PLS HELP I ONLY HAVE UNTIL TOMORROW, I WILL GIVE BRAINLIEST TO WHO ANSWERS CORRECTLY AND EXPLAINS

Answer:

6. 25 m/s

Step-by-step explanation:

The problem can be modeled using Pythagoras :

a² + b² = c²

Where c = hypotenus ;, b = 6

a² + 6² = c² - - - - - (1)

Diffentiating implicity :

2a da/dt = 2c dc/dt

To lowest term

a da/dt = c dc/dt - - - - (2)

a = 8 = distance from the dock

dc/dt = pull rate = 5 m/s

From (1)

8² + 6² = c²

64 + 36 = c²

100 = c²

c = 10

Substituting into (2)

a da/dt = c dc/dt

8 da/dt = 10 (5)

8 da/dt = 50

da/dt = 50/ 8

da/dt = 6.25 m/s

Hence, speed of boat approaching the dock = 6.25 m/s

Answer:

43

Step-by-step explanation:

Green:  9 - 2(-3) = 9 + 6 = 15

Red:  -2(-3) + 4 = 6 + 4 = 10

Dark blue:  7x + 5 = 19

7x = 19 - 5 = 14

x = 14/7 = 2

Light blue:  6x + 3 = 21

6x = 21 - 3 = 18

x = 18/6 = 3

Red(Lt blue) - Dk blue + Green = 10(3) - 2 + 15 = 43

Answer:

$374

Step-by-step explanation:

1. Add the 4 numbers to get 1496.

2. Count how many numbers there are (4).

3. Divide 1496 by 4 to get 374

Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given GP with:

We can find the common ratio:

Using the nth term formula we can work out the first term:

So the explicit rule is:

The fraction of the wall that is concrete is 12/19

A fraction is a mathematical representation of a part of a whole or a division of one quantity by another. It consists of two parts: a numerator and a denominator, separated by a horizontal line called a fraction bar or a division slash.

The numerator represents the number of parts or the quantity being considered, while the denominator represents the total number of equal parts or the divisor. The numerator and denominator are both whole numbers or integers.

In this problem, to determine the fraction that is concrete, we have to know the total length of the wall.

length of wall = 24 + 5 + 9 = 38 inches

The fraction of the wall that is concrete = 24 / 38 = 12/19

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Answer:

Step-by-step explanation: 1 walk up to our teacher

2 ask her how to do

3 understand the steps and take alot of noets

Answer: A)12

Step-by-step explanation:

The line YZ must be half the size of the line QS, so double the length of YZ should be equivalent to the value of QS

2(x+2)=2x+4

Now we can set them equal to each other and solve for x

\(2x+4=3x-8\\2x+4+8=3x-8+8\\2x+12=3x\\2x-2x+12=3x-2x\\12=x\)

The number of codes that can be made using the 5 letters given is 120 as calculated using permutation and combination.

Now when no letters are repeated:

5 letter codes to be made.

Possible options for each space = 5

so first digit has 5 options, second digit has 4 options , third digit has 3 options , fourth digit has 2 options and the final digit will have only 1 option left.

So total number of codes = 5 × 4 × 3 × 2 × 1 = 120 codes

if letters can be repeated

5 letter codes to be made.

Possible options for each space = 5

so first digit has 5 options, second digit has 5 options , third digit has 5options , fourth digit has 5 options and the final digit will have only 5 options also.

So total number of codes = 5 × 5 × 5× 5× 5= 3125 codes

if adjacent letters cannot be repeated

5 letter codes to be made.

Possible options for each space = 5

so first digit has 5 options, second digit has 4 options , third digit has 4 options , fourth digit has 4 options and the final digit will have only 4 options also.

So total number of codes = 5 × 4 × 4× 4× 4 = 1280 codes

Hence the total number of codes as calculated by permutation and combination is 1280.

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The amount (present value at age 60) that Sandro would neet in his retirement savings account in order to have a monthly income of $1,500 until he is 90 years old, compounded at 4.5% monthly is $296,041.74.

The present value is computed using an online fiance calculator that discounts the future withdrawals (monthly income) for a 360-months period.

End of withdrawal period = 90 years old

Beginning of withdrawal period = 60 years old

The number of years between 60 and 90 = 30 years

N (# of periods) = 360 months (30 years x 12)

I/Y (Interest per year) = 4.5%

PMT (Periodic Payment) = $-1,500

FV (Future Value) = $0

Results:

Present Value (PV) = $296,041.74

Sum of all periodic payments = $540,000 ($1,500 x 360 months)

Total Interest = $243,958.26

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Answer:

A = 5 \(\frac{5}{6}\) ft²

Step-by-step explanation:

the area (A) of a triangle is calculated as

A = \(\frac{1}{2}\) bh ( b is the base and h the height ) , then

A = \(\frac{1}{2}\) × 5 × 2 \(\frac{1}{3}\) ← convert to improper fraction

   = \(\frac{5}{2}\) × \(\frac{7}{3}\)

   = \(\frac{5(7)}{2(3)}\)

   = \(\frac{35}{6}\)

   = 5 \(\frac{5}{6}\) ft²

Answer:

Slope and y intercept

Step-by-step explanation:

You want to put it in slope intercept form (y=mx+b), the first one is already in it and for the second one you just need to move the x, that makes it y>-x+3.

For 1st one: Slope is 1/1 and y intercept is 1

For 2nd one: slope is -1/1 and y intercept is 3

Based on the information, both ∧ (conjunction) and ∨ (disjunction) satisfy the commutative property.

It should be noted that to prove the commutativity of the logical connectives ∧ (conjunction) and ∨ (disjunction), we need to show that they satisfy the commutative property

From the truth table, both P ∧ Q and Q ∧ P have the same truth values for all combinations of truth values of P and Q. Therefore, we can conclude that P ∧ Q ≡ Q ∧ P, and ∧ (conjunction) is commutative.

In order to prove P ∨ Q ≡ Q ∨ P, we construct a truth table for both expressions. Both P ∨ Q and Q ∨ P have the same truth values for all combinations of truth values of P and Q. Therefore, we can conclude that P ∨ Q ≡ Q ∨ P, and ∨ (disjunction) is commutative.

Hence, both ∧ (conjunction) and ∨ (disjunction) satisfy the commutative property.

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Answer:

See below

Step-by-step explanation:

Answer:

Let us set up a ratio to find the relationship between side lengths of the two triangles.

25:10

5:2

We can divide both sides by two, but there's no need as the smaller triangle has multiples of two.

So, if XZ is 6, let's place it into the ratio and find what "x" is.

5(3) : 2(3)

15 : 6

x = 15

Airplane 1 had the fastest rate of descent during its landing.

To compare the rates of descent of the two airplanes, we need to convert both rates to a common unit of measurement. Let's convert both rates to feet per minute (ft/min) to make the comparison easier.

Airplane 1 had a rate of descent of -130 ft/s, which is equivalent to:

-130 ft/s × 60 s/min = -7800 ft/min

Airplane 2 had a rate of descent of -97/8 ft/s, which is equivalent to:

(-97/8) ft/s × 60 s/min = -729.375 ft/min

Comparing these two rates, we can see that Airplane 1 had the faster rate of descent during its landing:

-7800 ft/min (Airplane 1) > -729.375 ft/min (Airplane 2)

Therefore, Airplane 1 had the fastest rate of descent during its landing.

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Answer: 50

Step-by-step explanation:

(7*8) - 6

56 - 6 = 50

Answer: 803.84cm3

Step-by-step explanation:
The formula for finding the volume of a cylinder is πr2h.
In other words, the area of the top face's circle times the height.

To find the circle's area, we first find the radius of the circle. Since the diameter is 8cm, we divide by 2 to get the radius, which is 4cm.

4cm squared is 4cm x 4cm, which is 16cm. 16cm times 3.14 is 50.24cm squared.

Now, we have the area of the circle. 50.24cm squared!

The height is 16cm, so to find the cylinder, we times the area of the circle by the height of the cylinder! So,

16cm x 50.24cm squared = 803.84cm cubed.

The volume of the can of soup is 803.84cm cubed.

Answer:

O.K.A.Y

Step-by-step explanation:

The volume of a cuboid is 420cm3.

The length is 10cm and the width is 7cm.

Work out the height of the cuboid.

Answer:

0.6395 ; 0.9657 ; 0.7333

Step-by-step explanation:

Given that:

Mean (m) = 10.1

Standard deviation (s) = 2.8

Obtain the following probabilities :

a) less than 10 minutes

P(x < 10)

Z = (x - m) / s

Z = (10 - 10.1) / 2.8

Z = 0.1 / 2.8

Z = 0.0357142

P(Z < 0.357) = 0.6395 ( Z probability calculator)

(b) longer than 5 minutes

P(x > 5)

Z = (x - m) / s

Z = (5 - 10.1) / 2.8

Z = −1.821428

P(Z < - 1.821) = 0.9657 ( Z probability calculator)

(c) between 8 and 15 minutes

P(8 < x < 15)

P(x < 8)

Z = (x - m) / s

Z = (8 - 10.1) / 2.8

Z = − 0.75

P(Z < - 0.75) = 0.22663 ( Z probability calculator)

P(x < 15)

Z = (x - m) / s

Z = (15 - 10.1) / 2.8

Z = 1.75

P(Z < 1.75) = 0.95994 ( Z probability calculator)

P(Z < 1.75) - P(Z < - 0.75)

0.95994 - 0.22663 = 0.7333

Therefore, the interest portion of the seventh payment is:7,000 x (1 + r + r2 + r3 + r4 + r5 + r6) / r7 - 7,000.

We have the following payments and their corresponding times of payment:At the end of year 1: $1,000At the end of year 2: $2,000At the end of year 3: $3,000At the end of year 4: $4,000At the end of year 5: $5,000At the end of year 6: $6,000At the end of year 7: $7,000

At the end of year 8: $8,000At the end of year 9: $9,000At the end of year 10: $10,000The present value of these payments is:PMT x [(1 - (1 + r)-n) / r]where PMT is the payment, r is the interest rate per year, and n is the number of years till payment.

For the first payment (end of year 1), the present value is:1,000 x [(1 - (1 + r)-1) / r]which equals

1,000 x (1 - 1 / (1 + r)) / r = 1,000 x ((1 + r - 1) / r) = 1,000

For the second payment (end of year 2), the present value is:2,000 x [(1 - (1 + r)-2) / r]which equals 2,000 x (1 - 1 / (1 + r)2) / r = 2,000 x ((1 + r - 1 / (1 + r)2) / r) = 2,000 x (1 + r) / r2

For the seventh payment (end of year 7), the present value is:

7,000 x [(1 - (1 + r)-7) / r]

which equals

7,000 x (1 - 1 / (1 + r)7) / r = 7,000 x ((1 + r - 1 / (1 + r)7) / r) = 7,000 x (1 + r + r2 + r3 + r4 + r5 + r6) / r7

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Step-by-step explanation:

a=b+3

when b=3

a+b= b+3+b= 2b+3 = 6+3=9

Answer:

Step-by-step explanation:

sin (B) = \(\frac{2}{5}\)

To find the subtracted value, we need to calculate the multiplicative inverse of (4/3 - 4/9) and then subtract it from the sum of 7/12 and 7/8.

First, let's find the multiplicative inverse of (4/3 - 4/9):

Multiplicative inverse = 1 / (4/3 - 4/9)

To simplify the expression, we need a common denominator:

Multiplicative inverse = 1 / ((12/9) - (4/9))

= 1 / (8/9)

= 9/8

Now, we need to subtract the multiplicative inverse from the sum of 7/12 and 7/8:

Subtracted value = (7/12 + 7/8) - (9/8)

To perform this calculation, we need a common denominator:

Subtracted value = (7/12 * 2/2 + 7/8 * 3/3) - (9/8)

= (14/24 + 21/24) - (9/8)

= 35/24 - 9/8

To simplify further, we need a common denominator:

Subtracted value = (35/24 * 1/1) - (9/8 * 3/3)

= 35/24 - 27/24

= 8/24

= 1/3

Therefore, subtracting 1/3 from the sum of 7/12 and 7/8 will give you the multiplicative inverse of (4/3 - 4/9).

The statements supported by the data in the table are:

The mean number of cars sold in a month is the same at both dealerships.

The total number of cars sold is the same at both dealerships.

The data for Admiral Autos shows greater variability.

To determine which statements are supported by the data in the table, let's analyze the given information:

The mean number of cars sold in a month is the same at both dealerships.

To calculate the mean, we need to find the average number of cars sold each month at each dealership.

For Admiral Autos:

(4 + 19 + 15 + 10 + 17) / 5 = 65 / 5 = 13

For Countywide Cars:

(9 + 17 + 14 + 10 + 15) / 5 = 65 / 5 = 13

Since both dealerships have an average of 13 cars sold per month, the statement is supported.

The median number of cars sold in a month is the same at both dealerships.

To find the median, we arrange the numbers in ascending order and select the middle value.

For Admiral Autos: 4, 10, 15, 17, 19

Median = 15

For Countywide Cars: 9, 10, 14, 15, 17

Median = 14

Since the medians are different (15 for Admiral Autos and 14 for Countywide Cars), the statement is not supported.

The total number of cars sold is the same at both dealerships.

To find the total number of cars sold, we sum up the values for each dealership.

For Admiral Autos: 4 + 19 + 15 + 10 + 17 = 65

For Countywide Cars: 9 + 17 + 14 + 10 + 15 = 65

Since both dealerships sold a total of 65 cars, the statement is supported.

The range of the number of cars sold is the same for both dealerships.

The range is determined by subtracting the lowest value from the highest value.

For Admiral Autos: 19 - 4 = 15

For Countywide Cars: 17 - 9 = 8

Since the ranges are different (15 for Admiral Autos and 8 for Countywide Cars), the statement is not supported.

The data for Admiral Autos shows greater variability.

To determine the variability, we can look at the range or consider the differences between each data point and the mean.

As we saw earlier, the range for Admiral Autos is 15, while for Countywide Cars, it is 8. Additionally, the data points for Admiral Autos are more spread out, with larger differences from the mean compared to Countywide Cars. Therefore, the statement is supported.

Based on the analysis, the statements supported by the data are:

The mean number of cars sold in a month is the same at both dealerships.

The total number of cars sold is the same at both dealerships.

The data for Admiral Autos shows greater variability.

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The function that models the relationship between the number of students enrolled, f(x) and the number of years after 2015, x,  is D. f(x) = 3000(0.98)*.

Mathematically, a function defines a mathematical relationship or an algebraic expression involving one variable (the independent variable) and another variable (the dependent variable).

There are four main types of mathematical functions, including:

The number of students enrolled in 2015 = 3,000

The annual decrease in students enrollment = 2%

Let f(x) the model modeling the relationship between the number of students enrolled and the number of years after 2015.

Let the number of years after 2015 = x.

Thus, the correction function is D. f(x) = 3000(0.98)*.

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Answer:

y intercept is 11 or (0,11)

Step-by-step explanation:

\(y = 2 {(x - 2)}^{2} + 3 \\ y = 2 {(0 - 2)}^{2} + 3 \\ y = 2(4) + 3 \\ y = 8 + 3 \\ y = 11\)

Answer:

The required probability would be 0.146 that it takes 3 shots for the marksman to hit the long-range target.

The probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

A marksman has a probability of 0.322 for hitting a certain long-range target which is given in the question.

It takes the marksman 3 shots to hit the long-range target = P(E)

Required probability = P(E)

Here no long-range hits in the 1st two shots = (E₁)

And a long-range hit on the 3rd shot = (E₂)

P(E) = P( (E₁) and (E₂))

P(E) = (1 - 0.288) (1-0.288)(0.288)

P(E) = 0.146

Therefore, the required probability would be 0.146 that it takes 3 shots for the marksman to hit the long-range target.

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