Which two operations will solve this equation: 4x − 5 = 1

Answer:

Step-by-step explanation:

(-3)ˣ⁻² = -243

(-3)ˣ⁻² = (-3)⁵

x-2 = 5

x = 7

Answer:

(1, 2)

Step-by-step explanation:

Use the midpoint formula

x1 + x2 / 2 ,  y1 + y2 / 2

-2 + 4 / 2 ,  -2 + 6 / 2 =

( 1, 2 )

Answer:

the answer is

T¹=5s

T²=1s

Am not sure about why there's two times , although perhaps the two times indicate the starting time and the other indicate the time when the stone hits 25m above the ground

Step-by-step explanation:

the solving steps are in the picture.

Answer:

43.6/21.2

Step-by-step explanation:

convert it into fraction since it will result in an irrational number.

Answer:

2.06

Step-by-step explanation:

43.6 / 21.2 = 2.05660

There are 3 significant figures so your answer should have 3 digits

2.05660 = 2.06

Answer:

36x²+96xy+64y²

(6x)²+2×6x×8y+(8y)²

it is in formula of (x+y)²

:.(6x+8y)² or (6x+8y)(6x+8y)

Answer:

Actual Mean = 43

Step-by-step explanation:

Given Mean = 38

No of observations = 9

we know,

Mean = Sum / N

38 = Sum/ 9

Sum = 38 x 9 = 342

Since the observation 27 was mistakenly taken instead of 72, we subtract 27 from the sum and add 72.

New sum = 342 - 27 = 315 again, 315 + 72 = 387

The no. of observations stays the same.

Actual mean = New Sum / N

= 387/9

=43

Step-by-step explanation:

arithmetic mean =38

n=9

mean=sum/n

sum=mean×n=38×9=342

mistakenly observation 27 is taken instead of 72

new sum becomes =342+72-27=387

now

new mean =new sum/n=387/9=43

the actual mean of the data is 43.

Answer:

50 miles per gallon, 50/1

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

no because if you multiply $329.50 by .6 you get $197.7, then with the additional 40% (.4) you end up having to pay $79.08

Answer:

4

Step-by-step explanation:

Answer:

x = 2.55 miles per day

Step-by-step explanation:

In English:     5 days * 'x' miles per day = 12 & 3/4 miles total

In algebra:    5x = 12.75

                       x = 12.75 ÷ 5

                      x = 2.55 miles per day

2 litres of water. A

Eric's drink 2 liters of water.

" Liter is a basic unit which is used to measure volume of any liquid."

According to question,

Capacity of one water bottle = 500mL

Capacity of 4 water bottles = [tex]500[/tex] × [tex]4[/tex]

                                              = 2000mL

1000mL = 1Liter

2000mL =2L

Hence we conclude that Option A is correct.

Learn more about Liters of water here

https://brainly.com/question/22384228

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Answer:

f(1) = 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = 4x - 1

f(1) is x = 1

Step 2: Evaluate

Answer:

Just tell her and if she says you dont tell her that you do. If she continues to hurt you then probaly call the police.

Step-by-step explanation:

Answer:

try to find someone close to you like a relative or best freind and tell them about her. After that try to confront her about it, and bring that close one with you to make you feel more strong. if she says you dont

have it and contiues hurting you tell the police.

Answer:

45

Step-by-step explanation:

Because this is a triangle all angles must add up to 180. so we already know 90 so 180-90=90 and 90/2 = 45. Hope this helps

Step-by-step explanation:

1. Label each side of the Triangle

Using the SOH CAH TOA method we can label zy as H (the longest line is always H). We can label xz as O (it is opposite the angle). We can label xy as A (it's the remaining side).

2. Cross out the 'useless' side

Now, we need to cross out the label which doesn't have an appointed piece of information to it. Meaning that A will remain as it labels 7cm. H will also remain as it labels the angle. O does not label anything and so we can cross it out.

3. Decide which method is correct

We are using the SOH CAH TOA method, this means we can either use SOH, CAH, or TOA to solve the problem. We know which method to use by seeing which of them does not contain the letter we crossed out. CAH does not contain O so it is the correct method.

4. Know the formula

Now we will use the formula of our found method. CAH begins with C and so does Cos. Therefore, Cos is our formula.

Cos( ) = A/H

5. Substitute in your numbers

Then, we will put in our numbers into the formula. The first slot we must fill in is within the brackets. Usually the angle goes inside of the brackets during trigonometry but we obviously do not know it. This means we will use 'x' inside of the brackets. Our formula now looks like this:

Cos(x)

Substitute in A and H. A will be the information appointed to the side we labelled A. H will be the information appointed to the side we labelled H.

Our formula will look like this:

Cos(x) = 7/12

6. Reverse it and calculate

Now we need to input an equation into our calculator. I don't know why but we will need to reverse our previous formula and type it into the calculator as:

cos-^1(7/12)

The result should say 54.31466529.

7. Round

Now we will round it by 1 decimal place. To do this we need to look at the number next to 3, it is not 5 or above 5. This means we will not round up,

 our answer is 54.3 degrees.

Answer:

side 1: 1.6

side 2: 2.3

side 3: 2.6

Step-by-step explanation:

side 1: 2x - 3

side 2: x

side 3: 2/3(x + 2x - 3) = 2x-2

(2x - 3) + x + (2x - 2) = 6.5

5x - 5 = 6.5

5x = 11.5

x = 2.3

side 1: 1.6

side 2: 2.3

side 3: 2.6

Given:

The rate of interest on three accounts are 7%, 8%, 9%.

She has twice as much money invested at 8% as she does in 7%.

She has three times as much at 9% as she has at 7%.

Total interest for the year is $150.

To find:

Amount invested on each rate.

Solution:

Let x be the amount invested at 7%. Then,

The amount invested at 8% = 2x

The amount invested at 9% = 3x

Total interest for the year is $150.

[tex]x\times \dfrac{7}{100}+2x\times \dfrac{8}{100}+3x\times \dfrac{9}{100}=150[/tex]

Multiply both sides by 100.

[tex]7x+16x+27x=15000[/tex]

[tex]50x=15000[/tex]

Divide both sides by 50.

[tex]x=\dfrac{15000}{50}[/tex]

[tex]x=300[/tex]

The amount invested at 7% is [tex]300[/tex].

The amount invested at 8% is

[tex]2(300)=600[/tex]

The amount invested at 9% is

[tex]3(300)=900[/tex]

Therefore, the stockbroker invested $300 at 7%, $600 at 8%, and $900 at 9%.

Answer:

I think 15 I dont see it in the options but im going to explain my answer

Step-by-step explanation:

4 + 4 = 8, 13 - 8 = 5 x 6 = 30 divided by 2 is 15

SO 8 x 13 = 104 - 15 = 89 so therefore its 89!

Answer:

£32

Step-by-step explanation:

12 + 4(5) = 32

Stay safe! <3

Answer:

Step-by-step explanation:

820/60=13.6

(rounded)

Answer:

9.32 seconds

Step-by-step explanation:

60 miles x 5280 feet per mile = 316,800 feet per hour

316,800 feet per hour/60 minutes per hour = 5280 feet per minute

5280 feet per minute/60 seconds per minute = 88 feet per second

820 feet/88 feet per second = 9.32 seconds

Answer:

Step-by-step explanation:

Given system:

Substitute z in the first two equations with z = 3 - kx:

In order the two equations above not to have a solution, the lines should be parallel. Parallel lines have equal slopes.

Solve the following equation for k:

it is not A, B, or C, i don't see D, but that would be the answer..

Answer:

D

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Answer:

7 hours

Step-by-step explanation:

4 hrs = 480km

1 hr = 480 ÷ 4 = 120km

840 ÷ 120 = 7 hours

Answer:

B) 81π units²

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Radius of a Circle Formula: r = d/2

Area of a Circle Formula: A = πr²

Step-by-step explanation:

Step 1: Define

Diameter d = 18 units

Step 2: Manipulate Variables

Radius r = 18 units/2 = 9 units

Step 3: Find Area

Answer:

1 and 2

Step-by-step explanation:

sum of 2 is 1+1 and product of 4 is 2x2

Answer:

The average rate of change is two feet per second.

Step-by-step explanation:

The height of an arrow shot up into the air from a height of three feet is given by the function:

[tex]h(t)=-2t^2+12t+3[/tex]

And we want to find its average rate of change from one second the four seconds.

The average rate of change is synonymous with the slope. Therefore, we can evaluate the height of the arrow after the first and fourth seconds, and find the slope between them.

After the first second, the height of the arrow is:

[tex]h(1)=-2(1)^2+12(1)+3=13[/tex]

And after the fourth second, the height of the arrow is:

[tex]h(4)=-2(4)^2+12(4)+3=19[/tex]

This yields two points: (1, 13) and (4, 19).

The slope between them is:

[tex]\displaystyle m=\frac{19-13}{4-1}=\frac{6}{3}=2[/tex]

Therefore, the average rate of change from one second to four seconds is two feet per second.

Answer:

26 highway signs

Step-by-step explanation:

15 ÷ 0.6 = 25 highway signs

Since they mentioned that there was one at the end of the road trip,

25 + 1 = 26