solve the equation by using Properties of Equality 5x-10=20

Answer:

The temperature when Emily went to bed was -4°F.

Step-by-step explanation:

8°F + 3°F = 11°F (noon)

The temperature had risen by 3°F by noon. This means to add 3.

noon + 6°F = the day's high temperature

11°F + 6°F = 17°F (the day's high temperature)

The temperature rose another 6°F in the afternoon. This means add 6 to the temperature from noon.

high temperature - 21°F = temperature at bed

17°F - 21°F = -4°F

The temperature dropped by 21°F when Emily went to bed. This means to subtract 21 from the day's high temperature.  

Risen, rose, and increase mean addition.

Decrease, dropped, and decline mean subtraction.

Hope this helps :)

Answer:

$-118

Step-by-step explanation:

She owes the bank $64. She then paid the bank $25 because she owes $64. She has only paid $25 out of the $64 that she owes so you would subtract 25 from 64 and you would get 39. This means that she STILL owes the bank $39. She then charges, or uses, $79 which brought the amount she owes back up. So she used to owe $64 but then she paid $25 of the $64. She has $39 left to pay, but then she used $79 so you would add 79 and 39 because those are the two amounts of money that she owes. Integer wise, the numbers 79 and 39 would become -39 and -79. -79 and -39 added together is $-118. So now the balance, or amount she owes, is $-118. I hope this made sense.

Answer:

46

Step-by-step explanation:

[tex]f(x) = 10(3 - x) + 6 \\ f( - 1) = 10(3 - ( - 1)) + 6 \\ f( - 1) = 10(3 + 1) + 6 \\ f( - 1) = 10 \times 4 + 6 \\ f( - 1) = 40 + 6 \\ \huge \red{ \boxed{ f( - 1) = 46}} \\ [/tex]

Answer:

see explanation

Step-by-step explanation:

Using the rule of exponents

[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex], then

[tex]\frac{7^{4} }{7^{-3} }[/tex] = [tex]7^{4-(-3)}[/tex]

His mistake was in subtracting 3 rather than - 3

Andre's mistake was that he was not subtracting the power correctly.

The given expression is,

[tex]\frac{7^4}{7^{-3}}[/tex]

As we know according to the exponent law:

[tex]\frac{a^m}{a^n} =a^{m-n}[/tex]

Now, applying the above law into the given expression we get,

[tex]\frac{7^4}{7^{-3}}=7^{4-(-3)}\\ =7^{4+3}\\=7^7[/tex]

Hence, Andre's mistake was that he was not subtracting the power correctly.

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Answer:

[tex]r'(t)=(sin(6t)+6tcos(6t),2t,cos(7t)-7tsin(7t))[/tex]

Step-by-step explanation:

We need to find the derivative [tex]r'(t)[/tex] of the vector function :

[tex]r(t)=(tsin(6t),t^{2},tcos(7t))[/tex]

In order to find [tex]r'(t)[/tex], we are going to differentiate each of its components ⇒

We can write the following ⇒

[tex]r(t)=(f(t),g(t),h(t))=(tsin(6t),t^{2},tcos(7t))[/tex] ⇒

[tex]f(t)=tsin(6t)\\g(t)=t^{2}\\h(t)=tcos(7t)[/tex]

Let's differentiate each function to obtain [tex]r'(t)[/tex] :

[tex]f(t)=tsin(6t)[/tex] ⇒ [tex]f'(t)=1.sin(6t)+t.cos(6t).6=sin(6t)+6tcos(6t)[/tex] ⇒

[tex]f'(t)=sin(6t)+6tcos(6t)[/tex]

Now with [tex]g(t)[/tex] :

[tex]g(t)=t^{2}[/tex] ⇒

[tex]g'(t)=2t[/tex]

With [tex]h(t)[/tex] :

[tex]h(t)=tcos(7t)[/tex] ⇒ [tex]h'(t)=1.cos(7t)+t[-sin(7t)].7[/tex] ⇒

[tex]h'(t)=cos(7t)-7tsin(7t)[/tex]

Finally we need to complete [tex]r'(t)=(f'(t),g'(t),h'(t))[/tex] with its components :

[tex]r'(t)=(sin(6t)+6tcos(6t),2t,cos(7t)-7tsin(7t))[/tex]

Answer:

7/11 as a fraction if your talking about a fraction

Answer:

x is in the range [-1,4]

Step-by-step explanation:

I haven't worked with absolute value inequalities in awhile, but let's take a wack at this.

We are given the following inequality:

| 2x - 3 | <= 5

This implies two possible cases:

[1] -5 <= 2x -3

Or

[2] 2x - 3 <= 5

So let's solve x for both of these cases:

[1] -5 <= 2x - 3

 -2 <= 2x

 -1  <= x

[2]  2x - 3 <= 5

 2x <= 8

  x <= 4

So from these cases, we can say the following is true:

x >= -1  and x <= 4

Thus, we can write this in the form

-1 <= x <= 4

Or in interval notation:

{ x is element of reals | -1 <= x <= 4}

Also written as

x is in the range [-1,4]

Where the closed brackets represent 1 and 4 as possible answers whereas parenthesis would imply they were not.

Cheers.

Answer:

x=-2

Step-by-step explanation:

First, Distribute the 2 into the parenthesis.

2(3x+8)=4

6x+16=4

Simplify

6x+16=4

    -16  -16

6x/6= -12/6

x= -2

Hope this helps!

Answer:

-343

Step-by-step explanation:

(-7)(-7)=49

(49)(-7)= -343

Answer:

(-0.75, -3.25) and (4.125, -2.125)

Step-by-step explanation:

Let the town, Thayer = point A(-4, -4)

Town Purdy = point D(9, -1).

Let B and C represent the two rest stops that divides the highway (AD) into 3 equal parts, namely: AB = BC = CD.

Distance of point B from A to D = ⅓ of AD.

Point C = the midpoint of point B and D.

First, using the formula for internal division, let's find the coordinates of point B:

Internal division to find the coordinates of point B is given as:

[tex] x = \frac{mx_2 + nx_1}{m + n} [/tex]

[tex] y = \frac{my_2 + ny_1}{m + n} [/tex]

Where,

[tex] A(-4, -4) = (x_1, y_1) [/tex]

[tex] D(9, -1) = (x_2, y_2) [/tex]

[tex] m = 1, n = 3 [/tex]

Plug in the necessary values into the formula stated above to solve for x and y of point B:

[tex] x = \frac{1*9 + 3*(-4)}{1 + 3} [/tex]

[tex] x = \frac{9 - 12}{4} [/tex]

[tex] x = \frac{-3}{4} [/tex]

[tex] x = -\frac{-3}{4} = 0.75 [/tex]

[tex] y = \frac{1*(-1) + 3*(-4)}{m + n} [/tex]

[tex] y = \frac{-1 - 12}{1 + 3} [/tex]

[tex] y = \frac{-13}{4} [/tex]

[tex] y = -3.25 [/tex]

The coordinates of point B = (-0.75, -3.25)

Next, find the coordinates of point C, which is the midpoint of B(-0.75, -3.25) and D(9, -1) using the midpoint formula.

Midpoint (C) of BC, for B(-0.75, -3.25) and D(9, -1)  is given as:

[tex] M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}) [/tex]

Let [tex] B(-0.75, -3.25) = (x_1, y_1) [/tex]

[tex] D(9, -1) = (x_2, y_2) [/tex]

Thus:

[tex] C(\frac{-0.75 + 9}{2}, \frac{-3.25 + (-1)}{2}) [/tex]

[tex] C(\frac{8.25}{2}, \frac{-4.25}{2}) [/tex]

[tex] C(4.125, -2.125) [/tex]

The rest stops should be built at (-0.75, -3.25) and (4.125, -2.125) in the coordinate plane.

Answer:

tain, duc, viv, graph

Step-by-step explanation:

Answer:

tain, duc, viv, graph Also as 3, 3, 2, 3

Step-by-step explanation:

Answer:

Mean- 5

Median- 6

Mode- 6

Step-by-step explanation:

1. Place the numbers in order from smallest to biggest.

0,2,3,4,5,6,6,6,7,8,8

Finding the mean (average)- add all the numbers in thd data set together. Which would be 55. Then, you would divide that number by the number of the numbers in the data set. (11 numbers.) 55/11. 55 divided by 11 is 5, so that is your answer.

Finding the median- This is why we put the numbers in order. We are finding the number that is directly in the middle of the numbers. Mark one on each side until you get to the number in the middle. In this case, the median number will be 6.

Finding the mode- This one is easy. It's simply the number that repeats itself the most. In this case it would be 6 because it repeats itself 3 times.

Answer:

basicly each side equals 2.25 thats the only possible way i see it but im kinda dumb

Step-by-step explanation:

Answer:

3 1/2 inches

Answer:

There Is No Value For The Digit 0

Step-by-step explanation:

Answer:

data about a person's heartbeat, perspiration levels, respiration, and body movements.

Step-by-step explanation:

the answer to the question is that

biometric measures are useful for evaluating data like that of heartbeat, perspiration levels, respiration, body movements of a person.

Biometrics is useful for the evaluation of the physical characteristics of a person. such a measure is for authentication and security identification. the system gives allowance for certain features of a person to be recognized using biometric data and also algorithm.

Answer:

Step-by-step explanation:

I need help too

Answer: 10*1/20*1+10*1/20*3

(hints..... 1 experts =1/20*60mins and 1 dull =1/20*180mins)

Answer: Let your no.= x

double the number=2x

add 4 = 2x+4

subtract same number=2x+4-x

subtract 3=2x+4-x-3

I get my number plus 1=x+1

so equation we get

2x+4-x-3=x+1

x+1=x+1

x=x

it means  x is equal to all real number

So your number can be any real number

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{8 + 12j}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{2(4 + 6j)}[/tex]

Distribute 2 through the parentheses

[tex] \longrightarrow{ \sf{2 \times 4 + 2 \times 6j}}[/tex]

[tex] \longrightarrow{ \sf{8 + 12j}}[/tex]

Hope I helped!

Best regards! :D

devide 2/3 to 1/4 to get theanwser

Step-by-step explanation:

Given :

An infinite series :

[tex]a_1=26[/tex]

[tex]r=\dfrac{1}{2}[/tex]

To Find :

The sum of the infinite series .

Solution :

The sum of infinite series of G.P is given by :

[tex]S=\dfrac{a_1}{1-r}\\\\S=\dfrac{26}{\dfrac{1}{2}}\\\\\\S=52[/tex]

Therefore , the sum of the infinite series is 52 .

Hence , this is the required solution .

x = one number

x + 1 = second number

x + x + 1 = 129

Combine like terms

2x + 1 = 129

Subtract 1 from both sides.

2x = 128

Divide both sides by 2

x = 64

The locker numbers are 64 and 65

Answer:

no, that is not an infinite solution

Step-by-step explanation:

an infinite solution is where a number equals a number and where x gets crossed out. the answer listed here is a solution :)

Answer:

0.00009 is the answer.

Step-by-step explanation:

The decimal would be 9. if 9 was a decimal, since -6 is your exponent you would move 6 places to the left with left being negative and right being positive, therefore you would get 0.00009.

The required standard form of 9 times 10 Superscript negative 5 is 0.00009. Option D is correct.

A number system is described as a technique of composing to represent digits. It is the mathematical inscription for describing the numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmetic structure.

Here,
The given expression,
9 times 10 Superscript negative 5  = 9 × 10⁻⁵
= 9 / 10⁵
= 9 / 100000
= 0.00009

Thus, the required standard form of 9 times 10 Superscript negative 5 is 0.00009. Option D is correct.

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Answer:

c

Step-by-step explanation: