work out 3a+b as a column vector

Answer:

B

Step-by-step explanation:

Here, we want to choose the equation representing the time it will take if they worked together

Let the amount of tasks to be done be t

pedro will work at a rate of t/3

Camela will take t/2

So the joint rate will be

t/2 + t/3

This joint rate will be equal to 1

Thus, we have

t/2 + t/3 = 1

Answer:

60 cm

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

Answer:

Option (A)

Step-by-step explanation:

There are two inequalities drawn on a graph.

x + 2y ≤ 4 ------(1)

3x - y ≤ 2 -------(2)

Here solution set of the inequality (1) will be represented by the shaded area below the solid line (in blue) represented by "x + 2y = 4".

(Line x + 2y = 4 will have the slope slanting down and y-intercept as 2)

Second inequality will represent the shaded area on the left of the solid red line represented by "3x - y ≤ 2".

(Line 3x - y = 2 will have the slope upwards and y-intercept as -2)

Solution area of these inequalities will be the common area shaded in green.

Graph given in Option (A) will be the answer.

Answer:

error= 0.1/2, 0.05

4.8 + 0.05 = 4.85

6.3 + 0.05 = 6.35

4.85 x 6.35 = 30.7975 cm (when rounded, gives 30.80 cm).

Step-by-step explanation:

Answer:

50000

Step-by-step explanation:

Answer:

the last one

Step-by-step explanation:

(:

The percentage of fat in this hamburger sample is 15 %.

Percentage is the value per hundredth.

According to the given question a sample of hamburger had a total mass of 200. g, of which 30.0 g was found to be fat.

To find what percentage of the hamburger contains fat we put amount of fat in the numerator and total amount on the denominator and multiply this fraction by 100 to obtain the result in terms of percentage.

∴ (30/200) × 100

= 3000/200

= 30/2

= 15 %.

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Answer:

61440

Step-by-step explanation:

S.I=P×R×T÷100

=16000×8×48÷100

=160×8×48

=61440

Answer:

slope = \(\frac{1}{2}\)

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (10, 8) ← 2 points on the line

m = \(\frac{8-3}{10-0}\) = \(\frac{5}{10}\) = \(\frac{1}{2}\)

Answer:

\(m=\frac{1}{2}\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (0, 3)

Point (10, 8)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

3/4

Step-by-step explanation:

Answer:

x^26

Step-by-step explanation:

Answer:

(x⁴)⁵ × (x)⁶ = x²⁶

Step-by-step explanation:

(x⁴)⁵ × (x)⁶

(x)⁴°⁵ × (x)⁶

(x)²⁰ × (x)⁶

x²⁰ × x⁶

x²⁰⁺⁶ = x²⁶

Thus, (x⁴)⁵ × (x)⁶ = x²⁶

-TheUnknownScientist

Step-by-step explanation:

In a parallelogram, opposite sides are equal and parallel. Therefore,

QT = PS = 3y ...(1)

PT + TR = PS

y + 2x + 1 = 3x + 9

2x - y = 4 .....(2)

PR = QT = 3y

PR = SQ = 3x + 9 ....(3)

From equations (1) and (3), we can see that:

3y = 3x + 9

y = x + 3

Substitute this value of y in equation (2):

2x - (x + 3) = 4

x = 7

To find the value of y, we can substitute x = 7 in equation (2):

2(7) - y = 4

y = 10

Therefore, x = 7 and y = 10.

In a chi-square test, the expected values should be greater than or equal to 5 for each cell in the contingency table. If any expected value is less than 5, then the validity of the chi-square test is in question and a different test or a modification of the chi-square test may be necessary. Therefore, the correct answer to your question is "greater than or equal to 5".

The chi-square test is a statistical test used to determine if there is a significant association between two categorical variables. The test involves comparing the observed frequencies of the categories with the expected frequencies that would be observed if there were no association between the variables.

The expected frequencies are calculated based on the assumption that there is no association between the variables, and are obtained by multiplying the marginal totals for each row and column, and dividing by the total sample size.

In order for the chi-square test to be valid, the expected frequencies for each cell should be greater than or equal to 5. This is because the chi-square test relies on the assumption that the expected frequencies follow a normal distribution, and if the expected frequencies are too small, the distribution may not be normal and the test may not be accurate.

If any of the expected frequencies are less than 5, there is a risk of a type I error (rejecting the null hypothesis when it is actually true), and a different test or a modification of the chi-square test may be necessary.

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Answer:

A) 63.576

Step-by-step explanation:

1/10 can also be 10/100 which is 10%

10% of 0.06 = 0.006

the slope of the line above is -2

The standard deviation of heights being reported as -2.5 is not possible. The standard deviation is a measure of dispersion or spread in a set of data, and it is always a non-negative value.

The standard deviation of heights being reported as -2.5 is not possible. The standard deviation is a measure of dispersion or spread in a set of data, and it is always a non-negative value. It represents the average amount by which individual data points in a dataset differ from the mean.

Since the standard deviation cannot be negative, it is likely that there was an error in the calculation or reporting of the value. It is important to review the calculations and confirm the accuracy of the result.

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The ratios are shown equivalent as by simplification done below.

Ratio is the representative of comparison of part of things in a complete thing. Equivalent ratios are collection of ratios that show same comparison. As per the given question, the equivalent ratios are calculated as follows -

First column -

Ratio = 6:2

Dividing both the parts of ratio by 2

Ratio = 3:1

Second column -

Ratio = 9:3

Dividing both the parts of ratio by 3

Ratio = 3:1

Third column -

Ratio = 12:4

Dividing both the parts of ratio by 4

Ratio = 3:1

Fourth column -

Ratio = 15:5

Dividing both the parts of ratio by 5

Ratio = 3:1  

Similarly, for rest of the columns, division by 6, 7 and 8 of both parts of ratio will give the result 3:1. Hence, the given rations are shown as equivalent ratios, by simplifying into 3:1.

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Answer:

36

Step-by-step explanation:

Sum of the exterior angle of a polygon = 360

so one exterior = 2x

There are 5 exteriors totaling 10x

10x = 360

x = 36

Answer:

36

Step-by-step explanation:

just took the exam and got 100%

Answer:

\(\large\boxed{x = 7}\)

Step-by-step explanation:

3x - 2(x + 3) = 4x - 9 - x

Start by multiplying 2 by the values in the parenthesis

3x - 2x + 6 = 4x - 9 - x

Subtract 3x - 2x and 4x - x

x + 5 = 3x - 9

Add 9 to both sides of the equation

x + 14 = 3x

Subtract x from both sides of the equation

14 = 2x

Divide both sides of the equation by 2

\(\large\boxed{x = 7}\)

Hope this helps :)

9 in 8956 = 900

9 in 95675 = 90000

9 = 9 in 124569

9 in 68795 = 90

90000 = 9 in 2549652.........

hope it helps...

The simplified forms form using positive exponents are: a) \(7^{17.\), b) \(7^{17.\), c) \(5^{19\), d) \(5^{19\), e) 1/9, f) \(b^5\), and g) 1/b.

a. To simplify \(7^{(-9)} {* 7^{(-8)\), we can combine the terms with the same base by adding the exponents. Using the property of exponents, we have \(7^{(-9) } 7^{(-8)} = 7^{(-9-8) }= 7^{(-17)\). Therefore, the simplified form is 7^(-17).

b. Similar to part a, when we multiply two terms with the same base, we add the exponents. Therefore, \(7^9 x 7^8 = 7^{(9+8) }= 7^{17.\) Thus, the simplest form is \(7^{17.\).

c. When we divide two terms with the same base, we subtract the exponents. Thus,\(5^{15 }/ 5^{(-4)} = 5^{(15-(-4))} = 5^{(15+4)}= 5^{19.\).Hence, the simplified form is \(5^{19\)

d. Just like in part c, we subtract the exponents when dividing terms with the same base. Therefore, \(5^{15 }/ 5^{(-4)} = 5^{(15-(-4))} = 5^{(15+4)}= 5^{19.\). So, the simplest form is also \(5^{19\).

e. In this case, we have a negative base raised to a negative exponent. To simplify (-3)^(-2), we apply the rule that states a negative base raised to a negative exponent becomes the reciprocal of the positive base raised to the positive exponent. Therefore, (-3)^(-2) is equal to 1/(-3)^2 = 1/9.

f. To simplify \(b^2 / b^(-3)\), we subtract the exponents since we are dividing terms with the same base. This gives us \(b^{(2-(-3)}) = b^{(2+3) }= b^5\). Therefore, the simplest form is b⁵.

g. Similarly, for \(b^2 / b^3\), we subtract the exponents to simplify. This results in \(b^(2-3) = b^{(-1)\). Since the exponent is negative, we can rewrite this as 1/b^1 = 1/b. Hence, the simplest form is 1/b.

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The equation that provides the number of years since the car was purchased in terms of its value is (v/2000) - 8.5

In algebra questions, values that are ambiguous or subject to change are represented by letters or symbols.

When it comes to solving for an unknown variable, algebra becomes very useful.

For example, how much money will I save if item retailing for $20 is offered at a 10% discount?

Savings = Full Price * Discount = $20 * 10% = $2

or I spent $30 on items, with each item costing $5, how many items should I have?

Total = No. Items * Item Price

$30 = No. Items * $5

No. Items = Total / Item Price

No. Items = 6

Let the number of years = t

v = 17000 - 2000t

Value = 17000 by row/year

(v - 17000)/2000 = t

Therefore,

t = (v/2000) - 8.5

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Answer:

time = 120 minutes

= 120 min

= 02:00:00

= 2 hours, 0 minutes, 0 seconds

Answer:

4 > x/2.1

Step-by-step explanation:

4 cannot be less than anything, so the inequality sign has to be "eating" the 4.

4 > ?

The quotient of a number x and 2.1 is simply saying division

4 > x/2.1

Answer:

Step-by-step explanation:

Plot 213, −56, and −312 on the number line.