Solve for y.
Answer choices-
A. 115
B. 108
C. 90
D. 130

Answer:

Solution given

Cos\(\displaystyle \theta_{1}=\frac{3}{5}\)

consider Pythagorean theorem

\(\bold{Sin²\theta+Cos²\theta=1}\)

Subtracting \(Cos²\theta\)both side

\(\displaystyle Sin²\theta=1-Cos²\theta\)

doing square root on both side we get

\(Sin\theta=\sqrt{1-Cos²\theta}\)

Similarly

\(Sin\theta_{1}=\sqrt{1-Cos²\theta_{1}}\)

Substituting value of \(Cos\theta_{1}\)

we get

\(Sin\theta_{1}=\sqrt{1-(\frac{3}{5})²}\)

\(Sin\theta_{1}=\sqrt{1-(\frac{9}{25})}\)

\(Sin\theta_{1}=\sqrt{\frac{16}{225}}\)

\(Sin\theta_{1}=\frac{\sqrt{2*2*2*2}}{\sqrt{5*5}}\)

\(Sin\theta_{1}=\frac{4}{5}\)

Since

In IVquadrant sin angle is negative

\(\bold{Sin\theta_{1}=-\frac{4}{5}}\)

Answer:

\(\sin(\theta_1)=-\frac{4}{5}\)

Step-by-step explanation:

We'll use the Pythagorean Identity \(\cos^2(\theta)+\sin^2(\theta)=1\) to solve this problem.

Subtract \(\cos^2(\theta)\) from both sides to isolate \(\sin^2(\theta)\):

\(\sin^2(\theta)=1-\cos^2(\theta)\)

Substitute \(\cos(\theta)=\frac{3}{5}\) as given in the problem:

\(\sin^2(\theta_1)=1-(\frac{3}{5}^2)\)

Simplify:

\(\sin^2\theta_1=1-\frac{9}{25}\)

Combine like terms:

\(\sin^2\theta_1=\frac{16}{25}\)

For \(a^2=b\), we have two solutions \(a=\pm \sqrt{b}\):

\(\sin\theta_1=\pm \sqrt{\frac{16}{25}},\\\begin{cases}\sin \theta_1=\frac{4}{5},\\\sin \theta_1=\boxed{-\frac{4}{5}}\end{cases}\)

Since the sine of all angles in quadrant four return a negative output, \(\frac{4}{5}\) is extraneous and our answer is \(\boxed{\sin(\theta_1)=-\frac{4}{5}}\)

Answer:

500 miles

Step-by-step explanation:

If in one hour you travel 125 miles then in 4 hours you would travel 125 multiplied by 4 which would give you 500.

Answer:

faut-il faire les ponits avec le pallergrom de (−2 ; 3), (6 ; 2) (−1 ; 0) ?

Step-by-step explanation:

The distance from the point (4, 9, 3) to the plane \(8y + 6z = 0\) is 9 units.To find the distance from a point to a plane, we can use the formula:

\[ \text{Distance} = \frac{{|Ax + By + Cz + D|}}{{\sqrt{{A^2 + B^2 + C^2}}}} \]

Given the point \((4, 9, 3)\) and the plane equation \(8y + 6z = 0\), we can rewrite the equation in the form \(Ax + By + Cz + D = 0\) as:

\[ 0x + 8y + 6z + 0 = 0 \]

Comparing the coefficients, we have \(A = 0\), \(B = 8\), \(C = 6\), and \(D = 0\).

Substituting these values into the formula, we get:

\[ \text{Distance} = \frac{{|0(4) + 8(9) + 6(3) + 0|}}{{\sqrt{{0^2 + 8^2 + 6^2}}}} \]

Simplifying further:

\[ \text{Distance} = \frac{{|72 + 18|}}{{\sqrt{{64 + 36}}}} \]

\[ \text{Distance} = \frac{{90}}{{\sqrt{{100}}}} \]

\[ \text{Distance} = \frac{{90}}{{10}} \]

\[ \text{Distance} = 9 \]

Therefore, the distance from the point (4, 9, 3) to the plane \(8y + 6z = 0\) is 9 units.

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In 1st part expression there is a subtraction of 75% of 0.75d from orignal price and  in 2nd expression the discount of 75% of the orignal price.

In mathematics, an expression is a combination of symbols, numbers, and operators (such as +, −, ×, ÷, etc.) that represent a quantity or a mathematical operation.

Expressions can be simple or complex, and they can involve variables, constants, and functions. Expressions can be evaluated or simplified to obtain a numerical or symbolic result.

d: This represents the original price of the video game in dollars.

0.75d: This represents the price of the video game after the 75% discount has been applied. It is equivalent to subtracting 75% of the original price (0.75 times d) from the original price (d).

0.25d: This represents the amount of the original price that is discounted by 75%. It is equivalent to subtracting the sale price (d - 0.75d) from the original price (d), since the discount is 75% or 0.75 of the original price (d).

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Answer:

1/132

Step-by-step explanation:

Each of the pencils has a different color.

1 pencil is orange.

1 pencil is green.

Original number of pencils: 12

First pick: 1 orange pencil out of 12

p(orange) = 1/12

Second pick: 1 green pencil out of 11

p(green) = 1/11

Overall probability:

p(orange then green) = 1/12 × 1/11 = 1/132

Answer:

when a is negative, the parabola opens downward

Step-by-step explanation:

Answer:

D....brainliest please!!!!

Step-by-step explanation:

A function is when none of the coordinates have the same x axis so in this case it is D!

The answer is

D) (3,4)(-2,2)(6,1)(-8,2)

reason why it is because all the othe answers have X repeated which make them not functions.

The distance KJ needs to be equal to the distance LM and KL need to be parallel to JM

distances

then we need to calculate the slope of LK and JM if they are equal we have parallel sides

for LK

for JM

This figure is a trapezoid because it has exactly one pair of parallel sides that can prove because the slopes of LK and JM are congruent, but the distances KJ and LM are not equal therefore it is not an isosceles trapezoid

Once we have identified the lines, we can write inequalities that describe the region that is shaded.

To write a system of linear inequalities for a given graph, we need to identify the lines that make up the boundary of the shaded region on the graph.

These lines will be in the form of y = mx + b, where m is the slope of the line and b is the y-intercept. Once we have identified the lines, we can write inequalities that describe the region that is shaded.

For example, suppose we have a graph with a shaded region that is bounded by the lines y = -x + 3, y = x - 1, and y = 0. To write a system of linear inequalities for this graph, we would write:

y ≥ -x + 3

y ≥ x - 1

y ≤ 0

The first two inequalities describe the region above the lines y = -x + 3 and y = x - 1, and the third inequality describes the region below the x-axis. Together, these inequalities describe the shaded region on the graph.

In summary, to write a system of linear inequalities for a given graph, we need to identify the lines that make up the boundary of the shaded region, and write inequalities that describe the region that is shaded.

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The probability of selecting at least one defective item at random is 0.3017.

The probability of an event occurring at least once will be calculated as the complement of the probability of the event never occurring. You can use exponents to multiply the number of events that occurred when calculating this amount.

Defect rate = P(defect) = 0.05

Probability is defined as the required outcome divided by the total number of possible outcomes.

P( at least 1 is defective) = 1 - P(none is defective)

P(not defective) = 1 - P(defective) = 1 - 0.05 = 0.95

P(none is defective) = P(non defective)^7

P(none defective) = 0.95× 0.95 × 0.95 × 0.95 × 0.95× 0.95× 0.95=0.6983

P(at least one is defective) = 1 - 0.6983 = 0.3017

Therefore, probability of at least one defective item is 0.3017.

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Answer:

Step-by-step explanation:

The loop will run an infinite number of times

Formula for the Slope: (y2 - y1) / (x2 - x1)

You can use any two points to find the slope, as long as those two points are on the line.

Point 1 = (-2, 8)

Point 2 = (0, 0)

Slope = (0 - 8) / (0 - - 2)

Slope = -8 / 2

Slope = -4

Hope this helps!

Answer:

-4

Step-by-step explanation:

The formula to find the slope is (change in y)/(change in x). In other words, rise over run.

If we look at the data, we can see that the x and y value changes.

x value: -3 --> -2 --> -1 --> 0 --> 1

y value: 12 --> 8 --> 4 --> 0 --> -4

When y changed from 12 to 8, the x changed from -3 to -2.

y: 12 --> 8

x: -3 --> -2

There was a difference of -4 in the y and a difference of 1 in the x.

At the top, I wrote that the slope was (change in y)/(change in x)

With -4 and 1 we found, we can say that the slope is -4/1.

If we simplify this answer, we end up with -4.

So -4 is the slope of the data.

Answer:

0.142857...

Step-by-step explanation:

Answer:

712

Step-by-step explanation:

400+6.5%of 4800

312+400=712

Henry could only see one line since both lines had the same slope, which means that the graphs of both equations will be identical and hence overlap.

Linear equations in a system 3x + 2y = 4, and 9x + 6y = 12

We must demonstrate why Henry could only make out one line when he plotted the equations 3x-2y=4 and 9x-6y=12 on a graph.

Take the provided linear equation system into consideration.

3x - 2y = 4 ................(1)

9x - 6y = 12 ..................(2)

Due to the fact that equation (2) is a multiple of equation (1), 3 (3x - 2y = 4) = 9x - 6y = 12

The slopes of the provided equations are also same.

Difference with regard to x for equation (1) yields,

additional to equation (2),

With regard to x, we can differentiate to get,

The graphs of both equations will overlap since both lines have the same slope and hence have the same appearance on the graph.

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Answer:

x = 4

Step-by-step explanation:

15x + 8x -2 = 90

23x - 2 = 90

23x = 90+2

23x = 92

92/23 = 4

check answer:

4 x 15 = 60

4 x 8 = 32

32-2=30

60+30=90

Answer:x=4

Step-by-step explanation: we know,

90 + 8x-2+15x=180

90+23x-2=180

88+23x=180

23x=180-88

x=92/23

x=4

The given indefinite integral using substitution is found as; ∫ (24x+16)(6x²+8x-8)³ dx = (1/2)(1/4)(6x²+8x-8)⁴+C.

In order to evaluate the given indefinite integral using substitution, we should use the technique of u-substitution.

This is because the integral has an inner function and an outer function which makes it more complicated.

The steps involved in evaluating the indefinite integral are as follows:

Step 1: Find u and du

Let u be the inner function

u=6x²+8x-8

which implies

du/dx=12x+8.

We can rearrange this to obtain the differential

dx=(1/(12x+8))du.

Step 2: Express the integral in terms of u

Now we substitute the expression of u and dx in the given integral and obtain the following:

∫ (24x+16)(6x²+8x-8)³ dx

= ∫(2(6x²+8x-8)) (6x²+8x-8)³ dx

= 2 ∫u³du/(12x+8)

Step 3: Integrate using the power rule of integration

The integral of u³ is

(1/4)u⁴.

We can substitute the value of u to obtain the indefinite integral. Hence,

∫ (24x+16)(6x²+8x-8)³ dx

= (1/2) ∫u³du/(6x+4)

= (1/2)(1/4)(6x²+8x-8)⁴+C

Where C is the constant of integration.

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Answer:

D. Pyramid

Step-by-step explanation:

A. cone does not have any triangular faces

B. does not have any triangular faces either

C. Prism may have triangular faces if it is a triangular prism but they do not meet at a vertex

Therefore it must be D.

A pyramid is a solid has a base that is a polygon and triangular faces that meet at a vertex.

A pyramid is a three-dimensional shape. A pyramid has a polygonal base and flat triangular faces, which join at a common point called the apex. A pyramid is formed by connecting the bases to an apex.

Pyramids :-

A pyramid is defined as a three-dimensional structure encompassing a polygon as its base. The Great Pyramid of Giza, which is structured in the same concept. Every corner of this structure is linked to a single apex which makes it appear as a distinct shape.

A pyramid is a three-dimensional shape. A pyramid has a polygonal base and flat triangular faces, which join at a common point called the apex. A pyramid is formed by connecting the bases to an apex. Each edge of the base is connected to the apex, and forms the triangular face, called the lateral face. If a pyramid has an n-sided base, then it has n+1 faces, n+1 vertices, and 2n edges.

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The number of ways is 1 billion.

We are asked to determine the possible number of ways of the social security number that is 9 digits if the numbers can be repeated.

In this case, using fundamental counting, there are 10 possible numbers in each digit that is from zero to nine.

Thus, the number of ways is 10*10*10*10*10*10*10*10*10 equal to 1 billion ways.

Hence the number of ways is 1 billion.

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Answer:

Option A, 168 km³

Step-by-step explanation:

Volume of the rectangular prism,

7×4×6

= 168

According to the given statement the truth value of the compound statement p ∧ ∼ r is false.

To write a compound statement for the conjunction or disjunction using the statements p, q, and r, we can use the logical connective "and" (∧) to join p and ∼ r. .

The compound statement can be written as p ∧ ∼ r.

To find the truth value of the compound statement, we need to evaluate the truth values of p and ∼ r.

Statement p:

A plane contains at least three noncollinear points.

This statement is true because a plane can contain more than three noncollinear points.

Statement r:

The sum of the measures of two complementary angles is 180.

This statement is true because complementary angles are defined as two angles that add up to 180 degrees.

∼ r means the negation of statement r, which is false.

Now, let's evaluate the truth value of the compound statement p ∧ ∼ r:

p is true and ∼ r is false.

When we have a conjunction (using the logical connective "and"), the compound statement is true only if both individual statements are true.

Since p is true and ∼ r is false, the compound statement p ∧ ∼ r is false.
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The truth value of p ∧ ∼ r depends on the specific truth values of p and r. It is important to note that without the truth values assigned to p and r, we cannot determine the truth value of the compound statement p ∧ ∼ r.

To write a compound statement for the conjunction or disjunction, we need to combine the given statements using logical operators. The conjunction operator (∧) represents "and," while the disjunction operator (∨) represents "or."

Given statements:
p: A plane contains at least three noncollinear points.
q: A square yard is equivalent to three square feet.
r: The sum of the measures of two complementary angles is 180.

To write the compound statement for the conjunction (∧), we combine p and the negation (∼) of r: p ∧ ∼ r. This statement means "A plane contains at least three noncollinear points and the sum of the measures of two complementary angles is not 180."

To find the truth value of p ∧ ∼ r, we evaluate the individual truth values of p and ∼ r. If both p and ∼ r are true, the compound statement is true; otherwise, it is false.

Example:
If p is true (a plane contains at least three noncollinear points) and ∼ r is true (the sum of the measures of two complementary angles is not 180), then p ∧ ∼ r is true.

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Answer:

triangle B

Step-by-step explanation:

...............

Answer:

3b/2 + 3

Step-by-step explanation:

The formula to calculate perimeter of rectangle is 2l + 2w

The length is half the width so length is 1/2 (b/2 +1), which when simplified is b/4 + 1/2

Using the formula to calculate perimeter you can substitute and calculate

p= 2l + 2w

p= 2(b/4 + 1/2) + 2(b/2 + 1)

p= 2b/4 +2/2 + 2b/2 +2

p= 1/2b + 1 + b + 2

p= 3/2b + 3

Simplified it's 3b/2 +3

Answer: 9/2

Step-by-step explanation:

Corresponding sides of similar triangles are proportional, so:

\(\frac{x}{6}=\frac{3}{4}\\\\x=\frac{18}{4}=\boxed{\frac{9}{2}}\)

Answer:

• The total amount paid per week:

\( = { \tt{320 + 75}} \\ = { \underline{ \tt{ \: \: 395 \: dollars \: \: }}}\)

• comparison:

\({ \tt{395 \: dollars = 1 \: week}} \\ { \tt{2635 \: dollars = ( \frac{2635}{395}) \: weeks }} \\ \\ = { \tt{7 \: weeks}}\)

Answer:      The answer would be 3 weeks

Step-by-step explanation:

So what i did to find this answer is first multiplying 75 by 7 for each day of the week which is 525. Then I multiplied 320 the each week into i got to the third week where week three the total cost is 960. I then multiply 525 by 3 for the week which gives us 1575. I add 960+1575 which comes out the total we are looking for 2635. Have a great day my friends.  

An interval variable is one that has numerical values and still makes sense when you average the data values. This type of variable is used in statistics and data analysis to measure continuous data, such as temperature, time, or weight.

Interval variables are based on a scale that has equal distances between each value, meaning that the difference between any two values is consistent throughout the scale.

Interval variables can be used to create meaningful averages or means. The arithmetic mean is a common method used to calculate the average of interval variables. For example, if a researcher is studying the temperature of a city over a month, they can use interval variables to represent the temperature readings. By averaging the temperature readings, the researcher can calculate the mean temperature for the month.

In summary, interval variables are essential in statistics and data analysis because they can be used to measure continuous data and create meaningful averages. They are based on a scale with equal distances between each value and are commonly used in research studies.

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Answer:

let the number be x

then, 3x + 7= 25

3x=18

x=6 so number is 6 and ewiation is 3x+7=25

Answer:

The number is 6

Step-by-step explanation:

Let x be the number

3x+7 = 25

Subtract 7 from each side

3x+7-7= 25-7

3x = 18

Divide by 3

3x/3 =18/3

x=6

If the cost of advertising was $100,000 and the reach or circulation was 10,000,000 people, then the CPM is $10.

Cost per thousand (CPM), which is also called cost per mille, is a marketing word used to denote the price of 1,000 advertisement prints on one web page. If a publisher of a website charges $2.00 CPM, that means an advertiser must pay $2.00 for every 1,000 prints of its ad.

The CPM is calculated by dividing the cost of the advertisement by the number of people reached and then multiplying by 1000.

Given that the cost of advertising was $100,000 and the reach was 10,000,000 people, the CPM can be calculated as follows:

CPM = ($100,000 / 10,000,000) × 1000 = $10.

So, the CPM is $10.

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