91 sq ft.

Next add all areas together to get the total surface area

Total surface area = ae + ab + ad + 2 (1/2 cb)

= 418 sq. ft + 308 sq. ft. + 286 sq. ft. + 2(91 sq. ft)

=418 + 308 + 286 + 182

= 1,194 sq. ft.

Answer:

2x^2+3x+1

Step-by-step explanation:

FOIL

Answer:

2x^2+3x+1, I believe.  

Step-by-step explanation:

Multipy 'em

Answer:

A. 100

Step-by-step explanation:

50 + 50 + 100

Answer:

A. 100°

Step-by-step explanation:

Let's take a look at the image and make some conclusions.

Angle BAE is 40 degrees

All angles at the crossing of BE and AC are right angles (90 degrees) because they are perpendicular lines.

Since BE is a bisector of angle ABC, we know that angles ABD and DBC are equal.

We don't know angle ABD but it's easy to find... since we know 2 angles from triangle ABE, and the sum of the interior triangles is 180.  So,

ABD = 180 - 40 - 90 = 50

Since ABD is 50 degrees and represents half of angle ABC... we know that ABC is 100 degrees.

I believe the answer is 14.42

The length of AC is 14.42 in the triangle ΔABC where AB=17cm, BC=9cm and angle ∠ACB=90°. This can be obtained by using Pythagoras' theorem.

Given that, AB=17cm, BC=9cm and angle ∠ACB=90°.

By using Pythagoras' theorem,

AB² = AC²+BC²

17² = AC²+9²

AC² = 17²-9² =289-81 = 208

AC = √208 =14.42

⇒AC = 14.42cm

Hence the length of AC is 14.42 in the triangle ΔABC where AB=17cm, BC=9cm and angle ∠ACB=90°.

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5 weeks .... 35 days

Lizzy and Don will both receive their paychecks on the same day after 70 days, as 70 is the Least Common Multiple (LCM) of their paycheck intervals of 10 and 14 days.

Lizzy and Don are trying to find out when they will both receive their paychecks on the same day again. To solve this, we need to find the Least Common Multiple (LCM) of their paycheck intervals which are 10 days for Lizzy and 14 days for Don. The LCM of 10 and 14 is the smallest number that both 10 and 14 can divide into without leaving a remainder.

Let's list the multiples of each:

Multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, ...

Multiples of 14: 14, 28, 42, 56, 70, 84, 98, 112, ...

The smallest common multiple they share is 70. This means that after 70 days, both Lizzy and Don will receive their paychecks on the same day again.

Answer:

The answer is True.   Hope this helps. :)

Step-by-step explanation:

( 4 x 3 ) 3 + 5 - 10 = 4 x 3 + 5 - 10

This is basically an example of PEMDAS.

Perimeter

Equation

Multiplication

Division

Addition

Subtraction

(Multiplication is ahead of Addition, you multiply first)

By substitution,

[tex]g(2)=6.1g(1)[/tex]

[tex]g(3)=6.1g(2)=6.1^2g(1)[/tex]

[tex]g(4)=6.1g(3)=6.1^3g(1)[/tex]

and so on, so that

[tex]g(n)=6.1^{n-1}g(1)=2.7\cdot6.1^{n-1}

Answer:

2.7(6.1)^(n-1)

Step-by-step explanation:

[(6.1)^(n-1)]*g(1)

=[(6.1)^(n-1)]*2.7

=2.7*(6.1)^(n-1)

Answer:

19.50 divided by 3

Step-by-step explanation:

Answer:

3h = 19.50

Step-by-step explanation:

First lets define the price of each hat as the variable h.

Next we know that there are 3 hats so we can write that variable as 3h

We also know that the cost of all 3 hats was $19.50. This means that we can set each side of this equation equal to each other.

This gives us the equation 3h = 19.50

If you were to solve for h, you would get

[tex]h = \frac{19.50}{3}[/tex]

Which would simplify to

h = 6.50

This means that each hat costs $6.50

Answer:

C

Step-by-step explanation:

The right triangle on the right side of the figure has a height of 6 (two same sides lengths) and a base of 3.

x is the hypotenuse (side opposite of 90 degree angle).

We can use the pythagorean theorem to find x. The pythagorean theorem tells us to square each leg (height and base) of the triangle and add it. It should be equal to the hypotenuse square.

For this triangle it means, we square 6 and 3 and add it. It should be equal to x squared. Then we can solve. Shown below:

[tex]6^2 + 3^2 = x^2\\36 + 9 = x^2\\45 = x^2\\x=\sqrt{45}[/tex]

Now we can use property of radical  [tex]\sqrt{x}\sqrt{y}  =\sqrt{x*y}[/tex]  to simplify:

[tex]x=\sqrt{45} \\x=\sqrt{5*9} \\x=\sqrt{5} \sqrt{9} \\x=3\sqrt{5}[/tex]

Correct answer is C

Answer:

The correct answer is option C.  3√5

Step-by-step explanation:

Points to remember

For a right angled triangle

Hypotenuse ² = Base² + Height²

From the attached figure we can see a square and a right angled triangle associated with the square.

Sides of square = 6

To find the value of x

Base = 3 and height = 6

Hypotenuse  = x

x² = 3² + 6²

 = 9 + 36 = 45

x = √45 = 3√5

Therefore the  correct answer is option C.  3√5

To solve the given system of linear equations -3x = 42-16y and 14x = 76-16y, use the method of elimination to find the solution (20-6y, y).

To solve the system of linear equations -3x = 42-16y and 14x = 76-16y, we can use the method of substitution or elimination. Let's use the method of elimination:

Multiply the first equation by 2 to make the coefficients of y in both equations equal. The equations become:

-6x = 84-32y and 14x = 76-16y

Add the two equations together:

-6x + 14x = 84-32y + 76-16y

Simplify:

8x = 160-48y

Rearrange the equation to solve for x:

x = (160-48y)/8

Simplify further:

x = 20-6y

The solution to the system of equations is x = 20-6y. To separate the x- and y-values, we write it as (20-6y, y).

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Answer:

[tex]x=111[/tex]

Step-by-step explanation:

Since these angles are supplementary, they add up to 180°.

Let's make an equation.

[tex]360=(x+23)+(2x+4) \\ \\ 360=x+23+2x+4 \\ \\ 360=3x+27 \\ \\ 3x=333 \\ \\ x = 111[/tex]

Answer:

[tex]x=51[/tex]

Step-by-step explanation:

We have been given an image of two intersecting lines. We are asked to find the value of x.

We can see that both angles are supplementary, so we can set an equation as:

[tex]x+23+2x+4=180[/tex]

[tex]x+2x+4+23=180[/tex]

[tex]3x+27=180[/tex]

[tex]3x+27-27=180-27[/tex]

[tex]3x=153[/tex]

[tex]\frac{3x}{3}=\frac{153}{3}[/tex]

[tex]x=51[/tex]

Therefore, the value of x is 51.

To find all zeros of f(x) = x^3 - 2x^2 - 4x + 8, we can use the Rational Root Theorem to test possible rational roots. The only rational root is x = 2. The complex roots can be found by dividing the equation by (x - 2) and solving the resulting quadratic equation.

To find all zeros of the equation f(x) = x^3 - 2x^2 - 4x + 8, we can use the Rational Root Theorem to test possible rational roots. By factorizing the constant term, 8, and the leading coefficient, 1, we find that the possible rational roots are ±1, ±2, ±4, ±8. By testing these values in the equation, we can find that the only rational root is x = 2. To find the complex roots, we can use polynomial long division or synthetic division to divide the original equation by (x - 2) and solve the resulting quadratic equation.

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Answer:

the sine of angle R is 5/7.

Step-by-step explanation:

Recall that the sine function is defined as sin Ф = (opposite side) / hypotenuse.

The side opposite Angle R is √65 and the hypotenuse is √91.

Thus, the sine of angle R is sin R = √65 / √91, or 5/7.

u need 12 pounds of clay for 12 pounds of clay?

Answer:

-1/3

Step-by-step explanation:

The estimate and the answer of the given real numbers are:

Estimate    Answer

[tex]\dfrac{21}{4}[/tex]                5.25

[tex]\dfrac{4}{3}[/tex]                   1.33

[tex]\dfrac{4}{1}[/tex]                     4

Multiplication of real numbers.

The multiplication of real numbers (rational or irrational) can take different forms or processes. Here, we are to multiply the following numbers.

[tex]1\frac{3}{4} \times 3[/tex]

Let us convert the mixed fraction to an improper fraction to find the estimate.

[tex]\dfrac{7}{4} \times 3[/tex]

The estimate [tex]=\dfrac{21}{4}[/tex]

The answer  [tex]\dfrac{21}{4} = 5.25[/tex]

The second question:

[tex]\dfrac{8}{9}\times 1\dfrac{1}{2}[/tex]

[tex]=\dfrac{8}{9}\times \dfrac{3}{2}[/tex]

[tex]=\dfrac{4}{3}\times \dfrac{1}{1}[/tex]

Estimate = [tex]\dfrac{4}{3}[/tex]

Answer = 1.33

The third question

[tex]3\dfrac{1}{2}\times 1\dfrac{1}{7}[/tex]

[tex]=\dfrac{7}{2}\times \dfrac{8}{7}[/tex]

[tex]=\dfrac{1}{1}\times \dfrac{4}{1}[/tex]

Estimate = [tex]\dfrac{4}{1}[/tex]

Answer = 4

x=0.12634012+

[tex]\\\pi144445618[/tex]

Answer:

A. 30

Step-by-step explanation:

The correct form is:

4sin^2 x − 1 = 0

First step is add 1 to both sides:

4sin^2 x-1+1=0+1

4sin^2 x=1

Now to eliminate 4 divide both sides by 4

4sin^2 x/4=1/4

sin^2 x=1/4

Take square root at both sides

√sin^2 x = √1/4

sinx = 1/2

Thus the correct option is 30° ....

Answer:

The value of k is [tex]K=100[/tex]

Step-by-step explanation:

we know that

[tex]h(x)=\frac{20x-k}{x}+50[/tex]

we have

[tex]x=20\\ h(20)=65[/tex]

substitute in the function and solve for k

[tex]65=\frac{20(20)-k}{20}+50[/tex]

[tex]65-50=\frac{400-k}{20}[/tex]

[tex]15=\frac{400-k}{20}[/tex]

[tex]15*20=400-k[/tex]

[tex]300=400-k[/tex]

[tex]k=400-300=100[/tex]

Answer:

K=100

Step-by-step explanation:

Answer:

Population size:5

Mean (μ): 22.54

Mean Absolute Deviation (MAD): 5.952

Step-by-step explanation: i hope this helps!!!

plz give 5 star & thanks!

Answer:

5.592

Step-by-step explanation:

It's the second option.

y = -2 sin x + 2

Tell me if I'm wrong :)

It looks spiker because my graph is more spread out with the intervals.

Answer: b) y = -2 sin x + 2

Step-by-step explanation:

The standard equation for a sine graph is: y = A sin (Bx - C) + D

[tex]\text{Amplitude (A) = }\dfrac{max-min}{2}=\dfrac{4-0}{2}=\dfrac{4}{2}=2\\\\\\\text{Vertical Shift (D) = max - amplitude = }4 - 2 = 2[/tex]

A sine graph starts at the origin and tends upward.  The given graph stars at the origin and tends downward so it is a reflection → - sin x

⇒ y = -2 sin x + 2

Answer:

[tex]D=14.56[/tex]

Step-by-step explanation:

We know that the diameter of a circle is twice the radius.

Calculate the radius of the circle with the formula for calculate the distance between two points:

[tex]d=r=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Where "r" is the radius.

Knowing that the center of the circle is at point (3, 1) and the circle passes through the point (1, -6), we can substitute values into the formula to find the radius:

[tex]r=\sqrt{(3-1)^2+(1-(-6))^2}=\sqrt{53}[/tex]

Then the diameter of the circle  is:

[tex]D=2r\\D=2\sqrt{53}[/tex]

[tex]D=14.56[/tex]

The factored form of the given expression is 14(10c + 2 - a).

Given is an expression 140c + 28 - 14a, we need to factor it to simplify in equivalent expression.

We search for common term that can be eliminated in order to factor the expression 140c + 28 - 14a.

In this instance, we may factor the terms that share a common factor of 14 out.

The expression changes to:

140c + 28 - 14a

Let's now subtract 14:

14(10c + 2 - a)

Therefore, the expression's factored form is 14(10c + 2 - a).

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When the bases are the same, you can combine the exponents.

x³   [x is where the base is]

For example:

x³ · y² = x³y²   You can't simplify this anymore because they have different bases/variables

[when you multiply a variable with an exponent by a variable with an exponent, you add the exponents together] so:

x² · x³ = [tex]x^{2+3}=x^5[/tex]

[when you multiply a variable with an exponent by an exponent, you multiply the exponents together] so:

(x³)²=[tex]x^{3*2}=x^6[/tex]

[tex]-2y^2*xy^4=-2x(y^{2+4})=-2xy^6[/tex]

Answer:

[tex]\large\boxed{-2xy^6}[/tex]

Step-by-step explanation:

[tex]-2y^2\cdot xy^4=(-2)(x)(y^2y^4)\\\\\text{use}\ a^na^m=a^{n+m}\\\\=-2xy^{2+4}=-2xy^6[/tex]

The addition problem can be solved in two ways: treating each column separately without carrying and writing down the sum of each column even if it is 10 or more. Examples demonstrate each method using single-digit addition without carrying and adjusting sums that exceed single digits.

The question at hand involves solving a unique addition problem where each letter corresponds to a digit between 0 and 9. To find 2 different ways to make the addition problem work, we need to apply traditional addition rules along with the clues provided.

First, let's analyze the given examples:

To construct two solutions, let's use the same principle:

It's important to follow the instructions closely and understand that digits in these sum calculations are handled independently based on the context provided.

Answer:

6200

You're rounding to the nearest hundreds place. so every number behind that needs to be a "0"