What is this expression in simplified form? 8 divided by 10 and 8 divided by 5

The root of a number is equivalent of being raised to its inverT

11 cubic root is = 1/11

X = 1/11

Answer:

e)  (3.77%, 8.70%)

95% confidence interval for the percentage of all medical students who plan to work in a rural community

(3.83% , 8.69%)

95% confidence level for the population proportion who blame oil companies for the recent increase in gasoline prices

(0.406 , 0.454)

Step-by-step explanation:

Step(i):-

Given random sample size 'n' = 369

Sample proportion

                              [tex]p = \frac{x}{n} = \frac{23}{369} = 0.0623[/tex]

95% confidence intervals are determined by

[tex](p^{-} - Z_{0.05} \sqrt{\frac{p(1-p)}{n} } , p^{-} + Z_{0.05} \sqrt{\frac{p(1-p)}{n} })[/tex]

[tex](0.0623 - 1.96 \sqrt{\frac{0.0623(1-0.0623)}{369} } , 0.0623 + 1.96\sqrt{\frac{0.0623(1-0.0623)}{369} })[/tex]

(0.0623 - 0.0246 , 0.0623 + 0.0246)

(0.0383 , 0.0869)

(3.83% , 8.69%)

95% confidence interval for the percentage of all medical students who plan to work in a rural community

(3.83% , 8.69%)

Step(ii):-

Given 43% of those polled blamed of companies the most for the recent increase in gasoline prices

sample proportion 'p' = 0.43

Given Margin of error (M.E) = 0.024

95% confidence intervals are determined by

[tex](p^{-} - Z_{0.05} \sqrt{\frac{p(1-p)}{n} } , p^{-} + Z_{0.05} \sqrt{\frac{p(1-p)}{n} })[/tex]

[tex](0.43 - 0.024 } , 0.43 +0.024 )[/tex]

(0.406 , 0.454)

Final answer:-

95% confidence level for the population proportion who blame oil companies for the recent increase in gasoline prices

(0.406 , 0.454)

Answer:

40 km away.

Step-by-step explanation:

a^2 + b^2 = c^2

In this case, a = 16 * 2 = 32 km, since he travels 16 km per hour for 2 hours.

b = 12 * 2 = 24 km, since she travels 12 km per hour for 2 hours.

32^2 + 24^2 = c^2

1,024 + 576 = c^2

1600 = c^2

c^2 = 1600

c = plus or minus 40

Since distance cannot be negative, they will be 40 km away.

Hope this helps!

The required, after 2 hours, Rachel and Amos will be 40 kilometers apart.

In a right-angled triangle, its sides, such as hypotenuse, and perpendicular, and the base is Pythagorean triplets.

Here,

We can use the Pythagorean theorem to solve this problem. After 2 hours, Rachel will have traveled 24 kilometers (12 km/hour x 2 hours) due east, and Amos will have traveled 32 kilometers (16 km/hour x 2 hours) due north. Let's call the distance between them after 2 hours "d".

Using the Pythagorean theorem, we can write:

d² = (24 km)²+ (32 km)²

Simplifying this expression:

d² = 576 km² + 1024 km²

d² = 1600 km²

Taking the square root of both sides,

d = 40 km

Therefore, after 2 hours, Rachel and Amos will be 40 kilometers apart.

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Answer:

Hey there!

You can use the ASA postulate, when two angles are congruent, and one side is congruent.

Hope this helps :)

Step-by-step explanation:

great circle = 9[tex]\pi[/tex] = r^2.[tex]\pi[/tex] --> r = 3 m

Surface area S = 4[tex]\pi[/tex].r^2 = 36[tex]\pi[/tex] m^2

Volume V = 4/3[tex]\pi[/tex].r^3 = 36[tex]\pi[/tex] m^3

The volume of a sphere is 36π m³ and the Surface area of sphere 36π m². Therefore, option A is the correct answer.

The volume of sphere is the measure of space that can be occupied by a sphere.  If the radius of the sphere formed is r and the volume of the sphere is V. Then, the volume of the sphere is given by: Volume of Sphere, V = (4/3)πr³

Given that, sphere with great circle area 9π m².

We know that, area of a circle = πr²

Now, πr²=9π m²

r=3 m

Here, volume of a sphere = 4/3 ×π×3³

= 36π m³

Surface area of sphere = A = 4πr²

= 4×π×3²

= 36π m²

Therefore, option A is the correct answer.

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Answer:

[tex]m\angle 2=53^{\circ}[/tex]

[tex]m\angle 7=74^{\circ}[/tex]

Step-by-step explanation:

It is given that quadrilateral GHJK is a rectangle and [tex]n\angle 3=37^{\circ}[/tex].

All interior angles of a rectangle are right angles. Diagonals are equal and bisect each other.

Now,

[tex]m\angle HKJ+m\angle HKG=90^{\circ}[/tex]    (Interior angles of a rectangle are right angles)

[tex]m\angle 3+m\angle HKG=90^{\circ}[/tex]

[tex]37^{\circ}+m\angle HKG=90^{\circ}[/tex]

[tex]m\angle HKG=90^{\circ}-37^{\circ}[/tex]

[tex]m\angle HKG=53^{\circ}[/tex]

In an isosceles triangle, angle with equal sides are equal.

[tex]m\angle JGK=m\angle HKG[/tex]

[tex]m\angle 2=53^{\circ}[/tex]

Therefore, measure of angle 2 is 53 degrees.

Let the diagonals intersect each other at point O.

In triangle OGK,

[tex]m\angle OGK+m\angle OKG+m\angle GOK=180^{\circ}[/tex]    (Angle su property)

[tex]53^{\circ}+53^{\circ}+m\angle GOK=180^{\circ}[/tex]

[tex]106^{\circ}+m\angle GOK=180^{\circ}[/tex]

[tex]m\angle GOK=180^{\circ}-106^{\circ}=74^{\circ}[/tex]

Vertical opposite angles are equal. So,

[tex]m\angle 7=74^{\circ}[/tex]

Therefore, measure of angle 7 is 74 degrees.

Answer:

Step-by-step explanation:

Solve 3x + 5y = 1 for y to obtain the slope of the given line:

5y = -3x + 1, or y = (-3/5)x + 1.

Any line perpendicular to this one has the slope which is the negative reciprocal of (-3/5):  That would be 5/3.

The desired line has slope 5/3 and passes through (2, 7);

Adapt y = mx + b by substituting the known values, to find b:

7 = (5/3)(2) + b.  The LCD is 3, so multiply each term by 3 to eliminate the fractional coefficient:

21 = 10 + 3b, or 11 = 3b.  Then b = 11/3, and the desired equation in slope intercept form is

y = (5/3)x + 11/3

To obtain the standard form, multiply all three terms by 3 again:

3y = 5x + 11, or

5x + 11 - 3y = 0, or

5x - 3y + 11 = 0

Answer:

a = 0.3 and b = - 1.1

Step-by-step explanation:

(x - 2)² = x² -4x + 4

Hence, x² - 4x + 4 = 3x - 6

x² - 7x + 10 = 0

(x - 5)(x - 2) = 0

∴ x = 5 or 2

f(5) = 25a + 5b = 2  ----- (i)

f(2) = 4a +  2b = -1  ------ (ii)

(i) X 2: 50a + 10b = 4 ----- (iii)

(ii) X 5: 20a + 10a = -5  ---- (iv)

Subtract (iv) from (iii): 30a = 9

a = 0.3

Substitute a into (ii) to obtain b

4(0.3) + 2b = -1

2b = -1 - 1.2 = -2.2

∴ b = -1.1

Answer:

Option B

Step-by-step explanation:

With a scale factor of 1/2, the dilated shape should be smaller because of the scale factor, So in Option B the dilated shape is smaller than the real one.

1) Option A is an enlargement

2) Option B is reduction

3) Option C is equality

Answer:

I hope it will help you....

Answer:

Hello!

~~~~~~~~~~~~~~~~~

Pollution needs to be dramatically reduced because it is destroying the environment we live in, contaminating our food and water, causing diseases and cancers in humans and wildlife, and destroying the air we breathe and the atmosphere that protects us from harmful ultra-violet radiation.

Step-by-step explanation: This the wrong subject but here is the answer.

Hope this helped you! Brainliest would be nice!

Answer:

Answer:

Step-by-step explanation:

Due to pollution many diseases can occur to u...... So we should stop using fuel in vehicles and instead use compressed natural gas (CNG)..... And before sewage water is released into oceans hey should be treated with chemicals...... That's all...

Hope this answer helps.....

Answer:

1. 4/5

2. 80%

Step-by-step explanation:

Answer:

16 unidades preparan simultáneamente 1200 empanadas por día.

Step-by-step explanation:

Si cada fuente tiene una capacidad de 75 empanadas por horneada y que la mayor cantidad posible ocurre cuando el volumen de producción se cocina simultáneamente, entonces el total de fuentes es la cantidad total de producción dividida por la capacidad de empanadas por fuente. Es decir:

[tex]x = \frac{1200\,emp}{75\,\frac{emp}{und} }[/tex]

[tex]x = 16\,unidades[/tex]

16 unidades preparan simultáneamente 1200 empanadas por día.

Answer:

The answer to this would most likely be the first option: A. 1,771

Step-by-step explanation:

I've seen the question before.

The volume of the right triangular prism is 1771  cubic meters

The volume of a right triangular prism can be estimated by using the formula:

[tex]\mathbf{V = \dfrac{1}{2} \times b \times h \times l}[/tex]

where;

[tex]\mathbf{V = \dfrac{1}{2} \times 14 \times 23 \times 11}[/tex]

V = 1771 m³

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Answer:

0.05 in per min.

Step-by-step explanation:

We simply divide 6 by 120 to find our unit rate:

6 in/120 min = 1/20 = 0.05 in/1 min

Answer:

1/20 Inch per. Minute

Step-by-step explanation:

6/120 -->

6/1 x 1/120 --> cancel out 6 and 120 for 1 and 20 respectively

1/1 x 1/20 --> 1 x 1/20 => 1/20

Hope this helps!

Answer:

11.47

Step-by-step explanation:

Use SohCahToa. In this problem, you are given the hypotenuse and you are trying to solve for the adjacent side so it will be cosine. (cosine = [tex]\frac{adjacent}{hypotenuse}[/tex])

1. set up the equation

cos55 = [tex]\frac{x}{20}[/tex]

2. Multiply both sides by 20 to solve for x

20 · cos55 = 11.47

Answer:

Solution,

From the figure,

[tex]cos \: 55 = \frac{PQ}{PR} [/tex]

[tex]cos \: 55 = \frac{PQ}{20} [/tex]

[tex]PQ = 20 \: cos \: 55[/tex]

[tex]PQ= 11.472[/tex]

[tex]PQ= 11 .47[/tex]

Hope this helps...

Good luck on your assignment...

Answer:

B = 11; C = -8

Step-by-step explanation:

When simplified I get 10x^3 + 11x^2 - 8x - 3

Answer:

[tex]\boxed{\mathrm{view \: attachment}}[/tex]

Step-by-step explanation:

The zeros of a function is where the function crosses the x-axis. The x-intercepts are the zeros of a function.

[tex]f(x) = (x - 1)(x - 7)[/tex]

Let output equal to 0.

[tex]0 = (x - 1)(x - 7)[/tex]

Set factors equal to 0.

[tex]x-1=0\\x=1[/tex]

[tex]x-7=0\\x=7[/tex]

The zeros of the function are [tex]x=1[/tex] and [tex]x=7[/tex].

Answer:

Step-by-step explanation:

Hope this Helps ;)

Answer:

102m^2

Step-by-step explanation:

2x3x17=102m^2

can u pls mark brainliest :)

Answer:

182 m²

Step-by-step explanation:

The formula for surface area of a rectangular prism is;

Surface Area = 2(wl) + 2(lh) + 2(hw) where w is the width, l is the length and h is the height.

SA = 2(2 * 17)m² + 2(17 * 3)m² + 2(3 * 2)m²

     = 2(34)m² + 2(51)m² + 2(6)m²

     = 68 m²  + 102 m² + 12 m²

     = 182 m²

Answer:

y=2x-8

Step-by-step explanation:

Every hour, temperatures INCREASE by two degrees, so 2x.

At the beginning (x=0), the temperature was -8 degrees, so -8.

So temperature as a function of time is y=2x-8

Answer:

y = 2x-8

Step-by-step explanation:

At the beginning = -8 F

Let y be the temperature and x be the no. of hours

So, the equation becomes

=> y = -8 + 2x

Writing it in proper form

=> y = 2x-8

Answer:

4 ( -x^3 + 2x - x)

Step-by-step explanation:

refer the attachment

Distribute the sum:

[tex]\displaystyle\sum_{i=1}^{24}(3i-2)=3\sum_{i=1}^{24}i-2\sum_{i=1}^{24}1[/tex]

Use the following formulas:

[tex]\displaystyle\sum_{i=1}^n1=n[/tex]

[tex]\displaystyle\sum_{i=1}^ni=\dfrac{n(n+1)}2[/tex]

[tex]\implies\displaystyle\sum_{i=1}^{24}(3i-2)=3\cdot\frac{24\cdot25}2-2\cdot24=\boxed{852}[/tex]

In case you don't know where those formulas came from:

The first one is obvious; you're just adding n copies of 1, so 1 + 1 + ... + 1 = n.

The second can be proved in this way: let S be the sum 1 + 2 + 3 + ... + n. Rearrange it as S = n + (n - 1) + (n - 2) + ... + 1. Then 2S = (n + 1) + (n + 1) + (n + 1) + ... + (n + 1), or n copies of n + 1. So 2S = n(n + 1). Divide both sides by 2 and we're done.

Answer:

x = -3/4, 1

Step-by-step explanation:

Factor left side of the equation.

(4x + 3)(x - 1) = 0

Set factors equal to 0.

4x + 3 = 0

4x = -3

x = -3/4

x - 1 = 0

x = 1

Answer:

x₁ = -3/4

x₂ = 1

Step-by-step explanation:

4x² - x - 3 = 0

4x² + 3x - 4x - 3 = 0

xx(4x + 3) - 4x - 3 = 0

xx(4x + 3) - (4x + 3) = 0

(4x + 3) × (x - 1) = 0

4x + 3 = 0 → x = -3/4

x - 1 = 0 → x = 1

Hope this helps! :)

Answer:

40/100 = 0.4

your welcome

Answer:

achievements

Step-by-step explanation:

Answer:

  (4.4, 4.4)

Step-by-step explanation:

The point S can be found as the weighted average of the end points. The relative weights are the reverse of the distances to the end points:

  RS : ST = 1 : 4

  S = (4R +1T)/5

  S = (4(2, 2) +(14, 14))/5 = (22, 22)/5

  S = (4.4, 4.4)

Answer:

x = 1.

Step-by-step explanation:

y = k(x + 3)

When x = 3 y = 12 so

12 = k(3 + 3)

6k = 12

k = 2.

So the relation is y = 2(x + 3)

When y is 8:

8 = 2(x + 3)

2x = 8 - 2*3 = 2

x = 1.

Answer:

3/2

Step-by-step explanation:

Using two points we can find the slope of a line

(0,1) and  (2,4)

The slope is given by

m= (y2-y1)/( x2-x1)

   = (4-1)/(2-0)

   = 3/2

Answer:

a = 3

Substitute the value of point (a,7) in the equation and solve for a

5(a)-7=8

5(a)=8+7

5(a)=15

a = 15/5 = 3

God Bless and stay safe!

- Eli <3

Answer:

261/44

Step-by-step explanation:

hope this helps. :)

Answer:

9 1/2

Step-by-step explanation:

7 1/2 - 1 5/8 + (1 3/8 × 2 7/11)​ =

= 7 4/8 - 1 5/8 + 11/8 * 29/11

= 6 12/8 - 1 5/8 + 29/8

= 5 7/8 + 3 5/8

= 8 12/8

= 8 + 8/8 + 4/8

= 9 1/2