Obisa has a radio which uses 18-volt batteries. Each battery has 1.5 volts. How many batteries does he need to use his radio?​

Answer:

1 day = 1440min

so 36min of a day = 36/1440 = 1/40

Answer:

5

___    

y+5

Step-by-step explanation:

first

---->         3y                    2(y+5)

       ---------------------- +   ----------

         (y+2)(y+5)              (y+2)(y+5)  

then

---->   3y+2(y+5)

          ------------

          (y+2)(y+5)

then

---->  3y+2y+10

       ----------

        (y+2)(y+5)

then

-----> 5(y+2)

        ---------

        (y+2)(y+5)

then

-----> 5

     -------

       y+5

Answer:

46.6

Step-by-step explanation:

[tex] {x}^{2} = {33}^{2} + {33}^{2} \\ x = \sqrt{2178} \\ x = 46.6 \: cm[/tex]

Answer:

Below in bold.

Step-by-step explanation:

The population P will increase by a factor of 1.32 each year.

The function is

P = 415(1.32)^t  where t is the time in years.

After 5 years:

P = 415(1.32)^5  = 1663.

Answer:

QR = 5.9

Step-by-step explanation:

QR = √(RP^2 - QP^2)

QR = √((7.6)^2 - (4.8)^2) = √(57.76 - 23.04) = √34.72 ≈ 5.9

Answer:

m=1/7

Step-by-step explanation:

The slope of y=x/3 + 4 is 1/7.

x/3+4 = x/7 so m = 1/7.

Answer:

m = 1/3

Step-by-step explanation:

The equation given is in slope-intercept form, which has the basic structure:

y = mx + b

In this equation, "m" is the slope and "b" is the y-intercept.

The value of "b" is 4.

The value of "m" is 1/3. This is because (x/3) is the same as (1/3 times x).

Answer:

from what i got it is 65% have terriers

Step-by-step explanation:

13 / 20 = 0.65 meaning there is 65%

Hope This Helped

The statement first “the class boundaries would change" is the correct.

Statistics is a mathematical tool defined as the study of collecting data, analysis, understanding, representation, and organization. Statistics described as the procedure of collecting data, classifying it, displaying that in a way that makes it easy to understand, and analysing it even further.

We have:

A statistics student had excluded three outlier values when constructing a histogram of a frequency distribution.

As we know, the statistics described as the procedure of collecting data, classifying.

And from the given data we can conclude the class boundaries would change.

Thus, the statement first "the class boundaries would change" is the correct.

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Answer:

O The shape of the histogram changes

Step-by-step explanation:

There is no guarantee that the outliers are larger or less than the pre-existing class boundaries. Therefore the only thing we can be sure will happen is that the shape of the histogram will change given that any addition or subtraction of variables contributes to the shape regardless.

Answer:

Always

Step-by-step explanation:

[tex]ax^{2} + bx + c = 0[/tex]

Step-by-step explanation:

try this solution, note, the answers are underlined with green colour.

Answer:

The distance between the points (2, 7) and (2, 15) is 8.

Step-by-step explanation:

What is the Distance between Two Points?

For any two points there is exactly one line segment connecting them. The distance between two points is the length of the line segment connecting them. Note that the distance between two points is always positive. Segments that have equal length are called congruent segments.

How to Solve:

Putting Values:

[tex]=\sqrt{(2-2)^2+(15-7)^2}[/tex]

[tex]=\sqrt{(0)^2+(8)^2}[/tex]

[tex]=\sqrt{0+64}[/tex]

[tex]=\sqrt{64}[/tex]

[tex]=8[/tex]

Answer:

8

Step-by-step explanation:

To calculate the greatest common factor of 24 and 32, we need to factor each number (factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24; factors of 32 = 1, 2, 4, 8, 16, 32) and choose the greatest factor that exactly divides both 24 and 32, i.e., 8.

Answer:

8

(factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24; factors of 32 = 1, 2, 4, 8, 16, 32)

https://www.flocabulary.com/unit/gcf-lcm/

Answer:

[tex]38.47 {m}^{2} [/tex]

Step-by-step explanation:

The formula to find the area of a circle is

[tex] a= \pi {r}^{2} [/tex]

We know that

[tex]\pi = 3.14 \: \: \: \: \: \: r = 3.5[/tex]

Therefore the area is

[tex] a= \pi {r}^{2} \\ \\ a = (3.14) {(3.5)}^{2} \\ \\ a = 3.14 \times 12.25 \\ \\ a = 38.47 {m}^{2}[/tex]

Answer:

rounded = 170 in^3 and 2nd question =2.772 in^3

Step-by-step explanation:

h: 12 1/8 = 12.125

w: 1 3/4 = 1.75

l: 8

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

h*w*l = 169.75 in^3

rounded = 170 in^3

oh there's another.. wait

same with this question

.----------------------------------

h*w*l

10.5 * 12 * 22 = 2.772 in^3

Answer:

24.49 units

Step-by-step explanation:

It si NOT a right triangle, so you'll have to use law of sines

angle C = 180 - 45-75 = 60 degrees

30 / sin60 =  AC / sin 45

AC = 30 * sin 45 / sin 60 = 24.49 units

The approximate area of the triangular base of James’ tank is 3025 in²

To find the approximate area of the triangular base of James' tank, we need to know what scale is.

A scale is the ratio of two dimension. It is given by scale = New dimension/old dimension

Given that the dimensions of James’ tank are each exactly 2 3/4 times the dimensions of Julian’s tank.

The scale of the area of James' tank to the area of triangular base of Julian's tank is S = (2³/₄)²

= (11/4)²

= 121/16

Let

So, scale, S = A/A'

So, making A subject of the formula, we have

A = SA'

A = 121/16 × 400 in²

A = 121 × 25 in²

A = 3025 in²

So, the approximate area of the triangular base of James’ tank is 3025 in²

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[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{1}x^2\stackrel{\stackrel{b}{\downarrow }}{-4}x\stackrel{\stackrel{c}{\downarrow }}{+2} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{ -4}{2(1)}~~~~ ,~~~~ 2-\cfrac{ (-4)^2}{4(1)}\right)\implies (2~~,~~2-4)\implies (2~~,~~-2)[/tex]

Answer:

7.85

Step-by-step explanation:

Arc Length Formula

[tex]\text{arc length} = 2 \pi r (\frac{\text{angle in degrees}}{360^\circ})[/tex],
where r is radius.

Given information:

m<JKL = 30°

JK = r = 15 units

Substitute in equation and solve.

[tex]\text{arc length} = 2 \pi r (\frac{\text{angle in degrees}}{360^\circ})\\\text{arc length} = 2 \pi (15) (\frac{30^\circ}{360^\circ})\\\text{arc length} = \frac{5}{2} \pi \approx 7.85398\\\text{arc length} = 7.85 \text{ units}[/tex]

The number of the standard versions downloaded will be 2790 standard versions.

Division means the separation of something into different parts, sharing of something among different people, places, etc.

A Web music store offers two versions of a popular song.

The size of the standard version is 2.1 megabytes (MB).

The size of the high-quality version is 4.9 MB.

Yesterday, the high-quality version was downloaded four times as often as the standard version.

The total size downloaded for the two versions was 5859 MB.

Then the number of the standard versions were downloaded will be

→ 5859 / 2.1

→ 2790 standard versions

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The Gradient of the line PQ is -5/2.

Gradient the basically the ratio between the change in vertical coordinate to change in horizontal coordinates.

Here, P (2, 7) and Q (6, -3)

Now, Gradient = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

           m = [tex]\frac{-3 -7}{6 - 2}[/tex]

           m = -10/4

         m = -5/2

Thus, the Gradient of the line PQ is -5/2.

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Step-by-step explanation:

let's explain this a bit.

when the exterior angle is a certain size, then the interior angle is 180 - that exterior angle.

in our case the exterior angle is half of a right angle, so it is 90/2 = 45°.

the corresponding interior angle is 180-45 = 135°.

the sum of all angles inside a triangle is always 180°.

so,

x + 2x + 135 = 180

3x = 45

x = 15°

2x = 30°

so, the 3 interior angles are

135°, 15°, 30°

The number of people out of 2000 expected to use the app will be 1300.

A survey is a research method used for collecting data from a predefined group of respondents to gain information and insights into various topics.

It is given that:-

A store employee conducted a survey of 325 randomly selected customers. According to survey 212, customers often use the app to shop.

We need to find the data for 2000 people who visited the store.

So the percentage of the people who are using the app will be calculated as:-

[tex]= \dfrac{212}{3254}=65\%[/tex]

So the number of the people out of 2000 will be:-

[tex]N\ = 2000\times \dfrac{65}{100}=1300\ \[/tex]

Hence the number of people out of 2000 expected to use the app will be 1300.

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Answer:

y = -4

Step-by-step explanation:

8 = 3y - 12 - 8y

Combine like terms

8 = -5y -12

Add 12 to each side

8+12 - 5y-12+12

20 = -5y

Divide each side by -5

20/-5 = -5y/-5

-4 =y

Answer:

The scale factor is 8. The model is scaled by 8 to get the sculpture.

If they want it in reverse, the answer is 1/8. The model is 1/8th of the sculpture's size.

Sculpture = scale factor * model

[we get this equation because the model must be turned into a sculpture so we want to find how much bigger the model is compared to sculpture]

Let's take the length of the sculpture and model to put in.

x

56 = scale factor * 7

56/7  = scale factor

8 = scale factor

Answer:

1/8

Step-by-step explanation:

Take the scale factor as a ratio between the model and the sculpture.

Take any of the listed dimensions (length, for example) and divide.

Answer:

  x = 3°

Step-by-step explanation:

The external angle where secants/tangents meet is half the difference of the intercepted arcs.

__

Here, that means ...

  18x = (1/2)(194° -86°)

  18x = 1/2(108°) = 54° . . . . . simplify

  x = 3° . . . . . . divide by 18

Answer:

Step-by-step explanation:

[tex]\mathrm{Critical\:Points\:of}\:45\frac{x^4}{5}+\frac{x^9}{5}:[/tex] [tex]x=-\sqrt[5]{20},\:x=0[/tex]

Critical Point Definition:

Find where [tex]f'(x)[/tex] is equal to zero or undefined

[tex]x=-\sqrt[5]{20},\:x=0[/tex]

Identify critical points not in [tex]f(x)[/tex] domain

Domain of [tex]45\frac{x^4}{5}+ \frac{x^9}{5}: -{ \infty} < x < { \infty}[/tex]

All critical points are in domain

[tex]x=-\sqrt[5]{20},\:x=0[/tex]

Answer:

He bought 32 sketchbooks

Step-by-step explanation:

E equals 32

Answer:

17

Step-by-step explanation:

We know:

The total bill was $241

The paint sets cost $105

Each sketchbook is $8

First, subtract the cost of the paint sets from the total bill. That leaves the entire cost of all of the sketch books.

241-105=136

Next, divide the cost of the sketch books by 8 to find the cost of one sketchbook.

136/8=17

Therefore, Mr. Benito bought 17 sketchbooks.

Answer:

20 New professors

Step-by-step explanation:The current ratio is 1200%2F80 = 15.

The new ratio/proportion should be %281500%29%2Fx = 15.

From here, find x = 1500%2F15 = 100 professors.

They must hire 100-80 = 20 new professors.

Answer: N=40

r=4

Step-by-step explanation:

We use the notation

�

P

�

nPrn, start text, P, end text, r to describe permutations. This notation represents the number of unique arrangements that exist when we select

�

rr objects without replacement from a set of

�

nn distinct objects.

In this scenario, how many students are we selecting to fill positions? How many students are we selecting from?

Hint #22 / 3

The student government is electing

4

44 of its

40

4040 members to fill the positions of president, vice president, secretary, and treasurer. So

�

nn should be

40

4040 and

�

rr should be

4

44.

Hint #33 / 3

These are the appropriate values of

�

nn and

�

rr:

�

=

40

�

=

4

n

r

​

=40

=4

​

Step-by-step explanation:

x=36/12

x=2

12x = 36

x = 36÷12

x = 3

Hope it helps......

[tex] \Large{\boxed{\sf x = 14}} [/tex]

[tex] \\ [/tex]

Given equation:

[tex] \sf x + 14 = 28 [/tex]

[tex] \\ [/tex]

Subtract 14 from both sides :

[tex] \sf x + 14 - 14 = 28 - 14 \\ \\ \\ \boxed{\boxed{\sf x = 14}} [/tex]

[tex] \\ \\ [/tex]

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