If the measures of two angles of a triangle are 96° and 34°, what is the measure of the third angle?
The measure of the third angle is (Simplify your answer.)

1. The straight-line solutions are of the form y = kx + c, where k and c are constants.

2. The general solution is f(x) = kx + c, where k and c can be any real numbers.

3. The behavior of solutions depends on the value of k: if k > 0, the solutions increase as x increases; if k < 0, the solutions decrease as x increases; and if k = 0, the solutions are horizontal lines. The equilibrium point at (0, 0) is classified as a stable equilibrium point.

a) To identify the straight-line solutions, we need to find the points on the graph where the slope is constant. This means the derivative of the function with respect to x is a constant. Let's assume our function is f(x).

So, we have f'(x) = k, where k is a constant.

By integrating both sides, we get f(x) = kx + c, where c is an arbitrary constant.

Therefore, the straight-line solutions are of the form y = kx + c, where k and c are constants.

b) The general solution can be written as f(x) = kx + c, where k and c can be any real numbers.

c) The behavior of solutions depends on the value of k.
- If k > 0, the solutions will be increasing lines as x increases.
- If k < 0, the solutions will be decreasing lines as x increases.
- If k = 0, the solutions will be horizontal lines.

The equilibrium point at (0, 0) is classified as a stable equilibrium point because any small disturbance will bring the system back to the equilibrium point.

In summary, the straight-line solutions are of the form y = kx + c, where k and c are constants. The behavior of solutions depends on the value of k, and the equilibrium point at (0, 0) is a stable equilibrium point.

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Answer:

y=2 and x=1

Step-by-step explanation:

2y=7y-14+4

2y-7y=-14+4

-5y=-10/-5

y=2

4x=6-4+2x

4x-2x=6-4

2x=2/2

x=1

The scatter plot has no slope

From the scatter plot, we can see that the points are scattered on the plot, and they do not appear to follow a linear pattern

This means that the plot has no slope

Hence, the scatter plot has no slope

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\($x+3= \pm \sqrt{\frac{21}{2}}$\)  Thus, option D is correct.

the quadratic equation  \(2x^2+12x-3=0$ is \ $x = \frac{-6 \pm \sqrt{42}}{2}\), which simplifies to \($x = -3 \pm \frac{\sqrt{42}}{2}$.\)

However, the three options listed are the steps that Inga could use to solve the quadratic equation, and only three of them are correct. The correct options are:

\($2\left(x^2+6 x\right)=-3$\)

\($2\left(x^2+6 x\right)=3$\)

\($x+3= \pm \sqrt{\frac{21}{2}}$\)

Option 1 is the result of dividing both sides of the original equation by 2, which simplifies the coefficients.

Option 2 is the result of adding $\frac{3}{2}$ to both sides of the equation to isolate the quadratic terms. Option 3 is the final step, where the equation is solved for $x$ by completing the square and taking the square root of both sides.

Therefore,  it is not one of the three steps that Inga could use to solve the quadratic equation. \($x+3= \pm \sqrt{\frac{21}{2}}$\)

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Inga is solving \($2 x^2+12 x-3=0$.\) Which steps could she use to solve the quadratic equation? Select three options.

\($2\left(x^2+6 x+9\right)=3+18$\)

\($2\left(x^2+6 x\right)=-3$\)

\($2\left(x^2+6 x\right)=3$\)

\($x+3= \pm \sqrt{\frac{21}{2}}$\)

They support an increase in the state sales tax from 5% to 6%, with the additional revenue going to education. Let denote the proportion of adults in the sample who say they support the increase. Suppose that 40% of all adults in Ohio support the increase. the correct answer is (d) 0.40.

Mean is nothing but the average of the given set of values. It denotes the equal distribution of values for a given data

set.  The mean, median and mode are the three commonly used measures of central tendency.

To calculate the mean, we need to add the total values given in a datasheet and divide the sum by the total number of

values.

The mean, μ, of the sampling distribution of p can be found using the formula

μ = p,

where p is the proportion of adults in the entire population who support the increase.

In this case, 40% of all adults in Ohio support the increase, so p = 0.40.

Therefore, the mean of the sampling distribution of p is:

μ = 0.40

So the correct answer is (d) 0.40.

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\(\Large \boldsymbol{} \pmb {Answer: |x|<6}\)

Step-by-step explanation :

\(\displaystyle \Large \boldsymbol{} |x|< 6 =>{ \left \{ {{\!\!\!x< 6} \atop {x> -6}} \right. } => \boxed{x \in (-6 ; 6 )} \ \ right\)

Answer:

There is a 3/7 chance for a gray kitten, a 4/7 chance for a male kitten, and a 1/7 chance for a gray male kitten.

Step-by-step explanation:

Total Kittens = 7 (each of the following will be out of the total amount of kittens)

2/7 = Gray Female

1/7 = Gray Male

1/7 = Black Female

3/7 = Black Male

Total Male Kittens = 4/7

Total Gray Kittens = 3/7

Answer:

Length = 27 feet and Width = 14 feet

Step-by-step explanation:

W = Width (w+13)

P = 2L + 2W

82 = 2 (W+13) + 2W

82= 4W

56=4

W = 14 feet

Length = w + 13

13 + 14 = 27 feet  

Length = 27 feet

Answer:

6 thousand 438 divided by 6 equals 1 thousand 73

953 divided by 7 equals 136 R 1

Step-by-step explanation:

Calculation for the equations that are correct

The equations that are correct are:

6 thousand 438 divided by 6 equals 1 thousand 73 which is written as 6,438/6=1073 will be calculated using this formula

Numerator/Denominator

Where,

Numerator=6,438

Denominator=6

Let plug in the formula

6,438/6

=1,083

953 divided by 7 equals 136 R 1 which is written as 953/7= 136.1 is calculated using this formula

Numerator/Denominator

Where,

Numerator=953

Denominator=7

Let plug in the formula

953/7

=136.1

Therefore the equations that are correct are :

6 thousand 438 divided by 6 equals 1 thousand 73 and 953 divided by 7 equals 136 R 1

Answer:

5:9

Step-by-step explanation:

just divide both sides by 5 and then you get the ratio 5:9

Answer: 5/9 g

Step-by-step explanation:

Based on the given information, we can expect the p-value for a two-sided test using this data to be smaller than 0.05. This is because the 95% confidence interval for the mean does not contain 0, which indicates that there is a statistically significant difference between the yield of silver queen and country gentlemen.

A p-value is a measure of the evidence against the null hypothesis (which in this case would be that there is no difference between the two corn varieties). The smaller the p-value, the stronger the evidence against the null hypothesis and the more likely we are to reject it. In general, if the p-value is smaller than the chosen significance level (usually 0.05 or 0.01), we reject the null hypothesis and conclude that there is a significant difference between the two groups being compared.

Therefore, in this case, we can expect the p-value to be smaller than 0.05 and conclude that there is a significant difference in the yield of silver queen and country gentlemen.

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Answer:

Step-by-step explanation:

hope this helped<3

The angle subtended at the center of the arc is 102⁰

Recall that to find the length of an arc on a circle, we can use the formula L = r *, where r is the radius of the circle, is the central angle, and is the angle between the ends of the arc.  If the central angle is measured in degrees, we can use the formula L = r *, where r is the radius of the circle, is the central angle, and is the angle between the ends of the arc.

Lenght of arc = A/360 *2пr

A = angle at center = ?

п = 22/7 r = radius = 840 feet

⇒1500 = A/360  2 *22/7 * 840

1500 = 36960A/2520

3780000= 36960A

making A the subject we have

3780000/36960 = A

A = 102.27

A= 102⁰

The angle is 102⁰

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Answer & Step-by-step explanation:

7. The slope-intercept form of a linear equation is y = mx+b where m is the slope and b is the y-intercept. Looking at the two equations, we can rearrange them to be

y = -8x+1

y = 8x+2

From this, we can see that the m, or slope, of the equations are -8 and 8 respectively. Thus, we can determine that the steepness of both equations are equal though one is pointed downwards and the other upwards.

8. We already know that m is the slope so if the function is increasing, the slope is going upwards, thus m must be larger than 0.

Next, we plug in (4,0) into the function to determine b.

f(x) = mx + b

0 = m(4) + b

Since we have determined that m is larger than 0 and thus a positive number, m*4 will be a positive number. The only way for m(4) + b to equal to 0 then is for b to be a negative number, smaller than 0.

Answer: 54°

Step-by-step explanation:

We can see that this triangle is a right triangle (look at the little square in the triangle's corner-- that tells us that it's a right angle). A right angle is 90°

A triangle always has 180° in total.

So, we can add 90° and 36° and subtract the sum from 180°

180° - (90° + 36°) = 180° - 126° = 54°

Answer:

x = 54

Step-by-step explanation:

One of the properties for any triangle is that the sum of angles in the triangle will always equal 180 degrees. As one can see, one of the angles is (90) degrees, this is indicated by the box around the angle. It is given that one of the other angles is (36) degrees. One can call the unknown angle (x) and form an equation. Substitute in the given values and solve for (x).

(90) + (36) + (x) = 180

Simplify,

126 + x = 180

Inverse operations,

126 + x = 180

-126       -126

x = 54

Answer: its 8t²

Step-by-step explanation:

Answer:

Sum = 8t²

Step-by-step explanation:

Let's solve the problem,

→ 4t² + 2 + 4t² - 2

→ (4t² + 4t²) + (-2 + 2)

→ 8t² + 0 = 8t²

Hence, the answer is 8t².

Answer:

2x+3y=-6

Step-by-step explanation:

the intercepts are (-3,0) (x intercept) and (0,-2) (y intercept)

this means that when x = 0, y = -2 and when y = 0, x = -3.

the last two are not in standard form, so we can eliminate those.

the answer also cannot be the second one because both intercepts are negative. when we solve it, the intercepts would be (3,0) and (0,2). the answer must be 2x+3y=-6.

sorry for the late reply!

Answer:

I believe its A. 2x+3y=-6

Step-by-step explanation:

Answer:

The HOA board president is vested with the same powers typically given to the chief executive officer of a corporation. This office should be the authority on the rules and laws that govern the board, handle procedural duties, and serve as the spokesperson for business matters.

When two or more variables correlate, you may be tempted to conclude that the correlation is due to a relationship between the variables. In this instance, there's no connection between ice cream and homicide at all: the causation is actually between temperature and ice cream, and temperature and homicide.

Step-by-step explanation:

Recall:

Thus, from the scenario cited given the graph, ice cream sales rate correlates with murder rate. This shows a strong association between both rates. However, it does implies a causation.

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Answer:

\(=-23.2\)

Step-by-step explanation:

\(\left(-4\times \:5.2\right)-\left(-3\left(-\frac{4}{5}\right)\right)\\\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a,\:-\left(-a\right)=a\\=-4\times \:5.2-3\times \frac{4}{5}\\4\times \:5.2=20.8\\4\times \:5.2\\\mathrm{Multiply\:the\:numbers:}\:4\times \:5.2=20.\\=20.8\\3\times \frac{4}{5}=\frac{12}{5}\\3\times \frac{4}{5}\\\mathrm{Multiply\:fractions}:\quad \:a\times \frac{b}{c}=\frac{a\:\times \:b}{c}\\=\frac{4\times \:3}{5}\\\mathrm{Multiply\:the\:numbers:}\:4\times \:3=12\\\)

\(=\frac{12}{5}\\=-20.8-\frac{12}{5}\\\mathrm{Convert\:element\:to\:a\:decimal\:form}\\\frac{12}{5}=2.4\\=-20.8-2.4\\\mathrm{Subtract\:the\:numbers:}\:-20.8-2.4=-23.2\\=-23.2\)

Answer:

D. 1.06(3.19x + 1.20y + 1.20z)

Step-by-step explanation:

Since marker packs are 3.19 each, the cost of the marker packs she buys can be represented by 3.19x.

All spiral notebooks are 1.20 each, so the cost of the wide ruled notebooks can be represented by 1.20y.

The cost of the college ruled notebooks can be represented by 1.20z.

In the expression, all of these terms have to be added together and multiplied by 1.06 to calculate the sales tax.

So, the expression will be 1.06(3.19x + 1.20y + 1.20z)

D is the correct answer

Answer:

\( \tt \: 1.06(3.19x + 1.20y + 1.20 \: z)\)

Answer:

nine tenths

or, simpler:

zero point nine

Answer;

75 degrees

Step-by-step explanation:

80+10=90  90-15=75

The slope field shown in the question is that of a differential equation of the form y'= f(x,y).

The solutions of this equation are the curves in the slope field that emanate from each point and that have the same slope as the line at that point. Thus, for each point (x,y) in the slope field, it is possible to calculate the particular solution that passes through that point.

The first statement is false because it involves the second derivative of the particular solution, which cannot be determined from the slope field. The second statement is false because a concave up graph requires that the derivative of the solution be increasing at x=0, but the slope field does not indicate the sign of the derivative of the particular solution. The third statement is false because a concave up graph requires that the derivative of the solution be decreasing at x=-1, which cannot be determined from the slope field. The fourth statement is false because a concave down graph requires that the derivative of the solution be increasing at x=0, which cannot be determined from the slope field.

In summary, none of the statements can be determined to be true or false from the slope field shown.

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Answer:

ghAnnabelle was right, she gave the dog more than enough

Step-by-step explanation:

Answer:

The graph of a quadratic function is a U-shaped curve called a parabola.

Step-by-step explanation:

you need to see all the measurements to know what m∠5 to get the answer.

Answer:

13.7

Step-by-step explanation:

A{2} + B{2} =C{2} \\

6{2} +B{2} =15{2} \\

6x6+B(2) =15x15\\

36+B(2)=225\\

            -36\\

            \sqrt{189} =13.7

Answer:

32 +x+x=180(Sum of angles of a triangle)

32+2x=180

2x=180-32

2x=148

x=148/2

Therefore,X=74

Answer:

the answer for x is 74°

Step-by-step explanation:

\(32 + x + x = 180 \\ 2x + 32 = 180 \\ 2x = 180 - 32 \\ 2x = 148 \\ x = 74 \: degrees\)

Answer:

0.05

Step-by-step explanation:

To change a decimal to a percentage, multiply it by 100.
So... 0.05 equals to 5%, because 0.05 × 100 = 5.

Answer:

m∡B = 120°

Step-by-step explanation:

base angles are equal

adjacent angles are supplementary so:

4x+20 + 3x-15 = 180

7x + 5 = 180

7x = 175

x = 25

∡B = 4(25) + 20

∡B = 120°

Answer:

39.6

Step-by-step explanation:

(3x-15)+(4x+20)+2x=360

9x+5=360

9x=355

*Divide each side by 9*

X=39.4

*SUBSTITUTE X*

3(39.4)-15=103.2

4(39.4)+20=177.6

*ADD THE TOTALS FROM ABOVE*

103.2+177.6= 280.8

360-280.8=79.2

*DIVIDE THE TOTAL BY 2*

79.2/2=39.6

*CHECK*

3(39.4)-15=103.2

4(39.4)+20=177.6

103.2+177.6+39.6+39.6=360 IS CORRECT.

Hope this helps! :)