Write the system of equations corresponding to the augmented matrix shown below ⎡⎣⎢⎢−8−2150−9−6−11−21−1⎤⎦⎥⎥ Note: Write an equation in each answer field and do not solve the system.

Answer:

where is the equation

Step-by-step explanation:

b^2-4ac>o 2 real #zeros  2 x-intercepts

b^2-4ac=0 1 real number zeros 1 x-intercepts

b^2-4ac<0 0 real number zeros 0 x-intercepts

Answer:

410 miles

Step-by-step explanation:

total distance covered (d) = 1640 miles

total time taken (t) = 4 hrs

average distance per hour= d/t

= 1640/4

= 410 miles

Answer:

410 mph

Step-by-step explanation:

[tex]average \: speed \\ = \frac{1640}{4} \\ = 410 \: mph[/tex]

Answer:

84

Step-by-step explanation:

Hello there!

We could solve this with an equation, but just think about it. The given expression shows that 21 is 1/4 of x. So just multiply 21 by 4 and get 84.

;)

Answer:

2 5/6

Mrs Quinn has 2 full loaves of bread and 5 pieces of the 1/6 portions of the bread.

Step-by-step explanation:

Mrs Quinn had 4 loaves of bread

1 loaf was divided into two halves

1/2 was kept in the freezer

3 loaves was divided into 1/6 pieces

Step 1

How many 1/6 pieces can we find in 3 loaves?

1 loaf of bread = 6 pieces of 1/6 portions of bread

3 loaves of bread =

3× 6 pieces = 18 pieces of 1/6 portions of bread in total.

From the question, her guests ate 7 pieces

The number of pieces left = 18 - 7

= 11 pieces left.

Step 2

We are asked how many loaves of bread does Mrs Quinn have left?

This is calculated by adding up the 11 pieces of 1/6 portions of the bread with the first loaf of bread that she divided into 2

The total would be

= 1 loaf + 11 pieces of 1/6 sizes of bread

= 1 loaf + 11( 1/6)

= 1 + 11/ 6

= 1 + 1 5/6

= 2 5/6

Therefore Mrs Quinn has 2 full loaves of bread and 5 pieces of the 1/6 portions of the bread.

Final answer:

After dividing and serving bread at her dinner party, Miss Quinn has 11 pieces of bread plus the half loaf she initially put in her freezer left.

Explanation:

Miss Quinn made 4 loaves of bread for a dinner party. She cut one loaf in half and put a piece in her freezer. She then divided the remaining full loaves of bread into sixths. Her guests ate 7 pieces. How much bread does Miss Quinn have left?

First, let's figure out how many pieces of bread Miss Quinn had after cutting and dividing the loaves. She had 4 loaves of bread total. After cutting one loaf in half and storing one half, she was left with 3.5 loaves. She then divided the 3 full loaves into sixths, resulting in 18 pieces (3 loaves × 6 pieces), plus the half loaf she did not cut into sixths. Therefore, before the guests ate, Miss Quinn had 18 pieces + 1 half loaf (considered as 1 unit here), for a total of 19 units of bread.

Her guests ate 7 pieces of the bread divided into sixths, leaving Miss Quinn with 18 - 7 = 11 pieces of the sixths and the half loaf in the freezer. Therefore, Miss Quinn has 11 pieces of bread + 1 half loaf left after her guests have eaten.

Answer:

c 83.10

Step-by-step explanation

3.14 times 2.3 times 5

Answer:

q

Step-by-step explanation:

q^6 / q^5

Division by exponents is done by subtraction

a^b / a^c = a^(b-c)

q^6 /q^5 = q^(6-5) = q^1 = q

Answer:40

Step-by-step explanation:

us 40

Answer:

C = 2 t + 18

This equation satisfy the general formula from a linear model:

[tex] y= mx +b[/tex]

Where m represent the slope and b the intercept.

And for this case the number 2 represent the slope for the model and is telling to us that if we increase the number of toppings by 1 unit we would expect an increase in the cost of 2 dollars.

The 18 is a fixed cost and represent the intercept for the model

Step-by-step explanation:

For this case we know that the cost in dollars, C for a pizza based, with t numbers of toppings can be determined with the equation

C = 2 t + 18

This equation satisfy the general formula from a linear model:

[tex] y= mx +b[/tex]

Where m represent the slope and b the intercept.

And for this case the number 2 represent the slope for the model and is telling to us that if we increase the number of toppings by 1 unit we would expect an increase in the cost of 2 dollars.

The 18 is a fixed cost and represent the intercept for the model

In a right triangle with an angle of 53.1 degrees, and sides 3/5 and 4/5, the sine is 4/5, the cosine is 3/5, and the tangent is 4/3. aThese methods and results are a fundamental part of understanding trigonometric functions in Mathematics.

In this scenario, you were given a right triangle inscribed in the first quadrant of the unit circle. The angle of the triangle is given as 53.1 degrees, the horizontal length (adjacent side) is 3/5, and the vertical length (opposite side) is 4/5. We can calculate the trigonometric functions based on this. Trigonometry revolves around the relationship between side lengths of triangles and the angles they form.

Sine (sin) of an angle is defined as the ratio of the length of the side that is opposite the angle to the length of the longest side of the triangle (hypotenuse). Here, sin(53.1) = Opposite/Hypotenuse = 4/5.

The Cosine (cos) of an angle is defined as the ratio of the length of the adjacent side of the angle to the hypotenuse. So, cos(53.1) = Adjacent/Hypotenuse = 3/5.

The Tangent (tan) of an angle is the ratio of the sine of the angle to the cosine of the angle, which also equals the ratio of the opposite side to the adjacent side. Tan(53.1) = Sin(53.1)/Cos(53.1) = (4/5) / (3/5) = 4/3.

https://brainly.com/question/11016599

#SPJ12

The sine, cosine, and tangent of an angle in a right triangle inscribed in the first quadrant of the unit circle are respectively equal to the ratios of opposite/hypotenuse, adjacent/hypotenuse, and opposite/adjacent sides. So, in your case where the triangle has an angle of 53.1 degrees, horizontal length 3/5, and vertical length 4/5, sinθ = 4/5, cosθ = 3/5, and tanθ = 4/3.

In the right triangle you mentioned, the hypotenuse is the radius of the unit circle which is 1, the horizontal length (adjacent side, often represented as x) is 3/5, and the vertical length (opposite side, often represented as y) is 4/5. The quoted angle, usually symbolized as θ, is 53.1 degrees. With this information, we can calculate the trigonometric functions as follows:

https://brainly.com/question/28483432

#SPJ12

Answer:

Then people will know anything inside those lines is positive.

Step-by-step explanation:

Hope this helps:)

Answer:

because there is 3 sides

Step-by-step explanation:

This question is incomplete and it also lacks an attached diagram.

Find attached to this answer the appropriate diagram.

Complete Question:

The conditional relative frequency table was generated using data that compared the cost of one ticket for a performance and the method by which the ticket was purchased.

Given that Lorenzo paid more than $30 for a ticket, what is the probability that he purchased the ticket at the box office? Express the answer in decimal form

Answer:

0.14

Step-by-step explanation:

From the attached diagram, we were given a table that contained known values:

The number of tickets that were purchased online we have 2 categories

a) Not more than $30 = 0.7

b) More than $30 = 0.86

The number of tickets that were purchased at the box office also had 2 categories.

a) Not more than $30 = 0.3

b) More than $30 = 0.14

The probability that the ticket Lorenzo paid more than $30 for was purchased at the box office

= P( more than $30 at the box office)

= 0.14

Answer: A or 0.14

Step-by-step explanation:

Trust me sir

Answer:

[tex] lim_{x \to 1} x^2 -8x -2 =-9[/tex]

Step-by-step explanation:

For this case we want to find the following limit:

[tex] lim_{x \to 1} x^2 -8x -2 [/tex]

And we can find the limit distirbuting into each term like this:

[tex] \lim_{x \to 1} x^2 -8 lim_{x \to 1} x -lim_{x \to 1} 2 [/tex]

And replacing we got:

[tex] 1^2 - 8*1 -2 = 1-8-2 = -9[/tex]

So then the final answer for this case is:

[tex] lim_{x \to 1} x^2 -8x -2 =-9[/tex]

Answer:

The possible values of d, the length of the diameter is d > 2.55 meters.

Step-by-step explanation:

The circumference of a circle is:

[tex]C=2\pi r=\pi\ d[/tex]

Here,

C = circumference

r = radius

d = diameter

It is provided that the circumference is greater than 8 meters.

That is,

[tex]C>8\\\pi\cdot d>8[/tex]

Use the value of π as 3.14.

Compute the range of values of d as follows:

[tex]\pi\cdot d>8\\\\3.14\times d>8\\\\d>\frac{8}{3.14}\\\\d>2.55[/tex]

The diameter of the circle is greater than 2.55 meters.

Thus, the possible values of d, the length of the diameter is d > 2.55 meters.

Answer:

To simplify the answer above, D

Step-by-step explanation:

Answer:

162

Step-by-step explanation:

24 x 3 = 72

5 x 18 = 90

90 + 72 = 162

Answer:

162

Step-by-step explanation:

3*24=72 and 5*18=90 then add them together and they equal 162

Answer:

A+ B is the radius of the circle

When we draw line AE it is also a radius of the circle

Line EC^2 = AE^2 -AC^2

Line EC^2 = 8^2 -5^2

Line EC^2 = 64 -25

Line EC^2 = 39

EC = square root of 39 = 6.2449979984

EC = 6.245 rounded.

Step-by-step explanation:

The correct statement is

The data is skewed right.

The lower and upper quartiles are shown on the left and right sides of a box and whisker plot, respectively. The interquartile range, which contains 50% of the data, is covered by the box. The median is the vertical line that divided the box in half.

We have a box and whisker plot.

Based on the position of the median value in the box plot, we may decide if a distribution is skewed or not. The distribution is right-skewed (or "positively" skewed") when the median is closer to the bottom of the box and the whisker is shorter on the lower end of the box.

A right-skewed distribution with a positive skewness is one in which the median is smaller than the mean. The median of a left-skewed distribution is bigger than the mean when the skewness is negative, on the other hand.

Here, the data is shorter on the lower end of the box.

Thus, the plot is positively skewed.

Learn more about Box and whisker plot here:

https://brainly.com/question/2742784

#SPJ7

Answer:

21

Step-by-step explanation:

first do 566.25 - 225. then divide that answer by 16.25

Answer:

m=6+2/3+3=8/6=4/3

y-y1=m(x-x1)

Y+2=4/3(x+3)

Y=4x/3 +4-2

y=4/3 x+2

Step-by-step explanation:

Answer:

40 sq ft.

Step-by-step explanation:

Area is l x w, where 8 is the length and 5 is the width. so you multiply 8 x 5, and you get 40 sq ft.

Answer:

40 sq ft

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

1/5=.2

.2*100=.20%

Answer:

Daniel is 10 years old presently

Step-by-step explanation:

Since we do not know the ages of both people, we assign variables.

Let Daniel’s present age be d while Willam’s present age is w

Daniel is 8 years older;

Mathematically;

d = w + 8 •••••••••••(i)

In two years time Daniel’s age will be d + 2 while William’s age will be w + 2

We know that Daniel will be 3 times as old as Williams will be in these two years time

Mathematically;

d + 2 = 3(w + 2) ••••••• (ii)

From equation 1, we have w = d-8

we substitute this into equation ii

d + 2 = 3(d-8+2)

d + 2 = 3(d-6)

d + 2 = 3d - 18

3d - d = 18 + 2

2d = 20

d = 20/2

d = 10 years

Answer:

EB = 20

Step-by-step explanation:

Given 2 chords intersecting inside a circle, then

Th product of the parts of one chord is equal to the product of the parts of the other chord, that is

10x = 8(x + 5) ← distribute

10x = 8x + 40 ( subtract 8x from both sides )

2x = 40 ( divide both sides by 2 ), thus

x = EB = 20

Answer:

2 moles

Step-by-step explanation:

first you have to balance the equation:

2NO + O2⇒2NO2

then set up your mole to mole ratio

2 mol NO2/2 mol NO

multiply by the given 2.00 mol NO gas

and you should get 2 mol NO2

Final answer:

Starting with 2.00 moles of nitrogen monoxide (NO) and reacting it with excess oxygen (O2) will produce 2.00 moles of nitrogen dioxide (NO2) based on the 1:1 mole ratio from the balanced chemical equation.

Explanation:

The student is asking about the stoichiometry of a chemical reaction involving nitrogen monoxide (NO) and oxygen (O2) to produce nitrogen dioxide (NO2). In the balanced chemical equation, the reaction is typically represented as 2NO + O2
ightarrow 2NO2. Following the mole ratio from the balanced equation, 1 mole of NO reacts with 1/2 mole of O2 to produce 1 mole of NO2. Consequently, if you start with 2.00 moles of NO, you would also produce 2.00 moles of NO2 given that oxygen is in excess and will not limit the reaction.

This is because the balanced chemical equation shows the NO and NO2 in a 1:1 mole ratio. Therefore, the number of moles of reactants you start with will directly determine the number of moles of products formed, assuming you have an excess of the other reactants.

Answer:

x=8.

Step-by-step explanation:

Distribute the 1/4 to get:

4+3x= 28.

Now, subtract both sides by 4, giving you:

3x= 24.

Divide both sides by 3, resulting in:

x=8.

Answer:

x=8.

Step-by-step explanation:

Distribute the 1/4 to get:

4+3x= 28.

Now, subtract both sides by 4, giving you:

3x= 24.

Divide both sides by 3, resulting in:

Answer:

[tex](x+4)^2+(y-5)^2=9[/tex]

Step-by-step explanation:

If the corner of your porch is the origin

The tree's location is at (-4,5).

We want to determine the equation of a circle with center (-4,5) and radius 3 ft.

The equation of a circle center (h,k) with a radius of r is given as:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

(h,k)=(-4,5), r=3

The equation formed by the fence therefore is:

[tex](x-(-4))^2+(y-5)^2=3^2\\\\$Simplifying we obtain:\\\\(x+4)^2+(y-5)^2=9[/tex]

Answer:

[tex]2\frac{1}{3}\: ft[/tex]

Step-By-Step Explanation:

[tex]Height\: of \:sail = 1\frac{1}{6}\: ft = \frac{7}{6}\: ft\\Base\: of \:sail = 4\: ft \\Area\: of \:sail =\frac{1}{2} \times base \times height\\=\frac{1}{2} \times \frac{7}{6} \times 4\\= \frac{7}{6} \times 2\\=\frac{7}{3}\\=2\frac{1}{3}\: ft[/tex]

Answer:

Step-by-step explanation:

[tex]\frac{15}{100}[/tex]×100 = 15%

Answer:

The correct option is;

The ratio of the area of the scale drawing to the area of the sign is equal to the square of the scale factor

Step-by-step explanation:

Here we have a scale factor of 1:8

Therefore area of drawing = 1/2×base, b×height, h = 1/2×b×h

Hence, the area of the triangular sin will be given by 1/2×8×b×8×h

Area of triangular sign = 64 × 1/2×b×h

Hence the ratio of the area of the scale drawing to the area of the triangular sign is equal to the square of the scale factor.

Answer:

the scale factor is 2

the area of the scale drawing is 3.75

and the last one is square

Step-by-step explanation:

edge 2021

Answer:

f= t/mg - 4/g

Step-by-step explanation:

So the final solution for [tex]\( F \)[/tex]is:

[tex]\[ F = \frac{T - 4M}{MG} \][/tex]

To solve the equation [tex]\( T = M(4 + FG) \)[/tex] for [tex]\( F \)[/tex], you would follow these steps:

Step 1: Distribute the [tex]\( M \)[/tex]to terms inside the parentheses:

[tex]\[ T = 4M + MFG \][/tex]

Step 2: Move the term containing [tex]\( F \)[/tex] to one side of the equation:

[tex]\[ MFG = T - 4M \][/tex]

Step 3: Divide both sides by [tex]\( MG \)[/tex] to isolate [tex]\( F \)[/tex]:

[tex]\[ F = \frac{T - 4M}{MG} \][/tex]

Complete correct question:

How do you solve [tex]T=M(4+FG)[/tex] for [tex]F[/tex] ?

Answer:

115 is not a fraction, but it's 1.15 if you meant 115%