PLEASE HELP!!! the photo has the question and options please help

PLEASE HELP!!! The Photo Has The Question And Options Please Help

Answers

Answer 1

The equation which expresses the number of bacteria, P, present at any time, t is P(t) = 4(2)^t

Equation

Number of bacteria = PTime = t

Check all options

When t = 1

P(t) = 8(4)^t

= 8(4)¹

= 8(4)

P(t) = 32

Not true

P(t) = 4(2)^t

= 4(2)¹

= 4(2)

= 8

True

P(t) = (2)^t

= (2)¹

= 2

Not true

P(t) = 8(2)^t

= 8(2)¹

= 8(2)

= 16

Not true

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Related Questions

An Independent group experiment or between-subjects experiment comparing four treatment conditions produces 20 scores in each treatment condition. How many individuals participated in the entire experiment

Answers

The number of individuals who participated in the entire experiment was 80.

In the question, we are informed that an Independent group experiment or between-subjects experiment comparing four treatment conditions produces 20 scores in each treatment condition.

We are asked to find the number of individuals who participated in the entire experiment.

The number of treatment conditions in the experiment is given to be 4.

The scores in each treatment condition for the experiment is given to be 20.

The total number of individuals who participated in the experiment will be the product of the number of treatment conditions in the experiment and the scores in each treatment condition for the experiment.

Thus, the number of individuals who participated in the entire experiment = 4*20 = 80.

Thus, the number of individuals who participated in the entire experiment was 80.

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All the students in a science class complete a 15-point extra-credit assignment to raise their test scores the new test score is 15 points more than the original score let x = original score let y = new score ehich equation represents this situation?

Answers

The equation that represents the situation is,

y = x + 15

Given Information

It is given  that the students complete a 15-point extra-credit assignment in order to raise their test scores.

The new test score is 15 more than the old test score.

We have to find an equation for this situation. A mathematical equation is a formula that uses the equals sign to connect two expressions in order to express their equality.

Forming Equation

Original Score = x

New Score = y ................... (1)

Thus, after the test, the score is raised by 15 points.

⇒ New score = x + 15 .................... (2)

The following equation can be deduced from (1) and (2)

y = x + 15

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Instructions: Find the measure of the indicated angle to the nearest degree.

Answers

The measure of the indicated angle to the nearest degree is 47°.

What is the measure of the angle?

Given the data in the question;

Adjacent = 36Hypotenuse = 53Angle θ = ?

From trigonometric ratio, Cosθ = Adjacent / Hypotenuse

Cosθ = 36/53

θ = cos⁻¹( 36/53 )

θ = 47°

Therefore, the measure of the indicated angle to the nearest degree is 47°.

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An arc of length 8 in. is intersected by a central angle in a circle with a radius of 3 in. What is the measure of the angle

Answers

Answer: [tex]\theta=\frac{8}{3} \text{ radians}[/tex]

Step-by-step explanation:

[tex]8=3\theta\\\\\theta=\frac{8}{3} \text{ radians}[/tex]

Use this information to answer the questions.

You are helping plan your sister's wedding. You decide to help set up a night to prepare the decorations and gift bags, but worry it all won't get done and you will be stuck doing the rest by yourself. Use the information below to help you know how long it will take to get everything done.

1.
You plan to have 2 people work on each task. How would you pair them up to complete each task in the shortest amount of time? Explain using rational expressions.

2.
What is the shortest amount of time it would take to complete all the tasks? If you know people have to leave your house by 9pm, what time should they come over to get started? Explain using rational expressions.

Answers

The shortest possible time to perform the tasks is 30 minutes, these activities would be performed in this time by the couple made up of you and your aunt 1.

How to calculate the shortest time to perform the wedding tasks?

To calculate the shortest time to complete the wedding tasks, we must carefully observe the information in the table and identify the time that each person takes to complete the tasks. Subsequently, we must identify the people who take the shortest time, in this case it is you and your aunt 1 as shown below:

You

2.5 + 5 + 1.5 = 9 hours

aunt 1

1.5 + 4 + 3 = 8.5 hours.

Additionally, we must subtract the two values, to know how long it will take in total for both people to perform the three required activities.

9 - 8.5 = 0.5 hours = 30 minutes

According to the above, the most efficient couple is your aunt 1 and you because you will take 30 minutes to complete the activities.

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Order the number from least to greatest square root of 1, 1/3,2.5,square root of 2

Answers

The required order of the number from least to greatest square root is

1/√3 < √1 < √2 < √2.5

Which number is greatest in value:

In the above numbers 1, 1/3 and 2.5 do not have square roots.

So, we will write 1, 1/3 and 2.5 inside the square root as shown below.

√1 = 1

√(1/3) = 1/√3 = 0.577350269

√2.5 = 1.58113883

√2 = 1.414

Arranging these numbers according to their value, we get the order as-

0.577350269 < 1 < 1.414  < 1.581138831

Hence, the required order of the number from least to greatest square root is 1/√3 < √1 < √2 < √2.5.

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The vehicle preference of police officers and firefighters is given in the table.


Police Officers Firefighters
Cars 12 3
Trucks 9 4
SUVs 15 2

Based on the information in the table, which of the following is an example of independent events.

Answers

Based on the information in the table, an example of independent events is  the: P(policer officer and chooses car).

What is an independent event?

An independent event can be defined as an event that isn't dependent on other events. Thus, it isn't affected by any previous event.

Based on the information provided, we can infer and logically deduce that an example of independent events is  the probability of being a policer officer and chooses a car because they aren't overlapping probabilities.

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Towards neural Earth system modelling by integrating artificial intelligence in Earth system science

Answers

Answer:

This has nothing to do with math

Step-by-step explanation:

I don't know what this even means

True or false: If neither variation in an A/B is statistically better, you pick the variation you like best and proceed to make the change.

Answers

It is false to state that " If neither variation in an A/B is statistically better, you pick the variation you like best and proceed to make the change."

What is A/B Testing?

A/B testing compares two variations of a website element, often by evaluating users' responses to variant A vs. variant B and determining which of the two variants is more successful.

When the variation seems to be equal, then another factor must be introduced into the metric analysis that helps to make the testing objective.

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What are the domain and range of the function below? graph
domain: [0,00)
range: (-00,00) domain [0,00) range: (-00,4] domain: (0,4) range:(-00,00) domain: (-00,4] range: [0,00)

Answers

The domain and range of the function is D) Domain: (-∞, ∞); Range: (-∞, ∞)

How to illustrate the information?

The domain is the input values, or the x values. We can put in any x values for this function.

Domain : (-∞, ∞)

The range is the output values or the y values. We can get any output values for this function

Range: (-∞, ∞)

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Complete question:

What are the domain and range of the function below?

A) Domain: (-∞, -5)

Range: (5, ∞)

B) Domain: (-5, -10)

Range: (5, 10)

C). Domain: (-5, 10)

Range: (-10, 5)

D) Domain: (-∞, ∞)

Range: (-∞, ∞)

Evaluate 5a + 5b, where a
=
-6 and b = -5.

Answers

Substitute -6 in a and -5 in b

5(-6) + 5(-5)

-30+(-25)

=-55

Hope it helps!

Answer:

-55

5x-6 = -30

5 x -5 = -25

-25 + -30 = -55

Step-by-step explanation:

hope this helps

HELP NOW GIVING BRAINLIEST AND 15 POINTS THANK U :) <3

Answers

Answer:

its not 15 points ):

Step-by-step explanation:

Is someone able to help me? You don’t have to explain just give answers

Answers

a. The continuous growth rate of the bacteria is 21%

b. The initial population of bacteria is 715

c. The culture will contain 2043 bacteria after 6 × 10⁻⁴ years

a. What is the continuous rate of growth of this bacteria population?

Since [tex]n(t) = 715e^{0.21t}[/tex] represents the number of bacteria in the culture.

This function is similar to an exponential function of the form  [tex]y(t) = Ae^{\lambda t}[/tex] where λ = growth rate

Comparing n(t) and y(t), we see that λ = 0.21

So, the continuous growth rate of the bacteria is 0.21 = 0.21 × 100 %

= 21%

So, the continuous growth rate of the bacteria is 21%

b. What is the initial population of the culture?

Since [tex]n(t) = 715e^{0.21t}[/tex] represents the number of bacteria in the culture, the initial population of bacteria is obtained when t = 0.

So, [tex]n(t) = 715e^{0.21t}[/tex]

[tex]n(0) = 715e^{0.21(0)} \\= 715e^{0} \\= 715 X 1\\= 715[/tex]

So, the initial population of bacteria is 715

c. When will the culture contain 2043 bacteria?

To find the time when the number of bacteria will be 2043, this means n(t) = 2043.

Since  [tex]n(t) = 715e^{0.21t}[/tex]

Making t subject of the formula, we have

t = ㏑[n(t)/715]/0.21

So, substituting n(t) = 2043 into the equation, we have

t = ㏑[n(t)/715]/0.21

t = ㏑[2043/715]/0.21

t = ㏑[2.8573]/0.21

t = 1.05/0.21

t = 4.99

t ≅ 5 hours

Converting this to years, we have t = 5 h × 1 day/24h × 1 year/365 days

= 5/8760

= 5.7 × 10⁻⁴ years

≅ 6 × 10⁻⁴ years

So, the culture will contain 2043 bacteria after 6 × 10⁻⁴ years

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The median for the samples from the school math contest are:
The median of Sample 1 from Grades 9 and 10 is 79.
The median of Sample 2 from Grades 11 and 12 is 86.
What conclusions can you derive from the random samples?

The students performed equally between all the grades.

The students in grades 11 and 12 scored higher than the students in grades 9 and 10.

The students in grades 11 and 12 are likely to do well in college.

The students in grades 9 and 10 were not allowed enough time in the school math contest.

The sample size was too small to derive a valid conclusion

Answers

A conclusion which can be derived from these random samples is that: B. the students in grades 11 and 12 scored higher than the students in grades 9 and 10.

What is a median?

A median can be defined as the middle number (center) of a sorted data set, which is when the data set is arranged in from the greatest to least or the least to greatest.

In Mathematics, the median of a data set is generally considered to be a better measure of center than the mean when there's an outlier in the data set.

Based on the information provided for these samples, we can logically conclude that the students in grades 11 and 12 scored higher than the students in grades 9 and 10 because a median score of 86 is greater than a median score of 79.

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Please help!
I don't understand part B.

Answers

The median value of x is 2.

According to the statement

we have given the values of x at some points then

and we have to find the median for the x.

We know that the median formula is {(n + 1) ÷ 2}th, where “n” is the number of items in the set and “th” just means the (n)th number.

and after put the values in this formula we get our median value for x.

So,

we have given that the f(x) is 0.2 when x is from -1 to 0

and f(x) is 0.2 +1.2x when x is grater than 0 but less than 1

and f(x) is 0 when x is less than -1 or grater than 1

From these statements it is clear that the the f(x) is only exist when the x lies in between from the -1 to 1.

So, the total value of x becomes is -1,0,1

Then according to the median formula

median = (n + 1) ÷ 2

median = (3+1) / 2

median = 2.

So, The median value of x is 2.

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Volume=
Help me please
I appreciate it so much :)

Answers

The volume of the given solid is 6322.75 cubic units.

What is the volume of the given figure?

It is given that,

The area of the regular pentagonal base, a = 35 units

Altitude of the given pyramid, h = 9 units

The formula for the volume of a pyramid with regular pentagonal base is given by,

V = (5/12) × tan(54°)ha²

Substituting the given values of a and h, we get the volume as,

V = (5/12) × tan(54°) × 9 × (35)²

V = (5/12) × (1.376) × 9 × 1225

V = (5/4) × (1.376) × 3 × 1225

V = (5/4) × 5056.8

V ≈ 6322.75 units³

Thus, the volume of the given figure comes out to be approximately equal to 6322.75 cubic units.

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4. Alex is painting a house. He uses 1/3 of the
paint he bought on the dining room. He uses
twice as much on the living room as on the
kitchen, where he uses 1 ½ gallons. He has 12
gallons of paint left. How much paint did Alex
buy?

Answers

Alex bought 24.75 gallons of paint to use for the house painting.

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

Let x represent the amount of paint bought by Alex, hence:

(1/3)x + 3/2 + 2(3/2) + 12 = x

X = 24.75 GALLONS

Alex bought 24.75 gallons of paint to use for the house painting.

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A quantity with an initial value of 570 grows exponentially at a rate of 35% every 2
decades. what is the value of the quantity after 39 years, to the nearest hundredth?

Answers

After 39 years, the value of this quantity is 1,023.35

What is the value after 39 years?

Here we know that:

The initial value is 570.There is an exponential growth.The rate of growth is 35% for every 2 decades (20 years).

Then the exponential equation is:

[tex]A(t) = 570*(1 + 0.35)^{t/20}[/tex]

Where t is the time in years.

So, after 39 years, the value of this quantity is given by:

[tex]A(39) = 570*(1 + 0.35)^{39/20} = 1,023.35[/tex]

After 39 years, the value of this quantity is 1,023.35

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The median for the samples from the 30 mile race of cars and SUVs are:
The median of Sample 1 for cars is 132.
The median of Sample 2 for SUVs is 115.
What conclusions can you derive from the random samples?


The sample size was too small to derive a valid conclusion.

SUVs can perform well under testing conditions.

Cars and SUVs performed equally well.

Cars are slower than SUVs.

Cars are faster than SUVs.

Answers

A conclusion which can be derived from these random samples is that: E. Cars are faster than SUVs.

What is a median?

A median can be defined as the middle number (center) of a sorted data set, which is typically when the data set is arranged in from the least to greatest or the greatest to least.

In Mathematics, the median of a data set is generally considered to be a better measure of center than the mean when there's an outlier in the data set.

Based on the information provided for these random samples from the race, we can infer and logically conclude that Cars are faster than SUVs because a median speed of 132 is greater than a median speed of 115.

In conclusion, it is important to note that the Cars used in this survey (research) are faster than SUVs because the median for the SUVs in Sample 2 is equal to 115 while the median for the Cars in Sample 1 is equal to 132.

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Suppose you are an engineer trying to recreate an experiment involving a weight on the end of a spring. This simulation will give you an idea of what the experiment will look like. For more information, you can visit this simple harmonic motion website. You are given the equation y(t)=2 sin 4 pi t + 5 cos 4pi t, which models the position of the weight, with respect to time. You need to find the amplitude of the oscillation, the angular frequency, and the initial conditions of the motion. You will also be required to find the time(s) at which the weight is at a particular position. To find this information, you need to convert the equation to the first form, y(t) = A sin (wt+0).

Answers

The canonical expression equivalent to sinusoidal model y(t) = 2 · sin (4π · t) + 5 · cos (4π · t) is y(t) = (√ 29) · sin (4π · t + 0.379π) .

How to find the canonical form of the equation for simple harmonic motion

Herein we have a simple harmonic motion model represented by a sinusoidal expression of the form y(t) = A · sin (C · t) + B · cos (C · t), which must be transformed into its canonical form, that is, y(t) = A' · sin (C · t + D). We proceed to perform the procedure by algebraic and trigonometric handling.

The amplitude of the canonical function is determined by the Pythagorean theorem:

A' = √(2² + 5²)

A' = √ 29

The angular frequency C  is the constant within the trigonometric functions from the non-canonical formula:

C = 4π

Then, we find the initial position of the weight in time: (t = 0)

y(0) = 2 · sin (4π · 0) + 5 · cos (4π · 0)

y(0) = 5

And now we calculate the angular phase below: (A' = √ 29, C = 4π, y = 5)

5 = √ 29 · sin (4π · 0 + D)

5 / √ 29 = sin D

D ≈ 0.379π rad

The canonical expression equivalent to sinusoidal model y(t) = 2 · sin (4π · t) + 5 · cos (4π · t) is y(t) = (√ 29) · sin (4π · t + 0.379π) .

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Which options reflect the requirements for factoring using quadratic form? (Select all that apply.)

Answers

Answer:

The exponent of the first term must have twice the value of the exponent of the second term.

Step-by-step explanation:

URGENT WILL GIVE BRAINLIEST

Answers

Answer:

27.7 m²

Step-by-step explanation:

Area of equilateral triangle:

     In regular polygon, all the sides and angles are equal. The polygon in the picture is a equilateral triangle.

 a = 8 m

 √3 = 1.732

   [tex]\sf \boxed{\bf Area \ of \ equilateral \ triangle= \dfrac{\sqrt{3}a^2}{4}}[/tex]

                                                       [tex]\sf =\dfrac{1.732 * 8 * 8 }{4}\\\\ = 1.732*2*8\\\\= 27.71\\\\= 27.7 \ m^2[/tex]

Question 12 of 20
Subtract.
(2x²+5)-(4x-3)
OA. 2x²-4x+2
OB. -2x² +8
OC. 2x2²-4x+8
OD. -2x²+2

Answers

Answer:

C

Step-by-step explanation:

Distribute the negative, (2x^2 + 5) + (-4x+3)

Add like terms, 2x^2 - 4x +(5+3)

2x^2-4x+8

c would be the answer

Roco draws two shapes. one of his shapes is 4 times longer and 4 times wider than the other. he found that the perimeter of the larger shape is 6 times larger than the perimeter of the smaller shapes and that the area is 16 times larger. is he correct? what did he calculate correctly: area, perimeter or both?

Answers

If two squares have different perimeters, the one with the larger perimeter will have a larger area. If two polygons have the same perimeter, then they must have the same shape. If two polygons have the same shape but are different sizes, then they must have different perimeters.

If two squares have equal areas, they will also have sides of the same length. But although "equal areas mean equal sides" is true for squares, it is not true for most geometric figures.

In order to find the perimeter or distance around the rectangle, we need to add up all four side lengths. This can be done efficiently by simply adding the length and the width, and then multiplying this sum by two since there are two of each side length.

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3. Jorge earns a 9% commission on all of his sales. He had sales of
$89,400 for the month. Harris works for a different company, and also
sold $89,400 for the month but made $447 more than Jorge. What is
Harris' commission rate?

Answers

The commission rate exists at $8,493 with a rate of 9.5%.

How to estimate the commission rate?

Jorge earns 9% from all his sales, so his commission exists

89400 × 0.09 = $8046

Harris made $447 more than that, so his commission exists

8046 + 447 = $8493

To estimate his commission rate, we can utilize the subsequent equation

89400 × rate percentage = 8493

Rate percentage = 8493 / 89400

Rate percentage = 0.095

Rate percentage = 9.5%

So Harris' commission exists at $8,493 with a rate of 9.5%.

Therefore, the commission rate exists at $8,493 with a rate of 9.5%.

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What steps may be necessary to predict data not included in a data set using a scatter plot and line of best fit? Select all that apply.

Answers

the necessary steps to predict data not included in a data set using a scatter plot and line of best fit are Options 2, 3, 4

Graph the data in a scatter plotExtend the line of best fit beyond the dataFind the average of the data

Steps involved in predicting data

In using the line of best fit also known as the slope, they following steps are involved;

Draw the line of best fitFind the direction of association between the two variables  

In using scatterplot, they following steps are involved;

Draw line of best fit  that passes close to most of the data pointsApproximately half of the data points should be below the line and half of the points above the line

This explains that the average of the set of data is found from the scatter plot and line of best fit.

Thus, the necessary steps to predict data not included in a data set using a scatter plot and line of best fit are Options 2, 3, 4

Graph the data in a scatter plot

Extend the line of best fit beyond the data

Find the average of the data

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The perimeter of the figure to the right, made up of identical squares, is equal to 56 cm. What is the area of the figure?

Answers

The area of the square will be 196cm².

How to calculate the area?

It should be noted that the perimeter of a square is the addition of all its sides. Therefore, the length of the side will be:

= 56/4

= 14

Therefore, the area of the figure will be:

= 14²

= 14 × 14

= 196cm²

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Your team is adding a new external feature to increase daily active users. What metrics would you consider to determine if the new feature will be successful

Answers

Some of the metrics that I would look at to determine whether or not a new feature will be successful are as follows:

How many people use the feature on a daily basis.How long do people spend using the feature.How often do people use the feature.How many people finish tasks using the feature.

What are metrics?

It should be noted that metrics are the measures of quantitative assessment used for comparing, and tracking performance or production.

Metrics are heavily relied on in the financial analysis of companies to make decisions.

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Identify the range of values for y.

The figure shows a triangle. The first side of the triangle goes from the lower left corner to the upper right corner. The second side of the triangle goes from the lower right corner to the upper left corner. An angle between these sides is an obtuse angle. The third side of the triangle goes from the lower left corner to the lower right corner. A line connects a vertex of the obtuse angle with a point on the third side. This line divides the third side into left and right segments. An angle between this line and the second side measures 60 degrees. An angle between this line and the left segment of the third side measures 105 degrees. The second side of the triangle is congruent to the left segment of the third side. The right segment of the third side has a length of 5 times y plus 8 units. The first side of the triangle has a length of 4 times y plus 15 units.

Answers

The range of values of y is -1.6 < y < 7

How to determine the range?

The complete question is added as an attachment

From the attached image, we have the following sides

4y + 15 and 5y + 8

Both sides must be greater than 0.

So, we have:

4y + 15 > 0 and 5y + 8 > 0

Rewrite as:

4y > -15 and 5y > - 8

Solve for y

y > -3.75 and y > -1.6

If y is less than -1.6, the side 5y + 8 would be negative.

So, we make use of the inequality y > -1.6 as one of the range

Also, 4y + 15 is greater than 5y + 8.

So, we have:

4y + 15 > 5y + 8

Evaluate the like terms

-y > -7

Divide by -1

y < 7

So, we have:

y > -1.6 and y < 7

Combine both inequalities

-1.6 < y < 7

Hence, the range of values of y is -1.6 < y < 7

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hwlppppppp!!!!!!!!!
look at pic

Answers

The correct option is the third one:

-1 ≤ y - 3 and y - 3 ≤ 1

Which compound inequality represents the absolute value inequality?

Here we have:

|y - 3| - 4 ≤ -3

We can rewrite it to:

|y - 3| ≤ -3 + 4

|y - 3| ≤ 1

This can be decomposed in two inequalities, which are:

(y - 3) ≤ 1

(y - 3) ≥ -1

Then we can see that the correct option is the third one, as both inequalities must be meet.

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which computer can be used where is no electricity ? 2 parallelograms. The pre-image is smaller than the image.How can you tell that this transformation is a dilation?The figure flipped upside down.The figure changed size.The figure completed a half turn.The figure did not change. Rebecca suffers from bulimia. at the eating disorders clinic, her therapist believes in utilizing only empirically supported treatments for this type of disorder, such as:______ what is the interrelationship between quality of life and population growth How are the products represented in the chemical equation for photosynthesis?O 0 +6C0O C6H12O6 + 6HOO 6CO2 + 6HOO C6H12O6 + 60 A right rectangular pyramid is sliced vertically (down) at the red line by a plane not passing through the vertex of the pyramid m. what is the shape of the cross section? In the diagram above, angle 1=40. Find the measure of angle 4 f(x)X(b)Use the graph to determine the limit visually (if it exists). (If an answer does not exist, enter DNE.)(a)lim f(x)X--1-2lim f(x)x 0Write a simpler function that agrees with the given function at all but one point.q(x) = Osteoporosis is caused by the decrease in the level of ___? For which interval is the function constant? (4,0) begin ordered pair negative 4 comma 0 end ordered pair (4,) left parenthesis 4 comma infinity right parenthesis (0,4) begin ordered pair 0 comma 4 end ordered pair (,4) please help me im in a rush How are the coordinates of the extreme value and the equation from part B in the form y=(x-h)^2-c related. Write an equation of the line that passes through $\left(-1,\ 7\right)$ and is perpendicular to the line $y=-\frac{1}{8}x-1$ . Amanda is a teacher working with a student named Chanse. Previously, whenChanse laughed loudly at the other kids in the class, Amanda spoke with him andasked him laugh quietly. Following an FBA and BIP, Amanda stopped speaking withChanse when he laughed loudly and instead continued speaking to the otherstudents quietly, Chanse began laughing louder and eventually began yelling. Thiscould be an example ofOa poor FBA.4an extinction burst.W 4%resurgence,implementation fidelity What is the equation in vertex form of aparabola with vertex (2, 4) that opensdownward and is stretched by a factor of3? Concrete blocks are 8in. high. if a 3/8-in. mortar joint is used, how high will a wal of 12 courses of concrete blocks be? Which function is undefined for x=0 ntist is conducting an investigation that involves water, silver, carbon dioxide, and oxyggroup of statements best describe all of the materials he is using in the investigation?ley are each compounds. Each of the compounds is made of atoms. All of the atoms anney are each made of matter. Some are compounds and some are elements. They all cney are all elements. Some contain molecules of the same type of atom. Some containhey are each made of matter. Some are compounds made of one type of element. Som What occurs when a temperate glacier meets its pressure-melting point? A cylinder with a base diameter of x units has a volume of x3 cubic units. a cylinder with a base diameter of x units has a volume of pi x cubed cubic units. which statements about the cylinder are true? select two options.