Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.

There are three solutions to the congruence x+13=55 (mod 34).

Two figures are considered to be 'congruent' if they can be put exactly over each other. When you set one slice of bread on top of the other, you'll see that they're both the same shape and size. The phrase "congruent" refers to having exactly the same form and dimension. When two things or forms superimpose on each other, they are said to be congruent. Their shapes and sizes are identical. Line segments with the same length and angles of the same measure are congruent in the case of geometric forms.

Here,

something equaling 55 (mod 34) is unusual to say the least as 55 mod 34 = 21

do you mean x+13=21 (mod 34) ?

clearly x = 8 + 34k which gives 8, 42, 76 begin less than 100

The congruence x+13=55 (mod 34) has three solutions.

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Answer:

6.96cm^2

Step-by-step explanation:

Area of triangle:

Base*height/2

5.8*2.4/2

Area = 6.96cm^2

Answer:

the answer is c

Step-by-step explanation:

when you look for the area you multiply so its c

Answer:

by using 1 to divide the value

Step-by-step explanation:

the inverse of 5/8 is 8/5.

Answer:

1022

Step-by-step explanation:

total of eggs

= 53 × 24

= 1272

the good eggs

= 1272 - 250

= 1022

Answer:

K = 180 - 45 = 135

J = 180  - 92 =88

Step-by-step explanation:

K = 180 - 45 = 135

J = 180  - 92 =88

The y-intercept of the quadratic function f(x) = (x - 6)(x + 2) is -12.

The y-intercept of a quadratic function is the point at which the graph of the function crosses the y-axis. This means that when x = 0, the value of y is equal to the y-intercept. In the case of the function f(x) = (x - 6)(x + 2), when x = 0, the value of y is equal to -12. This means that the y-intercept of the function is -12. To find the y-intercept, we can also substitute 0 for x in the equation, which would give us 0 = (0 - 6)(0 + 2), which simplifies to 0 = -12, and thus the y-intercept is -12.

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Answer: 347

Step-by-step explanation:

Answer:468

Step-by-step explanation:cause of the max mark is 650 /100=6.5 (1%)

then 6.5*72=468

Answer:

Step-by-step explanation:

8/40

The correct answer is (A). Of the 40 individuals that said that “over” is the correct way to install a roll of toilet paper, 8 were custodians, so the probability is 8/40.

In word variation, we can write as;

⇒ In the equation, A = C + Kx, if K is a nonzero constant and C = 0, then you have the function A = Kx, which is called a direct variation.

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

We have to given that;

The equation is,

⇒ A = C + Kx

Now, We know that;

The direct variation is of the form of y = kx.

Here, The equation is,

⇒ A = C + Kx

Hence, Its words variation is written as;

In the equation, A = C + Kx,

if K is a nonzero constant and C = 0, then you have the function A = Kx, which is called a direct variation.

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Answer:

i am pretty sure the answer is d.

Step-by-step explanation:

let me know if this is wrong

Step-by-step explanation:

(1). x-intercept: Put y = 0 in the equation y = 2x - 6 and solve for x. The x-intercept is 3.

y-intercept: Put x = 0 in the equation y = 2x - 6 and solve for y. The y-intercept is -6.

(2). x-intercept: Put y = 0 in the equation y = x - 7 and solve for x. The x-intercept is 7.

y-intercept: Put x = 0 in the equation y = x - 7 and solve for y. The y-intercept is -7

(3). x-intercept: Put y = 0 in the equation y = (3/2)x - 9 and solve for x. The x-intercept is -6.

y-intercept: Put x = 0 in the equation y = (3/2)x -9 and solve for y. The y-intercept is -9.

(4). x-intercept: Put y = 0 in the equation y = (-1/4)x + 1 and solve for x. The x-intercept is -4.

y-intercept: Put x = 0 in the equation y = (-1/4)x + 1 and solve for y. The y-intercept is 1.

(5). x-intercept: Put y = 0 in the equation -x + y = -5 and solve for x. The x-intercept is 5.

y-intercept: Put x = 0 in the equation -x + y = -5 and solve for y. The y-intercept is -5.

(6). x-intercept: Put y = 0 in the equation x + 2y = -14 and solve for x. The x-intercept is -14.

y-intercept: Put x = 0 in the equation x + 2y = -14 and solve for y. The y-intercept is -7.

(7). x-intercept: Put y = 0 in the equation 3x - y = -3 and solve for x. The x-intercept is -1.

y-intercept: Put x = 0 in the equation 3x - y = -3 and solve for y. The y-intercept is 3.

(8). x-intercept: Put y = 0 in the equation 5x + 3y = 15 and solve for x. The x-intercept is 3.

y-intercept: Put x = 0 in the equation 5x + 3y = 15 and solve for y. The y-intercept is 5.

The population of bacteria in the culture after 15 hours, to the nearest whole number would be 1285235

A culture of bacteria has an initial population of 7100 bacteria and doubles every 2 hours.

Given that,

P_t = P_0 * 2^(t/d) , which refers to the formula for the calculation of the number of bacterial cell in a population.

In the given formula, P_t is the population after t hours, P_0 is the initial population, t is the time in hours and d is the doubling time in hours,

Therefore,

P_0 = 7100

d = 2

t = 15

so,

P_15 = 7100 * 2^(15/2) = 7100 * 181.019= 1285234.9 which is nearly equal to 1285235

A culture of bacteria has an initial population of 7100 bacteria and doubles every 2 hours, the population of bacteria in the culture after 15 hours, to the nearest whole number would be 1285235

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The relationship between altitude and boiling point is given below.

What is altitude?
Altitude is the height above sea level. It is usually measured with a barometer or GPS satellite. Altitude can be used to describe the height of an airplane, a mountain, or even the position of a satellite in space. Altitude can also be used to measure how high a person is standing on Earth. Altitude can also be used to compare the relative heights of two different points on Earth. Altitude is an important factor when flying, as it can determine air pressure, air temperature, and wind speed.

Sea Level 212°F
1,000 ft. 211°F
2,000 ft. 210°F
3,000 ft. 209°F
4,000 ft. 208°F
5,000 ft. 207°F
6,000 ft. 206°F
7,000 ft. 205°F
8,000 ft. 204°F
9,000 ft. 203°F
10,000 ft. 202°F

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The product of the two polynomials is (8x³)(4x⁷) = 32x¹⁰.

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Answer:

47°

Step-by-step explanation:

(180 - 86) / 2 = measure of each congruent angle

94/2 = 47

The values of x and y in the Simultaneous equation are 4 and 30 respectively

Simultaneous equations are two or more algebraic equations that share variables e.g. x and y . They are called simultaneous equations because the equations are solved at the same time. For example, below are some simultaneous equations: 2x + 4y = 14 and 4x − 4y = 4.

y = -5x + 50 equation 1

y = 5x+ 10 equation 2

subtract equation 1 from 2

5x-(-5x) +10-50 = 0

10x -40 = 0

10x = 40

x = 40/10

x = 4

substitute 4 for x in equation 2

y = 5(4)+10

y = 20+10

y = 30

Therefore the value of x and y are 4 and 30 respectively

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Answer: Tina curled an 8 inch by 10 inch rectangular piece of paper along one of its sides to form an open cylinder with a height of 10 inches

Brainliest or a thank you please ! :))

Answer:

1/6

Step-by-step explanation:

Answer:

[tex]y-2=-\frac{1}{2}(x-3)[/tex]

Step-by-step explanation:

[tex]x+2y=5 \\ \\ 2y=-x+5 \\ \\ y=-\frac{1}{2}x+\frac{5}{2}[/tex]

The slope of the given line is [tex]-\frac{1}{2}[/tex].

This means the slope of any line parallel to the given line is also [tex]-\frac{1}{2}[/tex].

Using point-slope form, the equation is [tex]y-2=-\frac{1}{2}(x-3)[/tex].

Answer:

1st person will receive = $590

2nd person will receive = $470

3rd person will receive = $940

Step-by-step explanation:

Total divisible amount = $2000

according to the question:

let 2nd person's received amount = x

1st person's received amount = x + 120

3rd person's received amount = 2x

x + x + 120 + 2x = 2000

4x + 120 = 2000

4x = 2000 - 120

4x = 1880

x = 1880 / 4

thus,

x = 470

1st person will get = x + 120 = 470+120 = $590

2nd person will get = x = $470

3rd person will get = 2x = 2 * 470 = $940

Lisa needs to sell fifty nine (59) cards on Friday to make a profit, based on total 140 cards and the information on number of cards sold per day.

The total number of cards to be sold for profit = number of cards sold till Thursday + Remaining cards

We need to calculate remaining cards, but before that, we will find the sum of sold cards.

Number of cards sold = 15 + 7 + 14 + 45

Performing addition on Right Hand Side of the equation

Number of cards sold = 81

Remaining cards = 140 - 81

Performing subtraction on Right Hand Side of the equation

Remaining cards = 59

Thus, required number of cards is 59.

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The complete question is-

Lisa need to sell at leat 140 card to make a profit. Monday-thursday she sell 15,7,14,45 card. How many more will she need to sell on friday to make a profit?

Answer: [tex]\frac{1}{96}[/tex]

Step-by-step explanation:

([tex]\frac{1}{8}[/tex])/12

Divide the fraction [tex]\frac{1}{8}[/tex] by 12. This is because we need to split the sugar between 12 brownies, and to split something means to divide it. Use the switch, flip and multiply method.

I inserted an image on how to use this method.

Anyway, to use this method, we need 2 fractions, so instead of 12, we have to use [tex]\frac{12}{1}[/tex].

[tex]\frac{1}{8}/\frac{12}{1}[/tex]

= [tex]\frac{1}{8}[/tex] × [tex]\frac{1}{12}[/tex]      Multiply the denominators and numerators

= [tex]\frac{1}{96}[/tex]

The first figure is dilated to form the second figure, the statement according to will be the scale factor is 0.25.

The ratio notion is used in mathematics when evaluating two or more numbers. It works as a comparison tool to demonstrate how big or small a particular number is.

A ratio divides two quantities in order to compare them.

As per the given information in the question,

We have two side lengths,

First figure: This represents the object length, which is a diamond with a length equal to 5.8.

Second figure:The picture length is then represented by a small diamond with sides that measure 1.45.

So, the scale factor is,

k = Image length/Object length

k = 1.45/5.8

k = 0.25.

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Answer:

0

Step-by-step explanation:

-8-8+4×4

-8-8+16

-16+16

=0

4366 softballs will fit inside of a storage.

What is volume ?

A measurement of three-dimensional space is volume. It is frequently expressed quantitatively using SI-derived units, as well as several imperial or US-standard units. Volume and the notion of length are connected.

The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.

The basic formula for volume is length, breadth, and height, as opposed to length, width, and height for the area of a rectangular shape. The calculation is unaffected by how you refer to the various dimensions; for instance, you can use "depth" instead of "height."

Diameter of softball = 8.3 in

Radius of softball = 4.15 in

                              = 0.345 ft

Volume of sphere = 4/3 π r³

                = 4/3 π (0.345)³

                = 4/3 * 0.1289

                = 0.1718

Volume of cuboid = l * b * h

                              = 15 * 10 * 5

                              = 750

Number of softballs that can fit inside the storage = 750 / 0.1718

                                                                      = 4366

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Step-by-step explanation:

there are 22 two digit numbers divisible by 4.

there are 13 two digit numbers divisible by 7.