A coffee shop currently sells 400 lattes a day at $2.75 each. They recently tried raising the by price by $0.25 a latte, and found that they sold 40 less lattes a day.

Answer:

3

Step-by-step explanation:

Answer:  P(10,15,0.7)=3003*0.7^10*0.3^5=approx  0.2061

Step-by-step explanation:

The required probability P(10,15,0.7)= C15 10 *p^10*q^(15-10) where

C15 10=  15 !/10!/5!= 11*12*13*14*15/(2*3*4*5)=11*12*13*14/(2*4)=11*3*13*7=

=77*39=3003

p=0.7    q=1-p =1-0.7= 0.3 (probability of not having vcrs)

So P(10,15,0.7)=3003*0.7^10*0.3^5=approx  0.2061

Answer:

The value is \(t_{\frac{\alpha }{2} , 21 } =  2.518\)

Step-by-step explanation:

From the question we are told that

   The  sample size is  n =  22

Generally the degree of freedom is mathematically represented as

       \(df = n- 1\)

=>    \(df = 22- 1\)

=>    \(df = 21\)

From the question we are told the confidence level is  98% , hence the level of significance is    

      \(\alpha = (100 - 98 ) \%\)

=>   \(\alpha = 0.02\)

Generally from the t distribution table the critical value  of  \(\frac{\alpha }{2}\)  at a degree of freedom of \(df = 21\)  is  

   \(t_{\frac{\alpha }{2} , 21 } =  2.518\)

Answer:  C) $590

Step-by-step explanation:

Gene paid $1800 - $1800(0.2) = $1440 for Model Y

The store paid $850 for Model Y.

The profit was $1440 - $850 = $590

Answer:

Kindly check explanation

Step-by-step explanation:

Given that :

Fixed cost to produce gizmo = $1000

Cost to produce each gizmo = $5

Fixed cost to produce gadget = $750

Cost to produce each gizmo = $3

A.) Expression to make x gizmo:

Fixed cost + 5x

$1000 + 5x

B.)Expression for cost of making y gadget:

Fixed cost + 3y

$750 + 3y

C.) Cost of making x gizmo and y gadget :

($1000 + 5x) + ($750 + 3y)

D.) $1750 + 5x + 3y

The point charges placed 0.500 m apart are 10.4 nC and 43.9 nC. Then, the electric field halfway between these charges will be -4824 N/C.

The physical field that surrounds particles with an electrical charge is called an electric field. All other charged particles in the field are affected by it, either being attracted to it or being repelled by it.

The electric field because of a point charge q is written as \(E=\frac{kq}{r^2}\)

Positive point charges cause the electric field to point away from the point, whereas negative point charges cause the electric field to point in the direction of the point. Then, the electric field of the midpoint p in the diagram is written as,

\(\begin{aligned}E_p&=\mathrm{\frac{k(10.4\;nC)}{(0.25\;m)^2}-\frac{k(43.9\;nC)}{(0.25\;m)^2}}\\&=\mathrm{\frac{k(10.4-43.9)\times10^{-9}\;C}{(0.25\;m)^2}}\\&=-\mathrm{\frac{9\times 10^9\;Nm^2/C^2\times 33.5\times10^{-9}\;C}{(0.25\;m)^2}}\\&=-\mathrm{4824\;N/C}\end{aligned}\)

The required answer is -4824 N/C.

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Answer:

Part A 1 solution

Part B 1,4

Answer:

Part A : It has one solution because the lines intersect at one point

Part B : The solution is the points where the lines intersect

Which is (3,4)

An equation for the function graphed above include the following: g(x) = -1/4|x + 1| - 2.

By critically observing the graph of this absolute value function, we can reasonably infer and logically deduce that the parent absolute value function f(x) = |x| was vertically compressed by a factor of 1/4, reflected over the x-axis, followed by a vertical translation 2 units down, and then a horizontal translation to the left by 1 unit, in order to produce the transformed absolute value function as follows;

f(x) = |x|

y = A|x + B| + C

g(x) = -1/4|x + 1| - 2

In conclusion, the value of the variables A, B, and C are -1/4, 1, and 2 respectively.

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Answer:

R(7a, 0 )

Step-by-step explanation:

R is on the vertical line RQ so will have the same x- coordinate as Q

R is on the horizontal line OR so will have the same y- coordinate as O

Thus coordinates of R = (7a, 0 )

Answer:

Step-by-step explanation:

The length of ZY is 3638.

There are three commonly used trigonometric identities.

Sin x = 1/ cosec x

Cos x = 1/ sec x

Tan x = 1/ cot x or sin x / cos x

Cot x = cos x / sin x

We have,

From the figure,

We can find,

Tan 65 = ZY/WY

Tan 65 x WY = ZY _____(1)

Tan 58 = ZY/XY

Tan 58 x XY = ZY _____(2)

Now,

XW = 850

XY = XW + WY

XY = 850 + WY _____(3)

From (1), (2), and (3),

Tan 65 x WY = Tan 58 x XY

Tan 65 x WY = Tan 58 x (850 + WY)

2.14 x WY = 1.60 x (850 + WY)

2.14WY = 1360 + 1.60WY

2.4 WY - 1.60WY = 1360

0.8WY = 1360

WY = 1360/0.8

WY = 1700

Now,

Tan 65 = ZY/WY

2.14 = ZY/1700

ZY = 2.14 x 1700

ZY = 3638

Thus,

The length of ZY is 3638.

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Answer:

Your answer will be 2

Step-by-step explanation:

Hope this help you alot

Answer:

A. \(n=100\)
B. \(k=0\)

Step-by-step explanation:

A. The equation "110% n = 11" can be solved as follows:

110% n = 11

To solve for n, we need to get rid of the percentage sign (%). We can do this by dividing both sides of the equation by 110%, or 0.110 (since 110% is equivalent to 1.1 in decimal form).

(110% n) / 110% = 11 / 110%

n = 11 / 0.110

n = 100

So, the solution for n in the equation "110% n = 11" is n = 100.

B. The given equation is:

(328 x 128) x k = 328 x (82 x 128) x k

To solve for k, we can simplify the equation using the properties of multiplication.

Step 1: Perform the multiplications inside the parentheses:

41984 x k = 328 x 10576 x k

Step 2: Rearrange the equation by applying the associative property of multiplication:

41984 x k = 328 x (10576 x k)

Step 3: Divide both sides of the equation by 328:

(41984 x k) / 328 = 10576 x k

Step 4: Cancel out the common factor of k on the left-hand side:

(41984 / 328) x k = 10576 x k

Step 5: Simplify the left-hand side:

128 x k = 10576 x k

Step 6: Subtract 10576 x k from both sides of the equation to isolate k:

128 x k - 10576 x k = 0

Step 7: Factor out k on the left-hand side:

k x (128 - 10576) = 0

Step 8: Simplify further:

k x (-10448) = 0

Step 9: Divide both sides of the equation by (-10448):

k = 0

So, the solution for k in the equation "(328 x 128) x k = 328 x (82 x 128) x k" is k = 0.

The answer is t ≤ 11.

Answer:

3 beats per second

Step-by-step explanation:

45÷15

Cat’s heart will beat 3 times per second.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a cat’s heart beats approximately 45 times in 15 seconds. The number of times a Cat's heartbeat in a second will be calculated as:-

15 seconds = 45 beats

1 second  = 45 / 15

1 second = 3 beats

Therefore, Cat’s heart will beat 3 times per second.

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The value of y which will make the lines j, k and l parallel as required to be determined in the given task content is; y = 8.

It follows from the given task content that the value of y which holds true for the given condition be determined.

By observation, the ratio which must hold is;

(2y - 10) / 9 = 4 / (10 - 4).

6 (2y - 10) = 9 × 4

12y - 60 = 36

12y = 96

y = 8.

Ultimately, the required value of x in the task content is; y = 8.

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The rate at which the distance between the airplanes is changing is  668.2 mi/h.

In the given question,

Speed of Airplane A:

dA/dt = 451 mi/h

and the Speed of Airplane B:

dB/dt = 494 mi/h

Aircraft A and B will form a right triangle because Aircraft A is flying east and Aircraft B is flying north, and we can use Pythagoras' theorem to calculate their distance from one another.

Let P be the distance.

P² = A² + B²

Differentiating the above equation with respect to t,

2P(dP/dt) = 2A(dA/dt) + 2B(dB/dt)

Dividing each side of the equation by 2,

P( dP/dt ) = A( dA/dt ) + B( dB/dt )                  ..........(1)

Where dP/dt is the rate of change in distance between the two aircraft.

Now,

P² = A² + B²

P = √(A² + B²)

Substituting, A = 3 miles and B = 3miles;

P = √(3² + 3²)

P = √( 9+ 9)

P = √18

P = 3√2 miles

Substituting the value in the equation (i)

3√2 (dP/dt) = (3× 451) + (3× 494)

3√2 (dP/dt) = 2835

4.2426 × dP/dt = 2835

dP/dt = 2835/4.2426

dP/dt = 668.2 mi/h

Therefore, the rate at which the distance between the airplanes is changing is  668.2 mi/h

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The straight-line distance between Akira's house and Cooper's house is 6.13 kilometers (rounded to the nearest tenth)

Given that,To get from home to his friend Akira's house, Jaden would have to walk 2.8 kilometers due east.The straight-line distance between Akira's house and Cooper's house is given by the distance between two points in a coordinate plane. Let the home be the origin (0, 0) of the coordinate plane and Akira's house be represented by the point (2.8, 4.7). Similarly, let Cooper's house be represented by the point (8.3, 7.4).The distance formula between the two points (2.8, 4.7) and (8.3, 7.4) is given by:distance = √[(8.3 - 2.8)² + (7.4 - 4.7)²]= √[5.5² + 2.7²]= √(30.25 + 7.29)= √37.54= 6.13 km (rounded to the nearest tenth)

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Answer:

A < C < B = 0.2 < 0.222 < 0.25

Step-by-step explanation:

the best way to do these least to greatest questions is to get them all in the same units so you can compare.

A = \(\sqrt{\frac{1}{25} }\)which is \(\sqrt{0.04}\) = 0.2

B= 1/4 = 0.25

c=0.22222222.....

now that they are in the same units we see A is the smallest, then C, and then B

The interest for Part 1 is approximately $385.10.

The interest for Part 2 is approximately $709.31.

The formula is as follows:

Interest is calculated as follows: Principal * Rate * Time

Where

Part 1:

$132,000 is the principal.

(Decimal) Rate = 12% = 0.12

Time = 8 days/365 days.

How much interest is there in Part 1?

Interest is calculated as follows : $132,000 * 0.12 * (8/365) = $385.10

Therefore, the interest for Part 1 is approximately $385.10.

Part 2:

$106,750 as the principal

(Decimal) Rate = 12% = 0.12

Time = 20 days / 365 days.

How much interest will there be in Part 2

Interest is calculated as follows : $106,750 * 0.12 * (20/365) = $709.31

Therefore, the interest for Part 2 is approximately $709.31.

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Answer:

48.43552415324934

Step-by-step explanation:

61.73²-38.27² = 2346

\(\sqrt{2346}\) = 48.43552415324934

We want to divide 3x^3 + 2x - 5 by x - 1

THe polynomial can be rewritten as

3x^3 + 0x^2 + 2x - 5

The synthetic division steps are shown below

The first row would contain the coefficients of the polynomial. Thus, we have

3, 0, 2 - 5

We divided by x = 1

The first step was to bring the first coefficient which is 3 downwards. Then we multiplied by 1 to get 3. We added 0 to 3 and got 3 which was brought 3 downwards. The process continued until we got zero. This means that the remainder is zero. The quotient is formed from the numbers at the bottom and they are the coefficients of the quotient. Thus,

Quotient = 3x^2 + 3x + 5

Remainder = 0

The overlapping triangles which are congruent by ASA are ΔEBC and ΔADC which is therefore denoted as option C.

This is a scenario in which all three corresponding sides are equal and all the three corresponding angles are equal in measure.

Taking ΔEBC and ΔADC, we have the following below:

∠B=∠D (90°)

CB= CD (Given)

∠BCE=∠ACD( Common)

Therefore, by ASA we can deduce that,

Δ EBC ≅ΔADC.

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Answer:

A - The exponent of 3 is 7/9.

Step-by-step explanation:

The expression 3^(7/9) can be read as "3 to the power of 7/9".
This means that the number 3 is being multiplied by itself 7/9 times.

For example
3^(2/3) can be written as cube root of 3, cube root of 3 is equal to 3^(1/3) .

When the exponent of an expression is a fraction, it can be written in radical form, with the denominator of the fraction as the index of the radical. However, it's not true in this case as the index is not 9 but 7.

So, the correct answer is A - The exponent of 3 is 7/9.

Answer:

Step-by-step explanation:

it think it 23 becasue u add

1 divide it by 2

Answer:

69.53 or 70(depending on rounding)

Step-by-step explanation:

The squares area is (9*2)^2 which is 324.

The circles area is 9^2 pi or 254.47 approx.

Subtract and you get 69.53 or 70

=====================================================

Explanation:

Let's say the room has walls and ceiling of 350 sq ft in total area.

Sally can paint this area in 5 hours when working alone, so her unit rate is 350/5 = 70 sq ft per hour.

Steve needs 7 hours to do the same job when working alone, so his unit rate is 350/7 = 50 sq ft per hour.

Assuming the two people can work together without hindering each other (i.e. without getting in each other's way), then the two unit rates combine to 70+50 = 120 sq ft per hour.

Divide the total area over this combined unit rate

350/120 = 2.91667 approximately

This rounds to 2.9

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

Alternatively, you can solve the equation

\(\frac{1}{5} + \frac{1}{7} = \frac{1}{x}\)

And you should get roughly x = 2.9