Choose Yes or No to tell whether each value of p is a solution for this inequality.
10p – 8 ≥ 12

The completed table with regards to terms of an expression are presented as follows;

     Condition      \({}\)              (6·x + 3) + (5·x - 4)            (-4·y - 16) - 8·y + 10 + 2·y

         Exactly 3 terms          N/A     \({}\)                              N/A

         Exactly 5 terms          N/A         \({}\)                          N/A

Includes a zero pair             No \({}\)                                   No

Uses distributive property   No                                    No

Includes a negative factor   No                                    

Has no like terms                False                                False

Condition       \(8 - \dfrac{1}{2} \cdot \left(4 \cdot x - \dfrac{1}{2} + 12\cdot x -\dfrac{1}{4} \right)\)  0.25·(8·m - 12) - 0.5·(-4·m + 2)

Exactly 3 terms       No                         \({}\)                    No

Exactly 5 terms       Yes                          \({}\)   \({}\)              No

Includes a zero pair No    \({}\)                         \({}\)              Yes

Uses the distributive property Yes            \({}\)             Yes

Includes a negative factor      Yes           \({}\)                Yes

Has no like terms                    No          \({}\)                  No

A mathematical expression is a collection of variables and numbers along with mathematical operators which are all properly arranged.

The details of the conditions in the question are as follows;

Terms of an expression

A term is a subunit of an algebraic expression which are joined together by operators such as addition or subtraction

Zero pair

A zero pair are two numbers that when added together have a zero result

Distributive property

The distributive property of multiplication states that the multiplication of a number or variable by an addend is equivalent to the sum of the multiplication of the number or variable and each member of the addend

Negative factor

A negative factor is a factor that has a negative sign prefix

Like terms

Like terms are terms consisting of identical variables with the same  powers of the variable

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Answer:

a = 6.7

Step-by-step explanation:

\(a^{2} + b^{2} = c^{2} \\\\a^{2} + 9.3^{2} = 6.4^{2} \\\\a^{2} + 86.49=40.96\\= 45.53\\\\\sqrt{45.53} \\= 6.7\\a= 6.7\)

Answer:

Step-by-step explanation:

Lol hi

The number of passcodes that can be formed from the letters {a, b, c, d} if each letter can only be used once is  24 according to permutations.

ni this problem we are not allowed to repeat the letters, so:  we will be referring to the permutations,  where Permutations are basically for the problems where the order or we can the arrangement matters

the formula for permutation is ⁿPr=n!/(n-r)! where n is the number of given letters and r is the number of letters to be used.here n and r are 4, substituting the values on the above  formula,  we get

⁴P₄=4!/(4-4)! = 4! = 4*3*2*1=  24

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The rate at which water is being poured into the cup when the water level is 9 cm is approximately 0.42 cm/sec.


To solve this problem, we can use related rates. Let's consider the height of the water in the cup as "h" and the radius of the water surface as "r". We know that the water level is rising at a rate of 3 cm/sec, which can be represented as dh/dt = 3 cm/sec.

Now, we need to find dr/dt, the rate at which the radius is changing when the water level is 9 cm. To do this, we can use similar triangles. The cone and the water form similar triangles, so the ratio of the radius of the water surface to the height of the water in the cup is constant. This means that r/h = 11/11 = 1. Therefore, the radius of the water surface is equal to the height of the water, r = h.

Differentiating both sides of the equation r = h with respect to time, we get dr/dt = dh/dt. Since we know that dh/dt = 3 cm/sec, we can conclude that dr/dt is also equal to 3 cm/sec.

So, when the water level is 9 cm, the rate at which water is being poured into the cup is approximately 0.42 cm/sec. This is because dr/dt = 3 cm/sec and r = 9 cm.

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Answer:

4

Step-by-step explanation:

For this, you need to find the scale factor of two sides that are already given to you.

So, we will have to use the hypotenuse and one of the legs to make sure there is an accurate scale factor.

Hypotenuse:

15 / 5 = 3

Leg:

6 / 2 = 3

____________

So the scale factor is 3.

Using the leg (with the x) we need to divide 12 by the scale factor (3) to give us what x is equal to.

12 / 3 = 4

So, the answer is 4.

Since McKenzie fills the 2-quart pitcher 2 times, there are a total of 4 quarts.

2 quarts × 2 times filled = 4 quarts

Recall that

1 quart = 4 cups

Since each quart is 4 cups, having 4 quarts is equivalent to

4 quarts × 4 = 16 cups

Therefore, there are a total of 16 cups of juice that was made.

Find AB , AC , DE and DF. If the ratios DE/AB and DF/AC are equal , then the triangles are similar

Given data ,

Let the first triangle be ΔABC

Let the second triangle be ΔDEF

Now , the corresponding sides are

DE/AB and DF/AC

Now , corresponding sides of similar triangles are in the same ratio.

On simplifying , we get

DE/AB = DF/AC

Hence , the triangles are similar

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Answer:

5√11 ÷ 11 (The very last choice)

Step-by-step explanation:

I first found out what 5/√11 was and got 1.507556723 and checked all the other options and found that 5√11 ÷ 11 was the only option that had the exact same quotient as 5/√11.

AB has endpoints A (1, 7) and B (5, 4) and DE has endpoints D (-6, -2) and E (-2,-5). The translation is by the rule (x - 7, y - 9), is used to transform AB to DE

Translation is a type of transformation that involve a linear movement.

The translation rule is gotten by comparing the points as below

preimage point A (1, 7) and B (5, 4)

image points D(-6, -2) and E(-2,-5)

x coordinate

using point A and D = -6 - 1 = -7

using point B and E = -2 - 5 = -7

y coordinate

using point A and D = -2 - 7 = -9

using point B and E = -5 -  = -9

Therefore the translation rule is (x - 7, y - 9) that got the image, point D and E from the preimage , point A and B

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Answer:

\(\huge\boxed{\sf h = 24}\)

Step-by-step explanation:

So,

2h + 8 + 3h - 3 + 31 + h = 180

Combine like terms

2h + 3h + h + 8 - 3 + 31 = 180

6h + 36 = 180

Subtract 36 to both sides

6h = 180 - 36

6h = 144

Divide 6 to both sides

h = 144/6

\(\rule[225]{225}{2}\)

Answer:

17.9

Step-by-step explanation:

Answer:

X is positive

Y is negative

Step-by-step explanation:

Just take the cos of angle - 60 for X

and also take the sin of angle - 60 for Y

You will find x positive, and y negative

Billy needs to make a minimum of 44 two-point shots to break Danny's record. This means he can make any number of three-point shots as long as he makes 44 two-point shots or more.

Let's assume that Billy makes x number of two-point shots and y number of three-point shots. The total number of points he scores from two-point shots would be 2x and from three-point shots would be 3y. The total number of points he scores would be 7 + 2x + 3y.

To break Danny's record, Billy needs to score 135 + 1 = 136 points.

We can set an equation to represent the minimum number of two-point shots that Billy could make:

2x + 3y ≥ 136 - 7

Simplifying the equation:

2x + 3y ≥ 129

Dividing both sides by 2:

x + 1.5y ≥ 64.5

Rounding up the result on the right side to 65:

x + 1.5y ≥ 65

Dividing both sides by 1.5:

x ≥ 43.33...

Rounding up the result on the right side to 44:

x ≥ 44

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Answer:

Sampling bias

Step-by-step explanation:

Sampling bias is due to the mistaken manner of selection of the respondents for the survey when conducting market research or similar survey. The sampling bias error is said to have occurred when the sample selection procedure, methodology, or process focuses on part of the population with a particular attribute, rather than being a random sample. Such that a given subset of the of the population are selected for the survey, which results in a biased sample.

Answer:

  59.7 mL

Step-by-step explanation:

You want to know the amount of acid if 341 milliliters of a solution of acid and water is 17.5% acid.

The relation between base, percentage, and amount is ...

  amount = percentage × base

In this relation, the percentage can be used directly on many calculators and spreadsheets. On others, it needs to be converted to a number or fraction before the multiplication can be done.

It can be useful to think of the % symbol as equivalent to "/100". Then we have ...

  amount = 17.5/100 × 341 mL = 59.675 mL

There are about 59.7 mL of acid in the solution.

Refer to the image for the graph of the lines.

The common form of the equation of a line is y = mx + c, where m is the slope of the line and c is a constant.

We need to draw any line with a slope m = 2, and

another line with a slope m = -2.

Disclaimer: Let us assume that the constant c = 0.

Then the equation to the line with a slope of "positive" 2 is given by

y = 2x

Then the equation to the line with a slope of "negative" 2 is given by

y = -2x

Refer to the attached image for the graph of the lines with the slope of "positive" 2 and "negative" 2.

f: green line indicates a line with a slope of "positive" 2.

g: blue line indicates a line with a slope of "negative" 2.

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Answer:  Option C, neither.

Step-by-step explanation:

Here we have the table:

x: -10    -3    4    11

y:   1      6    30   120

This means that if our function is f(x), then:

f(-10) = 1

f(-3) = 6

f(4) = 30

f(11) = 120

We want to know if this represents a linear equation or an exponential equation or neither.

First, let's try with a linear equation.

We know that a linear equation can be written as:

f(x) = a*x + b

Then let's input the known values and let's see if this equation works.

We can use two of the known points to get:

f(-10) = 1 = a*-10 + b

f(4) = 30 = a*4 + b

With these equations, we can find the value of a and b, once we find these values, we can see if the equation also works for the other two points.

1 = a*-10 + b

30 = a*4 + b

First, we need to isolate one of the variables in one of the equations.

I will isolate b in the first one:

b = 1 + a*10

Now we can replace this in the other one to get:

30 = a*4 + 1 + a*10

30 = 1 + a*14

30 - 1 = a*14

29 = a*14

29/14 = a = 2.07

and using the equation b = 1 + a*10 we can find the value of b:

b = 1 + 2.07*10 = 1 + 20.7 = 21.7

Then the equation we get is:

f(x) = 2.07*x +  21.7

Now we need to see if this works for the other two points:

for x = -3, we need to get: f(-3) = 6

f(-3) = 2.07*-3 + 21.7 = 15.49

We did not get the value we expected, then we already know that the relationship is not linear.

Now let's see if the relationship can be exponential.

An exponential function is written as:

f(x) = A*(r)^x

Let's do the same as above, let's use two of the known points to find the values of A and r

f(-3) = 6 = A*(r)^(-3)

f(4) = 30 = A*(r)^4

Now we have the system of equations:

30 = A*(r)^4

6 = A*(r)^(-3)

If we take the quotient of these two equations, we get:

(30/6) = (A*(r)^4)/( A*(r)^(-3))

5 = (r^4)*r^3 = r^(4 + 3) = r^7

(5)^(1/7) = r = 1.258

And the value of A is given by:

30 = A*(1.258)^4

30/( (1.258)^4 ) = 11.98

Then the exponential equation is something like:

f(x) = 11.98*(1.258)^x

Now let's see if this equation also works for the other two points:

for x = -10, we should get f(-10) = 1

Let's see that:

f(-10) = 11.98*(1.258)^(-10) = 1.2

And for x = 11 we should get f(11) = 120

f(11) =  11.98*(1.258)^(11) = 149.6

So we get values closer to the ones we should get, but not the exact ones, so this is not an exponential relation.

Then the correct option is C, neither.

1. The probability of selecting exactly one tank with high-viscosity material is 0.

2. The probability of selecting at least one tank with high-viscosity material is 1.

3. The probability of selecting exactly one tank with high-viscosity material and exactly one tank with high impurities is 0.25.

1. The probability of selecting exactly one tank with high-viscosity material is calculated by the binomial distribution formula, P(X = n) = (nCx)p^x(1-p)^n-x, where n is the number of trials, x is the number of successes, and p is the probability of success. In this case, n = 4, x = 1, and p = 24/24 = 1. Therefore, P(X = 1) = (4C1)1^1(1-1)^4-1 = 0.

2. The probability of selecting at least one tank with high-viscosity material is calculated by the complement rule, P(X > 0) = 1 - P(X = 0). In this case, P(X > 0) = 1 - (4C0)1^0(1-1)^4-0 = 1.

3. The probability of selecting exactly one tank with high-viscosity material and exactly one tank with high impurities is calculated by the binomial distribution formula, P(X = n) = (nCx)p^x(1-p)^n-x, where n is the number of trials, x is the number of successes, and p is the probability of success. In this case, n = 8, x = 2, and p = 24/24 = 1. Therefore, P(X = 2) = (8C2)1^2(1-1)^8-2 = 0.25.

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Answer:

287.64

Step-by-step explanation:

2πrh is the formula you use for the lateral surface area.

to get radius, we know its half of the diameter so 4.2.

plug them in and you get your answer :)

Answer:

Computer Science is more harder so I would go with Precalculus.

The possible solution set for the system is (- 1, 4) and (4, - 1).

Given are the equations as -

x + y = 3

x² + y² = 17

Refer to the graph of the function attached. The points of intersection represents the possible solution set.

Therefore, the possible solution set for the system is (- 1, 4) and (4, - 1).

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Answer: 1.19

Step-by-step explanation: To convert this mixed number (fraction) to a decimal just follow these two steps:

Step 1: divide numerator (19) by the denominator (100): 19 ÷ 100 = 0.19

Step 2: add this value to the the integer part: 1 + 0.19 = 1.19. So,

1 19/100 = 1.19

Rounded values:

1 19/100 = 1 rounded to 0 decimal places

1 19/100 = 1.2 rounded to 1 decimal place1

Answer:

cant see the pic

Step-by-step explanation:

Answer:

C.) SAS

Step-by-step explanation:

When the marks on a triangle are the same as another, they have a congruent measure.

In the given triangles, the red line and arch on both mean they have a congruent side and angle.

Since they share a side, that side is congruent for both.

So now we have a congruent side, angle, and side. This is the SAS theorem,

Answer:

"4" (and any subsequent words) was ignored because we limit queries to 32 words

Reason:

The equation is in y = mx+b form where

m = 20 = slope

b = 0 = y intercept

The slope is the rate of change. It tells us how fast y increases.

slope = rise/run = 20 = 20/1

rise = 20 = increase the earnings by 20 dollars

run = 1 = each time the number of hours go up by 1

A proportional odds model is an ordinal logistic regression model with the proportional odds assumption. To fit the model with all possible predictors, the p-values associated with each coefficient must be obtained using the summary() function in R. The p-values indicate whether the coefficients are significant at the 0.05 significance level and the significant coefficients tell us which predictor variables are associated with the response variable.

A proportional odds model is an ordinal logistic regression model with the proportional odds assumption. It is used to predict the relative odds of moving from one outcome to another. To fit a proportional odds model with all possible predictors, one needs to fit the model using the following code in R:mod - polr(Y  X1 + X2 + X3 + X4 + X5, data = mydata). To test for the significance of coefficients at the 0.05 significance level, one needs to look at the p-values associated with each coefficient. The most important details are that the p-values indicate whether the coefficients are significant at the 0.05 significance level, and that the significant coefficients tell us which predictor variables are associated with the response variable.

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Steps to solve:

4x + 1/3y^2 when x = 2 and y = 3

~Substitute

4(2) + 1/3(3)^2

~Simplify

8 + 1/3(9)

~Simplify

8 + 3

~Add

11

Best of Luck!

Answer:

its 3/4 i belive is the answer

Step-by-step explanation:

Answer:

-15/38

Step-by-step explanation:

positive divide by a negative is a negative

Step-by-step explanation:

c²=a²+b²

a²=c²-b²

a²= 15²-9²=225-81=144

a=√144=12

sinΩ=a/c=12/15=4/5

cosΩ=b/c=9/15=3/5

tanΩ=a/b=12/9=4/3