Stephanie and Jill share a reward of $65 in a ratio of 1 : 4. How much does Stephanie get?
step by step please

Thank you!

Answer:

10 x .5 = 5

OR

10 x 1/2 = 5

Answer:

$15095.39

Step-by-step explanation:

[tex]A=13000(1+(0.03)/4)^{(4)(5)}=15095.39[/tex]

The statement is true.

An orthogonal set with the same dimension as the initial collection of vectors is created by the Gram-Schmidt process.

What is orthogonal set?

Two vectors are perpendicular to one another if they are orthogonal to one another. i.e., the two vectors' dot product has a value of zero. Definition.

             Every pair of vectors in a set, v1, v2,..., vn, is said to be orthogonal, hence the set of vectors is said to be mutually orthogonal.

The gram-Schmidt process generates an orthogonal set of vectors with the property that for each k, the vectors v1...vk span the same subspace as that spanned by x1...xk from a linearly independent collection of x1, x2,..., xp.

The validity of the claim must be established.

It is accurate to say that.

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Answer:  The correct answer is the function domain is x<-7 or x>1

Your available options (a-d) appear to have some incorrect values, I am assuming the correct answer is "c. x1,x#-7" provided it matches "c. x>1, x<-7"

Step-by-step explanation:

The domain of a function is the set of input or argument values for which the function is real and defined.

Equation: x-8/x^2+6x-7

Define the domain of (x-8)/(x^2+6x-7)

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The height of the kite assuming that there is no slack in the string is 86.6 m.

We have given that,

the string of a kite is 100 meters long and it makes an angle of 60°.

and we have to find the height of the kite.

So therefore we know the formula for right angled triangle,

i.e. sinθ = Opposite side/ Hypotenuse

Here θ = 60°

Opposite side = height of the kite = h (say)

Hypotenuse = length of string = 100 m

⇒ sin60° = [tex]\frac{h}{100}[/tex]

           h = 100sin60°

              = 100 × [tex]\frac{\sqrt{3} }{2}[/tex]

              = 50 × 1.732

           h = 86.6 m

Hence the height of the kite is 86.6 m.

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Around 1800 is another method to characterize the beginning of the Romantic era.

Romanticism was an artistic, literary, musical, and intellectual movement that began in Europe around the end of the 18th century and peaked in most places between 1800 and 1850. The key to answering this issue is to first understand the definition of the word, Circa. Circa means "about." So, while the precise year cannot be determined, the Romantic Era began around 1800. The French Revolution inspired many people to participate in artistic movements during this time period. In summation, the beginning of the romantic era can be described as being approximately 1800.The Romantic Period began about 1798 and continued until 1837. The political and economic climate of the time strongly affected this period, with many writers drawing inspiration from the French Revolution. During this time, there was a great deal of social change. Around 1800 is another method to characterize the beginning of the Romantic era.

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Answer:

x=3

y=4

z=1

Step-by-step explanation:

4x-2y+6z=10

-(4x+12y+4z=64)

= -14y+2z=-54

= -7y+z=-27

-7y+z=-27

+(5y-z=19​)

= -2y=-8

y=4

5(4)-z=19

20-z=19

z=1

x+12+1=16

x=3

The journey along Line segment X Y is longer than the path along Line segment Z Y, and the path along Line segment Z Y is longer than the path along Line segment A B, hence Option-A is the correct answer.

Given that,

He makes paths that follow Line segments A and B, X and Y, and Z and Y through the garden.

We have to find which accurately compares the pathways' lengths.

We know that,

The length of the third side in a triangle is proportional to the angle Ф  if the lengths of the two sides that make up the angle Ф are fixed.

XY > YZ because XY's opposing angle (79°) is greater than YZ's (65°).

As before, YZ > AB because the opposing angle of YZ (65°) is greater than that of AB (36°).

Since both sides of the angle are the same length (8 feet),

As a result, assertion A. is accurate. (Answer)

Therefore, The journey along Line segment X Y is longer than the path along Line segment Z Y, and the path along Line segment Z Y is longer than the path along Line segment A B, hence Option-A is the correct answer.

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Answer:

It's A

Step-by-step explanation:

I got 100 on the quiz

Answer:

In simple terms, it basically means to select the important parts of the data and take note of them. It's a very helpful technique.

On the cherry - picking mean in the context of data analytics is confirmation bias. The correct option is (B)

Cherry picking is the selective use of evidence to support a claim while ignoring other data that is more likely to challenge that claim.

here, we have,

It's not always done with malicious purpose, but this behavior is extremely widespread. Probably even you have cherry-picked.

now, we know that,

cherry picking looks  like as:  

For instance, someone who cherry picks may only mention a few studies out of the many that have been published on a certain topic in an effort to make it appear as though the scientific consensus supports their position.

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Answer:

Slope-intercept form: y = 3x + 5

Slope: 3

y-intercept: 5

Step-by-step explanation:

When the equation of a line is written in the slope-intercept form, we can easily identify the slope from the coefficient of x and the y-intercept from the constant.

The slope-intercept form is expressed as y = mx + c, where m is the slope and c is the y-intercept. Note that other textbooks might use y = mx + b instead, but both have the same meaning as both m and b or c will be replaced by a certain value.

To rewrite an equation in the slope-intercept form, isolate the y term on the right-hand side of the equation and divide the whole equation by the coefficient of y.

Working

[tex]y - ( - 7) = 3(x - ( - 4))[/tex]

Expand:

[tex]y + 7 = 3(x + 4)[/tex]

[tex]y + 7 = 3x + 12[/tex]

Subtract both sides by 7:

[tex]y = 3x + 12 - 7[/tex]

[tex]\bf{y = 3x + 5}[/tex]

Since the coefficient of y is already 1, we have arrived at our final answer.

When the equation is in the slope-intercept form, the slope can be identified from the coefficient of x. This refers to the number that comes before x which is multiplied to x.

Thus, the slope is 3.

The y-intercept is the value of the constant in the slope-intercept form. This refers to the number that is not attached to any variables.

Hence, the y-intercept is 5.

Note that the y-intercept can also be found by substituting x = 0 into the equation.

The x-intercept occurs at y = 0. Since we have the equation of the line, we can substitute y = 0 into the equation to find the value of x when y = 0.

Working

y = 3x + 5

When y = 0,

0 = 3x + 5

3x = -5

Divide both sides by 3:

[tex]x = - \frac{5}{3} [/tex]

I have attached the graph as an image. If only a sketch is required, there are 3 pieces of information that needs to be labelled on the graph:

Additional resources:

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Carlos buy 35 number of angelfish and 360 number of parrotfish.

What is solving an equation?

Unifying Principle for Equation Solving

By deleting parenthesis and grouping like terms, each side of the equation can be made simpler.

The variable term on one side of the equation can be separated using addition or subtraction.

To find the variable, use multiplication or division.

x represents the number of angelfish Carlos bought and the variable y represents the number of parrotfish he bought.

Carlos bought 405 tropical fish for a museum display.

x + y = 405            ..(1)

As he bought 8 times as many parrotfish as angelfish.

⇒ y = 8x                ..(2)

Plug y = 8x in equation (1)

x + 8x = 405

     9x = 405

       x = 45

Plug x = 45 in equation (2)

y = 8(45)

y = 360

Hence, Carlos bought 35 number of angelfish and 360 number of parrotfish.

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The simplest expression of the ratio of circles to squares is 5:3.

Describe ratio.

A relationship between two quantities is called a ratio, and it is expressed as one quantity divided by the other.

There are 6 circles and 10 squares.

These steps can be used to determine the ratio of two quantities:

Finding the quantities of both scenarios for which we are calculating the ratio is the first step. There are 10 squares and 6 circles in this instance.

It should be expressed as a fraction, a/b. Thus, we represent it as 10/6.

If you can, make the fraction even simpler. The ultimate ratio will be shown by the simple fraction.

In this case, 10/6 can be reduced to 5/3.

As a result, the simplest expression of the ratio of circles to squares is 5:3.

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The value of x = 6cm.

What is surface area?

The area is the area occupied by a two-dimensional flat surface. It has a square unit of measurement. The surface area of a three-dimensional object refers to the space occupied by its outer surface.

From the given figure,

Surface area(A) = [tex]192cm^{2}[/tex]

Height = 8cm

a base side = 6 cm

b base side = 10 cm

c base side = x cm

Therefore,  TSA= 2B +Px = [tex]2 \times\frac{1}{2} \times8\times6 +(6+10+8)x[/tex]

                                          =48+24x

Thus, 60+24x=192

                     [tex]x=\frac{192-48}{24}[/tex]

                      x= 6cm

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The equation is:

y=54x−13

Explanation:

The slope-intercept form of a straight line is

y=mx+c

In this case we have a point,

(x,y)

and the slope,

m

so all we need is a value for

c

.

Substitute into

y=mx+c−3=54(8)+c−3=10+cc=−13

The equation is: y=54x−13

Or you can use the formula for the situation where you have a point,

(x1,y1)

and the slope, (m)

→

  y−y1=m(x−x1)y−(−3)=54(x−8)y+3=54x−10y=54x−13

Step-by-step explanation:

Given data

line points (8,9)

slope=4

RTF equation

y-y1=m(x-x1)

y-9=4(x-8)

y-9=4x-32

y=4×-32+9

The length of the other leg of the given right triangle is [tex]\sqrt{70}[/tex].

A triangle is classified as a right triangle when it presents one of your angles equal to 90º.  The greatest side of a right triangle is called the hypotenuse. And, the other two sides are called legs.

The math tools applied for finding angles or sides in a right triangle are the trigonometric ratios or the Pythagorean Theorem.

The Pythagorean Theorem says (hypotenuse)²= (leg1)²+(leg2)². And the main trigonometric ratios are: sin (x) , cos  (x) and tan  (x) .

The question gives:

Therefore, from the Pythagorean Theorem, you will find the value of the other leg. See below.

[tex]9^2={\sqrt{11}^2 +{leg_2}^2[/tex]

[tex]81=11 +{leg_2}^2[/tex]

[tex]{leg_2}^2=81-11\\ \\ {leg_2}^2=70\\ \\ leg_2=\sqrt{70}[/tex]

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Answer: 2/11

Step-by-step explanation: there are 11 letters and 2 of them are p so the chances of getting p is 2/11

Answer:

2/11

Step-by-step explanation:

The total amount of tiles is 11. There are only 2 tiles that have the letter P on them.

Theoretical probability is the probability that should occur over many, many trials.

Theoretical probability = favorable outcomes / total outcomes.

In this scenario, the favorable outcome is the letter P. which there are two of. The total outcomes would be all the letters that make up the word MISSISSIPPI, or 11.

So your theoretical probability would be 2/11.

An expression for the volume of the figure as a polynomial in standard form will be;

⇒ V = π (3x³ - 16x² + 28x - 16)

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ V = π r² h

Now,

Here, Radius = x - 2

And, Height = 3x - 4

Substitute all the values, we get;

⇒ V = π r² h

⇒ V = π (x - 2)² (3x - 4)

⇒ V = π (x² + 4 - 4x) (3x - 4)

⇒ V = π (3x³ - 4x² + 12x - 16 - 12x² + 16x)

⇒ V = π (3x³ - 16x² + 28x - 16)

Thus, An expression for the volume of the figure as a polynomial in standard form will be;

⇒ V = π (3x³ - 16x² + 28x - 16)

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Answer:

x = -2 ; y = 1

Step-by-step explanation:

y = -2(x+2) + 1

y = 3x + 7

3x + 7 = -2x - 4 + 1

3x + 2x = -3 - 7

5x = -10

5/5 x = -10/5

x = -2

y = 3 (-2) + 7

y = -6 + 7

y = 1

By using the concept of maxima, it can be calculated that

Volume is maximum if the radius of the cone is 40 cm

What is maxima of a function?

Maxima of a function gives the maximum value of the function on a certain interval or on the whole domain.

Let the height of the cylinder be h and radius be r

Sum of height and circumference = h + 2πr

By the problem,

h + 2πr = 60

h = 60 -2πr

Volume(V) = π[tex]r^2[/tex] h

             = π[tex]r^2[/tex](60 - r)

             = 60π[tex]r^2[/tex] - π[tex]r^3[/tex]

[tex]\frac{dV}{dr} = 120\pi r - 3 \pi r^2[/tex]

For maximum volume

[tex]\frac{dV}{dr} = 0[/tex]

[tex]120\pi r - 3 \pi r^2 = 0\\[/tex]

[tex]3 r^2 = 120 r\\3r = 120 [r \neq 0]\\r = \frac{120}{3}\\r = 40 \ cm[/tex]

[tex]\frac{d^2V}{dr^2} = 120 \pi - 6 \pi r\\[/tex]

Putting r = 40

[tex]\frac{d^2V}{dr^2} = 120 \pi - 6 \pi \times 40\\\frac{d^2V}{dr^2} =120\pi - 240 \pi\\\frac{d^2V}{dr^2} = -120\pi < 0[/tex]

Hence Volume is maximum

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The height of Jamie's plant on the twenty-first day is 82.5 feet.

Here we have to find the height of Jamie's plant on the twenty-first day.

Data given:

First-day increase in the plant = 2.5 inches

On the fourth day increase in the plant = 14.5 inches

We can find the slope of the line:

m = (y2 - y1) / ( x2 - x1)

= (14.5 - 2.5) / (4 - 1)

= 12/3

= 4

Now we will find the equation of a line:

(y - y1) = m( x - x1)

( y - 2.5) = 4( x - 1)

y - 2.5 = 4x - 4

y = 4x - 1.5

Now substitute x = 21 in our equation.

y = 4(21) - 1.5

y = 84 - 1.5

= 82.5

Therefore we get the height of the plant as 82.5 feet.

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1) The bus took a 30-minute stop in the interval between D and E

2) The bus traveled the fastest in the interval between C and D

3) The bus was traveling at 60 miles per hour during this interval.

4) The average rate of speed of the bus over the entire journey is 35 miles /hr

Speed is the rate at which an object's position changes, measured in meters per second. For example, if an object starts at the origin, and then moves three meters in three seconds, its speed is one meter per second. The equation for speed is simple: distance divided by time

Given here for the first question we have there was no change in the distance in the interval between D and E thus bus must have stopped for 30 minutes.

2) The interval in which the bus travelled the fastest is between C and D

3) The Speed of the bus in this interval is S = 90/1.5

                                                                         = 60 miles/hr

4) The average speed of the bus over the entire trip is Sₐ = 140/4

                                                                                                = 35 miles/hr

Hence the above answers are correct ones.

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a) The maximum area of such a rectangle is 50 square units. b) The maximum area of such a rectangle is 36.

When graphed, a linear equation results in a straight line. Since each value of x results in just one value of y, this relationship is referred to as being one-to-one. When a quadratic equation is graphed, the result is a parabola that extends uphill or downward in the y direction, starting at a single point known as the vertex. Because there are two values for x for every value of y (aside from the y-value at the vertex point), the relationship between x and y is not one-to-one.

a) The given equation is 2y + 4x =40

Let the coordinates of the top right corner be (x,y).

Then, y = (40 -4x)/2

The area of the rectangle is given by A =xy

A= x x (40 -4x)/2

A = 20x-2x²

We have to find the maximum area of the rectangle.

Differentiate the expression for Area A with respect to x to get the slope of the curve

A’ = 20-4x

At the maximum area, A’=0

Therefore, 20 -4x =0

4x =20

X=5

Substituting x=5 in the equation of the line 2y + 4x =40

2y +20 =40

2y = 20

Y =20

Therefore, the coordinates of the top right corner of the rectangle are (5,10).

The maximum area of the rectangle is given by A = xy = 5 x 10 =50 sq.units

b) The maximum area of such a rectangle can be found by using the formula: A = lw,

where l is the length of the rectangle

w is the width of the rectangle

Since the base of the rectangle is on the x-axis and the upper left corner is on the line y=2x+6, the length of the rectangle is equal to the distance between y=2x+6 and the x-axis, which is 6. The width of the rectangle is equal to the distance between y=-2x+6 and the x-axis, which is also 6. Thus, the maximum area of such a rectangle is 36 square units.

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Answer: 3n+2

Step-by-step explanation:

The equation that represent the line that passes through ( 4, 30 and has a slope of -1/2 is x + 2y = 10 which is option C

The slope of a line is the ratio of the amount that y increases as x increases some amount. Slope tells you how steep a line is, or how much y increases as x increases. The slope is constant (the same) anywhere on the line.

equation of straight line is y = mx + c

when y = 3, x = 4, m = -1/2 we find c

3 = -1/2(4) + c

3 = -2 + c

c = 3+ 2 which is 5

Equation of straight line is

y = -1/2x + 5

multiply through by 2 o remove the fraction

2y = -x + 10

x + 2y = 10

In conclusion, the equation of line passing through point (4, 3) ith a slope of -1/2 is x + 2y = 10

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Answer: Factors to (2x-5)(x-8)

Step-by-step explanation:

I started by splitting the function into two groups by breaking the -21x into -5x and -16x. Leaving (2x^2 - 5x)(-16x + 40)

From there you want to have matching parenthesis so you pull out a x from the left and -8 on the right. Leaving x(2x-5) -8(2x-5)

Finally simplify to (x - 8)(2x - 5)

Answer:

[tex]\huge\boxed{\sf h = 24}[/tex]

Step-by-step explanation:

So,

2h + 8 + 3h - 3 + 31 + h = 180

Combine like terms

2h + 3h + h + 8 - 3 + 31 = 180

6h + 36 = 180

Subtract 36 to both sides

6h = 180 - 36

6h = 144

Divide 6 to both sides

h = 144/6

[tex]\rule[225]{225}{2}[/tex]

Answer: k = - 240

Step-by-step explanation:

2k + 480 = 3k + 720

2k - 3k = 720 - 480

k = - 240

Answer: K= -240

Step-by-step explanation:

1/3·k + 80 = 1/2·k+120

k = -240

k = -340/1 = -240

k = -240

By solving a quadratic equation, it can be calculated that

Length of the plot = 85 ft.

Width of the plot = 100 - 85 = 15 ft.

What is a quadratic equation?

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A two degree equation is known as quadratic  equation.

Here a quadratic equation needs to be solved.

Let the length be l ft. and the width be b ft.

Perimeter = 2(l + b) ft.

By the problem,

2(l + b) = 200

l + b = [tex]\frac{200}{2}[/tex]

l + b = 100

b = (100 - l) ft.

Now,

Area = l [tex]\times[/tex] b sq. ft.

        = [tex]l \times (100 - l)[/tex]

By the problem,

[tex]l \times (100 - l) = 1275\\100l - l^2=1275\\l^2 -100l+1275 = 0\\l^2 - 85l -15l + 1275 = 0\\l(l -85) - 15(l - 85) = 0\\(l -85)(l -15) =0\\l -85 = 0 \ or \ l -15 = 0\\l =85 \ or \ l =15[/tex]

If l = 15 ft.

b = 100 - 15 = 85 ft.

Which is not possible as length is always greater than the width

So, length of the plot = 85 ft.

Width of the plot = 100 - 85 = 15 ft.

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Answer: ( g+G) (x) =12+2x

Step-by-step explanation:

i used an math ap it is  an app you can get on your phone

Answer: y = 4x - 4

Step-by-step explanation:

We already have our slope, which is 4

(x , y) (2, 4) -> 2 is x, 4 is y

Substitute y = mx + b with the right numbers

4 = 4(2) + b

Solve

4 = 8 + b

Subtract 8 on both sides

-4 = b

Then put it in slope-intercept form

y = 4x - 4