For the diagram below, Find the missing values

Answer:

x=1.875

Step 1: you need to multiply the brackets.

-2(5x+8) = -10x-16

-10x-16=14+6x

Step 2: you want to put the x on one side, so take away 6 x from both sides

-10x-6x=-16x, 6x-6x=0

-16x-16=14

Step 3: add 16 to both sides so the whole numbers are on one side

-16+16=0, 14+16=30

-16x=30

Step 4: finally, divide the whole by the number of x, so 16

x=1.875

If you need to round it to a significant figure:

1 Sf: x=1.9

2Sf: x=1.78

3 Sf: the final answer only has three figures after the decimal.

Step-by-step explanation:

Hope this helps, have a wonderful day!

The probability that the next ball taken out will be white, given that the first added ball was white and the first ball taken out was white, is 1/2.

To determine the probability that the next ball taken out will be white, we can use conditional probability. Let's denote the events as follows: A - the first added ball was white, B - the first ball taken out was white.

We need to find P(B|A), which represents the probability of event B (the second ball taken out is white) given that event A (the first added ball was white) has occurred.

The probability of event B and A both occurring is P(A∩B) = P(A) * P(B|A). Since P(A) = 1/2 (equal probabilities of adding a white or black ball), we need to determine P(B|A).

Given that the first ball taken out was white, we have two cases to consider: either the added ball was white (WW) or the added ball was black (BW). The probability of the second ball being white in each case is 1 (WW) and 0 (BW) respectively.

Thus, P(B|A) = P(B|WW) * P(WW) + P(B|BW) * P(BW) = 1 * (1/2) + 0 * (1/2) = 1/2. Therefore, the probability that the next ball taken out will be white is 1/2.

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Answer:

5x+2y<=30

Step-by-step explanation:

Inequalities help us to compare two unequal expressions. The graph for the inequality can be made as shown below.

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

As per the graph let the number of pounds of quinoa be represented by x and the number of pounds of rice Celeste can buy be represented by y.

Therefore, the expression that can represent the number of pounds that Celeste can buy is,

5x + 2y

Also, it is given that Celeste can spend no more than $30. Therefore, the inequality can be written as,

5x + 2y ≤ 30

Now the graph for the inequality can be made as shown below.

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A factor is the product of one number multiplied by another number. When you multiply two or more numbers together, the original numbers are called factors.

Consider the following example: Factor pairs are two numbers that, when multiplied together, produce a specific product. The factor pairs of 12 are:1 x 12 = 122 x 6 = 123 x 4 = 12A factor is a number that divides into another number evenly. A factor is a divisor. Every number has at least two factors: one and itself.

A factor of a number is any number that divides into it evenly, leaving no remainder. Therefore, the correct answer to the given blank is A. Factor.

Factors are numbers that are multiplied to obtain a result, and they are commonly used in mathematics. They're an important component of problem-solving. In factoring, you'll break down an equation into smaller parts to make it more manageable, and then combine those smaller parts to solve the problem.

Factorization is the process of writing a number as a product of two or more factors. For example, the factorization of 12 is 2 × 2 × 3. The prime factorization of a number is the factorization in which all factors are prime.

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Answer:

4(1+1)=8

Step-by-step explanation:

x=1

Answer:

278.4 dollars

Step-by-step explanation:

So you know that each month is 29.00 dollars

You mutilpy that by 12 to find out the total cost for paying each month

That would be 348 dollars

So if you pay upfront that takes 20 percent off

So you take the 348 and take 20 percent off

That would be 69.6

So then to find the amount saved you subtract 69.6 from 348

Which would be 278.4 dollars

They saved 278.4 dollars

Minimum score required for the scholarship = 605

To find the minimum score required for the scholarship, we need to find the score that corresponds to the top 6% of scores.

First, we need to find the z-score that corresponds to the top 6%. We can use the standard normal distribution table or calculator to find this.

Using the calculator, we can input:

normalcdf(0.94,9999)

This gives us the area under the curve to the right of z=0.94, which is the z-score that corresponds to the top 6%.

We get: 0.1664

This means that the top 6% of scores correspond to z-scores greater than 0.94.

Now we can use the z-score formula:

z = (x - μ) / σ

where x is the score we want to find, μ is the mean (489), and σ is the standard deviation (112).

Rearranging this formula, we get:

x = z * σ + μ

Substituting in the values we have:

x = 0.94 * 112 + 489

x = 605.08

Rounding this to the nearest whole number, we get:

Minimum score required for the scholarship = 605

To find the minimum score required for the scholarship, we will use the given information about the SAT writing scores being normally distributed with a mean (µ) of 489 and a standard deviation (σ) of 112. We need to find the score that corresponds to the top 6%.

Step 1: Convert the percentage to a decimal. Top 6% = 0.06.

Step 2: Find the Z-score that corresponds to the top 6%. This means we want to find the Z-score that has 1 - 0.06 = 0.94 area to the left. Using a Z-table, you can find that the Z-score is approximately 1.555.

Step 3: Use the Z-score formula to find the minimum score (X):

Z = (X - µ) / σ

1.555 = (X - 489) / 112

Step 4: Solve for X:

1.555 * 112 = X - 489

174.16 = X - 489

X = 663.16

Round to the nearest whole number: X = 663.

So, the minimum score required for the scholarship is 663.

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Answer:

12 feet

Step-by-step explanation:

-16t^2+ 26t + 12  = h(t)     when t = 0    (put in '0' for 't')

               12 feet = h

Answer:sdfsfs

Step-by-step explanation:

sfsdfs

Answer:

x=7 people

Step-by-step explanation:

x=9-2

Answer:

976.627, 976.328, and 978.327

Step-by-step explanation:plz give Brainlyest

Answer: (Greatest: 978.327) (Middle: 976.627) (Least: 976.328)

Step-by-step explanation: Hope this helps!

Answer:

Step-by-step explanation:

FE=4+4=8

Altitude=3+3=6

area=1/2×FE×6=1/2×8×6=24 sq. units.

or

area=1/2×

I 1   3|

|-4 -3|

| 4 -3|

|  1  3|

=1/2[(-3+12)+(12+12)+(12+3)]

=1/2[9+24+15]

=1/2[48]

=24 sq. units

In order to solve the system of equations, let's equate both values of y and solve for x using the quadratic formula:

Now, let's calculate the values of y for each value of x:

Therefore the solutions are (1, 7) and (5/2, 10).

Correct option: second one.

The given mathematical expression is evaluated for the input values (2, 4). The result of the expression is calculated using various operations such as addition, multiplication, square root, natural logarithm, minimum, maximum, and function composition.

The expression f(x1, x2) involves several mathematical operations. Let's evaluate each part of the expression step by step:

1. The first term is 421 + 222, which equals 643.

2. The second term is 3x² + 213. Plugging in x1 = 2 and x2 = 4, we get 3(2)² + 213 = 3(4) + 213 = 12 + 213 = 225.

3. The third term is 5x11². Substituting x1 = 2 and x2 = 4, we have 5(2)(11)² = 5(2)(121) = 1210.

4. The fourth term is (√₁+√₂)². Replacing x1 = 2 and x2 = 4, we obtain (√2 + √4)² = (1 + 2)² = 3² = 9.

5. The fifth term is 10ln(₁). Plugging in x1 = 2, we have 10ln(2) = 10 * 0.69314718 ≈ 6.9314718.

6. The sixth term is (x₁+x₂)(x² + x3). Substituting x1 = 2 and x2 = 4, we get (2 + 4)(2² + 4³) = 6(4 + 64) = 6(68) = 408.

7. The seventh term is min(3r1, 10√2). As we don't have the value of r1, we cannot determine the minimum between 3r1 and 10√2.

8. The eighth term is max{5x1,2r2}. Since we don't know the value of r2, we cannot find the maximum between 5x1 and 2r2.

9. Finally, we have MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2), which are not defined or given.

Considering the given expression, the evaluated terms for the input values (2, 4) are as follows:

- 421 + 222 = 643

- 3x² + 213 = 225

- 5x11² = 1210

- (√₁+√₂)² = 9

- 10ln(₁) ≈ 6.9314718

- (x₁+x₂)(x² + x3) = 408

The terms involving min() and max() cannot be calculated without knowing the values of r1 and r2, respectively. Additionally, MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2) are not defined.

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Answer:

with what know question was there

They can buy between 3 and 13 pairs of earrings.

The correct answer is: 115 ≤ 9(3) + 6(11) + 6x ≤ 175;

To set up an inequality to model the problem, we can start by calculating the total cost of the bracelets and necklaces.

The cost of 9 bracelets at $3 each is 9 \(\times\) 3 = $27.

The cost of 6 necklaces at $11 each is 6 \(\times\) 11 = $66.

Therefore, the total cost of the bracelets and necklaces is $27 + $66 = $93.

Let's represent the number of pairs of earrings they can buy as "x". The cost of each pair of earrings is $6.

Now, we can set up the inequality to represent the given condition:

$115 ≤ 9 \(\times\) 3 + 6 \(\times\) 11 + 6x ≤ $175

Simplifying the inequality, we have:

$115 ≤ 27 + 66 + 6x ≤ $175

Combining like terms, we get:

$115 ≤ 93 + 6x ≤ $175

To isolate "x", we can subtract 93 from all parts of the inequality:

$115 - 93 ≤ 6x ≤ $175 - 93

This simplifies to:

22 ≤ 6x ≤ 82

Now, divide all parts of the inequality by 6:

22/6 ≤ x ≤ 82/6

This gives us:

3.67 ≤ x ≤ 13.67

Since we cannot have a fraction of pairs of earrings, we round down the lower limit and round up the upper limit:

3 ≤ x ≤ 14

Therefore, they can buy between 3 and 14 pairs of earrings.

So, the correct answer is:

115 ≤ 9(3) + 6(11) + 6x ≤ 175; They can buy between 3 and 14 pairs of earrings.

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Answer:

7.94

Step-by-step explanation:

\(\displaystyle C(t)=\frac{0.9t}{t^2+63}\\\\C'(t)=\frac{0.9(t^2+63)-0.9t(2t)}{(t^2+63)^2}\\\\C'(t)=\frac{0.9t^2+56.7-1.8t^2}{(t^2+63)^2}\\\\C'(t)=\frac{-0.9t^2+56.7}{(t^2+63)^2}\\\\0=\frac{-0.9t^2+56.7}{(t^2+63)^2}\\\\0=-0.9t^2+56.7\\\\0.9t^2=56.7\\\\t^2=63\\\\t\approx7.94\)

Therefore, the time when the concentration is at a maximum is about 7.94 hours.

Answer:

Round 1.9 to 2 cm and multiply by 18.

Step-by-step explanation:

Round 1.9 to 2 cm and multiply by 18. then you will get your answer

Answer:

T (1,-8)

S (1,-10)

U (9,-8)

R (10,-9)

x=2/3

6(2/3) + 4 9/10 =4 + 4 9/10 = 8 9/10

Answer:

2x-1=y,2y+3=x

Step-by-step explanation:

no explanation

The error in the reading on the staff held at a distance of 100 m is approximately 83.91 meters.

To find the error in the reading on the staff, we need to convert the deflection of the bubble into an angular error. The sensitiveness of the bubble tube is given as 20" per 2 mm division, which means that each 2 mm division corresponds to a deflection of 20".

Given that the bubble is deflected by two divisions from the center, the total deflection is 2 divisions * 20" per division = 40".

Next, we need to calculate the angular error. We can use the small angle approximation, which states that for small angles, the tangent of the angle is approximately equal to the angle itself in radians.

Therefore, the angular error can be approximated as 40" * (π/180) radians. Now, to calculate the linear error at a distance of 100 m, we need to consider the relationship between angular error, linear error, and the distance from the level.

This relationship can be expressed as follows:

Linear Error = Distance * Tangent(Angular Error)

In this case, the distance is 100 m, and the angular error is 40" * (π/180) radians. Substituting these values into the equation, we can calculate the linear error:

Linear Error = 100 m * tan(40" * (π/180))

Using a calculator, we find that tan(40" * (π/180)) ≈ 0.8391.

Therefore, the linear error in the reading on the staff held at a distance of 100 m from the level when the bubble is deflected by two divisions from the center is approximately:

Linear Error = 100 m * 0.8391 ≈ 83.91 m.

Hence, the error in the reading on the staff is approximately 83.91 meters.

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Answer:it's

Step-by-step explanation:

Answer:

Area = 294 cm^2

Volume = 343 cm^3

Step-by-step explanation:

Simply plug in s = 7 into the given equations.

\(6s^{2} = 6*7^{2} = 294 cm^{2}\)

\(s^{3} = 7^{3} = 343 cm^{3}\)

Answer:

he answer is 140 minutes to plant 14 saplings.

Step-by-step explanation:

30 divided by 3=10

so it takes 10 minutes to plant one sapling.

10x14=140 so this is how you get your answer. im 99% sure

Answer:

100.8÷3.6=28

he grew the plant for 28 days

Answer:

its 9

Step-by-step explanation:

144 ounces to pounds is 9

Let:

Therefore:

Given that the equation of the line in the diagram is `y = 5 - x`. The line cuts the y-axis at P. So, the coordinates of point P are (0,5) and the gradient of the line is `-1`.

The equation of the line can be written as `y = -1x + 5`.Therefore, the y-intercept of the line is 5. Therefore, the coordinates of point P are (0,5).

To find the gradient of the line, we have to write the equation of the line in the form of `y = mx + c`.

We can rewrite `y = -1x + 5` as `y = (-1)x + 5`.From the above form of the equation, we can see that the gradient `m` is `-1`.Therefore, the gradient of line 1 is `-1`.Hence, the required answer is: Coordinates of point P is `(0,5)`.The gradient of the line is `-1`.

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Answer:

a(n) = (-1)^n × 3^(-1+n)

Answer: $23.92

Step-by-step explanation:

First, we know that 6 bagels is $2.99.

48/6=8

This means that 6 is a multiple of 48, which makes it easier to solve.

$2.99 x 8 = 23.92

= $23.92