Solve for G. (n+3)G=2t

The triangles GHJ and IHJ are congruent based on side-angle-side congruency.

The triangles UVW and XYZ are congruent based on side-side-side congruency.

A triangle is a polygon that has three angles and three sides. Types of triangles are scalene, equilateral, isosceles, right angled.

Two triangles are said to be congruent if all the three sides and angles of one triangle is congruent to that of another triangle. Therefore their corresponding sides and angles are equal.

1) The triangles GHJ and IHJ are congruent based on side-angle-side congruency.

2) The triangles UVW and XYZ are congruent based on side-side-side congruency.

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The number of countries that have both a population density of fewer than 100,100,100 per square kilometer and a medium population among all countries in North America is approximately 174.

To understand the answer, we can interpret the given frequency as a probability. The frequency of 0.174 indicates that out of all countries in North America, 17.4% (or 0.174 as a decimal) have both a population density of fewer than 100,100,100 per square kilometer and a medium population.

To calculate the number of countries, we would multiply this probability by the total number of countries in North America. However, the total number of countries in North America is not provided in the given information. Therefore, without knowing the total number of countries, we cannot provide an exact count of the countries that meet the specified criteria.

In summary, the given information states that the frequency of countries with both a population density of fewer than 100,100,100 per square kilometer and a medium population among all countries in North America is 0.174. However, without the total number of countries in North America, we cannot determine the exact count of countries that meet the specified criteria.

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Answer: it is 12 hours

Step-by-step explanation: hope it helps

Answer: he would walk 20 miles if he continues same pace

Step-by-step explanation:

If he walked 8 mikes in 2 hours that means he did 4 miles in 1 hour. So 3 hours x 4 miles =12 miles. Then you add the eight miles from earlier and u get 20

The number 71.38 can be written in word form as "seventy-one and thirty-eight hundredths." The correct answer is option D.

In decimal notation, the number 71.38 can be broken down into its whole number and decimal parts. The whole number part is 71, and the decimal part is 0.38.

In a decimal number, the digits to the right of the decimal point represent fractions of a whole. Each digit to the right of the decimal point has a place value that is a power of 10.

In word form, the decimal part 0.38 is read as "thirty-eight hundredths." Therefore, when combined with the whole number 71, the correct word form is "Seventy-one and thirty-eight hundredths."

Therefore option D is the correct answer.

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The value of ac can be found by recursively applying the given formula. The formula states that the nth term is equal to the previous term plus 1. Given that a1 = 7, we can calculate the value of ac using this recursive relationship.

To find the value of ac, we need to apply the given formula, which states that each term (except the first term) is equal to the previous term plus 1. Let's start by calculating the second term, a2.

According to the formula, a2 = a1 + 1 = 7 + 1 = 8.

Next, we can calculate the third term, a3, using the same formula. a3 = a2 + 1 = 8 + 1 = 9.

Continuing this process, we can find the values of subsequent terms. a4 = a3 + 1 = 9 + 1 = 10, a5 = a4 + 1 = 10 + 1 = 11, and so on.

By recursively applying the formula, we can determine the value of the nth term. In this case, we are interested in the value of ac. To find it, we need to continue the pattern until we reach the desired term. Since the specific value of c is not provided, we cannot determine the exact value of ac without knowing the value of c. However, we can determine the value of the nth term for any given c by following the recursive formula.

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Answer:

a > 11

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

7a + 42 + 8 < -10 + 9a - 6 + 4a

Step 2: Solve for a

Here we see that any value a greater than 11 would work as a solution to the inequality.

Answer:

\( \frac{3}{8} \)

Step-by-step explanation:

First, you add up the amount of students.

\(1250 + 750 = 2000\). Now, you take 750 (crabwrey bog) and divide it by 2000 (the total). Keep simplifying until you can't anymore.

\( \frac{750}{2000} = \frac{75}{200} = \frac{15}{40} = \frac{3}{8} \)

So the fraction of students who preferred cranberry bog is

\( \frac{3}{8} \)

Answer:

750/2000

Step-by-step explanation:

1250+750=2000 and the focus is cranberry bog so 750/2000 is the answer

Answer:

s>1/6

Step-by-step explanation:

6s+5>6

6-5=1

6s=1

s>1/6

I graphed it on desmos just to be sure and the original inequality and the solution is the same.

hope this helps :)

Answer: Natural: G ; Whole: B ; Integer: H; Rational: A, D, F, J, I, E; Irrational: C, K

Step-by-step explanation:

Natural numbers- Counting numbers (1, 2, 3, 4, etc.)

Whole numbers- Counting numbers and 0

Integers- Counting numbers, 0, and their opposites

Rational numbers- any number that can be written as a fraction in which 0 isn't the denominator

Irrational numbers- all other numbers

If U and V are orthogonal then the magnitude of U times V will be U.V = 0 or |UxV| = uv.

U and V are two orthogonal vectors.

since the angle between them is θ = 90⁰

let u and v be the magnitudes of the vectors U and V respectively.

so first dot-product: If two non-zero vectors are orthogonal than the dot product of these vectors will be zero. Dot product of two vectors is expressed by:

U.V = uv cosθ

since these vectors are orthogonal so,

U.V = uv cos90⁰ = 0

And Cross-product: Magnitude Cross product of two orthogonal vectors will be equal to product of magnitude of these vectors.

|UxV| = uv sin θ

|UxV| = uv sin 90⁰ = uv

Therefore, U.V = 0, |UxV| = uv.

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The best way to represent this data that illustrates change in average temperature over time by using Bar charts

Bar charts are used to display information that falls into specific categories in various groups or subgroups. Our goal is to show the average temperature over a 5 years period, so a bar chart is the best tool for that.

This is also useful for showing trends and changes in  temperatures over a 5 years

hence, the best way to represent this data that illustrates change in average temperature over time by using Bar charts

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The regression line's Y-intercept, or estimated constant b0, is used in calculations (usually just called "the intercept" or "the constant"),

The regression line's Y-intercept, often known as "the intercept" or "the constant," or the value that would be anticipated for Y at X = 0, is the estimated constant b0. The regression line's slope, or the anticipated change in Y per unit change in X, is the estimated coefficient b1.

In essence, B0 denotes the intercept and later the slope of the regression line. We are all aware that Y=B0+B1.X is the regression line's formula.

The regression slope intercept equation, y' = b0 + b1x, where "b0" is the y-intercept and "b1x" is the slope, is actually just an algebraic version of the regression equation. All that's needed is a little bit of math once you've discovered the linear regression equation.

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Answer:

Step-by-step explanation:

\(10 + {(2 \times 3)}^{2} \div 4 \times {( \frac{1}{2}) }^{3} \)

To raise a product to a power, raise each factor to that power

\( = 10 + 4 \times 9 \div 4 \times {( \frac{1}{2} )}^{3} \)

To raise a fraction to a power, raise the numerator and denominator to that power

\( = 10 + 4 \times 9 \div 4 \times \frac{1}{8} \)

Any expression divided by itself equals 1

\( = 10 + 1 \times 9 \times \frac{1}{8} \)

Any expression multiplied by 1 remains the same

\( = 10 + 9 \times \frac{1}{8} \)

Calculate the product

\( = 10 + \frac{9}{8} \)

Write all numerators above the common denominator

\( = \frac{80 + 9}{8} \)

Add the numbers

\( = \frac{89}{8} \)

Divide

\( = 11.125\)

Hope this helps..

Best regards!!

Answer:

11 1/8

Step-by-step explanation:

Okay so I messed up big time. So I had to edit this! I am really sorry if you read mine before. I fixed mine. So this is the right answer. Sorry!

Answer:

$90.00

Step-by-step explanation:

120.00 x 25% = 30.00

120.00 - 30.00 = $90.00

We can estimate that Cho will sell around 100 servings of kakigori on a day when the high temperature is 29° Celsius.

Based on the line of best fit for the data, we can estimate the number of servings of kakigori Cho will sell on a day when the high temperature is 29° Celsius.

From the scatter plot, we can see that the line of best fit is increasing as the temperature increases.

By estimating the value on the line of best fit for the temperature of 29° Celsius, we can approximate the number of servings sold. Based on the scatter plot, it appears that the number of servings sold is around 100 when the temperature is 29° Celsius.

Therefore, we can estimate that Cho will sell around 100 servings of kakigori on a day when the high temperature is 29° Celsius.

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The quadrilateral is a parallelogram so it is Yes.

If a quadrilateral has a pair of parallel opposite sides, it’s a special polygon called parallelogram .The properties of a parallelogram are as follows:

The opposite sides are parallel and equal

The opposite angles are equal

The consecutive or adjacent angles are supplementary

If any one of the angles is a right angle, then all the other angles will be at right angle.

The quadrilateral is a parallelogram since the adjacent interior angles 75° and 105° are supplementary meaning they sum up to 180°

In conclusion, yes, the figure is a parallelogram.

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Answer:

I believe the answer is (A)

*Substituting the x and y values from the table into the equation(A) will balance the right side of the equation to the left side of the equation.

The purchase cost of a car 24,500 with local sales tax rate 4% has following answer,

Total tax paid = $980

Total cost of a car including tax = $25.480.

Purchasing cost of a car = $24,500

Local sales tax rate on a car = 4%

Tax paid on the car purchase = (Purchase price) × (tax rate)

Substitute the value we get,

⇒ Tax amount = 4% of 24,500

⇒ Tax amount = 0.04 x 24,500

⇒ Tax amount = $980

Total cost of a car including tax = ( Tax amount ) + (Purchase price )

Substitute the value we have,

⇒ Total cost of a car  = Purchase price + Tax amount

⇒ Total cost of a car = 24,500 + 980

⇒ Total cost of a car = $25,480

Therefore, the tax paid on the car purchase and the car's total cost including tax is equal to $980 and $25,480 respectively.

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The rational roots of the given equation x(3x − 4) (x − 5) = 0 are x = 0, 4/3 and 5

What is Rational Number?

Numbers that may be expressed in the form p/q, where p and q are integers and q0, are considered rational numbers. Because fractions cannot have a negative numerator or denominator, they differ from rational numbers in this respect. Because of this, the numerator and denominator of a fraction are whole numbers (denominator 0), unlike in the case of rational numbers, when they are both integers.

So to convert a fractional to reduce form we have to divide by 10 to power how many digits thereafter decimal point, and make sure that numerator or denominator doesn't have common divisible.

x(3x − 4) (x − 5) = 0

So we can put every term equal to zero to find it's root.

1st case, x = 0

2nd, 3x-4 = 0

        3x = 4

         x= 4/3

3rd, x-5 = 0

        x = 5

Hence, the rational roots of the given equation are x = 0, 4/3 and 5

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Answer:

20

Step-by-step explanation:

Basically, Yout take 60 and divide it by the number 3 and you get 20. Doing the inverse operation (opposite).

We have exponential decay of roughly 40% per time unit.

We have to  y=(0.88)^4t in the form y=a(1+r)^t or y=a(1−r)^t to determine whether it represents exponential growth or exponential decay. Round a and r to the nearest hundredth if necessary.

y=(0.88)^4t

y=1( (0.88)^4 )^t

y=1( 0.59969536 )^t

Set 0.59969536 equal to 1-r and solve for r

1-r = 0.59969536

-r = 0.59969536-1

-r = -0.40030464

r = 0.40030464

r = 0.40

This means we have,

y=a( 1 - r )^t

y=1( 1 - 0.40 )^t

which means a = 1 and r = 0.40 approximately

We have exponential decay of roughly 40% per time unit.

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The solution of the inequality |x+3| < 2 is -5 < x < -1.

And the graph is given in the image below.

The correct option is C.

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.

To solve the inequality |x+3| < 2, we need to consider two cases:

Case 1: x+3 ≥ 0

In this case, the inequality simplifies to x+3 < 2, which gives us x < -1.

Case 2: x+3 < 0

In this case, the inequality simplifies to -(x+3) < 2, which gives us -x-3 < 2, or -x < 5, or x > -5.

Combining the results from both cases, we get the solution:

-5 < x < -1

To graph the solution, we draw an open circle at x=-3

(since the absolute value is less than 2, not less than or equal to), and shade the region between -5 and -1.

Therefore, the solution is -5 < x < -1.

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Answer:

Step-by-step explanation:

Correct option is A)

Answer: -5/14k-2

Step-by-step explanation:

We can get rid of the parenthesis because addition and subtraction are commutative. Therefore we get, -6/7k-7+5+1/2k

First combine the k's by forming a common denominator: -12/14k+7/14k=-5/14k

Now combine the constants: -7+5=-2

Next, combine the variables and constants: -5/14k-2

Therefore, our answer is -5/14k-2

The weighted weekly mean of t-shirt sales is 5.6.

The total number of weeks reported is the sum of the frequency column.

1+4+7+3 = 15 weeks

The total number of t-shirts sold is calculated as the product of the quantity of t-shirts sold and the number of weeks during which those t-shirts were sold.

2*1 + 4*4 + 6*7 + 8*3 = 2 + 16 + 42 + 24 = 84

The weighted mean, which is the product of the total quantity of t-shirts and the total number of weeks, represents the average number of T-shirts sold every week:

84/15 = 5.6

Response: 5.6

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Answer:

b

Step-by-step explanation: