I NEED HELP ASAP PLSSSSSSS

Answer:

\(\displaystyle 1\frac{2}{5}=\frac{7}{5}\)

Step-by-step explanation:

\(\displaystyle a\frac{b}{c}=\frac{ac+b}{c}\\\\1\frac{2}{5}=\frac{(1)(5)+2}{5}=\frac{5+2}{5}=\frac{7}{5}\)

Answer:

5.2 hours

Step-by-step explanation:

To find the solution, you need to multiply Aretha's time by 1.6, since Neal takes 1.6 as long to run the marathon.

3.25 × 1.6 = 5.2

In other words, Neal takes 5.2 hours to run the marathon. Let me know if I can help you with anything else, 'kay?

Answer:

the third one

3.F is the vertex of the pair of congruent angles i. the diagram that's all enjoy:)

The surface with parametric equation of the tangent plane to the surface at the point (2, 3, 1) is x - y - z = -2

To find the equation of the tangent plane to the surface described by the parametric equations r(s ,t) = (s, t+ s, s-t) at the point (2, 3, 1), we need to determine the partial derivatives of the position vector r(s, t) with respect to both s and t.

Let's calculate these derivatives:

∂r/∂s = (∂x/∂s, ∂y/∂s, ∂z/∂s)

= (1, 1, 1)

∂r/∂t = (∂x/∂t, ∂y/∂t, ∂z/∂t)

= (0, 1, -1)

Now, we can use the partial derivatives to find the normal vector to the tangent plane at the point (2, 3, 1). The normal vector is given by the cross product of the partial derivative vectors:

n = ∂r/∂s × ∂r/∂t

= (1, 1, 1) × (0, 1, -1)

Performing the cross product:

n = (1 * 1 - 1 * 0, 1 * (-1) - 1 * 0, 1 * 0 - 1 * 1)

= (1, -1, -1)

Since the normal vector is (1, -1, -1), we can use this vector as the coefficients of the equation of the tangent plane. The equation of a plane can be written as A x + By + C z = D, where (A, B, C) is the normal vector and (x, y, z) is a point on the plane.

Using the point (2, 3, 1) on the surface and the normal vector (1, -1, -1), the equation of the tangent plane becomes:

1 * x + (-1) * y + (-1) * z = D

x - y - z = D

To find the value of D, substitute the coordinates (2, 3, 1) into the equation:

2 - 3 - 1 = D

D = -2

Therefore, the equation of the tangent plane to the surface at the point (2, 3, 1) is:

x - y - z = -2.

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The information in the venn diagram have the following solution:

a) A ∪ B = {8,14,17,16,9,15}

b) A ∩ B = {14,17}

c) probability that one of the numbers chosen at random is A' = 0.7

Venn diagrams are commonly used in mathematics, statistics, and logic to illustrate relationships between sets of data. It consists of circles that overlap to show the similarities and differences between the sets like in the case of students data.

From the venn diagram we have that:

A = {8,14,17}

B = {14,17,16,9,15

A' = {13,10,11,12,16,9,15}

U = {13,10,11,12,8,14,17,16,9,15}

so;

A ∪ B = {8,14,17,16,9,15}

A ∩ B = {14,17}

A' = 7

U = 10

probability that one of the numbers chosen at random is A' = 7/10 or 0.7

Therefore, the information from the venn diagram have the following solutions for:

a) A ∪ B = {8,14,17,16,9,15}

b) A ∩ B = {14,17}

c) probability that one of the numbers chosen at random is A' = 0.7

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Answer:        我不知道你好

Step-by-step explanation:

Simple interest refers to the straightforward crediting of cash flows associated with some investment or deposit. If Khalid makes an investment at 4% simple interest. at the end of 1 year, the total value of the investment is $1560. Then the original investment is $1500.

Simple interest refers to the straightforward crediting of cash flows associated with some investment or deposit.

Percent to decimal 4%=4/100=0.04

A=P(1+rt)

where A is the final amount

P is initial principle balance, t is time and r rate of interest.

1560=P(1+0.04)

1560=1.04P

P=1560/1.04

P=1500

Therefore $1500 is originally invested.

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To evaluate the indefinite integral of the given function, follow the steps given below:

Step 1: Identify u and du in the integrand.

There are two parts in the given integral: cos²(t) and √6 + tan(t).

Let's take u = tan(t) and

du = sec²(t) dt.

Hence, the integral can be written as:

∫cos²(t) √6 + tan(t) dt = ∫cos²(t) du/√6 + u

Step 2: Simplify the integrand and substitute u.

The integral can be written as

∫cos²(t) du/√6 + u

= (1/√6) ∫cos²(t) du/(1 + u/√6)

Substitute u = tan(t). Then, du = sec²(t) dt.

The integral becomes ∫cos²(t) du/√6 + u

= (1/√6) ∫(1 + tan²(t)) dt/(1 + tan(t)/√6)

= (1/√6) ∫(1 + u²) du/(1 + u/√6)

Step 3: Apply partial fraction decomposition.

We can apply partial fraction decomposition on the above integral to simplify it. The decomposition is given by:

(1 + u²)/(1 + u/√6)

= A + (B/√6 + u)

Solve for A and B by multiplying both sides by the denominator on the left-hand side and then substituting appropriate values for u,

which will give us the values of A and B.

A + (B/√6 + 0)

= 1 (when u = 0)A + (B/√6 + √6)

= 2 (when u = -√6)

Solving these equations will give us

A = 3/5 and

B = -√6/5

Hence, the integral becomes:

∫(1 + u²) du/(1 + u/√6)

= (3/5) ∫du + ((-1/5)√6) ∫(√6 - u)/[1 + (u/√6)]

du = (3/5)u - (√6/5) ln|1 + (u/√6)| + C

Substituting back u = tan(t) in the above expression,

we get:

(3/5) tan(t) - (√6/5) ln|1 + (tan(t)/√6)| + C

This is the final solution to the given indefinite integral.

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Answer:

\( LJ = 46 \)

Step-by-step explanation:

Given:

\( LK = MK \)

\( LK = 7x - 10 \)

\( KN = x + 3 \)

\( MN = 9x - 11 \)

\( KJ = 28 \)

Required:

LJ

Solution:

Step 1: create an equation to find the value of x

Since we are given that LK = MK, and LK = 7x - 10, let's find the expression for MK to get an equation.

\( MK + KN = MN \) (segment addition postulate)

\( MK = MN - KN \) (Subtract KN from each side)

\( MK = (9x - 11) - (x + 3) \) (subtitution)

\( MK = 9x - 11 - x - 3 \)

\( MK = 9x - x - 11 - 3 \)

\( MK = 8x - 14 \)

LK = MK, therefore,

\( 7x - 10 = 8x - 14 \)

Subtract 8x from each side

\( 7x - 10 - 8x = 8x - 14 - 8x \)

\( -x - 10 = -14 \)

Add 10 to both sides of the equation

\( -x - 10 + 10 = -14 + 10 \)

\( -x = -4 \)

Divide both sides by -1

\( x = 4 \)

Step 2: Find LJ

\( LJ = LK + KJ \) (segment addition postulate)

\( LJ = (7x - 10) + (28) \)

Plug in the value of x

\( LJ = 7(4) - 10 + 28 \)

\( LJ = 28 - 10 + 28 \)

\( LJ = 46 \)

a) The first partial derivative of z with respect to x is dz/dx = (-2x) / (2y + 2z). b) The first partial derivative of z with respect to x is \(dz/dx = (-ze^{xz} - y) / (xe^{xz} + xz).\)

a) To differentiate implicitly, we take the derivative of each term with respect to x, treating y as a function of x and z as a function of x, and then solve for the partial derivatives of z.

Differentiating each term with respect to x, we get:

2x + 2y(dz/dx) + 2z(dz/dx) = 0

Simplifying, we have:

2x + 2y(dz/dx) + 2z(dz/dx) = 0

(dz/dx)(2y + 2z) = -2x

dz/dx = (-2x) / (2y + 2z)

Therefore, the first partial derivative of z with respect to x is dz/dx = (-2x) / (2y + 2z).

b) To differentiate implicitly, we take the derivative of each term with respect to x, treating y as a function of x and z as a function of x, and then solve for the partial derivatives of z.

Differentiating each term with respect to x, we get:

\(ze^{xz} + x(dy/dx)e^{xz} + y + xz(dy/dx) = 0\)

Simplifying, we have:

\(ze^{xz} + x(dy/dx)e^{xz} + xz(dy/dx) + y = 0\)

Grouping the terms involving dy/dx, we have:

\((dy/dx)(xe^{xz}+ xz) = -ze^{xz} - y\\dz/dx = (-ze^{xz} - y) / (xe^{xz} + xz).\)

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Answer:

no she will not

Step-by-step explanation:

145*11 < 1900

Answer:

not quite

Step-by-step explanation:

11x145=1595

she would need to work a bit longer

Answer:

The y intercept of Function A is less than the y intercept of Function B.

Step-by-step explanation:

To find the y-intercept of the equation for A set x=0 and solve for y

Y=4(0)+1 therefore the y intercept for equation A is y=1

To find the y intercept for graph B you find the point where the graph intercepts the y axis which in this case it looks like it intercepts(crosses) the y axis at y=2

Therefore equation A y- intercept(y=1) < equation B y-intercept (y=2)

Hopefully this helps! If it did please mark brainliest! Feel free to ask me any other questions :)

Answer:

91.7 cm^3

Step-by-step explanation:

\(Vol=\frac{1}{3} \times base area \times height=\frac{1}{3} \times 19.8 \times 13.9= 91.7 cm^{3}\)

The population of the given samples are defined below.

a) The populations for apple prices at two stores near your house could be:

i) All the prices for apples at all the stores in your city.

ii) The prices for apples at all the stores in your neighborhood.

b) The following populations might correspond to the days of the week that your maths students placed food orders:

i) The days of the week when every student at your school placed a meal order.

ii) The days of the week that all maths students from various schools purchased lunch.

c) The following populations might be based on the average daily high temperatures for the 59 state capitals over the preceding year:

i) The 59 U.S. states' cities' average daily high temperatures.

ii) The average daily high temperature for all capital cities worldwide throughout the previous year.

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Answer:

Please finish question.

Step-by-step explanation:

Hello! I would be able to answer your question if you finish your question.

The sequence is arithmetic. The common difference is 6. Answer: b

If a sequence is arithmetic, there exists a common difference d that is added to each term to get the next term. For instance, given the sequence 2, 5, 8, 11, 14, ...  to get each of the subsequent terms, we add 3. 2 + 3 = 5; 5 + 3 = 8, and so on.

The given sequence is 2,7,13,20, ...To determine whether it is an arithmetic sequence, we need to find the common difference d.

Subtract each subsequent term from its preceding term;7 - 2 = 513 - 7 = 620 - 13 = 7

Therefore, the common difference d is 6.

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Answer:

Step-by-step explanation:

34

Answer:

(+8×5) + (-6)

(+40) + (-6)

(+40-6)

(+34)

The correct option is:\[x1=14+11x3\\x2=-3-4x3\\x3 \space free\]

The given augmented matrix is:\[\begin{bmatrix} 1&2&-3&8\\0&1&4&-3\\0&0&0&0 \end{bmatrix}\]

We have two non-zero rows so this system is consistent.

Let x3 be the free variable, then from the second row,\[x2=-3-4x3\]

From the first row,\[x1=8-2x2+3x3=8+2(3+4x3)+3x3=14+11x3\]

The general solution is\[x=\begin{bmatrix} 14+11x3\\-3-4x3\\x3 \end{bmatrix}\]

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Complete Question:

You plant an 8-inch spruce tree that grows 4 inches per year and a 14-inch hemlock tree that grows 6 inches per year.

The initial heights are shown.

Write a system of linear equations that represents this situation.

Answer:

\(s(x) = 8 + 4x\)

\(h(x) = 14 + 6x\)

Step-by-step explanation:

Given

Spruce Tree (s):

\(Initial\ Height = 8\)

\(Growth = 4\) (yearly)

Hemlock Tree (h):

\(Initial\ Height = 14\)

\(Growth = 6\) (yearly)

Required

Represent as system of linear equations

Let the number of years be x.

In both cases, the equation can be formed using:

\(Equation = Initial\ Height + Growth * x\)

For Spruce Tree (s):

\(s(x) = 8 + 4 * x\)

\(s(x) = 8 + 4x\)

For Hemlock Tree (h):

\(h(x) = 14 + 6 * x\)

\(h(x) = 14 + 6x\)

Hence, the equations are \(s(x) = 8 + 4x\) and \(h(x) = 14 + 6x\)

B. A spinner divided into 5 congruent sectors, spun 4 times

Have a good day

The correct answer is “a spinner divided into 5 congruent sectors, spun 4 times”

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.

Given that, A restaurant owner has found that 80% of her customers return to the restaurant within two weeks. She wants to create a tool that will simulate the habits of her customers and allow her to predict the probability that three of the next four customers to visit her restaurant will return within two weeks.

The correct spinner to use among the 4 should have a probability of winning of 80%, similar to what the owner has found out. So, we must calculate the probability of each spinner.

1. Spun 3 times, and chance of winning is 1 in 5, therefore P = (3) (1/5) = 0.6 = 60%

2. Spun 4 times, and chance of winning is 1 in 5, therefore P = (4) (1/5) = 0.8 = 80%

3. Spun 3 times, and chance of winning is 1 in 2, therefore P = (3) (1/2) = 1.5 = 150%

4. Spun 4 times, and chance of winning is 1 in 2, therefore P = (4) (1/2) = 2 = 200%

We can see that there is only 1 choice that has 80% probability,

Hence, the correct answer is “a spinner divided into 5 congruent sectors, spun 4 times”

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Answer:

12km/h

Step-by-step explana:

Let's call the total distance 2a from which we can calculate t1 equivalent to the first half of the distance a/10 similar to t2 is a/15 from which the total time is a/6 . We have the average speed equal to the total distance dduowcngf divided by the total inferred time by 2a/(a/6) which equals 12km/h

Answer:

A

Step-by-step explanation:

When a discriminant is positive it has two distinct roots. When a discriminant is negative it has no real roots. When a discriminant is zero it has two roots that are the same so that counts as one root.

Answer:

91.3 degrees celsius

Step-by-step explanation:

Here, we want to calculate the mean temperature of the 30 cups

From what we have here, if we multiplied the mean by the count of cups, we have the total

That means, we have the total temperature of all as;

(10 * 89.6) + (20 * 92.1) = 2,738

So to get the temperature of the thirty, we divide this by 30 as follows;

2,738/30 = 91.3

ANSWER

EXPLANATION

We want to find the measure of angle B.

To do this, we first have to find the measure of angle C using the sine rule:

Substitute the given values into the equation and solve for C:

Now, we can find the measure of angle B using the sum of angles in a triangle. The sim of angles in a triangle is 180 degrees. This implies that:

Answer: it’s y=5, 9, 13, 17

Step-by-step explanation:

Answer:

H(n) = 234⁽ⁿ⁻¹⁾

Step-by-step explanation:

Hello,

The first thing to do when finding an explicit equation is to determine if the sequence is arithmetic or geometric.

In this question, the sequence is a geometric progression.

h(n) = h⁽ⁿ⁻¹⁾.(-9)

a = -26

r = common difference

a(n) =ar⁽ⁿ⁻¹⁾

h(n) = -26 × (-9)hⁿ⁻¹⁾

h(n) = 234⁽ⁿ⁻¹⁾

Answer:

−26⋅(−9) ^n-1

Step-by-step explanation:

Answer: about 0.79

Step-by-step explanation:

First divide 8 by 9 --> (8/9) = about 0.8889

then square that value --> (0.8889)^2 = about 0.79.

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