Which strategy can you use to find the sum?
9 + 6 =

Answer:

5/6 quarts of water

Step-by-step explanation:

2/3 same as 4/6. 4/6 + 1/6 = 5/6

Answer:

15/2

Step-by-step explanation:

Hello,

the area of a triangle is b*h/2

we can set BC as the base because AC is harder to calculate.

Then we draw an imaginary height.

There's no way to really explain, but the height would be 5 here, since 3 - -2 = 5

The base is 3

3*5/2 = 15/2

Thanks,

lacampanella

Answer:

Step-by-step explanation:

Danielle has :

Principal = $125

Time = 2 years

Rate = ?

Interest =

\(\frac{Principal \times Rate \times Time}{100}\)

Answer:

its D

Step-by-step explanation:

trust

The derivative of the function y =  ((2x - 1)³)/√(3x + 1)​ is dy/dx = (2x - 1)²[3x + 6]/(2[√(3x + 1)]³)

The derivative of a function is the limit as the change in x tnds to zero of the change in y over the change in x.

To find the derivative of the function y =  ((2x - 1)³)/√(3x + 1)​, we use the quotient rule.

dy/dx = (vdu/dx - udv/dx)/v²

where u = (2x - 1)³ and v = √(3x + 1)

So, du/dx = 3(2x - 1)² and dv/dx = 3/[2√(3x + 1)]

Substituting the values of the variables into the equation, we have that

dy/dx = (vdu/dx - udv/dx)/v²

dy/dx = (√(3x + 1) × 3(2x - 1)²  -  (2x - 1)³ × 3/[2√(3x + 1)])/[√(3x + 1)]²

dy/dx = (3√(3x + 1)(2x - 1)²  -  3(2x - 1)³/[2√(3x + 1)])/[√(3x + 1)]²

= (3√(3x + 1)√(3x + 1)(2x - 1)²  -  3(2x - 1)³/[2√(3x + 1)])(3x + 1)²

= [3(3x + 1)(2x - 1)²  -  3(2x - 1)³/[2√(3x + 1)])(3x + 1)²

= (2x - 1)²[3(3x + 1)  -  3(2x - 1)/[2√(3x + 1)])(3x + 1)²

= (2x - 1)²[9x + 3  -  6x + 3]/[2√(3x + 1)])(3x + 1)²

= (2x - 1)²[3x + 6]/(2[√(3x + 1)]³)

So, dy/dx = (2x - 1)²[3x + 6]/(2[√(3x + 1)]³)

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Answer:

d. -6

Explanation:

By the remainder theorem, we get that:

Where q(x) is another polynomial and r is the remainder.

To eliminate the value of q(x), we will replace x by -1 to get:

But f(x) = x^(88) + 5x - 2, so f(-1) will be equal to:

Therefore, if f(-1) = -6 and f(-1) = r, we get that

r = -6

So, the remainder is d. -6

Answer:

41.4

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj / hyp

cos x = 9/12

Taking the inverse cos of each side

cos ^-1 ( cos x) = cos ^-1 (9/12)

x = 41.41

To the nearest tenth

x = 41.4

Answer:

Step-by-step explanation:

Answer:

112

Step-by-step explanation:

Solve 12x + 6 2 9x + 12.

A. X2

B. xs2

O

C. X26

0

D. Xs6

SUBNANT

Hold on, our servers are swamped. Wait for your answer to fully load.

Step-by-step explanation:

8(2x-7) =8

16x - 56 = 8

16x = 64

x = 4

1). Distribute 8 and multiply.

2). Add 56 to both sides.

3). Divide both sides by 16.

Let me know of you have any questions!

Answer: Divide both sides by 88.

2x-7=1

2x−7=1

2 Add 77 to both sides.

2x=1+7

2x=1+7

3 Simplify  1+71+7  to  88.

2x=8

2x=8

4 Divide both sides by 22.

x=\frac{8}{2}

x=

2

8

​

5 Simplify  \frac{8}{2}

2

8

​

  to  44.

x=4

x=4

Step-by-step explanation:

Answer:

D, liner function

Step-by-step explanation:

number of employees goes up every year. If graphed it would be a line.

The domain of the equation include the following: D. all real numbers.

In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.

In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.

By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:

Domain = [-∞, ∞] or all real numbers.

Range = [-4, ∞}

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Answer:

29%

Step-by-step explanation:

5+48+22=75

22/75=0.2933

nearest % is 29%

The balance after 2 years with daily compounding interest is $551.38.

To calculate the balance after 2 years with each day compounding interest, we will use the formulation:

\(A = P(1 + r/n)^{(nt)\)

Where:

In this example, we have:

Substituting those values into the method, we get:

Consequently, the balance after 2 years with daily compounding bis $551.38.

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Answer:

x=11.34

Step-by-step explanation:

The tree is approximately 12 feet tall to the nearest tenth of a foot.

We have,

To find the height of the tree, we can set up a proportion using the measurements of the shadow.

Since we know that Tyler is 6 feet tall and his shadow is 10 ½ feet long, we can set up the following expression:

Tyler's height / Tyler's shadow length = Tree's height / Tree's shadow length

6 feet / 10.5 feet = Tree's height / 21 feet

To find the tree's height, we can cross-multiply and solve for it:

6 feet x 21 feet = 10.5 feet x Tree's height

126 feet = 10.5 feet x Tree's height

Dividing both sides of the expression by 10.5 feet:

126 feet / 10.5 feet = Tree's height

12 feet = Tree's height

Therefore,

The tree is approximately 12 feet tall to the nearest tenth of a foot.

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Answer:

Step-by-step explanation:

The BAC (Blood Alcohol Concentration) of a person depends on several factors, such as the amount of alcohol consumed, the time over which the alcohol was consumed, and the weight and gender of the person. For this problem, we will assume that the woman has a normal metabolism and that the alcohol is completely absorbed into her bloodstream.

To calculate the BAC at 8 pm, we need to know the amount of alcohol that the woman consumed and the time over which she consumed it. We are given that she had 2 mixed drinks between 7-8 pm, which contained a total of 2 ounces of liquor. We are also given that she had a glass of wine at 10 pm, but we don't need to consider this for the BAC at 8 pm.

Using the Widmark formula, we can calculate the BAC at 8 pm:

BAC = (Alcohol consumed / (Body weight x r)) - (0.015 x Hours since first drink)

where r is the gender constant (0.55 for females) and 0.015 is the rate at which the liver metabolizes alcohol.

Plugging in the values we know, we get:

BAC = (2 oz / (130 lbs x 0.55)) - (0.015 x 1 hour)

BAC = 0.0208 - 0.015

BAC = 0.0058

Therefore, the woman's BAC at 8 pm was approximately 0.0058, which is below the legal limit for driving in most states in the US.

Answer:

40% decrease

Step-by-step explanation:

The required percentage change from number 45 to number 18 is given as 60%.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

The change is observed as a decrease because the new number is 18 which is less than the original number 45.

To find the percent change, you can use the formula:

Percent change = (difference / original number) × 100

where difference = original number - new number

Plugging in the given values, you get:

difference = 45 - 18 = 27

Percent change = (27 / 45) × 100 = 60%

Thus, the percent change is a 60% decrease.

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Sorry I am late, but I think the first answer is wrong.

Answer:

53.34

Step-by-step explanation:

42 x .18 = 7.56

42 x .09 = 3.78

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

7.56 + 3.78 = 11.34

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

42 + 11.34 = 53.34

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

Answer = 53.34

Answer:

it's your second answer: )

Answer:

the one on the right

Step-by-step explanation:

:) s s

Answer:

angle v and angle w,  

angle x and angle y

(the first one)

a) k must be 0.09 for the table to be a valid probability model. b) The probability that at least one waiter and one chef show up on any given day is 0.97. c) The probability that more chefs show up than waiters is 0.74. d) The probability that more than three staff show up on any given day is 0.84.

e) The expected total number of staff that will show up on any given day is 4.24. f) The probability that three waiters will show up on any given day is 0. g) The probability that two chefs will show up on any given day is 0.09. h) X and Y are not independent.

a) For this to be a valid probability model, the sum of all the entries in the table must be equal to 1. Therefore, we have:

k + 0.03 + 0.03 + 0.03 + 0.02 + 0.03 + 0.05 + 0.04 + 0.01 + 0.01 + 0.06 + 0.67 = 1

Simplifying, we get:

k + 0.91 = 1

Therefore, k = 0.09.

b) The probability that at least one waiter and at least one chef show up on any given day is equal to 1 minus the probability that no waiter or chef shows up. From the table, we see that the probability that no waiter or chef shows up is 0.03. Therefore, the probability that at least one waiter and at least one chef show up is 1 - 0.03 = 0.97.

c) To find the probability that more chefs show up than waiters on any given day, we need to sum up the probabilities of all the cells where the number of chefs is greater than the number of waiters. From the table, we see that there are 3 such cells:

When X = 0 and Y = 2 (probability = 0.03)

When X = 1 and Y = 3 (probability = 0.04)

When X = 2 and Y = 3 (probability = 0.67)

Adding up these probabilities, we get:

0.03 + 0.04 + 0.67 = 0.74

Therefore, the probability that more chefs show up than waiters on any given day is 0.74.

d) To find the probability that more than three total staff (waiters and chefs) will show up on any given day, we need to sum up the probabilities of all the cells where X + Y > 3. From the table, we see that there are 5 such cells:

When X = 0 and Y = 4 (probability = 0.02)

When X = 1 and Y = 3 (probability = 0.04)

When X = 1 and Y = 4 (probability = 0.05)

When X = 2 and Y = 2 (probability = 0.06)

When X = 2 and Y = 3 (probability = 0.67)

Adding up these probabilities, we get:

0.02 + 0.04 + 0.05 + 0.06 + 0.67 = 0.84

Therefore, the probability that more than three total staff (waiters and chefs) will show up on any given day is 0.84.

e) To find the expected total number of staff (waiters and chefs) that will show up on any given day, we need to multiply each value in the table by its corresponding number of staff (X + Y) and sum up the results. From the table, we have:

When X = 1 and Y = 0, the expected number of staff is 1.

When X = 1 and Y = 1, the expected number of staff is 2.

When X = 1 and Y = 2, the expected number of staff is 3.

When X = 1 and Y = 3, the expected number of staff is 4.

When X = 1 and Y = 4, the expected number of staff is 5.

When X = 2 and Y = 0, the expected number of staff is 2.

When X = 2 and Y = 1, the expected number of staff is 3.

When X = 2 and Y = 2, the expected number of staff is 4.

When X = 2 and Y = 3, the expected number of staff is 5.

When X = 2 and Y = 4, the expected number of staff is 6.

Multiplying each of these expected numbers by its corresponding probability, we get:

0.09(0) + 0.03(1) + 0.03(2) + 0.03(3) + 0.02(4) + 0.03(1) + 0.05(2) + 0.04(3) + 0.01(4) + 0.01(5) + 0.06(6) + 0.67(5) = 4.24

Therefore, the expected total number of staff (waiters and chefs) that will show up on any given day is 4.24.

f) To find the probability that three waiters will show up on any given day, we need to sum up the probabilities of all the cells where X = 3. From the table, we see that there are no such cells. Therefore, the probability that three waiters will show up on any given day is 0.

g) To find the probability that two chefs will show up on any given day, we need to sum up the probabilities of all the cells where Y = 2. From the table, we see that there are 2 such cells:

When X = 0 and Y = 2 (probability = 0.03)

When X = 2 and Y = 2 (probability = 0.06)

Adding up these probabilities, we get:

0.03 + 0.06 = 0.09

Therefore, the probability that two chefs will show up on any given day is 0.09.

h) X and Y are not independent, as the value of X affects the probabilities in the second column and the value of Y affects the probabilities in the first row. Therefore, the statement "X and Y are independent" is FALSE.

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Answer:

500, 300

Step-by-step explanation:

Assuming the rounding is for nearest 100,

635-124

600-100

500

864-612

900-600

300

Answer:

4/7

Step-by-step explanation:

numbers between 8 to 15 is 7

so d even numbers are 4

that is d answer is 4/7

The probability that the number is an even number is 1/2.

The probability is defined as the ratio of number of favourable outcomes and the the total number of possible outcome.

A number from 8 to 15 is drawn at random.

The number between 8 to 15 are 8, 9, 10, 11, 12, 13, 14, 15 = 8

Total even number = 8, 10, 12, 14 = 4

The probability that the number is an even number is;

\(\rm Probability =\dfrac{Total \ even \ number }{Total \ numbers}\\\\ Probability =\dfrac{4}{8}\\\\ Probability =\dfrac{1}{2}\)

Hence, the probability that the number is an even number is 1/2.

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Answer:

Corresponding angles:

E=P

F = Q

G=R

H=N

Corresponding side:

EF=PQ

GH=RN

FG=QR

EH=PN

Step-by-step explanation:

Just match them=)

Answer:

Therefore, 0.00205 in scientific notation is 2.05 × 10-3 and It has 3 significant figures. In scientific e-notation it is written as 2.05e-3.

Step-by-step explanation:

Answer:

\(2.05 \times 10 ^{ - 3} \)

Answer:

Hope that will help you get

Answer:

What is the sum equal to?

Step-by-step explanation:

Answer: Choice D is correct

You use the HL (hypotenuse leg) theorem here.

The hypotenuse is the side opposite the right angle. In this case, the two hypotenuse segments overlap perfectly, so you'll use the reflexive property. The tickmarks tell us that we have a pair of congruent legs.

The other choices don't have enough information to be able to say if the triangles are congruent or not.

The pair of triangles D can demonstrate congruence. We are aware that two triangles are said to be congruent if the corresponding sides and angles of one triangle are equal to those of another triangle.

The measurements of the sides and angles of two or more triangles determine their congruence. A triangle's size is determined by its three sides, and its shape is determined by its three angles. If the pairs of corresponding sides and angles of two triangles are equal, they are said to be congruent.

The side opposite the right angle is known as the hypotenuse. You will employ the reflexive characteristic in this instance since the two hypotenuse segments exactly overlap one another. We have a set of legs that are congruent, according to the tickmarks.

The information provided by the alternate options is insufficient to determine whether or not the triangles are congruent.

Thus, the pair of triangles D can demonstrate congruence. We are aware that two triangles are said to be congruent if the corresponding sides and angles of one triangle are equal to those of another triangle.

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Step-by-step explanation:

f'(x)=-2sin(x)+2cos(2x)=0

as cos(2x)=2sin(x)cos(x),

-2sin(x)+4cos(x)sin(x)=0

sin(x)-2cos(x)sin(x)=0

(sin(x))(1-2cos(x))=0

-> x = 0, pi/3

testing these values along with the end points of the interval,

f(0)=2

f(pi/3)=1+(0.5sqrt(3))

f(pi/2)=0

so the min is 0 and the max is 2.