help me with this please !!!!

The equation for traveling x miles in the cab can be written as:

Cost = $0.60 + $0.14 * x. The cab charges $0.88 for a ride of 2 miles. And the cab charges $1.72 for a trip of 8 miles.

a. The equation for traveling x miles in the cab can be written as:

Cost = $0.60 + $0.14 * x

b. To find the number of miles for a cab ride that costs $0.88, we can set up the equation:

$0.88 = $0.60 + $0.14 * x

Subtracting $0.60 from both sides, we get:

$0.88 - $0.60 = $0.14 * x

$0.28 = $0.14 * x

Dividing both sides by $0.14, we find:

x = $0.28 / $0.14

x = 2 miles

Therefore, the cab charges $0.88 for a ride of 2 miles.

c. To calculate the cost of a trip of 8 miles, we can substitute x = 8 into the equation:

Cost = $0.60 + $0.14 * 8

Cost = $0.60 + $1.12

Cost = $1.72

Therefore, the cab charges $1.72 for a trip of 8 miles.

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Answer: -4c+12

all real numbers

Step-by-step explanation:

6) 28-(3c+4) =2 (c+6)+c

When there is a - in front of an expression in parentheses , change the sign of each term of the expression.

28-3c-4=2(c+6)+c

Distribute 2 through the parentheses

28-3c-4=2c+12+c

Now we do the same thing only different way

2(c+6)

Multiply each term in the parentheses by 2

2c+2×6

Multiply the numbers

2c+12

_____________

28-3c-4=2c+12+c

subtract the numbers

24-3c=2c+12+c

Collect like terms

24-3c=3c+12

It's the same thing only different way ok

2c+c

If a term doesn't have a coefficient , it is considered that the coefficient is 1.

2c+1c

Collect like terms by adding their coefficients

(2+1)c

Add the numbers

3c

________

24-3c=3c+12

Move variable to the left hand side and change its sign

24-3c-3c=12

Move constant to the right  by adding its opposite to both sides

-3c-3c+24-24=12-24

eliminate the opposites

-3c-3c=12-24

Collect like terms

-6c=12-24

Calculate the difference

-6c=-12

so the same thing only different way ok

12-24

Keep the sign of the number with the larger absolute value and subtract the smaller absolute value from the larger.

-(24-12)

Subtract the numbers

-12

__________

-6c=-12

divide both sides of the equation by -6

-6c÷(-6)=-12÷(-6)

Any expression divided by itself equals 1

c=-12÷(-6)

Dividing two negatives equals a positive

(-)÷(-)=(+)

c=12÷6

Calculate the quotient

c=2

Answer : 2

7) no solution

Answer:

c. non-linear and increasing

Step-by-step explanation:

expected value of defected lamps =1.5

Probability of 5 defected lamps= 0.166

probability less than five defected lamps=0.995

Given, the probability that a lamp is defective is 0.05. A random sample of 30 lamps is tested.

(a) The number of defective lamps expected in the sample is found by calculating the expected value of the number of defective lamps in a sample. The expected value of the number of defective lamps in a sample is E(X) = np = 30 × 0.05 = 1.5 defective lamps.    

(b) The probability that there are exactly five defective lamps in the sample is found using the probability mass function (PMF) of the binomial distribution. The PMF is P(X = k) = C(n, k) × p^k × (1 - p)^(n - k)

where C(n, k) is the number of ways to choose k items from a set of n items, p is the probability of success, and n is the number of trials.

P(X = 5) = C(30, 5) × 0.05^5 × (1 - 0.05)^(30 - 5) = 0.166.

(c) The probability that there are fewer than five defective lamps in the sample is found using the cumulative distribution function (CDF) of the binomial distribution. The CDF is

P(X ≤ k) = Σ P(X = i) where Σ is the sum from i = 0 to i = k.

P(X ≤ 4) = Σ P(X = i) = 0.995.

The expected value of the number of defective lamps in a sample is E(X) = np = 30 × 0.05 = 1.5 defective lamps.

The probability that there are exactly five defective lamps in the sample is P(X = 5) = C(30, 5) × 0.05^5 × (1 - 0.05)^(30 - 5) = 0.166.

The probability that there are fewer than five defective lamps in the sample is P(X ≤ 4) = 0.995.

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Answer:

\(\frac{7}{3}-\frac{2}{3}+\sqrt{3}-3\sqrt{3}=\frac{5}{3}-2\sqrt{3}\)    

Step-by-step explanation:

Given the expression

\(\frac{7}{3}\:-\:\frac{2}{3}\:+\:v^3\:-\:3v^3\)

solving the expression

\(\frac{7}{3}\:-\:\frac{2}{3}\:+\:\sqrt{3}-3\sqrt{3}\)

combine the fractions i.e \(\frac{7}{3}-\frac{2}{3}=\frac{5}{3}\)

\(\frac{7}{3}\:-\:\frac{2}{3}\:+\:\sqrt{3}-3\sqrt{3}=\frac{5}{3}+\sqrt{3}-3\sqrt{3}\)

add similar elements  i.e \(\sqrt{3}-3\sqrt{3}=-2\sqrt{3}\)

                                 \(=\frac{5}{3}-2\sqrt{3}\)      

Thus,

\(\frac{7}{3}-\frac{2}{3}+\sqrt{3}-3\sqrt{3}=\frac{5}{3}-2\sqrt{3}\)                        

Using division operation, the amount Micheal charged per pumpkin is $8.

Division operation is one of the basic mathematical operations.

The division operation involves the dividend being divided by the divisor to result in a quotient.

In this situation, the total sales revenue is $600 (the dividend).  The number of pumpkins sold was 75 (the divisor).

When $600 is divided by 75, the quotient is $8, giving the unit price of the pumpkins.

The total number of farm pumpkins sold on October 24 = 75

The revenue realized from the sales = $600

The unit price per pumpkin = $8 ($600/75)

Thus, based on this division operation, the unit price per pumpkin is $8.

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Answer:

X is a variable, the value depends on the equation

Given the graph of a line

As shown : the line passes with points (0 , 3 ) and ( 4 , -1 )

The general slope intercept form is : y = m * x + b

Where m is the slope and b is y- intercept

The point of y- intercept is = ( 0 , 3 )

Substitute with m and b at the general form

So, the equation of the line will be :

So ,the answer is the first option: y = -1x + 3

Step-by-step explanation:

Let x = the number of years since the first year and let y = the total number of plants.

Roses: y = 5 + 2x

Tulips: y = 20 – 3x

You can use elimination to solve.

y = 5 + 2x

(-)y = 20 – 3x

0 = -15 + 5x

15 = 5x

3 = x

This means that 3 years after the first year, the number of rose bushes equals the number of tulip plants.

The graphs appear to

intersect at (3, 11) which verifies that x=3

The number of rose bushes will equal the number of tulip plants after 3 years

The given parameters are:

Rose bushes

Tulip bushes

So, the number of rose bushes and tulip bushes each year is:

y = 5 + 2x

y = 20 - 3x

From the graph of both equations, we have:

(x,y) = (3,11)

Hence, the number of rose bushes will equal the number of tulip plants after 3 years

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Answer:

B

Step-by-step explanation:

Answer:

D -2

Step-by-step explanation:

any triangle inscribed into a half-circle is a right-angled triangle.

that means the triangle angle at B is 90°.

so, BC and AB are always perpendicular to each other (90° crossing angle).

remember, when the original slope is y/x, then the perpendicular slope is -x/y.

so, in our case the original slope of BC is 1/2.

therefore, the perpendicular slope (the slope of AB) is then

-2/1 = -2

The values of the trigonometric identities are;

1. tan X = 10/17

2.  tan X = 29/25

3. sin A = 24/25

4. tan C = 15/17

5. sin A = 8/17

6. cos A = 9/41

7. cos Z = 3/4

Note that fractions are the part of a whole number.

Also,

sin θ = opposite/hypotenuse

cosθ = adjacent /hypotenuse

tan θ = opposite/adjacent

1. tan X = opposite/ adjacent

tan X = 30/21 = 10/7

2. tan X = 29/25

3. sin A = opposite/hypotenuse

sin A = 24/25

4. tan C = opposite/adjacent

tan C = 30/34

tan C = 15/17

5. sin A = 16/34

sin A = 8/17

6. cos A = adjacent/hypotenuse

cos A = 9/41

7. sin A = 21/35

8. cos Z = 21/28

cos Z = 3/4

Hence, the fractions takes the function of the trigonometric identities.

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Answer:

The last one.Because the experimental probability is 11 ÷ 50, which is 22%, and the theoretical probability is 1 ÷ 8, which is 12.5%

Answer:

x= - 2

Step-by-step explanation:

(2x+8)-4(2x-2)=28

2x+8-8x+8=28

-6x+16=28

-6x=12

x= -2

Step-by-step explanation:

\( \sqrt 2, \: \sqrt 2. 6 \: \& \: \sqrt 2 + 6\) are irrational and 6 is the only rational number.

Higher order differential equation  \(y^{III} -3y^{II} -4y^{I} =0\) has the general solution of \(y=C_{1} e^{0} +C_{2} e^{-x} +C_{3} e^{4x}\).

Given higher order differential equation \(y^{III} -3y^{II} -4y^{I} =0\).

We are required to find the general solution of the given higher order differential equation.

A differential equation is basically an equation which contains one or more terms and the derivatives of one variable with respect to the other variable dy/dx = f(x) Here “x” is basically an independent variable and “y” is  dependent variable.

Higher order differential equation \(y^{III} -3y^{II} -4y^{I} =0\)

Write the derivatives of y in powers of m.

\(m^{2} -3m^{2} -4m=0\)

m[\(m^{2} -4m-4\)]=0

m[\(m^{2} -4m+m-4\)]=0

m[m(m-4)+1(m-4)]=0

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

m=0,m=4,m=-1

Using the values of m in y=\(y=C_{1} e^{m_{1}x } +C_{2} e^{m_{2}x } +C_{3} e^{m_{3} x}\).

y=\(y=C_{1} e^{0x } +C_{2} e^{-1x } +C_{3} e^{4 x}\)

\(y=C_{1} e^{0} +C_{2} e^{-x} +C_{3} e^{4x}\)

Hence the general solution of the higher order differential equation \(y^{III} -3y^{II} -4y^{I} =0\) is \(y=C_{1} e^{0} +C_{2} e^{-x} +C_{3} e^{4x}\).

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Answer:

1.8 seconds

Step-by-step explanation:

Answer:

Side EH is congruent to side FG. Reason: given by tic marks

Angle FEG is congruent to Angle HGE. Reason: given

Side EG is congruent to side GE. Reason: identity

Triangle EFG is congruent to triangle GHE. Reason: Side Angle Side.

Step-by-step explanation:

This is the simplest proof. There may be another way using the given FG is parallel to HE.

Answer: your answer is 536.2 hope it helps

Step-by-step explanation:

Answer:

c)

Step-by-step explanation:

\(\frac{1}{2}\)(12*g) - h = \(\frac{1}{2}\)(12 * \(\frac{1}{4}\)) - \(\frac{1}{2}\) = 1/2 * 3 - 1/2 = 3/2 - 1/2 = 1

Since the rule of distance is

Where v is the speed and t is the time

Since the distance from home to the book store is equal to the distance from the book store to the home, then

Let the distance = d

Since the speed in the going way is 15 mph, then

Since the speed in the back way is 25 mph, then

Since the time of the entire trip is 4 hours, then

Substitute the values of t1 and t2

Multiply both sides by 75 (L.C.M of 15 and 25)

Divide both sides by 8

Substitute d by 37.5 in t1 to find it

It took him 2.5 hours to get to the book store

Answer: TRUE

SUIIIIIIIII

The statement that "subset h of a vector space v is a subspace of v if the zero vector is in h" is true.

A subspace is a vector space that is also encompassed within another vector space.

So, while each subspace is a vector space in its own right, it is also defined with respect to another (bigger) vector space.

Three components must be demonstrated to prove that a subset is a subspace:

Additionally, demonstrate that it is closed.

Show that it is closed when scalar multiplication is used.

Show that vector 0 is a part of the subset.

As it is stated in the question;

h represents a subset of the vector space v.

The zero vector is contained in h.

This implies that h must be in the v subspace.

Hence, the statement that "subset h of a vector space v is a subspace of v if the zero vector is in h" is true.

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Answer:  THE 100G PACKET

Step-by-step explanation:

1) FIND OUT THE COST OF COFFEE PER G

So for the 100g coffee it costs ( 8.10 / 100) = $0.081

                                          AND

For the 25g coffee it costs (2.05 / 25) = $0.082

The coffee that is 100g is mor cost-efficient so that is your answer

Answer: 12/5

Step-by-step explanation:

This is a credit balance problem. Listed the previous balance, finance charge, new purchases, payments, and credits, the new balance can be calculated by summing up the previous balance, finance charge, and new purchases then subtracted to the sum of payments and credits. Applying this calculation, the new balance for the credit card is

Answer: B. $111.00

Answer:

200

Step-by-step explanation:

10 × 20 = 200

have a good day

Answer:

x = 11

Step-by-step explanation:

the area (A) of a trapezium is calculated as

A = \(\frac{1}{2}\) h (b₁ + b₂ )

where h is the perpendicular height between the bases b₁ and b₂

here h = 4 , b₁ = x , b₂ = 6 and A = 34 , then

\(\frac{1}{2}\) × 4 × (x + 6) = 34

2(x + 6) = 34 ( divide both sides by 2 )

x + 6 = 17 ( subtract 6 from both sides )

x = 11

Answer: 4 < n < 12

Step-by-step explanation:

8 - 4 < n < 8 + 4

4 < n < 12