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lukranit [14]
3 years ago
15

Which number line shows the solution to the inequality 4x + 5 >9?

Mathematics
1 answer:
docker41 [41]3 years ago
4 0

Answer:

C.

Step-by-step explanation:

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Perform each of the following computations using the measured quantities below.
mylen [45]
<h2>Question </h2>

Perform each of the following computations using the measured quantities below.

Write your final answer with the correct number of significant figures in proper scientific notation (one non-zero number to the left of the decimal point).

a. 917.2 + 45.63 = ___________

b. 3.423 x 10^-4 - 6.42 x 10^-3 =_________

<h2>Answer:</h2>

(a) 9.6 x 10²

(b) -6.1 x 10⁻³

<h2>Step-by-step explanation:</h2>

(a) 917.2 + 45.63

<em>First add the two numbers as follows (ensure that the decimal numbers are well aligned);</em>

   9  1   7 . 2

+   <u>   4  5 . 6  3</u>

   <u>9  6 2  . 8  3</u>

<u></u>

<em>To write the result in a proper scientific notation (one non-zero number to the left of the decimal point), </em>

i. Express the number is standard form

962.83 = 9.6283 x 10²

<em>Note that;</em>

From the result in (i)

9.6283 = mantissa

10 = base

² = power or exponent.

ii. Express the mantissa of the number in 1 decimal place.

9.6 x 10²

Therefore, the result in the proper scientific notation is <em>9.6 x 10²</em>.

(b)  3.423 x 10⁻⁴ - 6.42 x 10⁻³

Find the difference between the two numbers as follows;

i. Re-write the numbers so that they both have the same exponents:

0.3423 x 10⁻³ - 6.42 x 10⁻³

ii. Factor out 10⁻³

10⁻³(0.3423 - 6.42)

iii. Solve the bracket

10⁻³(-6.0777)

iv. Rewrite the result in (iii)

-6.0777 x 10⁻³

<em>To write the result in a proper scientific notation (one non-zero number to the left of the decimal point), </em>

i. Express the number is standard form

-6.0777 x 10⁻³       [already in standard form]

<em>Note that;</em>

From the result in (i)

-6.0777 = mantissa

10 = base

⁻³ = power or exponent.

ii. Express the mantissa of the number in 1 decimal place.

-6.1 x 10⁻³

Therefore, the result in the proper scientific notation is -6.1 x 10⁻³.

6 0
3 years ago
Find the perimeter of the figure:
Oksi-84 [34.3K]

Answer: idk but i could be

29 units



3 0
3 years ago
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Use the line tool to graph the function f(x)=12x−3 Graph the Problem Please
mestny [16]
F(x) = 12x - 3 would look like this graphed.

Hope this helped, you're welcome! :)

7 0
3 years ago
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3. A restaurant has 26 tables in its dining room. It takes the waitstaff 10 minutes to clear and set 4
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2 hr and 58 min

Step-by-step explanation:

8 0
3 years ago
An archaeological team is excavating artifacts from a sunken merchant ship on the sea floor. To help with the exploration, the t
denis-greek [22]

Answer:

1) 1500 meters.

2)  3600 meters.

Step-by-step explanation:

Firstly we need to find the value of angle x in the given figure attached to the answer and then use the trignometric identity to calculate the value for 1) and 2) part.

as we know that the triangle is a right angled triangle also second angle is given so we can find the value of the third triangle using the sum of all the angles of a triangle is 180°.

x+67.4°+90°=180°

x=22.6

1)

Now we know that:

\sin x=\dfrac{a}{3900}\\\\\sin 22.6=\dfrac{a}{3900}\\\\0.3843=\dfrac{a}{3900}\\\\a=3900\times 0.3843\\\\a=1498.77

Hence to the nearest meter the value of a will be: a=1500 meter.

Hence, When the probe reaches the ocean floor, the probe will be approximately 1500 meters below the surface, measured vertically from the surface

2)

We are asked to find the value of 'b'.

As \cos x=\dfrac{b}{3900}\\\\\cos 22.6=\dfrac{b}{3900}\\\\0.9232=\dfrac{b}{3900}\\\\b=3900\times 0.9232\\\\b=3600.48

Hence to the nearest meter the value of b is 3600.

When the probe reaches the ocean floor, the horizontal distance of the probe from the team’s ship on the ocean surface will be approximately  3600 meters.

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3 years ago
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