What is 100 - 10 x 3

Answer:

ç

Step-by-step explanation:

The equation that represents the situation is x/2 - 3 = 79, and the number of points that scored by Bulls is 164 points

The total points scored by Miami Heat = 79 points

This was 3 less than half the point the Chicago Bull scored.

Consider the Chicago Bull scored x points

Then the equation will be

x/2 - 3 = 79

Move 3 to the right hand side of the equation

x/2 = 79 + 3

Add the numbers

x/2 = 82

Move the 2 to the right hand side of the equation

x = 82 × 2

Multiply the numbers

x = 164 points

Therefore, the Bull scored 164 points

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Answer:

2.5%

Step-by-step explanation:

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Truss bridges differ from other bridge designs in their use of triangular units

Truss bridges are characterized by their open framework of interlocking triangles, which creates a rigid and strong structure.

Unlike other bridge designs, truss bridges do not require massive and solid supports, as the strength and stability of the bridge comes from the distribution of weight through the trusses.

This makes truss bridges lighter and less expensive to construct than other bridge designs.

Truss bridges were first built in the early 19th century and were often constructed of wood.

However, modern truss bridges are typically made of steel, which is stronger and more durable.

Truss bridges can be used to span long distances and are often used for railroad and highway crossings, pedestrian bridges, and other applications where a strong and economical bridge is needed.

So, Truss bridges differ from other bridge designs in their use of triangular units, called trusses, to distribute weight and support the structure.

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Answer:

I'll try here: 23

Step-by-step explanation:

X = Sam's age.

X-10 = Ted's age

   X + X -10 = 56

    2X -10 =56

    2x = 66

      X = 33 , Sam's age

      33 - 10 = 23  Ted's age

The matrix of \(t\) relative to the basis \(b'\) is \(A' = \begin{bmatrix} -9 & 7 \\ -37 & 43 \end{bmatrix}\).

\(\textbf{To find the matrix of } t \textbf{ relative to the basis } b', \textbf{we have to follow some steps. The steps are described below:}\)

First, we have to find the images of basis vectors under the transformation \(t\). \(t(-1,1) = (-9,7)\) and \(t(1,-5) = (-37,43)\).

Represent the image vectors of the basis in the standard basis. We use these vectors as columns in the matrix of \(t\) in the basis \(b'\).

\((-9,7) = -9(1,0) + 7(0,1) = (-9,7) = -9(-1,1) + 7(1,-5)\)

\((-37,43) = -37(1,0) + 43(0,1) = (-37,43) = -37(-1,1) + 43(1,-5)\)

Hence, we can write the following equation: \(A[x]_{b'} = [x]_S\)

Where \(A[x]_{b'}\) is the main answer in the form of a matrix, and \([x]_S\) is the coordinate of \([x]_{b'}\) with respect to the standard basis.

Now, we will write the equations with the coordinates of the basis vectors of \(b'\).

\(A[1,0] = [-9, -37]\) and \(A[0,1] = [7, 43]\)

Now we will write the matrix of \(A\) as follows:

\(A = \begin{bmatrix} -9 & 7 \\ -37 & 43 \end{bmatrix}\)

Thus, the matrix of \(t\) relative to the basis \(b'\) is \(A' = \begin{bmatrix} -9 & 7 \\ -37 & 43 \end{bmatrix}\).

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Answer:wow

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

i am pretty sure i could be wrong

The rate of change means that the designer hourly charge is $55 per hour

Linear equation

A linear equation is in the form:

y = mx + b

Where y, x are variables, m is the rate of change and b is the initial value of y.

Let y represent the total cost of hiring the designer after x hours.

From the table, using the point (0, 125) and (15, 950):

The rate of change means that the designer hourly charge is $55 per hour

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Answer: Im not very good at this but from what i do know, a shuold be inverses and b isnt. im probaly wrong so dont take my word for it

Step-by-step explanation:

The number of terms of the arithmetic sequence with a1= -3, d= 2, Sn= 21 is given as follows:

7 terms.

An arithmetic sequence is a sequence of values in which the difference between consecutive terms is constant and is called common difference d.

The nth term of an arithmetic sequence is given by the explicit formula presented as follows:

\(a_n = a_1 + (n - 1)d\)

\(a_1\) is the first term of the arithmetic sequence.

The sum of the first n terms is given by the equation presented as follows:

\(S_n = \frac{n(a_1 + a_n)}{2}\)

The nth term of the sequence for this problem is given as follows:

\(a_n = -3 + 2(n - 1)\)

\(a_n = -5 + 2n\)

Considering the sum of 21, the number of terms is obtained as follows:

42 = n(-3 - 5 + 2n)

2n² - 8n - 42 = 0

n² - 4n - 21 = 0.

(n - 7)(n + 3) = 0.

The positive root, as the number of terms must be positive, is given as follows:

n - 7 = 0

n = 7.

The complete question is:

"Obtain the number of terms of the arithmetic sequence with a1= -3, d= 2 and Sn= 21"

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The equation x² + 4x + 9 = 0 are complex numbers: x = -2 + i√5 and x = -2 - i√5.

To find the solutions for the equation x² + 4x + 9 = 0, we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

Comparing this equation with the given equation x² + 4x + 9 = 0, we can see that a = 1, b = 4, and c = 9.

Plugging in these values into the quadratic formula, we have:

x = (-4 ± √(4² - 4(1)(9))) / (2(1))

x = (-4 ± √(16 - 36)) / 2

x = (-4 ± √(-20)) / 2

Since the value inside the square root is negative, we know that the solutions will involve complex numbers. Simplifying further, we have:

x = (-4 ± i√20) / 2

x = (-4 ± 2i√5) / 2

Simplifying the expression by dividing both the numerator and denominator by 2, we get:

x = -2 ± i√5

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There are 15 cups of olive oil left in the can after making the 4 batches of the recipe.

We must change the provided measurements into a reliable unit. First, let's convert a gallon to cups.

1 gallon is equivalent to 16 cups.

Let's now determine how much olive oil was used in total for the recipe's 4 batches:

Amount of olive oil used = 4 batches * 2 fluid ounces per batch = 8 fluid ounces.

We can convert the quantity of olive oil used to cups because 1 cup is equal to 8 fluid ounces:

Amount of olive oil used = 8 fluid ounces / 8 = 1 cup.

To find the amount of olive oil left in the can, we subtract the amount used from the initial amount:

Amount of olive oil left = Initial amount - Amount used = 1 gallon - 1 cup.

However, we need to convert the gallon to cups to ensure consistent units:

1 gallon = 16 cups

Amount of olive oil left = 16 cups - 1 cup = 15 cups.

Therefore, there are 15 cups of olive oil left in the can after making the 4 batches of the recipe.

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the picture below is more or less some quick mockup of what that might be, and yes, 2 solutions or zeros is the bare minimum, because we know only 5 points on this continuous line, but it could have jumped a few times before going forwards and we are not privy to those points.

well, we can say that

f(x) has more than one zero

f(x) has exactly two zeros

I think within the circumstance both are acceptable, exactly 2 zeros is also acceptable, but is not exclusively the only valid choice, if any we could say "exactly 2 zeros" is a subset of the superset "more than one zero".

kinda like saying Sandra has Felines and she also has 3 cats, well, 3 cats are an exact number, but the plural Felines contains them, so both statements are equally valid, one is more general than the other, is all

Answer:

4+1+4+g=36

g=27

dg=32

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

DE : EF : FG = 4 : 1 : 4

DG = 36

DG = DE + EF + FG

-> 4x + x + 4x = 36

9x = 36

x = 4

so EG = EF + FG

= x + 4x

= 5x

= 20

Answer:

Angles are named in two ways. ... Right angles are 90 degrees. Acute angles are less than 90 degrees. Obtuse angles are greater than 90 degrees, but less than 180 degrees, which is a straight angle, or a straight line.

Step-by-step explanation:

∠MKL and ∠LKM

Anwser: 41°

Okay so every triangle is 180° degrees in total.

We need to find the angle of x in the triangle BDC.

We know that the angle of x is 180 - ( x + 15)

We also have another triangle named BAD

Which angles are 90 + 56 + x

the angle of D in the triangle BDC is 180 -58 = 124

So 124 + 15 = 139

180 - 139 = 41

Answer:

The answer is12 4/11

Step-by-step explanation:

4+7=11 7/11+8/11

= (7+8)/11

= 15/11

= 1 4/11

=11+1 4/11

=12 4/11

The domain of g(x) is all real numbers, and the range is (61, ∞) and the range is (61, ∞).

The domain of a function is the set of all possible input values for which the function is defined, while the range is the set of all possible output values.

For the given function g(x) = -1/4 (x−17)² + 61, the domain is all real numbers since there are no restrictions on the input values.

To find the range, we can use the fact that the vertex of the parabola is at (17, 61) and the coefficient of the squared term is negative, indicating a downward opening parabola.

Thus, the maximum value of the function occurs at the vertex and is 61, which is also the minimum possible value. Therefore, the range is (61, ∞).

In summary, the domain of g(x) is all real numbers, and the range is (61, ∞).

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at initial the number of dogs were , 18 dogs

final number of dogs is 18 - 6 = 12

so the percentage change is

so the change is 33.33%.

Answer:

x=17

Step-by-step explanation:

Answer:

FM = 11x - 26.5

Step-by-step explanation:

FM + 10.9 =11x - 15.6

FM = 11x - 15.6 - 10.9

FM = 11x - 26.5

The table representing the relationship between hours of lawn care and the amount of money the company charges is:

8 $220

10 $275

12 $330

14 $385.

Equations are mathematical expressions with two algebraic expressions flanking the equals (=) symbol on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS (left hand side equals right hand side) is the most widely accepted theorem.

Let x be the charge of lawn care for 1 hour.

Given, charge for 4 hours of lawn care =$110

So, x= Amount charged/ Hours of lawn care

x=110/4

x=27.5

Now, the company charges $27.5 for 1 hour of lawn care.

So now we can find the amount charged by the company for

"y" no. of hours by using the equation. x × y = z

Here x, y and z are variables, where x is the charge of lawn care for 1 hour. y is the number of hours of lawn care and z is the total amount

charged by the company.

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Answer:

20

Step-by-step explanation:

20 should be the answer I guess

Answer:

4.95

Step-by-step explanation:

1/(1/9+1/11)

Round the total present value to 2 decimal places as requested in the question.

To find the value today of a 15-year annuity, we can use the present value of an ordinary annuity formula. The formula is given by:

PV = C * [(1 - (1 + r)^(-n)) / r]

Where:

PV = Present Value (value today)

C = Cash flow per period ($650 per year)

r = Interest rate per period

n = Number of periods (15 years)

In this case, we have two interest rates: 11% for Years 1 through 5, and 13% thereafter. Let's calculate the present value separately for the two periods and then sum them up.

First, let's calculate the present value for the first five years (at 11% interest rate).

PV1 = C * [(1 - (1 + r)^(-n)) / r]

= $650 * [(1 - (1 + 0.11)^(-5)) / 0.11]

Next, let's calculate the present value for the remaining ten years (at 13% interest rate).

PV2 = C * [(1 - (1 + r)^(-n)) / r]

= $650 * [(1 - (1 + 0.13)^(-10)) / 0.13]

Now, we can calculate the total present value by summing PV1 and PV2.

Total PV = PV1 + PV2

Calculate PV1:

PV1 = $650 * [(1 - (1 + 0.11)^(-5)) / 0.11]

= $650 * [(1 - 1.11^(-5)) / 0.11]

Calculate PV2:

PV2 = $650 * [(1 - (1 + 0.13)^(-10)) / 0.13]

= $650 * [(1 - 1.13^(-10)) / 0.13]

Calculate the total present value:

Total PV = PV1 + PV2

Finally, round the total present value to 2 decimal places as requested in the question.

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A′(2, 1), B′(6, 1), and C′(2, 5) are the image's positions as a result of moving the triangular 6 units to the right.

The order of the numbers is always latitude first, semicolon after which is followed by longitude. For instance, New York City is located approximately at 40°N and 74°W in terms of latitude and longitude. The approximate coordinates for Sydney are 34°S and 150°E. When using a chart or globe, your longitude as well as latitude won't be precisely accurate.

To translate a point (x, y) to the right by 6 units, we add 6 to the x-coordinate.

So, the image of vertex A(-8, 1) would be A'(-8 + 6, 1) = A'(-2, 1).

Similarly, the image of vertex B(0, 1) would be B'(0 + 6, 1) = B'(6, 1).

And, the image of vertex C(-4, 5) would be C'(-4 + 6, 5) = C'(2, 5).

Therefore, the coordinates of the image after translating the triangle 6 units to the right are:

A′(−2, 1), B′(6, 1), C′(2, 5).

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The value of the variables are y=8, left side=16, and right side=16.

What are variables?

In mathematics, a variable is a symbol or letter that represents a value or a quantity that can vary or change. Variables are often used in mathematical expressions, equations, and formulas to represent unknown values or values that can take different values depending on the context.

We know that opposite sides of a rectangle are equal in length, so we can set up the following equation:

2y + 4 = 3y - 4

Simplifying this equation, we get:

8 = y

Now that we know the value of y, we can substitute it back into the expressions for the left and right sides:

Left side = 2y = 2(8) = 16

Right side = y + 8 = 8 + 8 = 16

Therefore, the value of the variables are y=8, left side=16, and right side=16.

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