Need help with math ASAP!

Answer:

C) -x²+9x²-27+27

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Answer:

Its A. The initial out-of-pocket cost is less for the lease.

Step-by-step explanation:

I just got it right:)

Tim needs a new car when he is in college for 3 years. The car is like a $15,000 a local dealer got him a deal of 7% of interest worth a 3 year loan. If Tim can give him $1500 as a down payment.

He needs initially make out of the pocket costs less when taking the lease.

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Answer:

f = 19

Step-by-step explanation:

8 = f - (13 - 2)

f - (13 - 2) = 8

f - 11 = 8

f - 11 + 11 = 8 + 11

f = 19

Answer:

i think the answer is f=19

Answer:  # 4.) 9.4

#5.) 10.2 cm  

#6.) 5 inches .

Step-by-step explanation: Assuming that a right triangle is expected, use the Pythagorean Theorem to calculate the third side: a² + b² = c²

\(5^{2}+8^{2}=89\)  Then take the square root of 89. A calculator is handy for most of these!

√89 = 9.433981 .  Round to 9.4

\(2^{2}+10^{2}=104\)

√104 = 10.1980  Round to 10.2 Remember to include the units, cm in the answer.

Memorize this one:

Given side lengths of 3 & 4, the hypotenuse is 5!

3² + 4² = 5²   Called a "Pythagorean Triple"

9 + 16 = 25

The square on the hypotenuse is a perfect square of 5

No calculator necessary, and you are likely to see this ratio in other questions.

A comparison of multiple treatments and the use of the double-blind method are two fundamental components of all statistically designed experiments. (6) Compare various treatments; assign patients to treatments at random.

What is double-blind method?

A kind of clinical experiment in which neither the participants nor the researcher is aware of the treatment or intervention that each participant is receiving until the trial is complete.

                      This reduces the likelihood of skewed study outcomes.

What is a sample of a double-blind study?

Imagine, for instance, that researchers are looking into the effects of a novel medication.

                            The participants in a double-blind study would not be aware of who was receiving the real medication and who was receiving a placebo, and neither would the researchers who interact with them.

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The complete question is -

Two essential features of all statistically designed experiments are (2 Points) O use enough subjects; always have a control groups O always have a placebo group; use the double - blind method O use a block design; use chance to assign subjects to treatments O compare several treatments; use the double - blind method O compare several treatments; use chance to assign subjects to treatments.

Given: An objective function

with constraints-

Required: To graph the linear inequalities representing the constraints and determine the objective function's value at each corner.

Explanation: The inequalities can be graphed by considering them as equations and then determining the shaded region by less than or greater than symbol.

The equation for the first inequality is-

This represents a straight line passing through points (6,0) and (0,12).

The shaded region will be below this line as the inequality is-

Similarly, the inequality-

Represents a shaded region above the line x+y=6.

The inequalities-

Represents the positive values of x and y. Hence we need to determine the graph in the first quadrant.

The graph of the inequalities is-

The graph in blue represents the inequality-

While the graph in green represents the inequality-

The corner points of the common shaded area are A(0,6), B(0,12), and C(6,0).

Now the value of the objective function at these points is-

a) At A(0,6)

b) At B(0,12)

c) At C(6,0)

Final Answer: a) The graph is drawn.

b) 36,72,18

Answer: $82.55

To figure out the tip, you need to find 20% of $65

0.2×65=13

You should leave $13 for the waiter if you want to leave him exactly 20%.

To figure the tax, you need to find 7% of $65.

0.07×65=4.55

Next, add them up:

65+13+4.55=82.55

The total bill, including tax and tip, will be $82.55.

Step-by-step explanation:

Answer:

A≈50298

Step-by-step explanation:

The completed table showing the radius, angle at the center, arc length, and area of the sector of the circle are as follows;

\({}\)       Radius             Angle at center            Arc Length           Area

(a)    4 cm      \({}\)         1.25 rad                          5 cm                   22.5 cm²

(b) \({}\)  6 cm                1.5 rad                            9 cm                   22.5 cm²

(c) \({}\)  12 cm               0.8 rad                           9.6 m                  57.6 m²

(d)  \({}\) 10 m                 1.2 rad                            12 m                   60 m²

(e) \({}\)  8 mm               2 rad                               16 mm               64 mm²

(f)  \({}\)  9 mm              (2/3) rad                          6 mm                 27 mm²

A sector of a circle is a part of a circle that is pie shaped, with parts including, two radii of the circle and part of the circumference of the circle.

4(a) The specified dimensions of the sectors of the circles are;

Radius = 4 cm

Angle at the center = 1.25 radians

The arc length is therefore;

The area of the sector is therefore;

(b) Radius = 6 cm

Arc length = 9 cm

The angle at the center, θ, is therefore;

Arc length = 2×π×6 × θ/(2·π) = 9

6 × θ = 9

θ = 9/6 = 1.5

(c) Angle at center = 0.8 rad

Arc length = 9.6 m

Arc length = 2×π× Radius × 0.8 rad/(2·π rad) = 9.6

Radius = 9.6 m/0.8 = 12 m

(d) Angle at the center = 1.2 radians

Area = 60 m²

The area = π × (Radius)² × 1.2/(2·π) = 60 m²

(Radius)² × 0.6 = 60 m²

(Radius)² = 60 m²/(0.6) = 100 m²

The arc length = 2 × π × 10 mm × 1.2/(2·π) = 12 mm

(e) The radius of the circle = 8 mm

The area of the sector = 64 mm²

The angle at the center, θ, can therefore, be found as follows;

Area = π × (8 mm)² × θ/(2·π) = 64 mm²

θ = 2 × 64 mm²/((8 mm)²) rad = 2 rad

(f) Arc length = 6 mm

Area = 27 mm²

The radius and angle at the are found as follows

Let r represent the radius, we get;

Arc length = 2 × π × r × θ/(2·π) = 6

Therefore; θ = 6/r

Area of the sector = π × r² × θ/(2·π) = 27 mm²

Therefore; π × r² × (1 mm²) × (6/(r × 1 mm))/(2·π) = 27 mm²

r × (1 mm) × 3 = 27 mm²

r = 27 mm²/(3 × 1 mm) = 9 mm

Please find the completed table for the sectors of a circle above

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The probability the selected dog is medium and brown by Sarah is 6/49.

Probability = favourable outcome/ total outcome

The table for the given question is attached.

Total dogs owned by Sarah = 7.

Total medium sized dogs = 2.

Total brown coloured dogs = 3

Probability( medium sized ) = 2/7

Probability( brown coloured ) = 3/7

Probability( medium sized and brown coloured ) = (2/7)×(3/7)

Probability( medium sized and brown coloured ) = 6/49

Thus, the probability the selected dog is medium and brown is 6/49.

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25 - (5+9)

= 25 - 14

Hope this will help...

Please mark as brainliest...

Answer:

11

Step-by-step explanation:

Use the correct order of operations, and do what is in the parentheses first.

25 - (5 + 9) = 25 - 14 = 11

Answer:

f = 2 1/4c

Step-by-step explanation:

Number of cups of flour is proportional to the number of cakes

Number of cups of flour = f

Number of cakes = c

Therefore,

f = k * c

Where,

k = constant of proportionality

Number of cups of flour = 22 1/2 cups

Number of cakes = 10 cakes

f = k * c

22 1/2 = k * 10

45/2 = 10k

k = 45/2 ÷ 10

= 45/2 × 1/10

= (45*1) / (2*10)

= 45/20

= 2 5/20

k = 2 1/4

The equation is

f = k * c

f = 2 1/4 * c

f = 2 1/4c

Answer:

(4,-1)

Step-by-step explanation:

Amir's gross monthly income is $67,500 per year divided by 12 months, which equals $5,625. Amir's net pay for the month is approximately $4,291.88, which corresponds to option A.

To calculate his net pay for the month, we need to subtract his monthly deductions, which include social security, state income tax, and federal income tax.
First, we'll calculate each deduction:
- Social Security: 6.2% of $5,625 is $348.75
- State Income Tax: 5% of $5,625 is $281.25
- Federal Income Tax: 12.5% of $5,625 is $703.13
Next, we'll subtract these deductions from his gross monthly income:
$5,625 - ($348.75 + $281.25 + $703.13) = $5,625 - $1,333.13 = $4,291.87

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The hexadecimal number 0x3d is equal to 61 in decimal (base 10).

To convert the hexadecimal number 0x3D to decimal (base 10), we need to understand the positional system of both bases. In hexadecimal, each digit represents a power of 16, starting from the rightmost digit. The digits range from 0 to 9, and then from A to F, where A represents 10 and F represents 15, In hexadecimal (base 16) representation, each digit can have values from 0 to 15. The digits from 0 to 9 represent their respective values, and the letters A to F represent the values 10 to 15.

To convert 0x3d to decimal, we can break down the number as follows:

0x3d = (3 * 16^1) + (13 * 16^0)

Simplifying the expression:

0x3d = (3 * 16) + 13

0x3d = 48 + 13

0x3d = 61

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Answer:

#1

Sorry if wrong!!

Answer:

-24

Step-by-step explanation:

First find f(3), which is the value of the blue line when x =3

f(3) = -2

Then find g(-1) which is the value of the red line when x= -1

g(-1) = 6

-6 f(3) - 6*g(-1)

-6*-2 - 6(6)

12 - 36

-24

Answer:

200 units³

Step-by-step explanation:

The formula for the volume of a rectangular prism is:

V = lwh

where l is the length, w is the width, and h is the height

Substitute with the given values:

V = lwh

V = (10)(4)(5)

Multiply:

V = (10)(4)(5)

V = (40)(5)

V = 200

Therefore, the volume of the rectangular prism is 200 cubic units.

Answer:

The slope of line is -2

Step-by-step explanation:

For smallest value n=127, the decimal representation is possible.

When the first three digits after the decimal point are 0.251,

we consider the smallest value of n....

Assume the number is otherwise in the form of

\(\frac{m}{n} = 0.X251 \ldots,\)

where X is a k-digit string and n is as small as possible.

Then

\(10^k \cdot \frac{m}{n} - X = \frac{10^k m - nX}{n} = 0.251 \ldots\)

. Since  \(10^k m - nX\) is an integer and \(\frac{10^k m - nX}{n}\) is a fraction between 0 and 1, we can rewrite this as \(\frac{10^k m - nX}{n} = \frac{p}{q}\), where \(q \le n\). Then the fraction \($\frac pq = 0.251 \ldots$\)   suffices.

Thus we have\(\frac{m'}{n} = 0.251\ldots\), or

\(\frac{251}{1000} \le \frac{m'}{n} < \frac{252}{1000} \Longleftrightarrow 251n \le 1000m' < 252n \Longleftrightarrow n \le 250(4m'-n) < 2n.\)

As \($4m' > n$\), we understand that the minimum value of \($4m' - n$\) is 1; hence we need \($250 < 2n \Longrightarrow 125 < n$\).

Since \($4m' - n = 1$\), we need \($n + 1$\) to be divisible by four, and this occurs for the first time when n = \(\boxed{ 127 }\)

(note that if\(4m'-n > 1,\) then \($n > 250$\)).

this gives \($m' = 32$\) and the fraction \($\frac {32}{127}\approx 0.25196 \ldots$\)).

Thus, the smallest value for n is 127.

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Your question is incomplete, please complete the question

a)

Given,

3/x+2 = 1/7-x

Now further simplifying,

3(7-x) = x+2

21 - 3x = x + 2

19 = 4x

x = 19/4

Hence for the given expression the value of x is 19/4

b)

Given,

3-x/x-5 - 2x²/x² - 3x 10 = 2/x+2

Factorize the quadratic equation,

x² - 3x -10 = 0

(x+2)(x-5) = 0

3-x/x-5 - 2x²/ (x+2)(x-5) = 2/x+2

Taking LCM,

(3-x)(x-2) - 2x²/(x-5)(x+2) = 2/x+2

Further simplifying,

(3-x)(x-2) - 2x²= 2(x-5)

x² - 3x - 4 = 0

x² -4x +x - 4 = 0

x(x-4) + 1(x-4) = 0

(x+1)(x-4) = 0

x = -1 , 4 .

Hence for the given expression the value of x is -1, 4 .

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The intervals on which function f(x) = sin x -1 increasing or decreasing is (0, π/2) (B).



The given function is f(x) = sin x -1, 0 < x < 2 π.

A sinusoidal function is a function that can be written in the form f(x) = a sin(bx + c) + d or f(x) = a cos(bx + c) + d, where a, b, c, and d are constants.

The graph of the given function is a sine curve shifted downward by 1 unit.

The function is increasing on the interval (0, π/2) because the slope of the curve is positive on this interval.

The function is decreasing on the interval (π/2, 3π/2) because the slope of the curve is negative on this interval.

The function is increasing again on the interval (3π/2, 2π) because the slope of the curve is positive on this interval.

Therefore, the correct answer is option B. (0, π/2).

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Answer:

y = 45x + 15

Step-by-step explanation:

Answer:

$4,900

Step-by-step explanation:

\(\frac{\mbox{number of shares}}{\mbox{annual dividend}} = \frac{5,000}{1.04}\)

This simplifies to 4807.7, which you can round to $4,900.

Answer:

20 dollars per month

Step-by-step explanation:

85 = 25 + x3

60 = x3

20 = x

Answer:

  ₹168 per hour

Step-by-step explanation:

The hourly rate at which Tamara is paid can be found by dividing her ₹1050 pay by the 6:15 hours that she worked.

We know there are 60 minutes in an hour, so the fraction of an hour represented by 15 minutes is ...

  (15 min)/(60 min/h) = (15/60) h = 1/4 h = 0.25 h

Added to the 6 whole hours Tamara worked, her pay is for 6.25 hours.

The pay per hour is found by dividing pay by hours.

  ₹1050/(6.25 h) = ₹168/h

Tamara's hourly rate of pay is ₹168 per hour.

Answer:

x=0, y=-2

Step-by-step explanation:

Let x=3y+6 be equation 1

and 2x-4y=8 be equation 2

sub equation 1 into equation2,

2(3y+6)-4y=8

6y+12-4y=8

2y=-4

y=-2

sub y=-2 into equation 1,

x=3(-2)+6

x=0

sub is an abbreviation for substitute

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identities

cosa = \(\frac{1}{seca}\) , sina = \(\frac{1}{coseca}\) , sin²a + cos²a = 1

Consider the left side

\(\frac{1}{sec^2a}\) + \(\frac{1}{cosec^2a}\)

= cos²a + sin²a

= 1 = right side ⇒ verified