Represent as an expression. Eric eats 3 times as many cookies (c) as his best friend plus 5 additional cookies.

Answer:

274

Step-by-step explanation:

202 + 6(9 + 3) =

PEMDAS says parentheses first

202 + 6(12) =

Then multiply

202 +72

Then add

274

Answer:

274

Step-by-step explanation:

202 + 6(9 + 3)

202 + 6(12)

202 + 72

274

Answer:

option d, 135

Step-by-step explanation:

Supplementary angles are two angles that sum up to 180 degrees (straight line)

If m∠3= = 45 than 180 - 45 = 135

To show that v1,...,vm,w is linearly independent if and only if w ∉ span(v1,...,vm), we need to prove two directions.

First, assume that v1,...,vm,w is linearly independent. We want to show that w is not in the span of v1,...,vm. Suppose for contradiction that w ∈ span(v1,...,vm). Then we can write w as a linear combination of v1,...,vm: w = c1v1 + ... + cmvm, where c1,...,cm are scalars. But since v1,...,vm,w is linearly independent, the only way for this linear combination to equal zero is if all the coefficients are zero, i.e. c1 = ... = cm = 0. But then we have shown that w can be written as a linear combination of v1,...,vm with all zero coefficients, which contradicts the assumption that v1,...,vm,w is linearly independent. Therefore, w ∉ span(v1,...,vm).

Second, assume that w ∉ span(v1,...,vm). We want to show that v1,...,vm,w is linearly independent. Suppose for contradiction that v1,...,vm,w is linearly dependent. Then there exist scalars c1,...,cm+1 such that c1v1 + ... + cmvm + cm+1w = 0, not all the coefficients being zero. Without loss of generality, assume that cm+1 is nonzero. Then we can write w as a linear combination of v1,...,vm: w = -(c1/cm+1)v1 - ... - (cm/cm+1)vm. But then w is in the span of v1,...,vm, which contradicts the assumption that w ∉ span(v1,...,vm). Therefore, v1,...,vm,w is linearly independent.

Therefore, we have shown that v1,...,vm,w is linearly independent if and only if w ∉ span(v1,...,vm).

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Answer:

point W

Step-by-step explanation:

looking at the image, we can locate line M and line N.

upon locating, we can find the point of intersection between the two lines(its a bold dot) to be point W

The answer is 40 Grams

120 divided by 3 = 40

I'll perform multivariate analysis instead of univariate analysis to identify  relationships between variables

An univariate analysis means analysis of one variable. The prefix "uni" means one ,It doesn’t deal with causes or relationships and it’s major purpose is to takes data, summarizes that data and finds patterns in the data.

The multivariate analysis is used to the analysis of more than one variable. You can remember this because the prefix “multi” means “more than one.”

It is used to study more complex sets of data than what univariate analysis methods can handle. This type of analysis is almost always performed with software.

Univariate analysis allows us to understand the distribution of values for one variable while multivariate analysis allows us to understand the relationship between several variables

Hence , I'll perform multivariate analysis instead of univariate analysis identify  relationships between variables

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Answer:

t= 19/9

Step-by-step explanation:

Answer:

a=1

Step-by-step explanation:

-20=-8(a+4)-5(1-5a)

Distribute

-20 = -8a -32 -5 +25a

Combine like terms

-20 =17a -37

Add 37 to each side

-20+37 = 17a-37+37

17 = 17a

Divide by 17

17/17 = 17a/17

1= a

The standard deviation of the sampling distribution of the sample mean for the 36 fish will be less than 0.0003.

What is standard deviation?

The square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean.

standard deviation of sample mean = sigma X'=sigma/√n=2

according to the question,

we are given the mean to be 37.2

standard deviation=12.0

sample=36

n=(6/0.5)2 =144

n=p(1-p)/(0.05)2 =0.2*0.8/(0.05)2 =64

for normal distribution z score =(p'-p)/sigma p      

here population proportion=     p= 0.510      

sample size       =n= 600      

std error of proportion=σp=√(p*(1-p)/n)= 0.0204      

probability = P(X<0.42) = P(Z<-4.41)= 0.0000

therefore less than 0.0003 is correct.

Therefore, the standard deviation of the sampling distribution of the sample mean for the 36 fish will be less than 0.0003

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Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

A: 5600 meters per hour

B: 700 meters per 1/6 hour

C: 4200 meters per hour

I cant see the final question

Answer:

7

Step-by-step explanation:

The exponential function that fits the given data can be represented by the equation:

y = a * e^(bx)

Where y represents the number of women graduating from 4-year colleges, x represents the year, a represents the initial value (number of women graduating in 1930), and b represents the growth rate.

To find the values of a and b, we can use the data points given:

(1930, 48,752) and (2009, 764,000)

Using the first data point, we have:

48,752 = a * e^(b*1930)

Using the second data point, we have:

764,000 = a * e^(b*2009)

To solve these equations, we need to eliminate a. We can divide the two equations:

(764,000 / 48,752) = (a * e^(b*2009)) / (a * e^(b*1930))

Simplifying the equation:

15.66 = e^(b*(2009-1930))

Now, we can take the natural logarithm of both sides to solve for b:

ln(15.66) = b * (2009-1930)

ln(15.66) = b * 79

Dividing both sides by 79:

b = ln(15.66) / 79

Using the value of b, we can substitute it back into either of the initial equations to solve for a. Let's use the first equation:

48,752 = a * e^(b*1930)

Substituting the value of b:

48,752 = a * e^((ln(15.66)/79)*1930)

Now, we can solve for a:

a = 48,752 / e^((ln(15.66)/79)*1930)

Calculating these values will give you the exponential function that fits the data and the exponential growth rate.

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Answer:

Step-by-step explanation:

Write in slope-intercept form,

y=mx + b. − mowing, week, 20, 450

Answer:

$12

Step-by-step explanation:

At Simba Travel Agency, the price of a climbing trip to Mount Kilimanjaro includes an initial fee plus a constant fee per meter. F(d), models the fee (in dollars) for climbing d meters. F(d)=110+0.12d, What is the increase in price for every 100 meters climbed?

Given:

F(d) = 110 + 0.12d

Where,

F(d) = the fee (in dollars)

d = number of meters climbed

What is the increase in price for every 100 meters climbed?

F(d) = 110 + 0.12d

$110 is the fixed fee

0.12 is the increase in price per meter.

Increase in price per 100 meters climbed = 0.12d

= 0.12 × 100

= 12

Increase in price per 100 meters climbed = $12

Answer:

It is 4 4/15

Step-by-step explanation:

We convert 2/3 and 3/5 to fifteenths because we cant add numbers with different denominators.

2/3 = 10/15  |  3/5 = 9/15

10/15 + 9/15 = 19/15 = 1 4/15. Then, we add the 3.

3 + 1 4/15 = 4  4/15.

The solution to the worksheet involves understanding and applying the concepts of explicit and recursive formulas for sequences. Overall, understanding the given sequence patterns and the relationship between terms helps us determine the appropriate formulas, whether recursive or explicit, to represent the sequences. These formulas provide a mathematical representation of how each term in the sequence is related to the previous terms, allowing for further analysis and calculations.

1. Recursive formula for the sequence 2, 5, 26, 677...:

a. Recursive formula:

  t₁ = 2,

  tₙ = 3tₙ₋₁² - 1.

2. Explicit formula for the given recursive formula:

b. Explicit formula:

  tₙ = 2^(2^(n-1)) + 1.

3. Explicit formula for the sequence 20, 24, 28, 32, 36...:

c. Explicit formula:

  tₙ = 4n + 16.

4. Explicit formula for the sequence 3, 7, 11, 15, 19...:

d. Explicit formula:

  tₙ = 4n - 1.

5. Recursive formula for the given explicit formula:

e. Recursive formula:

  t₁ = 1,

  tₙ = tₙ₋₁ + 2.

6. Explicit formula for the given recursive formula:

f. Explicit formula:

  tₙ = -5n + 5.

7. Recursive formula for the sequence 2, 5, 26, 677...:

g. Recursive formula:

  t₁ = 2,

  tₙ = 5tₙ₋₁² - 1.

8. Recursive formula for the given explicit formula:

h. Recursive formula:

  t₁ = 4,

  tₙ = tₙ₋₁/5 + 1.

9. Explicit formula for the sequence 0, -3, -6, -9...:

i. Explicit formula:

  tₙ = -3n.

10. Explicit formula for the given recursive formula:

j. Explicit formula:

  tₙ = 6(n - 1).

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Sure! A table of values for f(x) = log base 8 of x is shown below:

x) f(x)

1) 0

2) 1/3

3) 0.54

4) 0.67

5)0.79

6)0.89

7) 0.97

8) 1

9) 1.10

10) 1.18

A logarithmic function is a type of mathematical function that involves the use of logarithms. Logarithms are a way of expressing numbers in terms of exponents, and logarithmic functions are functions that involve the logarithm of one or more variables.

The general form of a logarithmic function is:

f(x) = log_b(x)

where b is the base of the logarithm, and x is the argument of the logarithm.

Logarithmic functions have several important properties. One of the main properties is that they can be used to convert between exponential and logarithmic forms of equations. For example, the equation\(2^3\) = 8 can be written in a logarithmic form as log_2(8) = 3.

Logarithmic functions are also used in many applications in science, engineering, and finance. In science, logarithmic functions are used to describe the behavior of phenomena that exhibit exponential growth or decay, such as radioactive decay or population growth. In finance, logarithmic functions are used to calculate compound interest and to model the growth of investments over time.

The graph of a logarithmic function is a curve that approaches but never touches the x-axis as the x approaches zero. The shape of the curve depends on the base of the logarithm, and it becomes steeper as the base gets larger. The inverse function of a logarithmic function is an exponential function.

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Total tickets of a basketball game sold to students are 332 and total tickets sold to adults are 456.

Total number of sold tickets for a basketball game = 788

Total receipts for game = $1,400

Price of game tickets for an adults = $2.50/ticket

Price of game tickets for student = $1.25/ ticket

let us assume that total tickets sold to adults be "x".

Out of 788 , total tickets sold to students = 788 - x

Total money paid by adults = $2.50x

Total money paid by students = $1.25(778 - x)

Total money paid by adults and students will be equal to ($2.50x + $1.25(788 - x) ).

Total receipts for game is $1,400, so

$2.50x + $1.25(788 - x) = $1,400

which is a linear equation of one variable.

Now, we have to solve this equation

2.50x + 1.25×788 - 1.25x = 1,400

=> 1.25x + 985 = 1400

=> 1.25x = 1400 - 985 = 415

=> x = 415/1.25 = 332

So, total tickets sold to adults are 332 . Then,

total tickets sold to students = 788 - 332 = 456.

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Answer:

∠M ≅ ∠G

Step-by-step explanation:

Given:

This means that triangle MTD is congruent to triangle GLS.

Two triangles are said to be congruent if:

Therefore:

Similarly:

Therefore, the true statement is ∠M ≅ ∠G.

The area in square meters will the oil slick cover is 9.5×10⁶ m².

15 barrels of diesel spilt into the ocean, where each barrel contains 42 gallons. Thereby the total volume of the oil spilt by 15 barrels is calculated as follows:

The total volume of the oil spilt by 15 barrels = 15× 42 gallons.

=630 gallons

1 gallon = 3.78541 liters

Volume in L = 630 gallons × 3.78541 liters/ 1 gallon

= 2384.8083 L

1 L = 10⁻³ m³

2384.8083  L = 2384.8083 × 10⁻³ m³

= 2.3848083 m³

The area covered by the oil spill has to be determined, where the thickness of the oil spill is given to be 2.5×10² nm.

1 nm = 10⁻⁹ m

Thereby, 2.5×10² nm = 2.5×10²×10⁻⁹ m

= 2.5×10⁻⁷ m

Area (m²) = volume (m³)/thickness (m)

= 2.3848083 m³/ 2.5×10⁻⁷ m

= 0.95392×10⁷ m²

= 9.5×10⁶ m²

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Answer:

look at the explanation

Step-by-step explanation:

In order to solve this, we'll set up a proportion.

Since y is inversely related to the square of x, therefore:

y=4/63 ----->9 (square of x)

y=?

25 (square of x)

According to the inverse relation:

y=4/63------->25

y=? --------

-->9 and y=4/175

If the slopes are equal, we can conclude that the segment joining the midpoints of two sides of a triangle is parallel to the third side.

To prove that the segment joining the midpoints of two sides of a triangle is parallel to the third side, we can follow these steps:

Assign (x, y) coordinates to points A, B, and C: Let's assume that point A has coordinates (x1, y1), point B has coordinates (x2, y2), and point C has coordinates (x3, y3).

Calculate the coordinates of the midpoints: The midpoint of AB, denoted as M, can be calculated as ((x1 + x2)/2, (y1 + y2)/2), and the midpoint of AC, denoted as N, can be calculated as ((x1 + x3)/2, (y1 + y3)/2).

Calculate the slope of MN: The slope of a line passing through two points (x1, y1) and (x2, y2) is given by (y2 - y1)/(x2 - x1). So, the slope of MN is ((y1 + y3)/2 - y1)/((x1 + x3)/2 - x1).

Calculate the slope of AB: Similarly, the slope of AB is (y2 - y1)/(x2 - x1).

Show that the slopes are equal: Compare the slope of MN with the slope of AB. Simplify the expressions and check if they are equal. If the slopes are equal, it means that the segment joining the midpoints is parallel to the third side of the triangle.

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The expression that represents the number of fish in Irma's aquarium is option C: 8 + 5n.

The problem states that the number of fish in Irma's aquarium can be represented by "eight increased by five times a number (n)." This means that we need to multiply the number (n) by five and then add eight to it.

The expression 5n represents five times the number (n), and 8 represents eight. Adding these two together gives us 5n + 8. However, the question asks for the expression that represents the number of fish, not the expression for five times the number plus eight.

To get the correct expression, we add the eight to the five times the number (n), which gives us 8 + 5n. Therefore, option C, 8 + 5n, is the correct expression that represents the number of fish in Irma's aquarium.

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13) No, The triangle is not similar.

14) No, The triangle is not similar.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The triangles is shown in figure with sides.

Here,

13) The sides of triangles are,

In triangle KJL;

KJ = 87

LJ = 95

In triangle JHG;

JH = 72

JG = 68

Clearly, The there corresponding sides are not equal and also the ratio of there corresponding sides are also not equal.

Hence, The both triangle are not Similar.

14) The sides of triangles are,

In triangle ABE;

AE = 21

BE = 16 + 26 = 42

In triangle ECD;

EC = 16

ED = 32

Clearly, The there corresponding sides are not equal and also the ratio of there corresponding sides are also not equal.

Hence, The both triangle are not Similar.

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Answer:

50

Step-by-step explanation:

29+42+61+?=180

add (29,42,61) that gives you 132

now 132-180=48

48 rounded to the nearest tenth is 50 sooo....

X= 50

Step-by-step explanation:

\( = 2 \frac{3}{7} - 5 \frac{6}{7} \\ \)

\( = \frac{2 \times 7 + 3}{7} - \frac{5 \times 7 + 6}{7} \\ \)

\( = \frac{17}{7} - \frac{41}{7} \\ \)

\( = \frac{17 - 41}{7} \\ \)

\( = \frac{ - 24}{ \: 7} \\ \)

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