Given that x is a nonnegative number, a student conjectured that x+4

Answer:

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

Step-by-step explanation:

Perp means perpendicular?

Perpendicular slopes are the opposite reciprocals of each other.  So the slope would be [tex]\frac{1}{2}[/tex]

Use -4 for x and 3 for y and the slope of [tex]\frac{1}{2}[/tex] to find the y intercept

y=mx +b

3 = [tex]\frac{1}{2}[/tex](-4) + b  

3 = -2 + b  Add 2 to both sides

5 = b

y = mx +b  We know the slope (m) is [tex]\frac{1}{2}[/tex] and the y intercept (b)  is 5.

y=mx+ b

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

The amount that is closest to Nathan's total costs after the 15% discount and including 6% sales tax, assuming tax is applied after the discount is applied would be $624. That is option A.

The discount on sales is the amount of money that is being deducted from the original price of an item by a seller to their customers.

The original price for labor= $299.88

The original price for parts = $ 307.54

The original price for others = $ 74.71

The total original price = $682.13

The discount of on the total price = 15%.

That is;

= 15/100 × 682.13

= 10,232.95/100

= $102.32

When discount is removed from the original price;

= 682.13 - 102.32

= $579.81

When the tax is acted on the discount total sales;

= 6/100 × 579.81

= $3,478.86/100

= $34.79.

The total cost after discount and tax would be;

= 579.81 + 34.79

= $614.59

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The number of different possible ways Makayla can line the textbooks up on her bookshelf would be= 24

This is defined as the multiplication of a figure down to the figure one and is often represented as n!.

The different types of text books that are being arranged at the bookshelf;

a Spanish textbook,

a math textbook,

a physics textbook, and

a writing textbook.

This is a total of 4. Therefore, the number of different possible ways they can be arranged; 4!= 4×3×2×1 = 24 ways.

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If Adam buys x stamps and Charlie buys 5 more stamps than Adam, then the expression in terms of x for the number of stamps Charlie buys is x + 5

The number of stamps that Adam buys = x

The expression is the mathematical statement that consist of different variable, numbers and arithmetic operators. The arithmetic operators are addition, subtraction, division and multiplication. The expression does not contains any equal signs or inequality signs

Charlie buys 5 more stamps than Adam.

Then the expression will be

The number of stamps that Charlie buys = x + 5

Hence, if Adam buys x stamps and Charlie buys 5 more stamps than Adam, then the expression in terms of x for the number of stamps Charlie buys is x + 5

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Answer: no solution

Step-by-step explanation:

distributing we have

(-2v-2) + 5v = (3v+3)-2

which will be equal to

3v -2 = 3v + 1

subtracting 3v we have

-2 = 1 which is false so no solution

Expression for the miles jonas ran this week is 6m + 3 where m is the miles ran in the last week.

Given that jonas ran 'm' miles in last week.

acc. to statement he run one mile more than twice the miles he ran last week, so the equation will now become:

2m + 1 = miles in this week.

Again if he tripled his goal then the equation would become :

3(2m + 1 ) = new goal

6m + 3 = new goal

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The measure of the angle x in the right triangle ABD is 38.06 degrees.

Points B, C and D lie on a straight line.

AC is perpendicular to BD.

BC = 4cm and BD = 24 cm.

Triangle ABC has area 36 [tex]cm^{2}[/tex]

To Calculate the size of angle x.

What is a right angle triangle?

A right angle triangle has one of its angles as 90 degrees. Therefore, the sides of the triangle can be found using trigonometric ratios.

area of a triangle = 1 / 2 bh

where

   b = base of triangle

   h = height of triangle

Hence,

area of a triangle =  1 / 2 × 4 × h

24 = 2h

h = 24 / 2

h = 12 cm

DC =  24 - 4 = 20 cm

AC = 12 cm

tan x = opposite / adjacent

tan x = 12 / 20

x = tan ⁻¹ 0.6

x = 38.06

x = 38.06 degrees.

Hence the answer is the measure of the angle x in the right triangle ABD is 38.06 degrees.

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To find the Area of the sas triangle with side lengths 29 and 36 and included angle 62 degrees is 459.36.

A triangle's feature known as SAS, or "Side, Angle, Side," has two sides and an angle that are both known.

The space occupied between the sides of the SAS triangle in a plane can thus be calculated with the use of the SAS triangle area formula.

The formula to find area of SAS triangle is:

Area = ½ ab Sin C = ½ × 29 × 36 × sin 62

Thus, Area = 522 × sin 62 = 522 × 0.88 = 459.36

Hence, Area of SAS triangle with side lengths 29 and 36 and included angle 62 degrees is 459.36.

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Answer: y=x-1

Step-by-step explanation:

to solve for the slope you do

4-1=3

5-2=3

3/3= 1x=x

to solve for the y-intercept you do

1=1(2)

1-2=-1

he has 90 more then he originally had

Step-by-step explanation:

The graph △ABC and its image is  A′(2, 4), B′(-2, -2), C′(4, −2).

What is the coordinate rule?

Rules for the coordinate plane: (x, y) Where h and k are the horizontal and vertical shifts, respectively, we have (x ± h, y ± k).

Here, we have

The coordinate rule for dilation with k = 2 to find the coordinates of the vertices of the image.

(x, y) → (2x, 2y)

A(2, 1) → A′(2, 4)

B(4, 1) → B′(-2, -2)

C(4, −1) → C′(4, −2)

Each side length of △A′B′C′ is longer than its corresponding side by the scale factor. The corresponding sides are parallel because their slopes are the same.

Hence, after a dilation centered at the given point using the given scale factor the image is A′(2, 4), B′(-2, -2), C′(4, −2).

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Answer:

3 13333/50000

Step-by-step explanation:

Answer:

The fraction can be 3(26666)/(100000)

Step-by-step explanation:

-4.5720m is the best number to represent this integer.

What is integer?

An integer (pronounced IN-tuh-jer) is a whole number (not a fractional number) that can be positive, negative, or zero.

What is Fractional number?

A fraction is numerical value that is a part of a whole. It is evaluated by dividing a whole into number of parts. For example, ½ represents half of a whole number or a thing.

Given that;

Kayla want deep sea fishing,

So, she cast her line = 15 feet under water

First, we change feet into meter,

1 ft = 0.3048m

so, in 15feet there is ;

15 x 0.3048 = 4.5720 m

∴ Kayla goes underneath values are consider into negative integer.

∵ the correct answer is -4.5720m under the sea

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Answer:

6 weeks = 42 days

Step-by-step explanation:

6 weeks = 42 days​​ Formula: multiply the value in weeks by the conversion factor '7'. So, 6 weeks = 6 × 7 = 42 days.

Answer:

Easy its answer is 60. OK

Answer:

6 x 10 = 60 / sixty

Step-by-step explanation:

The graph of the function is graph (a) and the table of values of the function f(x) = (3/4)ˣ is

x  -2       -1      0     1      2

y  16/9   4/3   1     3/4   9/16

From the question, we have the following equation that can be used in our computation:

f(x) = (3/4)ˣ

The x values on the table of values are

x = -2, -1, 0, 1 and 2

So, we replace x in the function f(x) = (3/4)ˣ with x = -2, -1, 0, 1 and 2

So, we have

f(-2) = (3/4)⁻² = 16/9

f(-1) = (3/4)⁻¹ = 4/3

f(0) = (3/4)⁰ = 1

f(1) = (3/4)¹ = 3/4

f(2) = (3/4)² = 9/16

This implies that

The table of values is

x  -2       -1      0     1      2

y  16/9   4/3   1     3/4   9/16

When this is represented on a graph, it crosses the y-axis at (0, 1)

This is represented by graph (a)

Hence, the graph of the function is graph (a)

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Total number of cases possible when 3 Dice roll= 6^3=216

Now we have to find the number of cases when values shown on two of the dice sum to the value shown on the remaining, probability is 0.28

Now we need to count the instances where the values on two dice add up to the value on the other die, which is one. If a die shows 6, the remaining two dice must either show (5,1) or (4,2), or (3,3)

Total number of scenarios that could occur in this situation: 3!+3!+3!/2!=15

2. If a die shows 5, the other two dice must either display (4,1) or (3,2)

The total cases that could occur in this scenario are 3!+3! =12.

3. If a die shows 4, the other two dice must either display (3,1) or (2,2)

Total number of scenarios that could occur in this situation: 3!+3!/2!=9

4. If a die shows 3, the other two dice must also show 3. (2,1)

The total number of cases possible in this scenario= is 3!/2! =3

Total cases possible= 15+12+9+6+3=45

Probability= 45/216=5/24= 0.208

probability is 0.208

correct option is (D).

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The question was incomplete. Check below the complete question.

Three fair six-sided dice are rolled. What is the probability that the values shown on two of the dice sum to the value shown on the remaining die?

(A) 1/6

(B) 13/72

(C) 7/36

(D) 5/24

(E) 2/9

Answer:

2 4/9

Step-by-step explanation:

1.)  10/9-(-1 1/3)

2.) 10/9+ 1 1/3

3.) 3x1+1=4/3

4.)10/9+4/3

5.)(10×3)+(4×9)

6.)30+36

7.)66/27

8.) 2 4/9

Answer:

25

Step-by-step explanation:

(33 + 2z)^2 when z = -19

substitute in -19 in place of z:

(33 + 2(-19))^2

(33 + (-38))^2

(33 -38)^2

(-5)^2

= 25

Answer:

[tex]5x^4-24x^3-34x^2-12x[/tex]

The two linear equations are parallel lines

parallel lines are straight line that never intersects or meet each other.

some features of parallel lines include

In the problem, x = 1 and x = -8 are both vertical lines. In a cartesian coordinate x = 1 is in the positive coordinate and x = -8 is in the negative coordinate

The slope of both lines are zero

The equal distance apart is calculated as

| -8 - 1 | = 9 units

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The equation is  -2 x -3x + 1 and value of x is 1/5

Given,

In the question:

The equation is :

-2x -3x +1 =?

To solve the above equation:

Now, According to the question:

For finding the value of x

-2x -3x +1

Calculate sum or difference

-5x + 1

-5x = -1

x = 1/5

Hence, The equation is  -2 x -3x + 1 and value of x is 1/5

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The height and radius of the cone-shaped cup that will use the smallest amount of paper, that is the maximum volume is  3.72 and  2.632 respectively.

Formula used in the solution is

Volume of the cone= (1/3)π(r^2)h

Area of the cone= πr√(l^2 + r^2)

Given, the volume of the cone is 27 cm^3.

(1/3)π(r^2)h =27

Simplifying the equation to get the value of r.

π(r^2)=81/h

r^2=81/hπ

[tex]r=\sqrt{\frac{81}{\pi h} }[/tex]

Substituting the value of r in area, we get

[tex]A=\pi \sqrt{\frac{81}{\pi h} } \sqrt{h^{2} + \frac{81}{\pi h} }[/tex]

[tex]\frac{dA}{dh} =\pi \sqrt{\frac{81}{\pi h} } \sqrt{h^{2} + \frac{81}{\pi h} }[/tex]

dA/dh=√81 × (π - 162/[tex]h^{3}[/tex]) × 1/√(πh + 81/[tex]h^{2}[/tex])

At dA/dh=0, we will get,

√81 × (π - 162/[tex]h^{3}[/tex]) × 1/√(πh + 81/[tex]h^{2}[/tex])=0

√81 × (π - 162/[tex]h^{3}[/tex])=0

[tex]\pi - \frac{162}{h^{3} }=0[/tex]

Thus, [tex]\pi h^{3} -162=0[/tex]

[tex]\pi h^{3} =162[/tex]

[tex]h^{3} =\frac{162}{\pi}[/tex]

h^3= 51.5662015618

h= 3.7221

Now, substitute h in radius,

[tex]r=\sqrt{\frac{81}{\pi \times 3.7221} }[/tex]

r=2.632

Hence, the height of the cone shaped cup is 3.7221 and the radius is 2.632.

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Two cars leave at the same time but travel at different speeds. Car a travels 20 miles per hour faster than car b. In the time it takes car a to travel 350 miles, car b travels 250 miles.

The number of hours needed for Car B to overtake Car A is greater then 5 hours, Car A = 60km/h; Car B= 75km/h.

After h hours, the number of kilometers covered by Car A is 60*h

After h hours, the number of kilometers covered by Car B is 75(h-1)… since Car B started one hour later.

For Car B to overtake Car A,

75(h-1) > 60h

75h- 75 > 60h

75h - 60h > 75

15h > 75

h > 75/15

h > 5 hours

Hence the answer is, the number of hours needed for Car B to overtake Car A is greater then 5 hours, Car A = 60km/h; Car B= 75km/h.

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The cost of running the ad for three weeks by Enrique will be $207.

To estimate the overall cost for three weeks, we need the amount for one week. Further, we need the cost for six lines advertisement. So, performing calculation for the cost of advertisement of six lines in one week.

Total cost in one week = charge for first two lines + number of additional lines × cost of each additional line

Keep the values in formula. Out of six lines, the additional will be 4 as (6-2=4).

Total cost in one week = 42 + 4×6.75

Performing multiplication

Total cost in one week = 42 + 27

Performing addition

Total cost in one week = $69

Cost for three weeks = 69×3

Performing multiplication

Cost for three weeks = $207

Thus, Enrique will pay $207 for three weeks.

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Answer:

hope this helps

Step-by-step explanation:

800 Kenyan Shilling equals

6,57 United States Dollar

23 Nov, 02:01 UTC · Disclaimer

800

Kenyan Shilling

Kenyan Shilling

6.57

United States Dollar

United States Dollar

Answer:

800 Kenyan shillings = 6.57 U.S. Dollars.

Step-by-step explanation:

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20 m longer it is to walk from A to B along the diagonal of the walk than to walk along the edges of the park.

Given:

Assume ABCD is a rectangular park of right triangles ABC of length = 40m, width = 30m, ∠C = 90

In the right-angled triangle ABC,

By Pythagoras' theorem,

AB² = AC² + BC²

AB² = 30² + 40²

AB² = 900 + 1600

AB² = 2500

AB² = [tex]\sqrt{2500}[/tex]

AB = 50m

The distance from A to B along the diagonal of the park = 50m

The distance from A through to C = 30m.

The distance from A through C to B = 30 + 40 = 70m.

Therefore, 20 m longer it is to walk from the diagonal of the park to walk along the edges of the park.

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Answer:

f(x) = 4x -9

Step-by-step explanation:

The slope-intercept form is f(x) = mx + b, where m is the slope and b is the y-intercept.

First, we need to find the slope, m.

=  [tex]\frac{-5-(-17)}{1-(-2)}[/tex]

= [tex]\frac{12}{3}[/tex]

= [tex]4[/tex]

m = 4, and now we plug it into the equation, using any given point, (1,-5) in this case.

f(x) = 4x + b

(-5) = 4(1) + b

-5 = 4 + b

b = -9

Now we find the equation: f(x) = 4x -9, and if we plug (-2,-17) in, we should get the same number as if we plug in (1,-5).