- Adult male Florida panthers have an
average weight of 52.6 kg. What is the
average weight of a male Florida panther
rounded to the nearest whole number?

The maximum number of hours that he can hire the cleaning service would be 5.

An equation is an expression that shows the relationship between two or more numbers and variables.

Consider that the number of hours for which the total cost would be the same be x

The first inequality is;

$15x > $75

Now equate equations

$15x - $75 = 0

15x = 75

x = 5

Hence, the maximum number of hours that he can hire the cleaning service would be 5.

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11/24 many minutes did it take for the winner of the race to finish.

A fraction represents a part of a whole.

Given,

Kyla finished a 100 meter race in one and three-eighths minutes.

Kylas time is [tex]1\frac{3}{8}[/tex] minutes.

Convert mixed fraction to improper fraction.

11/8 minutes.

The winner of the raced finished in one-third of Kyla's time.

Which means 1/3 of 11/8

1/3×11/8

11/24

Hence, 11/24 many minutes did it take for the winner of the race to finish.

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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:

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:

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:

The Answer of the 0.307+13.16+0.8 is 14.267

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:

.62 each

Step-by-step explanation:

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:

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

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!

Answer:

Step-by-step explanation:

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

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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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.

The value of the unknown variable x in the given sequence is; 14

The formula for sum of an arithmetic sequence is;

Sₙ =ⁿ/₂(2a + (n − 1)d)

where;

a is first term

d is common difference

n is position of term

We are given the sequence as;

(x + 1) + (x + 4) + (x + 7) +...+ (x + 40) = 442

The common difference is;

x + 4 - (x + 1)

= 3

Now, to get the number of terms, we will say that the function follows the pattern;

aₙ = (x + 1) + 3n

Thus;

(x + 1) + 3n = x + 40

3n = 39

n = 13

Thus, there are n = 13 terms

Sₙ = ¹³/₂(2(x + 1) + (14 − 1)3) = 442

6.5(2x + 40) = 442

2x + 40 = 442/6.5

2x = 68 - 40

x = 28/2

x = 14

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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

%

Answer:

700 months

Step-by-step explanation:

Answer:162

Step-by-step explanation:

1.5 ft = 18 inches

so

9 * 18 = 162

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.

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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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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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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With a 95 percent confidence interval, the proportion of people who favor the tax plan is 0.546 ,0.755

The value of n is the random sample n = 80

we have x as the number of people surveyed, = 52 respondents

Then p = x / n

p = 52 / 80

p = 0.65

From the z critical table, 95% confidence level = 1.96

we would have to use the confidence interval formula. This is given as:

[tex]p +- Z * \sqrt{\frac{p*(1-p)}{n} }[/tex]

we have to put in the values

[tex]0.65 +- 1.96 * \sqrt{\frac{0.65*(1-0.65)}{80} }[/tex]

0.65 ± 1.96 * 0.053326822

0.65 - 0.10452 , 0.65 + 0.10452

0.546 ,0.755

Therefore the proportion of persons that are in favor of this tax has been calculated as 0.546 ,0.755

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Answer:

4

Step-by-step explanation:

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

The polynomial f(x) of degree 5 that has the following zeros is

f(x) = (x+2) (x-3) (x-7)(x-0) (x-4).

Using mathematical operations like addition, subtraction, multiplication, and division, a polynomial is an expression made up of variables, constants, and exponents. In many branches of mathematics and science, polynomials are used. For instance, they are used to define polynomial functions, which show up in settings ranging from basic chemistry and physics to economics and social science. They are also used in calculus and numerical analysis to approximate other functions. Polynomial equations are used to form these functions.

The function's zeros are expressed as follows:

f(x) = (x-a)(x-b)..... where the a, b  are the zeros

f(x) = (x-(-2)) (x-3) (x -7)(x-0) ( x-4)

f(x) = (x+2) (x-3) (x-7)(x-0) (x-4)

Therefore, the polynomial f(x) of degree 5 that has the following zeros is

f(x) = (x+2) (x-3) (x-7)(x-0) (x-4)

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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:

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