If 21 less than 11 times a number results in 7 times a number decreased by 29, what is the number?.

Answer:

Step-by-step explanation:

The range is [-4, ∞)

Using a graphing calculator (desmos) we can obtain a graph of the following function.

Explanation:

In the graph, we can see that there is a point a -4 and nothing lower, making it our minimum y-value. However, we cannot see an ending for the function; therefore, it is indeterminable and thus, infinity. As for notation. we use the solid bracket because we know the definite point, though because infinity is not definite we just use a parentheses to enclose it.

Answer:

5.7 gal / hour

5.7 gal / 60 min

5.7(16) c / 60 min

(8.1)(8.12 multply by4=263.080

The original Length is, 6500 m.

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Answer:  The standard deviation is 443.6  (rounded up to one decimal place)

Step-by-step explanation:

σ2 = (Σ(xi - μ)^2)/N

= ((3940 - 3682.5)^2 + ... + (4040 - 3682.5)^2)/8

= 1574150/8

= 196768.75

σ = [tex]\sqrt{196768.75}[/tex]  

= 443.58623738795

Frequency Table

Value Frequency

2990 1 (12.5%)

3200 2 (25%)

3810 1 (12.5%)

3940 1 (12.5%)

4040 1 (12.5%)

4140 2 (25%)

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Using the standard z table, a 95% confidence interval for p is (0.5327,0.6173).

In the given question,

A poll is taken in which 302 out of 525 randomly selected voters indicated their preference for a certain candidate.

We have to find a 95% confidence interval for p.

From the question, x=302, n=525

So estimation point,

P=x/n

P=302/525

P=0.575

Now the z value of 95% confidence interval is 1.960 using the standard z table.

Margin of Error (E)=z×√{P(1−P)}/n

Now putting the value

E=1.960×√{0.575(1−0.575)}/525

E=1.960×√(0.575×0.425)/525

E=1.960×√0.244/525

E=1.960×√0.000465

E=1.960×0.0216

E=0.0423

At 95% confidence interval for p is

P−E ≤ p ≤ P+E

Now putting the value

0.575−0.0423≤ p ≤0.575+0.0423

0.5327≤ p ≤0.6173

Hence, a 95% confidence interval for p is (0.5327,0.6173).

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Answer: 13 Hours

Step-by-step explanation:

1. 270/9 = 30 dollars per hour

2. 390/30 = 13 hours

Answer:

6 cats

Step-by-step explanation:

first we can find 2/3 of 18

2/3*18

36/3

12 cats are brown so now since there are 18 cats in total we subtract that from 12 to see how many are not brown

18-12

6 cats are not brown

Hopes this helps please mark brainliest

Answer:

1.) For the first question, the answer is 12

2.) For the second answer, you are correct, the answer is 55

3.) The third answer is 3/2

Step-by-step explanation:

1.) 18x2/3 = 12

2.) 6x8+7 = 55

3.) 1/2 + 1/2 + 1/2 = 3/2 add the numerators (top part of fraction) ONLY and leave the denominators (bottom part of fraction) ALONE.

Hope this helps, please give brainliest!!

Answer:

P=34in

Step-by-step explanation:

just want to help <33333

Answer:34

Step-by-step explanation:34

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

Explanation

Use the pythagorean theorem to find b

a^2+b^2 = c^2

b = sqrt(c^2 - a^2)

b = sqrt(20^2 - 16^2)

b = sqrt(400 - 256)

b = sqrt(144)

b = 12

The missing leg of this right triangle is 12 feet long. This isn't the final answer, but it does lead to the answer. Choice B is a trick answer, so be careful.

We have a right triangle with sides 12, 16 and 20. The perimeter is therefore 12+16+20 = 28+20 = 48 feet which is the amount of fencing needed. The answer is choice D.

Side note: Your teacher mentions the shortest side is 16 feet, but that's clearly not the case since it should be 12 feet instead. This seems like a typo.

Answer:

B )  x = 2 + √2 or x = 2-√2

Step-by-step explanation:

See attachment...

Hope this helps! :)

Step-by-step explanation:

The unit rate per carton is 2

percent change in enrollment from last year students  is

Work out the difference (reduction) between the two numbers you are comparing before calculating the percentage drop. Then, increase the result by 100 after dividing the decrease by the initial number. The outcome expresses the change as a percentage, or the change in percentage.

Last year students =320

This year students =352

We need to find the percent increase in enrollment.

The increase in no of students = 320 -352

= 32

Percentage = (increase/initial no of students) × 100

% =32/352*100

9%

Hence, the percent increase is 9%.

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Yes, monotone is a sequence.

We say that a sequence (xn) is increasing if xn ≤ xn+1 for all n and strictly increasing if xn < xn+1 for all n.

Similarly, we define decreasing and strictly decreasing sequences. Sequences which are either increasing or decreasing are called monotone.

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x is 6.215 km and the total time taken for the whole journey is 3.61 hours.

Boat's speed in still water = u = 4 km/h

Speed of stream = v

Distance between A and B = 5 km

Upstream speed = u - v

                            = 4 - v

Time taken = [tex]T_{1}[/tex] = [tex]\frac{5}{4-v}[/tex]

Downstream speed = x = u + v

                                       = 4 + v

Time taken = [tex]T_{2}[/tex] = [tex]\frac{5}{4+v}[/tex]

According to question,

      [tex]T_{1}= T_{2}+2[/tex]

    [tex]\frac{5}{4-v}=\frac{5}{4+v}+2[/tex]

    [tex]\frac{5}{4-v}=\frac{5+2(4+v)}{4+v}[/tex]

    [tex]\frac{5}{4-v}=\frac{5+8+2v}{4+v}[/tex]

5(4+v) = (13+2v)(4-v)

20+2v = -2[tex]v^{2}[/tex]-5v+52

[tex]2v^{2}+10v-32 = 0[/tex]

[tex]v^{2}+5v-16 = 0[/tex]

v = 2.215 or -7.215

Speed can't be negative.

Therefore, v = 2.215

Upstream speed = 4 - 2.215

                            = 1.785 km/h

Downstream speed = 4 + 2.215

                                 = 6.215 km/h

[tex]T_{2}[/tex] = 5/6.215

    = 0.805 h

[tex]T_{1}[/tex] = 2 + 0.805

   = 2.805 h

Total time = 2.805 + 0.805

                 = 3.61 h

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Answer:

Step-by-step explanation:

c

Answer:

D

Step-by-step explanation:

hope it helped:)

The solution of the fractions six and five eighths times negative one and two fifths is  negative 371 over 40

Fractions are numbers written as a quotient, in which a numerator is divided by a denominator

Given: six and five eighths times negative one and two fifths

6 5/8  x -1 2/5

First, convert each fraction to improper fractions:

6 5/8 = (6 x 8)+4/ 8  = 53/8

-1 2/5 = - ( (1 x 5)+2/ 5 ) = - 7/5

Thus,

6 5/8  x -1 2/5  = 53/8  x - 7/5

                       = - (53 x 7) /(8x5)

                       = - 371/40

Therefore, six and five eighths times negative one and two fifths is negative 371 over 40. The 1st option is the answer

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Answer:

∴ a = -4.61 or 2.61 (to 3sf)

Step-by-step explanation:

      (a + 3)(a - 1) = 3(2 + 1)

  a² + 3a - a - 3 = 3(3)

       a² + 2a - 3 = 9

  a² + 2a - 3 - 9 = 0

      a² + 2a - 12 = 0

[(a + 1)² - 1²] - 12 = 0

       (a + 1)² - 13 = 0

              (a + 1)² = 13

∴ a = -4.61 or 2.61 (to 3sf)

The pair of lines perpendicular to RS are EA and FG.

A flat surface on which a straight line joining any two points on it would wholly lie is known as a plane.

What is plane?

A plane is a point, a line, and three-dimensional space's equivalent in two dimensions.

Main Body:

Given

E,F and G are on plane X. R and S are in both planes X and Y. EA and FG are parallel. AE and FG are vertical lines and are present on plane X. RS is present at the intersection of the 2 planes.

Explanation:

The lines which together could be perpendicular to RS are EA and FG.

We have to first draw both the planes according to the given information in question.

X is a vertical plane so draw a plane vertical on the horizontal plane that is Y plane. Now plot A and F And G in X plane and R,S in such a way that they  are in both plane so they will be at the intersection of both the planes. Now draw lines from A and F to form lines EA and FG.

Hence we can observe that lines EA and FD are perpendicular on line RS.

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The function (equation) that returns Amir's altitude, y, with respect to time, x,  y = -11·x + 440, when differentiated, to find the rate of change of the altitude, indicates that rate at which Amir descended is D. 11 meters per minute

Differentiation is the process or method by which the derivative of a function is found. The derivative indicates the instantaneous rate at which the value of the function changes with respect to the change in the argument of the function.

The equation of the function that gives his altitude relative to the sea level as a function of time is; y = -11·x + 440

The differentiation of the function for the height, y, in terms of the time, x, gives the speed which is the same as the at which Amir descended as follows;

[tex]Speed = \dfrac{dy}{dx} = \dfrac{d}{dx} \left(-11\cdot x+400\right) = -11[/tex]

The speed with which Amir descends is 11 meters per minute

The correct option is D. 11 meters per minute

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Answer:

39mm=6m52/39= 1 1/31 1/3 times 6 meters4/3 times 6/1 = 24/324/3=8The actual length of the living room is 8 meters

Answer:

1

Step-by-step explanation:

4+1=5

5-4=1

Answer:

you have 1 friend

Step-by-step explanation:

you have 4 then you add another

that's 5

then you lose 4

5-4 is 1

The differentiated form of 5 - 2x is -2.

Differentiation

Basically, it is a method of finding the derivative of a function.

Given,

Here we have the expression 5 - 2x.

Now, we have to differentiate operation on it.

In this given expression,

By the Sum Rule, the derivative of 5 − 2x with respect to x is written as,

=> d/dx [5] + d/dx [−2x].

Since 5 is constant with respect to x, the derivative of 5 with respect to x is 0.

So, it can be written as,

=> 0 + d/dx [−2x]

Since −2 is constant with respect to x, the derivative of −2x with respect to x is −2 d/dx [x].

Therefore,

=> 0 − 2 d/dx[x]

Differentiate using the Power Rule which states that 

d/dx [xⁿ] = nxⁿ⁻¹ where n=1.

So,

=> 0 − 2⋅1

Multiply −2 by 1.

=> 0 − 2

Therefore, the resulting value is -2.

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The value of x that makes m || n is x = 20

acc to our question-

Solving this for ''x'' :.

The value of x that makes the opposite inner angles congruents (making 3x° congruent to 2x+20°) is x = 20.

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The statement (B) "the range is (-26, 1)" is TRUE.

So, we have:

The statement is:

Therefore, the statement (B) "the range is (-26, 1)" is TRUE.

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Step-by-step explanation:

9.

we get the extreme values of y (a function) by finding the zeroes of the first derivative (that gives us the x-positions) and then using these x values in the original function.

a quadratic function has only one extreme value (1 less than the degree of the polynomial). but 2 zeroes (exactly the degree of the polynomial) - don't mix these two things up.

as the leading coefficient is positive (1), we know that the parabola is opening upwards, and the extreme value will be the vertex and therefore the minimum.

y = (x + 4)² + 6

y = x² + 8x + 16 + 6 = x² + 8x + 22

y' = 2x + 8

2x + 8 = 0

2x = -8

x = -4

(-4 + 4)² + 6 = 0² + 6 = 6

the smallest possible value of y = 6 (at x = -4).

10.

the intercept form of a parabola equation is

y = a(x - p)(x - q)

p and q are the x-intercept values.

in our case we see p = -3, q = 3.

also, we see the vertex being (0, 9), which we need to get "a".

y = a(x - -3)(x - 3) = a(x + 3)(x - 3)

using the vertex coordinates to get a :

9 = a(0 + 3)(0 - 3) = -9a

a = 9/-9 = -1

so, the quadratic equation is

y = -(x + 3)(x - 3) = -(x² - 9) = -x² + 9

11.

I assume the thinking here is : the flight curve of every falling object is a parabola.

the vertex of this parabola is (0, 36), as x represents the time in seconds, and y represents the height in ft.

the vertex form of a parabola is

y = a(x - h)² + k

with (h, k) being the vertex.

y = a(x - 0)² + 36 = ax² + 36

a must be negative, as the fall parabola opens downwards.

for typical fall situations on Earth a = -g/2 ≈ -16 (g being the gravity constant of 32.17405... ft/s²).

so, we have

y = -16x² + 36

for what x is y = 0 ?

0 = -16x² + 36

16x² = 36

x² = 36/16 = 9/4

x = 3/2 = 1.5

the coin hits the water after 1.5 seconds.

7x - 3 > 24 can be described as an inequality.

An algebraic expression consists of unknown variables, numbers and arithmetic operators.  It does not contain any equality or inequality symbols.

Variables are number represented with a letter in an expression. Numbers includes 1, 2, 3 etc. Basic operators are addition, subtraction, multiplication and division.

An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value.

For example x > y.

Therefore, we can denote 15x -10 as an expression and 7x - 3 > 24 is denoted as an inequality.

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Answer:

1  7/24

Step-by-step explanation:

2/3+ 5/8=  (2 × 8)(3 × 8)+ (5 × 3)(8 × 3) = 16/24+ 15/24=  16 + 15/24=  31/24 =  1 7/24

Answer:1 7/24

Step-by-step explanation:

A pound of banana has its cost to be (c) $0.59

From the question, we have the following parameters that can be used in our solution:

Amount spent on bananas = $3.54 degrees

Number of pounds = 6 pounds

From the above parameter, we can calculate the cost of one pound using the unit rate formula

The unit rate is calculated as

Unit rate = Amount spent on bananas/Number of pounds

Substitute the known values in the above equation

So, we have the following equation

Unit rate = 3.54/6

Evaluate the quotient

Unit rate = 0.59

Hence, the cost of one pound is $0.59

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