35x+10y help like rn pls

the point of intersection between the given plane and the line perpendicular to the plane and passing through the point (4, 5, 9) is (4, 5, 9).

To find the point of intersection between the given plane and the line that is perpendicular to the plane and passes through the point (4, 5, 9), we need to determine the equations for both the plane and the line.

Let's assume the equation of the plane is of the form Ax + By + Cz + D = 0, where A, B, C, and D are constants.

Given that the plane is perpendicular to the line passing through the point (4, 5, 9), we know that the direction vector of the line is orthogonal to the normal vector of the plane.

To find the normal vector of the plane, we can consider the coefficients A, B, and C in the plane's equation. Since the coefficients represent the direction ratios of the normal vector, we have the normal vector N = (A, B, C).

Next, we can use the dot product to find the scalar product between the normal vector of the plane and the direction vector of the line. For the dot product to be zero, the vectors must be orthogonal:

N · (x - 4, y - 5, z - 9) = 0

Expanding this equation, we get:

A(x - 4) + B(y - 5) + C(z - 9) = 0

Now, let's substitute the coefficients of the normal vector for A, B, and C:

Ax - 4A + By - 5B + Cz - 9C = 0

Rearranging terms, we have:

Ax + By + Cz = 4A + 5B + 9C        (Equation 1)

This equation represents the plane that is perpendicular to the line passing through (4, 5, 9).

To find the equation of the line passing through the point (4, 5, 9), we can use the parametric form of a line:

x = x₀ + at

y = y₀ + bt

z = z₀ + ct

Since the line is perpendicular to the plane, the direction vector of the line is parallel to the normal vector of the plane. Therefore, the direction vector of the line is given by the coefficients of A, B, and C in Equation 1:

Direction vector of the line = (A, B, C)

Let's assume a parameter t, and substitute the values x₀ = 4, y₀ = 5, z₀ = 9 into the equations:

x = 4 + At

y = 5 + Bt

z = 9 + Ct

Now, we have both the equation of the plane (Equation 1) and the parametric equation of the line.

To find the point of intersection, we can substitute the parametric equations of x, y, and z into Equation 1:

A(4 + At) + B(5 + Bt) + C(9 + Ct) = 4A + 5B + 9C

Expanding and collecting terms, we have:

4A + AtA + 5B + BtB + 9C + CtC = 4A + 5B + 9C

Simplifying, we get:

AtA + BtB + CtC = 0

Since this equation represents the sum of squares, it can only be true if each term is zero:

AtA = 0

BtB = 0

CtC = 0

Solving these equations, we find t = 0.

Now, substituting t = 0 into the parametric equations, we have:

x = 4 + 0 = 4

y = 5 + 0 = 5

z = 9 + 0 = 9

Therefore, the point of intersection between the given plane and the line perpendicular to the plane and passing through the point (4, 5, 9) is (4, 5, 9).

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Answer:

$11.19

Step-by-step explanation:

15.98•0.70=11.19

Answer:

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Step-by-step explanation: 3pooopppppp391ti194i19iq09r4it0941it09134t901i4t943it09431ti934it9134t91i3t90349it9130ti1093it109ti190ti0910i9ti90i9103ti9i91349ti9139i04t09i34ti9130ti109ti0914ti1903ti9304ti094t130ti1043it10i0i41i(3+4=7)d

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The approximate area covered by the cell tower without any devices is 2,827.4 square miles.

The area of a circle with a radius of 30 miles is calculated using the formula A = πr^2, where A is the area and r is the radius. Substituting in the values, we get A = 3.14 x 30^2 = 2,827.4 square miles.

However, one-quarter of this area has a device, which means that the actual area covered by the cell tower without any devices is 75% of 2,827.4, or approximately 2,120.55 square miles. We round this value to the nearest tenth, which gives us the answer of 2,120.6 square miles.

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Answer:

60°

Step-by-step explanation:

Dilation doesn’t change angle degree, so that’s irrelevant.

M<T=180-20-100=60°

M<T corresponds to the M<W

Answer:

-16.22

^THERE IS YOUR ANSWER^

Answer:

-16.22

Step-by-step explanation:  

I am sorry if this is wrong

Step-by-step explanation:

what is 8 2 1 4 is it the number u should pick for answer choice

Answer:

1

Step-by-step explanation:

I had the same question

Answer:

y ≈ 5.2

Step-by-step explanation:

∠ F = 180° - (42 + 48)° ← sum of angles in a triangle

∠ F = 180° - 90° = 90°

Thus Δ DEF is right at F

Using the sine ratio in the right triangle

sin48° = \(\frac{opposite}{hypotenuse}\) = \(\frac{DF}{DE}\) = \(\frac{y}{7}\) ( multiply both sides by 7 )

7 × sin48° = y , then

y ≈ 5.2 ( to the nearest tenth )

Answer:

25x + 15y =18

Step-by-step explanation:

that is the answer cause x goes with shirts and y with mug and lastly 80 is the total

The forest fire is located at a distance of approximately 138.64 miles away from the western station when the two ranger stations are on an east-west line 235 miles apart.

To find the distance of the fire from the western station, we can use trigonometry and the given bearings. Let's denote the distance between the fire and the western station as x. We can form a triangle with the western station, the fire, and the eastern station.

Using the bearing N 38° E from the western station and N 17° E from the eastern station, we can determine the angles in the triangle. The angle between the fire and the line connecting the two ranger stations is 180° - (38° + 17°) = 125°. Using the Law of Sines, we can set up the equation sin(125°) / 235 = sin(38°) / x. Solving for x, we find that the fire is approximately 138.64 miles away from the western station.

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Answer:

y=-2x+5

Step-by-step explanation:

x-2y=2

2y=x-2

y=(x-2)/2

so the slope is 1/2

for lines to be perpendicular m1m2=-1 so the line must have a slope satisfying the condition

(1/2)m=-1

m=-2

the only line with a slope of -2

If is wrong i'm sorry

The equivalent expression of -6(b + 2) + 8 is -6b - 4

The expression is given as

-6(b + 2) + 8

Expand

-6b - 12 + 8

Evaluate the like terms

-6b - 4

Hence, the equivalent expression of -6(b + 2) + 8 is -6b - 4

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1) Trigonometric ratios for similar triangles state that the ratios of corresponding sides of similar triangles are equal. 2) The sine and cosine of complementary angles have the property of being not only equal but also complementary to one another. 3) trigonometric ratios can be used to solve for a missing side or angle of a right triangle.

1. Trigonometric ratios for similar triangles state that the ratios of corresponding sides of similar triangles are equal. Therefore, the ratios of the sine, cosine, and tangent of the corresponding angles in similar triangles will also be equal.

2. The sine and cosine of complementary angles have the property of being not only equal but also complementary to one another. This means that the sine of an angle is equal to its complement's cosine, and vice versa.

3. Using the appropriate formula based on the given information, trigonometric ratios can be used to solve for a missing side or angle of a right triangle.

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Answer:

Example 1:

Given that y varies proportionally with x , with a constant of proportionality k=1/3 , find y when x=12 .

Write the equation of the proportional relationship.

The variable x varies proportionally with y with a constant of proportionality equal to 1/3

So, y=1/3x

Substitute the given x value.

y=1/3×12

y=4

Step-by-step explanation:

hope it helps

Suppose lnx - lny = y-4 and y is a differentiable function of x. The value of dy/dx when x=4 is 1/4.

To find the value of dy/dx, we can use the given equation and the ln formula to differentiate both sides with respect to x. This will give us:

lnx-lny = y-4

d/dx(lnx-lny) = d/dx(y-4)

1/x-1/y (dy/dx) = dy/dx

(1/x-1/y) dy/dx = 0

dy/dx=(1/x)/(1/y)

dy/dx=y/x

Since we are given that y=4 when x=4, we can substitute these values into the equation to find the value of dy/dx when x=4:

dy/dx=4/4

dy/dx=1/4

Therefore, the value of dy/dx when x=4 is 1/4.

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The statement that is true about the rental company’s charges is A. The deposit fee is $ 25 and the rental fee per day is $ 45.

The total cost function is given as C = 45d + 25. This means that the slope is 45 and the y - intercept is 25.

This also means that the rental per day is $ 45 because the slope is the amount that the total cost changes by per day which must be the daily rental cost.

The $ 25 would be the cost that a person pays as a down payment when they rent the car because this amount does not change.

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Options for this question include:

A. The deposit fee is $ 25 and the rental fee per day is $ 45.

B. The deposit fee is $ 45 and the rental fee per day is $ 25.

C. The car can be rented for $ 45 and then given back to the company at $ 25

A The Answer

Step-by-step explanation:

Answer: a³+5a+9

Step-by-step explanation:

Jesse would need a simple interest rate of 20.09% so that $ 65,000 grows into $ 300,000 in 18 years. In turn, if the interest was compounded yearly, the account would earn $ 47,572.90 in three years.

Given that Jesse estimates that it will cost $ 300,000 to send his newborn son to a private college in 18 years, and he currently has $ 65,000 to deposit in an account, to determine what simple interest rate would he need so that $ 65,000 grows into $ 300,000 in 18 years, and how much would the account earn in three years if the interest was compounded yearly, the following calculations must be performed:

Therefore, he would need a simple interest rate of 20.09% so that $ 65,000 grows into $ 300,000 in 18 years.

Therefore, if the interest was compounded yearly, the account would earn $ 47,572.90 in three years.

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To determine if the bolts vary by more than the required variance, we can conduct a hypothesis test. The null hypothesis (H₀) states that the variance of the bolts is equal to or less than the required variance (σ² ≤ 0.025), while the alternative hypothesis (H₁) states that the variance is greater than the required variance (σ² > 0.025).

Next, we need to determine the critical value(s) of the test statistic. Since we are testing for variance, we will use the chi-square distribution. For a one-tailed test with α = 0.01 and 14 degrees of freedom (n-1), the critical value is 27.488.

Now, we can compare the test statistic to the critical value. The test statistic is calculated as (n-1) * s² / σ², where n is the sample size (15), s² is the sample variance (0.1587²), and σ² is the required variance (0.025).

If the test statistic is greater than the critical value, we reject the null hypothesis and conclude that the bolts vary by more than the required variance. Otherwise, we fail to reject the null hypothesis.

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To determine if the bolts vary by more than the required variance, we can conduct a hypothesis test. The null hypothesis (H₀) states that the variance of the bolts is equal to or less than the required variance (σ² ≤ 0.025), while the alternative hypothesis (H₁) states that the variance is greater than the required variance (σ² > 0.025).

Next, we need to determine the critical value(s) of the test statistic. Since we are testing for variance, we will use the chi-square distribution. For a one-tailed test with α = 0.01 and 14 degrees of freedom (n-1), the critical value is 27.488.

Now, we can compare the test statistic to the critical value. The test statistic is calculated as (n-1) * s² / σ², where n is the sample size (15), s² is the sample variance (0.1587²), and σ² is the required variance (0.025).

If the test statistic is greater than the critical value, we reject the null hypothesis and conclude that the bolts vary by more than the required variance. Otherwise, we fail to reject the null hypothesis.

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8/19 or 42.1%

add all values up to a total, then find the percentage from that total.

8 + 2 + 1 + 3 + 5 = 19 balls total

8 tennis valls to 19 total.

8/19 or 42.1%

Answer:

40

Step-by-step explanation:

(2x+1/(2x))^5 *(2x -1/(2x))^5

= ((2x)^2 -1/(2x)^2)^5 (a+b)*(a-b) =a2-b2

= (4x^2-1/4(x)^2)^5

now

x =4x^2. ,a = 1/4(x)^2 ,n =5

we have

general term = Cr *x^r *a^(n-r)

= Cr * (4x^2)^r * (1/4(x)^2)^(n-r)

= Cr *4^r * X^2r * 1/( 4^(n-r) *x^(2n-2r)

= Cr * 4^r/4^(n-r) * x^(2r)/x^(2n-2r)

= Cr * 4(2r-n) *x(4r-2n)

now for x^2

4r-2n = 2

4r -10=2

4r =12

r = 3

now for coeff

C(5,3) * 4^(2*3-5)

5!/(3!*(5-3)!) * 4

5*4/(2*1)*4

40

the point which will fall in the line is (14, 7)

Explanation:

The coordinates o f S = (2, 1)

When we draw a line from the origin (0, 0) touching the point S, we will see the next point will be (4, 2). Followed by (6, 3).

So when we look at the trend, we see that the x axis is the double of the y axis:

(2y, y) = (x, y)

(2,1 ) , (4, 2), (6, 3)

From the above, we can say the point which will fall in the line will follow that trend:

When we check the options, the only point with that trend is (14, 7).

This because (2(7), 7) = (2y, y)

Hence, the point which will fall in the line is (14, 7)

Answer:

Concept: Algebraic Manipulation

Answer:

T=-9

Step-by-step explanation:

Answer:

y+1/2= 3(x - 2)

Step-by-step explanation:

The slope can be seen to be 3 by factoring out each of the right sides.  Only a and c have a slope of 3.  Next if the point (2,-1/2) is plugged into the equation of c then you get an answer of 0=0.  Beacuse both sides are equal when the point desired is plugged in it is the correct answer.

Answer: C

Step-by-step explanation:

I took the test

Answer:

Option C 20

GOOD LUCK FOR THE FUTURE! :)