Find an angle 0 coterminal to 801°, where 0° < 0 < 360°.​

Answer:

Step-by-step explanation:

Find the missing value of x in the arithmetic sequence below.

6, 2, x, -6, -10

6 - 4 = 2

2 - 4 = -2

-2 -4 = -6

-6 -4 = -10

☯︎ Let us find common difference,d by subtracting first term from second .i e.,\( a_2-a_1\) ,where \(a_1\) and \(a_2\) are first and second term .

✰common difference,d= 2-6 = -4

General term of Arithmetic Sequence,

\(\boxed{a_n = a+(n-1)d}\)

where,

So,

❄︎\(a_3 = a+(3-1)d\)

➪x = 6 + 2 × (-4)

➪x = 6 +(-8)

➪x = 6-8

➪x = -2

Answer:

8.07 × 10⁸

HOPE THIS HELPS

\(2x + 4(2 x + 7) = 3(2x + 4)\)

solve the ( x ).

\(2x + 4(2x + 7) = 3(2x + 4)\)

\(2x + 8x + 28 = 6x + 12\)

\(10x + 28 = 6x + 12\)

\(4x + 28 = 12\)

\(4x = - 16\)

\(x = - 4\)

2x+4(2x+7)= 3(2x+4)

2x+8x+28=6x + 12

10x+28=6x + 12

4x+28=12

4x= -16

x=-4

Answer:

28.85

Step-by-step explanation:

..... ....

......

Answer:

24 people

Step-by-step explanation:

((The numbers are up there, so I am not going to define each variable.))

For starters, there is no overlap between the double facilities groups, except the triple facility users, so:

19 + 9 + 16 - 4 = 40 people

Since there is overlap between single and double groups, you will need to subtract, so:

Gym: 73 - 19 - 16 = 38

Pool: 59 - 19 - 9 = 31

Track: 31 - 9 - 16 = 6

Total for 1 facility: 38 + 31 + 6 - 4 = 71 people

((Minus 4 because the 4 triple facility users overlap the double facility users (problem is in layers: layer 1 minus layer 2, then minus layer 3).))

Next, add the totals:

71 + 40 = 111 people (using facilities)

135 - 111 = 24 people (who didn't use any)

(((I'm not 100% sure on this answer, so if someone could check my work, that would be much appreciated.)))

Answer:

x = 4°

Step-by-step explanation:

all angles in a triangle sum up to 180°

6x + 38° + 5x + 8° + 90° = 180 °

11x +136° = 180°

11x = 44°

x = 4°

Answer:

The value of x is 4.

Step-by-step explanation:

As we know that the sum of interior angles of triangle is 180⁰.

So, adding all the given sides and subtracting to 180⁰, to find the value of x.

\(\begin{gathered} \quad{\implies{\sf{Sum\:of\:all\: angles={180}^{\circ}}}}\\\\\quad{\implies{\tt{6x + {38}^{\circ} + {90}^{\circ} +5x + {8}^{\circ} = {180}^{\circ}}}}\\\\\quad{\implies{\tt{(6x + 5x) + ({38}^{\circ} + {90}^{\circ} + {8}^{\circ}) = {180}^{\circ}}}}\\\\\quad{\implies{\tt{(11x) + ({128}^{\circ} + {8}^{\circ}) = {180}^{\circ}}}}\\\\\quad{\implies{\tt{(11x) + ({136}^{\circ}) = {180}^{\circ}}}}\\\\\quad{\implies{\tt{11x + {136}^{\circ} = {180}^{\circ}}}}\\\\\quad{\implies{\tt{11x = {180}^{\circ} - {136}^{ \circ}}}}\\\\\quad{\implies{\tt{11x = {44}^{ \circ}}}}\\\\\quad{\implies{\tt{x = \dfrac{44}{11}}}}\\\\\quad{\implies{\tt{\underline{\underline{x = 4}}}}}\end{gathered}\)

Hence, the value of x is 4.

Now, we know the value of x. So, calculating the mission angles of triangle :

\(\rule{300}{2.5}\)

Answer:

1/870 ≈ 0.0011494 or about 0.115% (rounded to 6 decimal places)

Step-by-step explanation:

The first digit can be any of the numbers between 10 and 40, except for those that end in 6 (since the last digit of all three numbers is 6). This leaves us with 30 numbers to choose from for the first digit. Similarly, the second digit can be any of the numbers between 10 and 40, except for those that end in 6 and the one chosen for the first digit. This leaves us with 29 numbers to choose from for the second digit.

For the third digit, we have only one option since we know it ends in 6.

So the total number of possible combinations is:

30 * 29 * 1 = 870

Out of these, only one combination is the correct one. Therefore, the probability of guessing the combination correctly on the first try is:

1/870 ≈ 0.0011494 or about 0.115% (rounded to 6 decimal places)

The correct statement for the given quadratic equation x² - 6x + 2 = 0 is the graph of the quadratic equation has a minimum value. Hence, correct option is C.

The graph of the quadratic equation has a maximum or minimum value depending on the sign of the leading coefficient. In this case, the leading coefficient is positive, which means the graph of the quadratic equation opens upwards and has a minimum value.

The extreme value is not at the point (7,-3) or (3,-7) because those points are not on the graph of the equation.

The solutions of the equation can be found using the quadratic formula

x = [-(-6) ± √((-6)² - 4(1)(2))] / (2(1))

x = [6 ± √(28)] / 2

x = [6 ± 2√7] / 2

x = 3 ± √7

Therefore, the correct statement is C.

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Answer:

A. 6 dollars per week.

Step-by-step explanation:

Because if you look carefully in the graph, you would see that the dot on 1 week is above 5 dollars so therefore, it would be 6 dollars. To check, look at the next dot and see. You will see that the dot above 2 weeks is in the middle of 10 and 15 dollars.

Hope I helped.

Answer:

a. $ 583

b. $ 30,316

Step-by-step explanation:

a). 0.11 * 5,300= $ 583 per week( commission )

b). In 2011, 52 weeks.

52* 583 =$ 30,316

In order to solve a system of linear equations using the elimination method coefficient of the eliminated variable should be equal with opposite sign.

As given,

Consider two linear equations

a₁ x +b₁ y +c₁=0     _(1)

a₂ x +b₂ y +c₂=0    _(2)

Now to eliminate x variable equate coefficient of x with opposite sign

Multiply (1) by a₂ and (2) by a₁ and subtract to use elimination method

a₁ a₂ x + b₁ a₂ y + c₁ a₂=0

a₁ a₂ x +a₁ b₂ y + a₁ c₂=0

-          -            -          

0x + (b₁ a₂ -a₁ b₂)y +(c₁ a₂-a₁ c₂)=0

Therefore, in order to solve a system of linear equations using the elimination method coefficient of the eliminated variable should be equal with opposite sign.

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We cannot determine the expressions that can be used to find "m" from the given options as none of the options listed are in the format of an expression that could be used to solve for "m".

We would need additional information or context to determine what "m" represents and how it is related to the given options.

The number of miles ran by Mick is 29 miles and the number of miles ran by Keith is 47 miles.

Given that, last month, Keith ran 18 more miles than Mick.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the number of miles ran by Mick be x.

Then, the number of miles ran by Keith will be x+18.

Here, total distance ran by both of them is 76 miles

So, equation is x+x+18=76

⇒ 2x+18=76

⇒ 2x=76-18

⇒ 2x=58

⇒ x=29 miles

So, x+18=47 miles

Therefore, the number of miles ran by Mick is 29 miles and the number of miles ran by Keith is 47 miles.

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Answer:

40% markup means the scale price is 1.40 times the cost. 1.40 ($20) = $28

Step-by-step explanation:

multiple the price by 1.40

hopefully this helped :)

Answer:

$28

Step-by-step explanation:

We can split this problem into two parts: the original price of the CD set and the 40% extra. We already know the original price of the CD set, so we just need to find the 40% extra. Let's convert 40% to a decimal instead of a percentage. We can do this by dividing by 100.

40/100 = 0.4.

Next, we multiply 20 by 0.4 to find the extra price:

20 * 0.4 = 8

So, the answer is 20 + 8 = $28

We can skip the step of adding the two items together by saying the CD set sells for 140% the original price. 20 * 1.4 = $28

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

y=1/2x+2

Step-by-step explanation:

Answer:

c = \(\sqrt{90}\)

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse c is equal to the sum of the squares on the other 2 sides, that is

c² = 9² + 3² = 81 + 9 = 90 ( take the square root of both sides )

c = \(\sqrt{90}\)

The correct answer is (b) Random variable X can be any positive value. The Poisson distribution is a discrete probability distribution that models the number of events occurring within a fixed interval of time or space, given the average rate of occurrence (denoted by λ).

It has several properties that distinguish it from other probability distributions:

(a) Random variable X can be zero (X=0): In the Poisson distribution, it is indeed possible for the random variable X to take on the value of zero. This means that there is a probability of no events occurring within the given interval.

(b) Random variable X can be any positive value: This statement is incorrect. The Poisson distribution deals with discrete events, meaning the random variable X can only take on non-negative integer values. It cannot be any positive real number.

(c) λ must be a positive value: This statement is correct. The parameter λ, which represents the average rate of occurrence, must be a positive value in the Poisson distribution. It determines the shape and intensity of the distribution.

(d) Variance is λ: This statement is correct. The variance of a Poisson distribution is equal to its mean, which is λ. Therefore, the variance is λ.

(e) Mean is λ: This statement is correct. The mean of a Poisson distribution is equal to the average rate of occurrence, which is λ. Therefore, the mean is λ.

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QUESTION:

Identify the slope and y-intercept of the function y = 3x - 6

ANSWER:

In all choices the correct answer is \(\green{\boxed{B}}\)

Slope: \(\green{{3}}\)

y-intercept: \(\green{{0, -6}}\)

EXPLANATION:

The slope-intercept form is \(\blue{{y = mx + b,}}\) where \(\blue{{m}}\) is the slope and \(\blue{{b}}\) is the y-intercept

\(\green{{y = mx + b}}\)

Find the values of \(\blue{{m}}\) and \(\blue{{b}}\) using the form:

\(\green{{y = mx + b}}\)

\(\green{{m = 3}}\)

\(\green{{b = -6}}\)

The slope of the line is the value of \(\blue{{m}}\), and the y-intercept is the value of \(\blue{{b}}\)

Slope: \(\green{\boxed{3}}\)

y-intercept: \(\green{\boxed{(0, -6)}}\)

hope it's helps

Step-by-step explanation:

Hey there!

The given points are; (-2,4) and (3,-6).

Slope formula;

\(slope(m) = \frac{y2 - y1}{x2 - x1} \)

Put all values.

\(m = \frac{ - 6 - 4}{3 + 2} \)

\(m = \frac{ - 10}{5} \)

Therefore the slope is -2.

Hope it helps...

The distance from a to the line passing through b and c is 7/5.

To find the distance from a point to a line, you can use the cross product and the dot product.

First, find the vector pointing from a to b and the vector pointing from b to c:

u = b - a = (3, -5, 0) - (0, 3, -5) = (3, -8, 5)

v = c - b = (3, 0, -5) - (3, -5, 0) = (0, 5, -5)

Next, find the cross product of these two vectors, which gives a vector orthogonal to the plane defined by the line:

n = u x v = (-40, 0, 40)

Finally, find the dot product of n and a - b, which gives the magnitude of the projection of a - b onto n:

d = |n . (a - b)| / |n| = |(-40, 0, 40) . (-3, -8, -5)| / |(-40, 0, 40)| = 57 / √(40^2 + 40^2) = 57 / √1600 = 57 / 40 = 7/5

Therefore, the distance from a to the line passing through b and c is 7/5.

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The midpoint of diagonal AC is (5,-3).

Given A(3,-1) and C(7,-5)

Let the midpoint of diagonal AC be represented by P (say). Then the coordinate of P can be calculated by using the formula listed below:

let us suppose the coordinates of A be (a, b) and B be (c, d) and P is the midpoint of AC then the coordinate of P will be (a+c/2, b+d/2).

Now, by using the above formula, we get

x-coordinate of P be (3+7)/2 = 10/2 = 5

y-coordinate of P be (-1+(-5))/2 = -6/2 = -3

∴ The coordinate of midpoint of AC i.e., P be (5, -3).

Hence, the midpoint of diagonal AC is (5,-3).

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Step-by-step explanation:

40 + 5 - 9x + 4

45 - 9x + 4 = 0

41 - 9x = 0

41 = 9x

41/9 = x

The z-score of a value that is 2.08 standard deviations greater than the mean is 2.08.

To find the z-score of a value that is 2.08 standard deviations greater than the mean, we can use the formula for z-score:

z = (x - μ) / σ

where x is the given value, μ is the mean, and σ is the standard deviation.

We are given that the value is 2.08 standard deviations greater than the mean. This means that the distance between the value and the mean is 2.08 times the standard deviation. We can represent the value as:

x = μ + (2.08 * σ)

Substituting this into the formula for z-score, we get:

z = ((μ + 2.08σ) - μ) / σ

Simplifying the expression, we get:

z = (2.08 * σ) / σ

The standard deviation terms cancel out, leaving us with:

z = 2.08

Therefore, the z-score of a value that is 2.08 standard deviations greater than the mean is 2.08. A positive z-score indicates that the value is above the mean by a certain number of standard deviations. In this case, the value is 2.08 standard deviations above the mean.

The z-score can be used to determine the relative position of the value within the distribution and to calculate probabilities using the standard normal distribution table.

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The height of the cone is 16 feet.

A cone is a three-dimensional geometric shape.

The right cone has a slant height of 20 ft and the diameter of the base is 24 ft.

Therefore, the height of the cone can be found as follows:

Using Pythagoras's theorem,

c² = a² + b²

where

The slant height of the cone is the hypotenuse side of the detached right triangle. The radius and the height of the cone is the other legs of the detached right triangle.

Hence,

diameter = 24 ft

r = radius = 24 / 2  = 12 ft

Hence,

20² - 12² = h²

400 - 144 = h²

h = √256

h = 16 feet.

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Answer:

The answer is c and b

Step-by-step explanation:

I took the test

Options B, C and D are correct.

We have Holly and her penny collection.

We have to select the correct alternatives from the given.

1 + nx = 40

nx = 39

n = 39/x

According to the question-

Initial Amount in piggy bank = 1 penny.

Now -

She adds -

2 Pennies on Day 1.

4 Pennies on Day 2.

8 Pennies on Day 3.

Therefore, the following sequence represents her collection -

1, 2, 4, 8 .....

It can be seen that each day corresponds to a unique amount of pennies in this sequence.

Now -

Vertical line test → to satisfy this test the graph should not have two or more points going through a vertical line.

Horizontal Line test → to clear this test the graph should not have two or more points going through a Horizontal line.

If we plot the graph of this function - Refer to image attached. It can be seen that the graph of this sequence passes horizontal line and vertical line test.

Hence, Options B, C and D are correct.

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Answer:

-7  -4  0 1 7

Step-by-step explanation:

x=0

x²-49=0

x²=49

x=±7

x²+3x-4= ² + 4 − − 4= ( + 4 ) − 1 ( + 4 )=(x+4)(x-1)=0

x+4=0

x=-4

x=1

Answer:

Step-by-step explanation:

That’s the same as 10n + 4n = -56

= 14n = -56

= n = -56/14

n = -4

Answer:

n = -4

Step-by-step explanation:

10n + 56 = -4n

56 = -14n

n = -4

The function f(x) = arcsin(\(x^2\)- 2x) is increasing for x > 1. To determine where the function f(x) = arcsin(\(x^2\) - 2x) is increasing, we need to find the intervals where its derivative, f'(x), is positive.

First, find the derivative of the inner function, g(x) = \(x^2\) - 2x:
g'(x) = 2x - 2
Now, find the derivative of the outer function, h(u) = arcsin(u), where u = g(x):
h'(u) = 1/√(1 - \(u^2\))
Using the chain rule, the derivative of f(x) is the product of the derivatives of the inner and outer functions:
f'(x) = h'(g(x)) * g'(x) = (1/√(1 - \((x^2 - 2x)^2)\)) * (2x - 2)
To find where f(x) is increasing, we need to determine where f'(x) > 0. Since the denominator of the fraction is always positive, we only need to focus on the numerator:
2x - 2 > 0
Solving for x, we get:
x > 1

The complete question is:-

Determine where f(x) = arcsin (\(x^{2}\) − 2x) is increasing.

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Answer:

Step-by-step explanation:

-Light from a stationary source travels at 300,000 km/sec.

- Or 186,000 miles/sec.

Hope this helps!