which graph is the solution to the inequality below ? 3(x-5)<5x+7

Answer:

b

Step-by-step explanation:

The equation for the maximum number of yards per second that can be run is y = 5/3 s.

A direct variation measurement between distance covered and time taken can be composed as:

y=kx,

where,

This is because the athlete's distance travelled directly varies with the amount of time it takes.

Find k using the given values:

y=kx,

10 = k(6)

k = 10/6

k = 5/3

As a result, the equation for the maximum number of yards per second is y = 5/3 s.

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The second area was translated 1 unit right and 6 units down to form the third exhibit area.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, reflection, dilation and rotation.

Translation is the movement of a point either up, down, left or right.

Given the translation (x,y)→(x+1,y+6). Hence:

The second area was translated 1 unit right and 6 units down to form the third exhibit area.

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Answer:

2 _ 3x. 14. f(x) = 4x2 + 5; horizontal stretch by a factor of 2 and a translation 2 units up, followed by a reflection in the x-axis. 0 Replace X X 3 35+2 3 -(x+7).

Step-by-step explanation:

Answer:

area = 113.04 cm²

Step-by-step explanation:

radius = 12/2 = 6

area = πr² = 3.14(6²) = 113.04 cm²

Answer:

1km=1000m

so 4.5(1000m)/90m

4500m/90m,we eliminate meter by meter

,4500/90=50

Answer:

50

Step-by-step explanation:

1km = 1000 m

4.5 * 1000 = 4500 m

4500/90 = 50/1 = 50 m

Answer:

( D )Each sandwich has 2 pounds of ham.

Answer:

1/2 of ham

Step-by-step explanation:

Answer:

(A). y - 4 = 3 ( x - 1 )

Step-by-step explanation:

Slope "m" and ( \(x_{1}\) , \(y_{1}\) ) ⇒

Slope-point form of linear equation is y - \(y_{1}\) = m( x - \(x_{1}\) )

~~~~~~~~~~~~~

m = 3 and point with coordinates ( 1 , 4 )

y - 4 = 3 ( x - 1 )

If you go twice as fast, your stopping distance will increase by four times (option C).

This relationship is based on the laws of physics and the principles of motion.

When an object is in motion, its stopping distance is influenced by its initial speed, reaction time, and braking capabilities. The stopping distance consists of two components: the thinking distance (the distance traveled during the reaction time) and the braking distance (the distance needed to bring the object to a complete stop).

According to the laws of physics, the braking distance is directly proportional to the square of the initial speed. This means that if you double your speed, the braking distance will increase by a factor of four. In other words, going twice as fast will require four times the distance to come to a stop.

It is important to note that this relationship assumes other factors, such as road conditions and braking efficiency, remain constant. However, in real-world scenarios, these factors may vary and can affect the stopping distance to some extent.

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When you multiply or divide a number by 0 you will get 0 as the answer. Example: 34×0=0 and 34÷0=0.

The given decimal number is 8314.12.

Place value can be defined as the value represented by a digit in a number on the basis of its position in the number.

2) In the given decimal number 8314.12,

8 is in thousands place, 3 is in hundreds place, 1 in tens place, 4 in ones place, after decimal 1 in tenths place and 2 in hundredths place.

3) When you multiply or divide a number by 1 you will get the same number.

Example: 34×1=34 and 34÷1=34

4) When you multiply or divide a number by 0 you will get 0 as the answer.

Example: 34×0=0 and 34÷0=0

5) 49÷7=7 because 7×7=49

60÷10=6 because 10×6=60

48÷12=4 because 12×4=48

63÷9=7 because 9×7=63

32÷4=8 because 4×8=32

Therefore, when you multiply or divide a number by 0 you will get 0 as the answer. Example: 34×0=0 and 34÷0=0.

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Answer:

The number of apples in the 12th bag is 9

Step-by-step explanation:

The Mean Value of a Data Set

The mean or average of a data set is found by adding all numbers and then dividing by the number of values in the set. Written as a formula:

\(\displaystyle \bar x=\frac{\sum{x_i}}{n}\)

Where xi is the value of each data and n is the total number of values.

We are given the value of n=12 and the mean number of apples in each bag (8), thus:

\(\displaystyle 8=\frac{\sum{x_i}}{12}\)

Multiply by 12

\(\sum{x_i}=96\)

This means the sum of all the values is 96. If we add the existing values from the table, considering their frequency, we have:

\(6*1+7*4+8*2+9*3+10*1=87\)

Note the sum should be 96, so the 12th bag must have 96-87=9 apples

The number of apples in the 12th bag is 9

Answer:

13

Step-by-step explanation:

This angle is called a reflective angle so the angles equal eachother. So put them equal to eachother and solve.

91=7x

x= 91÷7

x=13

Answer:

1000 grams per pint

Step-by-step explanation:

2 kg / qt * (1 qt / 2 pints) * (1000 grams/ kg ) = 1000 grams /pint

The geometric series is convergent and the value is 16.

Recall that the sum of an infinite geometric series, S, given first term, t_1, and common ratio, r, is given by:

S = t_1/(1 - r)

Note that:

3 = (4)(3/4)

9/4 = (3)(3/4)

27/16 = (9/4)(3/4)

So this a geometric series with t_1 = 4 and r = 3/4. Therefore:

4 + 3 + 9/4 + 27/16 + ... = 4/(1 - 3/4) = 4/(1/4) = 16

The correct option is 16.

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Determine whether the geometric series is convergent or divergent. If it is convergent, find its sum

4+3+ 9/4 +27/16 +???

choices are

1. 3/4

2. 12

3. 4

4. divergent

5. 16

The length of AC is approximately 10.85 cm.

To find the length of AC, we can use the Pythagorean theorem.

According to the Pythagorean theorem, in a right triangle where c is the hypotenuse (the side opposite the right angle) and a and b are the other two sides, the relationship between the lengths of the sides is:

c^2 = a^2 + b^2

In this case, we can use AB as one of the legs of the right triangle and BC as the other leg, with AC being the hypotenuse. So we have:

AC^2 = AB^2 + BC^2

AC^2 = (10.2 cm)^2 + (3.7 cm)^2

AC^2 = 104.04 cm^2 + 13.69 cm^2

AC^2 = 117.73 cm^2

To find the length of AC, we take the square root of both sides:

AC = sqrt(117.73 cm^2)

AC ≈ 10.85 cm

Therefore, the length of AC is approximately 10.85 cm.

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Answer:

D n/2 = 9

Step-by-step explanation:

14 + (18) = 32 not 29

6(18)= 108 NOT 3

18 - 7 = 11 NOT 25

The only answer is D because 18 divided by 2 = 9

Answer:

10k+15/5

Step-by-step explanation:

The probability of the next president of the United States being born on Sunday or Tuesday can be determined by considering the total number of days in a week and the assumption that each day of the week is equally likely. The probability is 2/7.

In a week, there are seven days. Assuming that each day of the week is equally likely to be the day of birth for the next president, we need to determine the number of favorable outcomes (birthdays on Sunday or Tuesday) and divide it by the total number of possible outcomes (seven days).Out of the seven days of the week, Sunday and Tuesday are the two days that satisfy the condition. Therefore, the number of favorable outcomes is 2.
Hence, the probability of the next president being born on Sunday or Tuesday is given by 2/7, where 2 represents the number of favorable outcomes (birthdays on Sunday or Tuesday) and 7 represents the total number of possible outcomes (seven days of the week).
Therefore, the probability of the given event is 2/7.

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Answer:

Step-by-step explanation: The length of q to the nearest 10th of a centimeter is 0.2 cm.

Describe Law of Sines?

The Law of Sines is a trigonometric formula used to find the missing sides or angles of a non-right triangle (a triangle that does not have a 90-degree angle). It states that the ratio of the length of a side of a triangle to the sine of the opposite angle is the same for all three sides and angles:

a/sin(A) = b/sin(B) = c/sin(C)

where:

a, b, c are the lengths of the sides of the triangle, and

A, B, C are the measures of the angles opposite to those sides.

This formula is useful when we have some information about the sides or angles of a triangle, but not enough to solve it completely. By using the Law of Sines, we can set up and solve equations to find the missing values.

Using the Law of Sines, we have:

q / sin(2°) = p / sin(149°)

Solving for q:

q = p * sin(2°) / sin(149°)

= 6.3 * sin(2°) / sin(149°)

≈ 0.23 cm

Therefore, the length of q to the nearest 10th of a centimeter is 0.2 cm.

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Answer:

Step-by-step explanation:

To find;

a) The number of customers that will be there if the bakery charges $10 per pie

b) To determine how much money (revenue) the bakery will make at that price if one customer buys only one pie.

So; given the function:

C(p) = 110 - 4.4 p

where

p = 10

C(10) = 110 - 4.4(10)

C(10) = 110 - 44

C(10) = 66

Thus, when the bakery charges $10, the number of customers is 66.

The revenue now when each customer purchase only one pie is:

= $66 × 10

= $660

Outsourcing refers to a practice of hiring an external firm or individuals for the completion of tasks and functions that were initially performed by internal employees. Outsourcing has its benefits as well as disadvantages, but the potential benefits often outweigh the disadvantages.

Potential benefits when using outsourcing include the following: Reduced fixed costs: Outsourcing helps in cutting down fixed costs, as companies do not have to invest in resources and equipment. In turn, this allows businesses to focus on their core operations. Specialization of suppliers: When outsourcing, companies can work with suppliers that are highly specialized and experienced in performing a particular task. This means that businesses can access better quality services and expertise. Less exposure to risk: Outsourcing allows companies to shift certain risks to their suppliers. For example, when a supplier is responsible for inventory management, they are responsible for ensuring that there is enough inventory to meet customer demand. This means that the business is less exposed to the risk of overstocking or understocking.

In conclusion, outsourcing is a useful business practice that companies can use to reduce fixed costs, access specialized suppliers, and reduce exposure to risk. Other benefits of outsourcing include flexibility, improved quality, and economies of scale. Although outsourcing comes with some risks such as reduced control and potential conflicts of interest, these can be minimized through good management practices.

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Answer:

3/4 • 10 = 30/4 = 7 2/4

With Square Payments, you can easily and safely accept all forms of payment. You can collaborate with customers rather than competing with them when it comes to how they want to pay for goods and services when you use Square Payments.

Through Square, you can accept credit cards, Apple Pay, Android Pay, and a lot of other payment options. A client is an individual or company who purchases goods or services from another company. Customers are essential because they produce income. Without them, companies would cease to exist. A customer is the recipient of a good, service, product, or idea in sales, commerce, or economics that they have purchased from a seller, vendor, or supplier in exchange for money or another useful consideration. When a customer buys something and uses it themselves, they are considered a consumer. Although they might not be the final users, customers always buy goods or services. Although they might not have paid for it, consumers are always the ones who use a good or service in the end.

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The dimensions of a scale drawing of the flag using a scale 1:8 are 5 cm by 9 cm.

The correct option is B.

The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller).

Given:

A rectangular flag is 40 centimeters by 72 centimeters.

The scale factor is 1/8.

So, the dimensions of a scale drawing of the flag using the scale 1:8 is,

= 40/8 cm by 72/8 cm

= 5 cm by 9 cm.

Therefore, the dimensions are 5 cm by 9 cm.

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Answer:

(B) 5 cm by 9 cm

Step-by-step explanation:

I took the exam and got it right :)

Answer:

Step-by-step explanation:

the area of the rectangle is : -7y² ( -2y^4+y²-1)

14y^6-7y^4+7y²   unit