The figure below shows a circular lawn. Its diameter is 26ft. 26ft (a) Use the calculator to find the area and circumference of the lawn. Use 3.14 for π in your calculations, and do not round your answers. Make sure to include the correct units. Area: Circumference: (b) Fertilizer will be applied to the lawn. Which measure would be used in finding the amount of fertilizer needed? Circumference Area (c) The lawn will be surrounded by tape. Which measure would be used in finding the amount of tape needed? Circumference Area

Answer:

1 and -5

Step-by-step explanation:

[tex]~~~~~x^3+3x^2-9x+5=0\\\\\implies x^3-x^2+4x^2-4x-5x+5=0\\\\\implies x^2(x-1)+4x(x-1)-5(x-1)=0\\\\\implies (x-1)(x^2 +4x -5) = 0\\\\\implies (x-1)(x^2+5x -x -5) = 0\\\\\implies (x-1)[x(x+5) -(x+5)] =0\\\\\implies (x-1)(x-1)(x+5)= 0\\\\\implies (x-1)^2(x+5) = 0\\\\\implies x = 1,~~ x = -5[/tex]

Supposing a spinner with 8 regions, 3 of which are B, there is a 0.375 = 37.5% probability of spinning a b.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, we suppose a spinner with 8 outcomes, 3 of which are b, hence the probability is given by:

p = 3/8 = 0.375 = 37.5%.

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Answer:

y=2x+24

Step-by-step explanation:

Hi there!

We are given that a line has a slope of 2 and passes through (-7, 10)

We want to write the equation of this line in slope-intercept form

Slope-intercept form is written as y=mx+b, where m is the slope and b is the y-intercept

As we are already given the slope, we can immediately substitute it in for m

So replace m with 2 in y=mx+b

y=2x + b

Now we need to find b

As the equation passes through the point (-7, 10), we can use its values to help us find the value of b

Substitute -7 as x and 10 as y

10 = 2(-7) + b

Multiply

10 = -14 + b

Add 14 to both sides

24 = b

Substitute 24 as b into the equation

y = 2x + 24

Hope this helps!

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The volume of the figure shown in the image which consist of two rectangular prisms is equal to 3300 cubed feet.

To find the volume of the composite figures,

The given figure consist of two figures. Both are rectangular prism in which one has 24 ft length (20+4), width of 5 ft and height of 25 ft.

The area of a rectangular prism is the product of length, width and height of it. Thus, the volume of the upper prism is,

V₁=24×5×25

V₁=3000 ft³

Lower prism has 4 ft length, width of 3 ft (8-5) and height of 25 ft. Thus, the volume of this prism is,

V₂=4×3×25

V₂=300 ft³

Thus, the volume of the figure shown in image is,

V=3000+300

V=3300 ft³

Hence, the volume of the figure shown in the image which consist of two rectangular prisms is equal to the 3300 cubed feet.

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Answer:

The volume is about 1,128.88 cubic cm.

Step-by-step explanation:

[tex] \frac{1}{3} \pi( {7}^{2} )(22) = 1128.88[/tex]

The true statements that can be used to compare the characteristics of the functions are: option B, C, and D.

A function can be defined as a mathematical expression that defines and represents the relationship that exists between two or more variable of a data set.

From the table of values for this discrete function (see attachment), we can deduce the following characteristics and points:

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Lower bound is : 2.70 and upper bound is 3.30

a)There is a 90% probability that the difference of the means is in the interval

b) Since the 90% confidence interval does not contain zero, the results suggest that priming does have an effect on scores.

Critical values are essentially cut-off values that define regions where the test statistic is unlikely to lie; for example, a region where the critical value is exceeded with probability if the null hypothesis is true.

Given that:

a) [tex]n_1[/tex]=200, [tex]x_1[/tex]=23.9, [tex]s_1[/tex]=4.7

   [tex]n_2[/tex]=200, [tex]x_2[/tex]=18.8, [tex]s_2[/tex]=4.5

The (1-α )% confidence interval for the difference between two mean is:

CI= [tex]x_1-x_2\pm\; t_\frac{\alpha }{2},(n_1+n_2-2\sqrt{\frac{s_1^{2}}{n_1}+\frac{s_2^{2}}{n_2} }[/tex]

the Critical value of 't' will be:

α/2=0.05/2=0.025

Degrees of freedom = [tex]n_1+n_2\\[/tex]-2= 200=200-2=398

[tex]t_{\alpha /2,_(n_1+n_2-2)}= t_{0.025,398}[/tex]=1.96

CI=23.9-18.8±1.96 [tex]\sqrt{\frac{4.7^{2}}{200}+\frac{4.5^{2}}{200} }[/tex]

   = 3±0.3089

   = (3.3089,2.6911)

   ≈(3.30, 2.70)

Thus, 90% confidence interval (3.30, 2.70) implies that the true mean difference value is contained in the interval with probability 0.90.

The Lower bound is : 2.70 and upper bound is 3.30

Thus, There is a 90% probability that the difference of the means is in the interval.

b)The difference between means, null value is 0.

As the null value is 0 and not in the interval, which shows that there is a difference between the two means, concluding that priming does have an effect on scores.

Hence,  Since the 90% confidence interval does not contain zero, the results suggest that priming does have an effect on scores.

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Answer:

b d e a im not fore sure tho

Step-by-step explanation:

Answer: 5/52 or 10.4 I think

Step-by-step explanation: 5/52 = 10.4

Answer:

mean: 10.4

mode: 14

median: 13

range: 11

Step-by-step explanation:

To find a mean, add up all the numbers of the data set and divide them by the number of numbers.

To find a mode, just search for the number used the most in the data set.

To find a median, search for the number right in the middle of the data set (if there are 2 numbers in the middle, the median is the average of those 2 numbers.)

To find a range, order all the numbers of the data set from lowest to highest. Then subtract the lowest number from the highest number. :)

Answer:

2715 bacteria

Step-by-step explanation:

This is a simple exponential function. We are given that the initial value is 30, that the value doubles every 4 hours.

Thus, we have our function: [tex]y=30*2^{x/4}[/tex]

Plugging in 26 for x, we get 2715.29004 => 2715 bacteria.

Answer:

1464 square kilometers

Step-by-step explanation:

Understanding :

Year 6 :

Answer:

Step-by-step explanation:

The area must be 232 in^2

Answer:

6cm by 12cm

Step-by-step explanation:

To find a list of the possible dimensions we can factor 72, as the dimensions of the rectangle must multiply to the area of 72

1 * 72

2 * 36

3 * 24

4 * 18

6 * 12

8 * 9

Now we can use the perimeter to find which pair is the correct answer, as the dimensions must satisfy the formula 2(Length + Width) = 36 (our perimeter)

We can see that the dimensions 6 and 12 give us our area of 72, and they do make a rectangle with the perimeter 36. This means that the dimensions of the rectangle are 6cm and 12cm.

Step-by-step explanation:

coco with a smooth kind of drank that's definitely defeats the purse with a polish sausage you get from home depot

Answer:

1/8

Step-by-step explanation:

divide both sides by 3

Step-by-step explanation:

[tex] \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \error \\ \madeindonesia[/tex]

Answer:

45+1/3 (all 1/3 is 1/3 of an hour, so do 60/3 to get 20) meaning that 45+20 is 65 minutes or an hour and 5 minutes

Step-by-step explanation:

Answer: Both are algebra expressions

Step-by-step explanation:

Answer:

172

Step-by-step explanation:

Formula to find the nth term =

a+(n-1)d

2+(35-1)*5

= 2+170

= 172

The value of the given expression will be equal to 441.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

The solution will be given as:-

[tex]\dfrac{9!}{6!}=\dfrac{9\times 8\times 7\times 6!}{6!}[/tex]

[tex]\dfrac{9!}{6!}=9\times 8\timex\times 7=441[/tex]

Therefore the value of the given expression will be equal to 441.

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You roll a fair number of cube. The Probability of P(2 then 2) would be 1/36.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

Here is a complete description You roll a fair number cube to find probability of p(2, then2)

Given the sample space for a die

S = (1, 2,3,4,5,6) = 6

The Probability of 2 then 2 = (1/6) x (1/6)

= 1/36

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Answer
5^- 7=X 5^- 9 X = 7 9

Answer:

45 minutes

Step-by-step explanation:

distance / rate = time

27 miles / 36 miles/hr = .75  hr    ( 45 minutes )  

Answer:

Step-by-step explanation:

Given equation

The roots are

Substitute values into equation

This is matching the option B

Answer:

[tex]x=\dfrac{3 \pm \sqrt{29}}{2}[/tex]

Step-by-step explanation:

Given equation:

[tex]x^2-3x-5=0[/tex]

To find the exact solutions of the given equation, use the quadratic formula or complete the square.

Method 1:  Quadratic Formula

[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0[/tex]

Therefore:

[tex]a=1, \quad b=-3, \quad c=-5[/tex]

Substituting these values into the formula:

[tex]\implies x=\dfrac{-(-3) \pm \sqrt{(-3)^2-4(1)(-5)} }{2(1)}[/tex]

[tex]\implies x=\dfrac{3 \pm \sqrt{29}}{2}[/tex]

Method 2:  Completing the square

Move the constant to the right side by adding 5 to both sides:

[tex]\implies x^2-3x-5+5=0+5[/tex]

[tex]\implies x^2-3x=5[/tex]

Add the square of half the coefficient of x to both sides:

[tex]\implies x^2-3x+\left(\dfrac{-3}{2}\right)^2=5+\left(\dfrac{-3}{2}\right)^2[/tex]

[tex]\implies x^2-3x+\dfrac{9}{4}=\dfrac{29}{4}[/tex]

Factor the perfect trinomial on the left side:

[tex]\implies \left(x-\dfrac{3}{2}\right)^2=\dfrac{29}{4}[/tex]

Square root both sides:

[tex]\implies \sqrt{\left(x-\dfrac{3}{2}\right)^2}=\sqrt{\dfrac{29}{4}}[/tex]

[tex]\implies x-\dfrac{3}{2}=\pm\dfrac{\sqrt{29}}{2}[/tex]

Add 3/2 to both sides:

[tex]\implies x-\dfrac{3}{2}+\dfrac{3}{2}=\pm\dfrac{\sqrt{29}}{2}+\dfrac{3}{2}[/tex]

[tex]\implies x=\dfrac{3 \pm \sqrt{29}}{2}[/tex]

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[tex] \huge \sf \color{pink}{A} \color{green}{N} \color{red}{S} \color{blue}{W} \color{orange}{E} \color{grey}{R}[/tex]

[tex]\large \underline{ \boxed{ \sf{✰ \: Important \: points }}}[/tex]

[tex] \pink{➢}[/tex] Diameter of cone = 18m

[tex] \pink{➢}[/tex]Height of cone = 20m

[tex] \pink{➢}[/tex]A surface of revolution formed by rotating a segment of a line around another line that intersects the first line.

[tex] \pink{➢}[/tex]Cone is basically formed by circular base

[tex]\underline{ \boxed{ \sf{➫\: Volume\:of\:cone = \frac{1}{3} {r}^{2} \pi \: h}}}[/tex]

[tex]\underline{ \boxed{ \sf{ ➪ \: r = radius}}} \\\underline{ \boxed{ \sf{ ➪ \: h = height}}}[/tex]

[tex] \pink{➢}[/tex] We know that radius is half of diameter

[tex] \sf \:➩ r = \frac{18}{2} \\ \sf \: ➩r = \cancel \frac{18}{2} \\ \sf \: ➩r = 9 \: \: \: [/tex]

[tex] \pink{➢}[/tex]Hence radius of cone in data given is 9m

➢ Let's substitute values according to formula

[tex]\sf \: → \frac{1}{3} \times {(9)}^{2}\times 3.14 \times20 \\ \sf→ \frac{1}{3} \times 81 \times 3.14 \times 20 \\ \sf \: → \frac{1}{ \cancel3} \times \cancel{81} \times 3.14 \times 20 \\ \sf→27 \times 3.14 \times 20 \\ \sf \: →1695.6m[/tex]

[tex] \pink{➢}[/tex] Hence volume of cone =1695.6m

Hope it helps !

Answer:

327.5

Step-by-step explanation:

Answer:

So our goal is to determine the cost per can which we can find by dividing the amount of cans from the cost of the cans.  That would give us the price per can.

[tex]\frac{price}{cans}[/tex]

[tex]\frac{\$6.30}{12\ cans}[/tex]

[tex]\$0.525\ per\ can[/tex]

Hope this helps!  Please let me know if you have any questions