9. If h(x)=√x-3 +5, then for what value(s) of 10
x does h(x) = 3?

Answer:

#1 = -2

Step-by-step explanation:

First, we need to make -2 2/3 an improper fraction. An improper fraction is a fraction whose numerator is bigger than its denominator.

you first multiply the whole number (ignoring the negative sign for now) by the denominator:

2*3=6

then you add the numerator:

6+2=8

finally you put that number over the denominator and then put the negative sign back:

-8/3

Next, you can use keep change flip to solve the division

You keep the first fraction, change the division sign to a multiplication sign, and flip the numerator and the denominator of the second fraction:

-8/3 divided by 4/3 becomes -8/3 x 3/4

finally you multiply across as you would normally and simplify

-8/3 x 3/4= -24/12

-24/12 simplified is -2

:D

if you need help with the rest just comment on this response and I'll try to answer as soon as I can

Answer:6

Step-by-step explanation:

The length of ac is 20 and the length of ab is 14 so all you have to do is 20-14=6

The ratio strength of the final product is 1:0.4.

One technique to indicate concentration is through ratio strength, which uses a ratio to characterize drug concentration. In this context, concentration is defined as the quantity of a solute that makes up one unit in the whole volume of a solution or combination. You should be an expert in ratio strength calculations as a pharmacy student. Ratio strength uses a ratio to describe the medication concentration. So, what it implies is, you have one unit of solute contained in the complete amount of preparation and so generally your ratio strength is expressed as one is to something. In the case of a weight-in-weight, volume-in-volume, or weight-in-volume situation, you would interpret a ratio of 1:2,000 differently.

Drug strength = 800mg

whole volume =2ltrs

The ratio of the solution in 1 ltr is = 400 mg

The ratio strength of the solutions is = 1:0.4

To know more about ratio strength, visit;

https://brainly.com/question/12123928

#SPJ4

Answer:

The last one -4÷0 cannot be answered

Step-by-step explanation:

Answer:

-4/0

Step-by-step explanation:

This is an undefined answer, due to the fact that it would come out as:

0.00000e00000

This would be an undefined problem.

The dimensions of the rectangle is found as: (b = 90 cm) and (l = 40 cm

).

Let 'l' be the length of the rectangle.

Let 'b' be the width of the rectangle.

then,

Perimeter = 2(l + b)

The given value of the perimeter = 260 cm.

The length is 50 less than the width.

Thus, l = b - 50.

Put the values in the formula;

260 = 2( b - 50 + b)

Simplify the equation;

260 = 4b - 100

4b = 360

b = 90 cm

Put the value of b in the length;

l = b - 50

l = 90 - 50

l = 40 cm

The dimension are estimated as; (l = 40 cm) and (b = 90 cm).

To know more about the perimeter of the rectangle, here

https://brainly.com/question/17297081

#SPJ9

Answer:

203 1/3  calories

Step-by-step explanation:

I make a proportion for inches of pizza to calories

[tex]\frac{6}{610}[/tex] = [tex]\frac{16}{x}[/tex]  I know that a 6 inch pizza has 610 calories, so I am trying to figure out how many calories are in a 16 inch pizza.

I can cross multiply to get

6x = (16)(610)

6x = 9760  Divide both sides by 6

x = 1626 [tex]\frac{2}{3}[/tex]  This is how many calories are in a whole pizza.  Now I want to know how many calories are in 1 slice.  I would take this number and divide by 8.

1626 2/3 as an improper fraction would be

[tex]\frac{4880}{3}[/tex] ÷ 8 Which is the same as

[tex]\frac{4880}{3}[/tex] x [tex]\frac{1}{8}[/tex] =[tex]\frac{4880}{24}[/tex]=203 [tex]\frac{1}{3}[/tex]

Answer:

Step-by-step explanation:

7(i)

[tex]\displaystyle\\\frac{d}{dx}\{x*(3x-5)^\frac{5}{3} \}=\frac{dx}{dx} *(3x-5)^\frac{5}{3}+x*\frac{d}{dx} \{(3x-5)^\frac{5}{3} \}\\\\ \frac{d}{dx}\{x*(3x-5)^\frac{5}{3} \}=1*(3x-5)^\frac{5}{3} +x*\frac{5}{3}*(3x-5)^{\frac{5}{3} -1}*\frac{d}{dx} \{(3x-5)\}\\\\ \frac{d}{dx}\{x*(3x-5)^\frac{5}{3} \}=(3x-5)^\frac{5}{3} +\frac{x*5*(3x-5)^{\frac{2}{3}}*3 }{3} \\\\\frac{d}{dx}\{x*(3x-5)^\frac{5}{3} \}=(3x-5)^\frac{5}{3} +5x*(3x-5)^\frac{2}{3} \\\\[/tex]

[tex]\displaystyle\\\frac{d}{dx}\{x*(3x-5)^\frac{2}{3} \}=(3x-5)^\frac{2}{3}*((3x-5)^{\frac{5}{3}-\frac{2}{3}} + 5x)\\\\\frac{d}{dx}\{x*(3x-5)^\frac{2}{3} \}=(3x-5)^\frac{2}{3} *(3x-5)^\frac{3}{3}+5x) \\\\\frac{d}{dx}\{x*(3x-5)^\frac{2}{3} \}=(3x-5)^\frac{2}{3} *(3x-5+5x)\\\ \frac{d}{dx}\{x*(3x-5)^\frac{2}{3} \}=(8x-5)*(3x-5)^\frac{2}{3}[/tex]

7(ii)

[tex]\int\limits {(x*(3x-5)^\frac{2}{3}) } \, dx \\Let\ \sqrt[3]{3x-5} =u\\Hence,\\(\sqrt[3]{3x-5})^3=u^3\\ 3x-5=u^3\\3x-5+5=u^3+5\\3x=u^3+5\\[/tex]

Divide both parts of the equation by 3:

[tex]\displaystyle\\x=\frac{u^3+5}{3}\\\\dx=\frac{d}{du} \{\frac{u^3+5}{3}\} \\dx=\frac{3u^2}{3} du=\\\\dx=u^2du\\Hence,\\\\\int\limits {\frac{u^3+5}{3}* u^2*u^2} \, du =\\\\\int\limits {\frac{u^3+5}{3} *u^4} \, du =\\\\\int\limits {\frac{u^7+5u^4}{3} } \, du =\\\\\frac{1}{3} \int\limits {u^7} \, du +\frac{1}{3}\int\limits {5u^4} \, dxu =\\\\[/tex]

The equivalent expression of 8^-1 is 1/8

The expression is given as

8^-1

The above represents 8 exponent -1

The rule for negative exponents states that

a^-1 = 1/a

This means that

8^-1 = 1/8

Hence, the equivalent expression of 8^-1 is 1/8

Read more about equivalent expression at

https://brainly.com/question/2972832

#SPJ1

The given algebraic expression 8x ia a one degree polynomial forming the straight line.

Polynomials are algebraic expressions with indeterminates and constants in them.

For the given  algebraic expression 8x;

As, the highest exponent of the variable part 'x' is 1 that is why the degree of the polynomial is one.

This implies that for every value of x there is a single value of value of functions.

This will form the straight line when graph is plotted for them.

Thus, the given algebraic expression 8x is called the one degree polynomial.

To know more about the polynomials, here

https://brainly.com/question/2833285

#SPJ9

well, tis noteworthy that whenever we have an absolute value equation is really a piece-wise function in disguise, namely the absolute expression is really two in disguise.

[tex]8x=2|6x-2|\implies \cfrac{8x}{2}=|6x-2|\implies 4x=|6x-2|\implies \begin{cases} 4x=+(6x-2)\\ 4x=-(6x-2) \end{cases} \\\\[-0.35em] ~\dotfill\\\\ 4x=+(6x-2)\implies 4x=6x-2\implies 0=2x-2 \\\\\\ 2=2x\implies \cfrac{2}{2}=x\implies \boxed{1=x} \\\\[-0.35em] ~\dotfill\\\\ 4x=-(6x-2)\implies 4x=-6x+2\implies 10x=2\implies x=\cfrac{2}{10}\implies \boxed{x=\cfrac{1}{5}} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill x= \begin{cases} 1\\[1em] \frac{1}{5} \end{cases}~\hfill[/tex]

On the 4th day of the school, the secret Quinten shared with his closest friend will be known to 16 persons.

A sequence in which the ratio of any term and its previous term is equal to a fixed constant called common ratio [r] is called geometric progression. For example -

3, 6, 12, 24, ... and so on.

Given that Quinten shares a secret with his friend and each person that hears the secret shares the secret with a new person each day.

On the first day only 2 people know the secret i.e. Quinten and his close friend. Now, they both will tell one new person on second day, which means that by the end of second day four persons will know the secret. Now, these four persons will share with new individual, this gives us a total of 8 persons, who knows the secret by the end of day three and so on.

Now, we get the following sequence -

2, 4, 8, ...... and on.

Now, we can clearly see that -

4/2 = 8/4 = 2

Therefore, this sequence is a geometric progression with common ratio

r = 2.

Assume the 4th term of GP is x. Therefore -

x/8 = 2

x = 16

Therefore, on the 4th day of the school, the secret Quinten shared with his closest friend will be known to 16 persons.

To solve more questions on Geometric progression, visit the link below-

https://brainly.com/question/12482359

#SPJ1

complete the table above or below as appropriate of segun corresponda.

Spanish 22% English 25% Periodism 18% Physical Education 17% Biology 18%

1. Thirty-five percent of students studied science; hence, 35 (35 = thirty-and-five) = thirty-and-five.

2. One-hundred and thirty-three percent of students studied English or periodical studies — 25+18 = 43 (forty-three = one hundred and thirty-three).

3. One-sixty-five percent of students did not study science — 22+25+18 = 65 (sixty-five = one-sixty-five)

4. Eighty two percent of students did not study biology — 17 + 22 + 25 + 18 = 82 (eighty two Equals eighteen and two).

5. One-quarter and seven percent of students studied either English or Spanish — 25+22 = 47 (quarter and seven = 47).

6. One hundred and three percent of students — 17+18+18 = 53 (one hundred and thirty equals five) — did not study languages.

y tres)

To learn more about segun corresponda Visit : https://brainly.com/question/11159374

#SPJ9

y - x = 90° is  represents a circle's circumference.

What is meant by a circle's circumference?

The distance along a circle's perimeter is referred to as its circumference. In other words, the circumference of a circle is equal to the length of a straight line formed by opening up the circle.

connect O and B

∵ OB = OD

∴ ∠ OBD = ∠ODB = x°

∴ ∠BOD = 180° - 2x°

∵ ∠BAD = y°

∴ ∠C = 180° - y°

  ∠BOD = 2∠C

  180° - 2x°  = 2 ( 180 - y° )

  180° - 2x° = 360 - 2y°

  2y - 2x = 180°

   y - x = 90°

Learn more about circle's circumference

brainly.com/question/11213974

#SPJ9

Quadratic equations are all those equations that can be reformulated in a standard format (αx² + bx + c(=0) where the value of x is unknown and the values of the coefficients (a, b and c) are unknown.

These equations can always be solved using the quadratic formula, although sometimes it is also possible to use factorization or isolation of variables.

Expand squared

It is distributed

Combine like terms.

Move terms to the left

Subtract the numbers

Use the quadratic formula.

                        [tex]\large\displaystyle\text{$\begin{gathered}\sf x=\frac{-b\pm\sqrt{b^{2}-4ac } }{2a} \end{gathered}$}[/tex]

In standard form we identify "a", "b" and "c" from the original equation and add to the quadratic formula.

                      [tex]\large\displaystyle\text{$\begin{gathered}\sf x=\frac{-(-14)\pm\sqrt{(-14)^{2}-4\cdot1\cdot41 } }{2\cdot1} \end{gathered}$}[/tex]

Simplify

                                         [tex]\large\displaystyle\text{$\begin{gathered}\sf x=\frac{14\pm4\sqrt{2} }{2} \end{gathered}$}[/tex]

Separate equations

To solve for the unknown variants, we split the equation into two: one with a plus sign and the other with a minus sign.

                                       [tex]\large\displaystyle\text{$\begin{gathered}\sf x=\frac{14+4\sqrt{2} }{2} \end{gathered}$}[/tex]

                                       [tex]\large\displaystyle\text{$\begin{gathered}\sf x=\frac{14-4\sqrt{2} }{2} \end{gathered}$}[/tex]

Solve

Order and isolate the variant to find each solution.

                                            [tex]\large\displaystyle\text{$\begin{gathered}\sf x=7+2\sqrt{2} \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf x=7-2\sqrt{2} \end{gathered}$}[/tex]

                            [tex]\red{\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{\blue{Answer \ \ \longmapsto \ \ x=7\pm2\sqrt{2} }} \end{gathered}$}}}[/tex]

The linear equation for both Uber and Lyft  will be Y = 0.75x + 3 and

Y = 0.5x + 5 .

A linear equation is an algebraic equation of the form y = mx+b. Involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept. Occasionally, the above is called a "linear equation of two variables," where y and x are the variables.

Here we have,

Uber charge $3 fix on every trip and additional charges on per mile $0.75

So, linear equation be

Y = 0.75x + 3 where, x = no. of mile covered

Similarly, lyft charge $5 fix and $0.5 as an additional

So, linear equation be

Y = 0.5x + 5 where, x = no. of mile covered

Learn more about linear equation - https://brainly.com/question/13738061?referrer=searchResults

#SPJ4

Answer:

(2,7), (6,-2),

Step-by-step explanation:

After finding the points you plug them in to the distance formula:

d=√((x2-x1)²+(y2-y1)²)

d=√[(6-2)²+(-2-7)²]

Length of the other leg is  13.23 inches.

Pythagoras theorem states that the square of the length of hypotenuse is equal to sum of the squares of other two legs.Hence if L is the length of the other leg in inches, then20^2=5^2+l^2

or

400=225+L^2

or

L^2=400−225=175

Hence L=√175=13.23

Learn about more triangle here:

https://brainly.com/question/2773823

#SPJ9

The volume of the water filled in the cylinder A is 141.77  cm³.

A cylinder is a 3 solid that contains two parallel bases connected at a fixed distance by a curved surface.

The formula for the volume of the cylinder is;

Volume = πr²h

Where, π = 3.14,

radius r = 3 cm.

height h = 10 cm.

Put the values and obtain the volume.

Volume = (3.14)(3)²(10)

Volume = 282.74  cm³.

As, the cylinder is half filled with water;

Water volume = 282.74/2  cm³

Water volume = 141.77  cm³

Thus, the volume of water filled in cylinder A is 141.77  cm³.

To know more about the cylinder, here

https://brainly.com/question/23935577

#SPJ9

The correct question is-

Cylinder A has radius 3 cm and height 10 cm. Cylinder A is half full of water.

Work out the volume of water in Cylinder A.

The all four angles are ∠AEC=40o, ∠BEC=140o, ∠AED=140o, ∠BED=40o.

What are vertically  angles?

Vertical  angles are formed when two lines cross at a point. They are always on an equal footing. In other words, four angles are created anytime two lines cross or intersect. It is evident that two opposed angles are equal and are referred to as vertical angles.

Given that

∠BOC+∠AOC=280o   (AB and CD intersect at point E)

we know that, ∠AED and ∠BEC are vertically opposite angles ∠AED=∠BEC

we know that, ∠AED=∠BEC

so it can be written as

∠AED+∠AED=180o,

2∠AED=280o,

∠AED= 140o,

∠AED=∠BEC=140o

we know that ∠AEC and ∠AEC form a linear pair

So it can be written as

∠AEC+∠AED=180

substituting the values

∠AEC+140o=180o

∠AEC=40o

we know that ∠AEC and ∠BED are vertically opposite angles

∠AEC=∠BED=40o

Therefore, ∠AEC=40o, ∠BEC=140o, ∠AED=140o, ∠BED=40

To know more about vertical angles, visit:

https://brainly.com/question/24460838

#SPJ9

Answer:

Step-by-step explanation:

perimeter of rectangular: 2(a+b)

we know from the graph, assume that a = 2x b = x+ 3

so the perimeter (C) in terms of x is C = 2(2x + x +3) = 6x + 6

The mode is the most common value in a set of data values then the mode of the given set of data is 56.

The mode is the most common value in a set of data values. If X is a discrete random variable, the mode is the x value at which the probability mass function maximizes. In other words, it is the most likely value to be sampled.

The most common number, or the number that appears the most frequently. Example: Since the number 2 occurs three times, more than any other number, it is the mode of the sequence "4, 2, 4, 3, 2, 2."

Let the given data be 39, 41, 44, 50, 54, 56, 56, 56, 61

The mode is the most common value in a set of data values.

Then the mode of the given set of data is 56.

To learn more about mode, refer to:

https://brainly.com/question/14532771

#SPJ4

The area of the triangle is 1200√5 cm².

Given that, the sides of the triangle are 70cm,80cm and 90cm.

We need to find the area of a triangle using Heron's formula.

As per Heron's formula, the value of the area of any triangle having lengths, a, b, c, perimeter of the triangle, P, and semi-perimeter of the triangle as 's' is determined using the below-given formula:

Area of triangle = √s(s-a)(s-b)(s-c), where s = Perimeter/2 = (a + b + c)/2

Now, semi perimeter = (70+80+90)/2=120

Area of triangle=√120(120-70)(120-80)(120-90)

=√120×50×40×30

=√40×3×2×25×40×30

=40×5√3×2×3×2×5

=40×5×3×2√5

=1200√5 cm²

Therefore, the area of the triangle is 1200√5 cm².

To learn more about Heron's formula visit:

https://brainly.com/question/20934807.

#SPJ4

The number expression will be 14 + |-5| = 19 if Joy walked 14 steps forward, and Shaunte walked 5 steps backward option (A) is correct.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

It is given that:

Two friends are playing with water balloons. They each start at the bucket of balloons and walk in opposite directions before tossing their balloons at each other.

Joy walked 14 steps forward, and Shaunte walked 5 steps backward.

Let forward direction be the positive

The backward direction is negative.

The number expression can be represented;

The distance between two friends:

14 + |-5| = 14 + 5 = 19

14 + |-5| = 19

Thus, the number expression will be 14 + |-5| = 19 if Joy walked 14 steps forward, and Shaunte walked 5 steps backward.

Learn more about the arithmetic operation here:

brainly.com/question/20595275

#SPJ1

Answer:

1:27pm

Step-by-step explanation:

52 + 8 = 1 hour

29 - 8 = 21

1 hour and 21 minutes

2:48 - 1:21

1:27pm

The weighted average is -5

The formula for the weighted average is

                                        = Σwixi/Σwi               (1)

                                             Where wi = are the weights and

                                                         xi are the coordinates

We have been given that

w1 = 3   ,  x1 = -8            and  w2 = 1  , x2 = 4

Σwixi = w1x1 + w2x2

         = 3*-8  + 1*4

         = -24 + 4

        = -20

Σwi = w1 + w2

       = 3 + 1

      = 4

Now putting the required value in equation (1) we get

Weighted average = -20/4

                                 = -5

Hence the weighted average is -5

Learn more about weighted average here : https://brainly.com/question/14432034

#SPJ9

Each student on average has 6 books.

To find how many books on average each student has:

Therefore, each student on average has 6 books.

Know more about averages here:

https://brainly.com/question/20118982

#SPJ4