Marisol bought a soda for $1.99 and 6 bags of chips

Answer: 15

Step-by-step explanation: Use the formula: \(a^{2}+b^{2}=c^{2}\)

Remember \(c^{2}\) should always be the hypotenuse or the longest side.

\(112^{2}+b^{2}=113^{2}\) ---> evaluate the exponents

\(12544+b^{2}=12769\) ----> subtract 12544 to the other side

\(b^{2}=225\) ---> take the square root of both sides

\(b=15\)

The plots are (5,5) (7,3) (9,9) (11, 7) (13,5) (15,9) and y= 2.9 + 0.34x​

___________________

y= 2.9 + 0.34x​

_______________

Point 1

(5,5) = (x1, y1 )

x= 5

y= 2.9 + 0.34*5

y= 4.6

______

y1-y

5- 4.6 = 0.4

____________

Point 2

(7,3) = (x1, y1 )

x=7

y= 2.9 + 0.34*7

y= 5.28

______

y1-y

7- 5.28 = 1.72 = 1.7

_____________

Point 3

(9,9) = (x1, y1 )

x=9

y= 2.9 + 0.34*9

y= 5.96

________

y1-y

9- 5.96 = 3.04= 3

_____________

Point 4

(11, 7) = (x1, y1 )

x=11

y= 2.9 + 0.34*11

y= 6.64

______

y1-y

7- 6.64 = 0.36 = 0.4

____________

Point 5

(13,5) = (x1, y1 )

x=13

y= 2.9 + 0.34*13

y= 7.31

_____________

y1-y

5 - 7.32 = -2.32 = -2.3

___________

Point 6

(15,9)= (x1, y1 )

x=15

y= 2.9 + 0.34*15

y= 8

____________

y1-y

9 - 8 = 1

_____________

Answer:

Slope: -1

Step-by-step explanation:

(0, -2) and (1, -3)

m= (y2-y1)/(x2-x1)

m= (-3+2)/(1-0)

m= (-1)/(1)

m = -1

Answer:

Step-by-step explanation:

The measures of the non-right angles of each triangle are 40 degrees and 50 degrees.

The sum of the interior angles of a regular 18-gon can be found using the formula:

S = (n - 2) × 180 degrees

n is the number of sides of the polygon.

Substituting n = 18 we get:

S = (18 - 2) × 180 degrees

= 2880 degrees

The 18-gon into 36 right triangles need to draw 18 lines from the center of the polygon to its vertices dividing the polygon into 36 congruent sectors each with a central angle of 360 degrees / 18 = 20 degrees.

Each sector is an isosceles triangle with two sides of equal length radiating from the center of the polygon.

The vertex angle of each isosceles triangle is equal to twice the central angle or 40 degrees.

Since the vertex angle of a right triangle is 90 degrees the two non-right angles of each right triangle are 40 degrees and 50 degrees.

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Answer:

4 is the answer

Step-by-step explanation:

it 4 because you go bye 8s

Answer:

\(\begin{aligned}x &= 16\sqrt3 \\ &\approx 27.7\end{aligned}\)

Step-by-step explanation:

We can see that the longer leg (a) of a right triangle is half of the circle's radius. Since we are given the other two sides of the triangle (shorter leg and hypotenuse), we can solve for the length of the longer leg using the Pythagorean Theorem:

\(a^2 + b^2 = c^2\)

↓ plugging in the given values

\(a^2 + 2^2 = 14^2\)

↓ subtracting 2² from both sides

\(a^2 = 14^2 - 2^2\)

\(a^2 = 196 - 4\)

\(a^2 = 192\)

↓ taking the square root of both sides

\(a = \sqrt{192\)

↓ simplifying the square root

\(a = \sqrt{2^6 \cdot 3\)

\(a = 2^{\, 6 / 2} \cdot \sqrt3\)

\(a = 2^3\sqrt3\)

\(a = 8\sqrt3\)

Now, we can solve for the radius (x) using the fact that the longer leg of the triangle is half of it.

\(a = \dfrac{1}{2}x\)

↓ plugging in the a-value we solved for

\(8\sqrt3 = \dfrac{1}2x\)

↓ multiplying both sides by 2

\(\boxed{x = 16\sqrt3}\)

Answer: a

Step-by-step explanation: C is in quadrant 1 and quadrant 1 is (+,+)

The coordinate of the point C will be (b, c). Then the correct option is A.

The polygon which is having five sides and each side are congruent. And each internal angle of the Pentagon will be of 108 degrees.

The pentagon ABCDE with the coordinate of A, B, C, D, and E are given below.

If a line intersect the shape and the shape look identical on both sides of line, then the line is known as axis of symmetry.

In a regular pentagon, there are five line of symmetry.

In the figure, the y-axis is the axis of symmetry and the axis of symmetry is passing through the point D.

The point C is in the first coordinate, then the abscissa and ordinate will be positive.

Then the coordinate of the C will be (b, c).

Then the correct option is A.

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The polynomials completely factorized have the following expressions;

50). x³ - 3x² - 26x - 12 = (x - 6)(x + 1)(x + 2)

51). x³ - 12x² + 12x + 80 = (x - 10)(x + 2)(x - 4)

52). x³ - 18x² + 95x + 126 = (x - 9)(x - 2)(x - 7)

53). x³ - x² + 21x + 45 = (x + 5)(x - 3)(x - 3)

For the polynomial x³ - 3x² - 26x - 12 divisible by x - 6;

(x³ - 3x² - 26x - 12)/(x - 6) = x² + 3x + 2

x² + 3x + 2 = (x + 1)(x + 2)

so;

x³ - 3x² - 26x - 12 = (x - 6)(x + 1)(x + 2)

For the polynomial x³ - 12x² + 12x + 80 divisible by x - 10;

(x³ - 12x² + 12x + 80)/(x - 10) = x² - 2x - 8

x² - 2x - 8 = (x + 2)(x - 4)

so;

x³ - 12x² + 12x + 80 = (x - 10)(x + 2)(x - 4)

For the polynomial x³ - 18x² + 95x + 126 divisible by x - 9;

(x³ - 12x² + 12x + 80)/(x - 9) = x² - 9x + 14

x² - 9x + 14 = (x - 2)(x - 7)

so;

x³ - 18x² + 95x + 126 = (x - 9)(x - 2)(x - 7)

For the polynomial x³ - x² + 21x + 45 divisible by x + 5;

(x³ - x² + 21x + 45)/(x + 5) = x² - 6x + 9

x² - 6x + 9 = (x - 3)(x - 3)

so;

x³ - x² + 21x + 45 = (x + 5)(x - 3)(x - 3)

Therefore, by complete factorization the expressions (x - 6)(x + 1)(x + 2), (x - 10)(x + 2)(x - 4), (x - 9)(x - 2)(x - 7), and (x + 5)(x - 3)(x - 3) are the factors of their respective polynomial.

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Answer:

Step-by-step explanation:

Answer:

H0 : μ = 0.5

H0 : μ > 0.5

Kindly check explanation

Step-by-step explanation:

H0 : μ = 0.5

H0 : μ > 0.5

We perform a right tailed test :

Sample proportion :

Number of games won, x = 142

Number of games, n = 250

phat = x / n = 142 / 250 = 0.568 = 56.8%

Yes, it is consistent

Test statistic :

(phat - p) * √Phat(1-Phat)/n

1 -Phat = 1 -0.568 = 0.432

(0.568 - 0.5) /√(0.568*0.432)/250

0.068 / 0.0313289

= 2.17

The Pvalue using the z test statistic :

Pvalue = 0.015

α = 0.03

Since ;

Pvalue < α ; We reject the null and conclude that teams tend to win more often when they play at home.

Answer:The answer for the first one is log2(.25)=-2

The answer for the second one is 8^3=512

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

brainliest pls

Answer: -5057 if im wrong let me know

Answer:

-5057

Step-by-step explanation:

Simplify the expression:

-1083 + 3974

-1083 - 3974

-5057

Answer:

Step-by-step explanation:

To write y as a function of x using the given functions, we can substitute the value of "a" in the first equation with the expression "-5x + 1" from the second equation.

Given:

y = -3a + 3

a = -5x + 1

Substituting the value of "a" in the first equation:

y = -3(-5x + 1) + 3

Now, let's simplify this expression:

y = 15x - 3 + 3

y = 15x

Therefore, y can be expressed as a function of x as:

y = 15x

Answer: 0.5

Step-by-step explanation: it should be but  wait for other answers

The conditional relative frequency that a participant has brown hair, given that he/she has brown eyes is 0.71

We would solve this using Baye's Theorem:

Let R represent brown hair

Let B represent brown eyes

\(P = \frac{R}{B} = P\frac{(RnB)}{P(B)}\)

P(RnB)= 10

P(B)= 2 + 2 + 10 = 14

Therefore

\(P(\frac{R}{B} ) = \frac{10}{14}\)

= 0.71

Therefore, the correct answer is option D.

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Answer:

Value of x=4 and y=-13/3

Step-by-step explanation:

We need to solve the systems of equations

\(5x+3y=7 \ and \ \frac{3}{2}x-\frac{3}{4}y =9\frac{1}{4}\)

Solving using substitution method:

Let:

\(5x+3y=7---eq(1) \\ \frac{3}{2}x-\frac{3}{4}y =9\frac{1}{4}---eq(2)\)

Find value of x from eq(1) and put in eq(2)

\(5x+3y=7\\5x=7-3y\\x=\frac{7-3y}{5}\)

Put value of x in eq(2)

\(\frac{3}{2}(\frac{7-3y}{5}) -\frac{3}{4}y =\frac{37}{4}\\\frac{21-9y}{10} -\frac{3}{4}y =\frac{37}{4}\\Taking \ LCM\\\frac{21*2-9y*2-3y*5}{20} =\frac{37}{4}\\\frac{42-18y-15y}{20} =\frac{37}{4}\\42-33y=\frac{37}{4}*20\\42-33y=185\\-33y=185-42\\-33y=143\\y=\frac{143}{-33}\\y=-\frac{13}{3}\)

Now, finding value of x by putting value of y in eq(1)

\(x=\frac{7-3y}{5}\\x= \frac{7-3(-\frac{13}{3}) }{5}\\x=\frac{7+13}{5}\\x=\frac{20}{5}\\x=4\)

So, Value of x=4 and y=-13/3

The number of students who will be going on the trip is B. 40 students.

A mathematical expression is a rule-based set of numbers, variables, and mathematical operations performed to compute the output value.

The mathematical operations used to solve mathematical expressions include additions, subtractions, divisions, and multiplications.

The total of the weekend trip = $4,030

The cost of cleaning for the bus = $30

The cost of food and lodging per student = $60

The bus charge per student = $40

Total cost per student = $100 ($60 + $40)

The total cost, y = 4,030 - 30 - 100x

The number of students = x

x= (4,030 - 30)/100

= (4,000/100)

= 40.

Thus, the number of students who will be going on the trip is B. 40 students.

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Answer:

-1

Step-by-step explanation:

7-2(3+1)

=7-2(4) or =7-(6+2)

=7-8

=-1

Answer:

7 m

Step-by-step explanation:

To find the length of the apothem of a regular pentagon, we can use the formula:

apothem = (side length) / (2 * tan(180/n))

where n is the number of sides of the regular polygon.

In this case, the side length of the pentagon is 7.1 meters and n is 5. Plugging in these values, we get:

apothem = (7.1) / (2 * tan(180/5))

apothem = 7 meters (rounded to the nearest meter)

Therefore, the length of the apothem of the pentagon is 7 meters.

Answer:

Step-by-step explanation:

The probability that a mouse leaves first and then a bat is given as follows:

14/55.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

As the animal is not replaced, the probabilities for this problem are given as follows:

Hence the probability is given as follows:

4/11 x 7/10 = 2/11 x 7/5 = 14/55.

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Answer:

Option 1

Step-by-step explanation:

\(\frac{2x^2 - 7x-4}{x^2 - 5x+4}=\frac{(x-4)(2x+1)}{(x-4)(x-1)}=\frac{2x+1}{x-1}\)

=================================================

Explanation:

There are B = 3+5+4 = 12 marbles total, of which A = 12-5 = 7 are not black. Or you could note that we have A = 3 red + 4 white = 7 marbles that are not black.

The probability of selecting a non-black marble is A/B = 7/12

7/12 = 0.5833 = 58.33% approximately

The correct answer is C), because it is possible to create an economic model describing the relationship between fertilizer usage and yield.

The economic model would take into account the nonlinear relationship, which is shown in the graph. Specifically, the slope of the curve between one and two tons of fertilizer is approximately 2 (change in yield divided by change in fertilizer usage). This means that for every ton of fertilizer used, the yield increases by two (change in yield / change in fertilizer usage = 2). Although using more than three tons of fertilizer has minimal effect on yield, the economic model would still take this into account and provide a more accurate representation of the relationship between the two variables.

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The GCD of 5! and 7! is 2^3 * 3^1 * 5^1 = 120.

the greatest common divisor of 5! and 7! is 120.

To find the greatest common divisor (GCD) of 5! and 7!, we need to factorize both numbers and identify the common factors.

First, let's calculate the values of 5! and 7!:

5! = 5 * 4 * 3 * 2 * 1 = 120

7! = 7 * 6 * 5 * 4 * 3 * 2 * 1 = 5,040

Now, let's factorize both numbers:

Factorizing 120:

120 = 2^3 * 3 * 5

Factorizing 5,040:

5,040 = 2^4 * 3^2 * 5 * 7

To find the GCD, we need to consider the common factors raised to the lowest power. In this case, the common factors are 2, 3, and 5. The lowest power for 2 is 3 (from 120), the lowest power for 3 is 1 (from 120), and the lowest power for 5 is 1 (from both numbers).

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Answer: neither

Step-by-step explanation:

To get rid of the fractions, we pick a useful number and multiply both sides of the equation by that number. The number is useful if multiplying eliminates all fractions.

Answer:

It's A

Step-by-step explanation:

The y-intercept is 6, as seen on the chart.

To get the slope it is y2 - y1 / x2 - x1

Use the x and y intercepts

0 - 6 / 3 - 0

-6 / 3

-2

There you have your slope, just put it together!

y = -2x + 6

Answer:

(3.0)/(0.6)

m=6-0/0-3=-2

a

Step-by-step explanation: