Which expressions are equivalent to the given expression?
√40
O 1602
0 401
2√10
0 5√8
☐ 4√10

Answer:

6.5sin(.04x+.4pi)-8

The function intersects its midline at (-pi,-8) and has a maximum point at (pi/4, "-1.5). The  final equation is h(x) = 4 sin(2x +  π /2) + 3.

A function is defined as a relation between the set of inputs having exactly one output each.

The function intersects its midline at (3π/4, 3) then the midline is d= 3.

The amplitude is just the positive distance between the maximum/minimum and the midline,

so the amplitude a = 7 - 3 = 4

Also, given that period is 2π/b and the fact that the period is π from our given maximum,

we have the equation 2π/b= π where b = 2

we know that the phase shift, -c/b is - π/4 (or  to the left)

since -π /4. Therefore, c = π /2.

our final equation is

h(x) = 4 sin(2x +  π /2) + 3.

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9514 1404 393

Answer:

  D  120

Step-by-step explanation:

We are given the relation ...

  48 = 0.40 × sales

Dividing by 0.40 gives the sales for the day.

  sales = 48/0.40 = 120

120 milkshakes were sold that day.

Answer: B

Step-by-step explanation:

To find the result of the dilation, multiply each x and y coordinate by the scale factor, which in this case, is 1.5. I started out with the coordinate P, which had an original coordinate of (-2,1). In this case, I multiplied -2 by 1.5, and 1 by 1.5 to get (-3, 1.5). Since this is multiple choice, the only one with P as (-3, 1.5) is B, so we don't have to check the others.

The answer is B.

1) Apply dilation

2)Find each one x coordinate (x,y)

3) Find the y coordinate for each one

4) See which one matches your answers

Hope this helps!

Answer:

45.4

454

4540

45400

Step-by-step explanation:

45.4x10^0=45.4

45.4x10^1= 454

45.4x10^2= 4540

45.4x10^3= 45400

Hope this helps

Answer:

The mean is 21.

The median is 21

There is no mode here.

Step-by-step explanation:

Answer:

b + 5; when b = 3.4 the distance Sandra rode is 17 miles.

Step-by-step explanation:

I think it's B

But it could be C

Or maybe A

Perhaps it might be D

Step-by-step explanation:

An investment of $6,400 to increase to $14,000 if it is invested at 5% per year compounded continuously is ≈15.6

Define compound interest?

Given that :

P = $ 6,400

Q = $ 14,000

r = 5%

Let P be the initial investment

r be the rate of interest

t be the time

Q be the increase amount

Q = P \(e^{rt} }\)

14,000 = 6,400 (\(e^{0.05t}\))

\(e^{0.05t}\) = \(\frac{14000}{6400}\)

\(e^{0.05t}\)  = 2.187

Taking log on both sides , we get

0.05t = ln (2.187)

0.05t = 0.78

       t = \(\frac{0.78}{0.05}\)

       t ≈ 15.6

An investment of $6,400 to increase to $14,000 if it is invested at 5% per year compounded continuously is ≈ 15.6

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Answer:

No solution

Step-by-step explanation:

4x = 4x + 1

0 unequal to 1

Answer: D. No solution

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Answer:

17 hours

Step-by-step explanation:

We first need to find the hourly rate:

156 / 12 = 13

Hourly Rate: $13

Now we can divide 221 by 13, this gives us 17.

That means that Frank will have to work 17 hours to make $221.

Hope this helps!

The domain and the range of each relation shown in the mapping and in the table of values given can be written as:

Mapping - Domain: {-2, -1, 0, 1}; Range: {-4, -2, 2}

Table - Domain: {-4, -2, 1, 4}; Range: {-2, 1, 4}

(See image attached below).

Recall:

From the mapping shown in the image given, the domain values are:

-2, -1, 0, 1

The range values are:

-4, -2, 2

From the table of values shown in the image given, the domain values are:

-4, -2, 1, 4

The range values are:

-2, 1, 4

Therefore, the domain and the range of each relation shown in the mapping and in the table of values given can be written as:

Mapping - Domain: {-2, -1, 0, 1}; Range: {-4, -2, 2}

Table - Domain: {-4, -2, 1, 4}; Range: {-2, 1, 4}

(See image attached below).

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Answer:

i think they are 23, 50, and 64!

Step-by-step explanation:

Answer:

28 words Maria got right

Step-by-step explanation:

70% of total words Maria got right

Therefore:

\(\frac{70}{100} *40= 28\)

Answer:

which one substitution or elimination

Step-by-step explanation:

Substitution: (-1,-3 )

Elimination: (-1,-3)

i hope this helps you :)

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The Boolean expression A >= B is equivalent to  !(A < B) (option A)

To simplify a Boolean expression, use De Morgan's Law.

De Morgan's Law is used to simplify or find the equivalent of a negation of compound expressions.

The principle is:

NOT (A AND B) is equivalent to (NOT A) OR (NOT B)

NOT (A OR B) is equivalent to (NOT A) AND (NOT B)

When the expression involves >, <, = signs, then to simplify the expression, move the not and flip the sign.

! is the symbol of negation or NOT.

Hence,

! (>) becomes <=

! (<) becomes >=

Here are some examples:

!(A > B) is equivalent to (A <= B)

!(A <= B) is equivalent to (A > B)

!(A >= B) is equivalent to (A < B)

!(A == B) is equivalent to (A != B)

!(A != B) is equivalent to (A == B)

!(A < B) is equivalent to (A >= B)

From the above list we can conclude that A >= B is equivalent to !(A < B) (option A)

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The proposed skyscraper is 172.8 m tall

From the question, we are to determine the how tall the proposed skyscraper is in meters

From the given information,

The scale of the model is

1 in : 7.2 m

and

The model is 2 ft tall

First, convert 2 ft to inches

NOTE: 1 foot = 12 inches

∴ 2 feet = 2 × 12 inches

= 24 inches

Now,

If 1 inch represents 7.2 m

Then,

24 inches will represent 24 × 7.2 m

24 × 7.2 m = 172.8 m

Hence, the proposed skyscraper is 172.8 m tall

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Answer:

Step-by-step explanation:

Thus, the time taken for the sum of $1500 to become $1600 with 6.49% simple annual interest rate is found as 1.027 years.

Simple interest is the percentage that is charged on the principal sum of money that is lent or borrowed. Similar to this, when you deposit a particular amount in a bank, you can also earn interest.

Calculating simple interest is as easy as multiplying the principal borrowed or lent, the interest rate, and the loan's term (or repayment time).

Given data:

Principal P = $1500

Amount after interest A = $1600

Rate of simple interest R = 6.49%

Time  = T years

The formula for the simple interest:

SI = PRT/100

A = P + SI

A = P + PRT/100

PRT/100 = A - P

1500*6.49*T/100 = 1600 - 1500

1500*6.49*T = 100 *100

T = 10000 / 9735

T = 1.027 years

Thus, the time taken for the sum of $1500 to become $1600 with 6.49% simple annual interest rate is found as 1.027 years.

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Answer:

it is too blury to read

Step-by-step explanation:

Answer:

3/5

Step-by-step explanation:

sinA = opposite/hypotenuse = BC/AC = 21/35 = 3/5

Answer:

The two right sided polygons.

Step-by-step explanation:

the first polygon can be split by only x-axis, while last polygon can be split by all aces

\(.\)

The polygons B and D are having reflection symmetry. Therefore, options B and D are correct answers.

We need to select all the polygons that have reflection symmetry.

Reflection symmetry is a type of symmetry about reflections. Even if there exists at least one line that divides a figure into two halves such that one half is the mirror image of the other half, it is known as reflection symmetry. It is also known as line symmetry.

When you divide the figures B and D in the middle you will get the symmetrical halves.

The polygons B and D are having reflection symmetry. Therefore, options B and D are correct answers.

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Answer:9/41

SOH = opposite over hypotenuse

Step-by-step explanation:

Answer:

The probability of selecting a daisy from S is less than the probability of selecting a daisy from T.

Step-by-step explanation:

The probability of selecting a daisy from S is 6/30=20%.

The probability of selecting a daisy from T is 6/12=50%

The probability of selecting a daisy from S is not equal to the probability of selecting a daisy from T.

The probability of selecting a daisy from S is less than the probability of selecting one from T.

The number 13% as an equivalent fraction is 13/100

From the question, the given parameter is

13%

This above number is a percentage or percentile

So, we have

Percentage = 13%

Next, we multiply the percentage by 1

So, we have

Percentage = 13% x 1

Express 1 as 100/100

So, we have

Percentage = 13% x 100/100

Evaluate the product of 13% and 100

So, we have

Percentage = 13/100

Rewrite as

Fraction = 13/100

The fraction cannot be further simplified

Hence, the equivalent fraction of 13% is 13/100

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Answer:

Question 1:

As the pollster used the telephone directory, they will get the numbers of listed people in that community. Cellphones are not listed along with households with telephones so these will be underrepresented.

Question 2:

Question 3:

Households with unlisted numbers will still be called because the person is using random dialling which means that even if the number is not listed, it can still be called. Households with landlines will most definitely be reachable as well.

The answer is 0.471 radians.

FORMULA:

Just do 27° × π/180 = 0.4712rad but then cut off the two.

Answer:

Its a scam AT&T has no such sale going on right now.

Step-by-step explanation:

Step-by-step explanation:

3528 ÷ 30 = 117.6

He should travel 117.6 m in one minute

The standard deviation of the data sample is 2.55.

The standard deviation of the data sample is calculated by applying the following formula;

S.D = √ (x -  μ)²/(n - 1)

where;

The given parameters;

mean,  μ = 64

x, = 12

number of samples = 9

The standard deviation of the data sample is calculated as;

S.D = √ (12 -  64)²/(9 - 1)

S.D = 2.55

Thus, the standard deviation of the data sample is calculated by applying the formula for standard deviation.

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Using p for price and q for quantity, the demand function is; q = -3/2p + 1590

Given that at;

The monthly demand at a price of $900 = 240

The monthly demand at a price of $850 = 315

We are told that the system is a linear function. Therefore demand function would be in the form of slope intercept form as;

q = mp + c

Where;

q = quantity demanded

p = price

m = slope

c = y-intercept

At a price of $900 with a monthly demand of 240 gives the equation;

240 = 900m + c  ---(1)

At a price of $850 with a monthly demand of 315 gives the equation;

315 = 850m+ c  ------(2)

Subtracting eqn 2 from 1 gives;

-75 = 50m

m = -75/50

m = -3/2

Substituting m = -3/2 into equation 1;

240= -3/2(900) + c

c = 240 + 3/2(900)

c = 1590

Therefore the demand function can be given as; substituting m and c into equation 5, we have; q = -3/2p + 1590

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