b) Round √7 to two decimal places. Enter your answer below. ​

Answer:

Step-by-step explanation:

x+9

Let x, be 4

4+9=13

given condition,

x+9<4x

4+9<4(4)

13<16

The answer is:

Work/explanation:

Our inequality is:

\(\sf{x+9 < 4x}\)

Flip it

\(\sf{4x > x+9}\)

Solve

\(\sf{4x-x > 9}\)

Combine like terms

\(\sf{3x > 9}\)

Divide each side by 3

\(\sf{x > 3}\)

Answer:

-8

Step-by-step explanation:

47 - 55

= 47 + (-55)

= -8

Hope it helps ⚜

Answer:

Water is the only molecule because of which life is possible on Earth. In outer space, the conditions are so hostile that Water cannot be found in its natural form- liquid. This liquid Water has been giving us sustenance throughout billions of years.

Step-by-step explanation:

mark me brainleit plss

By calculating, The GCF of the given numbers 49 and 28 is 7.

What is Algebraic expression ?

An algebraic expression is an expression that consists of numbers, variables and operators such as addition, subtraction, multiplication and division. These expressions can be used to solve equations and other mathematical problems. Algebraic expressions can also be used to represent relationships between different variables. For example, the expression 4x + 2y can be used to represent the relationship between two variables, x and y.

So lets first find the prime factorization of 28

prime factorization of 28 = 2 × 2 × 7

So lets first find the prime factorization of 49

prime factorization of 49 = 7 × 7

To find the GCF, multiply all the prime factors common to both numbers:

Therefore, The GCF  of the  given numbers 49 and 28 is 7.

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When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.

The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.

Replacing x with 1, we have:

ƒ(1) = -4(1) - 5

Simplifying further:

ƒ(1) = -4 - 5

ƒ(1) = -9

Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.

Let's break down the steps taken to arrive at the solution:

1. Start with the function f(x) = -4x - 5.

2. Replace x with 1 in the function.

3. Evaluate the expression by performing the necessary operations.

4. Simplify the expression to obtain the final result.

In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.

It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.

Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.

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Answer:

D stays for 1 and as B is -6

the length of BD should be 7

good luck <3!

Answer:

Step-by-step explanation:

Answer:

(c) 10, 404.

Step-by-step explanation:

Step 1.

To multiply 289 by 36, set them up as shown by arranging the two numbers in columns. We usually put the number with the smaller number of digits at the bottom.

Step 2.

Firstly, work out 6 × 289. The smaller figures in green are the tens figures carried over. Working from right to left:

6 × 9 = 54

Put the 4 in the appropriate column and carry the 5.

6 × 8 + 5(carried) = 53

Put the 3 in the appropriate column and carry the 5.

6 × 2 + 5(carried) = 17

Put the 7 in the appropriate column and carry the 1.

Step 3.

Lastly, work out 30 × 289.

This can be written as 3 × 289 × 10.

Because we are multiplying by 10, we place 1 zero to the right and then work out 3 × 289.

3 × 9 = 27

Put the 7 in the appropriate column and carry the 2.

3 × 8 + 2(carried) = 26

Put the 6 in the appropriate column and carry the 2.

3 × 2 + 2(carried) = 8

Step 4. Finally, the 2 rows are added together starting at the right. The smaller figures in green are the tens figures carried over.

0 + 4 = 4

7 + 3 = 10

Put the 0 in the appropriate column and carry the 1.

6 + 7 + 1(carried) = 14

Put the 4 in the appropriate column and carry the 1.

8 + 1 + 1(carried) = 10

Put the 0 in the appropriate column and carry the 1.

1 (carried) = 1

So: 289 × 36 = 10404

Mathematics done on paper should look something like this; ( Did the best I can on PC)

2 8 9

................. 3....6....×

1 7 3 4

 1 5 5  

8 6 7 0

.......  2......2.........  

1 0 4 0 4

1 1 1    

Hope this helped!

Answer:

No it cannot be

Step-by-step explanation:

Since an obtuse angle is more than 90 degrees, it can't have a complement

Hope this helps!

Answer:

The final answer is 5p^5 - 7.

Step-by-step explanation:

Here are the step-by-step instructions for simplifying the expression 2p^5 + (3p^5 - 7):

Start by simplifying the expression inside the parentheses using the distributive property of multiplication:

2p^5 + (3p^5 - 7) = 2p^5 + 3p^5 - 7

Combine like terms by adding the coefficients of the p^5 terms:

2p^5 + 3p^5 = 5p^5

Rewrite the simplified expression by combining the result from step 2 with the constant term (-7) from step 1:

5p^5 - 7

The final answer is 5p^5 - 7.

Answer:

5p⁵ - 7

Step-by-step explanation:

2p⁵ + (3p⁵ - 7) = 5p⁵ - 7

There are a total of 3 forwards on the team.

A fraction represents a part of the whole or group of objects.In a fraction, numerator and denominator are separated by a horizontal bar known as the fractional bar

Given:

2/8 of the players are forwards.

Total number of players on the team = 12

We will determine the total number of forwards on the team by multiplying the total number of players by the fraction representing the forwards.

Fraction representing the forwards:

= 2/8

= 1/4

Total forwards on the team:

= 12 * (1/4)

= 3.

Translated question:

Of the 12 players on the team, 2/8 are forwards. What are the total forward in the team?

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Answer:

27 degrees

Step-by-step explanation:

1= 63 degrees

Using alternating angles, acute angle made at T is 63 degrees.

Angles in a triangle add upto 180, thus, 90+ 63= 153

180-153 = 27

Answer: 19

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

9+10=21

Wait...

Answer:196.65

Step-by-step explanation:

Answer:

9/5 + 9/4 = 81/20

= 4 1/20

= 4.05

Step-by-step explanation:

81/20 is the smallest it gets as a fraction I believe

and A. should be 5/4 if i'm not mistaken

Answer:

a) 1 1/4 or b) 4 1/20

Step-by-step explanation:

a) This one is the easier of the two. 7/8+3/8= 10/8 ---» 1 2/8 and 2/8 is 1/4. So 1 1/4.

b) This one is a bit more tricky. You need to find a common denominator between the two, in this case we can use 20.

9/5 ---» 36/20 and 9/4 ----» 45/20.

Do some adding and you get 81/20 ---» 4 1/20.

Hope this helped!

Step-by-step explanation:

1.) 7=12 - 5 is true

4.) 6(7) - 2(12) = 22 is not true

Answer:

Monday

Step-by-step explanation:

Given

\(Wendy = 3\)

\(Xue = 4\)

\(Today = Wednesday\)

Required

Determine when next they will jog together

First, we calculate the L.C.M of the days they jog:

\(3 = 1 * 3\) --- Wendy

\(4 = 1 * 2 * 2\) ---- Xue

\(LCM = 1 * 3 * 2 * 2\)

\(LCM = 12\)

This means that they meet on the 12th day; The 12th day after a Wednesday is Monday.

Hence, they will meet on a Monday

Answer:

L1 and L2 are parallel

BAC = 58° as it is given in the question that AB bisects DAC

similarly BCE = y°

angle B = 90° ( from figure)

Y + 58° + 90° = 180 ( angle Sum property of a triangle).

Y + 148° = 180°

Y = 180 - 148

Y = 32°

The average speed formula is given by:

\(\displaystyle\sf \text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}}\)

Let's calculate the total distance first. The car travels 120 miles from point A to point B, and then returns the same distance. Therefore, the total distance is \(\displaystyle\sf 2 \times 120 = 240\) miles.

Now, let's calculate the total time. The time taken to travel from A to B can be calculated using the formula \(\displaystyle\sf \text{Time} = \frac{\text{Distance}}{\text{Speed}}\).

For the journey from A to B:

\(\displaystyle\sf \text{Time}_1 = \frac{120}{30} = 4\) hours

For the return journey from B to A:

\(\displaystyle\sf \text{Time}_2 = \frac{120}{40} = 3\) hours

The total time for the round trip is the sum of the individual times:

\(\displaystyle\sf \text{Total Time} = \text{Time}_1 + \text{Time}_2 = 4 + 3 = 7\) hours

Now, we can calculate the average speed:

\(\displaystyle\sf \text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}} = \frac{240}{7} \approx 34.29\) miles per hour.

Therefore, the average speed for the round trip is closest to 34.29 miles per hour.

Answer:

Playing with Numbers

∵ 31 z5 is divisible by 3. ∴ ( 9 + z) must be divisible by 3. since, z is a digit. ∴ Possible values of z are 0, 3, 6 or 9.

Remember that

The surface area of the given figure, is equal to the area of all its six faces

step 1

Find out the area of the base

The base is a rectangle of 19 in x 22 in

step 2

Find out the area of the top

The top is a rectangle of 13 in x 22 in

step 3

Find out the area of the two trapezoidal faces

step 4

Find out the area of the two lateral rectangular faces

therefore

The surface area is equal to

SA=418+286+448+704

Answer:91

Step-by-step explanation:

Answer:

6.3

Step-by-step explanation:

99(.07)=6.3

original price was 92.7 + 6.3 gives you 99

The coordinates in the solution to the systems of inequalities graphically is (6, 2)

From the question, we have the following parameters that can be used in our computation:

x + y > 3

x - 3y < 2

Next, we plot the graph of the system of the inequalities

See attachment for the graph

From the graph, we have solution to the system to be the shaded region

The coordinates in the solution to the systems of inequalities graphically is (6, 2)

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Answer:

\(x=8, y=3\)

Step-by-step explanation:

Recall that if a matrix multiplication of two matrices is defined, then the number of columns of the first matrix is equivalent to the number of rows of the second matrix.

Since matrix M has (11-x) columns and matrix N has y rows, and MN is defined, so it follows:

\(y=11-x----(1)\)

Since matrix N has (y+5) columns and matrix M has x rows, and NM is defined, so it follows:

\(y+5=x----(2)\)

Substitute (1) into (2):

\(11-x+5=x\\2x=16\\\therefore x=8--(3)\)

Substitute (3) into (1):

\(y=11-8=3\)

Answer:

9.98- 2.53 = 7.45

7.68 + 13.07 = 20.75

100.03 - 16.28 = 83.75

Step-by-step explanation:

 9.98

- 2.53

_____

7.45

  1   1        - Process of carrying 10's

   7.68

+ 13.07

_______

 20.75

0000 13 ⇔ What the number becomes after carrying

↑↑↑↑↑

100.03

- 16.28

______

83.75

Happy New Year!

3/4 x 3 = 9/4

Since you need to multiply first you add the 8 later after you solve the multiplication

8 9/4

Answer:

26 \(\frac{1}{4}\)

Step-by-step explanation:

8\(\frac{3}{4}\) = \(\frac{(8x4)+3}{4}\) = \(\frac{35}{4}\)

\(\frac{35}{4}\) x \(\frac{3}{1}\) = \(\frac{105}{4}\) = 26.25 = 26 \(\frac{1}{4}\)