Factor and find the zero(s)

Answer:

15

Step-by-step explanation:

|-7|=7

|8|=8

7+8=15

Applying the tangent ratio, the value of x in the image, rounded to the nearest thousandth is: 15.824.

The tangent ratio, commonly referred to as "tangent," is a trigonometric function that relates the ratio of the length of the side opposite an angle to the length of the side adjacent to that angle in a right triangle. It is expressed as:

tan (∅) = opposite/adjacent

We have the following:

Reference angle (∅) = 53 degrees

Length of opposite side = 21

Length of adjacent side = x

Plug in the values:

tan 53 = 21/x

x * tan 53 = 21

x = 21 / tan 53

x = 15.824

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Answer:

3 months

Step-by-step explanation:

  35

-  19

=  16     left after keyboard

-  15     Three months of subscription costs

Answer:

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

Step-by-step explanation:

The slope/gradient of a line is defined by this formula:

\(\frac{y_{1}-y_{0} }{x_{1}-x_{0} }\)

Where you pick two coordinates, find the change in the \(y\) values, and divide it by the change in the \(x\) values.

Two coordinates that this line passes through are (3, -2) and (-3, 2).

You can take the second \(y\)-value (2) from the first \(y\)-value (-2) or vice versa, so long as you do it in the same order the \(x\) values.

For this example, I will take the first \(y\)-value (-2) from the second \(y\)-value (2), and take the first \(x\)-value (3) from the second \(x\)-value (-3).

The gradient/slope is defined by \(m\) in the following:

\(m=\frac{2--2}{-3-3}=\frac{4}{-6}=-\frac{4}{6}=-\frac{2}{3}\)

The domain and the range of the function are

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

The graph

The graph is a piecewise function

When combined gives an absolute function

The rule of a function is that

The domain is the set of all real numbers

This means that the input value can take all real values

However, the range is greater than the constant term

In this case, it is 0

So, the range is y > 0

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Question

The graph represents the piecewise function:

f(x) =

What is the domain and range of the function

Answer:200

Step-by-step explanation:

All you have to do is add.

Answer:

25

Step-by-step explanation:

because its simple math

anyways have an nice day

The group of people who participated in the study's sample survey was chosen at random to participate in it by the national grocery store chain. In this instance, the sample comprises the 1,000 customers from throughout the nation that participated in the survey. They are a segment of the total consumer base that frequents the chain's retail outlets.

The chain randomly surveyed 1,000 customers from around the country. It concluded from the study that 80% of all customers who hopped into the chain's stores were interested in the service. The nationwide grocery store chain randomly selected the participants in the study's sample survey from the general public.

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Answer:

x=- 31/2 or -15 1/2 or -15.5

Step-by-step explanation:

Answer:

x = 1

Step-by-step explanation:

Mean: 34.125, Median: 31.5, Mode: 38

Mean: 19.222, Median: 18, No mode

Mean: 8.611, Median: 8, Mode: 8

Let's find the mean, median, and mode for each set of numbers:

Set: 40, 38, 29, 34, 37, 22, 15, 38

Mean: To find the mean, we sum up all the numbers and divide by the total count:

Mean = (40 + 38 + 29 + 34 + 37 + 22 + 15 + 38) / 8 = 273 / 8 = 34.125

Median: To find the median, we arrange the numbers in ascending order and find the middle value:

Arranged set: 15, 22, 29, 34, 37, 38, 38, 40

Median = (29 + 34) / 2 = 63 / 2 = 31.5

Mode: The mode is the number(s) that appear(s) most frequently in the set:

Mode = 38 (appears twice)

Set: 26, 32, 12, 18, 11, 14, 21, 12, 27

Mean: Mean = (26 + 32 + 12 + 18 + 11 + 14 + 21 + 12 + 27) / 9 = 173 / 9 ≈ 19.222

Median: Arranged set: 11, 12, 12, 14, 18, 21, 26, 27, 32

Median = 18

Mode: No mode (all numbers appear only once)

Set: 3, 3, 4, 7, 5, 7, 6, 7, 8, 8, 8, 9, 8, 10, 12, 9, 15, 15

Mean: Mean = (3 + 3 + 4 + 7 + 5 + 7 + 6 + 7 + 8 + 8 + 8 + 9 + 8 + 10 + 12 + 9 + 15 + 15) / 18 ≈ 8.611

Median: Arranged set: 3, 3, 4, 5, 6, 7, 7, 7, 8, 8, 8, 8, 9, 9, 10, 12, 15, 15

Median = 8

Mode: Mode = 8 (appears 4 times)

Mean: 34.125, Median: 31.5, Mode: 38

Mean: 19.222, Median: 18, No mode

Mean: 8.611, Median: 8, Mode: 8

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No, the expression (x^3 - 1) / (x^2 - 1) does not simplify to x.

To simplify the expression, let's first factorize both the numerator and denominator.

The numerator can be factorized using the difference of cubes formula: a^3 - b^3 = (a - b)(a^2 + ab + b^2). So, we have (x^3 - 1) = (x - 1)(x^2 + x + 1).

The denominator is a difference of squares: a^2 - b^2 = (a - b)(a + b). Therefore, (x^2 - 1) = (x - 1)(x + 1).

Now, we can simplify the expression by canceling out the common factors in the numerator and denominator:

[(x - 1)(x^2 + x + 1)] / [(x - 1)(x + 1)]

The (x - 1) terms cancel out, leaving us with:

x^2 + x + 1 / (x + 1)

So, the simplified form of the expression is (x^2 + x + 1) / (x + 1), which is not equal to x.

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Answer:

1.5

Step-by-step explanation:

The height is 1.5 because to find the volume of a rectangular prism, you do length x width x height. Without height, you multiply length x width (6x2) and divide that by the volume (18 divided by 12 = 1.5)

Answer:

c

Step-by-step explanation:

assume base 10

-logy = x

\( \frac{1}{ log(y) } = x\)

log base x y = 5 turns into the format x^ 5 = y

implement that to get c

a) Probability that the next accident occurs between 50 and 100 days = 0.2044198

b) Probability that the time until an accident occur exceeds the mean time by more than 2 standard deviations =  0.04978707

c) The probability that it will be at least 80 days until an accident occurs = 0.2865048

d) the value of the median time until an accident occurs = 27.7258

Median time

a) Let T be the amount of time until an industrial facility accident occurs.

Daily rate lambda = 1/Mean = 1/40

Exp(lambda = 1/40), T

If the distribution is exponential,

P(T t) = 1 - exp (-lambdat) = 1 - exp(-t/40)

P(50 T 100) is the probability that the next accident will occur between 50 and 100 days.

= P(T < 100) - P(T < 50)

= (1 - exp(-​​​​​​​100/40)) - (1 - exp(-​​​​​​​50/40))

= exp(-1.25) (-1.25) - exp(-2.5) (-2.5)

= 0.2865048 - 0.082085

= 0.2044198

b) Standard deviation = Mean = 40 in the case of an exponential distribution.

The probability of the next accident occurring exceeds the mean time by two standard deviations.

= P(T > 40 + 2 * 40)

= P(T > 120)

= exp(-​​​​​​​120/40)

= exp (-3)

= 0.04978707

c) Given that there is no accident until 30 days, the likelihood is that it will be at least 80 days before an accident occurs.

= P(T > 80 | T > 30)

= P(T>80 and T>30) / P(T>30)

= P(T > 80) / P(T > 30)

= p(- 80/40) / exp(- 30/40)

= exp(-50/40) = (-1.25)

= 0.2865048

d) If the distribution is exponential,

P(T t) = 1 - exp(-lambdat) = 1 - exp(- t/40).

P(T t) = 0.5 for the median value Tm.

1 - exp(-​​​​​​​Tm/40) = 0.5

exp(-​​​​​​​Tm/40) = 0.5

-​​​​​​​Tm/40 = log (0.5)

-​​​​​​​Tm/40 = -0.6931472

Tm = 40 * 0.6931472

= 27.72589 days

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Answer:

d. 2 cm

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

1 : 1 :sqrt(2)

The legs are  in the ratio of 1 to 1

tan 45 = opp side / adj side

tan 45 = 1/1

tan 45 =1

Answer:

Step-by-step explanation:

Answer:

D) 32

Step-by-step explanation:

Given;

series: 56, 54, 50, 38, 34, ....

find the difference between successive numbers;

56         54        50             38            34             x

     2            4             12              4             2            

The highest difference between the numbers is  12, after which it decreases to 4 and finally back 2.

The next number "x" is calculated as;

34 - 2  = x

34 - 2 = x

32 = x

Therefore, the next number should be 32.

The next number that should come next in the series is 32.

Sequence is an arrangement of two or more things in a successive order.  Series is the cumulative sum of a given sequence of terms.

Given the numbers in the series: 56, 54, 50, 38, 34, . . ..

The difference is 2, 4, 12, 4, 2

The highest difference between the numbers is  12, after which it decreases to 4 and finally back 2. Hence:

The next number = 34 - 2 = 32

The next number that should come next in the series is 32.

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Answer:

the correct answer is 11.1% _your welcome ..kharis

Step-by-step explanation:

the correct answer is 11.1% _your welcome ..kharis

To find the percent error, start by listing the key information from the problem.

The pet store told Kenny the guinea pig would weigh 2 pounds when fully grown.

It actually weighs 1.8 pounds fully grown.

First, find the amount of error. It is the difference between 2 and 1.8, which is 0.2.

Now, use the formula to find the percent error.

percent error

=

amount of error

correct amount

=

0.2

1.8

=

0.1111…

You can rewrite this as a percent rounded to the tenths place, 11.1%

.

So, the percent error for the pet store's prediction is about 11.1%

.

The correct options are -

When something is bought on credit, an initial payment is made in the form of a down payment.

Given is that Renata is purchasing a condominium for $125,000. She wants to put down a down payment of 20%.

We can calculate the amount she is putting in down payment as -

{x} = 20% of 125000

{x} = 20/100 x 125000

{x} = 20 x 1250

{x} = 25000

Therefore, the correct options are -

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Answer:

60h +16 is the answer. If you wanna simpifiy it and the rule still applies then 60 times 4 =240 plus 16 which is 256. 256 is the Simplest anwser.

Step-by-step explanation:

Answer:

I hope this helps!

Step-by-step explanation:

Please mark brainiest

Answer:

You will need 3 \(\frac{11}{15}\) cups of sugar.

Step-by-step explanation:

1 1/3 x 2 4/5

another name for 1 is 3/3

3/3 + 1/3 = 4/3

Another name for 1 is 5/5

5/5 + 5/5 + 4/5 = 14/5

\(\frac{4}{3 }\) x \(\frac{14}{5}\) = \(\frac{56}{15}\)

I can break 56 into 15 + 15 + 15 + 11

\(\frac{15}{15}\) + \(\frac{15}{15}\) + \(\frac{15}{15}\) + \(\frac{11}{15}\)  another name for \(\frac{15}{15}\) is 1

1 + 1 + 1 + \(\frac{11}{15}\)

3 \(\frac{11}{15}\)

a) There are 2^6 = 64 subsets total.

b)  There are 2^3 = 8 subsets total

c) There are 2^5 = 32 subsets total

d) There are 32^4 = 48 subsets total

e)  There are (6 choose 4) = 15 subsets total

f)   There are 32 = 6 subsets total

g) There are is (6 choose 4) - (3 choose 4) = 15 - 0 = 15 subsets total

h) There are (3 choose 1) * (3 choose 3) = 3  subsets total

a) There are 2^6 = 64 subsets total.

b)  Since we need to include elements 2, 3, and 5 in a subset, we have 3 elements fixed, and we need to choose 1, 2, or 3 elements from the remaining 3 elements (1, 4, and 6). Therefore, there are 2^3 = 8 subsets that contain the elements 2, 3, and 5.

c) There are 2^5 = 32 subsets that contain at least one odd number. This can be seen by noticing that if a subset does not contain any odd numbers, then it must be {2,4,6}, which is not a valid subset since it does not satisfy the condition that it be a subset of S.

d) There are 32^4 = 48 subsets that contain exactly one even number. To see why, notice that there are 3 choices for which even number to include (2, 4, or 6), and then there are 2^4 = 16 choices for which of the remaining 4 odd numbers to include in the subset.

e) There are (6 choose 4) = 15 subsets of cardinality 4. This is the number of ways to choose 4 elements from a set of 6.

f) Since we need to include elements 2, 3, and 5 in a subset of cardinality 4, we have 3 elements fixed, and we need to choose 1 element from the remaining 3 even elements, and 1 element from the remaining 2 odd elements. Therefore, there are 32 = 6 subsets of cardinality 4 that contain the elements 2, 3, and 5.

g) The number of subsets of cardinality 4 that contain at least one odd number is equal to the total number of subsets of cardinality 4 minus the number of subsets of cardinality 4 that contain only even numbers. This is (6 choose 4) - (3 choose 4) = 15 - 0 = 15.

h) The number of subsets of cardinality 4 that contain exactly one even number is equal to the number of ways to choose 1 even number out of 3, and then the number of ways to choose 3 odd numbers out of 3. This is (3 choose 1) * (3 choose 3) = 3.

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Answer:

0.67

Step-by-step explanation:

Formula: k = y/x

k = 2/3

k = 0.66666666666

k = 4/6

k= 0.66666666666

k = 6/9

k = 0.66666666666

k = 8/12

Round 0.67

Hence, answer = 0.67

[RevyBreeze]

Answer:

2/3

Step-by-step explanation:

Direct proportions are given by:
y=kx where k is the constant
2=k×3
2/3=k

4=k×6
4/6=k
2/3 = k

6=k×9
6/9 =k
2/3 = k

8 = k×12
8/12 = k
2/3 = k

There will be about 95 counselors there with the help of expression 2375/50.

What are expressions exactly?

In mathematics, expressions are mathematical claims that consist of at least two sentences that contain numbers, variables, or both, and are linked by an operator in between. Mathematical operations include addition, subtraction, multiplication, and division. For instance, x + y is an equation in which the words x and y are separated by an addition operator. In mathematics, there are two types of expressions: numerical expressions, which include only numbers, and algebraic expressions, which contain both numbers and variables.

e.g. A number is 6 more than half of another number, x. This proposition can be stated mathematically as x/2 + 6. Mathematical expressions are used to answer complex problems.

Now,

Given that Total campers = 2375

and for each cabin there are 2 counselors and 50 campers

then no. of cabins = 2375/50

No. of counselors= 2*no. of cabins

=2*2375/50

=95

Hence,

            There will be about 95 counselors there with the help of expression 2375/50.

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Answer: 4



Step-by-step explanation:

Answer:

21%

Step-by-step explanation:

If it is correct pls mark me as brainliest and learn we

The normal range using a compound inequality is 1.5 < x < 4

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

pH values less than 4

pH values greater than 1.5

Represent the pH values with x

Using the above as a guide, we have the following:

x is less than 4

x is greater than 1.5

When represented as inequality, we have

x < 4 and x > 1.5

Combine the inequalities

1.5 < x < 4

Hence, the normal range is 1.5 < x < 4

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