Leora had some money in her wallet. She spent $18.62 buying groceries and had $43.55 left. How much money did she have in her wallet before she bought the groceries?
$24.93
$35.93
$45.41
$62.17

Answer: D

Step-by-step explanation:

Since we know that the area of the square is 900 in², we can use that to find the length of each side.

900=x²                 [square root both sides]

x=30

Now that we know each side is 30 in, we know that the diameter of the circle is also 30 in. To find the radius, divide the diameter by 2.

2r=30                    [divide both sides by 2]

r=15

With the radius, we can find the area of the circle.

A=π(15)²               [exponent]

A=225π

Since the problem said to leave in terms of π, the area is A=225π in².

Answer: 3/125

Step-by-step explanation:

Answer:

24/1000

Step-by-step explanation:

Step 1:

2 2/5% = 2.4%

Step 2:

2.4% = 0.024

Step 3:

0.024 = 24/1000

Answer:

24/1000

Hope This Helps :)

Answer:

Image result for State the domain and range in set notation​

The domain is the set of all first elements of ordered pairs (x-coordinates). The range is the set of all second elements of ordered pairs (y-coordinates). Only the elements "used" by the relation or function constitute the range. Domain: all x-values that are to be used (independent values).

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

The last option is not complete, but since the first three options are incorrect, the last option is correct

Answer:

-2n + 8/9

Step-by-step explanation:

Try that tell me I it don't work

Answer:

Your answer is absolutely correct

Step-by-step explanation:

The work would be as follows:

[tex]\int _0^{\sqrt{\pi }}4x^3\cos \left(x^2\right)dx,\\\\\mathrm{Take\:the\:constant\:out}:\quad \int a\cdot f\left(x\right)dx=a\cdot \int f\left(x\right)dx\\=> 4\cdot \int _0^{\sqrt{\pi }}x^3\cos \left(x^2\right)dx\\\\\mathrm{Apply\:u-substitution:}\:u=x^2\\=> 4\cdot \int _0^{\pi }\frac{u\cos \left(u\right)}{2}du\\\\\mathrm{Apply\:Integration\:By\:Parts:}\:u=u,\:v'=\cos \left(u\right)\\=> 4\cdot \frac{1}{2}\left[u\sin \left(u\right)-\int \sin \left(u\right)du\right]^{\pi }_0\\\\[/tex]

[tex]\int \sin \left(u\right)du=-\cos \left(u\right)\\=> 4\cdot \frac{1}{2}\left[u\sin \left(u\right)-\left(-\cos \left(u\right)\right)\right]^{\pi }_0\\\\\mathrm{Simplify\:}4\cdot \frac{1}{2}\left[u\sin \left(u\right)-\left(-\cos \left(u\right)\right)\right]^{\pi }_0:\quad 2\left[u\sin \left(u\right)+\cos \left(u\right)\right]^{\pi }_0\\\\\mathrm{Compute\:the\:boundaries}:\quad \left[u\sin \left(u\right)+\cos \left(u\right)\right]^{\pi }_0=-2\\=> 2(-2) = - 4[/tex]

Hence proved that your solution is accurate.

Answer:

[tex]\int\limits^{\sqrt{\pi}}_0 {4x^3\cos(x^2)} \, dx=-4[/tex]

Step-by-step explanation:

So we have the integral:

[tex]\int\limits^{\sqrt{\pi}}_0 {4x^3\cos(x^2)} \, dx[/tex]

As told, let's use u-substitution first and then use integration by parts.

For the u-substitution, we can let u to be equal to x². So:

[tex]u=x^2[/tex]

Differentiate:

[tex]du=2x\, dx[/tex]

We can rewrite our integral as:

[tex]\int\limits^{\sqrt{\pi}}_0 {2x(2x^2)\cos(x^2)} \, dx[/tex]

Therefore, by making our u-substitution, our integral is now:

[tex]\int\limits {2u\cos(u)} \, du[/tex]

We also need to change our bounds. Substitute them into u. So:

[tex]u=\sqrt{\pi}^2=\pi\\u=(0)^2=0[/tex]

Therefore, our integral with our new bounds is:

[tex]\int\limits^{\pi}_{0} {2u\cos(u)} \, du[/tex]

Now, let's use integration by parts. Integration by parts is given by:

[tex]\int\limits {v}\, dy=vy-\int y\, dv[/tex]

(I changed the standard u to y because we are already using u).

Let's let v be 2u and let's let dy be cos(u). Thus:

[tex]v=2u\\dv=2\,du[/tex]

And:

[tex]dy=\cos(u)\\y=\sin(u)[/tex]

So, do integration by parts:

[tex]=2u\sin(u)-\int \sin(u)2\,du[/tex]

Simplify:

[tex]=2u\sin(u)-2\int \sin(u)\,du[/tex]

Evaluate the integral:

[tex]=2u\sin(u)+2\cos(u)[/tex]

Now, use the bounds. So:

[tex](2(\pi)\sin(\pi)+2\cos(\pi))-(2(0)\sin(0)+2\cos(0))[/tex]

Evaluate:

[tex]=(2\pi(0)+2(-1))-(0(0)+2(1))[/tex]

Simplify:

[tex]=(-2)-(2)[/tex]

Subtract:

[tex]=-4[/tex]

And we're done!

Answer:

using question mark as reference angle

Base = 13

hypotenuse = 18

usimg trigonometric ratios

cos? = B/h

? = inverse(13/18) = 43.74 = 44°

Step-by-step explanation:

Here, we are given with two sides and the triangle is a right angled triangle. Here, we can use trigonometry to find the missing angle.

According to missing angle, cos theta can be used because we are given with base and hypotenuse. No need to find the perpendicular.

[tex] \cos( \theta) = \frac{base}{hypotenuse} \\ [/tex]

[tex] \cos( \theta) = \frac{13}{18} [/tex]

Now for finding the missing angle theta, inverse of cosine will be applied on the other side. Because, inverse of multiplication is division.

[tex] \theta = \cos {}^{ - 1} ( \frac{13}{18} ) [/tex]

[tex] \theta = \cos {}^{ - 1} (0.7222222222) [/tex]

[tex] \boxed{ \theta \approx \: 43.76174269 \degree}[/tex]

━━━━━━━━━━━━━━━━━━━━

Answer:

p = T - a - b

Step-by-step explanation:

Hope that helps, not sure if it is correct though.

Step-by-step explanation:

sin⁴A + sin²Acos²A = sin²A

Proving the left hand side ( LHS)

That's

sin⁴A can be written as ( sin²A)(sin ²A)

So we have

( sin²A)(sin ²A) + sin²Acos²A

Next factor sin²A out

That's

sin²A ( sin²A + cos²A)

Using trigonometric identities

That's

Simplify the expression

That's

sin²A × 1

We have the final answer as

As proven

Hope this helps you

Answer:

The three components you should look for when examining distributions of numerical data are Shape, center, and spread

-Source(I took AP statistics in senior year of high school and passed the AP test)

The three components for examining distributions of numerical data are Shape, centre, and spread.

What is distribution of data?

A normal distribution is a common probability distribution. It has a shape often referred to as a "bell curve." Many everyday data sets typically follow a normal distribution: for example, the heights of adult humans, the scores on a test given to a large class, errors in measurements.

When examining the distribution of a quantitative variable, one should describe the overall pattern of the data (shape, centre, spread), and any deviations from the pattern (outliers). When describing the shape of a distribution, one should consider: Symmetry/skewness of the distribution Peakedness (modality) - the number of peaks (modes) the distribution has. Not all distributions have a simple, recognizable shape. Outliers are data points that fall outside the overall pattern of the distribution. It is always important to interpret the features of the distribution (as they appear in the histogram) mean in the context of the data.

Hence, The three components for examining distributions of numerical data are Shape, centre, and spread.

For more references on distribution, click;

https://brainly.com/question/29062095

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Answer:

An interest rate is the amount of interest due per period, as a proportion of the amount lent, deposited or borrowed

Answer: 8 inches

Step-by-step explanation:

320π in³= π (r²) (5 in)

64 in² = r²

r = 8 in

Answer:

t+26=25

t= 26-25 = 1

Step-by-step explanation:

Answer:

If we defelt 4 cards from 52 cards

Step-by-step explanation:

P(b) favorable outcome /total number of outcomes

48/52

The probability that all 4 cards are picture cards is  0.00183

A standard 52-card deck comprises 13 ranks in each of the four French suits: clubs (♣), diamonds (♦), hearts (♥) and spades (♠). Each suit includes three court cards (face cards), King, Queen and Jack, with reversible (double-headed) images.

as, we know

A face card is any of the twelve cards in a deck which has a picture of a face. The face cards are kings, queens, and jacks.

So, the possibilities to get a picture card is are 3*4=12.

Now, he probability that all 4 cards are picture cards

=(12/52) * (11/51) * (10/50) * (9/49)

=( 11880 / 6497400 )

= ( 0.0018284237 )

= 0.00183

Learn more about deck of cards here:

https://brainly.com/question/19202591

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Answer:

13909416897778.08 cm

Step-by-step explanation:

Answer:

13909416897778.08 cm

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the sequence :

23, 19, 13, 5, -5.......

From the sequence, the common difference is unequal, as their is a constant Increment in the difference after successive numbers.

19 - 23 = -4

13 - 19 = -6

5 - 13 = -8

-5 - 5= -10

Hence an constant difference of - 2 after each successive difference.

Hence, this is a quadratic sequence

With the formula

an² + bn + c

Answer:

The sun released a strong burst of water vapor. As Earth cooled, water in the atmosphere condensed. Materials collided due to strong gravitational forces. The ozone layer formed to protect against harmful UV ray exposure

Step-by-step explanation:

Answer:

As Earth cooled, water in the atmosphere condensed

Step-by-step explanation:

dues to high temps, water evaporated.

as the earth's surface cooled, water condensed and formed oceans

rocks hardened to form continents

Answer:

n=2

Step-by-step explanation:

(6n-7)+(8n+2)=23

14n-5=23

14n=28

n=2

Answer: If interest is not given, it would be 25,000+ interest as your answer

Step-by-step explanation:

Answer:

38.6

Step-by-step explanation:

Answer:

69

Step-by-step explanation:

Since there are 25 values, then n=25.

Now, calculate the index: 

i=p/100n=53/100⋅25=53/4.

Since the index i is not an integer, round up: i=14

The percentile is at the position i=14. So, the percentile is 69.

Answer:

{(-1,0),(-8, 9), (7,0), (1,3)}

Step-by-step explanation:

number 3 is the only one with no colliding outputs.

Thousandths is the 3rd decimal place

The answer is 3.008

This image should help with that.                                                

Answer:

= -2

-7(5+3)+216/4

-7(8)+216/4

-56+54

= -2

Answer:

2.999 millions hours ago

Step-by-step explanation: :)

Answer:

1 11/16

Step-by-step explanation:

Answer:

1 11/16

Step-by-step explanation:

Convert mixed numbers into improper fractions:

-4 1/2

Step 1: whole number x denominator + numerator

-4 x 2 + 1 = -9

Step 2: write that number over your original denominator

-9/2

Step 3: repeat for other fraction

-2 2/3

-2 x 3 + 2 = -8

-8/3

Step 4: copy, dot, flip

-9/2 × -3/8

Step 5: solve

27/16

Step 6: convert back to mixed number

1 11/16

*note* Negative x negative = positive

Answer:

1/5 = 2/10 = 3/15 = 4/20

= 5/25 = 6/30 = 7/35 = 8/40

= 9/45 = 10/50 = 11/55 = 12/60

= 13/65 = 14/70 = 15/75 = 16/80

= 17/85 = 18/90 = 19/95 = 20/100

= 21/105 = 22/110 = 23/115 = 24/120

= 25/125 = 26/130 = 27/135 = 28/140

= 29/145 = 30/150 = 31/155 = 32/160

= 33/165 = 34/170 = 35/175 = 36/180

= 37/185 = 38/190 = 39/195 = 40/200

= 41/205 = 42/210 = 43/215 = 44/220

= 45/225 = 46/230 = 47/235 = 48/240

= 49/245 = 50/250 = 51/255 = 52/260

= 53/265 = 54/270 = 55/275 = 56/280

= 57/285 = 58/290 = 59/295 = 60/300

= 61/305 = 62/310 = 63/315 = 64/320

= 65/325 = 66/330 = 67/335 = 68/340

= 69/345 = 70/350 = 71/355 = 72/360

= 73/365 = 74/370 = 75/375 = 76/380

= 77/385 = 78/390 = 79/395 = 80/400

= 81/405 = 82/410 = 83/415 = 84/420

= 85/425 = 86/430 = 87/435 = 88/440

= 89/445 = 90/450 = 91/455 = 92/460

= 93/465 = 94/470 = 95/475 = 96/480

= 97/485 = 98/490 = 99/495 = 100/500

Step-by-step explanation:

all of these are equivalent

Answer: 36/11  Or 3 3/11

Step-by-step explanation: