How many variables are in the expression.
8d²+2bc+ 10ab

1
2
3
4

Answers

Answer 1

There are 4 variables in the expression 8d² + 2bc + 10ab

How to determine the number of variables in the expression

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

8d²+2bc+ 10ab

Express properly

So, we have

8d² + 2bc + 10ab

Consider an expression ax + by where the variable is a and b are constants

The variables in the expression are x and y

Using the above as a guide, we have the following:

The variables in the expression 8d² + 2bc + 10ab are a, b, c and d

This means that there are 4 variables in the expression

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Related Questions

The wheel of the average bicycle is 28 inches in diameter. How many feet will be covered in 9
turns of the wheel?​

Answers

Answer:

Approximately 66 feet

Step-by-step explanation:

Given d = 28 in

Find the circumference:

C = πd = 3.14*28 = 87.92 in

Find the distance covered by 9 turns:

9C = 9*87.92 = 791.28 in

Convert inches to feet:

1 foot = 12 in791.28 in = 791.28/12 ft = 65.94 ft ≈ 66 ft

5x6-3x²+7-2x6-3x6+4x² for x = -10

Answers

Answer:

Hope you like it. I have just wrote answers

I need help determining how many roots

Answers

By graphing the polynomial, we conclude that there is only one real root, so the correct option is A.

How many roots has the given polynomial?

We have the polynomial:

[tex]y = -3x^2 + 12x - 12[/tex]

To see how many real roots this polynomial has, we can graph it and see how many times the graph intercepts the x-axis.

The graph can be seen below:

There we can see that there is only one intercept, so there is only one real root.

So the correct option is A.

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Koos spent 3/7 of his monthly pocket money during the first week. The following week he spends two- thirds of what he had spent the previous week. The fraction of the pocket money that is still left is.​

Answers

Answer: 2/7

Step-by-step explanation:

The total amount of pocket money he has is 7/7.

He spent 3/7 of his pocket money during the first week.

He then spends 2/3 of what he spent the previous week, 2/3 * 3/7 which is 2/7.

What he has left is 7/7 - 3/7 - 2/7 = 2/7.

The function g(x) = 10x2 – 100x + 213 written in vertex form is g(x) = 10(x – 5)2 – 37. Which statements are true about g(x)? Select three options. The axis of symmetry is the line x = –5. The vertex of the graph is (5, –37). The parabola has a minimum. The parabola opens up. The value of a, when the equation is written in vertex form, is negative.

Answers

Answer:

The vertex of the graph is (5, -37) [see attached image]The parabola has a minimum [the coefficient of x² is positive]The parabola opens up [the coefficient of x² is positive]

All the correct statements are,

The vertex of the graph is (5, -37).

The parabola has a minimum.

The parabola opens up.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The function g(x) = 10x² - 100x + 213 written in vertex form is,

⇒ g(x) = 10(x – 5)² – 37.

Since, General equation is,

y = a (x - h)² + k

Where, (h, k) is vertex of parabola.

Hence, We get;

The vertex of the graph is (5, -37)

Since, the coefficient of x² is positive

Hence, The parabola has a minimum

And, The parabola opens up.

Thus, All the correct statements are,

The vertex of the graph is (5, -37).

The parabola has a minimum.

The parabola opens up.

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help this is affecting my grade i need help pls i beg of you

Answers

it is -4.5 or four and a half
the answer is -5 1/2

Census Bureau data shows that the mean household income in the area served by a shopping mall is $64,500 per year with the standard deviation of $8,000. A market research gathers a random sample of 100 shoppers at the mall to find out whether the mean household income of mall shoppers of $61,000 is different than the general population.

Q: What is the null hypothesis ?

Answers

Considering the situation described, the null hypothesis is given as follows:

[tex]H_0: \mu = 64,000[/tex].

What are the hypothesis tested?

At the null hypothesis, it is tested if the mean is the same as in the Census, of $64,000, hence:

[tex]H_0: \mu = 64,000[/tex].

At the alternative hypothesis, it is tested if the mean is different from the Census, hence:

[tex]H_1: \mu \neq 64,000[/tex].

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What is the best approximation of the solution to the system to the nearest integer values?

Answers

Answer:

(-2, 6)

Step-by-step explanation:

3x - 4y = -32

3x + 5y = 24

-9y = -56

y = [tex]\frac{56}{9}[/tex] = 6

3x - 4*[tex]\frac{56}{9}[/tex] = -32

3x - [tex]\frac{224}{9}[/tex] = -32

3x = -32 + [tex]\frac{224}{9}[/tex]

3x = -[tex]\frac{288}{9}[/tex]+ [tex]\frac{224}{9}[/tex]

3x = -[tex]\frac{64}{9}[/tex]

x = -[tex]\frac{64}{27}[/tex] = -2

You buy almond milk in 1 gallon containers. One portion of waffles requires 2.5 ounces of almond milk. How many portions can be made with one container

Answers

Answer:

61 portions

Step-by-step explanation:

First, the conversion between gallon and ounces is:

1 Gallon = 153.722 ounces (oz)

GIven 1 portion of waffles requires 2.5 ounces of milk

Number of portions of waffles = Total amount of milk / milk required per portion of waffles

= 153.722 / 2.5

= 61.489 portions

Of course, we are unable to make part portions in this case, so we will take the highest possible whole number, which is 61 portions.

A machine can pack 5000 articles in 24 hours.How long will 3 such machine take to pack the same number of articles

Answers

The time taken for 3 machines to pack 5000 articles is 8 hours.

What are word problems?Word problems are mathematical problems expressed completely in words.The given problem is the rate of work done kind of word problem.To solve a word problem, first, observe the data given in words and apply the basic algebraic operations.The basic algebraic operations are addition, subtraction, multiplication, and division.

How long will 3 such machines take to pack 5000 articles?

It is given that,

A machine can pack 5000 articles in 24 hours. I.e,

1 machine → 5000 articles → 24 hours

3 machines → 5000 articles → 24/3 hours

Thus, 3 of such machines can pack the same number of articles in

24 ÷ 3 = 8 hours.

Therefore, 3 of such machines take 8 hours to pack 5000 articles.

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Check the box labeled Show Segment Parallel to BC. Notice that intersects two sides of creating a smaller triangle, . How is related to ? How do you know?

Answers

Can i see an image of this problem

wwqrwqretertertreterterter

Answers

Answer:

answer: no spam please

oly questions

Given: F(x) = 3xˆ2+ 1, G(x) = 2x-3, H(x) = x F(-2) =

heeeelp

Answers

Answer:

firstly,need to know domain and range

Which of the following functions has an initial value of -1/2 and a rate of change of 0?

A.
2
x
B. y=−12x
y
=

1
2
x
C. y=−12x
y
=

1
2
x
D. y=−12

Answers

The function that has the given initial value and rate of change is: D. y = -1/2.

What is the Initial Value and Rate of Change of a Function?

A function is given as, y = mx + b, where, m is the rate of change, and b, which is a constant is the initial value.

Given the following:

b = -1/2

m = 0

Plug in the values into y = mx + b

y = 0(x) + (-1/2)

y = -1/2

Therefore, the function is: D. y = -1/2.

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The sum of two integers is 250.If one of them is -87,find the others integers​

Answers

the answer is:
-87+x=250
+87. +87
x=337

What is the midpoint of 125 and 12?

Answers

The mid point is quite easy to find on a calculator as the mid point is between two numbers.
For an example; finding the midpoint of 4 and 12 you may simply insert the equation : 4+12/2 which equals 8. Meaning your mid point is 8.
For your question; 125 + 12 = 137/2 = 68.5
The mid point of 125 and 12 is 68.5.

A total of $5000 is invested: part at 7% and the remainder at 12%. How much is invested at each rate if the annual interest is $400?

Answers

The amount invested in the account that yields 7% interest is $4000.

The amount invested in the account that yields 12% interest is $1000.

What are the linear equations that represent the question?

a + b = 5000 equation 1

0.07a + 0.12b = 400 equation 2

Where:

a = amount invested in the account that yields 7% interest.

b =  amount invested in the account that yields 12% interest.

How much is invested at each rate?

Multiply equation 1 by 0.07

0.07a + 0.07b = 350 equation 3

Subtract equation 3 from equation 2

0.05b = 50

b = 50 / 0.05

b = 1000

Subtract 1000 from 5000: 5000 - 1000 = 4000

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Difference of Squares gives which complex factors for the expression x² +11?
A. (x+√11)2(x-i√11)²
B. (x+√11)(x+√11)
C. (x-i√11)(x-√11)
D. (x+√11)(x - √11)

Answers

Answer:

Step-by-step explanation:

Discussion

i has to appear somewhere. That lets D and B out. They are both wrong.

C has only one i. It can't be right either. You need 2 i-s which will multiply to +1 when squared. That leaves you with a.

The way a is written, it can't be the answer either. For one thing, that 2 makes the answer question at best.

I would say there is no correct answer. Could you check the question? Also it would be a good idea to ask your instructor how this works, in case I'm wrong.

please no scam please answer ASAP 30 points need steps​

Answers

QUE :

75 - [5 + 3 of (25 - 2 × 10)]

= 75 - [5 + 3 of ( 25 - 20)]

= 75 - [5 + 3 of 5]

= 75 - [5 + 15]

= 75 - 20

= 55

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About % of the area under the curve of the standard normal distribution is between z = − 0.9 z = - 0.9 and z = 0.9 z = 0.9 (or within 0.9 standard deviations of the mean).

Answers

Using the normal distribution, it is found that 63.18% of the area under the curve of the standard normal distribution is between z = − 0.9 z = - 0.9.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The area within 0.9 standard deviations of the mean is the p-value of Z = 0.9(0.8159) subtracted by the p-value of Z = -0.9(0.1841), hence:

0.8159 - 0.1841 = 0.6318 = 63.18%.

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10) Find the mean of the data set.
O a.) 5
Ob.) 9
O c.) 10
O d.) 13

Data:
5, 8, 12, 6, 7, 10, 14, 6, 13

Answers

Answer:

b

Step-by-step explanation:

the mean is calculated as

mean = [tex]\frac{sum}{count}[/tex]

         = [tex]\frac{5+8+12+6+7+10+14+6+13}{9}[/tex]

         = [tex]\frac{81}{9}[/tex]

         = 9

Answer:

9

Step-by-step explanation:

The mean is also known as the average. To find it, we add up all of the data and divide it by how many numbers were added.

5 + 8 + 12 + 6 + 7 + 10 + 14 + 6 + 13 = 81

81/9 = 9

Brainliest, please :)

A line graph titled Meals per Day has number of days on the x-axis, and number of meals prepared on the y-axis. At 5 days there are 30 meals prepared; at 10 days, 60 meals; at 15 days, 90 meals; at 20 days, 120 meals.
Use proportional reasoning to find the constant of proportionality for the relationship shown on the graph.

What is the value of y when the value of x is 1?

Answers

The constant of proportionality is 6.

How to calculate the constant?

From the information given, the constant will be:

30 meals ÷ 5 days = 6

60 meals ÷ 10 days = 6

90 meals ÷ 15 days = 6

120 meals ÷ 20 days = 6

The constant of proportionality is 6. Therefore, the function will be:

y = kx

y = 6x

The value of y when x is 1 will be:

y = kx

y = 6 × 1 = 6

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Answer:

what they said

Step-by-step explanation:

Select the correct answer from each drop-down menu. The options are: The ratio of the heights is 1 : 2.5 1 : 5 1 : 10 1 : 25 The ratio of the surface areas is 1 : 5 1 : 10 1 : 25 1 : 125 The ratio of the volumes is 1 : 5 1 : 10 1 : 25 1 : 125.

Answers

Using proportions, it is found that:

The ratio of heights is of 1:5.The ratio of surface areas is of 1:25.The ratio of volumes is of 1:125.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The heights are measured in units, hence the ratio is:

[tex]r = \frac{5}{25} = \frac{1}{5}[/tex]

The surface areas are measured in units squared, hence the ratio is:

(1:5)² = 1:25.

The volumes are measured in cubic units, hence the ratio is:

(1:5)³ = 1:125.

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!!HELP! 1-8 PLEASE ANSWERS ONLY PLEASE

Answers

Distributive Property :

[tex]\boxed {a(bx + c) = a(bx) + a(c)}[/tex] or

[tex]\boxed {(ax + b)(cx + d) = acx^{2} + bcx + adx + bd}[/tex]

Question 1 :

6(4v + 1)6(4v) + 6(1)24v + 6

Question 2 :

5(8r² - r + 6)5(8r²) - 5(r) + 5(6)40r² - 5r + 30

Question 3 :

(2x - 2)(7x - 4)2x(7x) - 2(7x) - 2x(4) - 2(-4)14x² - 14x - 8x + 814x² - 22x + 8

Question 4 :

(6a - 7)(3a - 8)(6a)(3a) - 7(3a) + (6a)(-8) - 7(-8)18a² - 21a - 48a + 5618a² - 69a + 56

Find and sketch the domain of f(X,y) = 1/√x^2-y

Answers

Answer:

Step-by-step explanation:

The definition of a Domain in math is all the possible input values that go into the function, so we will have to find all the valid values that can go into the function

The function given is [tex]F(x, y)=\frac{1}{\sqrt{x^2-y} }[/tex] , the denominator cannot be 0.
So we set up the equation
[tex]\sqrt{x^2-y} \neq 0[/tex]
[tex]\sqrt{x^2-y}^{2} \neq 0x^2-y\neq 0x^2\neq y[/tex]

And that the the square root needs to be more than 0.
[tex]\sqrt{x^2-y}\geq 0[/tex]
[tex]x^2-y\geq 0[/tex]
[tex]x^2\geq y[/tex]

So we can conclude that all values of [tex]x^{2}[/tex] must be greater y

That means that our domain is all X values greater than[tex]\sqrt{y}[/tex]

p(m) = 2m² − 4m + 3, find p(1/3)

Answers

Answer:

17/9

Step-by-step explanation:

Plug in 1/3 as m.

2*(1/3)^2 - 4(1/3) + 3 = 17/9

Two sides of a four-sided figure have negative slopes. Which are the endpoints of the sides of this figure?
(–4, –4), (–4, –1), (–1, –4), (–1, –1)
(–2, –4), (–1, –1), (1, –1), (2, –4)
(1, 1), (2, 4), (5, 4), (4, 1)
(1, 4), (2, 1), (5, 1), (4, 4)

Answers

The endpoints of the sides of the quadrilateral are; (1, 4), (2, 1), (5, 1), (4, 4)

How to calculate the slope of sides of a quadrilateral?

To get the endpoints of the quadrilateral that has 2 sides with negative slope, we will use the formula for slope;

m = (y2 - y1)/(x2 - x1)

Option A; Coordinates are (–4, –4), (–4, –1), (–1, –4), (–1, –1). Slopes are;

m1 = (-1 + 4)/(-4 + 4) = undefined

m2 = (-4 + 1)/(-1 + 4) = -1

m3 = (-1 + 4)/(-1 + 1) = undefined

m4 = (-4 + 1)/(-4 + 1) = 1

No two slopes are negative and this is not correct.

Option B; Coordinates are (–2, –4), (–1, –1), (1, –1), (2, –4). Slopes are;

m1 = (-1 + 4)/(-1 + 2) = 3

m2 = (-1 + 1)/(1 + 1) = 0

m3 = (-4 + 1)/(2 - 1) = -3

m4 = (-4 + 4)/(-2 - 2) = 0

No two slopes are negative and this is not correct.

Option C; Coordinates are (1, 1), (2, 4), (5, 4), (4, 1). Slopes are;

m1 = (4 - 1)/(2 - 1) = 3

m2 = (4 - 4)/(5 - 2) = 0

m3 = (1 - 4)/(4 - 5) = 3

m4 = (1 - 1)/(1 - 4) = 0

No two slopes are negative and this is not correct.

Option D; Coordinates are (1, 4), (2, 1), (5, 1), (4, 4). Slopes are;

m1 = (1 - 4)/(2 - 1) = -3

m2 = (1 - 1)/(5 - 2) = -0

m3 = (4 - 1)/(4 - 5) = -3

m4 = (4 - 4)/(1 - 4) = -0

Two slopes are negative and this is correct.

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100 Points! Which shorts should I get?

Answers

the second pair is so cute
the pink ones are so cute

A 28-metrelong guy wire is attched to a point 24 m up the side of a tower. How far from the base of the tower is the guy wire attached

Answers

The distance between the guy and the wire attached is 14.42m

Pythagoras theorem

The square of the longest side is equal to the sum of the square of other two sides.

In order to determine the length of base of the tower, we will use the expression below:

b² = 28² - 24²

b² = 208

b = 14.42

Hence the distance between the guy and the wire attached is 14.42m

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PLS ANSWER THESE QUESTIONS
I WILL MARK BRAINLIEST

Answers

The linear function y = 3 · w - 1 represents the number of sea shells found in each week.

The speed of the driven gear is 180 rounds per minute.

How to use direct and inverse relationships to analyze situations

In the first problem we have an example of linear progression, in which the number of sea shells is increased linearly every week. After a quick analysis, we conclude that the linear function y = 3 · w - 1, a kind of direct relationship.

In the second problem, we must an inverse relationship to determine the speed of the driven gear. Please notice that the speed of the gear is inversely proportional to the number of teeths. Then, we proceed to calculate the speed:

[tex]\frac{v_{1}}{v_{2}} = \frac{N_{2}}{N_{1}}[/tex]

If we know that [tex]v_{2} = 60\,rpm[/tex], [tex]N_{2} = 60[/tex] and [tex]N_{1} = 20[/tex], then the speed of the driven gear is:

[tex]v_{1} = v_{2}\times \frac{N_{2}}{N_{1}}[/tex]

[tex]v_{1} = 60\,rpm \times \frac{60}{20}[/tex]

[tex]v_{1} = 180\,rpm[/tex]

The speed of the driven gear is 180 rounds per minute.

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