3х + 4y = - 23
х = 3y+1
Solve systems of equations!

Answer:

C.540 square cm

Step-by-step explanation:

The object is 6 times as big as the scale drawing. The area of the scaled object , to find the area of the object.. you have to multiply the area of the scaled object by the scale factor squared

15×6^2=15×36=540

The area of the object ia 540 square centimeters

Answer: c. 540

Step-by-step explanation:

Answer:

\(a=\dfrac{7}{10}\)

Step-by-step explanation:

\(a+\dfrac45=1\dfrac12\\\\\implies a+\dfrac45=\dfrac32\\\\\implies a=\dfrac32-\dfrac45\\\\\implies a=\dfrac{15}{10}-\dfrac{8}{10}\\\\\implies a=\dfrac{7}{10}\)

Answer is 31 because you have to count the ones under and behind

Answer: 0.5

Step-by-step explanation:

\(cot(x)=\frac{1}{tan(x)} =\frac{1}{\frac{sin(x)}{cos(x)} } =\frac{cos(x)}{sin(x)}\\\\sin(x)cot(x)=sin(x)*\frac{cos(x)}{sin(x)} =cos(x)\\\\cos(x)=sin(x)cot(x)=0.5\)

Answer:

i would say you bc the teachers alway right

Step-by-step explanation:

Step 1: Group this into two groups:

    \(h^3 + 2h^2-9h-18=(h^3 + 2h^2)+(-9h-18)\)

When you  do that, be sure to group the "–" into the group with the 9 and make sure there's "+" between the groups.

Step 2: Factor out the GCF from both individual groups:

    \((h^3 + 2h^2)+(-9h-18) = h^2 (h+2) -9(h+2)\)

Step 3: Notice both groups have that (h+2)?  That's a new GCF between the two groups, so factor that out:

    \(h^2 (h+2) -9(h+2) = (h+2)(h^2-9)\)

Step 4: That \((h^2-9)\) piece can be factored further, since it's a difference of squares:

    \((h+2)(h^2-9) = (h+2)(h+3)(h-3)\)

Now it's factored.

Answer:

(x - 7)² + (y - 2)² = 4

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k ) = (7, 2 ) and r = 2 , then

(x - 7)² + (y - 2)² = 2² , that is

(x - 7)² + (y - 2)² = 4 ← equation of circle

a. Use the horizontal axis for the response variable and the vertical axis for the explanatory variable

A scatterplot may be a sort of chart that's utilized to appear the relationship between two sets of numbers or variables. It is frequently utilized in math and science to assist get it how distinctive things are related to each other.

When we make a scatterplot, we plot each combination of numbers on a chart with one number on the x-axis (level) and the other number on the y-axis (vertical). At that point, we utilize dabs to appear where each combination of numbers is found on the chart.

By looking at the scatterplot, we will see in case there's a relationship between the two factors we are comparing. On the off chance that the specks are clustered together in a line or bend, at that point there's a solid relationship between the factors.

In case the dabs are spread out all over the chart, at that point there's not a solid relationship between the factors.

It is standard to utilize a scatterplot to show the relationship between two quantitative factors since it permits us to outwardly see the relationship and superior get how the factors are related. 

The complete question is
when using a scatterplot to display the relationship between two quantitative variables, it is customary to?

a.Use the horizontal axis for the response variable and the vertical axis for the explanatory variable

b. Cross the axes at the value (0, 0)

c.Connect the data points in the order they appear in the dataset
d. Use the horizontal axis for the response variable and the vertical axis for the response variable

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Answer:

Step-by-step explanation:

Given equation:

Given variables:

Simplify, then solve:

x=3

Step-by-step explanation:

x=2y-7 and y=5

x=2(5) - 7

multiply 5 by 2

x=10 - 7

substract 10 from 7

x=3

The race result will not be disqualified due to an illegal wind.

In order to determine whether the wind velocity during the race was legal, we need to compare the wind velocity w to the legal wind speed limit of 5 km/hr. In this case, the wind velocity is given as 5ij km/h, which is purely vertical wind. The direction of the wind is not relevant in this case, since the race is run in the direction of the vector v, which is a purely horizontal direction. Since the wind velocity w is purely vertical and the race is run in a purely horizontal direction, the wind velocity w has no effect on the race result. Therefore, the race result will not be disqualified due to an illegal wind.

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The rate of change of the function represented by the table is -2.5

The rate of change of a function is also known as its slope. The formula for calculating the slope is expressed as;

Slope = y2-y1/x2-x1

Using the coordinate point (1, -8.5) and (2, -6) as given in the table, the rate of change is expressed as:

Rate of change =-6-(-8.5)/2-1
Rate of change = -6+8.5/1
Rate of change = 2.5

Hence the rate of change of the function represented by the table is -2.5

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Answer:

To keep it short it’s A lol:)

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

-1*-2=2

2*5=10

Hope this helps!!!

The number of hours that Larissa's family will drive is given as follows:

66 hours.

The number of hours that Larissa's family will drive is obtained applying the proportions in the context of the problem.

The map calculates drive time with no stops to be 2 3/4 days, hence the number of hours is obtained as follows, considering that each day is composed by 24 hours:

Then the number of hours that Larissa's family will drive is obtained as follows:

48 + 18 = 66 hours.

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Answer: x = 30

Step-by-step explanation:

Since AB and CD are straight lines, vertical angles formed by them are congruent. Angle DOB is equal to angle AOC which is equal to 2x. Since you know that a straight angle is equal to 180 degrees, you can say :

2x + 90 + x = 180

3x + 90 = 180

3x = 90

x=30

Hope this helped :)

a) Proof by contradiction is different of traditional proof because it accepts a single example showing that a statement is either false or true, instead of having the need to derive a general relationship for all input values.

b) As the sum of the measures is of 180º, and one of the measures is of 100º, hence the measure of angle G is given as follows: m < G = 80º.

When two angles are supplementary, we have that the sum of their measures is of 180º.

The supplementary angles for this problem are given as follows:

Item b:

Hence the measure of angle G is obtained as follows:

m < F + m < G = 180º

m < G = 80º.

Item a:

Simply obtaining the angle measure is enough to prove that the statement is true by contradiction.

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The total number of acres planted for the optimal solution is not provided in the given information.

The amount of fertilizer (in tons) required to produce only corn is not provided in the given information.

The peak number of acres of wheat planted as fertilizer availability varies from 200 tons to 2200 tons in 100-ton increments cannot be determined without additional information.

I can help explain the general approach to answering the questions you mentioned.

To determine the total number of acres planted for the optimal solution, you would need to refer to the problem's constraints and objective function. The optimal solution would be obtained by solving the problem using linear programming techniques such as the simplex method or graphical method. By solving the problem, you can identify the values of the decision variables (such as acres planted) that maximize or minimize the objective function while satisfying the given constraints. The total number of acres planted for the optimal solution would depend on the specific problem setup and the solution obtained.

Similarly, to find out how much fertilizer would be needed to produce only corn, you would need to refer to the constraints and objective function of the problem. The specific requirements and coefficients associated with the corn production and fertilizer usage would determine the amount of fertilizer needed. By solving the problem, you can obtain the value of the decision variable representing fertilizer usage, which would indicate the required amount of fertilizer in tons.

SolverTable is a tool in Excel that allows you to perform sensitivity analysis by varying certain input values and observing the impact on the output. By using SolverTable, you can analyze the relationship between fertilizer availability (input) and acres planted (output) in the given problem. By varying the fertilizer availability from 200 tons to 2200 tons in 100-ton increments, you can observe how the acres of wheat planted change accordingly. The peak number of acres of wheat planted would be the maximum value observed during this range of fertilizer availability.

Since I don't have access to the specific problem you mentioned, I cannot provide precise answers or calculations. Please refer to the problem in your textbook or reference material to obtain the exact values and final answers.

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Based on the given choices, the correct answer is A. 22.To determine the answer to the given equation with the correct number of significant figures:

We need to consider the significant figures of the values involved in the calculation and apply the rules for significant figures during the calculation.

Steps explaining the calculation:

Identify the significant figures in each number:

106 has three significant figures.

9.02 has three significant figures.

1.9 has two significant figures.

Perform the division: 106 ÷ 9.02 = 11.7527722772...

Apply the significant figures rule: Since 9.02 has three significant figures, the result of the division should also have three significant figures. Therefore, the result is 11.7 (rounded to three significant figures).

Multiply the result by 1.9: 11.7 × 1.9 = 22.23

Apply the significant figures rule again: Since 1.9 has two significant figures, the final answer should also have two significant figures. Therefore, the answer is 22.

Based on the given choices, the correct answer is A. 22.

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Answer:

vertex: (-5, 2)

axis of symmetry: x = -5

Step-by-step explanation:

The vertex for a downward-opening parabola is the absolute maximum. In this case, the vertex is (-5,2) because the range does not exceed y=2 when x=-5.

The axis of symmetry is a line that divides the parabola into two halves by a vertical axis. This means that the axis of symmetry is x=-5

Answer:

x = 14

angles are 96, 42, 42

Step-by-step explanation:

sum of all angles in a triangle is 180

3x + 3x + 96 = 180

6x + 96 = 180

6x = 180 - 96

6x = 84

x = 14

angles are 96, 3x, 3x

96, 3*14, 3*14

96, 42, 42

Answer:

x=14

Step-by-step explanation:

3x + 3x + 96 = 180º    

6x +96º = 180º

6x = 180º - 96º

6x= 84

x = 14

If we assume that 1 Student can have atmost 1 award , then the possible selections for the 4 awards is  657720 .

The total number of students at Gatech is = 30 ;

The 4 awards that are being distributed to students are : Chemistry, English, Math and Physics ;

all the awards are different , and 4 students needed to be chosen out of 30 for 4 awards ; and

every student can have atmost only 1 award

So , the number of ways is = ³⁰P₄ (because order is important) = 657720 ;

Therefore , the possible selection for 4 awards is 657720 .

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The given question is incomplete , the complete question is

At Gatech there are 30 students and 4 awards in Chemistry, English, Math and Physics. Assume that a student can have at most one award.

How many possible selections for the 4 awards ?  

The Fox News Survey gives a better estimate of the percentage of all US adults who would say they believe in God.

The Fox News Survey gives a better estimate of the percentage of all US adults who would say they believe in God. This is because it was conducted using a random sample of 900 adults nationwide, which helps to reduce biases and ensure that the sample represents the population as accurately as possible. On the other hand, the CNN Quick Vote survey relied on self-selected participants who chose to cast their vote online, which can introduce selection bias and may not be representative of the entire population. Therefore, the results of the Fox News Survey are likely to be more accurate and reliable.

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x 2 + y 2 = 20

This is the form of a circle. Use this form to determine the center and radius of the circle.

( x − h ) 2 + ( y − k ) 2 = r 2

Match the values in this circle to those of the standard form. The variable r represents the radius of the circle, h represents the x-offset from the origin, and k represents the y-offset from origin.

r = 2 √ 5

h = 0

k = 0

The center of the circle is found at ( h , k )

. Center: ( 0 , 0 )

These values represent the important values for graphing and analyzing a circle.

Center: ( 0 , 0 )

Radius: 2 √ 5

If you only have $10 and the book costs $20, No, you cannot buy the book. However, if you have $25, Yes, you can afford the book and still have $5 left after the purchase.

In scenario A, where you have $10 and the book costs $20, you cannot buy the book. The cost of the book exceeds the amount of money you have, leaving you $10 short. In this case, you would need to find an additional $10 in order to afford the book.

In scenario B, where you have $25 and the book costs $20, you can buy the book. With $25, you have enough funds to cover the full price of the book. After purchasing the book, the remaining amount found by subtraction of the cost of the book from the amount you have (ie) the remaining amount = the amount you have - the cost of the book = $25 - $20 = $5

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The given question is

You want to read a certain book.

A. This book costs $ 20. If you only have$ 10, can you buy the book?

B. If you have $ 25, can you buy the book?