Which expression is equivalent to 5^-2 x 5^5?

A. 25^-10
B. 5^-10
C. 5^3
D.25^3

(Look at the picture)

The relationship c(x) = 4.5+ 0.32x it is a linear relationship.

The factor 0.32 is used to reduce the cost of the weight before adding to the fixed cost of  4.5

Given data

c(x) = 4.5+ 0.32x

The relationship c(x) = 4.5+ 0.32x it is a linear relationship.  It can be compared to the equation of a straight line which is

y = mx + c

m is the slope and c is the y intercept

The comparison shows that

y = c(x)

c = 4.5

m = 0.32

If the cost is related with the relationship c(x) = 4.5+ 0.32x.

it can be seen that even when there is no weight or no salad that is at    x = 0 the cost is c = 4.5.

This means that there is a fixed cost of 4.5 for any salad weight, in ounces bought.

The factor 0.32 is used to reduce the cost of the weight before adding to the fixed cost of  4.5.

The 0.32 is a reduction factor because the value is less than 1 and will reduce any number it multiplies.

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Answer:

Step-by-step explanation:

Let's assume that the width of the flag is "w" ft.

According to the problem, the length of the flag is 400 ft greater than the width, which means it can be expressed as:

length = w + 400

Now, we know that the perimeter of the flag is 2,120ft. The perimeter of a rectangle is given by:

perimeter = 2(length + width)

Substituting the values, we get:

2120 = 2[(w+400) + w]

2120 = 2[2w + 400]

2120 = 4w + 800

4w = 1320

w = 330

Hence, the width of the flag is 330ft.

From our equation for the length, we have:

length = w + 400

length = 330 + 400

length = 730

Therefore, the length of the flag is 730ft.

Answer:

Explanation:

Given that Factory A produces 400lb Jelly beans and 100lb chocolate per hour. In order to produce an order of 12600lb of Jelly beans and 9400lb of chocolate, the number of hour needed is shown below:

Factory B produces 150lb Jelly beans and 350lb chocolate per hour. In order to produce an order of 12600lb of Jelly beans and 9400lb of chocolate, the number of hour needed is shown below:

Answer:

210

Step-by-step explanation:

The equation of the straight line would be -

y = 4x + 5.

Given is that a line y = mx + 5 that passes through the point (1, 6) and is parallel to y = 4x + 6.

       y = mx + c

Equation of the line is -

y = mx + 5

It is parallel to -

y = 4x + 6

Then -

m = 4  {slopes of || lines are equal)

So, we get the equation as -

y = 4x + 5

Therefore, the equation of the straight line would be -

y = 4x + 5.

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The degree of a polynomial function with the leading term 7\(x^{5}\)  is 5.

A variable in an equation, such as a quadratic equation or cubic equation, is said to be polynomial if it only contains the positive integer exponents or non-negative integer powers. For instance, the polynomial 3x+5 has an exponent of 1.

What is degree?

The highest degree among the polynomial's monomials with non-zero coefficients is referred to as the polynomial's degree in mathematics.

The degree of an individual term of a polynomial is the exponent of its variable; the exponents of the term of this polynomial is 5.

degree of the polynomial is the highest degree of any of the terms; in this case, it is 5.

Hence, polynomial function with leading term 7\(x^{5}\) has a degree of 5.

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Answer:

Jim made 34 20/21 desserts per month

Explanation:

Given that Jim baked 367 desserts in 10 1/2 months.

10 1/2 months can be written as 21/2 months

Jim's desserts making rate in desserts per month can be determined by dividing the number of desserts made by the number of months

367 ÷ (21/2)

= 367 × (2/21)

= 734/21

= 34 20/21

Therefore, he made 34 20/21 desserts per month

Let's begin by listing out the information given to us:

The formula for slope is given by:

Answer:

1,2

Step-by-step explanation:

1) Three times a number greater than 96 in algebraic notation is:

2) Dividing the above inequality by 3 we get:

Answer: The number we are looking for is greater than 32.

Answer:

The quen is as following:

ABC is a right triangle at C,

Acute angles are in the ratio 5:1, i.e. ∠BAC : ∠ABC = 5:1

If CH is an altitude to AB and CL is an angle bisector of ∠ACB, find m∠HCL.

The solution is:  m∠HCL = 30°

Step-by-step explanation:

See the attached figure.

∵The triangle is right at C   ∴∠C = 90°

∴∠A + ∠B = 90° ⇒(1)

∵ Acute angles are in the ratio 5:1, i.e. ∠BAC : ∠ABC = 5:1

∴∠A = 5 times ∠B

Substitute at (1)

∴ 5 ∠B + ∠B = 90° ⇒⇒⇒ ∴∠B = 15°  and ∠A = 75°

∵CL is an angle bisector of ∠ACB

∴ ∠ACL = 90°/2 = 45°

∵ CH is an altitude to AB ⇒ ∠CHA = 90°

At the triangle AHC:

∠ACH = 180° - (∠CHA + ∠CAH) = 180° - (90° + 75°) = 15°

∴ ∠HCL = ∠ACL - ∠ACH = 45° - 15° = 30°

Answer:

Step-by-step explanation:

a. x is negative: x < 0

b. y is nonnegative: y ≥ 0

c. q is less than or equal to π: q ≤ π

Answer:

a.

2. x < 0

b.

2. y ≥ 0

c.

5. q ≤ π

Step-by-step explanation:

To express the given statements as an inequality, we need to determine the relationship between the given quantities.

a. The statement "x is negative" means that x is less than 0. Mathematically, we can represent this as x < 0.

b. The statement "y is nonnegative" means that y is greater than or equal to 0. Mathematically, we can represent this as y ≥ 0.

c. The statement "q is less than or equal to π" means that the value of q is either equal to π or less than π. Mathematically, we can represent this as q ≤ π.

Answer:

6x-28+28=-76+28

6x=-48

6x÷6=x

-48÷6 =-8

x=-8

Step-by-step explanation:

correct me or wrong

Answer:

Step-by-step explanation:

The answer is 6.868 10

The number of times that diameter of cell G is larger than diameter of Cell H is; 46 × 10¯¹ times

We are given;

Now, to find how much more larger the diameter of cell G is than diameter of cell H, we will divide the diameter of cell G by the diameter of cell H to get;

(4.21 × 10^(-3))/(9.2 × 10^(-4)) = 4.6

Thus,diameter of cell G is 4.6 times larger than diameter of Cell H

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9514 1404 393

Answer:

  51.3°

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationship between angles and sides of a right triangle.

Here, you're given the side opposite angle y and the side adjacent to it. This suggests that the TOA relationship is most useful:

  Tan = Opposite/Adjacent

  tan(y) = (10 cm)/(8 cm) = 1.25

Then the angle is found from the inverse tangent function:

  y = arctan(1.25)

  y ≈ 51.3°

True, While "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

The statement "-1000 2/3 is not a real fraction" is true. A real fraction is a mathematical expression that represents a ratio of two real numbers. In a fraction, the numerator and denominator are both real numbers, and they can be positive, negative, or zero.

In the given statement, "-1000 2/3" is not a valid representation of a fraction. The presence of a space between "-1000" and "2/3" suggests that they are separate entities rather than being part of a single fraction.

To represent a mixed number (a whole number combined with a fraction), a space or a plus sign is typically used between the whole number and the fraction. For example, a valid representation of a mixed number would be "-1000 2/3" or "-1000 + 2/3". However, without the proper formatting, "-1000 2/3" is not considered a real fraction.

It's important to note that "-1000 2/3" can still be expressed as an improper fraction. To convert it into an improper fraction, we multiply the whole number (-1000) by the denominator of the fraction (3) and add the numerator (2). The result would be (-1000 * 3 + 2) / 3 = (-3000 + 2) / 3 = -2998/3.

In conclusion, while "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

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The ball is in the air for approximately 2.8 + √7 seconds, which rounds to 5.2 seconds when rounded to one decimal place.To write the equation in vertex form, we need to complete the square.

The given equation is h = -4.9t² + 27.44t + 0.584. We can rewrite it as:

h = -4.9(t² - 5.6t) + 0.584

Now, we want to complete the square inside the parentheses. To do this, we need to add and subtract the square of half the coefficient of t. In this case, the coefficient is -5.6, so we have:

h = -4.9(t² - 5.6t + (5.6/2)² - (5.6/2)²) + 0.584

Simplifying, we get:

h = -4.9((t - 2.8)² - 2.8²) + 0.584

Expanding further:

h = -4.9(t - 2.8)² + 4.9(2.8)² + 0.584

Thus, the equation in vertex form is: h = -4.9(t - 2.8)² + 34.328

b) The ball's height when it was hit can be found by evaluating the equation at t = 0:

h = -4.9(0 - 2.8)² + 34.328

h = -4.9(-2.8)² + 4.328

h = -4.9(7.84) + 34.328

h ≈ 0.784 meters

To find the time at which the ball reaches its maximum height, we can use the fact that the maximum height occurs at the vertex of the parabolic equation. The vertex of a parabola in the form h = a(t - h₀)² + k is given by (h₀, k). Comparing this to our equation, we can see that the vertex occurs at t = 2.8 and h = 34.328. Therefore, the ball reaches its maximum height at 2.8 seconds, and the maximum height is 34.328 meters.

The total time the ball is in the air can be determined by finding the time it takes for the ball to reach the ground. When the ball hits the ground, its height is 0. To find this time, we can set the equation equal to 0 and solve for t:

0 = -4.9(t - 2.8)² + 34.328

4.9(t - 2.8)² = 34.328

(t - 2.8)² ≈ 7

t - 2.8 ≈ ±√7

t ≈ 2.8 ± √7

Since time cannot be negative in this context, we can ignore the negative value.

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The number of small rooms reserved is 4.

The number of large rooms reserved is 8.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

Small rooms are denoted as S.

Large rooms are denoted as L.

Now,

We will make two equations.
L = 2S _____(1)

8L + 6S = 88 ______(2)

Putting (1) in (2) we get,

8L + 6S = 88

8 x (2S) + 6S = 88

16S + 6S = 88

22S = 88

S = 88/22

S = 8/2

S = 4

Now,

Putting S = 4 in (1) we get,

L = 2 x 4

L = 8

Thus,

The number of small rooms and large rooms reserved is 4 and 8.

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Answer:

a

Step-by-step explanation:

===================================================

Work Shown:

P(n,r) = (n!)/( (n-r)! )

P(16,3) = (16!)/( (16-3)! )

P(16,3) = (16!)/( 13! )

P(16,3) = (16*15*14*13!)/( 13! )

P(16,3) = 16*15*14

P(16,3) = 3360

----------------

Shortcut:

The P(16,3) means we start with 16. Then count down by one until we have 3 items to multiply out.

So we get P(16,3) = 16*15*14 = 3360

The solutions of the system of inequalities are:

(0, 3)

(6, 2)

Here we have the graph of a system of inequalities, the solutions are all the points on the area where the two shaded regions intercept (it would be on the purple area).

And we can see that one line is solid, the points on that line are solutions, the other line is dashed, the points on that line are not solutions.

Then the points that are solutions are:

(0, 3)

(6, 2)

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Answer:

3/16

We assume that the marbles are drawn without replacement.

P(blue and yellow)

= P(b1 and y2) + P(y1 and b2)

= P(b1) P(y2) + P(y1) P(b2)

= (1/4)(1/2) + (1/4)(1/4)

= 1/8 + 1/16 = 2/16 + 1/16 = 3/16

Answer:

what is the monthly payment or ask for the mileage use for the car

Answer:

To determine the amount of engine oil needed, we need to find 5% of 3.8 gallons:

0.05 x 3.8 = 0.19

So, 0.19 gallons of engine oil should be added to the jerry can.

Answer:

2

Step-by-step explanation:

whose possible values are − 2 , 1 , 2 , 3 , and 6 .

I’m sorry but I could not find a pdf version of the Envision volume 2 book for 5th grade online. However, I found some websites that have answer keys and lesson plans for the book. You can check them out by searching for the following queries:

I hope this helps you with your homework.

Given:

Whole numbers are next to each other and they are called consecutive numbers.

To find:

The expression for the other number if the larger of two consecutive numbers is n.

Solution:

According to the given definition, whole numbers are next to each other and they are called consecutive numbers. It means the difference between two consecutive interest is 1.

Larger number - Small number = 1

\(n-\text{Smaller number}=1\)

Add smaller number on both sides.

\(n=1+\text{Smaller number}\)

Subtract 1 from both sides.

\(n-1=\text{Smaller number}\)

Therefore, the expression for the other number is n-1.

In the given function H(p) = p/5 + 15, the independent variable is "p" ,

The independent variable in this function is denoted by "p." The independent variable can also be referred to as the input variable, which means that it is the value that is inputted into the function to produce an output. In this specific function, "p" represents the price of a good or service.

It is important to distinguish between the independent and dependent variables in a function. The dependent variable is denoted by "H(p)" in this case, and it is the output of the function. The value of the dependent variable is determined by the independent variable. In this function, "H(p)" represents the total cost of the good or service, which is dependent on the price "p." p is the input variable representing the price of the good or service.

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Answer:

Step-by-step explanation:

Perimeter:  

     \(P=(x+y+z) \ cm\)

Semi-perimeter:

     \(SP=\frac{1}{2} (x+y+z) \ cm\)