8 squared c + 18c - 7 = -2

Answer:

135 degrees

Step-by-step explanation:

angle 3 and 7 are corresponding meaning that they are equal so we find the measure of angle 3

to do this we subtract the measure of 4 which is 55 from 180

180-55

135

hopes this helps

The condition for the first dark fringe through a single slit of width w is given by w sin(θ) = λ/2.

The condition for destructive interference at the first dark fringe can be found using the path difference between the two waves.

For the first dark fringe, the path difference between the two waves that pass through the edges of the slit must be half a wavelength:

Δx = λ/2

where Δx is the path difference and λ is the wavelength of the light.

The path difference Δx can be related to the width of the slit w and the angle θ that the diffracted wave makes with the central axis of the slit by:

Δx = w sin(θ)

Therefore, the condition for the first dark fringe can be expressed as:

w sin(θ) = λ/2

The condition for the first dark fringe through a single slit of width w is given by w sin(θ) = λ/2.

This means that if the width of the slit and the wavelength of the light are known, the angle θ at which the first dark fringe occurs can be calculated.

This condition arises due to the interference of the diffracted waves from the edges of the slit. When the path difference between these waves is equal to half a wavelength, the waves interfere destructively and produce a dark fringe.

The first dark fringe is observed at the angle θ for which the path difference between the waves passing through the edges of the slit is equal to λ/2.

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The equation of a line in standard form is Rx + Py = - RP

From the question, we have the following parameters that can be used in our computation:

x-intercept (−P, 0) and y-intercept (0, −R).

A linear equation is represented as

y = mx + c

Where

c = y when x = 0

In this case,

c = -R

So, we have

y = mx - R

Using the other point, we have

0 = -Pm - R

So, we have

-Pm = R

Evaluate

m = -R/P

So, we have

y = -R/Px - R

This gives

Py = -Rx - RP

Add Rx to both sides

Rx + Py = - RP

Hence, the equation is Rx + Py = - RP

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The margin of error is 2.695 for a sample size of 256 and a population variance of 484 at a 95% confidence level.



To find the margin of error, we need to use the formula:
Margin of error = z* (sigma / sqrt(n))
Where z* is the z-score corresponding to the desired confidence level, sigma is the population standard deviation, and n is the sample size.
In this case, we know that the population variance (sigma^2) is 484, which means the standard deviation (sigma) is sqrt(484) = 22.
The sample size (n) is 256.
The confidence level is 95%, which means the z-score is 1.96.
So, plugging these values into the formula, we get:
Margin of error = 1.96 * (22 / sqrt(256))
Simplifying, we get:
Margin of error = 1.96 * (22 / 16)
Margin of error = 2.695


Hence, we use the formula Margin of error = z* (sigma / sqrt(n)), where z* is the z-score corresponding to the desired confidence level, sigma is the population standard deviation, and n is the sample size. The margin of error is 2.695 for a sample size of 256 and a population variance of 484 at a 95% confidence level.

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There are two key pieces of information we will need to solve this problem: the area of the section of the circle and the area of the triangle.

First, let's find the area of the section/part of the circle. We can do this by only finding 1/4 (90/360) of the area of the given circle.

1/4 x pi x 6^2

1/4 x pi x 36

Area of 1/4 of circle = 9pi ft^2

Second, let's find the area of the triangle.

1/2 x 6 x 6

3 x 6

Area of triangle = 18 ft^2

Next, let's find the area of one shaded section by subtracting the area of the triangle from the area of the section.

9pi - 18

Finally, to find the area of both shaded sections we'll need to double the answer from the previous step.

2(9pi - 18)

18pi - 36 = 20.549 (rounded to 3 decimal places)

Answer: [ 18pi - 36 ft^2 ] or [ 20.549 ft^2 ]

Hope this helps!

Answer:

1) 44

2) 430

3) 17

Step-by-step explanation:

1) 4 × 4 = 16, and 4 + 4 = 8.

2) The units digit is 0. Since the hundreds digit is one more than the tens digit, and since the sum of the three digits is 7, the hundreds digit is 4, and the tens digit is 3.

3) 1 × 7 = 7, and 1 + 7 = 8. The units digit is 7, and the tens digit is 1.

According to the table, 18% of Mountain View residents polled supported Olunloyo.

In the given table, the percentage of Mountain View residents who supported Olunloyo can be found by looking at the value in the intersection of "Mountain View" row and "Olunloyo" column, which is 0.18 or 18%.

To understand how this value is calculated, keep in mind that the values in the table represent relative frequencies.

A relative frequency is the fraction or proportion of a group that belongs to a specific category or has a specific feature. In this case, the groups are Cherry Hill and Mountain View residents, and the categories are the candidates they support.

So, the percentage of Mountain View residents polled who supported Olunloyo can be calculated as:

(0.18/0.48) x 100% = 37.5%

Therefore, 18% of the residents from Mountain View supported Olunloyo, according to the given table.

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Your question seems incomplete, the probable complete question is:

A survey of two communities asked residents which candidate they supported for a local election. the survey data are shown in the relative frequency table. what percentage of mountain view residents polled supported olunloyo?

1 No, the table does not represent an exponential function.

2 The equation y = a² represents a parabolic function with a vertex at the origin (0,0).

1. An exponential function is a function of the form f(x) = a^x, where a is a constant greater than 0, and x is the input variable. In an exponential function, the output values (y) are the result of the input values (x) being raised to a constant power (a). In this case, the table does not represent an exponential function since there's no constant value.

However, in the given table, the values of y are not obtained by raising any constant to the power of x. Instead, the values of y are obtained by multiplying the previous value of y by a constant factor in each row. It's not a exponential Function.

2. The equation y = a² represents a parabolic function with a vertex at the origin (0,0). The equation y = a² is a quadratic function, and all quadratic functions are parabolic. This is the effect on the graph.

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The total surface area of the prism is 156 cm²

The area occupied by a three-dimensional object by its outer surface is called the surface area.

The surface area of prism is expressed as;

SA = 2B + ph

where p is the perimeter of the base

B is the base area

h is the height of the prism

Base area = 1/2 bh

h = √5²-4²

= √25-16

= √9 = 3

area = 1/2 × 4×3

= 6 cm²

Perimeter of the base = 3+4+5 = 12 cm

height = 12cm

SA = 2 × 6 + 12 × 12

= 12 + 144

= 156 cm²

therefore the surface area of the prism is 156 cm²

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The statements regarding the linear functions are classified as follows:

The slope-intercept representation of a linear function is given by the equation presented as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

Function f(x) is defined as follows:

f(x) = 2x - 5.

Hence:

For function g(x) we have than when x increases by 4, y decays by 26, hence the slope is given as follows:

m = -26/4

m = -6.5.

Hence:

y = -6.5x + b.

When x = 1, y = -4, hence the intercept b is given as follows:

b = -4 + 6.5.

b = 2.5.

Hence the function is:

g(x) = -6.5x + 2.5.

Then:

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The z score associated with four cups of coffee is -0.19.

To calculate the z score, we use the formula z = (x - μ) / σ,

where x is the value we want to find the z score for, μ is the mean, and σ is the standard deviation.

In this case, x = 4, μ = 4.76, and σ = 4.18. Plugging these values into the formula, we get:
z = (4 - 4.76) / 4.18
z = -0.19
Therefore, the z score associated with four cups of coffee is -0.19.

Hence,  The z-score of -0.182 represents how many standard deviations away 4 cups of coffee is from the mean number of daily cups of coffee for college student respondents in the survey.

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The number of water stations on the trail, obtained using arithmetic operations are 8 water stations.

Arithmetic operations includes addition subtraction, division, and multiplication.

The length of the trail = 30 - kilometers

The distance between which runners receive water = Every 4,000 meters and at the end of the trail

The number of water stations can therefore be found, using arithmetic operations as follows;

30 km = 30 × 1,000 m = 30,000 m

Number of stations = (30,000 m) ÷ 4,000 m + 1 = 8.5

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Answer:

4 and 5 or 3 and 6

Step-by-step explanation:

Bcz the answers are alternate angles and are in the interior

Answer:

B. ∠4 and ∠∠5

Step-by-step explanation:

Alternate interior angles lie inside the coplanar lines(in this case the lines b and c ) and they are on opposites sides of the transversal(which is line a ).

The only option that has both of these are ∠4 and ∠∠5

The value of the expression 5(3r - 10) means the product of 5 and the difference of three times r minus 10. If r= 4, the value of the expression is 10.

Mathematical expression is mathematical statement which involves variables, numerical values, mathematical operations, and exponent.

Given the expression in words "the product of 5 and the difference of three times r minus 10"

Three times of 'r' is = 3r

Difference between three times of r and 10 = 3r - 10

The product of 5 and difference between three times of r and 10 = 5(3r - 10)

So the expression is given by, f(r) = 5(3r - 10)

Also the given value of the variable is, r = 4.

Substituting the value in the expression we get,

f(4) = 5(3*4 - 10) = 5*(12 - 10) = 5*2 = 10

Hence the value of the expression when r = 4 is 10.

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This looks like a quadratic equation!

Let's first rewrite the equation in the standard form (where the coefficients of x2 and x, as well as the constant term all have absolute values greater than 0)

ax^2 + bx + c = 0

And then use the Quadratic Formula to solve for x.

x = (-b ± √[b^2 - 4ac])/2a

Where a, b, and c are the coefficients of x^2, x, and 1, respectively.

Now, we just need to substitute the constants and solve for x!

-8x^2 + 10x + 15 = 0

a = -8

b = 10

c = 15

x = (-10 ± √[100 - 4(-8)(-15)])/2(-8)

x = (-10 ± √[100 - 240])/-16

x = (-10 ± √-140)/-16

x_1 = -7/16

x_2 = -7/16

Since x must be a real number, we can disregard x_2 and therefore the value of x is -7/16.

So the value of x is -7/16!

If -7/16 isn't the answer you were looking for, then try it in decimal form.

Answer: Let's first rewrite the equation in the standard form (where the coefficients of x2 and x, as well as the constant term all have absolute values greater than 0)

ax^2 + bx + c = 0

And then use the Quadratic Formula to solve for x.

x = (-b ± √[b^2 - 4ac])/2a

Where a, b, and c are the coefficients of x^2, x, and 1, respectively.

Now, we just need to substitute the constants and solve for x!

-8x^2 + 10x + 15 = 0

a = -8

b = 10

c = 15

x = (-10 ± √[100 - 4(-8)(-15)])/2(-8)

x = (-10 ± √[100 - 240])/-16

x = (-10 ± √-140)/-16

x_1 = -7/16

x_2 = -7/16

Since x must be a real number, we can disregard x_2 and therefore the value of x is -7/16.

So the value of x is -7/16!

If -7/16 isn't the answer you were looking for, then try it in decimal form.

wich is -0.4375

Step-by-step explanation:

Answer:

B. the mean for brand A is higher than the mean for brand B.

Step-by-step explanation:

It's B, i know this because i did this comparing data sets exam and got a 100% on it.

Good Luck!

The expression for value of x is (23 sin55)/sin85

Hence, Option C is correct.

In the given figure,

Angle D = 85° and Angle F = 55°

length of DE = x and length of EF = 23

Apply sine rule

SinD/EF = SinF/ED

Put the given values shown in the figure,  

Sin85/23 = sin55/x

Hence,

⇒x = (23 sin55)/sin85

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Answer:

9 cm^2

Step-by-step explanation:

1/2x9x2

4.5x2

9

Hope this helps :)

Answer:

Step-by-step explanation:

We are given with a triangle whose Height is 2 cm and base is 9 cm.

We have to calculate the Area of triangle.

As we know that area of triangle is calculated by,

Area = ½ × base × height

Putting the required values we get,

Area = 1/2 × 2 × 9 (cancel 2 with 2)

Area = 9 cm².

Hence, The area of the triangle is 9 cm².

More Formulas related to area :

[tex]\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered} {\boxed{\begin{array}{c} \sf Rectangle = Length \times breadth \\ \\ \sf Square = {(Side)}^{2} \\ \\ \sf Trapezium = \dfrac{1}{2} (a+b) h \\ \\ \sf Triangle = \dfrac{1}{2} \times Base \times Height \\ \\ \sf Rhombus = \dfrac{1}{2} \times d_1 \times d_2 \\ \\ \sf Circle = \pi r^2 \\ \\ \sf Parallelogram = Base \times Height \\ \\ \sf Equilateral \: \triangle = \dfrac{ \sqrt{3} }{4} a^2 \\ \end{array}}}\end{gathered}\end{gathered}\end{gathered} \end{gathered}\end{gathered}\end{gathered}\end{gathered}\end{gathered} \end{gathered}\end{gathered}[/tex]

Where a number has three digits 6 8 and 1 to the nearest hundred the number rounds to 800 the number is 768.

In this case, the hundreds digit is 6, which means the number is between 600 and 699. The tens digit is 8, which is greater than 5, so we round up to the next hundred, which is 700. Therefore, the number is between 700 and 799.

We also know that when the number is rounded to the nearest hundred, it rounds to 800. This means the number is closer to 800 than to 700, and is at least 750. The ones digit is 1, which means the number is odd, and the sum of its digits is 6 + 8 + 1 = 15. This eliminates numbers that are multiples of 10 or have a sum of digits less than 15.

The only three-digit number that satisfies these conditions and rounds to 800 is 768. Therefore, the number is 768.

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Answer:

It is an obtuse triangle.

Step-by-step explanation:

To determine whether the triangle is right, acute, or obtuse, we can use the Pythagorean Theorem which states that in a right triangle, the sum of the squares of the two shorter sides is equal to the square of the longest side.

Let's first determine which side is the longest.

48 is the largest of the three sides, so we'll use it as the hypotenuse.

Now we can apply the Pythagorean Theorem:

a^2 + b^2 = c^2

where a and b are the shorter sides and c is the hypotenuse.

Plugging in the values, we get:

46^2 + 20^2 = 48^2

2116 + 400 = 2304

2516 = 2304

Since 2516 is greater than 2304, we can see that the triangle is obtuse.

Answer:

Step-by-step explanation:

deleted

Answer: .82n

Step-by-step explanation:

Add the numbers in front because they are all like terms.  1 + 1 - .18 = .82

It's like if you had 5x+2x  you can add the numbers in front to combine like terms =7x

So your answer is .82n

The new coordinates are A′(2, -2) B′(0, -4) C′(3, -6)

We are given that;

The graph

Now,

The original coordinates of ∆ABC are:

A(3, 4) B(5, 2) C(7, 5)

After applying the translation rule, we get:

A(3 - 1, 4 - 2) = A(2, 2) B(5 - 1, 2 - 2) = B(4, 0) C(7 - 1, 5 - 2) = C(6, 3)

Step 2: Apply the rotation rule to each translated vertex

To rotate a point 90° clockwise about the origin, we need to use this formula:

(x, y) → (y, -x)

we can rotate each translated vertex:

A(2, 2) → (2, -2) B(4, 0) → (0, -4) C(6, 3) → (3, -6)

Step 3: Write the new coordinates of each rotated vertex using prime notation

The prime notation indicates that these are the new coordinates after the transformation. We use A′ for the image of A, B′ for the image of B, and C′ for the image of C.

Therefore, by transformation the answer will be A′(2, -2) B′(0, -4) C′(3, -6).

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Answer:

(-mn + 10m + 5n)

Step-by-step explanation:

We have to subtract (15 mn- 22 m + 2n) from ( 14 mn - 12 m + 7n )

(14mn - 12m + 7n) - (15mn - 22 m + 2n)

When open the parenthesis before which a negative sign is given negative sign changes all signs of each term inside.

14mn - 12m + 7n - 15mn + 22m -2m

Now we add and subtract like terms.

(-15mn + 14mn) + (22m - 12m) + ( 7n - 2n )

(-mn + 10m + 5n)

So the answer is (-mn + 10m + 5n)

Answer:

-mn + 10m+5n

Explanation:

(14mn - 12m+7n)-(15mn 22m+2n)

Remove the parentheses for addition or subtraction

14mn-12m+7n-15mn +22m - 2n

Combine like terms

-mn + 10m+5n

The distance further that Jeremy drives more than Kia would be 100 kilometers .

The distance that Jeremy drives in cm from A to B is 5 cm. In kilometers, this would be:

= 5 x 200 per cm

= 1, 000 kilometers

The distance that Kia drove from B to C was 4.5 cm and in kilometers this is:

= 4.5 x 200

= 900 kilometers

The distance that Jeremy drove more was:

= 1, 000 - 900

= 100 kilometers

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Answer:

3n+10=3()+10

We move all terms to the left:

3n+10-(3()+10)=0

We add all the numbers together, and all the variables

3n=0

n=0/3

n=0

Step-by-step explanation:

The domain of the function f(x) is given as x ≥ -9/4

The domain and range of a relation are the sets of all the x-coordinates and all the y-coordinates of ordered pairs respectively.

The domain of a function is all value of x along the function.

To find the domain of f(x);

Let's write the expression in the square root to be ≥ 0

4x + 9 ≥ 0

Solve for x;

4x ≥ -9

Divide both sides by the coefficient of x;

4x/4 ≥ -9/4

x ≥ -9/4

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There are 56 possible outcomes that contain exactly 3 heads when a coin is flipped 8 times.

To find the number of possible outcomes that contain exactly 3 heads when a coin is flipped 8 times, we can use the formula for combinations.

The total number of possible outcomes when flipping a coin 8 times is 2^8 = 256 (since each flip can result in 2 outcomes: heads or tails).

To calculate the number of outcomes with exactly 3 heads, we need to choose 3 out of the 8 flips to be heads, and the remaining 5 flips to be tails. The number of ways to choose 3 items out of a set of 8 is given by the combination formula:

C(8,3) = 8! / (3! * 5!) = 56

Therefore, there are 56 possible outcomes that contain exactly 3 heads when a coin is flipped 8 times.

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The line shown below are parallel: B. False, because their slopes are different.

In Mathematics and Geometry, parallel lines can be defined as two (2) lines that are always the same (equal) distance apart and never meet.

In Mathematics and Geometry, two (2) lines are parallel under the following conditions:

m₁ = m₂

For the slope of the red line, we have:

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (8 - 4)/(4 + 2)

Slope (m) = 4/6

Slope (m) = 2/3.

For the slope of the green line, we have:

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (2 + 2)/(-1 + 8)

Slope (m) = 4/7

2/3 ≠ 4/7.

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The area of the figure is 9 square units.

We have,

Rectangle : l = 3 unit and w= 2 unit

Triangle: Height = 3 unit and Base= 2 unit

Now, Area of rectangle

= l w

= 3 x 2

= 6 square unit

and, area of Triangle

= 1/2 x b x h

= 1/2 x 2 x 3

3 square unit

Thus, the area of figure is

= 6 + 3

= 9 square unit

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The number of times dice land on a number greater than 3 is 25.

Given that, a fair, 6-sided die is rolled 50 times.

Here, the total number of outcomes = 6

Number of favorable outcomes = 3

Probability of getting a number greater than 3 = 3/6

= 1/2

Die is rolled 50 times.

So, 1/2 ×50

= 25

Therefore, the number of times dice land on a number greater than 3 is 25.

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