At the beginning of the year, Juan had $50 in savings and saved an additional $20 each week thereafter. Fawzia started the year with $90 and saved $10 every week. Let
J represent the amount of money Juan has saved t weeks after the beginning of the year and let F represent the amount of money Fawzia has saved t weeks after the beginning of the year. Graph each function and determine the interval of time when Juan has more in savings than Fawzia.

Step-by-step explanation:

1. When a figure is dilated, a segment (side) of the pre-image that does not pass through the center of dilation will be parallel to its image. Concept 3: The dilation of a line segment is longer or shorter in the ratio given by the scale factor

2. The dilation of a line segment is longer or shorter in the ratio given by the scale factor. If the scale factor is greater than 1 (k > 1), the image will be larger than the pre-image, making the segments (sides) of the image longer than the corresponding sides of its pre-image (an enlargement).

The domain of the function \(f(x) = \sqrt{\frac{1}{3}x + 2\) is (d) x  ≥ -6

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

\(f(x) = \sqrt{\frac{1}{3}x + 2\)

Set the radicand greater than or equal to 0

So, we have

1/3x + 2 ≥ 0

Next, we have

1/3x  ≥ -2

So, we have

x  ≥ -6

Hence, the domain of the function is (d) x  ≥ -6

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72/6=12

that means every tutor would have 12 students. if the academy has 120 students then we divide 120 by 12 to get 10. That means the academy needs 10 tutors.

Answer:

6) -30

7) -5

Step-by-step explanation:

6)

x = 5 y = 3 z = -2

xyz = 5 x 3 x -2 = 15 x -2 = -30

7)

x = 5 y = 3 z = -2

xyz/ 6 = -30/6 = -5

Answer: 39*

Step-by-step explanation:

102+39= 141

180-141=39

Answer:

x = 39°

Step-by-step explanation:

We know that,

→ Sum of sides of triangle = 180°

Forming the equation,

→ 39° + 102° + x = 180°

Now the value of x will be,

→ 39° + 102° + x = 180°

→ 141° + x = 180°

→ x = 180° - 141°

→ [ x = 39° ]

Hence, the value of x is 39°.

There are 73 females currently involved in the competition.

The four basic arithmetic operations in Maths, for all real numbers, are: Addition (Finding the Sum; '+') Subtraction (Finding the difference; '-') Multiplication (Finding the product; '×') Division (Finding the quotient; '÷')

Given that, there is a table of male and female involved and not involved in a competition,

Female column total = 103

103-57 = 46

Female row total = 119

119-46 = 73

Hence, There are 73 females currently involved in the competition.

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Answer:

\(\frac{7}{3}\)  or  2 \(\frac{1}{3}\)

Step-by-step explanation:

entered it into my calculator

Answer:

\(8x^2y-18y^3\)

\(=8x^2y-18yy^2\)

\(=4\cdot \:2x^2y+9\cdot \:2yy^2\)

\(=2y\left(4x^2-9y^2\right)\)

\(=2y\left(2x+3y\right)\left(2x-3y\right)\)

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

Hope it helps...

Have a great day!!

Answer:

See explanation

Step-by-step explanation:

Given

\(n=5\) --- disks

\(p = \frac{1}{3}\) --- success probability

Required

The question is incomplete, as the required probability is not stated.

However, the question follows binomial distribution and the probability is calculated using:

\(P(x) = ^nC_x * p^x * (1 - p)^{n-x}\)

Assume the question requires that we calculate the probability that he's able to drop 2 disks, the probability will be:

\(P(x = 2) = ^5C_2 * (\frac{1}{3})^2 * (1 - \frac{1}{3})^{5-2}\)

\(P(x = 2) = ^5C_2 * (\frac{1}{3})^2 * (\frac{2}{3})^{3}\)

\(P(x = 2) = 10 * \frac{1}{9}* \frac{8}{27}\)

\(P(x = 2) = \frac{80}{243}\)

Apply the formula to the complete question

Answer:

y=2x-4

Step-by-step explanation:

The hash of the given message is 135.

In computing, a message digest is a fixed-sized string of bytes that represents the original data's cryptographic hash. This hash is used to authenticate a message, guaranteeing the integrity of the data in the message.

Here, it is given the message m = 23  

The formula to calculate hash is him) - (m*7;2 MOD 7793.

So, let's calculate the hash : him) - (m*7;2 MOD 7793(him) - (23*7;2 MOD 7793

⇒ (8*23) - (49 MOD 7793)

⇒ 184 - 49= 135.

So, the hash of the given message is 135.

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Answer: greaterright

Step-by-step explanation:

Answer: if someone can figure that out i will give you a cookie cuz that stuff looks a lil hard.

Step-by-step explanation:

Answer: 17.75 deliveries made per hour

Step-by-step explanation:

71/4 = how many deliveries made per hour.

The Venn Diagram for showing odd numbers and prime numbers would be :

Odd numbers :

Prime number :

Both prime and odd:

4 is not to be included in the Venn Diagram.

Prime numbers are positive integers that have exactly two distinct divisors, which are 1 and the number itself. In other words, a prime number is a number greater than 1 that is divisible only by 1 and itself.

1 is an odd number but not a prime number. 2 is a prime number but not an odd number. 3 and 5 are both odd and prime numbers.

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Answer:

(1,-2)

Step-by-step explanation:

You minus 2 from the x, and add 2 units to the y

Answer:

A = 51°   b = 15.3858...   c = 24.448

Step-by-step explanation:

Given: B= 39°

a = 19

and that it's a right triangle

so that means the other 3rd angle is

A+39+90=180

A= 51°

use SOH CAH TOA to remember how sin cos and tan fit on the triangle

Sin(x)=Opp/Hyp    Cos(x)=Adj/Hyp  Tan(x)=Opp/Adj

Let's use  Tan to find b

Tan(b) = Opp / Adj

Tan(39) = b / 19

19*Tan(39) = b

15.38589... = b

use Pythagoras to find c

c = \(\sqrt{a^{2} +b^{2} }\)

c = \(\sqrt{19^{2} +15.3858^{2} }\)

c = 24.448....

The measure of angle a is:

a = (140° - 96°) / 2 = 44° / 2 = 22°

Therefore, the answer is 22.

1

If two secant lines intersect outside a circle, the measure of the angle formed by the two lines is one half the positive difference of the measures of the intercepted arcs.

In the given diagram, we can see that the intercepted arcs are 96° and 140°. Therefore, the measure of angle a is:

a = (140° - 96°) / 2 = 44° / 2 = 22°

Therefore, the answer is 22.

Answer: 22

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Answer:

yes I can help

Step-by-step explanation:

which one please

Answer:

the answer is 42 can i have brainliest please:)

Step-by-step explanation:

3x7x2=42

Answer:

42

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

an arithmetic sequence is a sequence that is increasing or decreasing by a constant number (addition)

Total number of people = 364

Number of people in 1 van = 12

Number of vans required = ?

Number of vans required = 364 / 12

= 30.33

But there's a remainder, so for the remaining few people to go you'll need an extra van. So, you need 31 vans.

=》Answer = option C. 31

______

RainbowSalt2222 ☔

Answer: The slope my friend is 7.

The average cost of all seats in the theater is $10.71

Given:

cost per seat x    number of available seats f        x × f

$5                                         22                                 110

$10                                        14                                  140

$15                                        10                                  150

$20                                       10                                  200

.........................................................................................................

Sum                                      56                                  600

..........................................................................................................

average cost of all seats = (sum of x × f) /sum of number of available seats

average cost of all seats = 600/ 56 = $10.71

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Answer: -5/3

Step-by-step explanation:

Answer: m = -4/3

Step-by-step explanation:

If you're given two different coordinates, and you want to find the slope, the general rule is that you subtract the first coordinates from the first. The formula for these kinds of problems is \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\) .

12. The Laplace transform of f(t) = te^at is F(s) = 1 / (s-a)^2.

13. The Laplace transform of f(t) = t sin(at) is F(s) = a / (s^2 + a^2) + 2s / (s^2 + a^2)^2.

12.

To find the Laplace transform of f(t) = te^at using integration by parts, we can let u = t and dv/dt = e^at dt. Then, we can write:

f(t) = te^at

=> F(s) = L{f(t)} = L{te^at}

=> F(s) = ∫[0,∞] te^(-st) e^at dt

=> F(s) = ∫[0,∞] t e^((a-s)t) dt

Now, we can use integration by parts with u = t and dv/dt = e^((a-s)t) dt:

F(s) = [-t e^((a-s)t) / (a-s)] [0,∞] + ∫[0,∞] e^((a-s)t) / (a-s) dt

F(s) = [-t e^((a-s)t) / (a-s)] [0,∞] + [-e^((a-s)t) / (a-s)^2] [0,∞]

F(s) = [1 / (s-a)^2]

Therefore, the Laplace transform of f(t) = te^at is F(s) = 1 / (s-a)^2.

13.

To find the Laplace transform of f(t) = t sin(at) using integration by parts, we can let u = t and dv/dt = sin(at) dt. Then, we can write:

f(t) = t sin(at)

=> F(s) = L{f(t)} = L{t sin(at)}

=> F(s) = ∫[0,∞] t e^(-st) sin(at) dt

Now, we can use integration by parts with u = t and dv/dt = sin(at) dt:

F(s) = [-t e^(-st) cos(at) / s] [0,∞] + ∫[0,∞] e^(-st) cos(at) / s dt

Next, we can use integration by parts again with u = cos(at) and dv/dt = e^(-st) dt:

F(s) = [-t e^(-st) cos(at) / s] [0,∞] + [e^(-st) sin(at) / s^2] [0,∞] + 1/s^2 ∫[0,∞] e^(-st) sin(at) dt

Substituting the original expression for f(t) into the integral and solving for the remaining integral yields:

F(s) = [-t e^(-st) cos(at) / s] [0,∞] + [e^(-st) sin(at) / s^2] [0,∞] + 1/s^2 [s / (s^2 + a^2)]

F(s) = [a / (s^2 + a^2)] + [2s / (s^2 + a^2)^2]

Therefore, the Laplace transform of f(t) = t sin(at) is F(s) = a / (s^2 + a^2) + 2s / (s^2 + a^2)^2.

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Answer:

C

Step-by-step explanation:

If you factorise 6x-24 you will get 6(x-4) as 6 times x equals 6x and 6 times -4 equals -24.