PLEASE HELP THIS IS SUPER URGENT

Answer:

the answer is $62

Step-by-step explanation:

if you subtract 110 by 98 you get 12 and the same for the rest so if you subtract 74 by 12 you get 62

Hope that help :)

Answer:

62

Step-by-step explanation:

Answer:

6000

Step-by-step explanation:

Answer:

6000

Step-by-step explanation:

5% = 0.05.

0.05x = 300

divide both sides of the equation by 0.05

0.05x/0.05 = 300/0.05

x = 300/0.05

x = 6,000

Answer:

  line QR

Step-by-step explanation:

Plane QRB is the front face. Plane TSR is the top face. The planes intersect at the top front edge, line QR.

Answer:

D. 4

Step-by-step explanation:

The lines cross on the point (2.5,4), this is the only place on the graph where the lines share the same y-value.

Step-by-step explanation:

Find the rule:

2, -6, 18, ...

To get to -6, multiply by -3.

To get to 18, multiply by -3.

The rule is to multiply by -3.

Find the 7th term:

Multiply 18 by -3.

\(-18 \times 3 = -54\)

-54 is the 4th term.

Multiply -54 by-3.

\(-54 \times -3 = 162\)

162 is the 5th term.

Multiply 162 by -3.

\(162 \times -3 =-486\)

-486 is the 6th term.

Multiply -486 by -3.

\(-486 \times -3 = 1458\)

1458 is the 7th term.

Answer:

X = all #'s

why?

6x+10+10x < 4(4x+3)

Combined liked terms

16x + 10 < 16x +12

you can see that there is X on both sides and the lowest one has a +10 and the highest has a +12 so it will always be greater by 2

Answer:

undeterminate (all real numbers are a solution)

Step-by-step explanation:

1) multiply 4 by 4x and 3

6x + 10 + 10x < 16x + 12

2) added up the terms with x

16x + 10 < 16x + 12

3) add at the two members -16x

10 < 12

4) notice the 10 is ever < 12, so the inhequality is undetermined

In triangle ABC, AB = 12, BD = 4, BC  = 8 Then the length of AC  = 14.42 units.

In triangle ABC, angle ABC = 90º, which means it's a right triangle. Point D lies on segment BC, with AD as an angle bisector. Given AB = 12 and BD = 4, we need to find AC.

Since AD is an angle bisector, it divides angle BAC into two congruent angles. In right triangles, angle bisectors also divide the opposite side (BC) proportionally to the adjacent sides (AB and AC). Let CD = x. Thus:

BD/AB = CD/AC
4/12 = x/AC
x = (4 * AC)/12

Now, apply the Pythagorean theorem for right triangle ABC:

AB² + BC² = AC²
12² + (4 + x)² = AC²

Substitute x from the proportion:

12² + (4 + (4 × AC)/12)² = AC²
144 + (4 + (4 × AC)/12)² = AC²

Solve for AC:
12² + 8²  = AC²
144 + 64  = AC²

208  = AC²

Taking square root on both the sides

√208  = AC

14.42 units  = AC

So, the length of side AC in triangle ABC is approximately 14.42 units.

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Subtract 4 from both sides of the equation, then subtract f from both sides and divide both sides by -7/2 to solve for f.

In order to solve for f, the equation must be manipulated to isolate it on one side of the equation. To do this, the equation must be manipulated algebraically. First, subtract 4 from both sides of the equation. This will move the constant part to the other side of the equation, leaving only the f on the left side. Then, subtract f from both sides, which will move the f to the other side and leave only the constant on the left side. Finally, divide both sides of the equation by -7/2. This will move the coefficient of f to the other side and will leave only f on one side of the equation, thus isolating it. The resulting answer is f=1. This process of manipulating the equation algebraically is called solving the equation for f.

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On solving the provided question, we can say that - so, percentage - 400/500 X 100 = 80%

A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.

here,

total is 500

obtained is 400

so, percentage - 400/500 X 100 = 80%

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x=5 is the required equation of straight line

The steepness of a line is determined by its slope. The slope is m in the equation for a line that is typically used, y = mx + b. The term "rise over run" is also frequently used to describe it and describes how much the y-value changes as the x-value does.

According to the given value;

slope of line is Y₂-Y₁/X₂-X₁

hence slope for given line will be

3-(-2)/5-5 =5/0 = ∞

slope is infinity means straight line is vertical in nature and vertical lines are of the form x=a where a is some constant

now we can observe that 5 is constant in both the given points so x=5 is the required line which passes through (-2,-6),(-2,5)

Hence,x=5 is the required equation of straight line .

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Step-by-step explanation:

Objective: Circle Theorems

The arcs add up to 360 and they are in proportion so

\(3x + 3x + 4x + 5x = 360\)

\(15x = 360\)

\(x = 24\)

So this means that Arc AB and BC measure is 72 each. Arc CD measure is 96 and Arc DA measures is 120.

Angle 1 measure is a inscribed angle of Arc CD.

So it measures

\( \frac{96}{2} = 48\)

Angle 2 is a inscribed angle of Arc AB so it measures

\( \frac{72}{2} = 36\)

Angle 3 is a inscribed angle of Arc DA.

\( \frac{120}{2} = 60\)

Angle 4 is a inscribed angle of Arc BC so it measures

\( \frac{72}{2} = 36\)

Angle 5 is formed by tangent line ED. Since D lies on the circumference, it also is tangent to point e so it also measures 90 degrees.

Angle 4 measures 32 so Angle 5 is it complement to Angle 4.

\(32 + x = 90\)

\(x = 58\)

Angle 6 is formed by two intersecting chrods

so it measures

\( \frac{1}{2} (120+ 72) = 96\)

Answer:

Left-most: (-5,0) Right-most: (3,0)

Step-by-step explanation:

Graph the equation and it would show where the x-intercepts are.

Hope this helped you! (:

Complete question :

The line plot shows the weights of packages of meat that members of a club bought. The meat will be mixed with vegetables to make stew for a club dinner. Each serving of the stew contains 1/4 pound of meat. How many servings of the stew can the club make?

Answer:

36 servings

Step-by-step explanation:

From the plot ; we take the sum of total weight of meat packages :

(5/8 * 2) + 6/8 + 1 + (9/8 * 3) + 10/8 + 11/8

10/8 + 6/8 + 8/8 + 27/8 + 10/8 + 11/8 = 72 / 8 = 9 meat packages

Each serving of meat = 1/4

Number of servings the club can make :

Total meat package / pound of meat per serving

(9 ÷ 1/4)

9 * 4/1

= 36 servings

Answer:

36 hope this help

Step-by-step explanation:

Maria is exhibiting the compulsive symptoms of obsessive-compulsive disorder (OCD), characterized by repetitive behaviors or rituals performed to reduce anxiety or prevent a feared outcome.

Obsessive-compulsive disorder (OCD) is a mental health disorder characterized by intrusive, unwanted thoughts (obsessions) and repetitive behaviors or mental acts (compulsions). These obsessions and compulsions can cause significant distress and interfere with daily functioning.

In Maria's case, her repetitive checking behavior, specifically ensuring that her kitchen stove is turned off, is a compulsive symptom of OCD. She feels compelled to perform this interest repeatedly to alleviate her fear and anxiety of her house burning down. The belief that not checking the stove will lead to a catastrophic outcome is a common feature of OCD, where individuals assign excessive significance to certain thoughts or actions.

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Answer:

52º

Step-by-step explanation:

Complementary angles are a set of angles that add up to 90º. Knowing this, we can find the value of x by setting the sum of these two angles equal to 90. For example:

3x + 25 + 5x - 7 = 90

8x + 18 = 90

8x = 72

x = 9

Now that we know our x value, we can find the measure of angle A. Simply plug in the value of x to the measurement of angle A, which is 3x + 25.

3(9) + 25 = 52º

Answer:

510

Step-by-step explanation:

4,590/9=510

Answer:3/2

Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

The answer is 54.23489

Step-by-step explanation:

Hope this helps

The surface area and volume of a cube with different edge length are

When a cube with edge length 4inches ,

Surface area = 96 square inches and Volume =64 cubic inches.

Cube dilated by scale factor 0.25 ,  

Surface area = 6 square inches and Volume =1 cubic inches.

The surface area of a cube is = 6 times the area of one face.

Each face of this cube has an area equals to

= (4 inches) x (4 inches)

= 16 square inches,

So the total surface area is,

Surface area

= 6 x 16 square inches

= 96 square inches

The volume of a cube =  length of one edge cubed.

Here, the edge length is 4 inches,

Volume

= (4 inches)^3

= 64 cubic inches

When a cube is dilated by a scale factor of 0.25, all of its edges are multiplied by 0.25.

This implies,

The edge length of the image cube is

0.25 x 4 inches = 1 inch.

Surface area of the image cube =  6 times the area of one face.

Each face of the image cube has an area of

= (1 inch) x (1 inch)

= 1 square inch,

So the total surface area is,

Surface area

= 6 x 1 square inch

= 6 square inches

Volume of the image cube = length of one edge cubed.

Here, the edge length is 1 inch,

Volume

= (1 inch)^3

= 1 cubic inch

Therefore, the surface area and volume for the given dimensions are

For edge length 4inches , Surface area = 96 square inches and Volume =64 cubic inches.

For scale factor 0.25 ,  Surface area = 6 square inches and Volume =1 cubic inches.

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Answer:

ANSWER

g=f

−1

f(g(x))=x

Differentiate w.r.t.x

f

′

(g(x))⋅g

′

(x)=1

∴

1+(g(x))

4

1

⋅g

′

(x)=1

g

′

(x)=1+[g(x)]

4

The probability of a core of the two odd number be 1/4.

A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.

The outcome of one die has no bearing on the outcome of the other since the two dice are independent.

In this instance, a complex event's probability is calculated by adding its component simple event probabilities.

Three odd and three even results occur from each roll of the dice. So, the probability of getting an odd number exists \($\frac{3}{6}=\frac{1}{2}$\)

The probability that this happens with both dice exists \($\frac{1}{2} \cdot \frac{1}{2}=\frac{1}{4}$\)

It is relatively simple to list the "excellent" possibilities in this situation because there are a total of 36 outcomes (all numbers from 1 to 6 for one die and the same for the other die). The positive results are

(1, 1), (1, 3), (1, 5)

(3, 1), (3, 3), (3, 5)

(5, 1), (5, 3), (5, 5)

And in fact, 9 good outcomes over 36 total outcomes means

\($\frac{9}{36}=\frac{1}{4}$$\)

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Answer:

4

Step-by-step explanation:

two-thirds = 2/3 (it's easier to write it out in number format)

2/3 = 4/6

So, there are 4 sixths in two-thirds.

Answer:

4 sixths

Step-by-step explanation:

Answer:

I think the answer is 832 but I'm not sure as I'm not the best at math.

Hope this helps anyhow! <33

Answer:

the answer I got is b=90

hope it helps

The optimal solution, obtained through graphical method, is: x₁ = 4, x₂ = 2, with the maximum value of Z = 80.

To solve the given linear programming problem graphically, we start by plotting the feasible region defined by the constraints:

Constraint 1: 10x₁ + 20x₂ ≤ 120

Constraint 2: 8x₁ + 8x₂ ≤ 80

Non-negativity constraint: x₁ ≥ 0, x₂ ≥ 0

The feasible region is the area of the graph that satisfies all the constraints.

Next, we calculate the objective function Z = 12x₁ + 16x₂. We plot the objective function as a line on the graph.

The optimal solution, which maximizes Z, is the point where the objective function line intersects the boundary of the feasible region.

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ways and answer in paper

Main Answer:The linear combination of v = (13/14)u1 + (2/7)u2 + (47/14)u3  

Supporting Question and Answer:

How can we express a vector as a linear combination of  vectors using a system of equations?

To express a vector as a linear combination of  vectors using a system of equations, we need to find the coefficients that multiply each given vector to obtain the desired vector. This can be done by setting up a system of equations, where each equation corresponds to the components of the vectors involved.

Body of the Solution:

(a) To show that the vectors u1 = (2, 0, 3), u2 = (-3, 0, 2), and u3 = (0, 7, 0) form an orthogonal basis for R^3, we need to demonstrate two conditions: orthogonality and linear independence.

u1 · u2 = (2)(-3) + (0)(0) + (3)(2) = -6 + 0 + 6 = 0

u1 · u3 = (2)(0) + (0)(7) + (3)(0) = 0 + 0 + 0 = 0

u2 · u3 = (-3)(0) + (0)(7) + (2)(0) = 0 + 0 + 0 = 0

Since the dot product of every pair of vectors is zero, they are orthogonal.

   2.Linear Independence: We need to show that the vectors u1, u2, and u3 are linearly independent, meaning that no vector can be written as a linear combination of the other vectors.

We can determine linear independence by forming a matrix with the vectors as its columns and performing row operations to check if the matrix can be reduced to the identity matrix.

[A | I] = [u1 | u2 | u3 | I] =

[2 -3 0 | 1 0 0]

[0 0 7 | 0 1 0]

[3 2 0 | 0 0 1]

Performing row operations:

R3 - (3/2)R1 -> R3

R1 <-> R2

[1 0 0 | -3/2 1 0]

[0 1 0 | 0 1 0]

[0 0 7 | 0 0 1]

Since we can obtain the identity matrix on the left side, the vectors u1, u2, and u3 are linearly independent.

Therefore, the vectors u1 = (2, 0, 3), u2 = (-3, 0, 2), and u3 = (0, 7, 0) form an orthogonal basis for R^3.

(b) To write v = (1, 2, 3) as a linear combination of u1, u2, and u3, we need to find the coefficients x, y, and z such that:

v = xu1 + yu2 + z*u3

Substituting the given vectors and coefficients:

(1, 2, 3) = x(2, 0, 3) + y(-3, 0, 2) + z(0, 7, 0)

Simplifying the equation component-wise:

1 = 2x - 3y

2 = 7y

3 = 3x + 2y

From the second equation, we can solve for y:

y = 2/7

Substituting y into the first equation:

1 = 2x - 3(2/7)

1 = 2x - 6/7

7 = 14x - 6

14x = 13

x = 13/14

Substituting the found values of x and y into the third equation

3 = 3(13/14) + 2(2/7)

3 = 39/14 + 4/7

3 = 39/14 + 8/14

3 = 47/14

Therefore, we have determined the values of x, y, and z as follows:

x = 13/14

y = 2/7

z = 47/14

Thus, we can write the vector v = (1, 2, 3) as a linear combination of u1 = (2, 0, 3), u2 = (-3, 0, 2), and u3 = (0, 7, 0) as:

v = (13/14)u1 + (2/7)u2 + (47/14)u3

Therefore, v can be expressed as a linear combination of the given vectors.

Final Answer:Therefore,the linear combination of v = (13/14)u1 + (2/7)u2 + (47/14)u3  

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The linear combination of v = (13/14)u1 + (2/7)u2 + (47/14)u3  

To express a vector as a linear combination of  vectors using a system of equations, we need to find the coefficients that multiply each given vector to obtain the desired vector. This can be done by setting up a system of equations, where each equation corresponds to the components of the vectors involved.

Body of the Solution:

(a) To show that the vectors u1 = (2, 0, 3), u2 = (-3, 0, 2), and u3 = (0, 7, 0) form an orthogonal basis for R^3, we need to demonstrate two conditions: orthogonality and linear independence.

Orthogonality: We need to show that each pair of vectors is orthogonal, meaning their dot product is zero.

u1 · u2 = (2)(-3) + (0)(0) + (3)(2) = -6 + 0 + 6 = 0

u1 · u3 = (2)(0) + (0)(7) + (3)(0) = 0 + 0 + 0 = 0

u2 · u3 = (-3)(0) + (0)(7) + (2)(0) = 0 + 0 + 0 = 0

Since the dot product of every pair of vectors is zero, they are orthogonal.

  2.Linear Independence: We need to show that the vectors u1, u2, and u3 are linearly independent, meaning that no vector can be written as a linear combination of the other vectors.

We can determine linear independence by forming a matrix with the vectors as its columns and performing row operations to check if the matrix can be reduced to the identity matrix.

[A | I] = [u1 | u2 | u3 | I] =

[2 -3 0 | 1 0 0]

[0 0 7 | 0 1 0]

[3 2 0 | 0 0 1]

Performing row operations:

R3 - (3/2)R1 -> R3

R1 <-> R2

[1 0 0 | -3/2 1 0]

[0 1 0 | 0 1 0]

[0 0 7 | 0 0 1]

Since we can obtain the identity matrix on the left side, the vectors u1, u2, and u3 are linearly independent.

Therefore, the vectors u1 = (2, 0, 3), u2 = (-3, 0, 2), and u3 = (0, 7, 0) form an orthogonal basis for R^3.

(b) To write v = (1, 2, 3) as a linear combination of u1, u2, and u3, we need to find the coefficients x, y, and z such that:

v = xu1 + yu2 + z*u3

Substituting the given vectors and coefficients:

(1, 2, 3) = x(2, 0, 3) + y(-3, 0, 2) + z(0, 7, 0)

Simplifying the equation component-wise:

1 = 2x - 3y

2 = 7y

3 = 3x + 2y

From the second equation, we can solve for y:

y = 2/7

Substituting y into the first equation:

1 = 2x - 3(2/7)

1 = 2x - 6/7

7 = 14x - 6

14x = 13

x = 13/14

Substituting the found values of x and y into the third equation

3 = 3(13/14) + 2(2/7)

3 = 39/14 + 4/7

3 = 39/14 + 8/14

3 = 47/14

Therefore, we have determined the values of x, y, and z as follows:

x = 13/14

y = 2/7

z = 47/14

Thus, we can write the vector v = (1, 2, 3) as a linear combination of u1 = (2, 0, 3), u2 = (-3, 0, 2), and u3 = (0, 7, 0) as:

v = (13/14)u1 + (2/7)u2 + (47/14)u3

Therefore, v can be expressed as a linear combination of the given vectors.

Therefore, the linear combination of v = (13/14)u1 + (2/7)u2 + (47/14)u3  

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Answer:

  B.  y > 3x -7

Step-by-step explanation:

We can choose the correct inequality based on the y-intercept and the shading.

The dashed line crosses the y-axis at approximately y=-7. This is the value of y when x=0. This observation eliminates choices D, E, F.

The shading on the graph is seen to be above and to the left of the line. This means the variables in relation to the inequality symbol must be ...

  y > ( ) . . . . eliminates choice A

and

  x < ( )  or  ( ) > x . . . . eliminates choice C, confirms choice B

The inequality that matches the graph is y > 3x -7.

__

Additional comment

For looking at shading, we are interested in the relation of the inequality symbol to a variable term with a positive coefficient. If the coefficient is negative, you can do either of ...

That is, if you have -3x < ( ), when considering shading, you can consider the relation x > ( ) with the inequality reversed, or you can consider ( ) < x, which has x on the other side of the inequality. Both of these tell you shading is right of the line, where x-values are greater than those on the line.