Simplify.
3t-t•t•t+3(-2t)+t
A. -1- 24
B. 1-24
C. -51
D. -70

Answer:

D. Mr. Anderson can travel 99.28 miles.

Step-by-step explanation:

If Mr. Anderson has 4 gallons and each gallon moves him 24.82 miles you can multiply the number of miles per gallon by the gallon resulting in an equation that looks like 4*24.82=99.28.

[tex]\sf\large\underline{Given:-}[/tex]

Speed of the train = 20km / 1hr.

[tex]\rightarrow[/tex] 1 hour = 60 minutes.

So, speed of the train = 20km/60min.

[tex]\sf\large\underline{To\: Find:-}[/tex]

[tex]\rightarrow[/tex]Distance covered by train in 1min.

[tex]\sf\large\underline{Solution:-}[/tex]

Let the distance covered by train in 1 min be [tex]\sf{x}[/tex] m.

So, if train covers 20 km in 60min then it covers [tex]\sf{x}[/tex] m in 1 min.

It can be written as,

[tex]\rightarrow[/tex] [tex]\sf{\frac{20}{60}}[/tex] [tex]\sf{=\frac{x}{1}}[/tex](by cross multiplication)

[tex]\rightarrow[/tex][tex]\sf{20\: = \: 60x}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{\frac{20}{60}= x}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{\frac{1}{3}= x}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{0.33= x}[/tex](approx)

Therefore, distance covered by train in 1 min= 0.33km (approx).

_______________________________

Hope it helps you:)

Answer:

C. 51

Step-by-step explanation:

For Square:

Length x Height

7 x 6 = 42

For Triangle:

Base x Height x 1/2

(6x3)1/2 = 9

42 + 9 = 51

The effective current when an AC peak voltage of 18V is applied to a lamp with 4 ohm resistance is 3.18 A.

Current is the flow of electrons through a conductor when voltage is applied across the conductor.

Given the peak voltage of 18 V, hence:

[tex]V_{rms}=\frac{Peak\ value}{\sqrt{2} } =\frac{18}{\sqrt{2} } =12.73 V\\\\I_{rms}=\frac{V_{rms}}{resistance } =\frac{12.73}{4 } =3.18 A\\[/tex]

The effective current when an AC peak voltage of 18V is applied to a lamp with 4 ohm resistance is 3.18 A.

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Answer:

A. The solution is the region where both shaded parts overlap.

Step-by-step explanation:

The solution to a system of linear inequalities is the intersection region of the solution of both inequalities. Or you could also say that it's the region where the graphs of the inequalities in the system overlap.

The shaded area represents the solution and where the two inequalities overlap.

Answer:

[tex]\sf 2 \frac14 \ cups[/tex]

Step-by-step explanation:

Add the amounts together:

[tex]\sf \implies \dfrac24+1+\dfrac34[/tex]

Convert the whole number 1 into a fraction with denominator 4:

[tex]\sf \implies \dfrac24+\dfrac44+\dfrac34[/tex]

As all the denominators are the same, we can simply add the numerators:

[tex]\sf \implies \dfrac{2+4+3}4[/tex]

[tex]\sf \implies \dfrac94[/tex]

Finally, convert the improper fraction into a mixed number:

[tex]\sf \implies 2 \frac14 \ cups[/tex]

Add all

[tex]\\ \rm\rightarrowtail \dfrac{2}{4}+\dfrac{3}{4}+\dfrac{4}{4}[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{2+3+4}{4}[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{9}{4}[/tex]

[tex]\\ \rm\rightarrowtail 2\dfrac{1}{4}cups[/tex]

Answer:

unfortunately one person will be without a bracelet

Answer:

(1, -8)

Step-by-step explanation:

In this case, we are reflecting. Since we are reflecting over the x axis, the only thing that will change will be the y.

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The x is staying the same because it is not moving. The y, however, is changing sides.

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Since the y is positive in its original spot, when you reflect over the x axis, you will have a negative y value, which is why it is a -8.

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I hope this helps!

-No one

Answer:

hope it helps

also do write the givens

Answer:

1 is the answer to have the distance same

Answer:

See below ↓

Step-by-step explanation:

A) The Western Beach width decreases with increase in time whereas the Dune Beach width increases with increase in time.

B) Between Year 11 and Year 12

C) Find out the exact change in width per year for both beaches and plot them lines of change on a graph or as equations. Find where they intersect on the graph or solve the pair of equations to find out when they will both have the same width.

Answer:

88 cm²

Step-by-step explanation:

88 cm² is your answer

Answer:

72.6

Step-by-step explanation:

180-107.4 = 72.6

Answer:

yes

explanation:

Your score falls within the range of scores, from 740 to 799, that is considered Very Good. A 779 FICO Score is above the average credit score. Consumers in this range may qualify for better interest rates from lenders.

Answer:

See below for proof

Step-by-step explanation:

[tex]\tan^2x\sin^2x\\\\(\sec^2x-1)(\sin^2x)\\\\(\frac{1}{\cos^2x}-\frac{\sin^2x}{\sin^2x})(\sin^2x)\\\\(\frac{\sin^2x-\sin^2x\cos^2x}{\sin^2x\cos^2x})(\sin^2x)\\\\\frac{\sin^2x-\sin^2x\cos^2x}{\cos^2x}\\\\\frac{\sin^2x}{\cos^2x}-\sin^2x\\\\\tan^2x-\sin^2x[/tex]

Hence, the identity is proven

Answer:

200 meters2

Step-by-step explanation:

4 * 5 = 20

20 * 20 ÷ 2 = 200

Answer:

72 kg

Step-by-step explanation:

let weight of third person=x

62-55=x-62

7=x-65

x=7+65=72 kg

The geometric sequence 128,32,8,2 has a common ratio

The recursive definition of the geometric sequence is [tex]a_n = 4a_{n-1}[/tex] where a1 = 128

The geometric sequence is given as:

128,32,8,2

Start by calculating the common ratio (r)

[tex]r = \frac{a_{n}}{a_{n-1}}[/tex]

Substitute 2 for n

[tex]r = \frac{a_2}{a_1}[/tex]

Substitute known values

[tex]r = \frac{128}{32}[/tex]

Evaluate the quotient

[tex]r = 4[/tex]

Substitute 4 for r in [tex]r = \frac{a_{n}}{a_{n-1}}[/tex]

[tex]4 = \frac{a_{n}}{a_{n-1}}[/tex]

Cross multiply

[tex]a_n = 4a_{n-1}[/tex]

Hence, the recursive definition of the geometric sequence is [tex]a_n = 4a_{n-1}[/tex] where a1 = 128

Read more about geometric sequence at:

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Answer:

19.400

Step-by-step explanation:

19.400 equals out to 42769.67886386625

Answer:

Bottom Right graph

Step-by-step explanation:

The quation asks what slope of the graph represents how many people are served per hour. If 600 people are served in 10 hours, you divide 600 by 10 to see how many people are served per hour. In this case it is 60 people per hour. Then you find the graph that shows 60 more people served per hour. Hope this helps.

Answer:

yes, a flag is created by sewing it together

Answer:

Square

Step-by-step explanation:

Answer:

The skeletal system has many functions. Besides giving us our human shape and features, it:

Allows movement: Your skeleton supports your body weight to help you stand and move. Joints, connective tissue and muscles work together to make your body parts mobile.

Produces blood cells: Bones contain bone marrow. Red and white blood cells are produced in the bone marrow.

Protects and supports organs: Your skull shields your brain, your ribs protect your heart and lungs, and your backbone protects your spine.

Stores minerals: Bones hold your body’s supply of minerals like calcium and vitamin D.

Answer:

D.) there is 9a and 6b ,3c and 1 thats four different terms

Step-by-step explanation:

Have a nice day! :D

Answer:

4x - 28

Step-by-step explanation:

[tex]-3(4x + 3) - (2x - 5) + 6(3x - 4)[/tex]

[tex]\mathrm{Apply\:the\:distributive\:law}:\quad \:-\left(a-b\right)=-a+b[/tex]

[tex]-\left(2x-5\right)=-2x+5[/tex]

[tex]=-3\left(4x+3\right)-2x+5+6\left(3x-4\right)[/tex]

[tex]=-12x-9-2x+5+6\left(3x-4\right)[/tex]

[tex]=-12x-9-2x+5+18x-24[/tex]

[tex]\mathrm{Group\:like\:terms}[/tex]

[tex]=-12x-2x+18x-9+5-24[/tex]

[tex]\mathrm{Add\:the\:numbers:}\:-9+5-24=-28[/tex]

[tex]=-12x-2x+18x-28[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:-12x-2x+18x=4x[/tex]

[tex]=4x-28[/tex]

~Learn with Lenvy~

Answer:

-8.9° C

Step-by-step explanation:

Question:

Doing a scientific experiment the temperature of a container decreased by 35.7° C at a constant rate over 8 1/2 hours.

What value represents the change in the temperature of the container each hour?

Answer:

-8.9° C

Answer:

¹

Step-by-step explanation:

Average Rate of Change is

ts

[tex] \frac{f(b) - f(a)}{b - a} [/tex]

Here b is pi, a is pi/2,

[tex] \cos(\pi) = - 1[/tex]

[tex] \cos( \frac{\pi}{2} ) = 0[/tex]

So we have

[tex] \frac{ - 1 - 0}{ \frac{\pi}{2} } = \frac{ - 1}{ \frac{\pi}{2} } [/tex]

Answer:

-2/pi

Step-by-step explanation:

The total amount that will be paid for the products with a sales tax of 7.5% will be $1290.

Your information isn't complete as the table denoting the appropriate values aren't given.

Let's assume that the price of a product A is given as $800 ane product B is $400. If the sales tax is 7.5%, the total amount that will be paid will be:

= ($800 + $400) + (7.5% × $1200)

= $1200 + $90

= $1290

Learn more about sales tax on:

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Answer:

x= -13.5

Step-by-step explanation:

X-3x+(-6)=21

-2x-6=21

-2x=27

2x=-27

x=-13.5

Answer:

Step-by-step explanation:

hello :

note : the vertex form is :

ax²+bx+c = a(x+(b)/(2a))²-  delta/4a²   and   delta = b²- 4ac

in this exercice you have : a =1    b = 16   and  c=64

continu ..........