On the first day of spring, an ențire field of flowering trees blossoms. The population of locusts consuming these flowers rapidly increases as the trees blossom. The relationship between the elapsed time, t, in days, since the beginning of spring, and the total number of locusts, Nday (t), is modeled by the following function: Nday (t) = 300.(1.2)^t
Complete the following sentence about the weekly rate of change in the locust population.
Round your answer to two decimal places.
Every week, the number of locusts grows by a factor of

An equation of the line in slope-intercept form that is perpendicular to line g and passes through the point (1, −2) is y = 3x - 5.

Mathematically, the standard form of the equation of a straight line (slope-intercept form) is given by this mathematical expression;

y = mx + c

Where:

From the information provided, we have the following points on line g:

Point = (-3, 6)

Point = (0, 5)

Next, we would determine the slope of line g as follows;

Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope, m = (y₂ - y₁)/(x₂ - x₁)

Slope, m = (5 - 6)/(0 - (-3))

Slope, m = -1/3

In Mathematics, a condition that must be met for two lines to be perpendicular is given by:

m₁ × m₂ = -1

-1/3 × m₂ = -1

m₂ = 3

At point (1, -2), an equation of this line can be calculated in slope-intercept form as follows:

y - y₁ = m(x - x₁)

y - (-2) = 3(x - 1)

y + 2 = 3x - 3

y = 3x - 3 - 2

y = 3x - 5

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The points to be graphed are (6, 0) and (0, 3). The graph of the equation is shown in the attached image

y = - 1/2x + 3

In order to graph the equation of the line:

First, find the value of x when y = 0:

y = - 1/2x + 3 , when y = 0:

0 = - 1/2x + 3

1/2x = 3

x = 3 × 2

x = 6

Also, find the value of y when x = 0:

y = - 1/2x + 3, when x = 0:

y = - 1/2(0) + 3

y = 3

Therefore,  the values to be plotted on our graph are (6, 0) and (0, 3). The image of the graph is attached

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Step-by-step explanation:

I'm pretty sure it's 19200? or maybe im writing is wrong

Answer:

After 24 years population of the city will be 27000.

exponential function.

Step-by-step explanation:

in picture

Format in the example are Surds on the page above in own word is [tex]36z^{15} ,\ 100,\ 9^7,\ and \ 6r^3\\[/tex]

Surds are the root values for which there is no whole number representation. Indices represent the exponent or power of a value. For instance, the base is 3 and the index is 2 for the number 32. the index being 3/2.

These are the surds rules:

1) [tex](2z^3)^5=32^{15}[/tex]

2)  [tex]\sqrt[3]{1000*1000}=100[/tex]

3) [tex]\frac{9^{3} }{9^{-4} } = 9^7[/tex]

4) [tex](6r^{-3}) ^{-1} = 6r^3[/tex]

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2 copies of 1/10 can be written as 2/10

A fraction represented with its quotient and remainder is a mixed fraction. For example, 2 1/3 is a mixed fraction, where 2 is the quotient, and 1 is the remainder. So, a mixed fraction is a combination of a whole number and a proper fraction.

Given here 2 copies of 1/10 thus 2×1/10=2/10

                                                                =1/5

Hence, 2 copies of 1/10 can be written as 2/10

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Answer: To determine whether the distance the puck travels per second is constant, we can use the concept of average speed. Average speed is defined as the total distance traveled divided by the time it takes to travel that distance.

If the average speed is constant, then the distance the puck travels per second is also constant. If the average speed is not constant, then the distance the puck travels per second will vary.

To determine the average speed, we need to know the total distance traveled and the time it took to travel that distance. Once we have this information, we can calculate the average speed by dividing the total distance traveled by the time it took to travel that distance. If the resulting value is constant, then the distance the puck travels per second is also constant.

Step-by-step explanation:

The given function will be represented by a straight line graph, as shown below in the attachment.

On a coordinate plane, functions can be graphed. To graph a function, first select several input values and compute the outputs. The x value is the independent variable, and the y value is the dependent variable. Plot the points and connect them with a line or a curve, depending on whether the function is linear or curvilinear.

Linear functions are written as y = mx + b, where m is the slope of the line and b is the y-intercept. A linear function's graph is a straight line that represents a constant rate of change between two variables. All other functions are curvilinear or non-linear.

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Answer: The answer is 29,446,941,856

Step-by-step explanation:

Answer:

[tex] \sf \: a) \: 1[/tex]

Step-by-step explanation:

Given values of variables,

→ e = 3.2

→ d = 10

→ u = 7

The problem needed to solve is,

[tex] \sf \rightarrow \: \frac{ue}{eu} [/tex]

Let's solve the problem,

[tex] \sf \rightarrow \: \frac{ue}{eu} [/tex]

[tex] \sf \rightarrow \: \frac{(7 \times 3.2)}{(3.2 \times 7)} [/tex]

[tex] \sf \rightarrow \: \frac{22.4}{22.4} [/tex]

[tex] \sf \rightarrow \: \frac{1}{1} = 1[/tex]

Hence, option (a) is correct.

Answer:

Option A ) 1

Step-by-step explanation:

[tex]\frac{ue}{eu} = \frac{3.2X7}{7X3.2} = \frac{22.4}{22.4} = 1[/tex]

Hence , Option A ) is the answer

Answer:

62 degrees.

Step-by-step explanation:

I think this because it appears that ABC makes a 90 degree angle and I would think that you would just subtract 28 from 90 and get 62.

Hope it helps! =D

Jahnay is making 6.5 cakes from the given ingredients.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

Recipe: Makes 1 Cake =  120 g sugar + 130 g butter + 260 g flour + 3 eggs.

Jahnay is following this recipe to make cakes.

Jahnay uses 780 g of butter.

To find the number of cakes:

Use division operation,

780 ÷ 120,

= 780/120

= 78/12

= 6.5

Therefore, Jahnay makes 6.5 cakes.

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The value of the expression 8x² + 6x - 8 below when x=2 is 36.

The expression can be evaluated by following the steps below:

8x² + 6x - 8 in x = 2 means that the variable x will be replaced by the given number which is 2.

8*2² + 6*2 - 8

8*4 + 12 - 8

32 + 16 - 8 = 36

This therefore means that when x= 2 in 8x² + 6x - 8 , the value gotten will be 36.

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Answer: The correct answer is C. Jana has a higher ratio of hits to total attempts, so she has a better batting average. This can be calculated by dividing the number of hits by the number of attempts: Jana's batting average is 7/10 = 0.7, and Tasha's batting average is 10/16 = 0.625. Since 0.7 is greater than 0.625, Jana has a higher batting average.

The solution that (4, 10) represents is that Jim purchased 4 iced teas and 10 soft pretzels at a cricket game.

The equation that describes the relationship between the

number of iced teas and the number of soft pretzels purchased is;

3x + 2y = 32

Where;

x represents the iced teas.

y represents soft pretzels at a cricket game

Now, we are told that the ordered pair (4, 10) is a solution of the equation. This means that;

x = 4 and y = 10 is a solution.

What it means is that Jim purchased 4 iced teas and 10 soft pretzels at a cricket game

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Answer:

3.5m(3m + 1.8)

10.5m^2+6.3m

Step-by-step explanation:

The third term of the geometric sequence will be 8/3.

A series of non-zero integers where every term after the first is obtained by increasing the one before it by a constant, non-zero value known as the scale factor.

Let a₁ be the first term and r be the common ratio.

Then the nth term of the geometric sequence is given as,

aₙ = a₁ · (r)ⁿ⁻¹

The equation is given below.

aₙ = (2/3) · (-2)ⁿ⁻¹

The third term of the geometric sequence will be given as,

a₃ = (2/3) · (-2)³⁻¹

a₃ = (2/3) · (-2)²

a₃ = (2/3) · (4)

a₃ = 8 / 3

The third term of the geometric sequence will be 8/3.

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Answer:

2/15 6/15 8/15 9/15 12/15

Step-by-step explanation:

Answer: 2/15, 6/15, 8/15, 9/15, 12/15.

Step-by-step explanation:

Just treat the denominators like they are not there for now, and treat the numerators like they are whole numbers and then rearrange:

8, 2, 9, 6, 12

Now rearrange from smallest to largest:

2, 6, 8, 9, 12

Now just put the denominators back in under the arranged numbers:

2/15, 6/15, 8/15, 9/15, 12/15

Words and their definitions:

Numerator: Top part of the fraction

Denominator: Bottom part of the fraction

The required measure of the value of x is given as 2√3. Option A is correct.

These are the equation that contains trigonometric operators such as sin, cos.. etc. In algebraic operations.

here,
Consider the given triangle,

perpendicular = 6
base = x

Applying trigonometric operation,
tan30 = perpendicular/base
tan30 = 6/ x
x = 6/√3
x = 2√3

Thus, the required measure of the value of x is given as 2√3. Option A is correct.

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The value of 10% as a fraction and a decimal will be 1/10 and 0.1.

From the information, we want to write the percentage as a fraction as well as a decimal. A percentage simply has to do with the a value or ratio which can be stated as a fraction of 100.

10% as a fraction will be calculated by dividing 10 by 100. This will be:

= 10 / 100

= 1 / 10

10% as a decimal will be calculated by dividing 10 by 100 and giving it in decimal form.

= 1/10

= 0.1

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. Complete question

Write 10% as a fraction and a decimal

Luca's average trip will be 58 miles per hour.

Speed is the rate at which an object's location changes in a particular direction. The distance traveled on relation changes to a particular direction. The distance in relation to the time it took to travel the distance is the speed. It's a scalar quantity.

In this case, it took Luca 8 hours to drive 464 miles from Richmond VA to Cleveland, OH. In miles per hour, Luca's average trip will be:

= Distance / Time

= 464 / 8

= 58 miles per hour.

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The perimeter of the rectangle is 19n + 7.

A rectangle is a quadrilateral with opposite sides equal to each other and opposite sides parallel to each other.

The perimeter of a rectangle is the sum of the whole sides of the rectangle.

Therefore, let's find the perimeter of the rectangle with width of 6n - 3.5 ft and length of 3.5n + 7 ft. Hence,

perimeter of a rectangle = 2(l + w)

where

Therefore,

w = 6n - 3.5

l = 3.5n + 7

Hence,

perimeter of a rectangle = 2(6n - 3.5 +  3.5n + 7)

perimeter of a rectangle = 2(6n + 3.5n - 3.5 + 7)

perimeter of a rectangle = 2(9.5n + 3.5)

perimeter of a rectangle = 19n + 7

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According to the table, the Range of pools sold during this period is 8.

The range in statistics for a given data set is the difference between the highest and lowest values. For example, if the given data set is {2,5,8,10,3}, then the range will be 10 – 2 = 8.

Thus, the range could also be defined as the difference between the highest observation and lowest observation. The obtained result is called the range of observation. The range in statistics represents the spread of observations.

Range = Highest Value – Lowest Value

Range = 18 – 10

Range = 8

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Answer:

Given,eqn is -6x-18y=20

or,-18y=6x+20

or,y=6x+20/-18

or,y=6x/-18 +20/-18

or,y= - X/3 -10/9

Comparing above eqn with y=mx +c,we get

m= -1/3 and y-intercept (c)=-10/9

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Answer:

slope: -1/3  y-int: -10/9

Step-by-step explanation:

first step is to turn the equation into slope intercept form (y=mx+b)

-6x-18y=20

+6x        +6x

-18y=6x+20

divide -18 on both sides

y=-1/3x-10/9

the m is the slope, and the b is the y-intercept

Answer:

x = -11, 2/3

Step-by-step explanation:

-3x^2-11x+2=0

-(3x^2+11x-2) = 0

3x^2 + 11x - 2 = 0

3x^2 + 33x - 22x - 2 = 0  ==> 33-22=11 and 33/11=3 and -22/11=-2

3x(x + 11) - 2(x + 11) = 0  ==> factor

(3x - 2)(x + 11) = 0

3x - 2 = 0                x + 11 = 0

3x = 2                x + 11 - 11 = 0 - 11

{ x = 2/3                         x = -11 } ==> x = -11, 2/3

Answer:

25

Step-by-step explanation:

5x5 = 25

Answer:

25

Step-by-step explanation:

Let's go through our times tables really quick!

5x1 = 5 (5 + 0)

5x2 = 10 (5 + 5)

5x3 = 15 (5 + 5 + 5 [10 + 5])

5x4 = 20 (5 + 5 + 5 + 5 [15 (5x3) + 5)

As we can see, if we know 5x4, we can easily find 5x5! It's just 5x4 + 5

So, 5x5 is 25

Hope this helped!

The best answer is to simplifying each of the identity separately to get the same expression on both sides. Option C

Trigonometric identities are described mathematically as equalities consisting of trigonometric functions that proves true for all the value of occurring variables for which both sides of equality are defined.

These involve certain functions of one, two or more angles.

They also are different from triangle identities, which involves angles and side lengths of a triangle.

To verify a trigonometric identity, we take the following steps;

Hence, the best option is C

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If Twelve out of Sixty students are trying out for the spring musical, the percentage of students trying out for the musical is , 20%.

In essence, percentages are fractions with a 100 as the denominator. We place the percent sign (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100).

The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.

In above question, if Twelve out of Sixty students are trying out for the spring musical, we have,

Number of students trying out for the musical = 12

Total number of students = 60

Percentage of students trying out for the musical is , [tex]\frac{12}{60} *100[/tex] = 20%

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Step-by-step explanation:

please refer to the sketch