A submarine was 400 meters below sea level it then moved to 583 meters below sea level. How many meters did the submarine descend? how did you get the answer?

Answer:

Step-by-step explanation:

Answer:

154 legs

Step-by-step explanation:

40-3=37

37 times 4 = 148

3 times 2 ° 6

148+6= 154

Answer: 154 legs

Step-by-step explanation: First, multiply 37×4 because there are 37 cows with 4 legs, which gets you 148. Since there are 3 cows with only 2 legs, do 3×2=6. Finally, add 148 and 6 to get 154 legs.

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Answer:

x = 147°

Step-by-step explanation:

To find x, we have to find the angle measures in the small triangle.

180 - 61 = 119° (sum of adjacent angles on straight line=180)

The other angle measure in the triangle is 28° because they are vertically opposite angles.

We subtract 119° and 28° to find the angle measure next to x.

180 - 119 - 28 = 33° (sum of angles in a triangle=180)

x = 180 - 33

= 147° (sum of adjacent angles on straight line=180)

Answer:

[tex]\textsf{b)} \quad \text{P}(A\;\text{and}\;B)=\dfrac{1}{5}[/tex]

Step-by-step explanation:

Given:

[tex]\text{P}(A)=\dfrac{1}{4}[/tex]

[tex]\text{P}(B)=\dfrac{1}{4}[/tex]

[tex]\text{P}(A|B)=\dfrac{4}{5}[/tex]

Conditional Probability Formula

[tex]\text{P}(A \cap B)=\text{P}(B)\;\text{P}(A|B)[/tex]

Substitute the given values into the formula:

[tex]\begin{aligned}\implies \text{P}(A \cap B)&=\dfrac{1}{4} \cdot \dfrac{4}{5}\\\\&=\dfrac{4}{20}\\\\&=\dfrac{1}{5}\end{aligned}[/tex]

The Total Probability is 4/663 and 35/2652

What is Probability?

Probability is an area of mathematics that deals with numerical representations of how probable an event is to occur or how likely a statement is to be true. An event's probability is a number between 0 and 1.

Solution:

We know that there are 52 cards in a deck of cards.

So, probability of getting a king = 4/52 = 1/13

And probability of getting a 7 after drawing a king is 4/51,

this is because one card is drawn out from the deck and there are only 51 cards left in the deck.

Total Probability = 1*4/13*51 = 4/663

In the secon case, there are two possibilities,

It can be the kling drawn might be of spade or not

Case 1: When King drawn is of Spade

Probaility of drawing a King of Spade = 1/52

Probability of drawing a Spade after King of Spade is drawn = 11/51

Total Probaility = 1*11/52*51 = 11/2652

Case 2: When King drawn is not of Spade

Probability of drawing a King not of Spade = 2/52

Probability of drawing a Spade after drawing the King = 12/51

Total Probability = 2*12/51*52 = 24/2652

Total Probability of drawing a king and spade = 11/2652 + 24/2652 = 35/2652

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The percentage of computers not working is 10%.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that there are three of the 30 computers are out of service.

The percentage of the computers which are out of service will be calculated as,

P = 3 / 30

P = 0.1

P = 0.1x 100

P = 10%

Therefore, the percentage of computers not working is 10%.

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Mean absolute deviation is the variation in a data set and is the average distance between each value and mean.

It is calculated by finding the difference between each data value and mean and then finding average of that.

So, let data set be x1,x2,x3,x4...xN.

mean of the data set is [tex]\bar{x}[/tex].

then mean absolute deviation will be

[tex]M.A.D=\sum\limits^N_{n=0}\frac{ {x_n-\bar{x}}}{N}[/tex]

Thus, mean absolute deviation shows how much the data vary in the data set.

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Perimeter of triangle FBC is 19.24 units

Area of triangle FBC is 100.62 square units

Given,

The triangle with vertices;

F(-3, 5)

B(3, 2)

C(1, -2)

We have to find the perimeter and area of the triangle;

Formula for getting distance from vertices;

D = [tex]\sqrt{(x_{2} -x_{1} )^{2}+(y_{2} -y_{1} )^{2} }[/tex]

Here,

D = [tex]\sqrt{(x_{2} -x_{1} )^{2}+(y_{2} -y_{1} )^{2} }[/tex]

= [tex]\sqrt{(3 -(-3) )^{2}+(2 -5 )^{2} }[/tex]

= [tex]\sqrt{6^{2} +(-3)^{2} }[/tex]

= [tex]\sqrt{36+9}[/tex]

= √45

D = [tex]\sqrt{(x_{2} -x_{1} )^{2}+(y_{2} -y_{1} )^{2} }[/tex]

= [tex]\sqrt{(1 -3 )^{2}+(-2-2)^{2} }[/tex]

= [tex]\sqrt{(-2)^{2} +(-4)^{2} }[/tex]

= [tex]\sqrt{4+16}[/tex]

= √20

D = [tex]\sqrt{(x_{2} -x_{1} )^{2}+(y_{2} -y_{1} )^{2} }[/tex]

= [tex]\sqrt{(1-(-3) )^{2}+(-2 -5)^{2} }[/tex]

= [tex]\sqrt{4^{2}+(-7)^{2} }[/tex]

= [tex]\sqrt{16+49}[/tex]

= √65

That is,

Now,

Perimeter of triangle FBC = FB + BC + FC

= √45 + √20 + √65

= 19.24 units

Next,

Area of triangle FBC = 1/2 × BC × FB²

= 1/2 × √20 × √45²

= 100.62 square units.

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Answer:

x=17

Step-by-step explanation:

8x+20 is equal to 11x-31 because l parallel to m.

8x+20=11x-31

3x=51

x=17

Answer:

Step-by-step explanation:

L || m

[tex]\sf (8x+20)^o=(11x-31)^o[/tex]

[ Corresponding angles]

[tex]\sf 8x+20=11x-31[/tex]

[tex]\sf 8x-11x=-31-20[/tex]

[tex]\sf -3x=-51[/tex]

[tex]\sf \cfrac{-3x}{-3}=\cfrac{-51}{-3}[/tex]

[tex]\sf x=17^o[/tex]

__________________

Hope this helps!

Have a great day!

There are many things obstructing the route so yes. I cannot give a detailed answer as I have not been given the "distance formula" sorry

Answer:

How do I show you the graph because I have it

Step-by-step explanation:

Based on the information given the variance of their​ weights is 119.9200 kg².

What is variance?

The statistical assessment of the variation in numbers within a data collection is known as variance. In more detail, variance assesses how far apart each number in the collection is from the mean (average) and, consequently, from each other. This symbol is frequently used to represent variation: σ².

Main body:

n=sample size=10

Standard deviation=10.9508 kg

Using this formula

Variance=(Standard deviation)²

Let plug in the formula

Variance=(10.9508 kg)²

Variance= 119.9200 kg²

Hence the variance of their​ weights is 119.9200 kg².

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Answer:

612.5

Step-by-step explanation:

Area is the length times the width

a = 70x35

a = 2450  Divide this number by 4

612.5

Answer: 3/4

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 12 and 16 is 4

Divide both the numerator and denominator by the GCD

12 ÷ 4

16 ÷ 4

Reduced fraction: 3/4

Therefore, 12/16 simplified to lowest terms is 3/4.

Answer:.

Step-by-step explanation:

By using the concept  of inequality, the correct options are

2nd, 4th and 5th option

What is linear inequation?

Inequation shows the comparision between two algebraic expressions by connecting the two algebraic expressions by [tex]> , < . \geq, \leq[/tex]

A one degree inequation is known as linear inequation.

Here,

The given inequation is

[tex]\frac{-2}{3}n \leq 16[/tex]

Now,

[tex]\frac{-2}{3}n \leq 16\\n \geq -16 \times \frac{3}{2}\\n \geq -24\\[/tex]

Since n is greater than or equal to 24, the arrow will point towards right

The circle will be closed as there is an equality

So the correct options are 2nd, 4th and 5th option

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Complete Question

The complete question has been attached here

The total weight of the metal bar is 45.002 grams.

Given:

While mining, Peter found a large metal bar that contained 33 grams of gold.

Peter also determined that the bar was 73.33% gold.

73.33% = 33 grams

divide by 73.33 on both sides

73.33%/73.33 = 33/73.33 grams

1% = 0.45002 grams

Multiply on 100 on both sides

1%*100 = 0.45002*100

100% = 45.002 grams.

Therefore the total weight of the metal bar is 45.002 grams.

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Answer:

The ratio shows that there are 14 girls to 30 students in total

Step-by-step explanation:

14 + 16 = 30 that mean that there are 30 students in total, therefore, the ratio shows 14 girls : 30 students

a. The penalty Lorna must pay is $26.86.

b. The total amount Lorna must pay on February 27 is $2037.74.

Given that,

On December 14, 2017, Lorna Hall's $2,010.88 real estate tax was due. Because of her job loss, Lorna was unable to pay her taxes until February 27, 2018. Late payment fees are assessed at a rate of 6 1/2% regular interest.

We have to find

a. What is the fine Lorna is required to pay

b. How much will Lorna owe in total on February 27.

First,

We know that,

i=p×r×t

Here,

i is interest.

p is principal amount.

r is rate of interest

t is time.

So, p is $2010.88

r is 6 1/2%

t is 17+31+27= 75 days is 75/365

So,

i= 2010.88×6 1/2×75/365

i= $26.86

The penalty Lorna must pay is $26.86.

Second,

We know that,

Total amount= real estate tax due amount+ Penalty pay.

Total amount= $2010.88+$26.86

Total amount= $2037.74

The total amount Lorna must pay on February 27 is $2037.74.

Therefore, a. The penalty Lorna must pay is $26.86.

b. The total amount Lorna must pay on February 27 is $2037.74.

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Using the graph, the hourly wage of the employees is: $8 per hour.

Slope of a proportional graph is the unit rate between two variables, x and y, and it is calculated as: k = y/x.

To find the unit rate or slope of the graph, use any point on the graph (x, y).

The unit rate of the graph in the image above is the hourly wage of the employees.

Using any point on the line, say, (13, 104), we can find the slope/unit rate. Therefore:

Unit rate/slope, k = 104/13

Unit rate/slope, k = 8

Therefore, the hourly wage is: $8 per hour.

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23.45 inches fabric was used on a headband and 9.64 inches fabric was used on a wristband for each player.

No. of players = 29

No. of coaches = 4

Total fabric used for headbands = 773.85 inches

Total no. of people for headbands = 29 + 4

                                                          = 33

Fabric used for headband for 1 person = 773.85/33

                                                                 = 23.45 inches

Total fabric used for wristbands = 279.56 inches

Total no. of people for wristbands = 29

Fabric used for headband for 1 person = 279.56/29

                                                                 = 9.64 inches

Hence, fabric for headband is 23.45 inches and for wristband is 9.64 inches.

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Solution :

[tex]\qquad \sf  \dashrightarrow \: log(x) + 5 \: log(y) - 4 \: log(z) [/tex]

[tex]\qquad \sf  \dashrightarrow \: log(x) + \: log(y {}^{5} ) - \: log(z {}^{4} ) [/tex]

( a log(x) = log(x^a) )

[tex]\qquad \sf  \dashrightarrow \: log( x {y}^{5} ) - log(z {}^{4} )[/tex]

( log (a) + log (b) = log (ab) )

[tex]\qquad \sf  \dashrightarrow \: log( \frac{ x {y}^{5} }{z {}^{4} }) [/tex]

( log (a) - log (b) = log (a/b) )

If their combined weight is 175 pounds, The amount of Luna weight is D. 82 pounds.

Let x represent the weight of Cooper

Let x +25 represent the weight of Daisy

Let 3x -20 represent the weight of Luna

Hence,

x + (x +25) + (3x -20) = 175

5x +5 =175

Combine like terms

5x = 175 -5

5x =170

Divide both side by 5x

x = 170/5

x =34

Weight of Luna

3x -20  where x= 34

3(32) -20

= 102 -20

= 82 pounds

Therefore the correct option is D.

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Answer:

10x+6xy+4

Step-by-step explanation:

2(5x+2)-(3y) 2x-4x

By removing the bracket

10x+4-6xy+12xy

10x+4+6xy

10x+6xy+4

Equation of parabola in vertex form is :

[tex](x-h)^{2} = 4a(y-k)[/tex]

[tex](x-0)^{2} = 4a(y-180)[/tex]

it passing through (1,164)

∴ [tex](1-0)^2=4a(164-180)[/tex]

[tex]1 = 4a(-16)[/tex]

⇒ [tex]-64a = 1[/tex]

⇒ [tex]a = -\frac{1}{64}[/tex]

∴ [tex](x-0)^2 = 4 \times \frac{1}{-64} (y-180)[/tex]

[tex]x^2 = -\frac{1}{16}(y-180)[/tex]

[tex]-16x^2 = y-180\\y = -16x^2+180\\[/tex]

Here, the equation of parabola in vertex form is:

[tex]y = -16(x^2)+180 ,\ for \ x\geq 0[/tex]

What is Parabola?

A curve formed by the intersection of a cone with a plane parallel to a straight line in its surface.

What is cone?

A cone is a three-dimensional shape in geometry that narrows smoothly from a flat base (usually circular base) to a point(which forms an axis to the Centre of base) called the apex or vertex.

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The function that represents the graph f(x) = -3|x| is f(x) = -3|x| - 5

How to find the function of the graph ?

To ascertain whether a graph accurately depicts a function, use the vertical line test. The graph is a function if a vertical line drawn across it is moved and hits it only once at any given time. If there are multiple points where the vertical line intersects the graph, the graph is not a function.

As it is already given in the question that the function

f(x) = -3|x|

We will use transformation rules to solve the given question

f(x)→f(x-a) ⇒ Graph shifted to right by a units

f(x)→f(x+a) ⇒ Graph shifted to left by a units

f(x)→f(x) - a ⇒ Graph shifted downwards by a units

f(x)→f(x) + a ⇒ Graph shifted upwards by a units

When it is translated 5 units down

Then we subtract 5 outside of the given function

∴ f(x) = -3 |x| - 5

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Answer:

1.5 liters

Step-by-step explanation:

The rational zeros for F(x)=3x^4-4x^3+x^2+6x-2 are x= -1 and x= 1/3 while the linear factors are (x+1) and (3x-1)

Synthetic division has to do with dividing polynomials.

The process involves:

Step 1: Set up the synthetic division.

Step 2: The leading coefficient should be brought down to the bottom row.

Step 3: Multiply this by the value just written on the bottom row.

Step 4: Then, add the column created in step 3.

This can be illustrated thus:

Given: f(x) = 3x⁴-4x³+x²+6x-2

3x⁴-4x³+x²+6x-2 = 0

We will try x = -1 in f(x). In this case, replace x with -1. This will be:

= 3x⁴-4x³+x²+6x-2 = 0

Since f(-1)= 0 so (x+1) is a factor

Using synthetic division:

-1)....3....-4....1....6....-2

.........3.....-7...8....-2..|..0

Remainder = 0

Quotient = 3x³ -7x² + 8x -2

For 3x³ -7x² + 8x -2,  f(1/3) = 0 so (x- 1/3) is a factor

1/3)....3....-7....8....-2

..........3.....-6...6...|..0

Remainder = 0

Quotient = 3x²-6x+6

= 3(x²-2x+2)

Since there are no more rational zeros or linear factors for x²-2x+2. Therefore, the rational zeros are x= -1 and x= 1/3.

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The comparison done by Mr Jones means that Test A of standard deviation 7 is closer to the mean scores and Test B of standard deviation 12 is further apart from the mean score

The standard deviation is a statistic measure that expresses how much variance or dispersion there is in a group of numbers.

A high standard deviation suggests that the values are dispersed throughout a wider range,

A low standard deviation suggests that the values tend to be close to the established mean.

A positive value means the standard deviation is above the mean while a negative value means the standard deviation is below the mean

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Louie can choose the vessel for exhibition using combination in 3003 ways

information from the question include

Louie is studying ceramics and he is to submit 5 vessels

He has 15 vessels

The problem will be solved using combination

combination is method of choosing or making selection when order does not matter

Louie can choose any 5 of his vessel with no particular order

The formula is ₁₅C₅

₁₅C₅ = 15! / {5!(15 - 5)! )

= 15! / {5! * 10!}

= 3003 ways

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The number of rotations is 172.

Rotation is a circular movement about the specific axis or point of rotation. The two most prevalent directions for rotation are clockwise and counterclockwise, or anti-clockwise.

Rotation simply means going around a central point. Any point on the shape has a constant distance from the center.

Given, the clockwise rotation is by 62,000°.

To find the number of rotation (n),

[tex]n = \frac{62000}{360}[/tex]

n = 172.2

Therefore, the number of rotations is 172.

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