A florist gathered data about the weekly number of flower deliveries he made to homes and to businesses for several weeks. He used a graphing tool to organize the data in a scatter plot, with x representing the number of home deliveries and y representing the number of deliveries to businesses. Then he used the graphing tool to find the equation of the line of best fit: y = 0.555x + 1.629. Based on the line of best fit, approximately how many deliveries are predicted to be made to homes during a week with 50 deliveries to businesses?

Answer:

11 and 2/3.

Step-by-step explanation:

6 and 3/12 = 72/12 + 3/12 = 75/12.

5 and 5/12 = 60/12 + 5/12 = 65/12.

75/12 + 65/12 = 140 / 12 = 70 / 6 = 35 / 3 = 11 and 2/3.

Hope this helps!

Answer: 11 2/3

Step-by-step explanation:

[tex]6\frac{3}{12}+5\frac{5}{12}[/tex]

[tex]Add\:whole\:numbers[/tex]

[tex]6+5=11[/tex]

[tex]Combine\:fractions[/tex]

[tex]\frac{3}{12}+\frac{5}{12}=\frac{8}{12}[/tex]

[tex]Simplify[/tex]

[tex]\frac{8}{12} =\frac{2}{3}[/tex]

[tex]11+\frac{2}{3}[/tex]

[tex]=11\frac{2}{3}[/tex]

Answer:  39) 1              40) 2

                41) 1              42) 0

Step-by-step explanation:

39)     ∠A = ?        ∠B = ?       ∠C = 129°

            a = ?          b = 15         c = 45

Use Law of Sines to find ∠B:

[tex]\dfrac{\sin B}{b}=\dfrac{\sin C}{c} \rightarrow\quad \dfrac{\sin B}{15}=\dfrac{\sin 129}{45}\rightarrow \quad \angle B=15^o\quad or \quad \angle B=165^o[/tex]

If ∠B = 15°, then ∠A = 180° - (15° + 129°) = 36°

If ∠B = 165°, then ∠A = 180° - (165° + 129°) = -114°

Since ∠A cannot be negative then ∠B ≠ 165°

∠A = 36°        ∠B = 15°       ∠C = 129°       is the only valid solution.

40)      ∠A = 16°        ∠B = ?       ∠C = ?

             a = 15           b = ?         c = 19

Use Law of Sines to find ∠C:

[tex]\dfrac{\sin A}{a}=\dfrac{\sin C}{c} \rightarrow\quad \dfrac{\sin 16}{15}=\dfrac{\sin C}{19}\rightarrow \quad \angle C=20^o\quad or \quad \angle C=160^o[/tex]

If ∠C = 20°, then ∠B = 180° - (16° + 20°) = 144°

If ∠C = 160°, then ∠B = 180° - (16° + 160°) = 4°

Both result with ∠B as a positive number so both are valid solutions.

Solution 1:  ∠A = 16°        ∠B = 144°       ∠C = 20°    

Solution 2:  ∠A = 16°        ∠B = 4°       ∠C = 160°    

41)       ∠A = ?        ∠B = 75°       ∠C = ?

             a = 7           b = 30         c = ?

Use Law of Sines to find ∠A:

[tex]\dfrac{\sin A}{a}=\dfrac{\sin B}{b} \rightarrow\quad \dfrac{\sin A}{7}=\dfrac{\sin 75}{30}\rightarrow \quad \angle A=13^o\quad or \quad \angle A=167^o[/tex]

If ∠A = 13°, then ∠C = 180° - (13° + 75°) = 92°

If ∠A = 167°, then ∠C = 180° - (167° + 75°) = -62°

Since ∠C cannot be negative then ∠A ≠ 167°

∠A = 13°        ∠B = 75°       ∠C = 92°       is the only valid solution.

42)      ∠A = ?         ∠B = 119°       ∠C = ?

             a = 34         b = 34           c = ?

Use Law of Sines to find ∠A:

[tex]\dfrac{\sin A}{a}=\dfrac{\sin B}{b} \rightarrow\quad \dfrac{\sin A}{34}=\dfrac{\sin 119}{34}\rightarrow \quad \angle A=61^o\quad or \quad \angle A=119^o[/tex]

If ∠A = 61°, then ∠C = 180° - (61° + 119°) = 0°

If ∠A = 119°, then ∠C = 180° - (119° + 119°) = -58°

Since ∠C cannot be zero or negative then ∠A ≠ 61° and ∠A ≠ 119°

There are no valid solutions.

Answer:

(-5,-28)

Step-by-step explanation:

Use the vertex form y=a(x-h)^2

a=1

h=-5

k=-28

vertex=(h,k)

Answer:  A.  (-5, -28)

Step-by-step explanation:

f(x) = x² + 10x - 3

     a=1    b=10  

The axis of symmetry is the x-coordinate of the vertex:

[tex]AOS: x=\dfrac{-b}{2a}\quad =\dfrac{-(10)}{2(1)}=-5[/tex]

Input x = -5 into the original equation to find the y-coordinate of the vertex:

f(-5) = (-5)² + 10(-5) - 3

      =  25      -50    -3

      = -28

x, y coordinate of the vertex is: (-5, -28)

Answer:

(Choice C) C Infinitely many solutions.

Step-by-step explanation:

First of all, let us learn about solutions of linear equations in one variable.

The linear equations in one variable usually have one solution.

For example:

[tex]2x =x+3[/tex]

When we solve this:

[tex]2x-x=3\\\Rightarrow x=3[/tex]

One solution is [tex]x = 3[/tex]

But there can be situations when there are

1. No solutions:

For example:

[tex]x =x+9[/tex]

It means that value x is equal to value of x+9 which can never be true.

Truth is the term on Right Hand Side is always 9 greater than the value of Left Hand Side.

Such situations are called Contradictions.

Here, no solution exists.

2. Infinitely many solutions:

For example:

[tex]x+2x+8=3x+8[/tex]

The Right hand Side is just the simplification of the LHS.

And LHS is always equal to RHS no matter what is the value of variable [tex]x[/tex].

It means there are infinitely many solutions for this equation.

-----------------------------------------------------

Now, let us have a look at the given equation in the question:

[tex]-4x-7+10x=-7+6x[/tex]

Taking LHS: [tex]-4x-7+10x[/tex]

Taking the terms with [tex]x[/tex] on one side:

[tex]-7+10x-4x\\\Rightarrow -7+6x[/tex]

which is equal to Right Hand Side.

Hence, as we discussed in case 2 above.

For every value of [tex]x[/tex] the equation holds true.

[tex]\therefore[/tex] There exists infinitely many solutions to the given equation.

Correct answer is:

(Choice C) C Infinitely many solutions

Answer:

C Infinitiy solutions

Step-by-step explanation:

Answer:

Hello! The answer to your question will be below.

Step-by-step explanation:

Attached below....

Number form:820,245

Word form: eight hundred twenty thousand two hundred forty-five

Expanded form: 800,000+20,000+0+200+40+ 5

Place value chart below!!

Hope this helps! :)

⭐️Have a wonderful day!⭐️

Answer:

[tex]\boxed{D = 15/8}[/tex]

Step-by-step explanation:

=> [tex]x^2-\frac{1}{2} x +\frac{1}{2} = 0[/tex]

Comparing it with the standard form of quadratic equation [tex]ax^2+bx+c = 0,[/tex] we get

a = 1, b = -1/2 and c = 1/2

Discriminant = [tex]b^2-4ac[/tex]

[tex]D = (-1/2)^3+4(1)(1/2)\\D = -1/8 + 2\\D = \frac{-1+16}{8} \\D = \frac{15}{8}[/tex]

Answer:

x = 1

Step-by-step explanation:

Given

8 - 5(x - 3) = 18 ( subtract 8 from both sides )

- 5(x - 3) = 10 ( divide both sides by - 5 )

x - 3 = - 2 ( add 3 to both sides )

x = 1

Answer:

see attached diagram

Step-by-step explanation:

1.  1 and 70 are angles on a line (supplementary)

2. vertical angles with 70

3. angles on a line are supplementary

4. 2 and 4 are supplementary interior angles between parallel lines m & n

5. corresponding angle with 70

Answer:

28 is thee answer

Step-by-step explanation:

Answer:

No solutions.

Step-by-step explanation:

we have y=3x

to get y=3x+4

we just move every point of y=3x ,4 units up

and to get y=3x+7

we just move every point of y=3x, 7 units up

and it's pretty clear they are parallels, because it's the same line, just moved.

Answer:

No solutions.

Step-by-step explanation:

Answer:

45/58.4

Step-by-step explanation:

Answer: part 1: 45/54.8.

Part 2: 55.2

Step-by-step explanation:

Edge

Answer:

210 students

Step-by-step explanation:

The total number of students surveyed was

19+14+30+23+14 = 100

The fraction that picked Yosemite is 14/100

Multiply that fraction by the total number of students

1500* 14/100 = 210

Answer:

210 students

Step-by-step explanation:

vote me brainliest plz

Answer:

Not a triangle

Step-by-step explanation:

Side lengths do not adhere to the triangle inequality theorem. Which states that the sum of the side lengths of any 2 sides of a triangle must exceed the length of the third side.

Answer:

The quotient is 4x-20/x+5

Step-by-step explanation:

The quotient is simply the result of the division

Through factorization, can express x^2 -25 as (x-5)(x+5)

Also x^2 + 10x + 25 as (x+5)(x+5)

and lastly 4x-44 as 4(x-11)

Now when we divide, the numerator of the second fraction will come down while the denominator goes up;

So we have ;

x^-25/x-11 * 4x-44/x^2 + 10x + 25

Now, making use of the factorizations, we have ;

(x-5)(x+5)/(x-11) * 4(x-11)/(x+5)(x+5)

Canceling out like factors, we have

= 4(x-5)/(x+5)

Answer:

D

Step-by-step explanation:

Solution:-

- The given question pertains to the translation of a function f ( x ) over the cartesian coordinate system.

- There are certain guidelines that must be followed when performing any translations of any function f ( x ).

Translation Guideline

  Vertical shifts

  Horizontal shifts

Where, " a " and " b " are constants for respective horizontal and vertical shifts.

- We can make a generalized form of the translated function f ( x ) to f* ( x ) as follows:

 Generalized shift: f ( x ) - > f ( x ± a ) ± b

Where,   a: Unit of horizontal shift

               b: Unit of vertical shift

- We are given a function f ( x ) defined. We are to replace the variable ( x ) with ( x + 7 ).

                          [tex]f ( x ) = x^2\\\\f^*(x) = f ( x + 7 ) = (x + 7 )^2[/tex]

- Use the above given guidelines to determine the type of shift. Take a look at the Left shift in the horizontal shift section.

- Left shift : f ( x ) -> f ( x + a ) = f ( x + 7 )

Answer: The function f ( x ) is slided a = 7 units to the left!              

Answer:

Step-by-step explanation:

We know that the bull's eye target has a diameter of 20 centimeters, which equals 200 milimeters.

So, we find the area

[tex]A_{target}= \pi (100mm) ^{2} =(3.14)(10000) mm^{2} =31,400 mm^{2}[/tex]

Therefore, the right answer is B.

Answer:

D. 31,400mm^2

Step-by-step explanation:

Answer:

k=180-23-90=67...................

Answer:

< k = 67°

Step-by-step explanation:

HJ tangent to HG => < H = 90°

< K = 180° - (<J + <H)

= 180° - (90° + 23°)

= 180° - 113°

= 67°

Answer:

Step-by-step explanation:

width of a rectangle=11 cm=11*5=55 ft

length of  rectangle =8 cm= 8*5=40

Area=55*40=2220 ft²

height=3 cm=3*5=15

base=11 cm=11*5=55

Area of a triangle=base*height/2=15*55/2= ft^2

2220+412.5=2632.5 ft^2

this number is close to 2615 if the square unit on the grid =1 cm

Answer:

Both have the same period which is 2π

Step-by-step explanation:

Answer:

Step-by-step explanation:

The length is 3 × width.

l = 3w

The perimeter is 24 centimeters.

P = 2l + 2w

24 = 2(3w) + 2w

24 = 6w + 2w

24 = 8w

3 = w

The width is 3 centimeters.

l = 3(3)

l = 9

The length is 9 centimeters.

Area is l × w.

A = l × w

A = 9 × 3

A = 27

The area is 27 squared centimeters.

Answer:

27

Width= x

Length= x × 3 =3x

so, 3x+3x+x+x=24

8x=24

x=24/8

x=3

so, length=3(3)=9

width=3

therefore,

Area=9×3

=27

Answer:

144 m²

Step-by-step explanation:

top triangle area: (8 x 6) / 2 = 24

bottom triangle area: (8 x 6) / 2 = 24

back rectangle area: 8 x 4 = 32

left rectangle area: 6 x 4 = 24

right rectangle area: 10 x 4 = 40

add all: 144 m²

Answer:

There are 5 surfaces for which you will have to calculate area.

the back is 4 by 8  = 32 mi^2

The bottom is 4 by 6 = 24 mi^2

the tilted ramp 4 by 10 = 40 mi^2

There are 2 side triangles 8 by 6  area of 1 triangle = 8*6/2 = 24 mi^2

area of BOTH triangles = 2 * 24 = 48 mi^2

Total area = 32 + 24 + 40 + 48 = 144 mi^2

Step-by-step explanation:

Area of a triangle is 1/2 x base x height.

The graphed triangle has height of 2 and base of 2.

Area = /2 x 2 x 2 = 2 square units.

The triangle gets enlarged by a scale factor of 2, so the new height would be 2 x 2 = 4 and the new base would be 2 x 2 = 4

Area of enlarged triangle = 1/2 x 4 x 4 = 8 square units.

The answer is C) 8

Answer:

264 ft³

Step-by-step explanation:

The following data were obtained from the question:

Pi (π) = 3.14

Height (h) = 21 ft

Radius (r) = 2 ft

Volume (V) =..?

The volume of the cylinder can be obtained as follow:

V = πr²h

V = 3.14 × 2² × 21

V = 3.14 × 4 × 21

V = 264 ft³

Therefore, the of the cylinder is 264 ft³

Answer:

A

Step-by-step explanation:

Answer:

radius ≈ 10.77 cm

Step-by-step explanation:

The segment from the centre O to the chord is a perpendicular bisector.

Thus 2 right triangles are formed with legs 10 cm and 4 cm ( half of XY )

The radius r is the hypotenuse.

Using Pythagoras' identity, then

r² = 4² + 10² = 16 + 100 = 116 ( take the square root of both sides )

r = [tex]\sqrt{116}[/tex] ≈ 10.77 cm ( to 2 dec. places )

Answer:

Step-by-step explanation:

perpendicular from center always bisects the chord of circle.

1/2 of chord=1/2×8=4 cm

[tex]r=\sqrt{4^2+10^2} =\sqrt{16+100} =\sqrt{116} \approx 10.77 ~cm[/tex]

Answer:

(1, −2)  (0, 1) (−1, 1)

Step-by-step explanation:

−2x+y≥−4

Substitute the points into the inequality and see if it is true

(0, −5)

-2(0) + -5 ≥−4

0-5 ≥−4

-5≥−4

False  not a solution

(1, −2)

-2(1) -2 ≥−4

-2-2 ≥−4

-4≥−4

True    it is a solution

(3, −1)

-2(3) -1 ≥−4

-6 -1 ≥−4

-7 ≥−4

False, not a solution

(0, 1)

-2(0) +1 ≥−4

0+1 ≥−4

1 ≥−4

True it is a solution

(−1, 1)

-2(-1) +1≥−4

2+1≥−4

3≥−4

True it is a solution

Answer:

(1.-2)

(0.1)

(-1,.-1)

Step-by-step explanation:

To solve this we have to plug in each point to see which one would work.

Inequality: -2x + y >= -4

First let's plugin (0,-5):

-2x + y >= -4

-2(0) + (-5) >= -4

0 - 5 >= -4

-5 >= -4 is wrong.

Now let's plugin (1,-2)

-2x + y >= -4

-2(1) + (-2) >= -4

-2 - 2 >= -4

-4 >= -4 is correct

Now let's plugin (3,-1):

-2x + y >= -4

-2(3) + (-1) >= -4

-6 - 1 >= -4

-7 >= -4 is wrong

Now let's plugin (0,1):

-2x + y >= -4

-2(0) + (1) >= -4

0 + 1 >= -4

1 >= -4 is correct

Now let's plugin (-1,1):

-2x + y >= -4

-2(-1) + (1) >= -4

2 + 1 >= -4

3 >= -4 is correct

Would appreciate if you gave me brainliest :)

Answer:

p=7Q/2

Step-by-step explanation:

Original number of students:

p students to do 1 job in 25 days.

Let r= the rate for 1 student.

pr*25=1

pr*25=1 is the work rate equation for p students.

Lesser number of students:

p-Q students came to do the job and time required was 35 days.

(P-Q)*r*35=1.

The unknowns are p, Q and r

Equate the original number of students and the lesser number of students

pr*25=(P-Q)*r*35

25rp=35rp - 35Qr

Collect like terms

25rp-35rp = -35Qr

Divide both sides by -5

-5rp+7rp=- 7rp

It can be re written as

7rp-5rp=-7Qr

2rp=7Qr

Make p the subject of the formula

p=7Qr/2r

p=7Q/2

p=7Q/2 is the original number of students

-10rp = -35Qr

The system of these two equations can be solved for p. See the THREE unknown

variables, p, r, and Q. You might assume that either r or Q would be a constant.

Answer:

66.63

Step-by-step explanation:

To find the diagonal length, use Pythagorean’s theorem.

Diagonal = √45^2 + 45^2 = √2025+2025 = √4050 = 63.63.

Hope this helps

Answer:

It's 144 square units

Step-by-step explanation:

The pyramid has a square base with 8 sides and a slant height of 5

a=8

l=5

The total are of the square base pyramid is

A= [tex]a^{2}[/tex]+2al

a is side length of square and l is slant height

A= [tex](8)^{2}+2[/tex] x 8 x 5

A=64+80

A=144