Choose all of the ordered pairs that are solutions to the equation y = x2 + 1.
A. (-2, 5)
B. (-1,0)
7. (1, 2)
D. (2, 4)
E. (3, 10)

Answer:

Step-by-step explanation:

b = a + b table chart what equation represents the relationship between a and b shown in the table .

Answer:

85 because if you do the math

Answer:

d. y+3=3(x-4)

Step-by-step explanation:

graphing both points you see a slope of 3. If you continue to follow the slope of 3, you will find the y-intercept is -15.

y+3=3(x-4)

y+3=3x-12

y+3(-3)=3x-12(-3)

y=3x-15 (slope intercept form)

Answer:

i have no clue try ddownloading gouthmath and scan your photo

Step-by-step explanation:

hope you can solve

Divide the parallelogram into two triangles, assume that our e diagonal is the "base" for both new triangles. What's the height of that triangle? Use the sine function. It's (f/2) * sin (angle)! The area of the triangle is equal to our "base" e times height: e * (f/2) * sin (angle)

The base is 12 feet long, the height is 17 feet long.

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Answer:

Step-by-step explanation:

For Case -1

\(\Rightarrow -4x+3y=-5\quad \ldots(i)\)

\(\Rightarrow 4x-5y=3\)

\(\Rightarrow 4x=5y+3\)

Put the value of \(4x\) in equation \((i)\) we get

\(\Rightarrow -(5y+3)+3y=-5\)

\(\Rightarrow -5y+3y-3=-5\)

\(\Rightarrow 2=2y\)

\(\Rightarrow y=1\)

and thus \(4x=5(1)+3\)

\(x=\frac{8}{4}=2\)

Case-2

\(10x-6y=12\quad \ldots(i)\)

\(2x+3y=12\quad \ldots(ii)\)

Now multiply \((ii) by 5 and subtract it from (i)\)

\( 10x-6y=12\)

\( 10x+15y=+180\)

\(\cdots \cdots \cdots\)

\(-21y=-168\)

\(y=8\)

and \(=6\)

Answer:

Number is 20.

Step-by-step explanation:

Let's call the number we're trying to find "x".

We can translate the problem into an equation:

1/8x + 1.5 = 4

To solve for x, we'll first subtract 1.5 from both sides:

1/8x = 2.5

Then, we'll multiply both sides by 8:

x = 20

So the number we're looking for is 20.

Answer: 0.95

Step-by-step explanation:

Khan

The required probability is,

\(P(z>2)=0.02275\)

Computation:

The probability seal properly fits the valve is,

\(P(x_s-x_v>2)\)

Solving the above we get,

\(P(\frac{x_s-x_v-(\mu _s-\mu _v)}{s_D(x_s-x_v)}>\frac{2-(51-50)}{\sqrt{(0.3)^2+(0.4)^2}})\\=P(Z>2)\\=0.02275\)

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Answer:

x ≈ 9.6

Step-by-step explanation:

Δ ABC is right with ∠ C = 90° ( angle between tangent and radius )

Using Pythagoras' identity in the right triangle

x² + 14² = 17²

x² + 196 = 289 ( subtract 196 from both sides )

x² = 93 ( take the square root of both sides )

x = \(\sqrt{93}\) ≈ 9.6 ( to the nearest tenth )

Answer:

B

Step-by-step explanation:

the percentage of money to be paid is 125% which is equivalent to 1.25 in fraction

The equivalent expression is" 1.25x because adding 25% to the cost of the haircut is the same as multiplying the cost by 1.25. Option B is correct.

It is defined as the combination of constants and variables with mathematical operators.

It is given that, Dillon pays x dollars to get a haircut. He gives the stylist a 25% tip. The expression representing his total cost is,x + 0.25x

Expressions that function identically while having distinct appearances are called equivalent expressions. If two algebraic expressions are equivalent, then they both have the same result when the same value of the variable is entered.

=x + 0.25x

=1.25x

Thus, the equivalent expression is" 1.25x because adding 25% to the cost of the haircut is the same as multiplying the cost by 1.25. Option B is correct.

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Answer:

1023, 1024, 1025

Step-by-step explanation:

i just took 3072 and divided it by 3 to get 1024 and then i subtracted one from the first number and added 2 onto the last number

In both the Vendor Compliance at Geoffrey Ryans (A) and Operational Execution at Arrows Electronics cases, there are common problems and challenges. These include issues related to vendor management.

One of the key problems faced by both companies is vendor compliance. This refers to the ability of vendors to meet the requirements and standards set by the company. Both cases highlight instances where vendors fail to meet compliance standards, leading to disruptions in the supply chain and operational inefficiencies. This problem affects the overall performance and profitability of the companies.

Another challenge faced by both companies is operational execution. This encompasses various aspects of operations, including inventory management, order fulfillment, and delivery. In both cases, there are instances where operational execution falls short, leading to delays, errors, and customer dissatisfaction. This challenge requires the companies to streamline their processes, improve communication and coordination, and enhance overall operational efficiency.

Overall, the problems and challenges in both cases revolve around effective vendor management, supply chain optimization, and operational excellence. Addressing these issues is crucial for both companies to improve their performance, meet customer demands, and maintain a competitive edge in the market.

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Answer:

126 tiles

Step-by-step explanation:

The while tiles are 3/4 of a foot (or 9 inches) x 9 in, so their area is 81 sq in. There are 14 blue tiles, so 14 x 81 = 1134 sq inches that need to be covered.

Each tiles is 3 x 3, so its area is 9 sq in. 1134 / 9 = 126 tiles

Answer:

Step-by-step explanation:

Formula for calculating the surface area of the box S = 2(LW+LH+WH) where

L is the length of the box

W is the width of the box

H is the height of the box

If the box is square based with dimension 4 * 4in, then L = W = 4in. substituting this values given into the formula we will have;

S = 2(4(4)+4H + 4H)

S = 2(16+8H)

S = 32+16H

Hence, The function that represents the surface area of this box as a

function of its height is S = 32+16H where H is the height of the box

Given H = 6.5in, to evaluate the function, we will substitute h = 6.5in into the modeled equation;

S = 32+16H

S = 32+16(6.5)

S = 32+106

S = 138in²

Hence the total surface area of the box is 138in²

Answer:

\(\frac{13}{21}\) or 0.62

Step-by-step explanation:

\(\frac{-13}{-21} =\frac{13}{21}\)

Since none of the 13 classmates had been given math homework between the original survey and Kelly's second survey, the sum of the values in the second data set is the same as the sum of the values in the original data set. Therefore, the change in the means can be determined without calculating the mean of either data set by considering the number of data points in each set.

Since both data sets have the same number of data points, the change in the means will be zero. This is because the mean is calculated by dividing the sum of the values by the number of data points, and since the sum of the values is the same in both data sets, the means will also be the same.

In other words, the change in the mean is calculated as follows:

Change in mean = Mean of second data set - Mean of first data set

Since none of the values in the second data set have changed, the mean of the second data set is the same as the mean of the first data set. Therefore, the change in the mean is:

Change in mean = Mean of second data set - Mean of first data set

= Mean of first data set - Mean of first data set

= 0

Thus, the change in the means between Kelly's original survey and her second survey is zero.

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The exact length of the curve is approximately 0.7386.

We're given the equation of the curve as:

\(y = ln(1 - x²)\)

and the range of x values:

\(0 ≤ x ≤ 1/8\)

The exact length of the curve can be found by using the formula:

Length of curve

\(= ∫(a to b) √[1 + (dy/dx)²]dx\)

Here, a = 0 and b = 1/8

Also,

\(dy/dx = -2x/(1 - x²)\)

We can use this to find (dy/dx)²:

\((dy/dx)² = [(-2x)/(1 - x²)]²= 4x²/(1 - x²)²\)

Now, we can substitute these values in the formula for length:

Length of curve

= \(∫(a to b) √[1 + (dy/dx)²]dx\)

= \(∫(0 to 1/8) √[1 + 4x²/(1 - x²)²]dx\)

This integral can be simplified using trigonometric substitution:

Let\(x = (1/2)tanθ\)

Then

\(dx = (1/2)sec²θ dθ\)

Also,

\(1 - x² = 1 - (1/4)tan²θ = 3/4sec²θ\)

So, the integral becomes:

\(∫(0 to 1/8) √[1 + 4x²/(1 - x²)²]dx\)

=\(∫(0 to π/6) √[1 + 16/9 sin²θ] (1/2)sec²θ dθ\)

= \((1/2) ∫(0 to π/6) √[25 + 16 sin²θ]sec²θ dθ\)

This integral can be solved using the substitution

\(u = 5tanθ\)

Then

\(du/dθ = 5sec²θ and sin²θ = (u²/25) - 1\)

Substituting these values, we get:

Length of curve

\(= (1/2) ∫(0 to arctan(5/3)) √(u² + 16) du/5\)

\(= (1/10) ∫(0 to arctan(5/3)) √(u² + 16) du\)

Now, this integral can be simplified using the substitution

\(u = 4tanψ\)

Then

\(du/dψ = 4sec²ψ and u² + 16 = 16(sec²ψ + 1)\)

Substituting these values, we get:

Length of curve

= \((1/10) ∫(0 to arctan(5/3)) √(16(sec²ψ + 1)) (1/4)4sec²ψ dψ\)

= \((1/40) ∫(0 to arctan(5/3)) 8sec³ψ dψ= (1/5) [secψ tanψ]0toarctan(5/3)\)

= \((1/5) [5 sqrt(34) - 3]\)

≈ 0.7386

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The circle is partitioned into 9 parts and arc GH is only one of the parts, therefore, the length of arc GH is a ninth of the circumference of the circle which has the radius as a factor.

The circumference of a circle is the perimeter of the circle which is equal to the product of twice the radius and π.

The circumference of the circle is C = 2·π·r

The circle is divided into 9 parts

The arc GH is the arc to one part of the circle

The length of the arc GH = 2·π·r/9

The ratio of the arc GH to the radius, r = n is therefore;

When r = n,

Measure of arc length \(\widehat{GH}\) = 2·π·n/9

Ratio of \(\widehat{GH}\) to r = n is obtained using the formula;

\(Ratio = \dfrac{Measure \ of \ arc\ length \ GH }{n}\)

\(\dfrac{\dfrac{2\cdot \pi\cdot n}{9} }{n} = \dfrac{2\cdot \pi }{9}\)

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Answer:120

Step-by-step explanation:

given x= 3 and y= 8,

we have to find the value of 5xy

so let us put the values of x and y in the given expression i.e 5xy.2

= 5×3×8

= 120

 Hence the value of 5 xy is 120.

Answer:

Step-by-step explanation:

If x = 3 and y = 8, then the value of 5xy is simply 5 times the product of x and y.

To find the product of x and y, we simply multiply x and y together:

xy = 3 * 8 = 24

To find the value of 5xy, we simply multiply 5 by the value of xy:

5xy = 5 * 24 = 120

So the value of 5xy when x = 3 and y = 8 is 120

Answer:

y - 1 = -1 * (x + 2) < point-slope form

Step-by-step explanation:

y-y₁=m(x-x₁) then I just inserted the following numbers to fit the formula. I hope this helps!

Answer:

x = 2 pizzas

Step-by-step explanation:

Let

x = number of pizza ordered

Stella’s Pizza charges $16.00 room rental fee and an additional $8.00 for each pizza ordered.

cost for a party at Stella’s Pizza = 16 + 8x

Napoli’s Pizza charges $24 for the room rental fee and an additional $6.00 for each pizza ordered.

cost for a party at Napoli’s Pizza = 24 + 6x

Equate the cost for a party at Stella’s Pizza and cost for a party at Napoli’s Pizza

16 + 8x = 24 + 6x

8x - 6x = 24 - 16

2x = 8

x = 8/4

= 2

x = 2

Answer: 22

Step-by-step explanation:

The present ages of the father and son are 36 and 9, respectively.

The sum of the ages of a father and son is 45 years. Five years ago, the product of their ages was four times the father's age at that time. To find the present ages of the father and son, we can set up a system of equations.

Let's denote the present ages of the father as "F" and the present age of the son as "S".

From the information given, we have two equations:

Equation 1: F + S = 45 (The sum of their ages is 45)
Equation 2: (F - 5)(S - 5) = 4(F - 5) (Five years ago, the product of their ages was four times the father's age at that time)

To solve this system of equations, we can use substitution or elimination method.

Let's solve it using the substitution method:

From Equation 1, we can express F in terms of S: F = 45 - S

Now, substitute F in Equation 2 with 45 - S:

(45 - S - 5)(S - 5) = 4(45 - S - 5)

Simplify the equation:

(40 - S)(S - 5) = 4(40 - S)

Expand and simplify:

40S - 5S - 200 + 25 = 160 - 4S

Combine like terms:

35S - 175 = 160 - 4S

Add 4S to both sides:

35S + 4S - 175 = 160

Combine like terms:

39S - 175 = 160

Add 175 to both sides:

39S = 335

Divide both sides by 39:

S = 335/39

Simplify:

S ≈ 8.59

Since age cannot be in decimal places, we can approximate the son's age to the nearest whole number:

S ≈ 9

Now, substitute S = 9 into Equation 1 to find the father's age:

F + 9 = 45

Subtract 9 from both sides:

F = 45 - 9

F = 36

Therefore, the present ages of the father and son are 36 and 9, respectively.

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The required number of children and adults for sitting in the theater are 300 and 50 respectively.

A equation is supposed to be linear equation in two factors in the event that it is written as hatchet + by + c=0, where a, b and c are genuine numbers and the coefficients of x and y, i.e an a and b separately, are not equivalent to nothing. For instance, 10x+4y = 3 and - x+5y = 2 are straight equation in two factors.

Let be consider number of children be x and that of adults is y.

We have,

x + y = 350-------(1)

y = 350 - x

And 5x + 10y = 2000------------------(2)

Put value of y in equation (2)

5x + 10( 350 - x) = 2000

5x + 3500 - 10x = 2000

-5x = -1500

x = 300

Then

y = 350 - x = 350 - 300 = 50

Thus, There will be 300 children and 50 adults in the  theater .

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Answer:

C

Step-by-step explanation:

Continental Drift Theory says that all the continents used to be one landmass called Pangaea, and that proves how glaciers, fossils, and plants are on different sides of oceans.

(Is proven to be true.)

So that leaf must have came from a tropical landmass like Australia, Africa, or South America.

Since C is the one that explains Plate Tectonic Theory, it is correct.

Answer:

157

Step-by-step explanation:

C = \(\pi\) x diameter.

C = 3.14 x 50

C = 157 units

Answer:

(-1,0)

Step-by-step explanation:

See attached graph.  Use a free site such as DESMOS for graphing.

The exact value of tan(-19) in radians is approximately -12.2831. To find the exact value of tan(-19) using a coterminal angle, we need to determine an angle that is coterminal with -19 degrees or -19 radians.

Coterminal angles are angles that have the same initial and terminal sides but differ by a multiple of 360 degrees or 2π radians. In this case, we want to find a coterminal angle with -19 degrees or -19 radians.

Since the tangent function is periodic with a period of 180 degrees or π radians, we can add or subtract multiples of 180 degrees or π radians to -19 to find coterminal angles.

For -19 degrees, we can add 360 degrees to it: -19 + 360 = 341 degrees. However, the tangent function has a vertical asymptote at 90 degrees and 270 degrees, so the tangent of 341 degrees is undefined.

For -19 radians, we can add 2π radians to it: -19 + 2π = -19 + 6.2831... = -12.2831... radians. Thus, the exact value of tan(-19) in terms of radians is -12.2831...

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