Evaluate the expression. r = , v = , w = v ⋅ w (5 points)

Answer:

Part A ) Option A, Option C, Option E

Part B ) 1200 cm^2

Step-by-step explanation:

The area of a kite can be identified through 1 / 2 of the multiplication of each diagonal. The first diagonal is equivalent to the addition of 50 cm and 10 cm, while the second is of length 20 cm + 20 cm.

[tex]1 / 2 * ( 50 + 10 ) * ( 20 + 20 ),\\1 / 2 * ( 60 ) * ( 40 ),\\( 30 ) * ( 40 ),\\\\Area of Kite = 1200 square cm[/tex]

Consider the first option. If we take a look at the bit 2 * ( 1 / 2 * 20 * 50 ) the 2 and 1 /2 cancel each other out, leaving you with 20 * 50 = 1000 . Respectively in the expression 2 * ( 1 / 2 * 20 * 10 ) the 2 and 1 / 2 cancel each other out, leaving you with 20 * 10 = 200;

[tex]1000 + 200 = 1200 square cm,\\Option A - Correct![/tex]

The second option considers the expression 2 * ( 1 / 2 * 20 * 60 ). Again, the 2 and 1 / 2 cancel each other out, leaving you with 20 * 60;

[tex]20 * 60 = 1200 square cm,\\Option B - Correct![/tex]

Option C is a similar version of option a, besides the fact that the 1 / 2 doesn't exist. Thus, Option C is incorrect!

Option D is a similar version of option a as well, but as the 2 doesn't exist, it is incorrect!

This last option, option E is taken as 1 / 2 of the multiplication of the diagonals, and thus is correct!

[tex]1 / 2 * ( 40 * 60 ),\\1 / 2 * ( 2400 ),\\1200 square cm\\\\Correct![/tex]

Hope that helps!

Answer:

The correct answer is

n = 3038

Step-by-step explanation:

Where we have;

We note that 1000! = An even number

Since Even × Even = even

Even × Odd = Even

Also, 7ⁿ is an Odd number since odd × odd = odd

Therefore 7ⁿ will divide 1000! with some fractions as follows;

1000! divided by 7ⁿ

When 7ⁿ = 1000!

log(7ⁿ) = log(1000!) = log(4.02×10²⁵⁶⁷)

n·log(7) = 2567.604

n = 2567.604/(log(7)) = 3038.23

Therefore, the largest integer n such that 7ⁿ divides 1000! = 3038

Which gives, 1000! ÷ 7³⁰³⁸ = 1.5733.

Answer:

4 feet

Step-by-step explanation:

Use pythagorean theorem to solve the center height of Sam’s tent.

The center height of the triangle or Sam's tent is given by AB = 4 feet

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Now , the base of the triangle is BC = 3 feet

The hypotenuse of the triangle is AC = 5 feet

And , the triangles share a common height

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

So , the height of the triangle AB = √ ( AC )² - ( BC )²

On simplifying , we get

The height of the triangle AB = √ ( 25 ) - ( 9 )

The height of the triangle AB = √16

The height of the triangle AB = 4 feet

Hence , the height of the triangle is 4 feet

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Step-by-step explanation:

Hers your answer friend

Answer:

180 and 300

Step-by-step explanation:

We want to divide up the number 480 in a 3:5 ratio.

=> We should turn 480 into 3+5=8 portions, each portion is 480/8 = 60.

=> 480 could be divided into 2 smaller numbers that satisfy 3:5 ratio:

60x3=180 and 60x5 = 300.

Check:

180:300 ratio <=> 3:5 ratio (valid)

Hope this helps!

Answer:

The zeroes of a polynomial is the value of x when the polynomial is set to 0.

We can write x² - 2x - 8 = 0. This factors to (x - 4)(x + 2) = 0 and using Zero Product Property the solutions are x = 4, x = -2.

Answer:

1) 2

2) 1

Step-by-step explanation:

1) According to the law of exponents, [tex]x^0 = 1[/tex]

= [tex]2 (\frac{3}{5} )^0[/tex]

=2(1)

= 2

2) [tex](-7)^0[/tex]

= 1

Answer:

0.00001808958

Step-by-step explanation:

hope this helps you :)

Answer:

  B.  6

Step-by-step explanation:

The volume is proportional to the height. The ratio of the heights of the taller to shorter pyramids is 6 : 1. Since the pyramids have the same base ares, this is also the ratio of volumes.

The volume ratio is 6.

Answer:

1st Option

Step-by-step explanation:

Average rate of change formula: [tex]\frac{f(a) - f(b)}{a-b}[/tex]

Simply plug in 8 as a and 6 as b.

Answer:

A.

Step-by-step explanation:

Δy /Δx = (y2 - y1)/(x2 - x1) = [g(x2) - g(x1)]/(x2 - x1)

[g(x2) - g(x1)]/(x2 - x1) =[g(8) - g(6)]/(8 - 6) =[tex]\frac{[-8^{2}-4(8)]-[-6^{2}-4(6)]}{8-6}[/tex]

Answer:

$250

Step-by-step explanation:

Total parts:

2+3+9 = 14

500/14 = 250/7

2×250/7 : 3×250/7 : 9×250/7

500/7 : 750/7 : 2250/7

The largest share is 2250/7, the smallest share is 500/7.

Find the difference.

2250/7 - 500/7 = 250

Answer:

$250

Step-by-step explanation:

2x+3x+9x= $500

9x-2x= 7x=?

14x= $500

7x= $500/2= $250

Answer:

0.17 people / sq ft

Step-by-step explanation:

1 If a rectangular pool is 15 feet long and 8 feet wide and there are 20 people in the pool; what is the density of people in the pool?

1.3 people per square foot.

2.5 people per square foot.

06 people per square foot.

.17 people per square foot.

Density of people in pool is number of people per square foot.

area = length * width = 15 ft * 8 ft = 120 ft^2

density = people/sq ft = 20 people / 120 sq ft = 0.17 people / sq ft

Answer:

0.17 people / sq ft

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer is d)

y= 0.0018(x-105)^2 +7

Answer:

The correct answer is :

Range is: {1000,1100,1200,1300,1400,1500,1600}

Step-by-step explanation:

We are given here input-output table.

Let us define the domain and range of a function.

Domain is the set of values that can be given as input to the function.

and

Range is the set of values that comes out as the output of the function.

For example:

[tex]y = f(x) = 2x[/tex]

The domain of the function above is the set of values of x.

The range of function is the value of y or f(x).

For above example, range can be set of all Real numbers i.e. R.

Range for the above example will also be set of all Real numbers i.e. R.

From the given table in the question statement:

Input or Domain = {10,20,30,40,50,60,70}

Output or Range = {1000,1100,1200,1300,1400,1500,1600}

Answer:

25% increase

Step-by-step explanation:

Apex

The percent increase in Soraya's monthly earnings is 2.5%

Increase expressed as a percentage is referred to as a percentage increase. When comparing growth in a quantity through time, from its beginning value to its ultimate value, the percentage increase formula is utilised.

Given:

Soraya earned $40 in October.

She earned $50 in November.

Change in amount= 50- 40= $10

So, percent increase = 10/ 40 x 100

                                   = 2.5%

Hence, the percent increase is 2.5%

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Answer:

1 piece of UPS

Step-by-step explanation:

Here, we want to know the difference in the number of pieces handled at the different times

In 1995, amount handled = 1.8 * 10 = 18 pieces

In 2000, amount handled = 1.7 * 10 = 17 pieces

The difference between what was handled in the year 2010 and what was handled in 1995 is 18 -17 = 1

Answer:

the answer is C

Answer:

The answer is C.

Step-by-step explanation:

We are given: [tex]\frac{3+2i}{1-5i}[/tex]. To find the quotient, simplify it. To do that, multiply by the conjugate of the denominator.

The conjugate of [tex]1-5i[/tex] is [tex]1+5i.[/tex]\

Thus, we have:

[tex]\frac{3+2i}{1-5i} \cdot\frac{1+5i}{1+5i} =\frac{3+15i+2i+10i^2}{1-25i^2}[/tex]

Recall that [tex]i^2[/tex] is simply -1.

Thus, we have:

[tex]\frac{3+17i-10}{1-(-25)}=\frac{-7+17i}{26}[/tex]

We can split this:

[tex]-\frac{7}{26}+\frac{17}{26}i[/tex]

Answer:

8

Step-by-step explanation:

4/4=1

3/3=1

1+1+6=8

Answer:

Step-by-step explanation:

[tex]3x^2+15x-5=0\\a = 3\\b = 15\\c = -5\\ x = -b\±\frac{\sqrt{b^{2} -4ac} }{2a} \\x = -(15)\±\frac{\sqrt{15^{2} -4(3)(-5)} }{2(3)} \\x = -15 \±\frac{\sqrt{225+60} }{6} \\x = -15\±\frac{\sqrt{285} }{6} = A[/tex]

Answer:

-847

Step-by-step explanation:

Using PEMDAS, exponents come first. 6 ^ 3 is equal to 216. Then multiplication arrives.-4 * 216 = -864. Then addition has to be done. -864 + 17 =   -847

Answer:

-847

Step-by-step explanation:

10-4*6^3+7

PEMDAS

Parentheses first - there are none

Exponents

10-4*216+7

Multiply and divide from left to right

10-864+7

Add and subtract from left  to right

-854 +7

-847

Answer: 58°

Step-by-step explanation:

They say the triangles are equal. And they give us more information for the triangle on the right.

∠E = ∠B

We know ∠C and ∠D, so you should add them all up to equal 180. (degree of a triangle)

74 + 48 + ∠E = 180

122 + ∠E = 180

∠E = 58

So therefore ∠B = 58

Answer:

x = 29

Step-by-step explanation:

Focus on ΔDEC first. We know that two of its angles are ∠C = 48° and ∠D = 74°.

All of a triangle's angles must add up to 180° by the Triangle Sum Theorem. 48° + 74° = 122°. 180° - 122° is 58°. So ∠E is 58°.

Because the triangles are congruent, ∠E corresponds to ∠B.

Because ∠B is "2x," divide 58° by 2. 58° ÷ 2 = 29°. 29° × 2 = 58°, so this checks out.

I hope this helps!!

Answer:

107

Step-by-step explanation:

Median is the middle most no.

=> Here, Median are two numbers, 106 and 108 So, we'll find the mean of it to get the median

=> Median = [tex]\frac{106+108}{2}[/tex]

=> Median = 107

Answer:

A-4

B-5

C-1

D-3

E-2

Step-by-step explanation:

They all have the same explanation u have to find the point where the line coincides with the x and y axis

E.g on how to work out

Note when the value of y is zero u get the x coordinate and when x is zero u get the y coordinate

C=2x+y=4

To get x 2x+0=4 x=2

Y 0+y=4 y=4

After doing so u locate the line that passes through (2,0),(0,4)

Hope it helps

Answer:

Can you send a screen shot of each graph  because its hard to see the  coordinate

Step-by-step explanation:

Answer:

f(x) =1/3 × 4^x

f(4) = 1/3 × 4⁴

= 1/3 × 256

= 256/3

Hope this helps

Answer:

Step-by-step explanation:

9/7, 14/3, 4/7, 30/29, 14/15

The answer of this is C: 43

Answer:

C)43ft

Step-by-step explanation:

Area= pi*r(squared)

Pi*3.7(squared)=43.00

So answer=43pi(squared)

Answer: 14000

Step-by-step explanation:

From the question, the first thing is to first calculate the simple interest (S.I). This will be:

S.I = (principal × rate × time)/100

where principal = 10,000

rate = 4%

time = 10 years

Simple interest = (10,000 × 4 × 10)/100

= 400000/100

= 4000

The total value after 10 years will be th addition of the amount invested and the interest. This will be:

= 10,000 + 4000

= 14000

Answer:

x-5

Step-by-step explanation:

f(x) = 5x-4

g(x) = 4x+1

Subtracting big equations

(f-g)(x) = 5x-4-4x-1

(f-g)(x) = x-5

Answer:

x-5

Step-by-step explanation:

I had the same question on my assignment lol

Answer:

120 sweets

Step-by-step explanation:

Bri:Jim:Kru

4: 3: 1

find the difference in the ratio of Bridget and Krutika

4-1=3

ratio 3 is equivalent to 45 sweets

total ratio(4+3+1)--------> ?

total no. of sweets= 8x45

3

=120sweets

Answer:

y ≤ 3

Step-by-step explanation:

All values will work all the way up to 3 (including 3). However, no solution would work after the value 3. So, your inequality would be y ≤ 3.

Answer:

y ≤ 3

Step-by-step explanation:

all y values lower than or equal to 3 are part of the shaded area.