10 less than the product of 8 and b

Answer:

LM ≈ 15.8

Step-by-step explanation:

calculate the length d using the distance formula

d = [tex]}\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = L (- 6, - 7 ) and (x₂, y₂ ) = M (3, 6 )

LM = [tex]\sqrt{(3-(-6))^2+(6-(-7))^2}[/tex]

    = [tex]\sqrt{(3+6)^2+(6+7)^2}[/tex]

   = [tex]\sqrt{9^2+13^2}[/tex]

   = [tex]\sqrt{81+169}[/tex]

  = [tex]\sqrt{250}[/tex]

  ≈  15.8 ( to the nearest tenth )

Answer:

4

Step-by-step explanation:

Richmond has 7 and Dollarville has 3. 7 - 3 = 4

Answer:

7.5 cups of grapes

Step-by-step explanation:

4o:3g:2b

With 5b, there's an increase in 2.5 from 2b. (divide 5b/2b)

Since the increase in all the other fruits is proportional by the same amount of 2.5.

This leaves you with 10o:7.5g:5b

Answer:

x = .5, - 1.5

Step-by-step explanation:

4x^2 + 4x =3

To solve for x, we can complete the square.

4 ( x^2 + x) = 3

x^2 + x = 3/4

Take the coefficient of x, divide by 2, and square.

(1/2)^2

Then add to each side.

x^2 + x + 1/4= 3/4 +1/4

(x+1/2) ^2 = 1

Take the square root of each side.

x+1/2 = ±1

x = ±1 -1/2

x = 1-1/2  or -1-1/2

x = 1/2, -3/2

x = .5, - 1.5

Answer:

x = 1/2   or   -3/2

Step-by-step explanation:

Rewrite in Standard Form:

4x²+4x=3 ==>  4x²+4x-3=0

Identify:  a=4   b=4   c= -3

Quadratic Formula:

[tex]x=\frac{-b+\sqrt{b^2-4ac}}{2a} or \frac{-b-\sqrt{b^2-4ac}}{2a}\\ \\=\frac{-4+\sqrt{4^2-4(4)(-3)}}{2(4)} or \frac{-4-\sqrt{4^2-4(4)(-3)}}{2(4)}\\\\=\frac{-4+\sqrt{16+48}}{8} or \frac{-4-\sqrt{16+48}}{8}\\\\=\frac{-4+\sqrt{64}}{8} or \frac{-4-\sqrt{64}}{8}\\\\=\frac{-4+8}{8} or \frac{-4-8}{8}\\\\=\frac{4}{8} or \frac{-12}{8}\\\\=\frac{1}{2} or -\frac{3}{2}[/tex]

Answer:

Step-by-step explanation:

Start with y intercept (Where the line crosses the y-axis)

You place the first dot on (0,2)

Negative slope goes down

For the second dot, you go down one and move two to the right

In 5 days at work, kay climbs 585 steps

If there are 13 steps in 1 flight of stairs then 9 flights of stairs will be

= 13 * 9

= 117 steps

Every day Kay climbs 117 steps in 9 flights in 5 days kay will climb

= 117 * 5

= 585 steps

Kay climbs 585 steps in a 5 days at work

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Montraie can make 2 cups of smoothies with the yogurt

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

Cups of yogurt = 1 1/2

Each smoothie = 3/4 yogurt

Assume there exist a proportional relationship between the cups and the yogurt

The number of smoothies in the yogurt can be calculated using the following equation

Smoothies = (1 1/2)/(3/4)

Evaluate the quotient

Smoothies = 2

Hence, the cups is 2 yogurt

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Answer:4

Step-by-step explanation:

16/4=4

The scale factor of the dilation is, 1/4.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that;

The trapezoid I'J'K'L' is a dilation of the trapezoid IJKL.

Here, The length of IJ = 16

And, The length of I'J' = 4

Hence, The scale factor of the dilation is,

⇒ I'J' / IJ = 4 / 16

               = 1/4

Thus, The scale factor of the dilation is, 1/4.

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Answer:

700 months

Step-by-step explanation:

Answer:

B: 25.75 times a number x, plus 10 | D: the product of 25.75 and x, plus 10

Step-by-step explanation:

B: 25.75 times "x" = 25.75x + 10

D: The product of 25.75 and x = 25.75x  + 10

Answer:

80

Step-by-step explanation:

120 divided by 3 (for per half hr) is 40 and if you add 2 of the half hrs together (40+40) its 80

From the area of a triangle, the height of the triangle is 12ft

The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle. Basically, it is equal to half of the base times height, which is given by

A = 1/2 b * h

In the given question, the base is two-thirds of the height.

b = 2/3h

Let's substitute the values into the formula

A = 1/2 * 2/3h * h

A = 2/6 * h²

A = 1/3h²

48 = 1/3h²

h² = 48 * 3

h = √144

h = 12ft

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Answer:162

Step-by-step explanation:

1.5 ft = 18 inches

so

9 * 18 = 162

The value of y when the value of x is -3 for the equation,y = 500×2ˣ will be y=62.5.

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that, the given equation of is, y = 500×2ˣ

We have to find the value of y when x = - 3.

y = 500×2ˣ

y=500×2⁻³

y=62.5

Thus, the value of y when the value of x is -3 for the equation,y = 500×2ˣ will be y=62.5.

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Answer:

Your answer is A) [tex]y=-\frac{3}{2}x-4[/tex]

Step-by-step explanation:

This is because the slope of a perpendicular line is a negative reciprocal in relation to the original line. In this example, [tex]\frac{2}{3}[/tex] is flipped to [tex]-\frac{3}{2}[/tex]

Answer:

.62 each

Step-by-step explanation:

Answer:

R would equal 12

Step-by-step explanation:

The domain and the range of the function are given as follows:

The domain of a function is composed by the set that contains all possible values assumed by the input of the function.

On a graph, the input of the function is given by the values of x, hence the domain of the graphed function is given by the following interval:

(-2,3].

The meaning of the circles on the intervals is of:

The range is composed by the set containing all the values assumed by the output of the function.

Hence, on the graph, the range is composed by the values of y of the function, which are given as follows:

[-8, 2).

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Answer: 6%

Step-by-step explanation:

R=100×480/2000×4

R=6%

Answer:

R

=

6

%

Step-by-step explanation:

The formula for Simple Interest is

S

I

=

P

R

T

100

Change the subject to be R.

R

=

100

×

S

I

P

T

Once that is done, we just need to substitute the values.

R

=

100

×

480

2000

×

4

R

=

6

%

The representation of cos L in simplest term is 5/13. It can be obatined by trigonometric ratios.

What are trigonometric ratio?

The ratio of sides of a right angled triangle is known ars trigonometric ratios. There are six trigonometric ratios. Which are as follows:

sin = P/H, cos = B/H, tan = P/B

cosec = H/P, sec = H/B, cot = B/P

Here, P is perpendicular, H is hypotaneous, and B is base. These ratios simplify the calculation.

SInce the angle is not specified hence, consider the given angle is L. Now, L is given angle hence, the base will be 15 and hypotenous will be 39.

Now, consider the trigonometric ratio of cos.

[tex]cosL=\frac{Base}{Hypotenuse}\\[/tex]

Subsitute 15 for base and 39 for hypotenuse in the above expression.

[tex]cosL=\frac{15}{39}\\=\frac{5}{13}[/tex]

Hence, the representation of cos L in simplest term is 5/13. It can be obatined by trigonometric ratios.

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Answer:

domain { a ∈ R , a ≠ - 5 }

Step-by-step explanation:

the denominator of f(a) cannot equal zero as this would make f(a) undefined. Equating the denominator to zero and solving gives the value that a cannot be.

a + 5 = 0 ( subtract 5 from both sides )

a = - 5 ← excluded value

domain { a ∈ R, a ≠ - 5 }

The Order of Operations, also referred to as PEMDAS, is the rule that defines the sequence in which an expression with multiply operations can be solved.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

In this scenario, we are dividing, multiplying, adding, and subtracting numbers. This being laid out, lets begin.

1. Multiply and divide (left to right).

[tex]16[/tex] ÷ [tex]2 * 6 = 48[/tex]

[tex]=48-3[/tex]

2. Add and subtract (left to right).

[tex]48-3=45[/tex]

Hence, our final solution after using the order of operations would be [tex]45[/tex].

Hope this helps!

In 6 years, the couple will have $32,916.38 in the account.

The option that's a requirement for employees who must wear PPE is C. Participate in PPE training.

Personal protective equipment (PPE) is clothing that is comfortable to wear in order to reduce the risk of hazards at work that cause serious illnesses and injuries.

Personal protective equipment (PPE) will be divided into the following categories for this purpose: eye and face protection, hand protection, body protection, respiratory protection, and hearing protection.

Personal protective equipment (PPE) should be used when all other measures to control exposure are ineffective. It only protects the wearer while they are wearing it. PPE offers no protection if it fails.

All personal protective equipment should be designed and built safely, and it should be kept clean and reliable. It should be comfortable for workers to use. Personal protective equipment that does not fit properly can mean the difference between being safe and being dangerously exposed. Employers must provide personal protective equipment to their employees and ensure its proper use when engineering, work practices, and administrative controls are not feasible or provide adequate protection

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Complete question

Which of the following is a requirement for employees who must wear PPE?

a. Speak to the. project manager.

b. Get necessary clothes.

C. Participate in PPE training.

Using the formula of volume of a sphere, Ashely's company made 195 balls

The volume of sphere is the measure of space that can be occupied by a sphere. If we draw a circle on a sheet of paper, take a circular disc, paste a string along its diameter and rotate it along the string. This gives us the shape of a sphere.

The formula of volume of a sphere is given as

v = 4/3πr³

r = radius = 4.5in

volume of each spherical ball = 4/3π(4.5)³

volume of sphere = 381.7in³

The number of balls she made from 74325 in³ can be found by dividing it by 381.7in³

Number of balls = 194.7≅195 balls

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Answer:

x = -3; y = -4

Step-by-step explanation:

We can start by eliminating x, which will give us y:

[tex]9(-4x +11y=-32)\\-4(-9x+4y=11)\\\\-36x+99y=-288\\36x-16y=-44\\\\83y=-332\\y=-4[/tex]

Now we can plug in -4 for y in the first equation to find x:

[tex]-4x+11(-4)=-32\\-4x-44=-32\\-4x=12\\x=-3[/tex]

The quadratic equation y = x² - 8 · x + 18 represents the parabola shown in the figure.

In this problem we find a representation of a parabola, which is described algebraically by quadratic equations, that is, polynomials of the form:

y = a · x² + b · x + c

Where a, b, c are the coefficients of the polynomial.

We can determine the value of the coefficients from the knowledge of three points set on Cartesian plane. First, select the points from Cartesian plane:

(x₁, y₁) = (0, 18), (x₂, y₂) = (4, 2), (x₃, y₃) = (7, 11)

Second, create a system of linear equations with three variables and three equations by replacing the variables x and y on the quadratic equation:

c = 18

16 · a + 4 · b + c = 2

49 · a + 7 · b + c = 11

Third, solve the system by numerical methods:

(a, b, c) = (1, - 8, 18)

Fourth, write the resulting quadratic equation:

y = x² - 8 · x + 18

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Answer:

The Answer of the 0.307+13.16+0.8 is 14.267

Door:80( actual height) 44( height on set)

Table 28( actual height) 15.4 ( height on set)

Stool 18 ( actual height) 9.9 ( height on set)

Step-by-step explanation:

Times the actual height inches by 0.55 and you get your height on set.