Which inequality is represented by the accompanying graph?
Thank you!!!

Equation that represents the total number of minutes y Emily studied for the math exam is y = 40 +x.

We can represent the total number of minutes Emily studied for the math exam using the equation,

y = 40 + x

Here, 'y' represents the total number of minutes Emily studied for the math exam, '40' represents the number of minutes she studied in the morning, and 'x' represents the number of minutes she studied later that evening.

By adding the number of minutes studied in the morning to the number of minutes studied later that evening, we can calculate the total number of minutes Emily studied for the math exam.

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To determine the Laplace transform of the function f(t) = e³ᵗ, we can use the definition of the Laplace transform and evaluate the integral F(s) = ∫₀ᶺ e⁻ˢᵗ f(t) dt.

Applying the given function f(t) = e³ᵗ, we substitute it into the integral:

F(s) = ∫₀ᶺ e⁻ˢᵗ e³ᵗ dt.

Simplifying the exponential terms, we have:

F(s) = ∫₀ᶺ e⁻ᵗ⁽ˢ⁻³⁾ dt.

Next, we evaluate the integral:

F(s) = [-e⁻ᵗ⁽ˢ⁻³⁾]₀ᶺ.

Now, substituting the limits of integration:

F(s) = [-e⁰⁽ˢ⁻³⁾] - [-e⁻ᵒ⁽ˢ⁻³⁾] = [-(ˢ⁻³)] - [-(ˢ⁻³)e⁻ᵒ].

Simplifying further:

F(s) = ˢ - ³ - (ˢ - ³)e⁻ᵒ.

Therefore, the Laplace transform of the function f(t) = e³ᵗ is given by F(s) = ˢ - ³ - (ˢ - ³)e⁻ᵒ.

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simple interest = $1092

Total amount = $6292

Principal = $5200

rate = 3% = 0.03

time = 7 years

Applying simple interest formula:

I = 5200 × 0.03 ×7

I = $1092

simple interest = $1092

We are to find total amount after getting the interest:

Amount = principal + interest

Amount = $5200 + $1092

Amount = $6292

Answer:

0.5 is correct answer hope it helps

Answer:

Right now its a parallelogram

Step-by-step explanation:

If you want to make it a square then just move the dots

im pretty sure thats right, if not sorry

Answer:

1: A

2: D

3: E

Answer:

51 adults and 193 children

Step-by-step explanation:

Number of children = c

Cost for c children = c*4 = 4c

Number of adults = a

Cost for a adults = 6a

Total people = 244

a + c = 244  ---------------(I)

   a = 244 - c ----------(II)

Cost for 244 people =  $ 1078

6a + 4c = 1078 -------------(III)

Substitute a = 244 - c in equation (III)

6*(244 - c) + 4c = 1078

1464 - 6c + 4c = 1078

1464 - 2c = 1078

         -2c = 1078 - 1464

        -2c = -386

           c =  -386/-2

c = 193

a = 244 - 193

a = 51

To find all the zeros of a polynomial, we have to factor it completely. We'll have a series of factors in the form:

Were a is a zero of the polynomial.

Let's find the zeros of the given polynomial:

Thereby, the zeros of the polynomial are -2, -3 and 4. Each one with a multiplicity of one (They appear only one time)

the probability that at least 3 phones are defective in a random sample of 37 phones is approximately 0.7889

To calculate the probability that at least 3 phones are defective in a random sample of 37 phones, we can use the binomial probability formula. The formula for the probability of at least a certain number of successes in a binomial distribution is:

P(X ≥ k) = 1 - P(X < k)

Where:

P(X ≥ k) is the probability of at least k successes

P(X < k) is the probability of less than k successes

In this case, "success" refers to a defective phone, and the probability of a phone being defective is 11% or 0.11. The sample size is 37 phones.

To calculate the probability, we need to sum up the probabilities of having 3, 4, 5, ..., up to 37 defective phones. We can use this formula:

P(X < k) = Σ (n choose i) * p^i * (1 - p)^(n - i)

Where:

n is the sample size (37)

i is the number of defective phones (ranging from 0 to k-1)

p is the probability of a defective phone (0.11)

Let's calculate the probability:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

Using the formula above, we can calculate each term:

P(X = 0) = (37 choose 0) * 0.11⁰ * (1 - 0.11)³⁷

P(X = 1) = (37 choose 1) * 0.11¹ * (1 - 0.11)³⁷

P(X = 2) = (37 choose 2) * 0.11² * (1 - 0.11)³⁵

Now, let's calculate each term and sum them up:

P(X = 0) = (1) * (1) * (0.89)³⁷ = 0.0134

P(X = 1) = (37) * (0.11) * (0.89)³⁶ = 0.0613

P(X = 2) = (666) * (0.11)² * (0.89)³⁵ = 0.1364

Finally, calculate the probability:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

P(X < 3) = 0.0134 + 0.0613 + 0.1364

= 0.2111

P(X ≥ 3) = 1 - P(X<3)

= 1 - 0.2111

=  0.7889

Calculating this value, the probability that at least 3 phones are defective in a random sample of 37 phones is approximately 0.7889

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Answer:

Step-by-step explanation:

A = bh.

To solve, find factors of seven the fit the description such as 7 and 1.

The length is 7, the width is 6 units less.

So, the width is 1un and the length is 7un.

The height after the 18th month is 69 cm

The function definition is given as

H(m) = 51 + m

Where m represents the number of months

In this case;

m = 18

So, we have

H(18) = 51 + 18

Evaluate the sum

H(18) = 69

Hence, the height after the 18th month is 69 cm

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Answer:

45.27feet

Step-by-step explanation:

Given the height of the balloon (in feet) represented by the equation h=−16t2+28.7t+32.4, where t is the time (in seconds)

Note that the velocity of the balloon at maximum height is zero, hence;

v = dh/dt =0

-32t+28.7 = 0

-32t = -28.7

t = 28.7/32

t = 0.897secs

Get the maximum height

Recall that h=−16t²+28.7t+32.4

h = -16(0.897)²+28.7(0.897)+32.4

h= -12.87+25.74+32.4

h = 45.27feet

Hence the maximum height reached is 45.27feet

Answer:

he finished 20.045 miles in 1 hour

i think this is what the question is asking

Answer:

See Explanation

Step-by-step explanation:

Use the formula rate = distance/time

Rate= 26.2/1.307

Rate= 20.06 Mph

Answer:

Part A number 2 (see work below)

*please give me brainliest lol*

Step-by-step explanation:

(8r^3 + 2r^2 + 1) - (7 - 7r^3 + 3r^2)

after factoring out the negative, you'll have:

8r^3 + 2r^2 + 1    -7 + 7r^3 - 3r^2

now we combine like terms, and your answer is:

15r^3 - r^2 - 6

hope this helps!

Answer:

See solution( s ) below

Step-by-step explanation:

1.

\(( 2r + 4r^2 - 4r^3 ) - ( 5r^2 - 7r + 3r^3 ) ,\\2r+4r^2-4r^3-\left(5r^2-7r+3r^3\right),\\2r+4r^2-4r^3-5r^2+7r-3r^3,\\\\Simplified, -7r^3-r^2+9r\)

To solve this problem, I distributed the negative to the values in ( ), and grouped like elements!

2.

\(( 8x + 8 )( 8v^2 + 4x - 8 ),\\8x\cdot \:8v^2+8x\cdot \:4x+8x\left(-8\right)+8\cdot \:8v^2+8\cdot \:4x+8\left(-8\right),\\\\Simplified, 32x^2+64v^2x-32x+64v^2-64\)

Expanding the values in ( ), I combined like terms once more, and simplified the expression!

3.

\(54b^7+81b^6 + 72b^4,\\Greatest Common Factor = 9b^4\\Factored, 9b^4\left(6b^3+9b^2+8\right)\)

4.

\(16p^3 +12p^2 + 12p + 9,\\\left(16p^3+12p^2\right)+\left(12p+9\right),\\3\left(4p+3\right)+4p^2\left(4p+3\right),\\\\Factored, \left(4p+3\right)\left(4p^2+3\right)\)

5.

\(x^2 + 8x - 20,\\( x^2 - 2x ) + ( 10x - 20 ),\\x * ( x - 2 ) + 10 * ( x - 2 ),\\\\Factored, ( x - 2 )( x + 10 )\)

6.

\(2\sqrt{ 45 } - \sqrt{ 20 }\\6\sqrt{ 5 } - 2\sqrt{ 5 },\\\\Solution, 4\sqrt{ 5 }\)

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The absolute uncertainty in k is 0.018.The correct  option D. 6.90 ± 0.01.

The given equation is:k= x₁​+5y₂

Let's put the values of x and y:x = 0.598 ± 0.008

y = 1.023 ± 0.002

By substituting the values of x and y in the given equation, we get:

k = 0.598 ± 0.008 + 5(1.023 ± 0.002)

k = 0.598 ± 0.008 + 5.115 ± 0.01

k = 5.713 ± 0.018

To find the absolute uncertainty in k, we need to consider the uncertainty only.

Therefore, the absolute uncertainty in k is:Δk = 0.018

The answer is option D. 6.90 ± 0.01.

:The absolute uncertainty in k is 0.018.

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Answer:

$1.25

Step-by-step explanation:

10-2.50=7.5

7.5/6=1.25

hope this helps :3

Answer: $1.25

Step-by-step explanation:

10-total

(1 notebook)-2.50, 6 pens

10-2.50=7.50

7.50/6(pens)=1.25

8/19 or 42.1%

add all values up to a total, then find the percentage from that total.

8 + 2 + 1 + 3 + 5 = 19 balls total

8 tennis valls to 19 total.

8/19 or 42.1%

The resulting graph will show the variation of wattage consumed by the light bulb as a function of time, providing insights into its power consumption pattern.

To graph the wattage consumed by the incandescent light bulb over the interval [0, T], where T is the time period, we need to multiply the voltage V(t) and the amperage I(t) functions.

The resulting graph will represent the wattage consumed by the light bulb as a function of time.

The voltage function is given as V(t) = 163sin(120πt) and the amperage function is given as I(t) = 1.23sin(120πt). To find the wattage function W(t), we multiply these two functions together:

W(t) = V(t) * I(t) = 163sin(120πt) * 1.23sin(120πt)

To graph W(t) over the interval [0, T], where T is the time period, we can plot the values of W(t) at various time points within that interval. We can choose a set of equally spaced values of t within [0, T], calculate the corresponding values of W(t), and plot them on a graph.

The resulting graph will show the variation of wattage consumed by the light bulb as a function of time, providing insights into its power consumption pattern.

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Answer: 32 matches

Step-by-step explanation:

Let the games in total that the baseball team played be represented by x.

Based on the information given in the question, we can form an equation as:

62.5% × x = 20

62.5/100 × x = 20

0.625 × x = 20

0.625x = 20

x = 20/0.625

x = 32

The team played a total of 32 matches.

Answer:

5r + 75 > 300

Hope this helps :)

They need more than $300, so the inequality sign is >. They already have 75 so we will add that to the total amount of raffle tickets sold afterwards. Lastly, the raffle tickets are $5 each, so r will be the number of tickets sold.

I will win about $ 59.

This is a question of permutations and combinations.

We know that,

Probability of getting two non face cards = \(\frac{^{40}C_2}{{^{52}C_2}}\) = 10/17

Probability of not getting two non face cards = 1 - (10/17) = 7/17

Hence, we can write,

Money I will get = (7/17)*50*20 =  $ 411.764

Money I'll have to pay = (10/17)*30*20 = $ 352.94

We know that,

Money left with me = Money I will get - Money I'll have to pay

Hence, we can write,

Money left with me =   $ 411.764 - $ 352.94

Money left with me =  58.824 ≈ $ 59

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Answer:

- 48.00

Step-by-step explanation:

Add all the debt up.

Answer: -48

Step-by-Step Explanation:

Money that Chad owes his Sister = $15

Money that Chad owes his Brother = $9

Money that Chad owes his Friend = $24

Total Money he owes = 15 + 9 + 24 = $48

Hence, Total Money he has = -48 (since he doesn't have any money)

Answer:

C. 150 calories

Step-by-step explanation:

I hope his helps. Have a good day!

To determine the domain of the vector function r(t) = (cos(2t), ln(t + 2), e^t/(t - 1)), we need to identify the valid values for the parameter t.

In this case, we need to consider the restrictions on the variables in each component of the vector function.

The cosine function, cos(2t), is defined for all real values of t.

The natural logarithm function, ln(t + 2), is defined only for positive values of (t + 2), i.e., t + 2 > 0, which implies t > -2.

The exponential function, e^t/(t - 1), is defined for all real values of t except when the denominator (t - 1) equals zero, which implies t ≠ 1.

Based on these considerations, we can determine that the domain of the vector function r(t) is given by option (e): (-∞, -2) U (-2, ∞). This represents all real values of t except for t = 1, where the function is undefined due to the division by zero.

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Answer:

[See Below}

Step-by-step explanation:

✦ Communitive property just means opposite way of doing something but getting the same result.

  ✧ Ex: 3 + 2 = 2 + 3 (Both equal 5)

✦ In this case you are switching the order but you still get the same result, so Yes, It is communitive property.

~Hope this helps Mate. If you need anything feel free to message me.

Answer:

y=-4/3

Step-by-step explanation:

i hope this helps

The directional derivative of a function f(x, y) at a point (a, b) in the direction of a unit vector u = ⟨cosθ, sinθ⟩ is given by the dot product of the gradient of f at (a, b) and the unit vector u.

That is, D_uf(a, b) = ∇f(a, b) · u

Here, f(x, y) = xy^3 - x^2, so ∇f(x, y)

= ⟨y^3 - 2x, 3xy^2⟩.

At the point (1, 4), we have ∇f(1, 4) = ⟨60, 192⟩.

The direction indicated by the angle theta = π/3 is u = ⟨cos(π/3), sin(π/3)⟩ = ⟨1/2, √3/2⟩.

Therefore, the directional derivative of f at (1, 4) in the direction of u is:

D_uf(1, 4) = ∇f(1, 4) · u

= ⟨60, 192⟩ · ⟨1/2, √3/2⟩

= 60/2 + 192(√3/2)

= 30 + 96√3

So the directional derivative of f at (1, 4) in the direction of θ = π/3 is 30 + 96√3.

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To find the probability of the event "the first die is 6 or the sum is 8," we need to count the number of outcomes that satisfy this event and divide it by the total number of possible outcomes.

To find the probability of the event "the first die is 6 or the sum is 8," we need to consider the total possible outcomes when rolling two dice and the favorable outcomes for this event.

Total possible outcomes: 6 sides on each die, so there are 6 x 6 = 36 possible outcomes.

Favorable outcomes:
1. First die is 6: There are 6 possible outcomes (6,1), (6,2), (6,3), (6,4), (6,5), and (6,6).
2. Sum is 8: There are 5 possible outcomes (2,6), (3,5), (4,4), (5,3), and (6,2).

However, (6,2) is counted twice, so we should subtract 1 from the total favorable outcomes: 6 + 5 - 1 = 10.

Probability = Favorable outcomes / Total possible outcomes = 10/36. Simplifying the fraction gives 5/18.

So, the probability of the event "the first die is 6 or the sum is 8" is 5/18.

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