ANSWER ASAP. ALGEBRA WILL GIVE BRAINLIEST AND 70 POINTS
Write an equation in point-slope form of the line that passes through the point (0, 2) and has a slope of m=4

Answer:

12\(\sqrt{3}\) / 24

Step-by-step explanation:

ΔXZW is a 30-60-90 triangle whose sides are in the ratio of 1 : \(\sqrt{3}\) : 2, respectively

also, ΔXZW ≅ ΔYZW

so XW = 12

XZ = 24

WZ = 12\(\sqrt{3}\)

cos ratio of ∡XZW is WZ/XZ which is:

12\(\sqrt{3}\) / 24

Answer:

35 to 23

Step-by-step explanation:

Answer:

c = 48

Step-by-step explanation:

Given c varies directly as a and inversely as b then the equation relating them is

c = \(\frac{ka}{b}\) ← k is the constant of variation

To find k use the condition c = 15 when a = 18 and b = 40 , then

15 = \(\frac{18k}{40}\) ( multiply both sides by 40 )

600 = 18k ( divide both sides by 18 )

\(\frac{600}{18}\) = k

\(\frac{100}{3}\) = k

c = \(\frac{100a}{3b}\) ← equation of variation

When a = 36 and b = 25 , then

c = \(\frac{100(36)}{3(25)}\) = \(\frac{3600}{75}\) = 48

The overall profit of what Stuart sold is 52 dollars.

Stuart sold 8 couches and 11 armchairs at his furniture store yesterday and he made a 10 dollars loss on each couch and a 12 dollars profit on each armchair.

Therefore, the overall profit or loss can be calculated as follows:

Total loss on the couch = 8 × 10 = 80 dollars

Total profit on the armchairs = 11 × 12 = 132 dollars

Therefore,

Overall profits = 132 - 80

Overall profits = 52 dollars

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Answer: 138 calories.

Step-by-step explanation:

Answer:

138 calories per serving

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

just add all the sides

5+5+2+2= 14

Answer:

no solutions

Step-by-step explanation:

6n - 6n - 12 = 14 - 2 = 12 ( add 12 to both sides )

0 = 24 ← not possible

this indicates the equation has no solution

The two-column proof below demonstrates that triangle ADC is congruent to triangle BCD.

A B C D is a rectangle. | Given

AD = BC, DC = DC, AC = BC, ∠ADC = ∠BCD | Rectangle properties

ΔADC ≅ ΔBCD | Side-Angle-Side (SAS) congruence

In this proof, we are given a rectangle ABCD. We want to prove that triangle ADC is congruent to triangle BCD (ΔADC ≅ ΔBCD). To begin, we state the given information, which is that ABCD is a rectangle (Statement 1).Rectangles have several properties that we can use to establish congruence between the triangles. Firstly, the opposite sides of a rectangle are equal in length. Therefore, we can deduce that AD = BC (corresponding sides) and DC = DC (common side) (Statement 2).

Additionally, rectangles have congruent diagonals, meaning AC = BC. This allows us to conclude that triangle ADC and triangle BCD share the same side lengths and have two congruent angles, ∠ADC and ∠BCD (Statement 2).

By applying the Side-Angle-Side (SAS) congruence criterion, which states that if two triangles have two pairs of corresponding sides congruent and the included angles congruent, then the triangles are congruent, we can assert that ΔADC is congruent to ΔBCD (Statement 3).

Hence, the two-column proof demonstrates that triangle ADC is congruent to triangle BCD.

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The values of x in the rectangle are 1 or 3

A rectangle is a quadrilateral (has four sides and four angles) in which opposite sides are parallel and equal.

The perimeter of a rectangle is given by:

Perimeter = 2(length + breadth)

From the image attached,, the length is (x + 1)/3 and the width is 1/x, hence:

\(Perimeter =2(length + width)\\\\\\\frac{10}{3} =2(\frac{x+1}{3}+\frac{1}{x} )\\\\\frac{5}{3} =(\frac{x+1}{3}+\frac{1}{x} )\\\\5x=x^2+x+3\\\\x^2-4x+3=0\)

x = 1 or x = 3

Therefore the values of x in the rectangle are 1 or 3

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Let's define the next variable

x: number of miles

Then, the expression that gives the total cost is 10 + 1.75x

The estimated areas of each curve are listed below:

Case 1: A = 12.75

Case 2: A = 12.5

In this problem we must estimate the area above the x-axis and under a curve by using sums of rectangles and triangles according to the following expression:

A = {∑ [MIN (f(xₙ₋₁), f(xₙ))] + 0.5 · ∑ [MAX (f(xₙ₋₁), f(xₙ)) - MIN (f(xₙ₋₁), f(xₙ))]} · Δx, for n = {1, 2, 3, ..., N}

Where:

Case 1

A = (3.5 + 3.5 + 1.5) · 1 + 0.5 · (3.5 + 0.75 + 0.75 + 2 + 1.5) · 1

A = 8.5 + 0.5 · 8.5

A = 12.75

Case 2

A = (1 + 3 + 4) · 1 + 0.5 · (1 + 2 + 1.5 + 0.5 + 4) · 1

A = 8 + 4.5

A = 12.5

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To find the linearization l(x) of the function at a=32, we need to first calculate the slope or derivative of the function at a) f'(x) = (4/5)x^(-1/5).

Now we can use the point-slope form of a line to find the linearization: l(x) = f(a) + f'(a)(x-a), Substituting the values we get: l(x) = f(32) + f'(32)(x-32)
l(x) = (32^(4/5)) + ((4/5)(32^(-1/5)))(x-32)

Therefore, the linearization of the function at a=32 is l(x) = (32^(4/5)) + ((4/5)(32^(-1/5)))(x-32).
To find the linearization L(x) of the function f(x) = x^(4/5) at a = 32, we need to find the equation of the tangent line at that point. The formula for linearization is L(x) = f(a) + f'(a)(x - a).

First, find f(a):
f(32) = (32)^(4/5) = 16, Next, find the derivative f'(x):
f'(x) = (4/5)x^(-1/5)

Now, find f'(a):
f'(32) = (4/5)(32)^(-1/5) = (4/5)(1/2) = 2/5, Finally, plug these values into the linearization formula:
L(x) = 16 + (2/5)(x - 32), So, the linearization L(x) of the function f(x) = x^(4/5) at a = 32 is L(x) = 16 + (2/5)(x - 32).

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Answer:

they can be proven to be congruent as they have 2 sides and 1 angle equal

so they are congruent by SAS rule

Answer:

they are CONGRUENT by S.A.S.axiom.

Answer:

https://youtu.be/R0A-fEUWv1Y

Step-by-step explanation: I found this vid just watch this I hope it helps (just copy and paste)

Answer:

StartFraction 5 over 3.5 EndFraction = StartFraction 12 over x EndFraction

or \(\frac{5}{3.5}\) = \(\frac{12}{x}\)

Step-by-step explanation:

Answer:

it’s D

Step-by-step explanation:

The population of bacteria after 12 days is approximately 12467 cells.

a) To find the population of bacteria at any time t > 0, we need to integrate the given growth rate function N'(t) = 60e^(0.35835t) with respect to time from 0 to t. The initial population is given as 400 cells.

∫(0 to t) 60e^(0.35835s) ds = [60/0.35835 * e^(0.35835s)] evaluated from 0 to t

= [167.296 * e^(0.35835t)] - [167.296 * e^(0.35835 * 0)]

= 167.296 * (e^(0.35835t) - 1)

Therefore, the population of bacteria at any time t is N(t) = 400 + 167.296 * (e^(0.35835t) - 1).

b) To find the population after 12 days, we substitute t = 12 into the equation obtained in part a.

N(12) = 400 + 167.296 * (e^(0.35835 * 12) - 1)

= 400 + 167.296 * (e^(4.3002) - 1)

= 400 + 167.296 * (73.0667 - 1)

= 400 + 167.296 * 72.0667

= 400 + 12067.0834

= 12467.0834

Therefore, the population of bacteria after 12 days is approximately 12467 cells.

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Looking through the options, the answer is option D.

if length of the diagonal is 10 inch then the side will be 5\(\sqrt{2}\) ,

we came to this conclusion by using Pythagoras theorem.

in a square the diagonal intersect each other at right angle so we can apply Pythagoras theorem.

Answer:

Because the side of the triangle forms pythagoras tripple

Line AB = √10

Line BC = 10

Line AC = √90

Step-by-step explanation:

From the question,

In the triangle,

Line AB = √[(8-5)²+(5-6)²]

Line AB = √(3²+-1²)

Line AB = √(9+1)

Line AB = √10

Also,

Line BC = √[(2-8)²+(-3-5)²]

Line BC = √(-6²+(-8)²)

Line BC = √(36+64)

Line BC = √100

Line BC = 10 unit.

Finally,

Line AC = √[(5-2)²+(6+3)²]

Line AC = √(3²+9²)

Line AC = √(9+81)

Line AC = √90.

From the above length of the line in the triangle,

Line AC, Line BC and Line AC are pythagoras triple.

I.e

10² = (√10)²+(√90)²

100 = 10+90

100 = 100.

Note only a a right angle triangle obeys pythagoras theorem.

Therefore, 25.8 hours per employee each week is the mean number of hours worked.

The mean in mathematics is the average value among a group of numbers. It is calculated by adding up all of the set's numbers, then dividing the result by the total number of numbers in the set.

You may calculate the mean, for instance, if you have the set of numbers 2, 4, 6, and 8, by adding them all together and dividing by the total number of numbers:

(2 + 4 + 6 + 8) / 4 = 20 / 4 = 5

Consequently, 5 is the mean of these numbers.

In this instance, a store employed 5 workers for varying shifts. The list displays each individual's hours worked.

14 23 26 40 26

We add up all of these numbers and divide by the total number of numbers to determine the mean:

(14 + 23 + 26 + 40 + 26) / 5

= 129 / 5 mean of the numbers of hours worked by the employees = 25.8

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True or false: a dot diagram is useful for observing trends in data over time.

The given statement "True or false: a dot diagram is useful for observing trends in data over time" is true.

A dot diagram is useful for observing trends in data over time. A dot diagram is a graphic representation of data that uses dots to represent data values. They can be used to show trends in data over time or to compare different sets of data. Dot diagrams are useful for organizing data that have a large number of possible values. They are useful for observing trends in data over time, as well as for comparing different sets of data.

Dot diagrams are useful for presenting data because they allow people to quickly see patterns in the data. They can be used to show how the data is distributed, which can help people make decisions based on the data.

Dot diagrams are also useful for identifying outliers in the data. An outlier is a data point that is significantly different from the other data points. By using a dot diagram, people can quickly identify these outliers and determine if they are significant or not. Therefore The given statement is true.

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Answer:

d

Step-by-step explanation:

cause 9-2 is 7 so your answer is d

Answer:

30 3/5

Step-by-step explanation:

17 divided by 5/9

Convert 17 into 17/1

Use Keep Change Flip

Keep 17/1

Change divide to multiply

Flip 5/9 to 9/5

so 17/1 times 9/5

17*9 is 153

1*5 is 5

so 153/5, simplify and you get 30 3/5

Answer: 153/5

Step-by-step explanation:

17 / 5/9 =

17 * 9/5 =  ==> dividing by a number is equal to multiplying by the reciprocal

153/5

Answer:

y-intercept=8/7

x-intercept=4

Step-by-step explanation:

y=(8-2x)/7

=8/7-2/7x

Therefore y-intercept =8/7,

Subt.y=0,

8/7-2/7x=0

2/7x=8/7

x intercept=4

\(\\ \sf\longmapsto 2x+7y=8\)

\(\\ \sf\longmapsto 2x+7(0)=8\)

\(\\ \sf\longmapsto 2x=8\)

\(\\ \sf\longmapsto x=4\)

\(\\ \sf\longmapsto 2(0)+7y=8\)

\(\\ \sf\longmapsto 7y=8\)

\(\\ \sf\longmapsto y=\dfrac{8}{7}\)

Answer:

as per my nowledge ans wud be b

as A means difference of highest and lowest

C means value appearing frequently

D means middle number or ascending or descending sequence

beainliest plz

Answer:

b

i dont want brainlist

Step-by-step explanation:

Answer:

36 yards = 1,296 inches.

The volume of the platform is 120 ft³

The volume of the cuboid = L × B × H

L = length of the cuboid = 12 ft.

B = breadth of the cuboid = 3 ft.

H = height of the cuboid = 2 ft.

The volume of the cuboid = 12 × 3 × 2

The volume of the cuboid = 72 ft³

The volume of the small cuboid =  L × B × H

L = length of the small cuboid = 4 ft.

B = breadth of the small cuboid = 4 ft.

H = height of the small cuboid = 3 ft.

The volume of the small cuboid =  4 × 4 × 3

The volume of the small cuboid =  48 ft³

Total volume =  The volume of the small cuboid + The volume of the cuboid

Total volume = 120 ft³

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The question is incomplete the complete question is :

We have that density is the ammount of mass in a given space, from that we get:

Where p is density, we have that the density of the substance is 1.1 gram per cubic centimiter.

Answer:

\((f-g)(x) =3^x + 5x + 3\)

Step-by-step explanation:

\(f(x) = 3^x + 10 x\\g(x) = 5x -3 \\(f-g)(x) = f(x) - g(x)\\\)

              \(=(3^x + 10 x) - (5x-3)\\=3^x + 10 x- 5x + 3 \\=3^x + 5x + 3\)