Amir is a collector. He currently has 397 rare stamps. Amir wants to double his collection. How many stamps will be in Amir's collection?
stamps

Step-by-step explanation:

the area of a full circle (360°) is

pi×r² = pi×5² = pi×25

a 40° segment is then just 40/360 = 1/9 of the full circle.

so,

pi×r²×1/9 = pi×25/9 = pi×2.777777777...

so, either there is a mistake in the problem description, or your teacher wants you to cut off the decimals (after the decimal point), in which case D would be the right answer.

since our radius is 5, that makes r² always 25.

there are no integer factors I can divide 25 by to create any of the 4 solutions of 16 or I or 4 or 2.

and there is no integer factor I can divide 360 by to get 25.

so, something is wrong here regarding the problem description. either the radius or the angle or the solution options are wrong and not fitting to each other.

Answer:

270

Step-by-step explanation:

5 x 7 x 6= 210

2 x 5 x 6= 60

210 + 60= 270

The required volume of the fish tank is 240 cubic inches. option D is correct.

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

Here,
The requried volume of the figure is given as,
Volume  = height [area of the plot]

Since the area of the plot is given as,
area = area of the left rectangle + area of the right triangle.
area = 5 × 7 + 1/2 × [12-7]×[5-3]
area = 35 + 5
area = 40 square inches.

Volume = 6 [40]

Volume = 240 in³

Thus, the required volume of the fish tank is 240 cubic inches. option D is correct.

Learn more about Volume here:
https://brainly.com/question/1578538

#SPJ3

The frequency of these visible light waves that our eyes see is equal to [tex]4.47\times 10^{-14}\;Hz[/tex]

Wavelength refers to the distance between two (2) successive crests (troughs) of a wave.

Mathematically, the frequency of a wave is given by this formula:

[tex]F = \frac{V}{\lambda}[/tex]

Where:

Substituting the given parameters into the formula, we have;

[tex]F=\frac{3 \times 10^8}{6.7 \times 10^{-7}} \\\\F=4.47\times 10^{-14}\;Hz[/tex]

Read more on frequency here: https://brainly.com/question/19250621

I got -7. I tried probably wrong

4x + 6 = 18

-6 is solution ?

4 * (-6) + 6 = 18 ?

-24 + 6 = - 18

so not the solution

3 is solution ?

4 * 3 + 6 = 18 ?

4 * 3 + 6 = 12 + 6 = 18

YES

Answer:

B. [tex]\displaystyle x = 3[/tex]

Step-by-step explanation:

[tex]\displaystyle 18 = 6 + 4x \hookrightarrow \frac{12}{4} = \frac{4x}{4} \\ \\ \boxed{3 = x}[/tex]

I am joyous to assist you at any time.

Step-by-step explanation:

1/81 gallon for 1/4 mile.

what do I need to multiply 1/81 with to get 1 gallon ?

it is simple, right ? i need to multiply it by 81 to get 1 gallon.

in order to keep the relationship (ratio) unchanged, I need to multiply the other part (1/4 mile) with the same factor :

1/4 × 81 = 81/4 = 80/4 + 1/4 = 20 1/4 miles

so, at this rate, that car can travel 20 1/4 miles using 1 gallon of gas.

The first coefficient is 2 and the last term is 6. They multiply to 2*6 = 12.

Now we must find two factors of 12 that add to 7 (the middle coefficient).

Through trial and error, you should find that:

3*4 = 12

3+4 = 7

So 3 and 4 are the numbers we're after. We'll split the 7m into 3m+4m and use the factor by grouping method as shown in the steps below.

2m^2 + 7m + 6

2m^2 + 3m + 4m + 6

(2m^2 + 3m) + (4m + 6)

m(2m + 3) + 2(2m + 3)

(m + 2)(2m + 3)

(2m + 3)(m + 2)

The order of the factors doesn't matter since something like 2*3 is the same as 3*2.

------------------------------------------------

Verifying the answer:

You can use technology like you did to check the answer, but here's one way to do it without a calculator.

(2m + 3)(m + 2)

n(m + 2) ...... let n = 2m+3

mn + 2n .... distribute

m( n ) + 2( n )

m(2m+3) + 2(2m+3) .... plug in n = 2m+3

m*2m + m*3 + 2*2m + 2*3 .... distribute

2m^2 + 3m + 4m + 6

2m^2 + 7m + 6

We arrive back at the original trinomial, so we have confirmed the answer.

Answer:

Angles 7, 2, and 6

Step-by-step explanation:

       Angle 7 is congruent by corresponding angles to angle 3.

       Angle 2 is congruent by vertical angles to angle 3.

       Angle 6 is congruent by vertical angles to angle 7, which is congruent to angle 3, so angle 3 and angle 6 must also be congruent.

Answer:

7,2,6

Step-by-step explanation:

Answer:

5/6

Step-by-step explanation:

11/12 - 1/12 = 10/12

10 divided by 2 = 5
12 divided by 2 = 6

5/6

Answer:

⅚

Step-by-step explanation:

¹¹/12 - ¹/12 = ¹⁰/12

÷2 →

5/6

Answer:

Likely

Step-by-step explanation:

took the test

Answer:

9:50

Step-by-step explanation:

Answer:

9:50

Step-by-step explanation:

Heres de answer

Answer:

100.32

Step-by-step explanation:

Since the question is asking to INCREASE, you want to multiply 88 by 1.14

This is because a percent is a number multiplied by 100 (For example 0.1 is 10%)

Whenever you want to increase by a percent, you add 100% to the number.

So:

88 * 1.14 =

100.32

Answer:

Prakash is a pilot change into yes no question

Answer:

B, 20

Step-by-step explanation:

The Pythagorean Theorem states that the two shortest lengths in a right triangle (in our case, 12 and 16), is equal to the longest length in a right triangle (c). So,

a²+b²=c²

Substitute 12 and 16 for a and b, our side lengths

12²+16²=c²

144+256=400

400=c²

Square root both c and 400, which gives us...

20=c

So, the value of x is 20.

Using the t-distribution, as we have the standard deviation for the sample, it is found that the p-value is of 0.0009.

At the null hypothesis, it is tested if the students study 20 hours, that is:

[tex]H_0: \mu = 20[/tex].

At the alternative hypothesis, it is tested if they study less than 20 hours, that is:

[tex]H_1: \mu < 20[/tex].

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are:

In this problem, the values of the parameters are given as:

[tex]\overline{x} = 17.7, \mu = 20, s = 3.9, n = 33[/tex].

Hence, the value of the test statistic is:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{17.7 - 20}{\frac{3.9}{\sqrt{33}}}[/tex]

[tex]t = -3.39[/tex]

Using a t-distribution calculator, considering a left-tailed test, as we are testing if the mean is less than value, the p-value is of 0.0009.

More can be learned about the t-distribution at https://brainly.com/question/13873630

Answer:

4.696% (B)

Step-by-step explanation:

13/17 = 0.76470588

12/15 = 0.8

0.8 - 0.76470588 = 0.03529412

0.03529412 /  0.76470588 = 0.04615285

0.04615285 · 100 = 4.61538494

(I rounded 13/17, the closest answer is 4.696)

percentage increase:

final value - starting value / starting value · 100

Answer:

$5.71 a day

Step-by-step explanation:

240/6 = 40

40/7 = 5.71428571429

Round 5.71428571429 = 5.71

Answer:

60.6 cm length

43.2 cm width

Step-by-step explanation:

The scale is 1 m = 6 cm

Take the length in meters, multiply it by 6, and change the unit to cm.

10.1 m becomes 10.1 × 6 cm = 60.6 cm

7.2 m becomes 7.2 × 6 cm = 43.2 cm

Answer:

1st option

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - [tex]\frac{4}{5}[/tex] , then

y = - [tex]\frac{4}{5}[/tex] x + c

to find c substitute (5, 1 ) into the equation

1 = - 4 + c ⇒ c = 1 + 4 = 5

y = - [tex]\frac{4}{5}[/tex] x + 5 ( multiply through by 5 to clear the fraction )

5y = - 4x + 25 ( add 4x to both sides )

4x + 5y = 25 ← in standard form

The concentration of ions in the solution of lemon juice whose pH value is 2.32 is 4.79×10⁻³ M.

The pH value shows that how much a solution is acidic or basic. The range of the pH value lies between the 0-14.

The pH value can be calculated with the following formula.

[tex]\rm pH=log[H^{+}][/tex]

Here, [H⁺] is the molar hydrogen ion concentration.

The pH of lemon juice at 298 K is found to be 2. 32. Put this value of pH in the above formula as,

[tex]\rm 2.32=log[H^{+}]\\\ [H^{+}]=4.79\times10^{-3} \rm \; M[/tex]

Hence, the concentration of ions in the solution of lemon juice whose pH value is 2.32 is 4.79×10⁻³ M.

Learn more about the pH value here;

https://brainly.com/question/940314

Answer:

B ✔️

Step-by-step explanation:

Answer:

i dont know

Step-by-step explanation:

try breaking it into smaller shapes

An equation is formed of two equal expressions. The solution of the equation is w=3.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

In order to solve the equation, we need to isolate the variable in the following manner, therefore, the solution of the equation can be written as,

[tex]6.2w=18.6[/tex]

Divide both sides of the equation by 6.2,

[tex]6.2w=18.6\\\\\dfrac{6.2w}{6.2}=\dfrac{18.6}{6.2}\\\\w = 3[/tex]

Hence, the solution of the equation is w=3.

Learn more about Equation:

https://brainly.com/question/2263981

Answer:

Step-by-step explanation:

The value of measurement of the closest to the height of the mountain cliff in feet is,

⇒ Mountain Height = 360 feet

Given that;

When Donetle stands at point R, he is 1000 feet from point S at the base of a cliff.

And, When he looks up at an angle of 20 degrees, he sees a friend at the top of the mountain cliff at point T

Hence, By graph we get;

⇒ tan 20° = Mountain Height / 1000

⇒ 0.36 = Mountain Height / 1000

⇒ 0.36 × 1000 = Mountain Height

⇒ Mountain Height = 360 feet

Thus, The value of measurement of the closest to the height of the mountain cliff in feet is,

⇒ Mountain Height = 360 feet

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ2

Answer:

k=2

Step-by-step explanation:

[tex](k + 2) {}^{2} - (k - 2)x - 5 = 0[/tex]

If we have two zeroes that are equal in size, but different signs then we have a different of squares,

[tex](a + b)(a - b) = {a}^{2} - b {}^{2} [/tex]

So in order to do this we must make the middle term, x 0 so

[tex]k - 2 = 0[/tex]

[tex]k = 2[/tex]

Answer:

intersect at (-1,-3)

Step-by-step explanation:

y = 4x + 1. the points should be at (0,1) and (-0.25,0) and is an infinite line in both directions.

y = -2x - 5. the points should be at (-2.5,0) and (0,-5) and is an infinite line in both directions.

both the lines meet at (-1,-3) so make a point at that location

Answer:

im lost only because you made this so long

Step-by-step explanation:

The amount of juice by Benito is an illustration of volumes

The amount of juice made is 900 milliliters

The question is incomplete, as the figure and the dimensions are not given.

So, I will give a general solution

Assume the following parameters

The amount of juice would be:

V = πr^2h

This gives

V = 3.14 * 4^2 * 18

Evaluate

V = 904.32

Approximate

V = 900

Hence, the amount of juice made is 900 milliliters

Read more about volume at:

https://brainly.com/question/1972490