5a + 5b + 5c + 5d
Which expression is another way to write the expression shown here?
A) 5abcd
B) 5a + bcd
C) 5(a + b + c + d)
D) (5a)(5b)(5c)(5d) what the answer

Answer:

The 13.2 meters from that point on the ocean floor to the wreck.

Step-by-step explanation:

As given

A ship's sonar finds that the angle of depression to a ship wrack on the bottom of the ocean is 12.5°.

If a point on the ocean floor is 60 meters.

Now by using the trigonometric identity.

[tex]tan\theta = \frac{Perpendicular}{Base}[/tex]

As shown in the figure given below.

Perpendicular = CB

Base = AC = 60 meters

[tex]\theta = 12.5^{\circ}[/tex]

Put in the identity

[tex]tan\ 12.5^{\circ} = \frac{CB}{AC}[/tex]

[tex]tan\ 12.5^{\circ} = \frac{CB}{60}[/tex]

[tex]tan\ 12.5^{\circ} = 0.22[/tex]

[tex]tan\ 12.5^{\circ} = 0.22[/tex]

[tex]0.22= \frac{CB}{60}[/tex]

CB = 60 × 0.22

CB = 13.2 meters

Therefore the 13.2 meters from that point on the ocean floor to the wreck.

The distance from the point on the ocean floor directly below the ship to the shipwreck is approximately 13.3 meters.

We will use the tangent function, which relates the angle of depression to the opposite side (the distance from the point directly below the ship to the shipwreck) and the adjacent side (the depth of the ocean at the point directly below the ship).

Given:

The angle of depression [tex]\theta[/tex] is [tex]12.5^o.[/tex]

The depth of the ocean at the point directly below the ship, h, is 60 meters.

We want to find the distance from the point directly below the ship to the shipwreck, which we will call [tex]d.[/tex]

Using the tangent function :  

[tex]\[ \tan(\theta)[/tex] = [tex][\frac{\text{opposite}}{\text{adjacent}}][/tex]

[tex]\[ \tan(12.5^o) = \frac{d}{60} \][/tex]

To find d, we rearrange the equation:  [tex]\[ d = 60 \times \tan(12.5^o) \][/tex]

Now we calculate the tangent of 12.5 and multiply it by 60:[tex]\[ d = 60 \times \tan(12.5^o) \][/tex]

[tex]\[ d \approx 60 \times 0.22169\][/tex]

[tex]\[ d \approx 13.3014 \][/tex]

Therefore, the distance from the point on the ocean floor directly below the ship to the shipwreck is approximately 13.3 meters.

The diagram of question is:

Answer:

I am 99% sure the answer is f(x)= 4x + 5

Step-by-step explanation:

That is because the line intercepts y at 5 and every 4 cubes the line hits a corner...

Answer:

F(x)=4x +5

Step-by-step explanation:

Answer:

The density of the  bar of gold is  19.32 grams per cubic centimeter .

Step-by-step explanation:

Formula

[tex]Density = \frac{Mass}{Volume}[/tex]

As given

A bar of gold has a volume of 722 cubic centimeters and weighs 13.949 kilograms.

As 1 kilogram = 1000 gram

Than convert 13.949 kilograms into grams.

13.949 kilograms = 13.949 × 1000 grams

                             = 13949 grams

Mass = 13949 grams

Volume = 722 cubic centimeter

As put in the formula

[tex]Density = \frac{13949}{722}[/tex]

Density = 19.32 grams per cubic centimeter (Approx)

Therefore the density of the  bar of gold is  19.32 grams per cubic centimeter .

Answer:

Given statement is TRUE.

Step-by-step explanation:

Given that line segment JK and LM are parallel. From picture we see that LK is transversal line.

We know that corresponding angles formed by transversal line are congruent.

Hence ∠JKL = ∠ MLK ...(i)

Now consider triangles JKL and MLK

JK = LM  {Given}

∠JKL = ∠ MLK { Using (i) }

KL = KL  {common sides}

Hence by SAS property of congruency of triangles, ΔJKL and ΔMLK are congruent.

Hence given statement is TRUE.

Answer:

Can not be determined.

Step-by-step explanation:

We can easily notice that the limit is x tends to infinity, whereas x is not present in the given function, we are given (1 + 1/n). So we can not evaluate the given limit for x as parameter, we must have some function of x to solve this problem.

Hence, option C is correct i.e. the limit can not be determined.

Answer:

cannot be determined

Step-by-step explanation:

If we have, [tex]\lim_{n \to \infty} {1+\frac{1}{n}}[/tex]

We plug in infinity for n directly

1/∞ =0

So when we plug in infinity for n  then 1/n becomes 0

[tex]\lim_{n \to \infty} {1+\frac{1}{n}}[/tex]

[tex] {1+\frac{1}{infinity}}[/tex]

1+ 0 = 1

In our problem , limit says x-> ∞

there is no x  term inside

[tex]\lim_{x \to \infty} {1+\frac{1}{n}}[/tex]

so we can clearly say limit cannot be determined

Answer:

a = 15, b = 7, c = 5, d = 10, e = 12

Step-by-step explanation:

You only need to find d.

22+d=32, d=10

Only one choice has d=10

Don't waste time checking the others.

Answer:

It’s B

Step-by-step explanation:

Good Morning!

Distance = rate x time

1/2 mile = R x 2/5 hour

1/2=2/5R

/2/5 /2/5

R=1/2 x 5/2

R=1 1/4

She can swim 1 1/4 per hour.

I hope this helps! :)

Answer:

1 1/4

Step-by-step explanation:

Answer:

The solution to the system would be (3, -1)

Step-by-step explanation:

You can find the solution to this system by using the elimination method. To do that, start by multiplying the top equation by -5 and then adding it through.

-5x + 20y = -35

5x + 9y = 6

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

29y = -29

y = -1

Now that we have the value of y, we can plug it into either equation and find the x value.

x - 4y = 7

x - 4(-1) = 7

x + 4 = 7

x = 3

Final answer:

The solution to the given system of equations is the ordered pair (3, -1).

Explanation:

To find the solution to the system of equations, we can use the method of substitution or elimination. Let's use the method of substitution.

1. Solve the first equation for x:

x = 7 + 4y

2. Substitute this value of x into the second equation:

5(7 + 4y) + 9y = 6

3. Simplify and solve for y:

35 + 20y + 9y = 6

29y = -29

y = -1

4. Substitute the value of y back into the first equation to find x:

x = 7 + 4(-1)

x = 3

Therefore, the solution to the system is the ordered pair (3, -1).

The largest possible value for (a.bc + 0.d) is (10.56).

The largest possible value for (a.bc + 0.d) when (a), (b), (c), and (d) are replaced by four different digits from 1 to 9, inclusive, can be found by selecting the largest digits for (a), (b), and (c), and the smallest digit for (d).

This results in the number (9.86 + 0.7), which equals (10.56).

Therefore, the largest possible value for (a.bc + 0.d) is (10.56).

Complete question:

If a,b,c,d are replaced by four different digits from 1 to 9, inclusive, then what's the largest possible value for a.bc + 0.d ?

Answer:

see explanation

Step-by-step explanation:

since y is inversely proportional to x the equation relating them is

y = [tex]\frac{k}{x}[/tex] ← k is the constant of proportionality

to find k use the given condition when y = 7, x = 9

k = yx = 7 × 9 = 63

y = [tex]\frac{63}{x}[/tex] ← is the equation connecting them

when x = 21, then

y = [tex]\frac{63}{21}[/tex] = 3

The equation connecting y and x is y = 9 + 3x. When x = 21, y = 72.

The equation connecting y and x is given by y = 9 + 3x. In this equation, the constant term, also known as the y-intercept, is 9. The coefficient of x, also known as the slope, is 3. This means that for every increase of 1 in x, y increases by 3.

To calculate the value of y when x = 21, substitute x = 21 into the equation: y = 9 + 3(21) = 9 + 63 = 72. Therefore, when x = 21, y = 72.

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Answer:

Volume of a in z = 876 ounces

Step-by-step explanation:

For z, the ratio of x and y is 3 : 11

x : y = 3 : 11 , which means in 14 parts of solution z : x will be 3 parts and y will be 11 parts

So, in 2520 ounces solution of z ,

[tex]x=\frac{2520*3}{14}=540\\y=\frac{2520*11}{14}=1980[/tex]

Volume of a in z = { Volume of a in x + Volume of b in x }

Therefore,

[tex]Volume \thinspace of \thinspace a\thinspace in\thinspace x = 540\cdot \frac{2}{5} = 216\\Volume \thinspace of \thinspace b \thinspace in \thinspace x = 1980\cdot \frac{1}{3}=660[/tex]

So, Volume of a in z = 876 ounces

Answer: 243, 729

Step-by-step explanation:

1, 3, 9, 27, 81    is a geometric sequence where r = 3

a₁ = 1

a₂ = 1 x 3 = 3

a₃ = 3 x 3 = 9

a₄ = 9 x 3 = 27

a₅ = 27 x 3 = 81

To find the next two terms, multiply the previous term by 3:

a₆ = 81 x 3 = 243

a₇ = 243 x 3 = 729

Answer:

g(x) = (x-3) ^2 -3

Step-by-step explanation:

f(x) = x^2

To shift down 3 units, subtract 3  ( When we move up, we add)

h(x) = x^2 -3

To shift to the right 3 units, replace x with (x-3).  I know it seems backwards, but right is minus and left is plus.

g(x) = (x-3) ^2 -3

Answer:

3.5 tons

Step-by-step explanation:

Answer: 20%

Step-by-step explanation:

200\1000

Answer: Third option is correct.

Step-by-step explanation:

Since we have given that

In ΔABC,

∠A= 30°

∠B=75°

We need to find the value of ∠ACD=x

As we know that "Sum of interior angles is equal to exterior angle":

So, we will have,

[tex]\angle A+\angle B=\angle ACD\\\\30\textdegree+75\textdegree=\angle ACD\\\\105\textdegree=\angle ACD[/tex]

Hence, Third option is correct.

Answer:

The answer is 105 degrees

180-75=105

Answer:

all of the above

Step-by-step explanation:

Every one of these functions is defined for all values of x.

All the provided functions: y = x, y = 2x^2 + x - 3, y = 3x - 4, y = 2, and y = 3 - x^2, have a domain of all real numbers. This means any real value can be input into these functions to get a real output.

The domain of a function is the set of all possible input values (usually represented by x) that will give an output value. In this case, we are asked to identify which of the provided functions have a domain of all real numbers. For the functions given: y = x, y = 2x^2 + x - 3, y = 3x - 4, y = 2, and y = 3 - x^2, all of them have a domain of all real numbers. This is because no matter what value of x you choose, these functions will always provide a valid output of y. In other words, you can input any real number into these functions and get a real number out.

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Answer: Probability that the next donation is not a pair of gloves is 0.54.

Step-by-step explanation:

Since we have given that

Number of coats = 5

Number of pairs of gloves = 23

Number of scarves = 19

Number of hats = 3

Total number of winter clothing is given by

[tex]5+23+19+3=50[/tex]

Probability that the next donation is not a pair of gloves is given by

Not gloves = 50-23=27

P(not gloves ) is given by

[tex]=\frac{Not\ gloves}{total}\\\\=\frac{27}{50}\\\\=0.54[/tex]

Hence, Probability that the next donation is not a pair of gloves is 0.54.

Answer:

.54

Step-by-step explanation:

I know khan, ok?

Answer:

c  x >=3

Step-by-step explanation:

9-2x <= 3

Subtract 9 from each side

9-9-2x <=3-9

-2x <-6

Divide by -2.  Remember to flip the inequality when multiplying or dividing by a negative number.

-2x/-2 >= -6/-2

x >=3

Answer: i think it would be letter c plz mark brainliest and add as friend

Answer:

45.57

Step-by-step explanation:

Final answer:

After applying a 40% discount to the original $62 price of the shoes and adding an 8% sales tax, the total cost of the pair of shoes is $40.18.

Explanation:

The question involves calculating the total price of a pair of shoes after a discount and adding sales tax. To find the discounted price, we take 40% off the original price of $62. To calculate 40% of $62, we multiply 62 by 0.40 (which is 40% as a decimal), giving us $24.80. We subtract this discount from the original price: $62 - $24.80 = $37.20, which is the discounted price of the shoes.

Next, calculate the sales tax on the discounted price by converting the sales tax rate from a percent to a decimal. The sales tax rate is 8%, which as a decimal is 0.08. Multiply the discounted price by the sales tax rate: $37.20 x 0.08 = $2.976, which we round to $2.98.

Finally, add the sales tax to the discounted price to find the total cost: $37.20 + $2.98 = $40.18. Therefore, the total price of the shoes, including tax, is $40.18.

Answer:

It is true

Step-by-step explanation:

Answer:

Look at your answer choices and see which one has multiplied each of the shots by 2

Step-by-step explanation:

Step-by-step explanation:

For example, if you have:

[tex]\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right][/tex]

Then, your answer would be:

[tex]\left[\begin{array}{ccc}2&4&6\\8&10&12\\14&16&18\end{array}\right][/tex]

Because each term is the double of the original matrix.

[tex]aM=a\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] = \left[\begin{array}{ccc}1a&2a&3a\\4a&5a&6a\\7a&8a&9a\end{array}\right][/tex]

In fewer words, the scalar will multiply each element of the matrix.

In a depreciation equation, you multiply the value of the car by the percent of depreciation minus 1.

In the given equation you are multiplying the value of the car by (.85)

This means the percent of depreciation would be 1 - 0.85 =0.15 which is 15%

The car depreciates by 15% every year.

Answer:

The car depreciates by 15% every year.

Step-by-step explanation:

16.5(10)=165

The length of the actual car is 165in.

l - lenght

w - width

l - w = 5 → l = 5 + w

26 m - perimeter

l + l + w + w = 2l + 2w - perimeter

substitute l = 5 + w:

2(5 + w) + 2w = (2)(5) + (2)(w) + 2w = 10 + 2w + 2w = 10 + 4w

The equation:

10 + 4w = 26     subtract 10 from both sides

4w = 16    divide both sides by 4

w = 6

Answer:

3

Step-by-step explanation:

Answer:

[tex]x \leq 1[/tex]

Step-by-step explanation:

Multiplying 8 by x can be written as 8x, and +6 on end:

8x + 6

Because it says 14 is no less than, the equal to or more than sign needs to be used:

[tex]8x + 6 \leq 14[/tex]

The -6 can be moved over to the other side making it a -6:

[tex]8x \leq 14 - 6[/tex]

[tex]8x \leq 8[/tex]

Simplify by dividing both sides by 8:

[tex]x \leq 1[/tex]

Which is the inequality!

Answer:

The given statement can be written as [tex]14\geq 8x+6[/tex] or [tex]x\leq 1[/tex].

Step-by-step explanation:

It is required to write the sentence as an inequality.

The given sentence is "14 is no less than 8 times a number x plus 6".

The given statement can be written as " 14 can be equal or more than 8 times a number x plus 6"

Now, in the inequality form, the statement will be,

[tex]14\geq 8x+6[/tex]

Solve the above inequality as,

[tex]14\geq 8x+6\\8\geq 8x\\1\geq x\\x\leq 1[/tex]

Therefore, the given statement can be written as [tex]14\geq 8x+6[/tex] or [tex]x\leq 1[/tex].

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Answer:

A) centroid

Step-by-step explanation:

I just looked it up.

Answer:

A. Centroid

Step-by-step explanation:

A centroid of a triangle is the point where the three medians of the triangle meet. A median of a triangle is a line segment from one vertex to the mid point on the opposite side of the triangle. The centroid is also called the center of gravity of the triangle.

Answer:

a   -5/2 <=x

Step-by-step explanation:

5(x-2) <= 9x

Distribute the 5

5x -5*2 <= 9x

5x-10 <= 9x

Subtract 5x from each side

5x-5x-10 <= 9x-5x

-10 <= 4x

Divide by 4 on each side

-10/4 <=4x/4

-5/2 <=x