Steven is driving to Texas pulling a 12 ft. boat. If he drives 150 miles in
2 hours, how far can he drive in 7 hours?

Answer:

-2x2 y1/3

Step-by-step explanation:

Answer:Y< 5x2 - 5 because it will be squared making it an exponential function

Step-by-step explanation:

Answer. 655.4

Step-by-step explanation:

what did u get?

The parametric equations for the line of intersection are:
x = 61 - 5t
y = 2t - 30
z = t

To find the parametric equations for the line of intersection of the given planes, we first need to solve the system of equations:

1. x + 2y + z = 1
2. 2x + 5y + 32 = 4

Step 1: Solve for x from equation 1:
x = 1 - 2y - z

Step 2: Substitute x in equation 2 with the expression found in step 1:
2(1 - 2y - z) + 5y + 32 = 4

Now we can use elimination to solve for one variable. Let's eliminate y by multiplying the first equation by 5 and subtracting it from the second equation:

Step 3: Simplify and solve for y:
2 - 4y - 2z + 5y + 32 = 4
y - 2z = -30

Step 4: Designate z as the parameter t:
z = t

Step 5: Substitute z with t in the expression for y:
y = 2t - 30

Step 6: Substitute z with t in the expression for x:
x = 1 - 2(2t - 30) - t
x = 1 - 4t + 60 - t
x = 61 - 5t

Now we have the parametric equations for the line of intersection:
x = 61 - 5t
y = 2t - 30
z = t

Note that we can choose any value of z for the parameter t, since z is unconstrained.

Learn more about Parametric:

brainly.com/question/15585522

#SPJ11

The probability that an student makes more word errors than non word errors is given as follows:

0.2327 = 23.27%.

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The mean and the standard deviation for each distribution are given as follows:

The distribution of differences non word errors - word errors has the mean and the standard deviation given as follows:

The probability that an student makes more word errors than non word errors is the probability that the difference non word errors - word errors is less than zero, which is the p-value of Z when X = 0.

Then:

\(Z = \frac{X - \mu}{\sigma}\)

Z = (0 - 1.1)/1.5134

Z = -0.73

Z = -0.73 has a p-value of 0.2327.

The mean and the standard deviation of each distribution are given as follows:

More can be learned about the normal distribution at https://brainly.com/question/25800303

#SPJ1

Answer:

Skewed right center around varies from 12 to 30. Possible outliers 12, 14, 15, 16.

The distribution of quiz scores is skewed right with a center around 24 and varies from 12 to 30. There are possible outliers at 12, 14, 15, and 16.

The dot plot is skewed to the right because majority of the data occur to the right of the dot plot.

An outlier is a number that is way smaller or way larger than that of other numbers in a data set. Outliers usually occur with a frequency of one. Looking at the dot plot, it can be seen that the numbers that range from 12 to 16 have only one dot.

To learn more about outliers, please check: https://brainly.com/question/27197311

SPJ2

The exact value of R is 0.16 or 16% using compound interest.

To find the exact value of R, we need to use the formula for compound interest. The formula for compound interest is: A = P(1 + r/n)^(nt)Where A is the final amount, P is the principal amount, r is the nominal interest rate, n is the number of times interest is compounded per year, and t is the number of years.

We can plug in the values given in the question to find R. The interest earned during t = 0.5 to t = 1.5 is 1.0816 times the interest earned during t = 0 to t = 1.

So, we can set up an equation:1.0816(P(1 + R/4)^(4*1)) = P(1 + R/4)^(4*1.5)Simplifying the equation gives us:1.0816 = (1 + R/4)^0.5

Taking the square root of both sides gives us:1.04 = 1 + R/4Subtracting 1 from both sides and multiplying by 4 gives us:R = 0.16Therefore, the exact value of R is 0.16 or 16%.

Learn more about compound interest:

https://brainly.com/question/24924853

#SPJ11

Answer:

First one: true        Second one: true

Step-by-step explanation:

First Question: the lines will be parellel even though the shape grows or gets smaller

Second Question: the angle will stay the same even if it grows into a larger or smaller shape.

Answer:

320 :)

Step-by-step explanation:

(30+2)10 = 320 hope this helps

By using the formula for mean and variance, it can be calculated that

Mean of X = 25

Variance of X = 51.67

What is mean and variance?

Suppose there is a data set. Mean gives the average of the values of the data set

Variance is the square of the sum of deviation from mean.

Let x be the total; of the numbers on the two card

Possible values of X= 15, 20, 25, 30, 35

P(X = 15) = \(\frac{2}{12}\)

P(X = 20) = \(\frac{2}{12}\)

P(X = 25) = \(\frac{4}{12}\)

P(X= 30) = \(\frac{2}{12}\)

P(X = 35) = \(\frac{2}{12}\)

Mean of X =

\(15 \times \frac{2}{12} + 20 \times \frac{2}{12} +25 \times \frac{4}{12} + 30 \times \frac{2}{12} + 35 \times \frac{2}{12}\\\\\frac{300}{12}\\\\25\)

Variance of X =

= \((225 \times \frac{2}{12} + 400 \times \frac{2}{12}+625 \times \frac{4}{12}+900 \times \frac{2}{12}+1225 \times \frac{2}{12}) - (25)^2\\\\\frac{8000}{12} - 625}\\\\666.67 - 625\\\\51.67\)

To learn more about mean and variance, refer to the link-

https://brainly.com/question/25639778

#SPJ4

Complete Question

In a box are four cards numbered 5, 10, 15, 20. two cards are taken out at random without replacement, and X is the total; of the numbers on the two card. Find the mean and variance of X .

Answer:

c

Step-by-step explanation:

-2 (9+32n) turns them both negative and makes them the numbers in said expression

\( \sf \longrightarrow \: \frac{2n - 1}{3} = \frac{n + 2}{2} \\ \)

\( \sf \longrightarrow \: 2( 2n - 1) = 3(n + 2) \\ \)

\( \sf \longrightarrow \: 4n - 2 = 3n +6 \\ \)

\( \sf \longrightarrow \: 4n = 3n +6 + 2\\ \)

\( \sf \longrightarrow \: 4n - 3n= 6 + 2\\ \)

\( \sf \longrightarrow \: 1n= 6 + 2\\ \)

\( \sf \longrightarrow \: n= 8\\ \)

\( \longrightarrow { \underline{ \overline{ \boxed{ \sf{\: \: \: n= 8 \: \: \: }}}}} \: \: \bigstar\\ \)

Answer:

B

Step-by-step explanation:

x*3/7=42

divide 42 by 3/7: 42*7/3=98

x=98

Answer:

B) 98

Step-by-step explanation:

3/7 = 42/x

3x = 294

x = 98

Answer:

(√3)/3

Step-by-step explanation:

tan ø = opp/adj

tan ø = (1/2)/((√3)/2)

tan ø = ½ * 2/(√3)

tan ø = 1/(√3) then make it rational

tan ø = (√3)/3

a) Since the triangles are congruent, and ΔABC is congruent to ΔDEF, segments AB and DE have the same value. Therefore, you can use algebra to solve for x when using the knowledge that (12 - 4x) is equal to (15 - 3x).

To solve:

12 - 4x = 15 - 3x

12 = 15 + x

-3 = x

Therefore, x is equal to -3.

b) To find the value of AB, plug in the value of x found in part a).

12 - 4x

12 - 4(-3)

12 - (-12)

12 + 12 = 24

Thus, segment AB is equal to 24.

c) As shown in part b), plug in the value of x found in part a) to find the value of segment DE.

15 - 3x

15 - 3(-3)

15 - (-9)

15 + 9 = 24

Thus, segment DE is also equal to 24.

We can confirm the knowledge of the equal side lengths because the triangle are congruent. This means that all the side lengths in the triangle are the same, which is confirmed when algebraically plugging in the value of x to solve for the values of the segments AB and DE.

I hope this helps!

Step-by-step explanation:

angle e = 82(opp angles)

take ∆aef, angle a is bisected. angle eaf = 45, angle e = 82.

so angle efa = 180-127= 53

b° = 90-53= 37°

take ∆ adf .

a+90+53= 180

a+143=180

a = 37°

Answer:

Edge 2021

Answer:

C

Step-by-step explanation:

i jut got it right

Answer:

5/2

Step-by-step explanation:

use formula

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

\(m = ( \frac{4 - - 1}{2 - 0} )\)

\(m = ( \frac{5}{2} )\)

The equation of the tangent line to the curve y = ln(x² − 4x + 1) at the point (4, 0) is y = (-4/7)x + (16/7).

Given function is y = ln(x² − 4x + 1) and the point at which the tangent line is to be drawn is (4, 0).

Let's begin the solution by finding the derivative of the given function as follows:

dy/dx = (1/(x² − 4x + 1))*(2x - 4) = (2x - 4)/(x² - 4x + 1)

We are given the point (4, 0), at which the tangent line is to be drawn. The slope of the tangent line at this point is the value of the derivative at this point. Let's find the slope as follows:

m = (2*4 - 4)/(4² - 4*4 + 1) = -4/7

Thus, the slope of the tangent line at (4, 0) is -4/7.The equation of the tangent line at this point can be found by using the point-slope form of a line. The point-slope form of the line is given by:

y - y₁ = m(x - x₁)

where (x₁, y₁) is the point (4, 0) and m is the slope we found above.

Substituting these values, we get:

y - 0 = (-4/7)(x - 4)

Simplifying, we get:

y = (-4/7)x + (16/7)

Thus, the equation of the tangent line to the curve y = ln(x² − 4x + 1) at the point (4, 0) is y = (-4/7)x + (16/7).

Learn more about the equation at:

https://brainly.com/question/32229843

#SPJ11

The electric field (E-field) associated with the given potential function V(x, z) = 4bx^2 + 4az^3 - 3cz^3 is E = -8bx i - (12az^2 - 9cz^2)j.

To find the electric field (E-field) associated with the given potential function, we need to calculate the negative gradient of the potential. The E-field is given by the following formula:

E = -∇V

Where ∇ is the gradient operator. In this case, the potential function V(x, z) is defined as:

V(x, z) = 4bx^2 + 4az^3 - 3cz^3

To calculate the E-field, we need to take the partial derivatives of V with respect to x and z and then apply the negative sign. Let's calculate each component separately:

Partial derivative with respect to x (dV/dx):

dV/dx = 8bx

Partial derivative with respect to z (dV/dz):

dV/dz = 12az^2 - 9cz^2

Now, we can write the E-field vector as:

E = -∇V = -(dV/dx)i - (dV/dz)j

Substituting the calculated partial derivatives, we have:

E = -8bx i - (12az^2 - 9cz^2)j

Therefore, the electric field (E-field) associated with the given potential function V(x, z) = 4bx^2 + 4az^3 - 3cz^3 is:

E = -8bx i - (12az^2 - 9cz^2)j

Note that the positive constants b and c are included in the E-field expression.

Learn more about electric field here

https://brainly.com/question/19878202

#SPJ11

By applying dilatation and congruency theorem, it can be concluded that the distance between points R and R' is 3 units (option A).

Dilation is a transformation of a geometric shape, either becoming larger or smaller, without changing the original shape using a certain scale factor.

Two shapes are said to be congruent if a pair of corresponding sides have the same ratio and the corresponding angles have the same measure.

From the problem we obtained the following information:

QR is dilated to create Q'R' ⇒ QR // Q'R'

The dilatation factor is 1.5 ⇒ Q'R'/QR = 1.5

Now we look at the ΔTRQ and ΔTR'Q':

QR // Q'R'

∠TRQ = ∠TR'Q'

So ΔTRQ is congruent to ΔTR'Q' and TR'/TR = Q'R'/QR

Now we can calculate y using this equation:

   TR'/TR = Q'R'/QR

(6 + y) / 6 = 1.5

      6 + y = 9

            y = 3

Thus, the distance between points R and R' is 3 units.

To learn about dilatation, click here: https://brainly.com/question/29474743

#SPJ4

The identities among the given statements are:

tan x = sin x / cos x

sin x / tan x = cos x

We have,

Let's analyze each of the given statements to determine whether they are identities:

tan x = sin x / cos x:

This is an identity.

It is known as the fundamental identity of trigonometry, as it holds true for all values of x (except when cos x is equal to 0).

tan x cos x = sin x:

This is not an identity.

It is a specific equation that may be true for certain values of x, but it does not hold true for all values of x.

cos x = tan x sin x:

This is not an identity.

Similar to the previous statement, it is a specific equation that may be true for certain values of x, but it does not hold true for all values of x.

sin x / tan x = cos x:

This is an identity.

It can be derived from the fundamental identity by dividing both sides by cos x, resulting in sin x / cos x = cos x / cos x, which simplifies to sin x / tan x = cos x.

Thus,

The identities among the given statements are:

tan x = sin x / cos x

sin x / tan x = cos x

Learn more about trigonometric identities here:

https://brainly.com/question/14746686

#SPJ1

Answer:

Una secadora de cabello tiene una resistencia de 10Ω al circular una corriente de 6 Amperes, si está conectado a una diferencia de potencial de 120 V, durante 18 minutos ¿Qué cantidad de calor produce?, expresado en calorías

Answer:

65 degrees

Step-by-step explanation:

The measure of a straight angle is 180 degrees

115-180=65

9) Diagonals of a parallelogram bisect each other, so KN=NM. Thus, KM=13.5+13.5=27 cm

10) Opposite sides of a parallelogram are congruent, so LM=KJ=17 cm

11) Based on Question 9, MN=13.5 cm

Answer:

Measure of N = 75°

Hope it helps

The measure of angles of intersecting lines are solved

Given data ,

When lines intersect, two angle relationships are formed:

Opposite angles are congruent

Adjacent angles are supplementary

a)

The total measure of angles = 90°

So , ( x + 16 )° + ( 3x + 2 )° = 90°

On simplifying , we get

4x + 18 = 90

Subtracting 18 on both sides , we get

4x = 72

Divide by 4 on both sides , we get

x = 18

Therefore , the angles are solved

b)

The angles on a straight line is supplementary = 180°

So , 3x° + 84° = 180°

Subtracting 84° on both sides , we get

3x = 96°

Divide by 3 on both sides , we get

x = 32

Therefore , the angles are solved

c)

The angles on a straight line is supplementary = 180°

So , ( 6x + 3)° + 87° = 180°

Subtracting 87° on both sides , we get

( 6x + 3)° = 93°

Subtracting 3 on both sides , we get

6x = 90

Divide by 6 on both sides , we get

x = 15

Therefore , the angles are solved

d)

The Opposite angles are congruent

So , 63° = 4x + 3

Subtracting 3 on both sides , we get

4x = 60

x = 15

Hence , the angles of intersecting lines are solved

To learn more about intersecting lines click :

https://brainly.com/question/16315358

#SPJ1

Answer:

C

Step-by-step explanation:

The statement says that if l is perpendicular to m then angle 1 is a right angle which is Definition of perpendicular.

keep smiling.

The first term in our arithmetic sequence = 13

The common difference of our arithmetic sequence = 17 - 13 = 4

The formula for finding an equation for any arithmetic sequence is a(n) = A + B(n - 1)

A = the first term

B = the common difference.

Let's plug our numbers in.

a(n) = 13 + 4(n - 1)

Let's check to make sure we're correct.

a(1) = 13 + 4(1 - 1) = 13 + 4(0) = 13 + 0 = 13

a(2) = 13 + 4(2 - 1) = 13 + 4(1) = 13 + 4 = 17

That verifies that our formula is correct.

In conclusion,

a(n) = 13 + 4(n - 1)

The factor of the expression will be (x + 1) and (x + 1). Then the product of two binomials will be (x + 1) and (x + 1).

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The expression is given below.

⇒ x² + 2x + 1

Factorize the expression, then the factor of the expression will be

⇒ x² + x +  x + 1

⇒ x(x + 1)x + 1(x + 1)

⇒ (x + 1)(x + 1)

⇒ (x + 1)²

The product of two binomials will be (x + 1) and (x + 1).

More about the factorization link is given below.

https://brainly.com/question/6810544

#SPJ1