How can you check that k ≥ 11 is the solution set to the inequality k + 14 ≥ 25?

Answer:

x = 6

Step-by-step explanation:

Let's solve y for x + 2y = 8.

x + 2y = 8

2y = -x + 8

y = \(-\frac{1}{2}\)x + 4.

Let's solve y for x - y = 5.

x - y = 5

y = x - 5

Since both equations have been solved for y, we can combine them together into one!

x - 5 = \(-\frac{1}{2}\)x + 4

x \(+ \frac{1}{2}\)x = 4 + 5

1.5x = 9

x = 6

Hope this helped! If not, please let me know!

The initial velocity = vi = 6m/s

The final velocity = vf = 16 m/s

The total time = t = 20 seconds

The rate of change in velocity is called acceleration (a) that can be written as:

or

Put the values in the equation to get the value of 'a'.

or

hence, the value of a is 1/2.

-2/5 or -0.4

Hope this helps!

Let x represent the number of hours that he spent washing cars.

Let y represent the number of hours that he spent landscaping.

In a week, he can work no more than 19 total hours. This means that

x + y ≤ 19- - - - - - - - - - - -1

Jacob is working two summer jobs, making $10 per hour washing cars and making $8 per hour landscaping. He must earn at least $170. This means that

10x + 8y ≥ 170 - - - - - - - - - -2

If Jacob worked 4 hours landscaping, it means that

x + 4 ≤ 19    x ≤ 19 - 4    x ≤ 15

Also,  10x + 8 × 4 ≥ 170     10x + 32 ≥ 170

10x ≥ 170 - 32          10x ≥ 138

10x ≥ 138/10             x ≥ 13.8

The minimum number of hours is 14

Isaac will get approximately 9.46 quetzals for his 100 reais.

Given:

Spot rate on the GTQ/₡ cross rate: GTQ 10.5799 = ₡1.00

To find the Brazilian reais/Guatemalan quetzal cross rate:

GTQ/R$ = 1 / (GTQ/₡)

GTQ/R$ = 1 / 10.5799

GTQ/R$ = 0.09461

Therefore, the Brazilian reais/Guatemalan quetzal cross rate is approximately 0.0946.

To calculate how many quetzals Isaac will get for his reais, we need to multiply the number of reais by the cross rate.

Let's assume Isaac has 100 reais:

Quetzals = Reais * GTQ/R$

Quetzals = 100 * 0.0946

Quetzals = 9.46

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Answer:

250 ft

Step-by-step explanation:

circumference of circle 'C' is defined as

C = 2πr

250π = 2πr

r = 250π/2π

r= 125

d = 2r = 2×125 = 250 .

diameter of the given circle is 250 ft

The diameter of the circle is 250ft

Data;

The formula of circumference of a circle is given as

\(c = 2\pi r\)

Let's substitute the values in here and solve

\(c = 2 \pi r\\250\pi = 2 \pi r\\r = 125ft\)

The length of the radius is 125ft

But the length of diameter of a circle is twice the length of the radius

\(d = 2r\\d = 2 * 125\\d = 250ft\)

The diameter of the circle is 250ft

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Answer:

Answer is B.1/6b-5/6

Step-by-step explanation:

I hope it's helpful!

The conditional probability that the size of the family is less than 6 given that it is at least 3 is 1.

To find the conditional probability that the size of the family is less than 6 given that it is at least 3, we need to use the formula for conditional probability.

Let's denote A as the event that the size of the family is less than 6, and B as the event that the size of the family is at least 3.

The conditional probability of A given B, denoted as P(A|B), is calculated as follows:

P(A|B) = P(A and B) / P(B)

First, we need to find P(B), the probability that the size of the family is at least 3. Since the family is selected at random, we can assume that all possible family sizes have an equal chance of being selected.

Let's assume the total number of possible family sizes is n. The probability of selecting a family with at least 3 members is the sum of the probabilities of selecting a family with exactly 3 members, exactly 4 members, and exactly 5 members.

P(B) = P(3) + P(4) + P(5)

Next, we need to find P(A and B), the probability that the size of the family is both less than 6 and at least 3. Since any family size less than 6 is also at least 3, P(A and B) will be the same as P(B).

Finally, we can substitute the values into the formula for conditional probability:

P(A|B) = P(A and B) / P(B) = P(B) / P(B) = 1

Therefore, the conditional probability that the size of the family is less than 6 given that it is at least 3 is 1.

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Answer:

\(\huge\boxed{B.\ T>-72}\)

Step-by-step explanation:

\(\dfrac{T}{4}+8>-10\qquad|\text{subtract 8 from both sides}\\\\\dfrac{T}{4}+8-8>-10-8\\\\\dfrac{T}{4}>-18\qquad|\text{multiply both sides by 4}\\\\4\!\!\!\!\diagup\cdot\dfrac{T}{4\!\!\!\!\diagup}>(4)(-18)\\\\T>-72\)

Answer:

x = 10

Step-by-step explanation:

1. Because this is a right angle (an angle with 90°), 54 + 3x + 6 = 90.

2. (Solving equation above)

Step 1: Simplify both sides of the equation.

Step 2: Subtract 60 from both sides.

Step 3: Divide both sides by 3.

Step 4: Check if solution is correct.

Therefore, x = 10.

Answer:

\(10f - 5-5f +2 =5f -3= -3+5f\)

last option

Answer:

C

Step-by-step explanation:

If we solve 10f-5f+8+69+4, We get 5f+81 (put in comments if you want a step by step explanation on how i solved this).  

Let's try to solve each of the options.  

A) 15f + 14g + 4  

It would not be option A because there isn't a variable such as g in the expression.  

B) 15f + 8 + 10g

C) 5f + 69 + 12

5f+ 81  

This one is correct because the expression also equals 5f+81  

D) 5f + 149 +4​

5f+ 153  

D would be wrong as well

Hope this helps! <3

In the given circle, by using the Pythagorean theorem, the value of VU is 8.94

From the question, we are to determine the value of VU in the given circle

From the given information, we have that

WX = 4

and

WS = 6

From the Pythagorean theorem, we can write that

|WS|² = |WX|² + |XS|²

6² = 4² + |XS|²

36 = 16 + |XS|²

36 - 16 = |XS|²

20 = |XS|²

|XS| = √20

In the given diagram, WX bisects chord TS.

Thus,

We can write that

|TS| = 2 × |XS|

|TS| = 2 × √20

|TS| = 2√20

|TS| = 8.94

From the given information, we were given that

TS = VU

Hence,

VU = 8.94

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The Renaissance period is primarily known for its artists rather than its political and religious leaders due to the contributions of famous figures like Leonardo da Vinci, Michelangelo, and other renowned artists.

During the Renaissance, there was a significant shift in the cultural and intellectual landscape of Europe. This period marked a revival of interest in the arts, sciences, and humanism, emphasizing the potential and achievements of human beings. Artists such as Leonardo da Vinci and Michelangelo played pivotal roles in this cultural transformation by creating iconic works of art that captured the spirit and values of the era.

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Answer:

1&0

Step-by-step explanation:

Enter a value for side 1 in metres with optional centimetres.

Enter a value for side 2 in metres with optional centimetres.

Click associated Get Results button.

Square metres (m2) and centimetres (cm2) remainder is shown.

Multiple calculations can be placed in the textbox below by pressing Move Results.

Multiple calculations total area is shown in the Grand Total Square Metres text box.

Based on the geometric theorem, the value of x, to the nearest tenth is: 8.2.

The geometric theorem states the relationship between the length of the altitude of a right triangle and the lengths of the two small segments formed on the hypotenuse.

The theorems states that:

The length of the altitude = the geometric mean of the two segments.

In the image given below which shows the right triangle, the segments formed on the hypotenuse are x and 24 units, while the altitude of the triangle is 14.

Therefore, based on the geometric theorem, we have:

14 = √(x * 24)

Solve for x:

14² = x * 24

196 = 24x

196/24 = 24x/24

x ≈ 8.2 (nearest tenth)

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9514 1404 393

Answer:

  A)  x^-28*7^-56

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)^c = a^(bc)

  (ab)^c = (a^c)(b^c)

  1/a^b = a^-b

__

  \(\left(\dfrac{x^4}{7^{-8}}\right)^{-7}=(x^47^8)^{-7}=x^{4(-7)}7^{8(-7)}=\boxed{x^{-28}7^{-56}}\)

Using SQL, you can create a function which takes two inputs and outputs the result of the sum of the two inputs divided by the second input. You will need to use parentheses to force the order of operations and you should return the data type decimal(6,1).

To input the two numbers 17 and 3, you can use the following statement:

SELECT (17 + 3) / 3 AS result DECIMAL(6,1)

The output should be 7.0. (using SQL and parenthesis)

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Looking at the graph, we can see that it's always crescent, that means when x increases, y also increases.

Also, we can see that when x approaches minus infinity, the graph approaches the x-axis, that means the value of y approaches 0.

Also, when x approaches infinity, the values of y increases towards infinity as well.

Finally, when x approaches 0, the value of y approaches 2 units (where the graph intersects the y-axis).

Therefore, the correct sequence of answers is:

No, Yes, No.

Answer:

\(y=\frac{1}{12}x-\frac{26}{3}\)

Step-by-step explanation:

\(y+9=\frac{1}{12}(x+4) \\ \\ y+9=\frac{1}{12}x+\frac{1}{3} \\ \\ y=\frac{1}{12}x-\frac{26}{3}\)

Answer:

35%

Step-by-step explanation:

Total made: (15)(1.80) = £27

\(\frac{27-20}{20} \times 100=35\%\)

The x-intercepts of a function are the points where the graph intersects the x-axis. To find these, substitute y with 0 and solve for x. The only x-intercept is (-1, 0), which is the coordinate point for the given function.

The x-intercepts of a function are the points where the graph intersects the x-axis. The value of y will always be zero on the x-axis, therefore,

we can find the x-intercepts by substituting y with 0 and then solving for x. Here's how we can find the x-intercepts of the function f(x) = (x + 1)/(3x² + 27x + 24):f(x) = (x + 1)/(3x² + 27x + 24)

We substitute y with 0 to find the x-intercepts:0 = (x + 1)/(3x² + 27x + 24)

We can cross-multiply and solve for x:(x + 1)/(3x² + 27x + 24) = 0x + 1 = 0x = -1Therefore, the only x-intercept of the function is (-1, 0).

The answer is a coordinate point, (-1, 0).To summarize, we only have one x-intercept for the given function, which is (-1, 0).

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Answer:

x+n

Step-by-step explanation:

The expression for another number will be 25 - x.

An expression is a combination of some mathematical symbol such that arithmetic operator and variable such that all are constrained and create an equation.

In other meaning, expression is very useful to determine the end or root value of constraint.

For example 3x +5y

The constraint of expression is represented as = or <, >.

Let's say another number is y

Then,

Sum of both number

x + y = 25

y = 25 - x

Hence "The expression for another number will be 25 - x".

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Answer:

IMAGE=OBJECT +TRANSLATION

The coordinates are  (12, 8).

A translation in math moves a shape left or right and/or up or down. The translated shapes look exactly the same size as the original shape, and hence the shapes are congruent to each other. They just have been shifted in one or more directions. Since it is just moving of the shape from one place to other, there is no change in the shape.

Translation is one of the transformations in math. When a shape has been transformed, the original shape is called the preimage and the vertices are usually labeled using uppercase letters (Example: ABCD). The translated shape is called the image and the vertices are labeled using uppercase letters with a “prime” next to each (Example: A′B′C′D′, and is pronounced “A-prime, B-prime, C-prime, D-prime”).

Given:

the point is (-8, 3) whose image point is (-5, 2)

The difference between the coordinates of the image and the coordinates of the original is the same for both points.

 X - (9, 9) = (-5, 2) -(-8, 3)

 X = (-5, 2) -(-8, 3) +(9, 9) = (-5+8+9, 2-3+9)

 X = (12, 8)

Hence, the point is (12, 8)

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The correct option is B. The resulting expression is 4c7(3c2 7).

A phrase having a minimum of two variables or integers and at least one mathematical action is called an expression. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: (Number/Variable, Math Operator, Number/Variable) is an expression.

2x + 3 is an illustration of a mathematical expression with a variable. Each and every variable needs to have a coefficient, or a value multiplied by the variable. The number 2 is the coefficient of x in the formula 2x + 3, which translates to 2x times plus 3.

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Answer:

N 12

Step-by-step explanation:

Using the Bayes' theorem, we find the probability that the transferred ball was white given that the second ball drawn was white to be 52/89, or approximately 0.5843.

To solve this problem, we can use Bayes' theorem, which relates the conditional probability of an event A given an event B to the conditional probability of event B given event A:

P(A|B) = P(B|A) * P(A) / P(B)

where P(A|B) is the probability of event A given that event B has occurred, P(B|A) is the probability of event B given that event A has occurred, P(A) is the prior probability of event A, and P(B) is the prior probability of event B.

In this problem, we want to find the probability that the transferred ball was white (event A) given that the second ball drawn was white (event B). We can calculate this probability as follows:

P(A|B) = P(B|A) * P(A) / P(B)

P(B|A) is the probability of drawing a white ball from urn b given that the transferred ball was white and is now in urn b. Since there are now six white balls and three black balls in urn b, the probability of drawing a white ball is 6/9 = 2/3.

P(A) is the prior probability of the transferred ball being white, which is the number of white balls in urn a divided by the total number of balls in urn a, or 6/13.

P(B) is the prior probability of drawing a white ball from urn b, which can be calculated using the law of total probability:

P(B) = P(B|A) * P(A) + P(B|not A) * P(not A)

where P(B|not A) is the probability of drawing a white ball from urn b given that the transferred ball was black and P(not A) is the probability that the transferred ball was black, which is 7/13.

To calculate P(B|not A), we need to first calculate the probability of the transferred ball being black and then the probability of drawing a white ball from urn b given that the transferred ball was black.

The probability of the transferred ball being black is 7/13. Once the transferred ball is moved to urn b, there are now five white balls and four black balls in urn b, so the probability of drawing a white ball from urn b given that the transferred ball was black is 5/9.

Therefore, we can calculate P(B) as follows:

P(B) = P(B|A) * P(A) + P(B|not A) * P(not A)

= (2/3) * (6/13) + (5/9) * (7/13)

= 89/117

Now we can plug in all the values into Bayes' theorem to find P(A|B):

P(A|B) = P(B|A) * P(A) / P(B)

= (2/3) * (6/13) / (89/117)

= 52/89

Therefore, the probability that the transferred ball was white given that the second ball drawn was white is 52/89, or approximately 0.5843.

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The measure (in radians) of the angle formed by the hands of a clock at 1.30 PM is 3π/4 radians.

The given time is 1:30 PM.

Time is used to quantify, measure, or compare the duration of events or the intervals between them, and even, sequence events.

The angle between hour hand and minute hand is 135°.

In radians = 135° ×π/180°

= 9π/12

= 3π/4

Therefore, the measure (in radians) of the angle formed by the hands of a clock at 1.30 PM is 3π/4 radians.

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Answer:

C. 8X3 - 7X2 - 6X+5

Step-by-step explanation:

hope that helps!

Answer:

C. 8X3 - 7X2 - 6X+5

Step-by-step explanation: