Blank divided by 10 =800

Answer:

∛x

Step-by-step explanation:

Replace x with y and then solve

[tex]y=x^3\\x=y^3\\\sqrt[3]{x} = y[/tex]

Answer:

56.25

Step-by-step explanation:

Monique can make 5 Vase with 4 Daisies and 5 Roses in each.

The greatest number among all the common factors of the given numbers is the HCF (Highest Common Factor) of two numbers.

For example, the HCF of 12 and 36 is 12 because 12 is the highest common factor of 12 and 36.

Given:

Daisies = 20

Roses = 25

Monique obviously wants to use all the flowers so she does not any left over. She needs to find a number which divides into 20 and 25,

So, the HCF of 16 and 24, which is 5.

Factors of 20 = 2, 4, 5, 10, 20.

Factors of 25 = 5, 25

So, She will be able to make 5 bouquets.

and, Each bouquet will have 4 Daisies and  5 Roses.

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The Complete Table that missing in the table is

Flower Type Number

Daisies 20

Roses 25

The reasons for each statement about the given triangle are as follows:

Congruent triangles are two triangles that are the same size and shape. Two congruent triangles remain congruent even if we flip, turn, or rotate one of them. Two triangles must have the same angles and, as a result, must be congruent if their sides are the same.

Given, A triangle PWZ in that base ∠1 and ∠2 are same and the distance between W and Z from X and Y are the same where XY is the base of another triangle inside the ΔPWZ.

For ΔPWZ

We know PWZ is an isosceles triangle since its two angles are the same.

thus another ΔPXY is on the same base of ΔPWZ and also at the same distance from its point Hence, these triangles are congruent triangles.

Looking at that perspective, we can say that ∠1 and ∠2 are pairs of alternate angles and are congruent.

∠1 ≅ ∠2

The same with ∠3 and ∠4.

∠3 ≅ ∠4

Therefore, As a result, according to the ASA Theorem, the Triangles are congruent. The two angles and the side they encompass are comparable.

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About 13 gallons. Paid $2.76 per gallon rounded

12.762 rounded up is about 13. After tge decimal look at the 7, then 6 next to it. Anything 5 or higher round up. 4 or lower, round down.

Same rules with the amount per gallon.

The number of batches of cookies required for your dad to bake is 6.33 batches.

Number of people at the party = 38

Number of cookies each would have = 4

Total number of cookies needed = Number of people at the party × Number of cookies each would have

= 152 cookies

Number of cookies baked per batch = 24

Equate the number of batches to the number of cookies baked.

Let x = number of batches required

1 : 24 = x : 152

1/24 = x / 152

cross product

1 × 152 = 24 × x

152 = 24x

divide both sides by 24

x = 152 / 24

x = 6.33 batches

Therefore, your dad should bake 6.33 batches of cookies for everyone at the party.

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Answer:

Step-by-step explanation:

Solve the problem 4p-32=p+7

4p - 32 = p + 7

3p = 39

p = 39 : 3

p = 13

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

4 x 13 - 32 = 13 + 7

20 = 20

People hate their jobs, want to get away from them, and hate having to be responsible, claims Theory X. People are independent and appreciate having obligations placed on them, claims Theory Y.

Theories of human labor motivation and management include Theory X and Theory Y.

They were invented by Douglas McGregor in the 1950s while he was a faculty member at the MIT Sloan School of Management, and they underwent further development in the 1960s.

Consider work a natural part of life, and come up with creative solutions for workplace issues.

According to Theory X, individuals despise their jobs, desire to escape them, and detest having to be accountable.

According to Theory Y, people are self-driven and enjoy having responsibilities placed on them.

Therefore, people hate their jobs, want to get away from them, and hate having to be responsible, claims Theory X. People are independent and appreciate having obligations placed on them, claims Theory Y.

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Using the diameter given, the volume of the sphere is 14137.17cm³

The volume of a sphere is a measurement of how much space it takes up. It is calculated using the following formula and represents the volume of the sphere:

v = 4/3 * π * r³

Where: r is the radius of the sphere, which is the distance from the sphere's center to its surface, and π is a mathematical constant roughly equal to 3.14.

The formula is based on the observation that a sphere's volume is two thirds that of a cylinder with the same radius and height.

The volume of a sphere is directly proportional to the cube of the radius, which is a crucial point to remember.

In the problem, the diameter given is 30cm, we can calculate the radius from this.

radius = diameter / 2

radius = 30 / 2

radius = 15cm

We can plug in the values to calculate the volume of this sphere;

v = 4/3πr³

v = 4/3(3.14)(15)³

v = 14137.17cm³

The volume is 14137.17cm³

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Answer:

Step-by-step explanation:

16 = 20% of x

20% = 1/5

So...

16 = 1/5 of x

16 = 1/5*x

Multiply both sides by 5...

80 = x

There are 80 questions on the test.

Please mark brainliest.

Answer:

9

Step-by-step explanation:

Answer:

Use PEMDAS, answer is 9

Step-by-step explanation:

There are 30 students in the Maths class, 30 students in the English class and 40 students in the history class using Gauss-Jordan elimination to solve the system of equations.

We shall derive and solve the system of equations as follows:

homework questions corrected per week;

10x + 20y + 30z = 2100...(1)

number of homework papers corrected per week;

x + y + z = 100...(2)

x = number of students in the math class

y = number of students in the English class

z = number of students in the history class.

since the maths and English classes have the same number of students then x = y and: equations (1) and (2) becomes;

10x + 20x + 30z = 2100

30x + 30z = 2100

30(x + z) = 2100 {divide through by 30}

x + z = 70...(3)

x + x + z = 100

2x + z = 100...(4)

Subtract equation (3) from (4) to eliminate z

2x + z - x - z = 100 - 70

x = 30

Now we will substitute this value of x back into the equation (4) such that;

2(30) + z = 100

60 + z = 100

z = 100 - 30 {subtract 60 from both sides}

z = 40

So there are 30 students in the Maths class, 30 students in the English class and 40 students in the history class using Gauss-Jordan elimination to solve the system of equations.

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Answer:

a^4

Step-by-step explanation:

a^7 / a^3 = a^(7-3) = a^4

The tangent to the graph f,  f(x) = [tex]5x^4[/tex]/4 + 15/4.

When infinitesimal data are combined, notions such as displacement, area, and volume can be created. An integral assigns numbers to functions in a way that describes these concepts. Integration is the action of locating integrals.

Given:

f '(x) = 5x³

and, line: 5x + y= 0

We integrate to get f(x) = ∫5x³ dx = [tex]5x^4[/tex]/4 + C.

As, tangent line is y = - 5x,

then f'(x) = 5x³ = - 5, x³ = -1 and x = -1 is x-coordinate of tangent point.

So, the y-coordinate of tangent point is

f(-1) = 5[tex](-1)^4[/tex]/4  + C

      = 5/4 + C.

and, the equation of tangent line is

y - 5/4 - C = - 5(x + 1)

y = - 5x - 15/4 + C.

Thus,  -15/4 + C = 0,

C = 15/4 and f(x) = [tex]5x^4[/tex]/4 + 15/4

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Statement: 5(x+6)=x+38 is x=2

We are given the equation 5(x+6)=x+38. We can solve this equation by isolating x on one side of the equation. To do this, we will first subtract x from both sides of the equation. This will leave us with 5x+30=38. We can then subtract 30 from both sides of the equation to isolate the x terms. This leaves us with 5x=8. We can then divide both sides of the equation by 5 to isolate x. This gives us x=2.

Therefore, if 5(x+6)=x+38, then x=2.

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The Given Statement is  true reason is the value in the left-hand side is equal to the value in the right-hand side. it shows proof that 5(x+6) = x+38 for x =2.

Here we have to understand what is an equation because in question we have given an equation.

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("="). For illustration, 2x - 5 = 13.

2x - 5 and 13 are expressions in this case.

These two expressions are joined together by the sign "=".

Two expressions are combined in an equation using an equal symbol ("="). The "left-hand side" and "right-hand side" of the equation are the two expressions on either side of the equals sign. Typically, we consider an equation's right side to be zero. Since we can balance this by deducting the right-side expression from both sides' expressions, this won't reduce the generality.

Here we have given an equation

5(x+6) = x+38  we have to proof for x = 2.

LHS 5(x+6) = 5(2+6) = 5*8 = 40

RHS x+38 = 2+38 = 40

So the given statement is true because LHS = RHS.

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Answer:

[tex]0.15*x \leq 4.5\\x \leq 30\\Where\ x \ represents\ the\ amount\ of\ candy[/tex]

Step-by-step explanation:

Divide the amount we have by the price of the sweets, and write it into an inequality.

The inequality symbol represents that the total price of all the sweets we want to buy cannot be larger than our budget.

Answer:

x = 30

Step-by-step explanation:

3x + 1 + 89 = 180

3x + 90 = 180

3x = 90

x = 30

3(30) + 1 = 91

91 + 89 = 180

Answer:

Step-by-step explanation:

3x + 1 + 89 = 180

3x = 180 - 1 - 89

3x = 90

x = 90 : 3

x = 30°

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

3 x 30 + 1 + 89 = 180

90 + 90 = 180

180 = 180

To draw a line segment, Gather your drawing materials and decide on the starting and ending points of your line segment. Place your pen or pencil on the starting point and use a ruler to guide it to the ending point, drawing a continuous, straight line and Lift the pen or pencil from the paper to complete the line segment.

To draw a line segment, follow these steps:

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Point (80, 185) represents the location of the beetle 5 seconds after starting.

An equation of this type is known as a parametric equation; it uses an independent variable known as a parameter (commonly represented by t) and dependent variables that are defined as continuous functions of the parameter and independent of other variables. When necessary, more than one parameter can be used. For instance, the equation y = x2 can be expressed as a pair of equations in parametric form, x = t and y = t2, rather than the Cartesian form of y = x2. Parameterization, which transforms a function into a parametric form, greatly improves the efficiency of differentiating and integrating curves.

The parametric equations for the path of the beetle are:

x(t) = 28t

y(t) = 84t + 10

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Answer:

it’s not 80,185 I got it wrong on edge

Step-by-step explanation:

ugh

The local linear approximation of f(x) 2In(x) at x = 2 is y = x - 2 + log (4).

As per the given data, the function f(x) is given by:

f(x)=2 log (x) at x = 2

Here we have to determine the linear approximation of f(x).

A linear approximation is a mathematical phrase that describes using a linear function to approximate a general function.

We know the linear form of the function is

y = f(a) + f'(a) ( x - a )

Here, a = 2

Therefore y = f(2) + f'(2) (x - 2) . . . (1)

Now, f(2) = 2 log (2)

= log [tex](2)^2[/tex]

= log (4)

Again, f'(x) =[tex]\frac{d}{d x}[f(x)][/tex]

[tex]=\frac{d}{d x}(2 \log (x)) \\[/tex]

f'(x) = [tex]2 \cdot \frac{1}{x}=\frac{2}{x} \\[/tex]

Therefore f'(2) = [tex]\frac{2}{2}[/tex] = 1

Plug in the values of f(2) and f'(2) in equation (1) we get,

y = log (4) + 1(x - 2)

y = x - 2 + log (4) (which is the linear approximation of f(x))

Therefore option (b) is correct

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The coefficient of y in the expression -2x² * y² * z is 0

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

An algebraic expression

The algebraic expression is given as

- 2x ^ 2 * y ^ 2 * z

Express the exponents as proper subscripts

So, we have the following representation

-2x² * y² * z

There is no term in the expression with the variable y

Instead, the term has a y² as its variable

This means that the coefficient of y is 0

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The general form of an exponential decay function is f(a) = P . (1 - r)ᵃ, hence a function is an exponential decay if the factor (1 - r) is less than 1.

The general exponential decay function can be written as:

f(a) = P . (1 - r)ᵃ

Where:

P = initial quantity

f(a) = remaining quantity at time a

a = time period

r  = decay rate

(1 - r) = decay factor

On the other hand, the general exponential growth function can be written as:

f(a) = P . (1 + r)ᵃ

Hence, the difference between decay function and growth function is: the factor in decay faction is less than 1, while in growth function, the factor is greater than 1.

Example:

f(a) = 6 . (0.25)ᵃ

This is an exponential decay function because the factor is less than 1, that is 0.25

f(a) = 10 . (3)ᵃ

This is not an exponential decay function, but a growth function,  because the factor is greater than 1, that is 3

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Answer:

91

Step-by-step explanation:

89+89+89+92+x / 5= 90

359+x / 5= 90 (multiply by 5 both sides)

359+x =450 (subtract 359 from both sides)

X= 91

the sum of 4.06 x 10¹⁹ and 5.034 x 10¹⁷ is 4.11034 x 10¹⁹ (option b)

to add 4.06 x 10¹⁹ and 5.034 x10¹⁷ following steps are to be followed

4.06 x 10¹⁹ can be written as 406x10¹⁷

taking 10¹⁷ common from 406x10¹⁷ and 5.034 x10¹⁷ (406x10¹⁷ +5.034 x10¹⁷)  it will be 411.034 x 10¹⁷

or we can write it as 4.11034 x 10¹⁹

therefore, the sum of 4.06 x 10¹⁹ and 5.034 x 10¹⁷ is 4.11034 x 10¹⁹

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Answer: Pablo 45   josh 15  Melissa 6

Step-by-step explanation: 15 • 3 + 15 + 6 = 66

Answer:

-20x^2 -6x

Step-by-step explanation:

I don't want to explain the whole thing, but here's a pic.

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

Explanation:

When working on complicated problems, it's best to break things down as much as possible.

Toby knows how to work with 2 terms, so let's start with that.

Ignore the 8^2 for now.

Focus on the first 2 exponential terms 8^7 and 8^3.

Multiply them to get: 8^7*8^3 = 8^(7+3) = 8^10

Which Toby should know how to do. The general rule is

a^b*a^c = a^(b+c)

Add the exponents but only when the bases are the same.

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

This means

8^7* 8^3*8^2

is the same as

8^10*8^2

Then apply that rule again to get

8^10*8^2 = 8^(10+2) = 8^12

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

So overall, 8^7*8^3*8^2 = 8^12

In other words, we add the exponents to get 7+3+2 = 12 as the final exponent. The base stays at 8 the entire time.

the equation for line will be y = (5/4)x + 13.

What is the slope of line?

Determine the slope of the line using the slope formula given two line-side coordinates. The formula m=(y2-y1)/ describes the slope as the proportion of the change in y values to the change in x values (x2-x1). The coordinates of the first point represent x1 and y1 respectively. At x2, y2, and their respective locations are the second points. It doesn't matter which point you choose to rank as the first and which as the second.

Knowing that formula two, which is used to determine the slope of a line connecting two points, is

The line passes through (-4, 8) so,

8 = (5/4)(-4) + c

8 = -5 + c

c = 13

c = 13

The equation of a line is y = (5/4)x + 13

Hence the equation for line will be y = (5/4)x + 13.

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The cylinder has a height of 18 in, a base radius of 7 in, and a volume of 2769.5 in³.

A cylinder is one of the most basic curvilinear geometric shapes and has traditionally been a solid in three dimensions. In elementary geometry, it is regarded as a prism with a circle as its basis.

V = πr²h is the formula for computing a cylinder's volume.

where ;

Replace the specified arguments to obtain:

V = π(7)² * 18

V = 2769.5 in³

Therefore, the cylinder's volume, which has a base radius of 7 inches and a height of 18 inches, is 2769.5 in³.

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Answer:

Varies, see below

Step-by-step explanation:

We need to find the number of math problems per minute. To do that, we divide 40/32 to find that she completes 1.25 problems per minute.

Or, on the flippity flop, we can find the number of minutes per math problem. So we would do 32/40 to get  0.8 minutes per math problem.

Choose the one according to your needs.