How will this looks like

The area of a triangle is 4 square units.

Given that, the coordinates of the triangle ABC are A(4, 3), B(5, 1) and C(1, 1).

We need to find the area of a triangle ABC.

The area of a triangle is defined as the total space occupied by the three sides of a triangle in a 2-dimensional plane. The basic formula for the area of a triangle is equal to half the product of its base and height, i.e., A = 1/2 × b × h.

The base of the triangle = |5-1|=4

From vertices, A(4, 3) to the base the distance is 2 units at the vertice (4, 1)

So, the height of the triangle = 2 units

Now, the area of a triangle ABC = 1/2 × 4 × 2 = 4 square units.

In the given solution the height of a triangle is wrongly calculated.

Therefore, the area of a triangle is 4 square units.

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Answer: Im not sure

Step-by-step explanation:

you didnt list/provide the graphs for me to answer. :I

A direct, consistent relationship between the independent variable and the dependent variable is called "dose-response relationship."

The effect on an organism and, more specifically, the risk of a defined outcome caused by a set quantity of an agent or level of exposure.

Some key features regarding the dose-response relationship are-

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Area of the region inside the circle r=4cos(theta) and outside the circle r=2 is 4π/3 + 2√3

A form created using the polar coordinate system is called a polar curve. Points on polar curves have varying distances from the origin (the pole), depending on the angle taken off the positive x-axis to calculate distance. Both well-known Cartesian shapes like ellipses and some less well-known shapes like cardioids and lemniscates can be described by polar curves.

r = 1 − cosθsin3θ

Polar curves are more useful for describing paths that are an absolute distance from a certain point than Cartesian curves, which are good for describing paths in terms of horizontal and vertical lengths. Polar curves can be used to explain directional microphone pickup patterns, which is a useful application. Depending on where the sound is coming from outside the microphone, a directional microphone will take up sounds with varied tonal characteristics. A cardioid microphone, for instance, has a pickup pattern like a cardioid.

The area between two polar curves can be found by subtracting the area inside the inner curve away from the area inside the outer curve.

The figure attached shows the bounded region of the two graphs. The red curve is  r=4cos⁡(θ) and the blue curve is r=2.

The points of intersection of the two curves are

θ = π/3 and 5π/3

The area is calculated as follows:

Since the bounded region is symmetric about the horizontal axis, we will find the area of the top region, and then multiply by 2, so as to get the total area.

A = 2 [tex]\(\int_{0}^{\pi /3}[/tex] ½ (4 cos (θ)² − ½ (2)² dθ

  =  [tex]\(\int_{0}^{\pi /3}[/tex] 16 cos2 (θ) − 4dθ

  = [tex]\(\int_{0}^{\pi /3}[/tex] 8 (1+cos(2θ)) − 4dθ

  =[tex]\(\int_{0}^{\pi /3}[/tex] 4 + 8 cos (2θ) dθ

  = [4θ + 4sin (2θ)] [tex]\(\int_{0}^{\pi /3}[/tex]

  = 4π/3 + 2√3

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Answer:

Corrected - didn't see the 10 to the negative 2 in the denominator at first - sorry)

8000

Step-by-step explanation:

Simplify

5.12 x 10 ^6/ 1.6 X 10 ^5 X (.4 X 10^-2)

Do the math

3.2 x 10/.04 x 1- ^-2)

Simplify

8 X 10^3

Simplify

8000

Answer:

a = 10/3 and b = -196/51.

Step-by-step explanation:

4a + 2b - 12ax + 15b = -40x - 52

Equating coefficients of x:

-12ax = -40x

-12a = -40

a = 40/12

  = 10/3.

Equating constants:

4a + 2b + 15b = -52

4a + 17b = -52

Substituting a = 10/3:

40/3 + 17b = -52

17b = -52 - 40/3

b = (-52 - 40/3) / 17

  = (-156/ 3 - 40/3) / 17

  = -196 / 51

The mass m in terms of K and v is expressed as m= 2K/v^2

The subject of formula is a way of representing a variable in terms of other variables.

Given the equation below;

K = 1/2mv^2

Make m the subject of the formula

2K = mv^2

2K/v^2 = mv^2/v^2

2K/v^2 = m

Swap

m= 2K/v^2

Hence the mass m in terms of K and v is expressed as m= 2K/v^2

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Answer:

here is my answer........

Step-by-step explanation:

(3-x)^2 = 9 - 3x - 3x + X2

= X2 - 6x +9

The measure of each angle are m∠ABC =  40.4 and m∠DEF =  49.6

The given parameters are

m∠ABC = (2x+4)∘ and m∠DEF = (3x−5)∘,

Complementary angles add up to 90 degrees

So, we have

2x + 4 + 3x - 5 = 90

Evaluate the like terms

5x = 91

Divide by 5

x = 18.2

Substitute x = 18.2 in m∠ABC = (2x+4)∘ and m∠DEF = (3x−5)∘,

m∠ABC = (2 x 18.2 + 4) = 40.4

m∠DEF = (3 x 18.2 − 5)∘ = 49.6

Hence, the measure of each angle are m∠ABC =  40.4 and m∠DEF =  49.6

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Answer:

True

Step-by-step explanation:

dividing both sides by M you are left with L=P

The 500,00th number in the sequence = 98828

A sequence is a numbered collection of objects where repeats are permitted and order is important. It has members, just like a set. The length of something like the sequence is defined as the number of items.

here n^th iteration n+3 element are listed and n element are skipped.

now before nth iteration total skipped natural number : 1+2+3+.........n-1

                                                                                           = n(n-1)/2

now after completion of nth iteration total listed natural number = 4+5+6+.....n+3

= ((n+3)(n+4)/2)-6

to find 50000th number total listed element must be greater than or equal to 50000.

((n+3)(n+4)/2)-6 ≥ 50000

(n+3)(n+4) ≥ 100012

n = 313

total skipped before 313th iteration

=( 313 * 312)/2

=  48828

total listed before 313th is 48828.

listed after 312th iteration

= ((315)(316))/2)-6

= 49764

total number remaining for 50000

= 50000 - 49764

= 236

total number passed.

skipped+ listed

= 48828 + 49764

= 98592

50000th element = 98592 + 236

                              = 98828

The 500,00th number in the sequence = 98828

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Answer: V=[tex]\frac{1}{1000000}[/tex] cm^3

Step-by-step explanation:

V = s³

V = (0.01)³

V=(1/100)³

V=[tex]\frac{1}{1000000}[/tex] cm^3

the volume of cube with a side that measures 0.01 cm is answer v = a3

Answer: 4.631*10^5

Step-by-step explanation:

463,100=

400,000+63,100=

4*100,000+(63,100/100,000)*100,000=

4*10^5+(631/1000)*10^5=

4*10^5+0.631*10^5=

(4+0.631)*10^5=4.631*10^5

The expression to show the best estimate is 64 * 2 +76 * 1

The given parameters are:

The expression to show the best estimate is

Expression = Gum package * Number of package + Candy bar * Number of bars

So, we have

Expression = 64 * 2 +76 * 1

Hence, the expression to show the best estimate is 64 * 2 +76 * 1

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Answer: He must save $52 per month

Step-by-step explanation: 240-32= 208/4= 52

Answer:

0.08

Step-by-step explanation:

0.8% as a decimal is 0.08.

Hope this helps!

Please mark as brainliest if correct!

Answer:

.8% = 0.08

Imagine the hundredths place(2 DP) as the ones place, and the tenths place as the tens place like in 57%, that would be 0.57 because it's double digit.

Hope this helps.

Answer:

x= -3/g -1

Step-by-step explanation:

Multiplying the underlying mean of $247 for a single day by 10 to account for the 10 days, the mean for food and lodging for a 10-day vacation is of $2470.

This problem is incomplete, but researching it on a search engine, it is found that the mean for a single day was of $247.

The entire trip was of 10 days, hence the mean is given as follows, multiplying the mean by the constant:

247 x 10 = $2,470.

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Answer:

x = 1 and x = -3.5

Step-by-step explanation:

y = -2x² -5x + 2

-2x² -5x + 2 = -5

which means y = -5

Draw the line on y = -5 like the green line in the attached file

and see where this line intersects with the graph

the values are:

x = 1 and x = -3.5

Answer:

Draw a line at y = -5.

x ≈ -3.5

x ≈ 1

Step-by-step explanation:

Given equation:

[tex]y = -2x^2 - 5x + 2[/tex]

This is the equation of the graphed parabola.

To solve the equation  [tex]-2x^2 - 5x + 2 = -5[/tex]  draw a line at y = -5 and find the points of intersection of the two graphed equations.

From inspection of the graph, the x-values of the points of intersection are:

Solving algebraically

Add 5 to both sides of the equation:

[tex]\implies -2x^2-5x+2+5=-5+5[/tex]

[tex]\implies -2x^2-5x+7=0[/tex]

Factor out -1 from the left side:

[tex]\implies -1(2x^2+5x-7)=0[/tex]

Divide both sides by -1:

[tex]\implies 2x^2+5x-7=0[/tex]

Find two numbers that multiply to -14 and sum to 5:  7 and -2

Rewrite b as the sum of these two numbers:

[tex]\implies 2x^2+7x-2x-7=0[/tex]

Factor the first two terms and the last two terms separately:

[tex]\implies x(2x+7)-1(2x+7)=0[/tex]

Factor out the common term (2x + 7):

[tex]\implies (x-1)(2x+7)=0[/tex]

Apply the zero-product property:

[tex](x-1)=0 \implies x=1[/tex]

[tex](2x+7)=0 \implies x=-\dfrac{7}{2}=-3.5[/tex]

The average hourly change in tub fullness is ₋1/13.

Jenna she starts her shift, the tub of chocolate ice cream is 2/3 full.

After she finishes her shift 6 1/2 hours , there is only 1/6 of tub left.

the average hourly change in tub fullness = ?

subtract the initial quantity from the quantity left after 6 1/2 hours.

⇒ 2/3 ₋ 1/6

= 1/2

Divide the quantity by 6 1/2 hours.

time is represented in improper fraction, convert it into proper fraction.

6 1/2  = 12 ₊ 1/2

= 13/2

⇒ 1/2 ÷ 13/2

= 1/13

the statement says the quantity decreases,

so ₋1/13

therefore the average hourly change in tub fullness is ₋1/13

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Answer:   False

The correct expression is -4(x-1)^3+2

====================================================

Work Shown:

[tex]f(x) = x^3\\\\f(x-1) = (x-1)^3\\\\-4f(x-1) = -4(x-1)^3\\\\-4f(x-1)+2 = \boldsymbol{-4(x-1)^3+2}\\\\[/tex]

So the error is with the stuff in the parenthesis. Instead of (x^3-1) it should be (x-1)^3

Side note:  (x-1)^3 expands to x^3-3x^2+3x-1

Answer:

168

Step-by-step explanation:

You'd plug 6 in for x

f(x) = 24x + 24

f(6) = 24(6) + 24

f(6) = 144 + 24

f(6) = 168

Answer:

-65

Step-by-step explanation:

Given ~

[tex] \tt \: f(x) = - 4 {x}^{2} + 7x[/tex]

[tex] \: [/tex]

put x=5 in given function ~

[tex] \: [/tex]

[tex] \tt \: f(5) = - 4(5) ^{2} + 7(5)[/tex]

[tex] \: [/tex]

[tex] \tt \: f(5) = - 4(25) + 7(5)[/tex]

[tex] \: [/tex]

[tex] \tt \: f(5) = -100 + 35 [/tex]

[tex] \: [/tex]

[tex] \underline{\boxed{\red{ \tt f(5) = - 65}}}{\green✓}[/tex]

[tex] \: [/tex]

hope helps ~

Answer:

Step-by-step explanation:

Let x represent the number of weeks a population of the bacteria increases. Then, we have the number of bacteria is molded by the expression of 900*3^x. By, the given expression and when we assigned a value of x=2. Then we have 900*3² .

Answer:

Option a 340 cm²

Area= bxh

20x17=340 cm²

The value of x is 108. If the mean of the data set 100, 122, 107, 115, 107, x is 108.

According to the given question.

We have a data set 100, 122, 105, 115, 107, x .

Also, the mean of the data set is 108.

As we know that, mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.

Therefore, the mean of the data set 100, 122, 105, 115, 107, x is given by

Mean = [100 + 122 + 107 + 115+ 107 + x]/6

⇒ 108  × 6 = (551 + x)

⇒ 648  = 551 + x

⇒ x = 648 - 551

⇒ x = 97

Hence,the value of x is 108. If the mean of the data set 100, 122, 107, 115, 107, x is 108.

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The scale of the drawing is in the ratio of 1 millimeter : 3 meter

In this, we need to find the ratio that is 1millimeter:x meter where x is the original scaling of the plot.

We have been given that

                   24 millimeters = 72 meters

Now we have to find how many meters is equal to 1 millimeter which will find out by the unitary method.

Thus,   24 millimeters = 72 meters

               1 millimeter = 72/24 meter

               1 millimeter = 3 meter

Hence the scale of the drawing is 1 millimeter : 3 meter

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Answer:

Step-by-step explanation:

So the nearest perfect square to 3793 is 3721. Hence, the least number that must be subtracted from 3793 to get a perfect square = 3793 - 3721 = 72.

Answer:

ABBCBAAHSHSHDHEEHDHSHHH74737477382