a group of 5 friends is out to dinner Each of the friends will order the dinner special and they have a coupon for $10 off the entire bill which equation can be used to find the total cost of all the dinners after the coupon is applied.

(110011)2 = (51)10

Step by step solution

Step 1: Write down the binary number:

110011

Step 2: Multiply each digit of the binary number by the corresponding power of two:

1x25 + 1x24 + 0x23 + 0x22 + 1x21 + 1x20

Step 3: Solve the powers:

1x32 + 1x16 + 0x8 + 0x4 + 1x2 + 1x1 = 32 + 16 + 0 + 0 + 2 + 1

Step 4: Add up the numbers written above:

32 + 16 + 0 + 0 + 2 + 1 = 51.

So, 51 is the decimal equivalent of the binary number 110011.

Answer: Choice D. [tex]\angle A \cong \angle E[/tex]

Explanation: Since AB is parallel to ED, this means the alternate interior angles A and E are congruent as marked below.

Angle A is congruent to angle E by alternate interior angle theorem. Therefore, option D is the correct answer.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

Given that, triangle CAB is similar to triangle CED and AB is parallel to ED.

From the given figure, AB=7 miles, DC=16 ft, EC=12 ft and DE=21 ft.

Here, in figure,

∠A ≅ ∠E  (Alternate interior angles)

∠B ≅ ∠D  (Alternate interior angles)

∠ACB ≅ ∠DCE  (Vertically opposite angles are congruent)

Therefore, option D is the correct answer.

To learn more about the similar triangles visit:

https://brainly.com/question/25882965.

#SPJ7

Answer:

4444444444444444

Step-by-step explanation:

44444444

Answer:269276796088

Step-by-step explanation:

Answer:

99

Step-by-step explanation:

4x³-2x²+3x​

4×3³-2×3²+3×3

4(27)-2(9)+9

108-18+9

99

99

=(4)(27)−2(32)+(3)(3)

=108−2(32)+(3)(3)

=108−(2)(9)+(3)(3)

=108−18+(3)(3)

=90+(3)(3)

=90+9

=99

Answer:

x=4and -5/7

Step-by-step explanation:

i hope it will be easy

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{Equation}\downarrow[/tex]

[tex]\large\textsf{(2x - 8)(7x + 5) = 0}[/tex]

[tex]\large\text{Step-by-Step}\downarrow[/tex]

[tex]\large\text{SIMPLIFY EACH SIDES OF THE EQUATION}[/tex]

[tex]\large\textsf{14x}\mathsf{^2} \large\textsf{ - 14x - 40 = 0}[/tex]

[tex]\large\text{FACTOR the LEFT SIDE of the EQUATION}[/tex]

[tex]\large\textsf{2 (7x + 5) (x - 4) = 0}[/tex]

[tex]\large\text{SET the FACTORS to EQUAL 0}[/tex]

[tex]\large\textsf{7x + 5 = 0 OR x - 4 = 0}[/tex]

[tex]\large\text{SIMPLIFY BOTH OF YOUR EQUATIONS \& YOU HAVE YOUR ANSWER}[/tex]

[tex]\boxed{\boxed{\large\textsf{Therefore, your ANSWER is: \bf x = }\mathsf{\bf - \dfrac{5}{7}\large\textsf{ \bf or x = 4}}}} \huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

V = 7234.56 km^3

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

V = 4/3 (3.14) (12)^3

V = 7234.56 km^3

Answer:

7234, 56 km³

Step-by-step explanation:

π×R³×4/3=3.14×1728×4/3=7234, 56 km³

Answer:

∠ 3 = 90°

Step-by-step explanation:

∠ 3 and ∠ 4 are adjacent angles on a straight line and sum to 180° , then

∠ 3 + ∠ 4 = 180°

∠ 3 + 90° = 180° ( subtract 90° from both sides )

∠ 3 = 90°

Answer:

24

Step-by-step explanation:

The question is asking for the net area from x=3 to x=10.

It gives you the net area from x=3 to x=5 being -18.

It gives you the net area from x=5 to x=10, being 42.

Together those intervals make up the interval we want to find the net area for.

-18+42=42-18=24

Answer:

[tex]\displaystyle \int\limits^{10}_3 {f(t)} \, dt = 24[/tex]

General Formulas and Concepts:

Calculus

Integration

Integration Property [Splitting Integral]:                                                               [tex]\displaystyle \int\limits^c_a {f(x)} \, dx = \int\limits^b_a {f(x)} \, dx + \int\limits^c_b {f(x)} \, dx[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \int\limits^{5}_3 {f(t)} \, dt = -18[/tex]

[tex]\displaystyle \int\limits^{10}_5 {f(t)} \, dt = 42[/tex]

[tex]\displaystyle \int\limits^{10}_3 {f(t)} \, dt[/tex]

Step 2: Integrate

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

Answer:

-1

Step-by-step explanation:

im pretty sure its right

sry if it not good luck!!

Step-by-step explanation:

AC = 20

AB = 18

BC² = 20²+ 18² -2•20•18•cos(52°)

BC² = 280.72

BC = √280.72

BC ≈ 16.75

Angle C:

18² = 20² + 16.75² -2•20•16.75•cos(C)

324 = 400 + 280.72 -670•cos(C)

cos(C) = -356.72/-670

cos(C) ≈ 0.53

acos(0.53) = C

C = 57.8°

Angle B:

180-52-57.8 = 70.2°

Answer:

√122

Step-by-step explanation:

To find the distance/length between two points

Use this formula: [tex]\sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

[tex]\sqrt{(1 - 2)^2 + (3 + 8)^2}[/tex]

[tex]\sqrt{(-1)^2 + (11)^2}[/tex]

[tex]\sqrt{1 + 121}[/tex]

[tex]\sqrt{122}[/tex]

Answer:

in 3.04 years the will give required intrest

Answer:

Step-by-step explanation:

draw a parallel line to x at a distance of 23 cutting the quadrilateral in two points.

A right angle is formrd at the bottom.

Hypotenuse=59

one side=45-23=22

x= other side=√(59²-22²)=√(59-22)(59+22)=√((37)(81))=9√(37)≈54.74

Answer:

3.465 %

Step-by-step explanation:

10000 = 5000 [tex]e^{20r}[/tex]

2= [tex]e^{20r}[/tex]

ln(2) = 20r ln(e)

r = ln(2)/20

r = 0.03465

Answer:

(y/7)x(4+9)

Step-by-step explanation:

statement one y/7

statement two 4+9

(y/7)x(4+7)

Answer:a small sample size

Step-by-step explanation:

From the information given in the question, we are informed that Sandra developed a program that was designed to increase reading comprehension scores in 6th graders and she then randomly selects three students and has them participate in her program.

After comparing the mean score from the students who completed her program to three students who did not participate in the program, she finds no significant difference between their mean scores, it should be noted that the reason for this will be because the sample size is small.

If a large sample size was used, this could have been different as thsi could result in a significant difference between their mean scores.

Answer:

56

Step-by-step explanation:

Answer:

56 hours

Step-by-step explanation:

I divided 384 dollars by 3w hours and then was Sue made 12 an hour. Then I tried mukyiplong different times until I discovered 12×56=672. So, 56 hours

Answer:

Step-by-step explanation:

B) data summary its in the words it sums up the answers to all the data you've collected over timew

Answer:

D

Step-by-step explanation:

Doubling the height will guarantee that the volume gets twice since V=(1/3)*B*h

If Bob wants to create a pyramid of volume 28 then he needs to double the height of the pyramid.

Design or construction with a base that is a polygon and sides that are three or more triangles that come together at the top.

A pyramid is a 3D shape where 3 triangle comes and meet in such a way that the base side creates a triangle.

The volume of a pyramid is given by

Volume = (1/3)base²×height.

Let say

Base width is = w

Height is = h

Volume V = w²h/3

Given

14 = w²h/3

For volume to be 28

28 = w²(2h)/3

So it is clear that he needs to double the height.

To learn more about pyramids,

https://brainly.com/question/17615619

#SPJ2

7/5 thats the answer lol

Answer:

40600

Step-by-step explanation:

(4 * 10^4) + (6 * 10^2) =

= 4 * 10000 + 6 * 100

= 40000 + 600

= 40600

Answer:

4.06 x 10^4

Step-by-step explanation:

Answer:

D)  x ≥ -2

Step-by-step explanation:

Answer:

4pi

Step-by-step explanati

70% - Rounded Answer

Answer:

1/25

Step-by-step explanation:

1 m = 100 cm

4m x 100 = 400 cm

If it is 16 cm long, then the scale factor is 16/400, which simplifies to 1/25.

Answer:

A. Yes

Step-by-step explanation:

it is always yes because no os negative

Answer

a

Step-by-step explanation:

it does represent a function