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ABCD is a quadrilateral. What is the measure of angle BAD? State your reasons.

Answer: B = D

because we have:

\(x^{1/3}.x^{1/3}.x^{1/3}=x^{1/3+1/3+1/3}=x^{3/3}=x^{1}=x\)

\(\frac{1}{x^{-1} }=\frac{1}{\frac{1}{x} }=x\)

Step-by-step explanation:

Answer:

Each student will get more than one burrito

Step-by-step explanation:

This is beause when you divide 6 by 4, you get 1.5. So basically they ech get 1 and a half burrito, which is more than one.

The value of the sample proportion of people from Vermont who exercised for at least 30 minutes a day 3 days a week is 0.653, which is equivalent to 65.3%.

It is important to note that this value is based on a random sample of respondents and may not necessarily represent the true proportion of the entire population of Vermont who exercise regularly.

To find the sample proportion of people from Vermont who exercised for at least 30 minutes a day, 3 days a week, follow these steps:

1. Convert the given percentage (65.3%) to a decimal by dividing by 100: 65.3 / 100 = 0.653
2. Multiply the decimal by the number of participants in the random sample (100 respondents): 0.653 * 100 = 65.3
3. Round the result to the nearest whole number to find the number of participants who exercised: 65.3 ≈ 65
4. Divide the number of participants who exercised (65) by the total number of participants in the random sample (100): 65 / 100 = 0.65

This means that out of the 100 participants sampled from Vermont, 65.3 of them answered "yes" to the question of whether they had exercised for more than 30 minutes a day for three days out of the week.

The value of the sample proportion of people from Vermont who exercised for at least 30 minutes a day, 3 days a week is 0.65 or 65%.

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Answer:

the slope of the line represented by the table is y = 2/11x

Step-by-step explanation:

y = mx + b

slope: (y² - y¹) / (x² - x¹)

(4 - 2) / (22 - 11) = 2/11

plug in an x and y value to find b

y = 2/11x + b

2 = (2/11)(11) + b

2 = 2 + b

b = 0

the y-intercept is 0

your equation is y = 2/11x

Answer:

x = 1

Step-by-step explanation:

Both equations can be set equal to each other since they are both equal to y:

\(x-10=-4x-5\\5x-10=-5\\5x=5\\x=1\)

equate both equations !

x - 10 = -4x - 5

5x - 10 = -5

5x = 5

x = 1

therefore x = 1

Hey there!

Let's make an equation

=> 9h = 144

{ Make h the subject of formula}

=> 9h = 144

=> 9h/9 = 144/9

=> h = 144/9

=> h = 16

The transformation f(x) ↦ f(x) -1/2 shifts the graph of f(x) downward by 2 units.

For example, suppose that point (a, b) lies on the graph of f(x). After applying the transformation f(x) ↦ f(x) - 1/2, the point (a, b - 1/2) lies on the transformed graph.

So, when the original graph of f(x) was above the x-axis, the transformed graph will be shifted downward and intersect the x-axis 1/2 units below where the original graph intersected it.

When the original graph of f(x) was below the x-axis, the transformed graph will be shifted downward and move further away from the x-axis.

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The probability that he would have done at least this well if he had no ESP is approximately 2.4%. This can be calculated by determining the probability of getting 22 or more of 30 coin flips correct by chance, which is 0.024.

The probability of getting 23 or more of 30 coin flips correct by chance is 0.0048. The probability of getting 24 or more of 30 coin flips correct by chance is 0.0008. The probability of getting 25 or more of 30 coin flips correct by chance is 0.00012. The probability of getting 26 or more of 30 coin flips correct by chance is 0.000016. The probability of getting 27 or more of 30 coin flips correct by chance is 0.000002. The probability of getting 28 or more of 30 coin flips correct by chance is 0.00000003. The probability of getting 29 or more of 30 coin flips correct by chance is 0.000000004. The probability of getting 30 of 30 coin flips correct by chance is 0.00000000003.

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Attached above is the graph of the line passing through the points (2, -6) and (-1,9).

How to plot the graph:

Firstly, we need to locate the first point (2,-6)

That means a point 2 on the x axis and -6 on the y-axis.

Then, next locate the second point (-1,9)

That means a point -1 on the x axis and 9 on the y-axis.

Then lastly, join the two points.

Answer:

1. Yes, 90+45+45=180

2. Yes, adds to 180

3. No

4. No

Step-by-step explanation:

Answer:

\(5mn^{2} (2+ 5m^{2} n)\)

Step-by-step explanation:

I assumed the polynomial is \(10mn^{2} +25m^{3}n^{2}\)

FIRST: Highlight the common factors{ 5 , m and\(n^{2}\))

\(5mn^{2} (2+ 5m^{2} n)\)

Answer:

C. The cost of  show tickets is $30

Step-by-step explanation

Answer:

Step-by-step explanation:

6) Area of rectangle = 78.5 sq . cm

length * width = 78.5

15.7 * width = 78.5

        Width = 78.5/15.7

                  = 5 cm

7) circumference of circle = 44 cm

\(2\pi r = 44 \\\\2*\dfrac{22}{7}*r=44\\\\r = 44*\dfrac{7}{2*22}\\\\r = 7\)

r = 7 cm

Answer:

sqrt66

Step-by-step explanation:

Area of a square is

A = s^2

Here, the area is 66.

66 = s^2

Squareroot both sides to solve.

sqrt66 = s

The side of the square is sqrt66 ft.

This number, sqrt66 is not a rational number because 66 is not a perfect square. Sqrt64 is 8, sqrt81 is 9. But sqrt66 is 8.1240384046 (continuing, neverending, never repeating decimal)

That is not rational.

The required values of x and y that allows these two triangles to be similar are x=(32±√239)/5, y=(19±2√239)/5.

Let the first triangle be called ABC where A(-1, 4), B(-3, 5) and C(-6, 1).

Let the second triangle be called LMN where L(-2, 8), M(-6, 10) and N(x, y)

Now if the 2 triangles are similar then the ratio of the lengths of corresponding sides will also be equal.

AB: BC= \(\sqrt{(-1+3)^{2}+(4-5)^{2} }\):\(\sqrt{(-1+6)^{2}+(5-1)^{2} }\) = √5:√41

AC: BC= \(\sqrt{(-1+6)^{2}+(4-1)^{2} }\): \(\sqrt{(-1+6)^{2}+(5-1)^{2} }\)=√34:√41

Now,

LM: MN= \(\sqrt{(-2+6)^{2}+(8-10)^{2} }\):\(\sqrt{(x+6)^{2}+(y-10)^{2} }\)

=2√5:\(\sqrt{(x+6)^{2}+(y-10)^{2} }\)

Comparing LM: MN to AB: BC we get \(\sqrt{(x+6)^{2}+(y-10)^{2} }\)=2√41

∴ \((x+6)^{2}+(y-10)^{2}\) = 164...... (1)

Again, LN: MN= \(\sqrt{(x+2)^{2}+(y-8)^{2} }\) : \(\sqrt{(x+6)^{2}+(y-10)^{2} }\)= AC: BC= √34:√41

Applying (1) to this rati we get: \(\sqrt{(x+2)^{2}+(y-8)^{2} }\)=2√34....(2)

Solving (1) and (2) we get: 8x-4y=32-68=-36

∴ 2x-y=9

Substituting y=2x-9 in (1) we get: \((x+6)^{2}+(2x-9)^{2}\)=164

Solving we get x=(32±√239)/5, y=(19±2√239)/5

Hence we get the required answers.

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Explanation:

8% do not use either group, so that means 100% - 8% = 92% use one or both groups. The other values aren't needed.

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

Explanation:

When we round that value mentioned above to the nearest whole number, we end up with 340 grams. So we have to think in reverse of the rounding process to try to see which values round to 340, and go for the lowest one.

Something like 339.49 will round to 339 grams. The same applies to 339.499 and so on. This means the lowest we can go is 339.5

Going the opposite direction, there technically is no largest possible value. We could have 340.49 or 340.499 or 340.4999 and so on. These values are all approaching 340.5 but never actually get there.

In short, the possible weights x are \(339.5 \le x < 340.5\) where rounding any of those x values to the nearest whole number will get you 340 grams. We see that 339.5 grams is the smallest possible x value.

Answer:

c) x = 1 ± i √29 / 5​

Step-by-step explanation:

assuming we are solving for x we can use the quadratic formula

quadratic formula : \(\frac{-b+or-\sqrt{b^2-4(a)(c)} }{2(a)}\)

where the values of a,b and c are derived from the equation

the equation is put in quadratic form : ax² + bx + c

so in 5x² -2x + 6 a = 5 , b = - 2 and c = 6

we then plug these values of a, b and c into the quadratic formula

recall quadratic formula \(\frac{-b+or-\sqrt{b^2-4(a)(c)} }{2(a)}\)

a = 5 , b = - 2 , c = 6

\(\frac{-(-2)+or-\sqrt{(-2)^2-4(5)(6)} }{2(5)}\)

remove parenthesis at -(-2) to get positive 2 because the negative signs cancel out

\(\frac{2+or-\sqrt{(-2)^2-4(5)(6)} }{2(5)}\)

evaluate exponent

\(\frac{2+or-\sqrt{4-4(5)(6)} }{2(5)}\)

multiply -4(5)(6)

\(\frac{2+or-\sqrt{4-120} }{2(5)}\)

subtract 120 from 4

\(\frac{2+or-\sqrt{-116} }{2(5)}\)

multiply 2 and 5

\(\frac{2+or-\sqrt{-116} }{10}\)

because we cant have a negative square root we replace the negative sign with i (which equals -1 )  and add it to the outside of the square root

\(\frac{2+or-i\sqrt{116} }{10}\)

we then simplify  the radical

\(\frac{2+or-2i\sqrt{29} }{10}\)

we then simplify the fraction

2/10 = 1/5 so both 2's cancel out

\(\frac{1+or-i\sqrt{29} }{10}\)

the answer is C

Answer:

what happened with you

Step-by-step explanation:

which questions do you ask with me

Polynomials are algebraic expressions consisting of terms that include real numbers, variables, and positive integer exponents. Each term in a polynomial has a variable raised to a non-negative integer power, and the coefficient of each term is a real number. Polynomials are classified by the degree of their highest power. If two or more terms in a polynomial have the same variable raised to the same power, they can be combined into a single term.

1. -x² + x - x² + 1

Combine like terms: -x² + x - x² + 1 = -2x² + x + 1

This polynomial has degree 2 because the highest power of the variable is 2.

2. x² + x + 2x³ - x

Rearrange terms: 2x³ + x² + x - x = 2x³ + x²

This polynomial has degree 3 because the highest power of the variable is 3.

3. 4x + x + x - 2

Combine like terms: 4x + x + x - 2 = 6x - 2

This polynomial has degree 1 because the highest power of the variable is 1.

4. 3x² + 4 - 3x² - 1

Combine like terms: 3x² - 3x² + 4 - 1 = 3

This polynomial has degree 0 because there is no variable term.

Therefore, the four given polynomials have degrees 2, 3, 1, and 0, respectively.

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Answer:

Top right corner.

Step-by-step explanation:

\(9.28+2x=18.14\\2x=8.86\\x=4.43\)

Since x = 4.43, we want the point to be around halfway from 4 to 5 therefore the top right corner should be closest.

There are 81 possible outcomes.

There are 4 possible odd numbers greater than 1 and less than 9.

They are: 3, 5, 7, 9.

Since 9 is not less than 9, it is not a valid outcome.

Therefore, each button press has 3 possible outcomes.

The total number of possible outcomes for 5 button presses is 3 to the power of 5 which is:

\(3^4 = 81\)

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Answer:

? = 9

Step-by-step explanation:

you know 99 + 33 = 132 so you can substitute that: 132 = 11 (? + 3). im going to change ? into x for now: 132 = 11 (x + 3). then distribute the 11 so 132 = 11x + 33. then subtract 33 from both sides (99 = 11x) and divide both side by 11 (x = 9) and you get 9!

hope this helps!

The probability that both selected cartridges are defective is 0.015 (or 1.5%). To calculate the probability, we need to determine the number of favorable outcomes (selecting 2 defective cartridges) and the total number of possible outcomes (selecting any 2 cartridges).

The number of favorable outcomes can be found by selecting 2 defective cartridges out of the 6 available. This can be calculated using the combination formula: C(6, 2) = 6! / (2! * (6 - 2)!) = 15. The total number of possible outcomes is the number of ways to select any 2 cartridges out of the 80 available, which can be calculated using the combination formula: C(80, 2) = 80! / (2! * (80 - 2)!) = 3,160. The number of favorable outcomes can be found by selecting 2 defective cartridges out of the 6 available.

Therefore, the probability is given by: favorable outcomes / total outcomes = 15 / 3,160 ≈ 0.015, or 1.5%. The probability of selecting 2 defective cartridges at random from the shelf is approximately 0.015, or 1.5%.

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Answer:

y + 5 = 2(x−4)

Step-by-step explanation:

slope = 2

y = mx + b

-5 = 2(4) + b

-5 = 8 + b

-8    -8

------------------

-13 = b

y = 2x - 13, in other words --> y + 5 = 2(x−4)

So, y + 5 = 2(x − 4) is the equation of the line that passes through (4, -5).

Answer:

y + 5 = 2(x−4)

Step-by-step explanation:

y = mx + b

-5 = 2(4) + b

-5 = 8 + b

subtract 8 on both sides

-13 = b

The probability that the third hole drilled is the first to yield a productive well is 0.192.

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Answer:

24

Step-by-step explanation:

y= 24-4x

2x+8 = 22

2x+8-8 = 22-8

2x = 14

2x/2 = 14/2

x=7

Hope this helps :)

Answer:

\(2x+8=22\)

\((2x+8)+(-8)=22+(-8)\)

\(2x+8-8=22-8\)

\(x=7\)

OAmalOHopeO

Angle 2 and angle of 34° are vertical angles, then they are congruent, that is,

Angle 6 and angle of 34° are corresponding angles, then they are congruent, that is,

Angle 4 and angle of 34° are alternate interior angles, then they are congruent, that is,

Angle 7 and angle of 34° are same-side interior angles, then they are supplementary, that is,

Angles 4 and 3 are same-side interior angles, then they are supplementary, that is,

Angles 7 and 5 are vertical angles, then they are congruent, that is,

Angles 1 and 3 are vertical angles, then they are congruent, that is,