what is 10 1/2 minus 5 2/3

write as a mixed number and reduce to lowest terms

Answer: 6

Step-by-step explanation:

Because you have to multiply then remove the fraction and set equal to 0 and solve for x which I’m pretty sure gives u 6

Answer:

False

Step-by-step explanation:

There are some quadratic equations that cannot be solved using the factoring technique. That is why the quadratic formula exists, to solve equations that cannot be factored.

Answer 19.35 km

Step-by-step explanation:

We are looking for the Distance that Apostle Paul walked in 4.5 Hours!

I will be using the formula Distance=rate*time 1)

We DONT know the distance so I'll leave it as variable "D".

We know his rate of walking is 4.3 km/h, and we know he walked for a total of 4.5 hours.

Set up the following equation. D=4.3*4.5 2)

Simplify the equation above: D=19.35

Answer:

The first one is 11x=16, the second one is 4x=16, and the next one is 7x=12, and the last one is 3=1x hope this helps

Step-by-step explanation:

Answer:

31/10

Step-by-step explanation:

If the data is not skewed, then the mean is the best measure of center.

This then also includes the standard deviation because the standard deviation relies on the mean.

To get the mean, add up the data values:

5+6+7+7+7+8+8+9+9+9+9+9+10+10+11 = 124

Then divide by the sample size n = 15

124/n = 124/15 = 8.267 approximately

Once you determine the mean, you can then determine the standard deviation which involves a bit more complicated steps. The rough outline is:

Once again, step 1 shows how critical the mean is to finding the standard deviation. The standard deviation measures how far each value is from the mean on average. In other words, it's like a measure of the average distance from the mean.

Use of spreadsheet software is strongly recommended to keep track of everything. You can also use a standard calculator to compute the standard deviation. There are also tons of free online calculators that can help out with that as well.

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If the data was skewed to one side, then the median is the better measure of center because it is not affected by outliers. The IQR (interquartile range) is used instead of the standard deviation for skewed distributions.

Answer:

1. a = 1

2. See explanation below.

Step-by-step explanation:

First Question

Given:

[tex]\displaystyle \large{\log_b a = 0}[/tex]

Convert to exponential:

[tex]\displaystyle \large{\log_b a = c \to b^c = a}[/tex]

Thus [tex]\displaystyle \large{\log_b a = 0 \to b^0 = a}[/tex]

Evaluate:

[tex]\displaystyle \large{b^0 = a}[/tex]

We know that for every values to power of 0 will always result in 1, excluding 0 to power of 0 itself.

Solution:

[tex]\displaystyle \large{a = 1}[/tex]

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Second Question

Given:

[tex]\displaystyle \large{log_0 3}[/tex] and [tex]\displaystyle \large{\log_1 3}[/tex]

Let’s convert to an equation:

[tex]\displaystyle \large{\log_0 3 = x}[/tex] and [tex]\displaystyle \large{\log_1 3 = y}[/tex]

The variables represent unknown values of logarithm.

Convert to exponential:

[tex]\displaystyle \large{0^x = 3}[/tex] and [tex]\displaystyle \large{1^y = 3}[/tex]

Notice that none of x-values and y-values will satisfy the equations. No matter what real numbers you put in, these equations will always be false.

Hence, no solutions for x and y.

[tex]\rightarrow[/tex] Side(a) of the cube = [tex]\sf{\frac{1}{3}ft}[/tex].

[tex]\rightarrow[/tex] Surface Area of the cube with side [tex]\sf{\frac{1}{3}ft.}[/tex]

[tex]\rightarrow[/tex] Surface area of cube = [tex]\sf{6a^2}[/tex]

[tex]\rightarrow[/tex] Surface area of cube = [tex]\sf{6a^2}[/tex] (putting the value of a from the above given)

[tex]\rightarrow[/tex] [tex]\sf{=\:6×(\frac{1}{3})^2}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{=\:6×\frac{1}{9}}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{=\:\frac{6}{9}}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{=\:\frac{2}{3}ft^2}[/tex]

Therefore, surface area of the given square = [tex]\sf{=\:\frac{2}{3}ft^2}[/tex]

__________________________________

Hope it helps you:)

Answer:

Step-by-step explanation:

there are 6 square faces of a cube.

if side=x

surface area=6x²

=6(1/3)²

=6/9

=2/3 square foot

Answer:

65.62

Step-by-step explanation:

Given:

After eating a meal at a restaurant, we decided to tip 25%, building a grand total of $87.50.

To find:

Price before tip

Solution:

87.50 × 25% = 21.875

~Round~: 21.875 to 21.88

87.50 - 21 .88 = 65.62

Thus the price before the tip is 65.62

Check Answer:

Formula: Higher number - Lower number ÷ original number × 100

Solve:

87.50 - 65.62 = 21.88

21.88 ÷ 87.50=0.25005714285

0.25005714285 × 100 = 25.0057142857

Round - 25%

~lenvy~

Answer:

D

Step-by-step explanation:

[tex]4\sqrt{x2[/tex] means [tex](x^{2})^{\frac{1}{4} }[/tex] so then according to indices rule, the powers will be multiplied. Do the same thing for y and z as well, and you will get the answer

Answer:

9

Step-by-step explanation:

12ⁿ⁻⁵ = 12⁴

n - 5 = 4

n = 9

Answer:

should be 66% of children and 1650 children in the town

Step-by-step explanation:

Answer:

First one: 27

Second one: 1/8

Step-by-step explanation:

Hope this helps! :)

Answer:

Option 3 is the correct answer.

Answer: The number of tickets sold is the independent variable because it affects the amount of money earned.

Step-by-step explanation: I just took test got 100%

The number of tickets sold is the independent variable because it affects the amount of money earned.

Answer:

Step-by-step explanation:

Use law of cosine to calculate the other side.

c² = a² + b² -2ab Cos C

Here, c  is the length of the side which is  opposite side to ∠E

a = 29   ; b = 25  and C = 109

c² = 29² + 25² - 2*29*25*Cos 107

    = 841 + 625 - 1450* (-0.2923)

     = 1466 + 423.835

     = 1889.835

c =√1889.835

c = 43.47 ≈ 43

No, find ∠D using again use law of cosine

[tex]Cos \ \beta = \dfra{a^{2}+c^{2}}-b^{2}{2ac}\\\\\\ = \dfrac{29^{2}+43^{2}-25^{2}}{2*29*43}\\\\\\Cos \ \beta =\dfrac{841+1849-625}{2494}=\dfrac{2065}{2494}\\\\Cos \ \beta = 0.828\\\\\beta =Cos^{-1} \ 0.828\\\\[/tex]

β = ∠C = 34°

α = 180 - (34 +107)

α = ∠D = 39

Other angles are

∠C = 34°     and  ∠D°39

Proof -

So, in the first part we'll verify by taking n = 1.

[tex] \implies \: 1 = {1}^{2} = \frac{1(1 + 1)(2 + 1)}{6} [/tex]

[tex] \implies{ \frac{1(2)(3)}{6} }[/tex]

[tex]\implies{ 1}[/tex]

Therefore, it is true for the first part.

In the second part we will assume that,

[tex] \: { {1}^{2} + {2}^{2} + {3}^{2} + ..... + {k}^{2} = \frac{k(k + 1)(2k + 1)}{6} }[/tex]

and we will prove that,

[tex]\sf{ \: { {1}^{2} + {2}^{2} + {3}^{2} + ..... + {k}^{2} + (k + 1)^{2} = \frac{(k + 1)(k + 1 + 1) \{2(k + 1) + 1\}}{6}}}[/tex]

[tex] \: {{1}^{2} + {2}^{2} + {3}^{2} + ..... + {k}^{2} + (k + 1)^{2} = \frac{(k + 1)(k + 2) (2k + 3)}{6}}[/tex]

[tex]{1}^{2} + {2}^{2} + {3}^{2} + ..... + {k}^{2} + (k + 1)^{2} = \frac{k (k + 1) (2k + 1) }{6} + \frac{(k + 1) ^{2} }{6} [/tex]

[tex]{1}^{2} + {2}^{2} + {3}^{2} + ..... + {k}^{2} + (k + 1)^{2} = \frac{k(k+1)(2k+1)+6(k+1)^ 2 }{6} [/tex]

[tex]{1}^{2} + {2}^{2} + {3}^{2} + ..... + {k}^{2} + (k + 1)^{2} = \frac{(k+1)\{k(2k+1)+6(k+1)\} }{6}[/tex]

[tex]{1}^{2} + {2}^{2} + {3}^{2} + ..... + {k}^{2} + (k + 1)^{2} = \frac{(k+1)(2k^2 +k+6k+6) }{6} [/tex]

[tex]{1}^{2} + {2}^{2} + {3}^{2} + ..... + {k}^{2} + (k + 1)^{2} = \frac{(k+1)(2k^2+7k+6) }{6} [/tex]

[tex]{1}^{2} + {2}^{2} + {3}^{2} + ..... + {k}^{2} + (k + 1)^{2} = \frac{(k+1)(k+2)(2k+3) }{6} [/tex]

Henceforth, by using the principle of mathematical induction 1²+2² +3²+....+n² = n(n+1)(2n+1)/ 6 for all positive integers n.

_______________________________

Please scroll left - right to view the full solution.

Answer:

0.75mg

Step-by-step explanation:

6 years is its half life, meaning that half of it will have iradiated by that point. 1.5 / 2 = 0.75

Answer:

its 23

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

angle 2 is equal to angle 4, so that means angle 4 is also 130⁰.

130=2y

130/2=2y/2

65=y

Answer:

y = 65°

Step-by-step explanation:

Vertical Angle Theorem:  When two straight lines intersect, the opposite vertical angles are always equal (congruent) to each other.

⇒ m∠2 = m∠4

⇒ 130° = 2y

⇒ y = 130° ÷ 2

⇒ y = 65°

Total swimwear = 76 bikinis + 4 other types = 80 total

divide number of bikinis by total swimwear then multiply by 100:

76/80 = 0.95

0.95 x 100 = 95%

Answer: 95% are bikinis

[tex]- 10(2) + y = 4[/tex]

[tex] - 20 + y = 4[/tex]

[tex]y = 24[/tex]

[tex] - 10( 1) + y = 4[/tex]

[tex] - 10 + y = 4[/tex]

[tex]y = 14[/tex]

[tex] - 10(0) + y = 4[/tex]

[tex]0 + y = 4[/tex]

[tex]y = 4[/tex]

[tex] - 10( - 1) + y = 4[/tex]

[tex]10 + y = 4[/tex]

[tex]y = - 6[/tex]

[tex] - 10( - 2) + y = 4[/tex]

[tex]20 + y = 4[/tex]

[tex]y = - 16[/tex]

Answer:

-2 = -16

-1 = -6

0 = 4

1 = 6

2 = 16

Step-by-step explanation:

Answer:

water level is h=6.5 m, compute the time required to drain the tank to a level of h= 0.5m. Use the fourth-order Runge-Kutta method.

Step-by-step explanation:

water level is h=6.5 m, compute the time required to drain the tank to a level of h= 0.5m. Use the fourth-order Runge-Kutta method.

Answer:

Step-by-step explanation:

Inscribed angle of diameter is 90°

⇒ ∠ACB = 90°

In ΔACB,

∠A + ∠ B + ∠ACB = 180°   {Angle sum property of triangle}

a + 4a + 90 = 180

      5a + 90 = 180

           5a    = 180 - 90

            5a = 90

              a = 90 ÷ 5

a = 19 -----------(I)

In ΔCOB,

OC = OB   {Radius}

⇒ΔCOB is an isosceles triangle.

c = 4a    {angles opposite to equal angles are conguent}

c = 4*19    {From (I)}

c= 76

Given:

[tex]\frac{3}{9}[/tex] and [tex]\frac{1}{2}[/tex]

Finding a common denominator:

9 * 2 = 18

       -> If you need to stop here, a common denominator is 18.

Converting [tex]\frac{3}{9}[/tex]:

[tex]\frac{3}{9}[/tex] = [tex]\frac{3*2}{9*2}[/tex] = [tex]\frac{6}{18}[/tex]

Converting [tex]\frac{1}{2}[/tex]:

[tex]\frac{1}{2}[/tex] = [tex]\frac{1*9}{2*9}[/tex] = [tex]\frac{9}{18}[/tex]

       ->  [tex]\frac{6}{18}[/tex] and  [tex]\frac{9}{18}[/tex]

Answer:

You didnt give the chart so there for I can not give you a good answer

Step-by-step explanation:

Answer:

wow that is a tough one             the answer is 438654

Step-by-step explanation:

all that is to it

Answer:

3/1

Step-by-step explanation:

In triangle ABC, the known side is AC, which is equal to 6. The corresponding side to AC from triangle DEF would be FD, which is equal to 2. You divide 6/2 in order to get 3/1.

Answer:

5400

Step-by-step explanation:

8% of 5000 is 400. 5000 + 400 - 5400.

Answer:

$5400

Step-by-step explanation:

We need to find the amount of tax in $

So, if 100% = $5000

           8%   =  ?

cross multiply to be :  8 × 5000

                                        100

to get $400

Add it to the $5000 to get $5400

Step-by-step explanation:

171 km/h

travel distance = 855 km

855 / 171 = 5 hours

it took him 5 hours to fly the 855 km (theoretically to the hospital).

normally, with a plane, you can't land on or at a hospital. you would need a helicopter to be able to do that.

so, he could only fly to a nearby airport, and then travel from there to the hospital. but we have no information about that.