write the standard form of the equation that is perpendicular to y = 5x + 4 and goes through point (3, -2).

Answer:

Answer 2

Step-by-step explanation:

the number are being added together based on their position

Answer:

the second choice (under not ossible)

(0,7) , (7,8)

Y-intercept is at (0,7) and the slope is 1/7 so from the y intercept, go up 1 and over 7.

Answer:

a

Step-by-step explanation:

Answer:

(x, y) = (1, 4)

Step-by-step explanation:

Given:  x+y=5 and 2x-y=-2

Solve for y and x

x+y=5; solve for y

y = 5 - x; substitute into other equation

2x-y= -2

2x - (5 - x) = -2

2x - 5 + x = -2; combine x's

3x - 5 = -2; add 5 to both sides

3x =3; divide by 3

x = 1; use this to solve for y

x+y=5

1 + y = 5; subtract 1 from both sides

y = 4

(x, y) = (1, 4)

Answer:

≈ 7.8598

Step-by-step explanation:

Let's round pi to 3.14159. First, we multiply 3.14159 by 4.5, which is around 14.13716. Then, we divide 3.14159 by 0.5, which is around 6.28318. So, 14.13716 - 6.28318 = 7.8598

It can be inferred that there is a statistically significant result if the confidence interval excludes the value of zero effect.

Confidence Interval;

In statistics, confidence is another word for probability. For instance, if you create a confidence interval with a 95% confidence level, you can be sure that 95 times out of 100 the estimate will fall between the upper and lower values indicated by the confidence interval.

Therefore,

The confidence level is 95% if your significance level is 0.05. The hypothesis test is statistically significant if the P value is lower than your significance (alpha) level. The findings are statistically significant if the confidence interval excludes the null hypothesis value. 0

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If the speed and the charge of a particle moving across a magnetic field are each doubled, the deflecting force will be:

d. The deflecting force will be quadrupled.

The deflecting force experienced by a charged particle moving across a magnetic field is given by the equation F = qvBsinθ, where F is the deflecting force, q is the charge of the particle, v is its velocity, B is the magnetic field strength, and θ is the angle between the velocity vector and the magnetic field vector.

If both the speed (v) and charge (q) of the particle are doubled, the deflecting force (F) can be calculated by substituting the new values into the equation:

F' = (2q)(2v)Bsinθ = 4(qvBsinθ) = 4F

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Answer:

D) \(1 < x\leq 4\)

Step-by-step explanation:

1 is not included, but 4 is included, so we can say \(1 < x\leq 4\)

Answer: The material will cost Meghana $95.84 before taxes.

Step-by-step explanation:

a. To find the area of Meghana's kite, we first need to convert the dimensions from feet to yards since the material is sold per square yard:

Length = 18 ft = 6 yards (since 1 yard = 3 feet)

Width = 4 ft = 4/3 yards (since 1 yard = 3 feet)

The area of the kite is the product of its length and width:

Area = Length x Width = 6 x 4/3 = 8 square yards

b. Meghana needs enough material to cover both sides of her kite, so she needs twice the area of the kite:

Area of both sides = 2 x Area of one side = 2 x 8 = 16 square yards

Therefore, Meghana needs 16 square yards of nylon material.

c. The material is sold for $5.99 per square yard, so the total cost of the material before taxes is:

Total cost = Cost per square yard x Number of square yards

Total cost = $5.99 x 16 = $95.84

Therefore, the material will cost Meghana $95.84 before taxes.

Answer:

44

Step-by-step explanation:

60 × 5 or 300

or

52 × 5 or 260

24

50

× 100 or 0.48 × 100

or 48

348 implies

60 × 5 +

24

50

× 100 – 52 × 5

or

300 + 48 – 260 or 88

Answer:

Step-by-step explanation:

Ms Annand spent $33 at the store. She bought 6 new white boards and 3 packs of Expo markers. The white boards cost $2 less than a pack of expo marker.

Our calculation is given below;

How much money did she spend on the white boards? How much money did she spent on the Expo markers?

Answer:

Step-by-step explanation:

Assuming that the Skateboard is $180, and you are asking for the price when it is 30% off.

180 * .70 = $126

Another way of solving the question is finding 10 % of 180, which is 18. And you are looking for 30% less, so 18 * 3 = 54, which is 30% of 180.

180 - 54 = 126

Answer:

m<v= 60 degrees

m<x= 100 degrees

Step-by-step explanation:

1) First let's find the measure of angle v. Most of the time if none of the angles are known then it is impossible to find others. However, this specific triangle is an equilateral, which has special rules. We know this is an equilateral because all the sides have the same length. Equilaterals will always have angles with measures of 60 degrees. This is due to the fact that sides and angles are proportionate. Therefore, if all the sides are the same, then the angles must be as well and 180 divided by 3 is 60.

2) Then, we can find the next measurement. This triangle is isosceles. Isosceles triangles have 2 equal sides and angles. The triangle represented above has 2 congruent sides; therefore, the base triangles must also be congruent. So we know that angles Y and W are 40. To find angle X make the expression 180-(40+40). This means that angle x must be 100 degrees.  

The obtained limit is identical to the limit that was specified. Therefore, the right answer is option C.

Generally, the equation for the limit  is  mathematically given as

\($\lim _{n \rightarrow \infty} \sum_{i=1}^{n} \frac{4}{n} \sqrt{1+\frac{4 i}{n}}$.\)

The goal is to locate the zone whose area corresponds to the value supplied by the limit.

The definite integral of a function is what is used to compute the area of that function that is underneath its graph.

The limit,

\(\lim _{n \rightarrow \infty} \sum_{i=1}^{n} f(a+i \cdot \Delta x) \Delta x\)

where\($\Delta x=\frac{b-a}{n}$\) and \($x_{i}=a+i \Delta x$\) for the interval $[a, b]$, is equivalent to the integral

\(\int_{a}^{b} f(x) d x .\)

The given limit can also be written as

\(\lim _{n \rightarrow \infty} \sum_{i=1}^{n} \sqrt{1+\left(\frac{4}{n}\right)} i \cdot \frac{4}{n} .\)

In this limit, \($\Delta x=\frac{4}{n}$\). It can be observed that\($f(a+i \Delta x)=\sqrt{1+\left(\frac{4}{n}\right)} i$\) which implies that \($a=1$ and $f(x)=\sqrt{x}$.\)

Solve the \($\Delta x=\frac{b-a}{n}$\)equation for as follows:

\(\begin{aligned}\frac{4}{n} &=\frac{b-1}{n} \\4 &=b-1 \\5 &=b\end{aligned}\)

Therefore, the specified limit may be expressed as an integral as follows:

\(\lim _{n \rightarrow \infty} \sum_{i=1}^{n} \sqrt{1+\left(\frac{4}{n}\right) i} \cdot \frac{4}{n}=\int_{1}^{5} \sqrt{x} d x\)

Therefore, the limit that has been provided designates the area of the graph of "sqrt(x)" on the interval.[1,5]

However, none of the available choices are compatible with this choice. So, consider

\(a=0, f(x)=\sqrt{1+x}$ and $\Delta x=\frac{4}{n}$.\)

Find the value of $b$ as:

\($$\begin{aligned}\frac{4}{n} &=\frac{b-0}{n} \\4 &=b\end{aligned}$$\)

Find the value of x_{i} as:

\(\begin{aligned}&x_{i}=0+\frac{4}{n} i \\&x_{i}=\frac{4}{n} i\end{aligned}\)

$$

Thus, the integral \($\int_{0}^{4} \sqrt{1+x} d x$\) can be expressed using the equation \($\int_{a}^{b} f(x) d x=\lim _{n \rightarrow \infty} \sum_{i=1}^{n} f\left(x_{i}\right) \Delta x$\)

\(\begin{aligned}\int_{0}^{4} \sqrt{1+x} d x &=\lim _{n \rightarrow \infty} \sum_{i=1}^{n} \sqrt{1+\frac{4 i}{n} \frac{4}{n}} \\&=\lim _{n \rightarrow \infty} \sum_{i=1}^{n} \frac{4}{n} \sqrt{1+\frac{4 i}{n}}\end{aligned}\)

In conclusion, The obtained limit is identical to the limit that was specified. Therefore, the right answer is option C.

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CQ

The complete Question is attached below

The answer is True. Finding a parametric description of the solution set of a linear system is the same as solving the system.

Finding a parametric description of the solution set of a linear system is equivalent to solving the system. A parametric description of the solution set of a linear system is a way of representing all solutions to the system in terms of a set of parameters. Solving a linear system involves finding the specific values of the variables that satisfy the constraints specified by the system. By finding a parametric description of the solution set, we are effectively solving the system and finding all possible solutions. In this sense, finding a parametric description of the solution set and solving the system are equivalent.

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The exact values of the remaining trigonometric functions of θ are:

cos θ = 5/13

tan θ = 12/5

csc θ = 13/12

sec θ = 13/5

cot θ = 5/12

Given that sin θ = 12/13 and θ is in quadrant I, we can determine the values of the remaining trigonometric functions as follows:

cos θ:

In quadrant I, cos θ is positive. We can use the Pythagorean identity \(sin^2 θ + cos^2 θ = 1\) to find the value of cos θ:

\(cos^2 θ = 1 - sin^2 θcos^2 θ = 1 - (12/13)^2cos^2 θ = 1 - 144/169cos^2 θ = (169 - 144)/169cos^2 θ = 25/169\)

Since cos θ is positive in quadrant I, we take the positive square root:

cos θ = √(25/169)

cos θ = 5/13

tan θ:

tan θ is the ratio of sin θ to cos θ:

tan θ = sin θ / cos θ

tan θ = (12/13) / (5/13)

tan θ = 12/5

csc θ:

csc θ is the reciprocal of sin θ:

csc θ = 1 / sin θ

csc θ = 1 / (12/13)

csc θ = 13/12

sec θ:

sec θ is the reciprocal of cos θ:

sec θ = 1 / cos θ

sec θ = 1 / (5/13)

sec θ = 13/5

cot θ:

cot θ is the reciprocal of tan θ:

cot θ = 1 / tan θ

cot θ = 1 / (12/5)

cot θ = 5/12

Therefore, the exact values of the remaining trigonometric functions of θ are:

cos θ = 5/13

tan θ = 12/5

csc θ = 13/12

sec θ = 13/5

cot θ = 5/12

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In this experiment, the dependent variable would be the amount of fruit production by tomato plants.

The dependent variable is the variable that is measured or observed in an experiment. It is the outcome or response that is influenced by the independent variable, which is the variable that is manipulated or controlled by the researcher. In this case, the independent variable would be the brand of fertilizer.

By testing different brands of fertilizer and measuring the resulting fruit production, the researcher can determine the impact of each brand on the tomato plants' yield. The dependent variable, which is the amount of fruit production, will vary based on the different levels or variations of the independent variable (i.e., different brands of fertilizer).

By analyzing the data collected on fruit production for each brand of fertilizer, the researcher can identify which brand yields the greatest amount of fruit. This information can be used to make informed decisions on the most effective fertilizer brand for maximizing tomato plant productivity.

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John must score 286 on his 8th game to achieve an average score of 215.

What is an Average?

Average, also known as the mean, is a mathematical concept that represents the central value of a set of numbers. It is found by dividing the sum of the numbers by the total count of the numbers.

To find out what John must score on his 8th game to achieve an average score of 215, we need to use the formula for calculating the average or mean:

Average = (Sum of Scores) / (Number of Scores)

We can use this formula to solve for the unknown score:

215 = (159 + 182 + 225 + 240 + 198 + 200 + 230 + x) / 8

Multiplying both sides by 8, we get:

1720 = 159 + 182 + 225 + 240 + 198 + 200 + 230 + x

Simplifying, we get:

1720 = 1434 + x

Subtracting 1434 from both sides, we get:

x = 286

Therefore, John must score 286 on his 8th game to achieve an average score of 215.

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The equation of a line y=2x+8.

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = intercept

Slope, m =change in the value of y on the vertical axis/change in the value of x on the horizontal axis

Looking at the given line,

y = 2x + 7

Compared with the slope-intercept equation,

Slope, m = 2

If a line is parallel to another line, it means that both lines have equal or the same slope. This means that the slope of the line passing through the point (-2, 4) is 2

Substituting m= 2, y = 4 and x = -2 into the equation, y = mx + c , it becomes

4 = 2 × - 2 + c

4 = - 4 + c

c = 4 + 4 = 8

The equation becomes y=2x+8.

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Answer:

one number x= 16

other number y = 4

Step-by-step explanation:

Lets say two number x and y

x + y = 20

3x - 2y = 40

solve for x first

first equation you get

y = 20 - x

now plug into second equation

3x - 2(20 - x) = 40

3x - 40 + 2x = 40; add x's and add 40 to both sides

5x = 80; divide by 5

x = 16; now plug this into the first equation

x + y = 20

16 + y = 20; subtract 16 to both sides

y = 4

now check into original equations

x + y = 20 ; 16 + 4 = 20; true

3x - 2y = 40; 3(16) - 2(4) = 40 ; 40 - 8 = 40; true

Answer:

115

Step-by-step explanation:

<vur and <qru are corresponding angles

so they will both have the same angle even though they are not on the same line

Answer:

(9/4,3/4) or (2.25, 0.75)

Step-by-step explanation:

The dilation is 1/4. We can tell this by looking at (8,12) and (2,3). 8*1/4=2 and 12*1/4=3. So therefore we just need to times 9 and 3 by 1/4. 9*1/4=2.25 or 9/4 and 3*1/4=0.75 or 3/4. so the dilation (9/4, 3/4). I believe this is correct but if I am not please tell me.

Answer:

Acute angle.

Right angle.

Obtuse angle.

Straight angle.

Reflex angle

Step-by-step explanation:

Answer:

no picture

Step-by-step explanation:

:)

Step-by-step explanation:

3x-6+x+90°=180°

4x+84=180

4x=96°

x=96/4

x=24°

The number of rabbits that must be sold if they want to be fed for 15 more days is 150 rabbits.

In a farm, there is food to feed 300 rabbits for 60 days.

Let x be the number of rabbits that must be sold if they want to be fed for 15 more days.

From the given data, we have the following equation:

300 * 60 = (300 - x) * 75

The equation represents the amount of food for 300 rabbits that can last 60 days is equal to the amount of food for 300 - x rabbits that can last 75 days.

Solving for x, we get:

x = 150 rabbits

Hence, the number of rabbits that must be sold if they want to be fed for 15 more days is 150 rabbits.

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The given decimal 0.69789978997899789 is irrational since 7899 is repeating.

Any real number that cannot be written as the quotient of two integers, p/q, where p and q are both integers, is referred to as an irrational number.

In another word, irrational numbers are those numbers that can not terminate.

For example, √2, and √3 are irrational numbers because they cannot be written as p/q where p and q both should be integers.

Given the decimal

0.69789978997899789

Now if we see then 7899 is repeating it means it will going to repeat and it ends so it is not apple to write in form of p/q so it will be an irrational number.

Hence "The given decimal 0.69789978997899789 is irrational since 7899 is repeating".

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Answer:

it's c

Step-by-step explanation:

Answer:it’s D trust me

Step-by-step explanation:

Answer: t = 5

Step-by-step explanation: step one cross multiply 4/t = 2/2.5

(4) *  (2.5) = 2 * t  so 10 = 2t / step two flip the equation 2t = 10

step three divide both sides by two 2t/2 = 10/2 t = 5