Jamal invests money in an account paying a simple interest of 7% per year. If no money will be added or removed from the investment, what should he multiply his current balance by to find his total balance in a year in one step?

40m  is the sound concentrated after reflection from the back wall of the niche.

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.

                           Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

with radius 2.60m , the cylindrical wall is a highly efficient mirror  for sound , with focal length

     f = R/2 = 2.60/2 = 1.30

in  a vertical plane the sound disperses as usual butthat radiated in a horizontal plane is concentrated in a soundimage at a distance q from the back of niche ,

so 1/p+1/q = 1/f

 so 1/1.70 +1/q = 1/1.3

  1/q = 1/1.3 - 1/1.70

 q = 40m

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By distributive property for real numbers, the expression (- 4 + v + 4 · x) · (- 6) is equivalent to the expression 24 - 6 · v - 24 · x.

In real algebra, distributive property is an algebraic property where a real number is "distributed" on every term of a sum of real numbers. This property is described below:

c · (a + b) = a · c + b · c

Where a, b, c are real numbers.

Now we proceed to use distributive property in the following case. First, write the entire expression:

(- 4 + v + 4 · x) · (- 6)

Second, apply distributive property:

(- 6) · (- 4) + (- 6) · v + (- 6) · (4 · x)

Third, use associative property:

(- 6) · (- 4) + (- 6) · v + [(- 6) · (4)] · x

Fourth, use sign laws and multiply on each term:

24 - 6 · v - 24 · x

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Answer:

see below  : -0.0492

Step-by-step explanation:

-6*-6-3/10*-67=-33/670 = -0.0492

The mean number of accidents that would be expected to be more than 7 accidents is 0.6554.

By dividing the sum of the given numbers by the entire number of numbers, the mean—the average of the given numbers—is determined.

A statistical measurement known as the Z-score indicates how closely a value relates to the mean of a collection of values. The Z-score is calculated using standard deviations from the mean. When a data point's Z-score is 0, it means that it has the same score as the mean. One standard deviation from the mean would be indicated by a Z-score of 1.0.

Given that mean is 6.4 and the standard deviation is 1.5.

The z score is used to determine the accidents:

z = 7 - 6.4 / 1.5

z = 0.4

Using the table of normal distribution we have, P(x > 7 ) = P(z > 0.4) = 0.6554

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The equation for the line of best fit that predicts how much money travelers will spend in 2008 is y = 20x + 320.

What is the equation of the line?

The equation y = mx + c is the general equation of any straight line where m is the gradient of the line (how steep the line is) and c is the y-intercept (the point at which the line crosses the y -axis).

This is a linear function,

let's say the equation is y =ax + b,

the points (1.5, 350) and (4, 400)

a = (400-350) /(4 - 1.5)

= 50/2.5

= 20

y = 20x + b,

350 = 20(1.5) + b

350 = 30 + b

350 -30 = b

b = 320

y = 20x + 320

so, in 2008,

x =15,

y = 20(15) + 320 = 300 + 320 = 620

Hence, the equation for the line of best fit that predicts how much money travelers will spend in 2008 is y = 20x + 320.

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If the number of flu patients at the school is modelled by the equation [tex]F=10e^{0. 12d}[/tex] , then the number of days that it will take for the number of patients to reach 50 is 13 days .

The Exponential Growth equation is given as : [tex]F=10e^{0. 12d}[/tex] ;

We have to find How many days will it take for the number of new flu patients to equal 50 .

So , we substitute the value [tex]F=50[/tex] in the model equation ;

we get ;

⇒ [tex]50 = 10e^{0. 12d}[/tex] ;

dividing both side by 10 ,

we have ;

⇒ [tex]5=e^{0. 12d}[/tex] ;

taking [tex]\ln[/tex] on both sides ,

⇒ [tex]\ln 5 = 0.12d(\ln e)[/tex]   ,....we know that [tex]\ln e = 1[/tex] ;

⇒[tex]d= \frac{\ln 5}{0.12}[/tex] ⇒ 13.41198 ;

≈ 13 days .

Therefore , it will take 13 days for the number of patients to reach 50 .

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On solving the provided question, we can say that  D, diameter pizza will produce the largest slice is 16

Any straight line segment with an endpoint on the circle and that travels through its center is considered a circle's diameter in geometry. The longest chord of a circle is another way to describe it.

Let r be the radius and  be the angle of a circle.

According with the graph, the area of the sector is given by

A = 1/2r^2∅

The arc length of a circle with radius r  and angle∅   is r∅

The perimeter of the pizza slice is composed of two straight pieces, each of length r inches, and an arc of the circle which you know has length s = rθ inches. Thus the perimeter has length

The perimeter of the pizza slice is composed of two straight pieces, each of length r inches, and an arc of the circle which you know has length s = rθ inches.

Thus the perimeter has length

2r + r∅ = 32 in

r∅ = 32 - 2r

∅ = 32- 2r / r

Now,

A = 1/2r^2[32- 2r / r]

A = 16r - r^2

A' = 16 - 2r 16 -2r = 0

r = 8

A" = -2

so, D, diameter pizza will produce the largest slice is 16

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Given line equation y=x+2

Compare above equation with slope intercept form y=mx+b

slope m=1 and y-intercept=(0,2)

Here it is line equation graph

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Line is not parallel to line because no scaling from point can transform triangle into triangle.

Line is not parallel to line because there is no transformation that can send triangle to triangle. A transformation is a function that changes the location, size, or orientation of an object. A dilation of a shape is a transformation that changes its size, either making it larger or smaller, but does not change its orientation. To determine if two lines are parallel, one must consider if a dilation from a point can send one line to the other. In this case, there is no dilation from point that can send triangle to triangle, so line is not parallel to line.

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Answer:

i think line b is the best fit

Step-by-step explanation:

hii friend

The answer of the given conditions is 255/3 =83, 368/16 = 23 and 2 210/65 = 34.

What are the numerator and denominator?

For example, 4/5 is a fraction, and the line separating the numbers 4 and 5 is the fraction bar. Here the number above the fraction bar is the numerator, and the one below the fraction bar is the denominator. A numerator represents the number of parts out of the whole, which is the denominator.

3 divided by 255 is equal to 3/255.

16 divided by 368 is equal to 16/368.

65 divided by 2 210 is equal to 65/2210.

Note that for 2 and 3 the numerator and denominator have been swapped and the division is not correct, it should be 368/16 = 23 and 2 210/65 = 34

Hence, the answer of the given conditions are 255/3 =83, 368/16 = 23, and 2 210/65 = 34.

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Answer:

1/ 14^4

Step-by-step explanation:

Rules of Exponents

We know that a^-b = 1/a^b

14^-4  = 1/ 14^4

Answer:

[tex]{14}^{ - 4} = \frac{1}{ {14}^{4} } [/tex]

Step-by-step explanation:

To find the answer for this, you have to follow the negative rule of exponents.

That is,

1) If the number with a negative power is in it's numerator, the number with a negative exponent should be put to the denominator and make the power positive.

2) If the number with a negative power is in it's denominator, the number with a negative exponent should be put to the numerator and make the power positive.

Here, we have follow the rule 1.

Ex:

[tex] {a}^{ - n} = \frac{1}{ {a}^{n} } [/tex]

Accordingly, let us find the answer for the question.

[tex] {14}^{ - 4} = \frac{1}{ {14}^{4} } [/tex]

m = the slope of the curve at x=3 and b = the y-intercept at x=3. Therefore, the approximate value of y at x=2

We can use the local linearization of the curve to approximate the value of y at x=2.

The local linearization of the curve is given by the equation y = mx + b, where m is the slope of the curve at x=3 and b is the y-intercept at x=3.

Let m be the slope of the curve at x=3 and b be the y-intercept at x=3.

The slope of the curve at x=3 can be found by calculating the derivative of the curve at x=3.

The y-intercept at x=3 can be calculated by substituting x=3 into the equation of the curve and solving for y.

Therefore, m = the slope of the curve at x=3 and b = the y-intercept at x=3.

Substituting the values of m and b into the equation of the local linearization, we get the equation y = mx + b.

Substituting x=2 into the equation, we get y ≈ 0.5 + 1 = 1.5.

Therefore, the approximate value of y at x=2

The local linearization of the curve can be used to approximate the value of y at x=2. Substituting x=2 into the equation, we get y ≈ 1.5, which is the approximate value of y at x=2.

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Answer:

Let x be the number of sweets that Ryan has.

Since the ratio of the number of sweets Mary has to the number Ryan has is 3:2, we can say that Mary has 3/2*x sweets.

We know that if Mary gave 5 sweets to Ryan they would have the same number of sweets, so we can write the following equation:

3/2*x -5 = x

By solving this equation, we can find that x = 10. So, Ryan has 10 sweets

Therefore, Mary has 3/2*10 = 15 sweets.

Altogether, Mary and Ryan have 15+10 = 25 sweets.

Answer: 25

Step-by-step explanation:

3x - 5 = 2x, so

x = 5.

And 5x = 5*5 = 25

The number of minutes per mile that Lin does ride will be 8 minutes per mile.

Lin rides at a speed of 6 miles / 48 minutes = 0.125 miles per minute. For us to convert this to minutes per mile, we have to take the reciprocal of this value, which is 1 / 0.125 = 8 minutes per mile.

To convert speed from miles per minute to minutes per mile, you can take the reciprocal of the value which means is the upside value and top. In this case, 0.125 miles per minute to minutes per mile is 8 minutes per mile.

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Answer: ANSWERS BELOW

Step-by-step explanation:

Part A.

At time = 1 hour, k(x) = 6 and f(x) = 4.

At time = 2 hours, k(x) = 12 and f(x) = 8.

At time = 3 hours, k(x) = 18 and f(x) = 12.

At time = 4 hours, k(x) = 24 and f(x) = 16.

- - -

Part B.

Katherine travels farther within 4 hours. She travels 24 miles in 4 hours, which is 8 more than Julio travels.

- - -

Part C:

The function k(x) has a greater slope. It has a slope of 6, while k(x) has a slope of 4.

The compound proposition defined by implication is: If 2 · x + 5 = 5, then the value of x is 0.

Propositions are logical constructions that contains a truth value. Proposition can be simple or composite, that is, the result of combination between simple propositions by use of operators. In this case we find a composite proposition formed by two simple propositions and a logic operator (an implication):

α ⇒ β

Where:

If the antecedent is true, then the consequent must be true. If 2 · x + 5 = 5, then we must clear x within the equation to determine a value such as composite proposition becomes true:

2 · x + 5 = 5

2 · x = 0

x = 0

The statement presents several mistakes and is incomplete. Correct form is presented below:

Complete this proposition:

If 2 · x + 5 = 5, then the value of x is ___________.

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The first 4 terms and the 10th term of the sequences are listed below

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

Calculate the first 4 terms and the 10th term.

A)n^2+6

Here, we have

First = 1^2 + 6 = 7

Second = 2^2 + 6 = 10

Third = 3^2 + 6 = 15

Fourth = 4^2 + 6 = 24

Tenth = 10^2 + 6 = 106

B)3n^2

Here, we have

First = 3 * 1^2 = 3

Second = 3 * 2^2 = 12

Third = 3 * 3^2 = 27

Fourth = 3 * 4^2 = 48

Tenth = 3 * 10^2 = 300

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Answer:

multiply 16-y this is correct

Step-by-step explanation:

it is a square.

so, all sides are equally long.

that means e.g.

y - 3 = 2y - 11

-3 = y - 11

8 = y

and then

3x - 10 = 3y - 19 = 3×8 - 19 = 24 - 19 = 5

3x = 15

x = 15/3 = 5

so the length of all 4 sides is by using e.g.

y - 3 = 8 - 3 = 5

each side is 5 units long.

Answer:

.

Step-by-step explanation:

The value of the expression 3.10(9 + 1)²2 is 620.

The abbreviation PEMDAS is used to indicate the sequence of steps to be taken when resolving expressions with multiple operations. P is for "parentheses," E is for "exponents," M is for "multiplication," D is for division, A is for addition, and S is for subtraction.

Given:

An expression,

3.10(9 + 1)²2.

Solving the expression by the help of PEMDAS,

First, we solve the parenthesis,

3.10(10)²2

= 3.10 x 100 x 2

Now, applying multiplication,

3.10 x 100 x 2,

= 620

Therefore, the value is 620.

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Answer:

Step-by-step explanation:

77-31=46

46/2=23

since layla is 31 years older add the 31 to 23 to get her age which is 54.

julia =23

layla=54

to check add their ages: 23+54=77

yes thats right since they have a difference of 31 (54-23=31)

The requried value of 'a' in the given expression is a = -12.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
8⁻⁵⁵ / 8ᵃ = 8⁻⁴³
8ᵃ = 8⁻⁵⁵ / 8⁻⁴³
8ᵃ = 8 ⁻⁵⁵ ⁺ ⁴³
8ᵃ = 8⁻¹²

Taking logs on both sides
a ln 8 = -12 ln 8   [lnbˣ = x lnb]
a = -12

Thus, the requried value of 'a' in the given expression is a = -12.

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An inconsistent system is a set of equations that have no solution.

Consider the following as the lines' equation:[tex]p_1x+q_1y+a_1=0 , p_2x+q_2y+a_2=0[/tex]

We can start analyzing the equations of lines and evaluating their various properties now that we understand how to display points on a coordinate plane and graph linear equations. The common forms for writing linear equations and the characteristics of lines that can be inferred from their equations are covered in this section.

If both lines are parallel to one another, there is no answer because the lines never cross.

In such a circumstance, the pair of linear equations in two variables is considered to be inconsistent because algebraically, [tex]\frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2}[/tex].

For example, line of equations are

[tex]2x-y=4\\\\4x-2y=8[/tex]

[tex]\frac{a_1}{a_2}=\frac{2}{4}=\frac{1}{2}\\\frac{b_1}{b_2}=\frac{1}{2}\\\frac{c_1}{c_2}=\frac{4}{8}=\frac{1}{2}[/tex]

Here, both equation has no solution so equation are called inconsistent equation.

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Answer:

No.

Step-by-step explanation:

An integer, by definition, is a whole number.

The given number, -48.29, is a decimal number, implying that it is not whole. Therefore, -48.29 is not a integer.

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Explanation:

The two interior angles 55 and 6x+8 add to the exterior angle 14x-1; this exterior angle is not adjacent to the interior angles mentioned.

Refer to the Remote Interior Angle Theorem for more information.

So,

55+(6x+8) = 14x-1

6x+63 = 14x-1

6x-14x = -1-63

-8x = -64

x = -64/(-8)

x = 8

Then we can determine angle T

angle T = 6x+8 = 6*8+8 = 56 degrees

Answer: -4.2

Step-by-step explanation:

=1-6+0.8

=-4.2

Answer: d=162km

Step-by-step explanation:

the equation of this question is:

speed = distance / time

s=d/t

18=d/9

d=18*9

d=162km

The area of a triangle is Area = sqrt(s(s-x)(s-y)(s-c)).

The area of a triangle can be found using the Heron's formula if we know the lengths of all three sides, or using the formula (1/2) * x * y if we know the lengths of two legs and the triangle is a right triangle.

In the case where the legs of the triangle are x and y long, if we don't know if the triangle is a right triangle, we can't use the formula (1/2) * x * y. However, we can use Heron's formula to calculate the area. Heron's formula states that the area of a triangle is equal to the square root of s(s-a)(s-b)(s-c), where s is the semi-perimeter of the triangle and a, b, and c are the lengths of the three sides.

In this case, since we know the lengths of the two legs x and y, we can find the area of the triangle using Heron's formula as follows:

s = (x + y + c)/2

Area = sqrt(s(s-x)(s-y)(s-c))

Where c is the length of the hypotenuse of the triangle, this information is not provided, so we cannot calculate the area of the triangle.

Therefore, The area of a triangle is Area = sqrt(s(s-x)(s-y)(s-c)).

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Yes, the ordered pairs (child number, amount paid) represent a function.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

Number of children = 20

Cost per children = $2

Now,

The ordered pairs are:

(1, 2), (2, 4), (3, 6), (4, 8), (5, 10), (6, 12), (7, 14), (8, 16), (9, 18), (10, 20),

(11, 22), (12, 24), (13, 26), (14, 28), (15, 30), (16, 32), (17, 34), (18, 36), (19, 38), (20, 40)

The ordered pairs are a function.

A function can be one-to-one or many-to-one but not one-to-many.

We see that the ordered pairs are one-to-one.

Thus,

The ordered pairs are functions.

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