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2 years ago

Which number best represents the location of point A on the number line shown?

Mathematics

1 answer:

cluponka [151]2 years ago

4 0

B) $7 \frac{3}{10}$

This is the only fraction that converts into 7.3 (location of point a).

Let me convert it for you

$7 \frac{3}{10} \\ \\ \frac{73}{10} \\ \\ 7.3$

The location of point A is 7.3

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Andrei has a job in the circus walking on stilts. Andrei is 11/10 meters tall. The foot supports of his stilts are 23/10 meters

vovangra [49]

First, add. 11/10 + 23/10 = 34/10
You can then simplify by finding the greatest common factor (2)
34/2, 10/2 = 17/5, or 3 and 2/5
Andrei is 3 and 2/5 meters tall

3 0

3 years ago

34=−2t can u help me

lys-0071 [83]

34 = -2t....divide both sides by -2
(-34/2) = (-2/-2)t
- 17 = 1t, or just t

so ur answer is : t = -17

3 0

3 years ago

State the angle relationship and state the measure of each angle indicated that makes lines u and v

vlabodo [156]

Answer:

Q9. ?=53° (corr angles, u//v)

Q10. ?=58° (alt angles, u//v)

7 0

2 years ago

Log16^*+log4^*+log2^*=7

ale4655 [162]

Answer:

$x = 16$

Step-by-step explanation:

Given

$log_{16}(x) + log_4(x) + log_2(x) = 7$

Required

Solve for x

$log_{16}(x) + log_4(x) + log_2(x) = 7$

Change base of 16 and base of 4 to base 2

$\frac{log_2(x)}{log_2(16)} + \frac{log_2(x)}{log_2(4)} + log_2(x) = 7$

Express 16 and 4 as 2^4 and 2^2 respectively

$\frac{log_2(x)}{log_2(2^4)} + \frac{log_2(x)}{log_2(2^2)} + log_2(x) = 7$

The above can be rewritten as:

$\frac{log_2(x)}{4log_22} + \frac{log_2(x)}{2log_22} + log_2(x) = 7$

$log_22 = 1$

So, we have:

$\frac{log_2(x)}{4*1} + \frac{log_2(x)}{2*1} + log_2(x) = 7$

$\frac{1}{4}log_2(x) + \frac{1}{2}log_2(x) + log_2(x) = 7$

Multiply through by 4

$4(\frac{1}{4}log_2(x) + \frac{1}{2}log_2(x) + log_2(x)) = 7 * 4$

$log_2(x) + 2}log_2(x) + 4log_2(x) = 28$

$7log_2(x) = 28$

Divide through by 7

$\frac{7log_2(x)}{7} = \frac{28}{7}$

$log_2(x) = 4$

Apply the following law of logarithm:

If $log_ab = c$ Then $b = a^c$

So, we have:

$x = 2^4$

$x = 16$

6 0

3 years ago

An investment of $2500 is put into a bank that has an annual rate of 6% compounded

Veseljchak [2.6K]

Answer:

$8017.84

Step-by-step explanation:

Because it is compounded annually, you have to use the formula

A= P(1+r)^t

(A is the future balance after t years, r is the % rate as a decimal, P is the starting amount -- the principal.)

So,

A = 2500(1 + 0.06)^20 (First, add inside the parentheses)

A = 2500(1.06)^20 (Then, do the exponent and the multiplication with a calculator)

A = 8017.84

3 0

3 years ago