How many solutions does the following equation have?
5x+8 – 7x = -4x +1

The volume of the solid s solved to be 216 cubic m

Volume is calculated using the three dimensions, hence to talk about volume we have a 3 dimensional perspective.

The formula for volume is given as the product of length, width, and depth or thickness.

For the solid we divide into two and solve for the volumes separately then add together

Section 1

= 10 x 6 x 2

= 120 cubic m

Section 2

= 6 x 4 x (6 - 2)

= 96 cubic m

Volume of the solid

= 96 + 120

= 216 cubic m

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Answer:

-650ft

Step-by-step explanation:

I took a test with a question like that

Answer:

Point A

Step-by-step explanation:

See attached worksheet.

Slope is  $0.15 of the equation of cost  C=$0.15t+$35.00.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Given that A cell phone company uses the equation C=$0.15t+$35.00

C is the total cost for a month of service.

t is the number of text messages.

We have to find the slope of the equation.

slope is 0.15 and 35.00 is the y intercept of the equation given.

Hence, slope is  $0.15 of the equation of cost  C=$0.15t+$35.00.

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Answer:

∠8 = 125°

Step-by-step explanation:

Angle 8 is equal to the first angle of the diagram

Hope this helps.

Points M and N will be located on the number line as:

M is at -15

N is at 3.

Here, we have,

to Find the Coordinate of a Point on a Number Line:

The number line gives us an idea of how real numbers are ordered, where we have the negative numbers to the left, and the positive numbers to the right.

The distance between two points on a number line is the number of units between both points.

Given that point L is at -6 on a number line, thus:

Point M is 9 units away from point L = -6 - 9 = -15

Point N is 9 units away from point L = -6 + 9 = 3

Therefore, points M and N will be located on the number line as:

M is at -15

N is at 3.

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The smallest number a such that A + BB is regular for all B > a can be determined by finding the eigenvalues of the matrix A. The value of a will be greater than or equal to the largest eigenvalue of A.

A matrix A is regular if it is non-singular, meaning it has a non-zero determinant. We can consider the expression A + BB as a sum of two matrices. To ensure A + BB is regular for all B > a, we need to find the smallest value of a such that A + BB remains non-singular. One way to check for singularity is by examining the eigenvalues of the matrix A. If the eigenvalues of A are all positive, it means that A is positive definite and A + BB will remain non-singular for all B. In this case, the smallest number a can be taken as zero. However, if A has negative eigenvalues, we need to choose a value of a greater than or equal to the absolute value of the largest eigenvalue of A. This ensures that A + BB remains non-singular for all B > a.

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Answer:

It should be y=2x. as it doesn’t sound like there is a y intercept

Step-by-step explanation:

140 pounds is equal to approximately 63.5 kilograms. Pounds and kilograms are units of measurement for weight, with pounds being part of the imperial system and kilograms part of the metric system.

140 pounds is a unit of weight that is part of the imperial system of units. This unit of measurement is widely used in countries such as the United States. To convert pounds to kilograms, you can use the formula: lb/2.20462 = kg. In this case, 140 pounds is equal to approximately 63.5 kilograms.

Kilograms, on the other hand, is part of the metric system of units and is widely used around the world, particularly in scientific and medical applications. When converting between units of measurement, it is important to be precise and accurate to ensure that you obtain accurate results. In many cases, you can use conversion tools such as calculators or charts to convert between units of measurement.

However, it is also important to understand the basic conversion formulas so that you can perform the calculations manually if necessary. It's essential to be aware of the difference between imperial and metric systems of units, especially when working with measurements or data.

Knowing both systems allows for better communication and understanding when working with people from different countries or backgrounds.

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Answer:

AB = PQ

Step-by-step explanation:

From what I learned in math last year, functions like these are equivalent by letter order. For example, A would be the same as Q in this case. That being said, AB is equivalent to PQ.

Hope this helps!

The properties used by Elizabeth to solve equation are mentioned in option A,D,E and F.

These characteristics make it possible to modify equations while maintaining their consistency, which eventually aids in identifying the variable and the equation's solution.

In given steps to the solution of equation,

\(\frac{3(x-2)}{4} -5= -8\)

\(\frac{3(x-2)}{4}= -3\)        (Addition property of equality)

\({3(x-2)}= -12\)   (Multiplication property of equality)

\(3x-6=-12\)      (Distributive property)

\(3x=-6\)

\(x=-2\)               ( Division property of equality)

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Answer:

12.60.

Step-by-step explanation:

12.00 × 5%=.6

,6 + 12.00= 12.60

Answer:

2/3

Step-by-step explanation:

You go over 2 and down 3

Answer:

x>=9

Step-by-step explanation:

so, we can plot this on a number line

the point at 9 is a solid dot, since brackets (not parenthasis) indicates that we including the number. the shaded part of the line extends all the way to positive infinity. the shaded part means that it is a solution, while the un-shaded parts aren't solutions to [9,infinity) it is x>=9 and not x>9 because 9 is included.

x>=9 is the answer

*figure of the face of each stone is shown on the attachment below

Answer:

66 square inches

Step-by-step explanation:

Area of the trapezoid = ½(a + b) × h

Where,

a = 14 inches

b = 8 inches

h = 6 inches

Plug in the values into the trapezoid area formula

Area of the trapezoid = ½(14 + 8) × 6

= ½(22) × 6

= 11 × 6

Area of the trapezoid = 66 square inches

One of the properties of an equilateral triangle is that all the sides are equal

From the statement given, each of the lengths of the triangle is at most 9 feet long means that each of the lengths is less than or equal to 9 feet

This can be represented mathematically as

The perimeter of an equilateral triangle is the addition of the three equal lengths i.e.

If x represents the perimeter, then

Answer:

∠ 1 = 41°

Step-by-step explanation:

Vertical angles are congruent, thus

10x - 9 = 6x + 11 ( subtract 6x from both sides )

4x - 9 = 11 ( add 9 to both sides )

4x = 20 ( divide both sides by 4 )

x = 5

Thus

∠ 1 = 6x + 11 = 6(5) + 11 = 30 + 11 = 41°

Answer:

A -1

Step-by-step explanation:

The coefficient is the number in front of a variable. since there isn't a number we can conclude that the y is only there once. There is 1 (one) y. Since it is subtracting in front of the coefficient, we can determine it is taking one away, or -1. So 6-y+3 is 6-1y+3.

Step-by-step explanation:

is the 9 in power ?

post a pic of the problem it will be easier to help you without a mistake

To find the differential equation for a family of curves, we need to find an equation that relates the variables involved in the curves. For example, consider the family of curves given by:

y = mx + c

where m and c are constants. To find the differential equation for this family of curves, we can take the derivative of both sides with respect to x:

dy/dx = m

This is the differential equation for the family of curves.

To find the family of orthogonal trajectories, we need to find a new family of curves that intersect the original family of curves at right angles. We can use the fact that the product of the slopes of two perpendicular lines is -1. So, if the differential equation for the original family of curves is:

dy/dx = f(x, y)

then the differential equation for the family of orthogonal trajectories is:

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

To find a specific orthogonal trajectory, we need to solve this differential equation for y as a function of x.

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Answer:

5x +2y =38

5(6) +2y = 38

30 +2y= 38

2y= 8

y= 4

(6, 4)

5(0) +2y =38

2y= 38

y= 19

(0,19)

5(-2) +2y= 38

-10 +2y =38

2y= 48

y=24

(-2,24)

The required function that gives miles driven in t hours will be [Distance=42×t].

So, the formula for distance is:

Distance =  s × t

Where s is speed and t refers to time.

So, the functions that give miles driven in t hours will be:

Distance =  s × t

Distance =  42 × t

Therefore, the required function that gives miles driven in t hours will be [Distance=42×t].

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Theta could be equal to 30 degrees or π/6 radians, but there are other angles that also satisfy the equation tan theta = √3/3 due to the periodic nature of the tangent function.

The tangent of an angle is defined as the ratio of the length of the opposite side to the length of the adjacent side of a right triangle. In this case, we are given that tan theta = √3/3.

We can use the special triangles to determine which angles have a tangent equal to √3/3. The smallest positive angle that satisfies this condition is 30 degrees or π/6 radians. This can be seen in the 30-60-90 triangle, where the tangent of the 30-degree angle is equal to the length of the opposite side (which is 1/2) divided by the length of the adjacent side (which is √3/2), which simplifies to √3/3.

However, since the tangent function has a period of 180 degrees or π radians, there are other angles that also satisfy this condition. For example, 210 degrees or 7π/6 radians is another possible solution, since its reference angle (measured from the x-axis) is 30 degrees or π/6 radians, and the tangent function is negative in the third quadrant.

In summary, theta could be equal to 30 degrees or π/6 radians, but there are other angles that also satisfy the equation tan theta = √3/3 due to the periodic nature of the tangent function.

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Bicycle: 129

Helmet: 39

129 + 39 = 168

Convert 3% to a decimal:

3 / 100 = .03

Multiply the decimal by the total:

168 * .03 = $5.04

This means that the tax was $5.04 + $168 for both items which is $173.04.

I hope this helps! :)

Amount pay by Marcus is $173.04

Given:

Cost of bicycle = $129

Cost of helmet = $39

Sales tax = 3% = 0.03

Find:

Amount pay by Marcus

Computation:

Amount pay by Marcus = [1 + Sales tax][Cost of bicycle + Cost of helmet]

Amount pay by Marcus = [1 + 3%][129 + 39]

Amount pay by Marcus = [1.03][168]

Amount pay by Marcus = $173.04

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Answer:

3√(-2a)^4

Step-by-step explanation:

or If u want to further simplify distribute the power 4 onto the -2 and a and it will become 3rd root of -8a^4

The output changes from code segment 1 to code segment 2 based on which integers are included or excluded from the sum.

Code segment 1 prints the sum of the integers from 1 through 30, inclusive. This means that it adds up all the integers from 1 to 30, including both 1 and 30, and prints their sum. Code segment 2 likely changes the output by either excluding or including certain integers in the sum.
If code segment 2 excludes certain integers, then the sum printed would be smaller than the sum printed in code segment 1. For example, if code segment 2 excludes the integer 15, then the sum would be the sum of all integers from 1 to 14, and then from 16 to 30, which is a smaller sum than the sum of all integers from 1 to 30.
On the other hand, if code segment 2 includes additional integers, then the sum printed would be larger than the sum printed in code segment 1. For example, if code segment 2 includes negative integers, then the sum would include the sum of all negative integers from -30 to -1, in addition to the sum of all positive integers from 1 to 30.
Therefore, the output changes from code segment 1 to code segment 2 based on which integers are included or excluded from the sum.

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That a full cut round brilliant diamond with a 6.50 mm girdle diameter typically weighs around 1.00 carat.

carat weight is determined by a combination of a diamond's size and density. A diamond's size is measured by its diameter, which is the distance across the widest part of the diamond, known as the girdle. Therefore, a diamond with a larger girdle diameter will generally weigh more than a diamond with a smaller diameter, assuming all other factors are equal.

the weight of a diamond can be estimated based on its girdle diameter, and a full-cut round brilliant diamond with a 6.50 mm girdle diameter typically weighs around 1.00 carat. However, it's important to note that other factors, such as depth, cut, and clarity, can also affect a diamond's weight and value.

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Based on the dimensions of the triangular flower bed, the cost of the border will be $70.

First, you need to find the total length of the triangular flower bed to find out how much thin metal border is needed.

This length is:

= 7 feet + 6 feet + 9 feet

= 22 feet

Then convert these to yards because the cost of the thin metal border wall is in yards. Every yard is about 3 feet so 3 feet is 1/3 yeards.

If you have 22 feet therefore, the number of yards is:
= 22 x 1/3

= 22 / 3

= 7.33 yards

Only whole numbers of yards can be bought so we round this up to 8 yards.

The cost of the border would be:

= Number of yards x Cost per yard

= 8 x 8.75

=  $70

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