Suppose you chose to solve the following system of questions by multiplying the first equation by 3. Then by what number would you multiple the second equation to eliminate the x variable by adding

The range of the equation f(x) = 3ˣ ⁻ ¹ - 2 is  y > -2

From the question, we have the following parameters that can be used in our computation:

f(x) = 3ˣ ⁻ ¹ - 2

The above equation is an exponential function

The rule of an exponential function is that

In this case, it is -2

So, the range is y > -2

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The expression that can be used to produce vector d from vector c will be to multiply vector c by the scalar -1/2.

Look at vector c, it has an x component of 4 and a y component of 4.

You can write vector c as a sum of its components using unit vectors in the x direction (i) and in the y direction (j).

c = 4i + 4j

Now look at vector d, and write it also as a sum of its x and y components.

d = -2i - 2j

Now ask yourself, what operation do I do to 4 to end up with -2. One answer is to multiply 4 by -1/2.

d = (-1/2)c = (-1/2)(4i) + (-1/2)(4j) = -2i - 2j

By multiplying vector c by the scalar -1/2, you end up with vector d.

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Answer:

2one

Step-by-step explanation:

The value of x from the venn diagram if P(T | V) = 1/5 is 16

From the question, we have the following parameters that can be used in our computation:

The venn diagram

From the venn diagram, we have the following probability values

P(T | V) = (x - 4)/(3x + x - 4)

Evaluate the like terms

So, we have

P(T | V) = (x - 4)/(4x - 4)

From the question, we have

P(T | V) = 1/5

This means that

(x - 4)/(4x - 4) = 1/5

When evaluated, we have

x = 16

Hence, the value of x is 16

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Answer: 2 170 kilograms [kg] of Salt fit into 1 cubic meter. 135.46867 pounds [lbs] of Salt fit into 1 cubic foot. Salt weighs 2.17 gram per cubic centimeter or 2 170 kilogram per cubic meter, i.e. density of salt is equal to 2 170 kg/m³; at 20°C (68°F or 293.15K) at standard atmospheric pressure . In Imperial or US customary measurement system, the density is equal to 135.469 pound per cubic foot [lb/ft³], or 1.254 ounce per cubic inch [oz/inch³] .

Step-by-step explanation:

Answer:

x = 25°

Step-by-step explanation:

We all know the sum of all angles in a triangle = 180°

lets find out the third angle y° from the big triangle first.

y + 94 + 42 = 180

y + 136= 180

y = 180-136

y = 44°

now we know the third angle, let's move on to the inner triangle

x + y + 111 = 180

x + 44 + 111 = 180

x + 155 = 180

x = 180-155

x = 25°

Answer:

$ 22.98

Step-by-step explanation:

discounted = 5%

sold at = 100 % - 5%

= 95%

let the original price of CD be x

= 95% of x =21.84

= 95/100 × x = 21.84

= x = 21.84 × 100/95

= x = 2184/95

please please please please please please

Answer:

y= 1*x

Hope it helps..

Good luck

Answer: the answer is

8 (2a + 3b)

a) The inequality for the expression 2z + 9 is 2z + 9 > 13.

b) The inequality for the expression 3(z - 4) is 3z - 12 > -6.

c) The inequality for the expression 4 + 2z is 4 + 2z > 8.

d) The inequality for the expression 5(3z - 2) is 15z - 10 > 20.

a) To write an inequality for the expression 2z + 9, we can multiply the given inequality z > 2 by 2 and then add 9 to both sides of the inequality:

2z > 2 * 2

2z > 4

Adding 9 to both sides:

2z + 9 > 4 + 9

2z + 9 > 13

Therefore, the inequality for the expression 2z + 9 is 2z + 9 > 13.

b) For the expression 3(z - 4), we can distribute the 3 inside the parentheses:

3z - 3 * 4

3z - 12

Since we are given that z > 2, we can substitute z > 2 into the expression:

3z - 12 > 3 * 2 - 12

3z - 12 > 6 - 12

3z - 12 > -6

Therefore, the inequality for the expression 3(z - 4) is 3z - 12 > -6.

c) The expression 4 + 2z does not change with the given inequality z > 2. We can simply rewrite the expression:

4 + 2z > 4 + 2 * 2

4 + 2z > 4 + 4

4 + 2z > 8

Therefore, the inequality for the expression 4 + 2z is 4 + 2z > 8.

d) Similar to the previous expressions, we can distribute the 5 in the expression 5(3z - 2):

5 * 3z - 5 * 2

15z - 10

Considering the given inequality z > 2, we can substitute z > 2 into the expression:

15z - 10 > 15 * 2 - 10

15z - 10 > 30 - 10

15z - 10 > 20

Therefore, the inequality for the expression 5(3z - 2) is 15z - 10 > 20.

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The ratio is \(\frac{3}{2}\) in its simplest form.

If the probability of choosing an even card is \(\frac{3}{5}\) , then the probability of choosing an odd card is 1- \(\frac{3}{5}\) = \(\frac{3}{2}\).

Let e be the number of even cards Alisha has, and let o be the number of odd cards. Then, we have:

\(\frac{e}{e+0}\)

which simplifies to:

5e=3(e+o)

Expanding the right side gives:

5e=3e+3o

Simplifying further gives:

2e=3o

Dividing both sides by 2 gives:

e= \(\frac{3}{2}\)o

\(\frac{3}{2}\)

Probability is a branch of mathematics that deals with the study of random events or experiments. It involves the analysis of the likelihood or chance of an event occurring, usually expressed as a number between 0 and 1, where 0 indicates that the event will not occur and 1 indicates that the event is certain to occur.

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Answer:

4

Step-by-step explanation:

54 x 40 = 2160 L

2160 ÷ 600 = 3.6 = 4

The number of the cartons of 600 mL will be 4.

Algebra is the study of graphic formulas, while logic is the interpretation among those signs.

The school tuck-shop has milk in 600 mL and 1 liter cartons.

If there are 54 cartons and 40 L of milk in total.

The number of the cartons of 600 mL will be

⇒ 54 x 40

⇒ 2160 L

The number of cartons will be

⇒ 2160/600

⇒ 3.6

⇒ 4

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Answer:

The answer is: 4y(2x+y)

Step-by-step explanation:

Answer:

TALA RHYTHMIC PATTERNS

ACTIVITY 2: LET'S DO TALA

kind of membranophones/percussion instruments found at home for tapping. Record your

Directions: Perform the following tala rhythmic patterns using the given legend. Use any

performance using any recorder and send it to your

INSTRUMENTS AT HOME

MANJIRA

TIN CANS

1 2 3 4 5 6

х

1 2 3 4 5 6 7 8 9 10 11 12

GHATAM

PAL

X

х

0 X

TABLA

1 2 3 4 5 6 7 8 9 10

BOX

x xox

Answer:

5

Step-by-step explanation:

y

y=ax

where a is a constant of proportionality;

y=20, x=4

20=4a

a=20/4

a=5

y=5x

The constant of variation is 5

The constant of variation for the given relationship is 5.

Direct variations are defined as the functions of the form y = kx, where k is a constant.

Here when y increases, x increases and if y decreases, x also decreases.

Given that,

y varies directly as x

So the equation will be of the form,

y = kx

Here k is the constant of variation.

Given, y is 20 when x is 4.

So, 20 = 4k

k = 20 / 4 = 5

Hence the constant of variation for the given relationship is 5.

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The time Ann finished playing in the backyard is 12 : 15 pm

Total time = 9:38 + 41 minutes + 1 hour 56 minutes

= 10:19 + 1 hour 56 minutes

= 12 : 15 pm

Therefore, the time Ann finished playing in the backyard is 12 : 15 pm

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Answer:

Step-by-step explanation:

The probability that the friend is between 10 and 30 minutes late is approximately 0.6667, or 66.67%.

Since the probability density function is uniform, the probability of the friend being between 10 and 30 minutes late is equal to the area of the rectangle that lies between x = 10 and x = 30, and below the curve of the probability density function.

The height of the rectangle is equal to the maximum value of the probability density function, which is 1/30 since the interval of possible values for x is [0, 30] minutes.

The width of the rectangle is equal to the difference between the upper and lower limits of the interval, which is 30 - 10 = 20 minutes.

Therefore, the probability of the friend being between 10 and 30 minutes late is:

P(10 < x < 30) = (height of rectangle) x (width of rectangle)

= (1/30) x 20

= 2/3

≈ 0.6667

So the probability that the friend is between 10 and 30 minutes late is approximately 0.6667, or 66.67%.

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11) is 1/2 and 45% and 0.6 and finally 1

12) is 0 then 50% then 0.8 then 4

According to the given percentages, it is found that there is a 67% probability that a randomly selected man between the age of 25 and 34 does not search for green technology.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

We have that 33% of men search for green technology, hence, there is a 100 - 33 = 67% probability that a randomly selected man between the age of 25 and 34 does not search for green technology.

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Answer:

Option C.

Step-by-step explanation:

By definition of the discriminant of a quadratic equation,

- If discriminant is < 0, graphed parabola will have no real roots.

- If discriminant is = 0, parabola will have exactly one root.

- If discriminant is > 0, parabola will have two different real roots.

From the graph attached,

Parabola intercepts x-axis at two distinct points, which means there are two roots (two distinct x-values) of the given quadratic equation.

Therefore, discriminant for the graph is positive.

Option C. is the answer.

The percent decrease in the number of ponds that support brook trout would be approximately 47.37%.

To calculate the percent decrease in the number of ponds that support brook trout, we need to determine the difference between the initial number of ponds and the final number of ponds, and then express that difference as a percentage of the initial number of ponds.

Initial number of ponds: 19

Final number of ponds: 10

To calculate the percent decrease, we can use the following formula:

Percent Decrease = (Difference / Initial Value) * 100

Let's apply this formula to the given data:

Difference = Initial number of ponds - Final number of ponds

Difference = 19 - 10

Difference = 9

Percent Decrease = (9 / 19) * 100

Now, let's calculate the percent decrease:

Percent Decrease = (9 / 19) * 100

Percent Decrease ≈ 47.37%

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By applying the concept of corresponding angles in similar triangles, we were able to establish the value of x as 25 in the given scenario.

In the given problem, we are provided with information about the angles in two similar triangles: triangle ABC and triangle STU. It is stated that angle UTS in triangle STU is 100 degrees, and since corresponding angles of similar triangles are congruent, we can conclude that angle STU is also 100 degrees.

Next, we examine angle BAC in triangle ABC, which is given as 4x. Using the same logic, we know that angle BAC is also congruent to angle STU. Therefore, we can equate the two angles:

angle BAC = angle STU

4x = 100

To find the value of x, we divide both sides of the equation by 4:

x = 100/4

x = 25

Hence, we determine that x is equal to 25. This method allows us to leverage the known information about one triangle to infer the measurements of corresponding angles in the other similar triangle.

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Answer:

4.50x=63

Step-by-step explanation:

in sum 14 cars washed

An expression that can be used to find the cost of an n-minute long distance call, where n is at least 5 minutes is (0.55 + (n - 5) x 0.07) dollars.

Given:

Long Distance Rates Time (minutes) Cost5 $0.556 $0.627 $0.698 $0.769 $0.8310 $0.90We need to find an expression that can be used to find the cost of an n-minute long-distance call, where n is at least 5 minutes.

The cost of making a long-distance call is given for 5 minutes, 6 minutes, 7 minutes, 8 minutes, 9 minutes, and 10 minutes.

We can observe from the above table that for every increase of 1 minute, the cost increases by $0.07.

We can conclude that the cost of n minutes long-distance call is given by: (0.55 + (n - 5) x 0.07) dollars when n is at least 5 minutes.

Therefore, the required expression is: (0.55 + (n - 5) x 0.07) dollars when n is at least 5 minutes. The above expression is based on the pattern in the table provided for long-distance call rates. We can use this expression for values of n greater than or equal to 5.

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Answer:

4 2/3

Step-by-step explanation:

Answer:

16/25

Step-by-step explanation:

64 /4 = 16

100/4 =25