Identify the range of the function shown in the graph.
10+
8
8
4
-10 -8 18
4
-B
-10

Answer:

a) B

b) C

Step-by-step explanation:

The most likely cause for the change in pH after bubbling CO2 through the solution is the formation of carbonic acid.

When CO2 is bubbled through an aqueous solution, it can react with water to form carbonic acid (H2CO3). This reaction occurs due to the dissolution of CO2 in water, which undergoes a chemical equilibrium process. Carbonic acid is a weak acid that can release hydrogen ions (H+) into the solution, thus lowering the pH. The presence of carbonic acid lowers the pH value compared to the original pH of the solvent.

This phenomenon is commonly observed when CO2 is dissolved in water, such as in carbonated beverages. The carbonic acid formed from the reaction with CO2 contributes to the acidic properties of the solution. Therefore, the most likely cause for the change in pH after bubbling CO2 through the solution is the formation of carbonic acid, leading to a decrease in pH.

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Answer:

The amount of fence needed to surround the mentioned space is:

Step-by-step explanation:

To identify the amount of fence, you must take all the measurements given in the exercise:

As each side has 10 additional feet, that is the lounge area, you must add 20 feet to each side of the pool, this is because, in the case of the width, you must add 10 feet to the right side and 10 feet to the left side, in the case of the length, you must add to each side 10 feet to the upper part and 10 feet to the lower part, in this form, the measurements of the fence must be:

As you know, the length has two sides and the length has two sides too, by this reason, we must multiply each value by 2 to obtain the amount of fence  to all four sides of the lounge area:

As you can see, the amount of fence needed to go around the lounge area is 200 feet.

Answer:

The measure of ∠R = 60°

Step-by-step explanation:

The given parameters are;

Triangle XYZ is reflected across the y-axis to create triangle PQR

The measure of ∠Y = 30°

Triangle XYZ = A right triangle

The measure of ∠X = 90°

Where we have;

The image of the preimage of vertex X = P

The image of the preimage of vertex Y = Q

The image of the preimage of vertex Z = R

Therefore, given that a reflection is a rigid transformation, we have;

The measure of ∠X = The measure of ∠P

The measure of ∠Y = The measure of ∠Q

The measure of ∠Z = The measure of ∠R

Given that the measure of ∠Y = 30° and the measure of ∠X = 90°

∠X +∠Y + ∠Z = 180° (angle summation of a triangle property

∴ The measure of ∠Z = 180° - (∠X + ∠Y)  = 180° - (90° + 30°) = 60°

Therefore;

The measure of ∠Z = 60° = The measure of ∠R

The measure of ∠R = 60°.

Answer:

=6.5

Step-by-step explanation:

2−4+7=54.5

9−4=54.5

9−4+4=54.5+4

9=58.5

99=58.59

=6.5

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The volume of the composite figure is 60.14 ft³.

The figure is a composite figure because it's made up of two solid shape. The shapes are cylinder and cone.

Therefore,

volume of the figure = volume of the cone + volume of the cylinder

Therefore,

volume of the cone = 1 / 3 πr²h

where

Hence,

volume of the cone = 1 / 3 × π × 3² × 5

volume of the cone = 1 / 3 × π × 9 × 5

volume of the cone = 45 / 3 π

volume of the cone = 15π

volume of the cylinder = πr²h

volume of the cylinder = π × 3² × 4

volume of the cylinder = π × 9 × 4

volume of the cylinder = 36π

Hence,

volume of the figure = 15 + 36π

volume of the figure = 51π

volume of the figure = 51 × 3.14

volume of the figure = 160.14 ft³

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Answer:

7) sin 60° = 25√3/Z

0.8660 = 25√3/Z

Z = 50

8) using the Pythagorean theorem:

50² = (25√3)² + y²

2500 = 1875 + y²

y² = 625

y = 25

Answer:

z = 50

y = 25

Step-by-step explanation:

Using the 30, 60, 90 triangle rule

you can figure this out.

The rule says

With a 30, 60, 90 triangle

Given the shorter leg, (side across the 30 degree angle,

To find longer leg (side across the 60 degree angle):

Multiple shorter leg by radical 3.

To find hypotenuse (side across the 90 degree angle):

Multiple shorter leg by 2.

Thus

Shorter leg (side opposite 30 degree): 25

Longer leg (side opposite 60 degree):

25 radical 3

Hypotenuse(side opposite 90 degree): 50

There are several resources where you can find free SAT practice tests, including:

1.Official SAT Practice Tests:

2.Khan Academy:

3.Ivy Global:

4.PrepScholar

5.CrackSAT

6.Peterson's

There are several resources where you can find free SAT practice tests, including:

1.Official SAT Practice Tests: The College Board, the organization that creates and administers the SAT, offers eight official practice tests for free on their website. These tests are the most accurate representation of the real exam.

2.Khan Academy: The College Board has partnered with Khan Academy to provide free SAT practice materials, including full-length practice tests and personalized study plans based on your performance.

3.Ivy Global: Ivy Global offers a free SAT practice test with answer explanations that mimic the actual test.

4.PrepScholar: Prep Scholar offers a free online SAT practice test that closely resembles the real exam.

5.CrackSAT :  CrackSAT offers a wide range of free practice tests, including SAT Subject Tests.

6.Peterson's: Peterson's offers a free online practice test that includes a score report with detailed feedback.

Remember, the more practice you have, the more prepared you'll be for the SAT. So take advantage of these free resources and practice as much as you can.

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To prove that 3x ≤ y, assume the opposite, that is, 3x > y, rearrange the inequality substitute x < 2y and simplify, contradict the given condition that x < 2y, therefore, concluding that 3x ≤ y.

Start by assuming the opposite, that is, 3x > y.

From the given inequality,\(7xy \leq 3x^2 + 2y^2,\), we can rearrange to get:
\(7xy - 3x^2 \leq 2y^2\)

We can substitute \(x < 2y\) into this inequality:
\(7(2y)x - 3(2y)^2 \leq 2y^2\)

Simplifying, we get:
\(y(14x - 12y) \leq 0\)

Since y is a real number, this means that either y ≤ 0 or 14x - 12y ≤ 0.

If y ≤ 0, then 3x ≤ y is trivially true.

If 14x - 12y ≤ 0, then we can rearrange to get:
3x ≤ (12/14)y
3x ≤ (6/7)y
3x < y (since we assumed 3x > y)

But this contradicts the given condition that x < 2y, so our assumption that 3x > y must be false.

Therefore, we can conclude that 3x ≤ y.

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Answer:

e,compound transformation

Step-by-step explanation:

Answer:

See explanation

Step-by-step explanation:

We have the length of the rectangle as 2w - 6 and width of the rectangle as w. The perimeter of a rectangle is given by 2(l + b) hence;

perimeter of the rectangle = 2 (2w - 6 + w) = 6w -12

For an equilateral triangle in which each side is w + 8, its perimeter is;

3(w + 8) = 3w + 24

Then the question goes further to say that the perimeter of the rectangle and equilateral triangle are equal

6w -12 = 3w + 24

6w - 3w = 24 + 12

3w = 36

w =12

Hence perimeter of rectangle = 6(12) -12 = 60

Perimeter of equilateral triangle =3(12) + 24 = 60

Answer:

151°

Step-by-step explanation:

angle m_3 and m_4 must add up to 180 because they both lie on a straight line. Thus, we can do 180-29 to get m_4.

Answer:

p = 6; RPQ = 60 degrees

Step-by-step explanation:

Because RPS is 120 degrees and it is bisected by PQ (cut into 2 equal parts), we can determine that both sides are 60 degrees. Set the expression 5p+30 equal to 60 to find the value of p.

5p + 30 = 60

5p = 30

p = 6

So now you have determined that p = 6, and the measure of RPQ is 60 degrees.

Hope this helped!

Answer:

p = 6; RPQ = 60 degrees

Step-by-step explanation:

If you're writing an equation:

M=3+2m??

he is 23

Step-by-step explanation:

ok so 23-3=20

20÷2= M

Answer:

I can't see the map!!!

Step-by-step explanation:

please post again but with less points

The value of a/b is  \(\sqrt{6}\) / 2

The area of mathematics known as mensuration is concerned with measuring geometric shapes and their various characteristics, such as length, volume, shape, surface area, lateral surface area, etc. In fundamental mathematics, learn about mensuration.

Measurement of agricultural fields, floor areas required for purchase/selling transactions. Measurement of volumes required for packaging milk, liquids, solid edible food items. Measurements of surface areas required for estimation of painting houses, buildings, etc.

According to the question:-

Side of an equilateral triangle equals a/3.

Therefore, the equilateral triangle's area is equal to (1/2)(a/3)2 sqrt (3) / 2 = a2 [sqrt (3)/ 36].

Hexagonal side equals b / 6.

The area is thus 6 (1/2) (b/6)^2 sqrt (3) / 2 

= b^2 [ 3 sqrt (3) / 72] = b^2 [sqrt (3) / 24]

So

sqrt (3) / 36 a2 = sqrt (3) / 24 b2

So

A2 / B2 = [Sqrt(3)/24] / [Sqrt(3)/36]

a^2 / b^2 = [ 36 / 24 ]

a^2/ b^2 = 3/2

A/ B = Sqrt(3) / Sqrt(2)

=Sqrt(6) / 2

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If Tommy bakes x banana loaves and y zucchini loaves, then x and y are the number of loaves that Tommy bakes. The profit, which is provided by 2x + 3y, is what we want to maximize.

However, we must consider the limitations imposed by Tommy's supply of wheat and sugar. For each banana bread, he uses two cups of flour, two cups of sugar, and one cup of sugar for each zucchini bread, so we have:

2x + 3y <= 12 (the amount of wheat)

2x + 1.5y <= 9 (the quantity of sugar)

To obtain the best answer, we may formulate this as a linear programmed equation and solve it using a simplex algorithm or graphical approach:

Maximum: 2x plus 3y

According to: 2x + 3y = 12

2x + 1.5y <= 9

x >= 0

2x + 1.5y <= 9

The two constraints may be plotted on a graph using the graphical technique, and the possible solutions can be identified by finding the point where the two lines connect. The solution that is on the line (0, 0) that is closest to the origin and on or above the feasible area will be the best one.

Y = -(2/3)x + 6 and

Y = -(2/3)x + 6

The ideal answer is (3, 3), which is where the two lines cross. This means that Tommy should make 3 loaves of banana bread (x = 3) and 3 loaves of zucchini bread (y = 3) in order to maximize his profit, which would be (2 x 3) + (3 x 3) = $15.

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Answer:

100/200 is 0.5 (in the set of reals).

100 divided by 200 when simplified or reduced

100÷200 equals to 100

200

as a fraction, which equals to 1

2

, when simplified or reduced.

The fraction 100/200 is equal to the exact decimal number 0.5 (in the set of real num

Step-by-step explanation:

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Answer:

The answer I think is

Step-by-step explanation:

Answer:  The graph is shown below. It is nonlinear

==========================================================

Explanation:

I used GeoGebra to make the graph. Desmos is another option I recommend.

The equation we graph is y = (1/2)^x since we're splitting the paper in half each time. This is an exponential decay function. Note how the curve slopes downhill when moving to the right.

It appears the curve touches or crosses the x axis; which is misleading. Instead, the curve is getting closer and closer to this horizontal asymptote. It will never reach the x axis. Think of it like an electric fence.

As the graph indicates, we don't have a straight line. Therefore, the function isn't linear. It's a nonlinear curve.

Stratified Random Sampling method , was used to estimate the proportion of students at major universities who approve of the new health care law.

A simple random sample (SRS) of size n consists of n individuals from a population selected so that each set of individuals has an equal chance of being selected. Simple random samples of 200 out of 25,000 and 100 out of 5,000 graduate students are selected. The sampling method in the given question is stratified random sampling.

Stratified random sampling is a sampling method that involves dividing the population into smaller subgroups known as "strata". In stratified random sampling or stratification, strata are created based on common attributes or characteristics of members, such as income or educational attainment. Proportional Random Sampling is another name of name of Stratified Random Sampling.

When completing an analysis or research on a group of entities with similar characteristics, the researcher may find that the population size is too large to complete the research. To save time and money, the analyst may choose a more feasible approach by selecting a small group from the population. A small group is referred to as a " sample size ", which is a subset of the population used to represent the entire population. A sample can be selected from a population in a number of ways, one of which is the stratified random sampling method.

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Answer: 20%

Step-by-step explanation:

Answer:

(pie - 6) times(4 pie+3)

Step-by-step explanation:

Multiply the coefficient of the first term by the constant   4 • -18 = -72

Find two factors of  -72  whose sum equals the coefficient of the middle term, which is   -21 .

     -72    +    1    =    -71

     -36    +    2    =    -34

     -24    +    3    =    -21    

Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -24  and  3

                    4x2 - 24x + 3x - 18

Add up the first 2 terms, pulling out like factors :

                   4x • (x-6)

             Add up the last 2 terms, pulling out common factors :

                   3 • (x-6)

Add up the four terms of step 4 :

                   (4x+3)  •  (x-6)

            Which is the desired factorization

The critical point of the function \(z = 5x^2 - 7x + 8y + 2y^2\) is \((x, y, z) = \left(\frac{7}{10}, -2, \frac{169}{10}\right)\).

To find the critical point of the function \(z = f(x, y) = 5x^2 - 7x + 8y + 2y^2\), we need to solve the system of equations formed by setting the partial derivatives equal to zero:

\(\frac{\partial f}{\partial x} = 10x - 7 = 0\)
\(\frac{\partial f}{\partial y} = 8 + 4y = 0\)

From the first equation, we have \(10x = 7\), which gives \(x = \frac{7}{10}\).

From the second equation, we have \(4y = -8\), which gives \(y = -2\).

Substituting these values of \(x\) and \(y\) into the function \(f(x, y)\), we can find the corresponding value of \(z\):

\(z = f\left(\frac{7}{10}, -2\right) = 5\left(\frac{7}{10}\right)^2 - 7\left(\frac{7}{10}\right) + 8(-2) + 2(-2)^2\)

Simplifying the expression, we find \(z = \frac{169}{10}\).

Therefore, the critical point of the function is \((x, y, z) = \left(\frac{7}{10}, -2, \frac{169}{10}\right)\).

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a. The equation representing the water level L(x) (in ft), x days after January 1 is L(x) = 2.5 - 0.015x.

b. The inverse function for \(L^{-1}\) (x) is x = (2.5 - L)/0.015.

a. The function representing the water level L(x) (in ft), x days after January 1 can be written as:

L(x) = 2.5 - 0.015x

where x is the number of days after January 1.

b. To write an equation for \(L^{-1}\)(x), we need to find an expression for x in terms of L.

L(x) = 2.5 - 0.015x

0.015x = 2.5 - L

x = (2.5 - L)/0.015

Therefore, the equation for \(L^{-1}\)(x) is:

\(L^{-1}\)(x) = (2.5 - x)/0.015

This equation gives the number of days (x) required for the water level to reach a certain level (L).

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The question is -

Beginning on January 1, park rangers in Everglades National Park began recording the water level for one particularly dry area of the park. The water level was initially 2.5 ft and decreased by approximately 0.015 ft/day.

a. Write a function representing the water level L(x) (in ft), x days after January 1.

b. Write an equation for L^{-1} (x).

Answer:

3

Step-by-step explanation:

7/8=0

For a triangle with base of 10 inches and altitude of 16 inches, its area will be 80 in² (third option).

Calculation For the Area of the Triangle:

It is given that,

The base of the triangle, B = 10 inches

The altitude from the base of the triangle or height, H = 16 inches

Now, the formula used for finding the area of a triangle is given as follows,

Area, A = (1/2) × B × H

Substituting the given values of B and H in the above formula for area, we get,

A = (1/2) × (10 inches) × (16 inches)

A = 5 × 16 inches²

A = 80 inches²

Thus, the area of the triangle have base 10 inches and altitude 16 inches is 80 square inches.

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