5/8 + 7/4 add these two together

Answer:

2 is corresponding angles

3 is alternate interior angles

4 is sum of angles

 By multiplying matrices B and A, we obtain the product BA. Using BA, we can solve the system of equations y + 2z = 7, x - y = 3, and 2x + 3y + 4z = 17.the values of x, y, and z are -1, 2, and 1 respectively

To find the product BA, we multiply matrix B with matrix A. The resulting matrix will have the same number of rows as B and the same number of columns as A. The product BA will be used to solve the given system of equations.
The product BA can be computed by multiplying each row of matrix B by each column of matrix A and summing the results. The resulting matrix will be:
Now, we can use the product BA to solve the system of equations:
-10x - 10y + 6z = 7,
3x - 8y + 2z = 3,
-6x - 16y + 15z = 17.

1 -1 2
2 3 1
0 4 2
We can rewrite this system of equations as:
-10x - 10y + 6z = 7,
3x - 8y + 2z = 3,
-6x - 16y + 15z = 17.
By comparing the coefficients of x, y, and z in the system of equations with the entries in the matrix BA, we can determine the values of x, y, and z.
Solving the system of equations using matrix BA, we get:
x = -1,
y = 2,
z = 1.
Therefore, the values of x, y, and z are -1, 2, and 1 respectively.

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The complete question is:
Given A=
⎣2 2 -4|
|-4 2 -4|
|2 -1 5|
, B=
⎣1 -1 0|
⎢2 3 4|
⎢0 1 2|
, find BA and use this to solve the system of equations y+2z=7, x−y=3, 2x+3y+4z=17.

The probability that a random sample of 28 second grade students from the city results in a mean reading rate of more than 96 wpm is 0.01715.

A normal distribution is a probability distribution that has been symmetrical around this mean, with most observations clustering around the central peak and probabilities tapering off evenly in both directions.

Now, according to the question,

The formula for normal distribution is;

z = (x - μ)/(σ/√s)

x is the sample size (= 96)

μ = standard mean (= 92)

σ = standard deviation (= 10)

s = random sample (= 28)

Substituting all the values in the equation;

z = (96 - 92)/(10/√28)

z = 2.117

Now, calculate the probability;

P(X > 96) = 1 - P(X ≤ 96)

               = 1 - P(X ≤ 2.117)

               = 1 - 0.98285

P(X > 96) =  0.01715

Therefore, the probability that a random sample of 28 second grade students from the city results in a mean reading rate of more than 96 wpm is 0.01715.

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The complete question is-

The reading speed of a second grade students in a large city is approximately normal with a mean of 92 words per minute and a standard deviation of 10 wpm. What is the probability that a random sample of 28 second grade students from the city results in a mean reading rate of more than 96 wpm?

Answer:

24 units

Step-by-step explanation:

BC + DC = BC

12 + 12 = 24 units

It cannot be determined. At least one other point on the line is needed to determine if x is proportional to y

Given data ,

A point on a straight line has an x-coordinate of 3 and a y-coordinate of 6

Now , A single point on a straight line does not define the connection between x and y. We must evaluate the connection between x and y for several places on the line in order to establish if x is proportional to y.

As a result, the relationship between x and y cannot be inferred only from the supplied location (3, 6). To establish the proportionality between x and y, at least one more point on the line is required

Hence , the equation of line is solved

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Answer:

x>1

Step-by-step explanation:

Answer:

x>1

I hope it will help you

An arc with central angle 325° and radius 4 m 14.44TT m 1.81mm 0.02T m 7.22T m. Therefore, the arc length is (13/9)π m, or approximately 4.56π m. Since the question asks us to leave the answer in terms of pi, we express the arc length as (13/9)π m.

To find the arc length, we can use the formula:

Arc Length = (Central Angle / 360°) × (2π × Radius)

Given that the central angle is 325° and the radius is 4 m, we can substitute these values into the formula:

Arc Length = (325° / 360°) × (2π × 4)

= (13/36) × (8π)

= (13/9)π

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Answer:

a = 55

Step-by-step explanation:

This angle is a right angle.

A right angle is equal to 90 degrees.

That means you have to subtract 90 and 35.

90 - 35 = 55

55° is the missing angle of the right angle.

Answer:

a = 55

Step-by-step explanation:

The whole image is a right angle which is 90 degrees. So subtract 35 degrees giving you the answer of 55 degrees

Answer:300

Step-by-step explanation:

Because the total area planted (240 square feet) is going to be composed of an area of flowers (x) and an area of vegetables, you can say x + y ≤ 240 (because he will use UP TO 240 square feet)

Because the area of vegetables will be AT LEAST twice the area of flowers, you can say y ≥ 2x

The orthogonal matrix S is

S = [1/√3 1/√3]

     [1/√3 -1/√3]

     [1/√3 1/√3]

To find an orthogonal matrix S such that S^(-1)AS is a diagonal matrix D, we need to find the eigenvectors of matrix A.

Given matrix A:

[0 2]

[2 0]

To find the eigenvectors, we solve the characteristic equation:

|A - λI| = 0

where λ is the eigenvalue and I is the identity matrix.

(A - λI) =

[0 - λ 2]

[2 0 - λ]

Expanding the determinant:

(-λ)(-λ) - 2(2) = λ^2 - 4 = 0

Solving for λ:

λ^2 = 4

λ = ±2

For λ = 2:

(A - 2I)v = 0

[0 - 2 2] [v1] = [0]

[2 0 - 2] [v2] [0]

Simplifying the system of equations:

-2v2 + 2v3 = 0

2v1 - 2v3 = 0

Solving the equations, we find v1 = v2 = v3.

Therefore, one eigenvector corresponding to λ = 2 is [1 1 1].

For λ = -2:

(A + 2I)v = 0

[0 2 2] [v1] = [0]

[2 0 2] [v2] [0]

Simplifying the system of equations:

2v2 + 2v3 = 0

2v1 + 2v3 = 0

Solving the equations, we find v1 = -v2 = v3.

Therefore, another eigenvector corresponding to λ = -2 is [1 -1 1].

To find the orthogonal matrix S, we normalize the eigenvectors:

v1 = [1 1 1] / √3

v2 = [1 -1 1] / √3

Now, we can construct the matrix S using the eigenvectors as columns:

S = [v1 v2]

[--- ---]

[--- ---]

Substituting the normalized eigenvectors:

S = [1/√3 1/√3]

[1/√3 -1/√3]

[1/√3 1/√3]

Therefore, the orthogonal matrix S is:

S = [1/√3 1/√3]

[1/√3 -1/√3]

[1/√3 1/√3]

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Answer:

I don't know if you believe in religion but I am a christian, and I go to God. If not, you may take comfort in loved ones. My sister passed a while ago in a car accident, and I was in it. I broke my back, collar bone, and neck. I was only 6 years old! So, I understand hard times, and maybe you should write just how much your family and that teacher means to you.

-Michael

Answer:

the answer is -3.375 hope this helped

The result of the integral ∫e^(24(3 + 5t - 2)) dt is (1/5) * (1/24) * e^(24(5t + 1)) + C

Reference to Power rule for integrals. To evaluate the integral ∫e^(24(3 + 5t - 2)) dt, we can simplify the expression inside the exponential function first:

3 + 5t - 2 = 5t + 1

Now we can rewrite the integral as:

∫e^(24(5t + 1)) dt

To evaluate this integral, we can use a substitution. Let u = 5t + 1. Then, du = 5dt, and dt = du/5.

Substituting these values into the integral, we have:

∫e^(24u) * (1/5) du

Now the integral becomes:

(1/5) ∫e^(24u) du

To integrate e^(24u), we can use the power rule for integrals. The integral of e^x is e^x, so the integral of e^(24u) will be (1/24)e^(24u). Applying this to the integral, we get:

(1/5) * (1/24) * e^(24u) + C

where C is the constant of integration.

Substituting back u = 5t + 1, we have:

(1/5) * (1/24) * e^(24(5t + 1)) + C

This is the result of the integral ∫e^(24(3 + 5t - 2)) dt.

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Answer: \(m\angle 1=82^{\circ}, m\angle 2=128^{\circ}\)

Step-by-step explanation:

By the same-side interior angles theorem,

\(m\angle 1=180^{\circ}-98^{\circ}=82^{\circ}\\\\m\angle 2=180^{\circ}-52^{\circ}=128^{\circ}\)

Answer:

=The opposite angles of a parallelogram are equal

=(3x+4)

=(5x-2)

=-2x=-6

=x=6+2

=x=3=

1st angle=3x+4=13

3rd angle=5x-2=13

=sum of adjacent side of angle is 180°

=Let the adjacent (2nd angle ) be y=

y+13°=180°

=y=180°-13°

=y=167°=

2nd angle=4th angle

=2nd angle=167° 

=4th angle=167°

Step-by-step explanation:

This might be confusing, but I hope it helps <3

Answer:

\(b =\sqrt{51}\)

Step-by-step explanation:

Using the Pythagorean Theorem,

\(a^{2} + b^{2} = c^{2} \\7^{2} + b^{2} =10 ^{2} \\b^{2} = 10^{2} - 7^{2} \\b^{2} = 100-49\\b^{2}= 51\\ b = \sqrt{51}\)

Hence the length of the third side is \(\sqrt{51}\)

translation I should believe

Answer:

monke explanation teen dance teen look good while dance teen famous

Step-by-step explanation:

Answer: 3/10

Step-by-step explanation:

Given a decimal number 0.3

To Write the rational number 0.3 in the form ab , where a and b are integers, take it to be :

0.3 /1

Multiply the numerator and the denominator by 10

0.3/1 × 10/10 = 3/10

Therefore, a = 3 and b = 10

the rational number 0.3 in the form ab , where a and b are integers is

3/10

Therefore, the volume of the solid bounded by the coordinate planes and the plane 6x + 4y + z = 24 is 96 cubic units.

To find the volume of the solid bounded by the coordinate planes (xy-plane, xz-plane, and yz-plane) and the plane 6x + 4y + z = 24, we need to determine the region in space enclosed by these boundaries.

First, let's consider the plane equation 6x + 4y + z = 24. To find the x-intercept, we set y = 0 and z = 0:

6x + 4(0) + 0 = 24

6x = 24

x = 4

So, the plane intersects the x-axis at (4, 0, 0).

Similarly, to find the y-intercept, we set x = 0 and z = 0:

6(0) + 4y + 0 = 24

4y = 24

y = 6

So, the plane intersects the y-axis at (0, 6, 0).

To find the z-intercept, we set x = 0 and y = 0:

6(0) + 4(0) + z = 24

z = 24

So, the plane intersects the z-axis at (0, 0, 24).

We can visualize that the solid bounded by the coordinate planes and the plane 6x + 4y + z = 24 is a tetrahedron with vertices at (4, 0, 0), (0, 6, 0), (0, 0, 24), and the origin (0, 0, 0).

To find the volume of this tetrahedron, we can use the formula:

Volume = (1/3) * base area * height

The base of the tetrahedron is a right triangle with sides of length 4 and 6. The area of this triangle is (1/2) * base * height = (1/2) * 4 * 6 = 12.

The height of the tetrahedron is the z-coordinate of the vertex (0, 0, 24), which is 24.

Plugging these values into the volume formula:

Volume = (1/3) * 12 * 24

= 96 cubic units

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Answer:

x=-10

Step-by-step explanation:

2(x+3)=x-4

2x+6=x-4

-2x   -2x

6=-x-4

+4    +4

10=-x

-1    -1

-10=x

\( \Large{\boxed{\sf x = 10}} \)

\( \\ \)

Given equation:

\( \sf 2(x + 3) = x - 4 \)

\( \\ \)

Expand the left side using the following distributive property:

A(B + C) = AB + AC

\( \\ \)

Here, A = 2, B = x, and C = 3.

We get:

\( \sf 2(x) + 2(3) = x - 4 \\ \\ \sf 2x + 6 = x - 4 \)

\( \\ \)

Now, subtract 6 from both sides:

\( \sf 2x + 6 - 6 = x - 4 - 6 \\ \\ \sf 2x = x - 10 \)

\( \\ \)

Subtract x from both sides :

\( \sf 2x - x = x - 10 - x \\ \\ \\ \boxed{\boxed{\sf x = -10}} \)

\( \\ \\ \)

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Answer:

0-11+3u have to exp

Step-by-step explanation:

so whene the disiredble answer

Women make up 64% of the sample and are typically the household's main investment.

There is a correlation between American women and being the main provider in their home.

Descriptive statistics, also known as brief informative coefficients, are used to summarize a specific data collection, which may be a sample of a population or a representation of the entire population. Descriptive statistics include measures of variability and central tendency (spread). Measures of central tendency include the mean, median, and mode, whereas measures of variability include the standard deviation, variance, minimum and maximum variables, kurtosis, and skewness.

For instance, the sum of the following data set is 20: (2, 3, 4, 5, 6). A 4 (20/5) is the mean. A data set's mode is the number that appears most frequently, while its median is the value that is in the middle of the range of values. It is the value that separates a data set's higher values from lower values. There are many less common ways to use descriptive statistics, but they are nevertheless essential.

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The correct question is - Suppose a survey of 580 women in the United States found that more than 64​% are the primary investor in their household. Which part of the survey represents the descriptive branch of​ statistics? Make an inference based on the results of the survey.

Answer:

Width = 44 yards

Length = 171 yards

Step-by-step explanation:

given data

length of the field = 5 yards

Perimeter of the rectangular field = 430 yards.

solution

we consider here length of the field = L

and width of the field = W

as we know length of the field 5yards less than quadruple the width

so here

L = 4W - 5       .....................................1

and  

Perimeter (P) will be here

P = 2(L + W)      ............................................2

put here equation 1 value

430 = 2(4W - 5 + W)  

solve it we get

W = 44

so here put value in eq 1 we het

L = 4W - 5          

L = 4(44) - 5

L = 171

so, length of the field is 171 yards

Coordinates of the fourth vertex is (-4,7).

Given:

coordinates (5,-5),(7,-9) and (-2,-7)

From the figure:

Horizontal line vertices are (7,-9) and (-2,-7) on comparing the x coordinates the x is 9 units so the top line starting from (5,-5) should  move 9 units left that is x coordinate is x = -4.

Vertical line vertices (5,-5) and (7,-9) on comparing the y coordinates the y is 14 units so the left line starting from (-2,-7) should move 14 units top that is y coordinate is y = 7.

Therefore coordinates of the fourth vertex is (-4,7).

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The value of 1.6 ounces into milliliters is  47.2336.

One common question in cooking and measuring ingredients is converting between milliliters (ml) and ounces (oz). A milliliter is a unit of volume in the metric system, while an ounce is a unit of volume in the imperial system.

To convert 1.6 oz to ml, we need to know the conversion factor.

1 oz is equal to 29.5735 ml.

To convert 1.6 oz to ml, we multiply 1.6 by 29.5735, which gives us 47.2336 ml.

Therefore, 1.6 ounces is equal to 47.2336 milliliters.

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The value of  x of chord = 5

By definition of circle,

The chord of a circle is defined as the line segment connecting any two locations on the circle's perimeter; nevertheless, the diameter is the longest chord of a circle that goes through the centre of the circle.

The chord is one of the several line segments that may be made in a circle, and its endpoints are on the circumference.

⇒ 6 (6 + x) = 7 (7 + 11)

Solve for x;

⇒ 36 + 6x = 7 × 18

⇒ 36 + 6x = 126

⇒ 6x = 126 - 36

⇒ 6x = 90

⇒ x = 15

Thus, The value of x = 5

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Answer:

answer is 18

Step-by-step explanation:

Answer:    C. 1.39x=15

Step-by-step explanation:

each song is worth 1.39 dollars

If there are x songs, the total value would be 1.39x

1.39x=15