x - 3/2 < -3
how do i solve this

Jeff places a pineapple with a mass of 890 grams on one side of a balanced scale. To balance the scale, he places 2 oranges, an apple, and a lemon on the other side.

In order to balance the scale, the total mass on each side must be equal. Since the pineapple has a mass of 890 grams, the sum of the masses of the 2 oranges, apple, and lemon on the other side must also be 890 grams.

Let's assume the masses of the oranges, apple, and lemon are x grams each. Therefore, the equation to balance the scale is: x + x + x + x = 890.

Simplifying the equation, we have: 4x = 890.

Dividing both sides by 4, we find that x = 222.5 grams.

So, each orange, the apple, and the lemon have a mass of 222.5 grams.

In this arrangement, the pineapple with a mass of 890 grams is balanced by 2 oranges, an apple, and a lemon, each weighing 222.5 grams, on the other side of the scale.

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x = 10 is the solution to the equation

Here, we want to find the value of x.

To find the value of x, we need to bring like terms together.

Answer:

x=10

Step-by-step explanation:

24-4=20 divided by 2 is 10

Answer:

(-4,9)

Step-by-step explanation:

substitute the given value for y into the first equation

x-5(-2x+1)=-49

distribute

x+10x-5=-49

add like terms

11x-5=-49

add 5 to both sides

11x=-44

divide both sides by 11

x=-4

now plug x into into the second equation

y=-2(-4)+1

y=8+1

add like terms

y=9

Answer:

70 degrees

Step-by-step explanation:

total angle in a triangle is 180 degrees

180-40= 140

Angle b and c is total of 140 degrees

they are isosceles so their measurements would be same.

angle b and c is 140÷ 2 = 70

so angle b is 70 degrees

Answer:

Step-by-step explanation:

An army base had provisions for 300 soldiers for  90 days. After 20 days, there should be provisions enough for 300 soldiers for another 70 days

= 21000 soldier-day

50 soldiers left so there are 300-50 = 250 soldiers left

if they consume food at the same rate, the remaining provisions will last

= 21000/250

= 84 days

Answer:

A

Step-by-step explanation:

Given f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Here g(x) = f(x) - 2 ← with c = - 2 < 0

Then g(x) is the graph of f(x) shifted down 2 units

Answer:

it is B. increasing

Answer:

C.it is a constant

Step-by-step explanation:

Hope this helped!

Please mark me as brainliest!

Answer:

125 questions

Answer:

125 questions

Step-by-step explanation:

0.06 apples does she have if,She has 3 papayas.

Calculate the item's quantity. P:Q = p/Q should be used as the format.

The total quantities for the two objects would be equal to the sum of "p" and "q."

If you can, reduce the complexity of the object ratios.

Final outcome is the ratio in its simplest form.

Much like fractions, ratios can be entirely simplified. Divide every number in a ratio by the same number until it is impossible to divide it any more. This will simplify the ratio.

Divide every number in a ratio by the same number until it is impossible to divide it any more. This will simplify the ratio.

Explanation:

6/100 = 0.06.

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0.06 apples does she have if,She has 3 papayas.

Calculate the item's quantity. P:Q = p/Q should be used as the format.

The total quantities for the two objects would be equal to the sum of "p" and "q."

If you can, reduce the complexity of the object ratios.

Final outcome is the ratio in its simplest form.

Much like fractions, ratios can be entirely simplified. Divide every number in a ratio by the same number until it is impossible to divide it any more. This will simplify the ratio.

Divide every number in a ratio by the same number until it is impossible to divide it any more. This will simplify the ratio.

6/100 = 0.06.

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Answer:

Step-by-step explanation:

The graph of the function (f + g)⁻¹ (x) = (x - 1) / 3 is shown in figure.

A relation between a set of inputs having one output each is called a function.

Given that;

The value of functions are,

⇒ f (x) = 2x

⇒ g (x) = x + 1

Now,

Since, The value of functions are,

⇒ f (x) = 2x

⇒ g (x) = x + 1

Hence, The value of (f + g) (x) is,

⇒ (f + g) (x) = f (x) + g(x)

                 = 2x + x + 1

                 = 3x + 1

So, We get;

⇒ (f + g) (x) = 3x + 1

Hence, The value of inverse of (f + g) (x) is,

⇒ y = 3x + 1

⇒ y - 1 = 3x

⇒ x = (y - 1) / 3

⇒ (f + g)⁻¹ (x) = (x - 1) / 3

Thus, The correct graph is shown in figure.

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Distance divided by speed equals time. Distance is calculated by subtracting the planets' distances.

The length of the line connecting two points is the distance between them. If the two points are on the same horizontal or vertical line, the distance can be calculated by subtracting the non-identical coordinates.

Distance = speed × time is the formula.

Therefore,

1. Assume that the sun and both planets are in line and that they are on the same side of the sun.

from the sun: Jupiter is 778,300,000

from the sun, Venus is 108,200,000

778,300,000 - 108,200,000 = 670,100,000

It would have to travel 670,100,000/6.701*10 with 8 square kilometers.

2. The three planets that are nearest to the sun are Mercury, Venus, and Earth.

Mercury's distance from the sun is 57,909,000 km.

Venus's distance from the sun is 108,200,000 km.

Earth's distance from the sun is 149,600,000 km.

combined distance between Mercury, Venus, and Earth

57,909,000+108,200,000+149,600,000 = 315,709,000

Because 315,709,000 km is less than 4,503,443,661 km, the distance from the sun to Neptune is less  than the sum of the distances from the sun.

3. Assume that every planet is on the same side of the sun and is in alignment with it.

Earth is equal to Earth at ten solar distances is 149,600,000 km *10.

New distance to Earth = 1,496,000,000km

Earth would be closest to Saturn at its distance from the sun is

1,496,000,000 -  1,296,000,000 =67,000,000

and the two would be 67,000,000 km apart.

4. Notation used in science: with a 7 square kilometer. The space shuttle moves at around 28,000 km/h.

To locate Time

Time =   Distance /speed

1,200,000,000 -28,000 =40,000 hrs.

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Answer:

Slope: 1/4

Y intercept: (0,-3)

Slope intercept equation: y= 1/4x - 3

Step-by-step explanation:

Statement 1, BD ≅ SD and ED ≅ TD would not be sufficient to prove quadrilateral BEST is a parallelogram.

A quadrilateral is a parallelogram if it satisfies any of the following conditions: Opposite sides are parallel and congruent, Opposite angles are congruent, Diagonals bisect each other. If a quadrilateral satisfies any of these conditions, it is a parallelogram.

Although BD ≅ SD and ED ≅ TD indicate that the diagonals bisect each other, it does not necessarily mean that the opposite sides are parallel. For example, a kite has diagonals that bisect each other but its opposite sides are not parallel.

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Shortest distance from the point (2, 0, -3) to the plane x + y + z = 1 is √3 units.

To find the shortest distance between a point and a plane, we can use the formula:

distance = |ax + by + cz + d| / √(a² + b² + c²)

where a, b, and c are the coefficients of the plane's equation, d is the constant term, and (x, y, z) is the coordinates of the point.

In this case, the plane is x + y + z = 1, so a = 1, b = 1, c = 1, and d = -1. The point is (2, 0, -3), so x = 2, y = 0, and z = -3. Plugging in these values, we get:

distance = |1(2) + 1(0) + 1(-3) - 1| / √(1² + 1² + 1²)

= 3 / √3

= √3

Therefore, the shortest distance from the point (2, 0, -3) to the plane x + y + z = 1 is √3 units.

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Answer:

25

Step-by-step explanation:

When we translate a graph adding X units it will have a horizontal shift to the left.

But if we subtract X units, it'll have a horizontal shift to the right

So in this case, x-3 means we are doing a horizontal shift to the right.

The maximum value of f(x, y)=x2-x-y on the region where 0 ≤ x ≤ 1 and 0 ≤ y ≤ 1 is 1.

To find the maximum value, we can set up a system of inequalities and solve it:

0 ≤ x ≤ 1
0 ≤ y ≤ 1
f(x, y)=x2-x-y

Since both x and y are greater than or equal to 0, their product will also be greater than or equal to 0. Therefore, the maximum value of the equation is when x = 1 and y = 0, since it maximizes the positive value of x2 while minimizing the negative value of -x-y. This means that the maximum value of f(x, y) is 1.

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The maximum value of f(x,y)=x^{2}-x-yf(x,y)=x 2 −x−y on the region where \{(x, y): 0 \leq x \leq 1,0 \leq y \leq 1\} is 0.

To find the maximum value, we need to find the critical points of the function and test them within the given region. The critical points are where the partial derivatives of the function are equal to 0.

The partial derivative with respect to x is:
f_x(x,y)=2x-1

The partial derivative with respect to y is:
f_y(x,y)=-1

Setting these partial derivatives equal to 0, we get:
2x-1=0 --> x=1/2
-1=0 --> no solution for y

So the only critical point within the given region is (1/2, y) for any value of y. However, since the partial derivative with respect to y is always -1, the function is decreasing with respect to y. Therefore, the maximum value will occur when y is at its smallest value, which is 0.

Plugging in x=1/2 and y=0 into the original function, we get:
f(1/2,0)=(1/2)^{2}-(1/2)-0=0

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The system of equation that can be used to represent the situation is as follows:

The number of water bottle bought = 6

The number of pretzel bought = 10

Let

x = number of water bottle bought

y = number of pretzel bought

Hanson buys 16 items. Therefore,

Hanson spends a total of $47. Therefore,

Therefore, let multiply equation(i) by 2

2x + 2y = 32

2x + 3.5y = 47

1.5y = 15

y = 15 / 1.5

y = 10

x + 10 = 16

x = 6

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step by step have no idea but it's a

Answer:

60 minutes

Step-by-step explanation:

It took him 30 minutes to run 5 kilometers, so doubling 5 to 10 would double 30 to 60 minutes

Answer:

So what we need to do is find out how many are left after taking away the 8th graders.

15x - 8x =  7x

so we have part of that

7x

Then 13xy - 8xy

5xy

10y - 8y

2y

this means that for 7th graders its

7x + 5xy + 2y

Step-by-step explanation:

Answer:

7x + 5xy + 2y is the number of 7th graders in the school.

Step-by-step explanation:

We are told that the total number of students is 15x + 13xy + 10y for both, 7th and 8th grade. We are also told that there are 8x + 8xy + 8y 8th graders. Incase you weren't able to figure out by this detail, we need to subtract to find the answer. We need to subtract the total students, 15x + 13xy + 10y, from the 8th graders, 8x + 8xy + 8y.

The steps would look like this:

   15x + 13xy + 10y

— 8x + 8xy + 8y

---------------------------

  7x + 5xy + 2y

15 - 8 = 7

13 - 8 = 5

10 - 8 = 2

Answer:a

Step-by-step explanation:

Answer:

The Answer is a

Step-by-step explanation:

Step-by-step explanation:

the area of a triangle is

baseline × height / 2

the baseline (where the height hits at a 90° angle) is 4 m.

the height is 3.7 m.

so, the area is

4 × 3.7 / 2 = 2 × 3.7 = 7.4 m²

The number of keys required to fully implement a symmetric algorithm with 10 participants is: 45 (Option C)

Symmetric encryption or Algorithm is a kind of encryption that uses a single key (a secret key) to encrypt and decode electronic data.

The key must be exchanged between the organizations communicating using symmetric encryption so that it may be utilized in the decryption process.

The formula that determines the number of keys necessary for a symmetric algorithm is given as;

(n*(n-1))/2,

which is 45 in this situation, when n = 10.

That is

(10 * (10-1))/2

= 45.

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Full Question:

How many keys are required to fully implement a symmetric algorithm with 10 participants?

A. 10

B. 20

C. 45

D. 100

The probability that a child, picked at random, has a height greater than 116 cm  is approximately 27.43%.

To determine the probability that a child, picked at random, has a height greater than 116 cm, we need to have some information on the distribution of heights for children. Assuming that the heights of children follow a normal distribution with a mean of 110 cm and a standard deviation of 10 cm, we can use the z-score formula to calculate the probability.

The formula for the z-score is:

z = (x - μ) / σ

where x is the height we are interested in, μ is the mean height, and σ is the standard deviation. In this case, we want to find the probability of a child being taller than 116 cm, so x = 116 cm.

z = (116 - 110) / 10 = 0.6

Using a standard normal distribution table, we can find the probability of a z-score of 0.6 being exceeded. The probability of a child having a height greater than 116 cm is equal to the area under the standard normal curve to the right of the z-score of 0.6.

From the standard normal distribution table, we can find that the probability of a z-score of 0.6 being exceeded is 0.2743. Therefore, the probability that a child picked at random has a height greater than 116 cm is approximately 0.2743 or 27.43%.

In conclusion, assuming a normal distribution of heights for children with a mean of 110 cm and a standard deviation of 10 cm, we can use the z-score formula to calculate the probability of a child having a height greater than 116 cm. The probability is approximately 27.43%.

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The graph will be a downward-facing curve that approaches but never reaches the x-axis as t increases. The area under the curve is equal to 1, and the probability distribution is normalized. The mean of this distribution is infinity.

a. To sketch the probability distribution function, we can start by plotting the function for several values of t. For t = 0, f(t) = 1. As t increases, f(t) decreases and approaches 0 asymptotically. The graph will be a downward-facing curve that approaches but never reaches the x-axis as t increases.

b. To show that the probability distribution is normalized to 1, we need to show that the area under the curve is equal to 1. To do this, we can integrate the function from 0 to infinity:

∫f(t) dt = ∫1 - e^(-t/to) dt

= t - to*e^(-t/to) |0 to infinity

= infinity - 0

= 1

Therefore, the area under the curve is equal to 1, and the probability distribution is normalized.

c. To evaluate the mean of the distribution, we can use the formula for the mean of a continuous distribution:

mean = ∫t f(t)dt

= ∫t(1 - e^(-t/to)) dt

= t^2/2 - tote^(-t/to) |0 to infinity

= infinity - 0

= infinity

Therefore, the mean of this distribution is infinity.

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Answer:

7y+21

Step-by-step explanation: i solve it hope this help.

Answer:

\(\bold{7y+21}\)

Step-by-step explanation:

Hi there!

Let's solve this math problem by using the Distributive Property.

All we have to do is "distribute" 7 (multiply it by all the terms inside the parentheses):

Hope it helps! Enjoy your day!

~ Just a teenage girl willing to help

\(\bold{Besties4Ever:-):-)}\)