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2 years ago

100,000 equals 10 to the what power?

Mathematics

2 answers:

LiRa [457]2 years ago

5 0

Answer: 10 to the 5th power

Step-by-step explanation: Since 100,000 is a whole number, the exponent on our power of 10 will be positive.

To determine the value of the exponent, we first write a decimal point at the end of 100,000.

Next, we count the number of places we would need to move the decimal point in order to get 1.0.

In this problem, we would need to move the decimal point 5 places to get 1.0 which means that we will have an exponent of 5.

Therefore, 100,000 is equal to 10 to the 5th power.

Likurg_2 [28]2 years ago

4 0

100,000 equals 10 to the power of 5, hope helps.

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Which statement about isosceles triangles is true?

Paraphin [41]

C- I’m assuming that you meant to say that they have one angle that is equivalent to another
All isosceles triangles have two sides that are of equal length

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3 years ago

If x2 + y2 = 14 and xy = 5, find the value of (1/2 x + 1/2 y)2.

aleksley [76]

Answer:

(½x+½y)²=6

Step-by-step explanation:

x^2 + y^2 = 14, xy=5

(A+B)^2=A^2 +2AB+B^2... (*)

(1/2x+1/2y)^2 =(*)

(1/2x)^2 +2(1/2x)(1/2y)+(1/2y)^2 =

1/4x^2 +1/2xy+1/4y^2=

1/4(x^2 +y^2) +1/2(xy)=

1/4*14+1/2*5=

14/4+5/2=

14/4+10/4=

24/4=6

let me know if I'm wrong.

5 0

3 years ago

Read 2 more answers

If f(x) = 0.8(2 – x), what is the value of f(–2)?

Sergio039 [100]

With functions, you take the number that is in the ( ), so we have f(-2), and take the fomula f(x) = 0.8(2 – x) and everywhere you see an 'x' replace it with the -2 f(–2)=0.8(2 – (-2))

We will have to work with the expression of 0.8(2-(-2) When you want to evaluate these types of expressions, you want to use the Order of Operations: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction. First we have to evaluate the parentheses. What is 2-(-2)
its 4.

ok now you got 0.8 (4)

Now we have the remains of 0.8(4). If a number is within the parenthesis, then it means that we have to multiply the number inside with the number that is outside. What is 0.8*4 its 3.2 soooo your answer is going to be

3.2

5 0

3 years ago

7. In the accompanying diagram of rhombus CDEF, diagonal FD is drawn and the

tatiyna

Answer:

m∠CFD is 70°

Step-by-step explanation:

In the rhombus

Diagonals bisect the vertex angles

Every two adjacent angles are supplementary (their sum 180°)

Let us solve the question

∵ CDEF is a rhombus

∵ ∠E and ∠F are adjacent angles

→ By using the second property above

∴ ∠E and ∠F are supplementary

∵ The sum of the measures of the supplementary angles is 180°

∴ m∠E + m∠F = 180°

∵ m∠E = 40°

∴ 40° + m∠F = 180°

→ Subtract 40 from both sides

∵ 40 - 40 + m∠F = 180 - 40

∴ m∠F = 140°

∵ FD is a diagonal of the rhombus

→ By using the first property above

∴ FD bisects ∠F

→ That means FD divides ∠F into 2 equal angles

∴ m∠CFD = m∠EFD = $\frac{1}{2}$ m∠F

∴ m∠CFD = $\frac{1}{2}$ (140°)

∴ m∠CFD = 70°

6 0

3 years ago

twinlakes on the shelf of a covenience store lose their fresh tastines over time. we say that the taste quality is 1 when the tw

Zolol [24]

Answer:

The graph is shown below.

The time to make the taste to half is <u>4.265 s.</u>

Step-by-step explanation:

Given:

Initial value of the taste is, $Q_0=1$

Therefore, the quality of taste over time 't' is given as:

$Q(t)=Q_0(0.85)^t\\Q(t)=1(0.85)^t$

Now, when the taste reduces to half, $Q=0.5$

Therefore,

$0.5=1(0.85)^t$

Taking natural log on both the sides, we get:

$\ln(0.5)=\ln(0.85)^t\\\ln(0.5)=t\ln(0.85)\\t=\frac{ln(0.5)}{\ln(0.85)}=4.265\ s$

Therefore, the time to make the taste to half is <u>4.265 s.</u>

4 0

2 years ago