A soccer ball was kicked toward the goal. the horizontal component of velocity was 22 m/s and the vertical component was 12 m/s . what is the magnitude of the resultant velocity of the soccer ball?

The justifications are 1. Distributive Property 2. Combine like terms 3. Addition Property of Equality 4. Division Property of Equality (Option 3 and 4).

Now,

We are given the linear equation: [tex]4x + \frac{1}{2}(10x-4)=6[/tex]

Hence, The third and fourth solutions are correct when using the division property of equality, i.e., The justifications are 1. Distributive Property 2. Combine like terms 3. Addition Property of Equality 4. Division Property of Equality (Option 3 and 4).

To learn more about linear equations, refer to the link: brainly.com/question/11897796

#SPJ4

Hannah had run 6 complete laps and is running the 7th lap when she surpasses the athlete Kara.

An athlete (sometimes known as a sportsman or sportswoman) is a person who participates in one or more sports that require physical stamina, speed, or strength.

Professional and amateur athletes both exist. The majority of elite athletes have extremely well-developed bodies because to rigorous physical training, stringent exercise, and a tight food regimen.

Isotonic exercisers had a greater mean left ventricular end-diastolic capacity and are less prone to experience depression. Athletes are far more prone than the general public to go to massage parlors and pay for the services of massotherapists and masseurs due to their demanding physical activity. Athletes whose sport favors endurance over strength typically consume less calories than other athletes.

Calculations:

Total length of the race (L) = 5000 m

Time taken by Kara (tk) = 17.9 min = 1074 s

Kara's speed (vk) = L/tk = 5000/1074 m/s

Time taken by Hannah (th) = 15.3 min = 918 s

Hannah's speed (vh) = L/th = 5000/918 m/s

Let the number of laps Hannah had run when she passes Kara be n

Distance travelled by Hannah in this time = n*400 = 400n meters

Time taken by Hannah to run n laps = 400n/(5000/918)=367200n/5000=73.44n

Distance travelled by Kara in this time = (n-1)*400 = 400n - 400 meters

Time taken by Kara to run (n-1) laps = (400n-400)/(5000*1074)=(429600n-429600)/5000=85.92n-85.92

= 85.92n - 85.92 = 73.44n

= 12.48n = 85.92

= n = 6.88

To learn more about athlete ,visit:

https://brainly.com/question/379039

#SPJ4

The length of AC is 6.228 cm.

Here the angle of the triangle ∡ABC is 40°, AB = BC = 9.

We have to find the length of AC which is opposite to ∡B.

Let AB = BC = x , AC = c

From the cosine formula, we know that

[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] - 2ab cos α

Here c is the length of the side opposite to the angle α, and a, b is the side adjacent to the angle α.

So from the cosine formula we have

[tex]c^{2}[/tex] = [tex]x^{2}[/tex] + [tex]x^{2}[/tex] -2[tex]x^{2}[/tex]cos α

[tex]c^{2}[/tex] = 2[tex]x^{2}[/tex] - 2[tex]x^{2}[/tex] cos 40°

   = 2[tex]x^{2}[/tex](1- cos 40°)

   = 2 ×[tex]9^{2}[/tex] ( 1 - 0.76)

    = 2 × 81 × 0.24

c = 2 × 9 × 0.2×√3

  =3.6 × 1.73

  = 6.228cm

Therefore the length of the side AC is 6.228cm.

To know more about the triangle refer to the link given below:

https://brainly.com/question/1058720

#SPJ1

278 is the value of IQR.

To find the IQR:

Arrange in ascending order as follows:

The middle value or the median is 525.

Q₁ from the lower half is 410 and Q₃ from the upper half is 688.

Therefore, the value of IQR is 278.

Know more about IQR here:

https://brainly.com/question/4102829

#SPJ4

The calculated vectors are:

[tex]\vec{A}-\vec{B}[/tex]=(3,-5,-4)

[tex]\vec{B}-\vec{C}[/tex]=(-5,4,0)

[tex]-\vec{A}+\vec{B}-\vec{C}[/tex]=(-6,4,3)

[tex]3 \vec{A}-2 \vec{C}[/tex]=(-3,-2,-11)

Generally, the equation for is  mathematically given a

[tex]\vec{V}+\vec{W}=\left(V_1, V_2, V_3\right)+\left(W_1, W_2, W_3\right)\\\\\vec{V}+\vec{W}=\left(V_1+W_1, V_2+W_2, V_3+W_3\right) \text { }[/tex]

[tex]\vec{V}-\vec{W}=\left(V_1, V_2, V_3\right)-\left(W_1, W_2, W_3\right)\\\\\vec{V}-\vec{W}=\left(V_1-W_1, V_2-W_2, V_3-W_3\right)[/tex]

[tex]\alpha \cdot \vec{V}=\alpha \cdot\left(V_1, V_2, V_3\right)\\\\\alpha \cdot \vec{V}=\left(\alpha \cdot V_1, \alpha \cdot V_2, \alpha \cdot V_3\right)[/tex]

[tex]\vec{A}-\vec{B}=(1,0,-3)-(-2,5,1)\\\vec{A}-\vec{B}=(3,-5,-4) \\\\&\vec{B}-\vec{C}=(-2,5,1)-(3,1,1)\\&\vec{B}-\vec{C}=(-5,4,0) \\\\&-\vec{A}+\vec{B}-\vec{C}=-(1,0,-3)+(-2,5,1)-(3,1,1)\\-\vec{A}+\vec{B}-\vec{C}=(-6,4,3) \\\\&3 \vec{A}-2 \vec{C}=3(1,0,-3)-2(3,1,1)\\3 \vec{A}-2 \vec{C}=(3,0,-9)-(6,2,2)\\3 \vec{A}-2 \vec{C}=(-3,-2,-11)[/tex]

In conclusion,

Read more about  Vectors

https://brainly.com/question/13322477

#SPJ1

CQ

In general it is best to conceptualize vectors as arrows in space, and then to make calculations with them using their components. (You must first specify a coordinate system in order to find the components of each arrow.) This problem gives you some practice with the components. Let vectors A rightarrow = (1,0, -3), rightarrow = (-2,5,1), and C rightarrow = (3,1,1). Calculate the following, and express your answers as ordered triplets of values separated by commas.

The area of the pizza that George  is 153.938040026 [tex]inch^{2}[/tex].

The area of the pizza that George is [tex]\pi r^{2}[/tex]

area = [tex]\pi[/tex]×[tex]7^{2}[/tex] = 153.938040026 [tex]inch^{2}[/tex]

The number of unit squares that are equivalent in size to the surface, which is included inside a set of lines; see Metric System Table, Weights and Measures Table.

The extent of a notion, action, or activity: the entire realm of international policy.

The measurement that expresses the size of a region on a plane or curved surface is called area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.

To learn more about area from the given link:

brainly.com/question/27683633

#SPJ9

If two marbles are randomly chosen from the bag contains 22 yellow marbles and 11 teal marbles, then the probability that the both marbles are teal is [tex]\frac{10}{99}[/tex]

Given,

The number of yellow marbles = 22

Number of teal marbles = 11

Total number of marbles = 22+11= 33 marbles

Then two marbles are chosen randomly

We know,

The probability = Number of favorable outcomes/ Total outcomes

Probability that first marble is teal =[tex]\frac{11}{33}[/tex]=[tex]\frac{1}{3}[/tex]

Probability that second marble is teal =[tex]\frac{10}{33}[/tex]

Here we are considering without replacement

Then the probability that both marbles are teal = [tex](\frac{1}{3})(\frac{10}{33})=\frac{10}{99}[/tex]

Hence, if two marbles are randomly chosen from the bag contains 22 yellow marbles and 11 teal marbles, then the probability that the both marbles are teal is [tex]\frac{10}{99}[/tex]

Learn more about probability here

brainly.com/question/11234923

#SPJ4

Answer:

70t = 60t + 10

10t = 10

t = 1 hour

----------

1 hour  70 mi/hr = 70 miles

Step-by-step explanation:

Answer:

59,049

Step-by-step explanation:

Since 3^2 is basically 3 times 3 which is 9, then what's 9 times 9, 9, 9, 9, 9 (9^5)?

Answer: 3¹⁰

Step-by-step explanation:

[tex]\displaystyle\\(3^2)^5=\\\\3^{2*5}=\\\\3^{10}[/tex]

This investigation's goal is to demonstrate how quickly and easily we can determine the diameter of the sun using basic geometry.

The cards must remain parallel and separated by a predetermined amount. Then, a tiny hole must be cut on one card so that sunlight can pass through and create the sun's picture on the other card. We base the formula described above on the diameter of this photograph of the sun. The diameter of the sun's picture on the card is now measured because we can choose the distance between the cards, and we already know that the sun is nearly 150 million kilometers away from the earth. i.. e. Since three of the values are known, we can use the technique above to determine the fourth unknown quantity and measure the diameter.

To learn more about the sun, Visit:

https://brainly.com/question/8400304

#SPJ4

1in=15 then it’s 75. For 2in=25 then it’s 62.5

Answer: 45

Step-by-step explanation:

The LCM of 5 and 9 is 45. To find the least common multiple of 5 and 9, we need to find the multiples of 5 and 9 (multiples of 5 = 5, 10, 15, 20 . . . . 45; multiples of 9 = 9, 18, 27, 36 . . . . 45) and choose the smallest multiple that is exactly divisible by 5 and 9, i.e., 45.

Answer:

Area of the shaded region is 53.47 square yd

Answer:

1. 0.003

2. 0.5

3. 0.001343

4.0.05003

5. 0.670570

6. 1.01

Given that the study was conducted using a sample of 513 bolts produced at a single facility when there is no bias resulting from data gathering procedures, broad inferences may then be drawn.

All bolts manufactured by that factory would be covered by the conclusion?

Due to the fact that bolts made in the same factory will follow the results of an analysis of a sample made up of bolts from the same factory. The finding or conclusion would therefore be applicable to all bolts produced in the same factory because the environment for experimentation and production is the same there while it may differ in other factories. Conclusions from the study may not apply to the bolts made by other companies as a result of this bias.

To learn more about Random Sample, visit:

https://brainly.com/question/13219833

#SPJ4

Relationships that have a uniform or constant rate are said to be proportional relationships. Because it does not employ a uniform rate, the price of food does not follow a proportional connection.

The missing table looks like this:

Bag     cost

0           0

5          17.5

30        89

First, we calculate the slope (m) of the table using:

(x₁ y₁) = (0,0)

(x₂ y₂) = (5,17.5)

m₁=(y₂-y₁)/(x₂ -x₁)

m₁=(17.5-0)/(5-0)

m₁=3.5

The slope for the following points

(x₁ y₁) = (0,0)

(x₂ y₂) = (30,89)

m₂=(y₂-y₁)/(x₂ -x₁)

m₂=(89-0)/(30-0)

m₂=2.97

3.5 ≠2.97

Hence, the cost of food is not a proportional relationship because it does not use a uniform rate.

To learn more about this visit cost https://brainly.com/question/24454061

#SPJ9

Answer:

7x(y^3-11)

Step-by-step explanation:

Answer: x=2

Step-by-step explanation:

[tex]6x=12[/tex]

[tex]\frac{6}{6}x=\frac{12}{6}[/tex]

[tex]x=2[/tex]

Answer:

The 4th option.

Step-by-step explanation:

f(x) is increasing from x = -3 to x = -1 then it starts to decrease as x increases.

Answer:

its at simplest form

Step-by-step explanation:

Answer:

6x + 9 = 75

explantion : in the photo just writing this so brainly could let me post the picture but here you go

Answer:

(1)

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180° .

consider the inner triangle where

a + b + 58° = 180° ( subtract 58° from both sides )

a + b = 122°

consider the outer triangle where

c + d + 63° = 180° ( subtract 63° from both sides )

c + d = 117°

Then

a + b + c + d = 122° + 117° = 239°

Mullet ratio of 1.5 is 1.8

Given:

The mullet ratio is 1.5

Rm=[tex]\frac{party}{buisness}[/tex]

Rm = 17/9

Rm=1.8

The ratio to their Mullet and several other higher-level extension questions.

Trimmed short in the front and sides, but left wild and long in the back. Mullet begins the experience with intuition, the lowest rung on the ladder of abstraction, asking students to decide using nothing more than their gut “which one is more Mullet-y” By the end, they’ve named variables and defined operations, entirely abstracting the context.

The pipe cleaner was inserted along the hair, and the students straightened it on their rulers to determine the size of the Party. The Business was often rather honest.

To learn more about Mullet from the given link:

https://brainly.com/question/14017087

#SPJ9

The car has a value of $ 15 500 at the end of the fifth year.

In accordance with the statement, the value of an automobile decreases in time and decreases steadily. A stead decrease means that the value decreases linearly in time, whose formula is shown below:

C' = C + r · t         (1)

Where:

If we know that C = $ 2 600, C' = $ 37 000 and t = 8, then the value of the car at the end of the fifth is:

r = (C' - C) / t

r = (2 600 - 37 000) / 8

r = - 4 300

t = 5

y = 37 000 - 4 300 · 5

y = 15 500

The car has a value of $ 15 500 at the end of the fifth year.

To learn more on linear equations: https://brainly.com/question/13738061

#SPJ1

Answer:

Let's solve your equation step-by-step.

−5(|x+1|)+2=12

Step 1: Add -2 to both sides.

−5(|x+1|)+2+−2=12+−2

−5(|x+1|)=10

Step 2: Divide both sides by -5.

−5(|x+1|)

−5

=

10

−5

|x+1|=−2

Step 3: Solve Absolute Value.

|x+1|=−2

No solutions. (Absolute value cannot be less than 0.)

Step-by-step explanation:

68.26 % of regular gasoline sold between $ 3.25 & $ 3.65.

The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed. In contrast, a high or low standard deviation indicates that the data points are, respectively, above or below the mean. A standard deviation that is close to zero implies that the data points are close to the mean. the curve at the top is more dispersed and has a greater standard deviation than the curve at the bottom, which is more concentrated around the mean and has a lower standard deviation.

To learn more about standard deviation, Visit:

https://brainly.com/question/475676

#SPJ4

Answer:

D=16(3)

=48 feet

D=16(4)

=64 feet

The distance between third and fourth second=64 feet-48 feet

=16 feet

1........answe is 1............