Select the correct answer.
Which expression gives the same result as
4
Σ (5(1/3)i)?
i=0

If he opened a grocery account at my bank with $150 and every week thereafter he withdraw $55 from the account to pay for groceries, then the equation of the line in the form y = mx+b that describes the grocery account balance is y = -55x+150

The balance in the bank account = $150

The amount he withdraw from the account for groceries = $55

Consider the number of week he had the account as x

y is the amount in the account

Then the equation will be

y = 150-55x

Rearrange the term and make the equation in the form y = mx+b

y = -55x+150

Hence, If he opened a grocery account at my bank with $150 and every week thereafter he withdraw $55 from the account to pay for groceries, then the equation of the line in the form y = mx+b that describes the grocery account balance is y = -55x+150

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Answer:

The average speed of the runner is 12.7 mph and 20.4 km/h

Step-by-step explanation:

The product of (1 + 3i)(1 – 3i) is a real number.

Complex Numbers in Math. Complex numbers are the numbers that are expressed in the form of a+ib where, a, b are real numbers and 'i' is an imaginary number called “iota”. The value of i = (√-1). For example, 2+3i is a complex number, where 2 is a real number (Re) and 3i is an imaginary number (Im).

We know that,

[tex]i^{2} = -1[/tex]

case A) [tex](1+3i)(6i)[/tex]

applying distributive property

[tex]6i+18i^{2}[/tex]

[tex]6i-18[/tex]

This is not a real number.

case B) (1+3i) (2-3i)

applying distributive property

[tex]2-3i+6i-9i^{2}[/tex]

[tex]11+3i[/tex]

This is also not a real number.

case C) [tex](1+3i) (1-3i)[/tex]

applying difference of square

[tex]1-9i^{2}[/tex]

1+9 = 10

This is a real number.

case D) [tex](1+3i) (3i)[/tex]

applying distributive property

[tex]3i+9i^{2}[/tex]

[tex]3i-9[/tex]

This is not a real number.

Hence, The product of (1 + 3i)(1 – 3i) is a real number

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answer is here

some drawing:

cool

∉343

Answer: Need a math question

Step-by-step explanation:  x3+y3+z3= ?

A function connects an input to an output. It is analogous to a machine with an input and an output. And the output is somehow related to the input.

Option c is Example for the function.

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An error in writing an equation of the line is to use 1 as the y intercept, or to use the negative inverse of the slope which gives you a perpendicular line, not a parallel line

For a line to be parallel, it means that the line must have the same slope, but a different y-intercept because If it has the same y intercept, it means that it is the same line.

Now, we are told that the line passes through the point (3, 4) and is parallel to the line y = 2x +1. Thus;

The slope; m = 2

The coefficient of the x term, when the equation is solved for y is;

y = mx + c is the standard equation in slope intercept form with c as the y intercept

Plug in the coordinate point to solve for c;

4 = 2(3) + c

c = 4 - 6

c = -2

Thus, we conclude that the parallel line through the given point is  gotten as; y = 2x - 2

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Answer:

The height is 71 feet.

Step-by-step explanation:

[tex]60h = 4260[/tex]

[tex]h = 71[/tex]

If the area of a rectangular sign is approximately 4260 square feet and the width of the sign is approximately 60 feet then, the height of the sign is approximately 71 feet.

To find the height of the given rectangular sign, let's put the given values in the formula for finding the area of a rectangle i.e.,

Area of rectangle = Height x Width

4260 = Height x 60

Solve the equation for the area of a rectangle where

Height (H) = Area of rectangle/Width

Height (H) = 4260/60

Height of the sign = 71 feet

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The rate of change of the linear function is the third option that is -3.

It is given in the question that the linear function passes through the points (-3,14) and (2,-1).

We have to find the rate of change of the function.

We know that,

The rate of change of a linear function is the slope of the function.

Slope of a line

The slope of a straight line between two points says (x1,y1) and (x2,y2) can be easily determined by finding the difference between the coordinates of the points. The slope is usually represented by the letter ‘m’.

Hence, slope of a line that passes through the points (-3,14) and (2,-1) is

(-1-14)/(2-(-3)) = -15/5 = -3.

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The correct option C. No extrema, is obtained for the given function.

For the given question;

The function is defined as ;

f(x) = 2/(3x-5)

First differentiate the function with respect to x using division rule.

f'(x) = -6/(3x - 5)²

Now, find the point of contraflexure for x by putting f'(x) equals to zero.

f'(x) = 0

-6/(3x - 5)² = 0

-6 = 0

But, -6 ≠ 0

As, x is getting eliminates, we don't have any point of contraflexure.

Thus,the will be no extrema for the given function.

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By using the definition of a polynomial in product form is described by y = - 0.8 · (x - 1)² · (x + 2)

According to algebra, polynomials are products of binomials of the form x - r, where r is a root of the polynomial. The product form of polynomials is described by the following formula:

p(x) = a · Π (x - r), for i = {1, 2, 3, n}, where n is the grade of the polynomial and a is the lead coefficient.

If we know that y(0) = - 1.6, r₁ = r₂ = 1 and r₃ = - 2, then the equation of the polynomial is:

- 1.6 = a · (0 - 1)² · (0 + 2)

- 1.6 = a · (- 1)² · 2

- 1.6 = 2 · a

a = - 0.8

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Answer:

y=-3/2x+4

Step-by-step explanation:

The expression 6⁻² can be written as -

6⁻² = 1/6²

6⁻² = 1/36

6⁻² = (1/6 x 1/6)

A mathematical expression is a combination of terms separated by mathematical operators. For example : 2x + 3y + 6. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have the following expression -

6⁻²

We can write the expression 6⁻² in the following possible ways -

6⁻² = 1/6²

6⁻² = 1/36

6⁻² = (1/6 x 1/6)

Therefore, the expression 6⁻² can be written as -

6⁻² = 1/6²

6⁻² = 1/36

6⁻² = (1/6 x 1/6)

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The inequality in slope intercept form is –y≥19x+11

What is slope intercept?

Slope intercept form is defined as the graph of linear equation y=mx+b where m and b as the y-intercept.

What is inequality?

Inequality is an equation that is used to show the non equal comparison of two or more numbers and variables.

Given inequality is 19x+y≤-11

To solve this inequality in y form, we will subtract 19x from both side, we get

y≤-11-19x

Now, we will take minus sign common,

-y≥19x+11

Hence, the required answer.

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All multiplications must also be the same if to add the number over and over again.(if 9* 5 was 45, then 9+9+9+9+9 must also be 45.

Answer: Any number multiplied by zero equals zero. 4x0=0

The value of the expression is 0.125

Numerical expressions are sets of numbers that undergo mathematical operations with a pre-established order of operations. Numerical expressions are sets of numbers that undergo mathematical operations with a pre-established order of operations.

The expression is

0.3(1/4 - 1) + 0.350.3(0.25-1) + 0.35

solve by using BODMAS0.3(-0.75) + 0.35= -0.225 + 0.35= 0.125

Hence the value of the expression is 0.125

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Answer:

Is it 6-1?

Step-by-step explanation:

Answer: 6-1

Step-by-step explanation:

is simplest form

Step-by-step explanation:

yes its important because we need to know the measurements of the side

Answer:

C

Step-by-step explanation:

1+3=4

4+3=7

7+3=10

Wheras if you try to multiply by 4 it works on the first one, but 4×4=16 not 7. If you add 10 to 1 you get 11, which is not the next number. And if you subtract 1-3=-2, which is on the wrong side of 0.

Answer:

ask your village people fowl

1 ÷ 3 is the scale factor that takes parallelogram H to parallelogram I.

If Parallelogram I is a scaled replica of Parallelogram H, then perhaps the figure in which every length in the initial estimate is multiplied by the exact number.

Scale factor = size of new shape ÷ size of the old shape.

The magnification ratio of a parallelogram I is significantly 3 times that of parallelogram H this ratio could be only assumed when the data is not given.

The polygon will be reduced if the magnification ratio would be between 0 and 1. The picture will be magnified if the zoom ratio is larger than one.

The scale factor refers to the ratio of the old thing's scale to the new object's scale. Although the size of these ratios varies, they are useful.

Use negative magnification to enlarge the picture. Whenever the scale factor is negative, the value diverges from the scale.

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The complete question is -

Parallelogram I is a scaled copy of parallelogram H. What scale factor takes parallelogram H to parallelogram I in the image?

The scaling factor that transforms parallelogram H into parallelogram I is 1/3.

If Parallelogram I is a scaled-down version of Parallelogram H, then it might be the result of multiplying each length in the initial estimate by a precise value.

Scale factor is equal to new shape's size minus old shape's size.

A parallelogram I's magnification ratio is noticeably three times greater than a parallelogram H's. Only in cases where no data is provided may this ratio be assumed.

If the magnification ratio is in the range between 0 and 1, the polygon will be smaller. If the zoom ratio exceeds one, the image will be enlarged. The scale factor is the ratio of the scale of the old thing to the scale of the new thing.These ratios are helpful despite the fact that their sizes differ.

Enlarge the image by applying negative magnification. The value deviates from the scale whenever the scale factor is negative.

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Answer:29

Step-by-step explanation:

3(3)^3+2(4)-6

3(9)+8-6

27+8-6

27+2

29

-24 ≤ 2x-10

⇒ -24 + 10 < 2x

⇒-14 < 2x

⇒ 2x < 14

⇒ x < 7

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Answer:

when you multiply the exponents, you add the numbers

so it'll now be y^5

The value of P(A|B) will be;

⇒ 0.6

What is mean by Probability?

The term probability refers to the likelihood of an event occurring.

Given that;

For the two events A and B;

⇒ P(A) = 0.60

⇒ P(B) = 0.40

And, P(B|A) = 0.60

Now,

Since, We know that;

⇒ P(A∪B) = P(A) + P(B) - P(A∩B)

Substitute all the values, we get;

⇒ P(A∪B) = 0.60 + 0.40 - P(A∩B)

And, P(A∩B) = P(A) P(B)

⇒  P(A∩B) = 0.60 × 0.40

⇒ P(A∩B) = 0.24

Hence,

⇒ P(A∪B) = 0.60 + 0.40 - P(A∩B)

⇒ P(A∪B) = 0.60 + 0.40 - 0.24

⇒ P(A∪B) = 0.76

Since, We know that the formula;

⇒  P(A|B) = P(A∩B) / P(B)

Substitute all the values we get;

⇒ P(A|B) = P(A∩B) / P(B)

⇒ P(A|B) = 0.24 / 0.40

⇒ P(A|B) = 0.6

Therefore,

The value of P(A|B) will be;

⇒ 0.6

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[tex]8x + 6 + 118 = 180 \\ 8x + 124 = 180 \\ 8x = 180 - 124 \\ 8x = 56 \\ \frac{8x}{8} = \frac{56}{8} \\ x = 7[/tex]

NOTE THAT DUE TO LACK OF LABELLING OF ANGLES IN THE DIAGRAM I COULDN'T GIVE YOU BRIEF EXPLANATION BUT I HOPE YOU UNDERSTAND.

One angle's measurement is 11 times that of another. if the two angles supplementary one another. The measure of the angles area one is 165° and other angle is 15°.

Given that,

One angle's measurement is 11 times that of another. if the two angles supplementary one another.

We have to determine the angles' measurements.

The word "supplementary" refers to two angles coming together to form a straight angle. It indicates that when two angles sum up to 180 degrees, they are said to be supplementary angles. If two angles complement one another

It has an acute angle on one side and an obtuse angle on the other.

The angles are both right angles.

So, It follows that A + B = 180°.

Angle A is 11 times angle B means

A=11B

We get,

11B+B=180

12B=180

B=180/12

B=15°

Then angle A is

A=11×15

A=165°

Therefore, The measure of the angles area one is 165° and other angle is 15°.

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Answer: 55 cm

Step-by-step explanation:

a^2 + b^2 = c^2

X^2 + 48^2 = 73^2

X^2 + 2,304 = 5,329

X^2 = 3,025

X = 55

Hello!

We have the function below:

The first step is to identify the coefficients a, b and c:

• a = -2

• b = 5

• c = -8

Just by analyzing these coefficients, we can say that the concavity of the parabola will be facing downwards because the coefficient a is negative

As we know the coefficients, let's replace them in the formula:

Obs: as we obtained a negative square root, we can stop this step here. It means that

So, the vertex is at the point (x, y) = (1.25, -4.875).

The axis of symmetry is x = 5/4 or also x = 1.25.

Look at the graph below:

Note: if you solve this function when x = 0, you will obtain one interception in the y-axis, look:

So, the y-intercept is at (x, y) = (0, -8) as you can see at the graph.

Answer:

200

Step-by-step explanation:

Multiplying by 5, we get 200 cars can be produced in 40 hours.

Remember that

csc k=1/sin k

and

sin k=55/73

therefore

csc k=1/(55/73)