Evaluate geometric series

Answer:

216

Step-by-step explanation:

9*(2*12)

9*(24)

9*24

216 ans

Answer:

1 7/8

Step-by-step explanation:

1/4=2/8

2+2/8-3/8= 1 7/8

The amount of the fruit punch in gallons after serving 3/8 gallons of the fruit punch at dinner is 15/8.

It simply means to deduct something from the object or number of group, place, etc. Subtraction means to take away from the group or a number of objects.

Ms. Fitzgerald had 2 and 1/4 gallons of fruit punch. She served 3/8 gallons of the fruit punch to her family at lunch.

The amount of the punch she has

[tex]\rightarrow 2 + \dfrac{1}{4} \\\\\rightarrow \dfrac{8 + 1}{4}\\\\\rightarrow \dfrac{9}{4}[/tex]

Then the 3/8 gallons of fruit punch to her family at lunch. Then we have

[tex]\rightarrow \dfrac{9}{4} - \dfrac{3}{8}\\\\\\\rightarrow \dfrac{18-3}{8}\\\\\\\rightarrow \dfrac{15}{8}[/tex]

More about the subtraction link is given below.

https://brainly.com/question/4319655

Answer:

the answer is 6+x=24

Step-by-step explanation:

awesome

Answer:

6 + x = 24

Step-by-step explanation:

This is an equation because it has an EQUAL SIGN "=". an expression with an equal sign makes an equation.

It's in the name "EQUATION" (EQUAL)

A representation " = "

Answer:

area of shaded region: 21.07 ft²

Given for semi circle:

Given for rectangle:

Find area of rectangle:

Length * Width

14 * 7

98 ft²

Find the area of semi circle:

1/2 * π * r²

1/2 * 3.14 * (7)²

76.93 ft²

Area of shaded region:

area of rectangle - area of semi-circle

98 ft² - 76.93 ft²

21.07 ft²

Solution:

Perimeter is the sum of the figure's sides.

Note that:

Simplify the expression:

I have attached the labelled diagram, Let's find the perimeter now..

Length of all sides:

Now, Let's add these values

[tex] \sf: \implies \: 10 + 10 + 10 + 10 + 10 + 4 + 4 + 30[/tex]

[tex] \sf: \implies \: 50+ 4 + 4 + 30[/tex]

[tex] \sf: \implies \: 50+ 8+ 30[/tex]

[tex] \sf: \implies \: 58+ 30[/tex]

[tex] \boxed{ \tt: \multimap \: 88}[/tex]

Thus, The perimeter of the given figure is 88 cm...~

Answer:

To make a box and whisker plot, you need to draw a number line that would be able to represent all the values in the data (look at your lowest and highest numbers).

You will need to graph the following 5 points on your number line (median, lower quartile, lower extreme, upper quartile, and upper extreme).

Create a box around the quartiles and extend the lines to the extremes.

See the picture I have attached for the box and whisker box for this data set.

Step-by-step explanation:

Answer:

3s

Step-by-step explanation:

the answer is 3 seconds

Answer:

[tex]y=-3x+5[/tex]

Step-by-step explanation:

The equation for slope is:

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

We can substitute the given coordinates into the equation:

[tex]Slope=\frac{3-0}{\frac{2}{3}-\frac{5}{3}}=\frac{3}{\frac{2-5}{3}}=\frac{3}{\frac{-3}{3}}=\frac{3}{-1}=-3[/tex]

The slope is -3

The equation for a line is:

[tex]y=mx+b[/tex]

m: slope

b: y-intercept

x, y: (x, y) coordinate pair

Now, plug in the slope and one of the (x, y) coordinate pairs to solve for the y-intercept.

[tex]y=mx+b\\y=-3x+b\\0=-3(\frac{5}{3})+b\\0=\frac{-15}{3}+b\\0=-5+b\\$Add 5 to both sides\\b=5[/tex]

Therefore the equation is:

[tex]y=-3x+5[/tex]

What is the header for this page?

Header means the text written at the top of the page. The word written at the top of our page is The slope. Hence, it is the header for the page...~

Answer:

rea = pi x radius squared

area = 3.14 x (6 km)² - assuming pi i is about 3.14

area = 113.04km²

Step-by-step explanation:

Answer:

Jason's original position is 70.02 yards, or 70 yards

Step-by-step explanation:

These types of questions are understood better when drawn out.

Step-by-step explanation:

The answer is 3950 $

First we will calculate the two profits the dealership earned.

1. Profit on purchase.

18000 x 15% = 18000 x 0.15

=2700 $

2. Profit on Sale:

5000 x 25% = 5000 x 0.25

= 1250$

3. Adding both profits:

Total profit = 2700 + 1250 = 3950 $

Answer:

28

Step-by-step explanation:

So first you need to add up the time they played yesterday which means add up the times for each drill(22+35+27) which equals 84. Now you need to divide 84 by 3 because there are 3 drills(84÷3) which equals 28 and you will get your answer

22 + 35 + 27 = 84 ÷ 3 = 28

Hope this helps

Please mark brainliest.

The larger the negative number gets, the farther from zero it becomes. -9.8 is closer to zero- therefore "larger" than -11.3.

Have a nice day/night :)

~pinetree

Answer:

False

Step-by-step explanation:

The defining characteristic of a line is that is has a constant average rate of change.

[tex]slope=\frac{rise}{run}=\frac{verticalchange}{horizontal change} =\frac{y}{x} =\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

Answer:

costo total = c

costo del artículo = x

impuesto = 8,25 % = 0,0825 {cambiar el porcentaje a decimal moviendo el punto decimal dos a la izquierda}

Para encontrar impuestos:

- multiplique el costo del artículo por el porcentaje de impuestos (como decimal)

= .0825x

Para encontrar el costo total:

- agregue el costo del artículo más impuestos

= x + .0825x

c = x + .0825x {costo del artículo más impuestos}

Step-by-step explanation:

Answer:

[tex]\huge\boxed{\sf d = 14.39\ cm}[/tex]

Step-by-step explanation:

Given:

Circumference = c = 45.1846 cm

π = 3.14

Required:

Diameter = d = ?

Formula:

C = πd

Solution:

Rearrange formula

d = C / π

d = 45.1846 / 3.14

d = 14.39 cm

[tex]\rule[225]{225}{2}[/tex]

Question 1 - The sales director was inclined to conduct an experiment because a treatment was applied to the sales representative.

A causality statistical study would be best.

Question 2 - In the Midwest region, the difference between those with training and without led to a 0.38 difference.

In the Northeast, the difference between those with training and without led to a 0.74 difference.

This means that a one-month training program increases sales.

The data shows that because a treatment was applied to sales representatives in that some of them were trained, the best way to find out the effect of this treatment would be an experiment.

This experiment would show if there is a causality relationship between training and sales numbers.

Midwest:

= (234 - 196) / 100

= 0.38

Northeast:

= (252 - 178) / 100

= 0.74

Those with training in the Midwest sold 0.38 more than those without training. And those with training in the Northeast sold 0.74 more.

This means that the training does indeed increase sales.

Find out more on the effects of training at https://brainly.com/question/12427808.

Using the normal distribution, we have that:

a) There is a 0.0548 = 5.48% probability that an individual distance is greater than 218.00 cm.

b) There is a 0.7967 = 79.67% probability that the mean for 25 randomly selected distances is greater than 204.20 cm.

c) Since the underlying distribution is normal, the central limit theorem can be applied.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

For this problem, the parameters are:

[tex]\mu = 205.5, \sigma = 7.8, n = 25, s = \frac{7.8}{\sqrt{25}} = 1.56[/tex]

Item a:

The probability is one subtracted by the p-value of Z when X = 218, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{218 - 205.5}{7.8}[/tex]

Z = 1.6

Z = 1.6 has a p-value of 0.9452.

1 - 0.9452 = 0.0548.

There is a 0.0548 = 5.48% probability that an individual distance is greater than 218.00 cm.

Items b and c:

Since the underlying distribution is normal, the central limit theorem can be applied, hence the probability is one subtracted by the p-value of Z when X = 204.2.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{204.2 - 205.5}{1.56}[/tex]

Z = -0.83

Z = -0.83 has a p-value of 0.2033.

1 - 0.2033 = 0.7967.

There is a 0.7967 = 79.67% probability that the mean for 25 randomly selected distances is greater than 204.20 cm.

More can be learned about the normal distribution at https://brainly.com/question/4079902

#SPJ1

Answer:

180 burritos

Step-by-step explanation:

15 burritos = 5 mins

x burritos = 60 mins

cross multiply

5x = 60 ×15

5x = 900

x = 900/5

therefore x = 180 burritos

Answer:

4 or 9+7x+(-3y) is the only expression equivalent

Step-by-step explanation:

Number 4 is the only expression that comes out to be equivalent because the rest of the answer choices have something wrong with them.

Step-by-step explanation:

Answer:

they're fruits

Step-by-step explanation:

i dont really know what the question is... they help against heart disease, cancer and diabetes

Answer:

1/8

Step-by-step explanation:

Suppose there are 7 males so there will be 1 female according to the question.

So there is 1 female out of a total of 8 students. So the answer is 1/8.

Because the female is 1 out of the 8 people.

Answer:

let x yd be the height of the rectangular prism.

4/5x = 35/15

      x= 2 11/12 yd

Step-by-step explanation:

since the formula for the volume of cuboids is base area times height, we can use that equation to find out! :D

[tex]\bold{\huge{\underline{ Solution }}}[/tex]

Here, we will use the concept of integration and algebric identities

We have,

[tex]\bold{\displaystyle\int}{\bold{\dfrac{ cos^{2}x}{1 + sinx}}}{\bold{dx}}[/tex]

By using trigonometric identity,

[tex]\sf{\displaystyle\int}{\sf{\dfrac{ 1 -sin^{2}x }{1 + sinx}}}{\sf{dx}}[/tex]

By using algebraic identity :-

[tex]\sf{\displaystyle\int}{\sf{\dfrac{ (1 + sinx) (1 - sinx) }{1 + sinx}}}{\sf{dx}}[/tex]

[tex]\sf{\displaystyle\int}{\sf{( 1 - Sinx)dx}}[/tex]

[tex]\sf{ {\displaystyle\int} dx - {\displaystyle\int}sinxdx}[/tex]

We know that,

[tex]\sf{ x - (-cosx) + c}[/tex]

[tex]\bold{ x + cosx + c}[/tex]

Hence, The answer is x + Cosx + c.

We are given with an integral and need to solve the integral , so let's start ;

[tex]{:\implies \quad \displaystyle \int \sf \dfrac{\cos^{2}(x)}{1+\sin (x)}dx}[/tex]

As we know that sin²(x) + cos²(x) = 1 , using this

[tex]{:\implies \quad \displaystyle \int \sf \dfrac{1-\sin^{2}(x)}{1+\sin (x)}dx}[/tex]

Can be further written as

[tex]{:\implies \quad \displaystyle \int \sf \dfrac{1^{2}-\sin^{2}(x)}{1+\sin (x)}dx}[/tex]

[tex]{:\implies \quad \displaystyle \int \sf \dfrac{\cancel{\{1+\sin (x)\}}\{1-\sin (x)\}}{\cancel{\{1+\sin (x)\}}}dx\quad \qquad \{\because a^{2}-b^{2}=(a+b)(a-b)\}}[/tex]

[tex]{:\implies \quad \displaystyle \int \sf \{1-\sin (x)\}dx}[/tex]

Now , as integrals follow distributive property , so ;

[tex]{:\implies \quad \displaystyle \int \sf 1\: dx-\int \sin (x)dx}[/tex]

Now , as antiderivative (Integration) of sin(x) is -cos(x) + C and that of dx is x + C So ;

[tex]{:\implies \quad \displaystyle \bf \therefore \underline{\underline{\int \bf \dfrac{\cos^{2}(x)}{1+\sin (x)}=x+\cos (x)+C}}}[/tex]

This is the Required answer