[tex] \bf \huge x {}^{2} + 5 = 6[/tex]

solve for x :



[tex] \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ [/tex]
[tex] \tiny \textsf{Song recommendations \:? }~ [/tex]

Answers

Answer 1

Given :

x² + 5 = 6

Subtract 5 from each side :

x² + 5 - 5 = 6 - 5x² = 1

Take the root on each side :

√x² = √1x = ±1

Hence, the values of x are :

[tex]\fbox {x = 1}[/tex][tex]\fbox {x = -1}[/tex]
Answer 2

[tex]x^2+5=6\\x^2=1\\x=1 \vee x=-1[/tex]


Related Questions

Use the data in the table below and a graphing calculator to describe how a linear model compares to a quadratic model. Analyze the "parameters" (as they are called in Desmos) a, b, c for the quadratic model and m & b for the linear model. Write a sentence or two that explains why both graphs look the same, even if you zoom out very far.

PLEASE HELP ME

Answers

The quadratic model and the linear model of the table of values are the same

The linear model of the data

To do this, we make use of a graphing calculator.

From the graphing calculator, we have the following summary:

Sum of X = 0Sum of Y = 113Mean X = 0Mean Y = 22.6Sum of squares (SSX) = 10Sum of products (SP) = 28

The regression equation is

y = mx + b

Where

m = SP/SSX = 28/10 = 2.8

b = MY - bMX = 22.6 - (2.8*0) = 22.6

So, we have:

y = 2.8x + 22.6

See attachment for graph (1)

The quadratic model of the data

To do this, we make use of a graphing calculator.

From the graphing calculator, we have the following summary:

a = 0b = 2.8c = 22.6

0 X^2 +2.8 X +22.6

The regression equation is

y = ax^2 + bx + c

So, we have:

y = 0x^2 + 2.8x + 22.6

See attachment for graph (1)

Why both graphs look the same

The graphs look the same because when the quadratic model is simplified, it gives the linear model.

This in other words mean that:

The quadratic model and the linear model of the table of values are the same

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Why is partitioning a directed line segment into a ratio of 1:3 not the same as finding One-third the length of the directed line segment?
The ratio given is part to whole, but fractions compare part to part.
The ratio given is part to part. The total number of parts in the whole is 3 – 1 = 2.
The ratio given is part to part. The total number of parts in the whole is 1 + 3 = 4.
The ratio given is part to whole, but the associated fraction is One-third.

Answers

The reason why partitioning and fractioning are different is because; The ratio given is part to part. The total number of parts in the whole is 1 + 3 = 4.

Why is partitioning different from fractioning?

It follows from the task content that a close analysis of the statement of ratios; 1:3 implies that the whole is divided into four parts; 1+3 = 4.

On the contrary, one-third simply means 1 out of 3 equal parts of the line.

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Answer: OPTION C

Step-by-step explanation:

The gas mileage for a certain model of car is known to have a standard deviation of 6 mi/gallon. A simple random sample of 36 cars of this model is chosen and found to have a mean gas mileage of 28.4 mi/gallon. Construct a 98% confidence interval for the mean gas mileage for this car model.

Answers

The 98% confidence interval for the mean gas mileage for this car model is (26.07,30.73).

Confidence intervals are defined as a range of values with a known chance that a parameter's value falls inside them.

The confidence interval of statistical data is computed using the formula:

[tex](\overline{x} - Z\frac{\sigma }{n},\overline{x} + Z\frac{\sigma }{n})[/tex]

where [tex]\overline{x}[/tex] is the mean, Z is the Z-score corresponding to the confidence interval, σ is the standard deviation, and n is the sample size.

In the question, the sample size (n) = 36, the mean of the sample ([tex]\overline{x}[/tex]) = 28.4 mi/gallon, the standard deviation (σ) = 6 mi/gallon.

The confidence interval given to us is 98%.

Z-score corresponding to this (Z) = 2.33.

Thus, the confidence interval can be calculated as:

(28.4 - 2.33{6/√36},28.4 + 2.33{6/√36})

= (28.4 - 2.33,28.4 + 2.33)

= (26.07,30.73).

Thus, the 98% confidence interval for the mean gas mileage for this car model is (26.07,30.73).

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Find the polynomial function with real coefficients of a least possible degree having zero 2 of multiplicity 2, and zero i of single multiplicity.

Answers

The polynomial function with real coefficients of a least possible degree having zero 2 of multiplicity 2, and zero i of single multiplicity is                   x⁴ - 4x³ + 5x²- 4x + 4 = 0. This can be obtained by finding factors and multiplying them.  

 

What is the required polynomial ?

Given that zeroes, 2 of multiplicity 2, and i of single multiplicity, that is,       (x - 2), (x - i) and (x + i) are the factors of the polynomial.

Thus the polynomial can be written as  

(x - 2)²(x - i)(x + i) = 0 ((x - 2) is squared as multiplicity is 2)

(x² - 4x + 4)(x²-i²) = 0

(x² - 4x + 4)(x²+1) = 0

x⁴ - 4x³ + 4x² + x² - 4x + 4 = 0

⇒ x⁴ - 4x³ + 5x²- 4x + 4 = 0

Hence the polynomial function with real coefficients of a least possible degree having zero 2 of multiplicity 2, and zero i of single multiplicity is                   x⁴ - 4x³ + 5x²- 4x + 4 = 0.

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Two of them are drawn simultaneously from a deck of 48 cards.
Calculate the probability that:
a) both are cups
b) At least one cup
c) One is a cup and the other is a sword

Answers

The required probability is
a) both are cups is 0.05

b) At least one cup is 0.19

c) One is a cup and the other is a sword is   0.06

What is probability?

Probability can be defined as the ratio of favorable outcomes to the total number of events.

a) for both are cups

P= 12*11/48*47
p = 0.05

b) for  At least one cup
p = 12*36/48*47
p = 0.19

c) for One is a cup and the other is a sword
p = 12*12/48*47
p = 0.06

Thus, the required probability is 0.05, 0.19, 0.06

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Which function has an average rate of change of -4 over the interval [-2,2]?

Answers

Only p(x) has an average rate of change of -4 over [-2, 2].

Find the average rate of change of each given function over the interval [-2, 2]]:

The average rate of change of m(x) over [-2, 2]:

What is the average rate?

The average rate of change = [tex]\frac{m(b)-m(a)}{b-a}[/tex]

Where, a = -2, m(a) = -12

b = 2, m(b) = 4

Plug the values into the equation

The average rate of change

[tex]=\frac{4-(-12)}{2-(-2)} =\frac{16}{4}[/tex]

The average rate of change = 4

The average rate of change of n(x) over [-2, 2]:

The average rate of change = [tex]\frac{n(b)-n(a)}{b-a}[/tex]

Where, a = -2, n(a) = -6

b = 2, n(b) = 6

Plug the values into the equation

The average rate of change

[tex]=\frac{6-(-6)}{2-(-2)} \\=\frac{12}{4}[/tex]

The average rate of change = 3

The average rate of change of q(x) over [-2, 2]:

The average rate of change = [tex]\frac{q(b)-q(a)}{b-a}[/tex]

Where, a = -2, q(a) = -4

b = 2, q(b) = -12

Plug the values into the

The average rate of change = [tex]\frac{-4-12}{2-(-2)}[/tex]

= [tex]\frac{-16}{4}[/tex]

The average rate of change = -2

The average rate of change of p(x) over [-2, 2]:

The average rate of change = [tex]\frac{p(b)-p(a)}{b-a}[/tex]

Where, a = -2, p(a) = 12

b = 2, p(b) = -4

Plug the values into the equation

The average rate of change = [tex]\frac{-4-12}{2-(-2)}[/tex]

[tex]=\frac{-16}{4}[/tex]

The average rate of change = -4

The answer is D.

Only p(x) has an average rate of change of -4 over [-2, 2].

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A number line goes from negative 5 to positive 5. Point D is at negative 4 and point E is at positive 5. A line is drawn from point D to point E.

What is the location of point F, which partitions the directed line segment from D to E into a 5:6 ratio?
Negative one-eleventh
One-eleventh
Two-fifteenths
Fifteen-halves

Answers

Directed numbers are numbers that have either a positive or negative sign, which can be shown on a number line. Therefore, point F is Fifteen-halves of line segment DE.

A number line is a system that can show the positions of positive or negative numbers. It has its ends ranging from negative infinity to positive infinity. Thus any directed number can be located on the line.

Directed numbers are numbers with either a negative or positive sign, which shows their direction with respect to the number line.

In the given question, the distance between points D and E is 9 units. So that dividing 9 units in the ratio of 5 to 6, we have;

[tex]\frac{5}{6}[/tex] x 9   = [tex]\frac{45}{6}[/tex]

          = [tex]\frac{15}{2}[/tex]

Therefore, the location of point F, which partitions the directed line segment from d to E into a 5:6 ratio is    [tex]\frac{15}{2}[/tex]. Thus the answer is Fifteen-halves.

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Answer:

1/11

Step-by-step explanation:

Got it right on assignment

A squared garden has area 1764m2. Find its length and perimeter?​

Answers

Answer:

length = 42 mperimeter = 168 m

Step-by-step explanation:

A squared garden has area 1764m2. Find its length and perimeter?​

Area = l²

inverse formula

l = √Area

length

√1764 = 42 m

Perimeter l × 4

42 * 4 = 168 m

Answer:

length=42m

perimeter=168m

Step-by-step explanation:

Area=L^2

L^2=1764

L=√1764

L=42m

Perimeter=42+42+42+42 which equals to 168m

Of the houses in Lucia's neighborhood, 1/10 are teal and another 7/10 are red. What
fraction of the houses are either teal or red?
(D) Write your answer as a fraction or as a whole or mixed number.

Answers

Answer:

the answer is 8/10

Step-by-step explanation:

The reason is that both of the denominators are the same so that you can add the two numerators and then get the answer.

Fill in the missing statements and reasons in this proof. Number your reasons 1 through 5 as they would be shown in the chart below.


Given: m∠LOM = m∠JKI;

m∠MON = m∠IKH

Prove: m∠LON = m∠HKJ


would rlly appreciate ur help

Answers

From the given condition m ∠LOM = m ∠JKI, m ∠MON = m ∠IKH it is proved that m ∠LON = m ∠HKJ as they are congruent angles.

What are congruent angles?

Congruent angles are defined as angles with equal measure. According to the question,

m ∠LOM = m ∠JKI  (given congruent angles)   _____(1)

m ∠MON = m ∠IKH  (given congruent angles)  _______(2)

Add both the side angle  m ∠MON in (1) we get m ∠LOM + m ∠MON = m ∠JKI + m ∠MON

Replace angle  m ∠MON = m ∠IKH from (2)  on right-hand side we get,

m ∠LOM + m ∠MON = m ∠JKI + m ∠IKH  ____(3)

m ∠LOM + m ∠MON = m ∠LON  ( M is the interior point of ∠LON)  ___(4)

m ∠JKI + m ∠IKH = m ∠HKJ  ( I is the interior point of ∠HKJ)  ___(5)

Form (3), (4), and (5) we get, m ∠LON = m ∠HKJ  (Congruent angles)

Hence, from the given condition it is proved that m ∠LON = m ∠HKJ, are congruent angles.

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The root rafter of a house has been raised to a height of 18 yards at the ridge. Half of the length of the run measures 14 yards. Find the length of the rafter.

Answers

The length of the rafter as detailed in the question is approximately; 22.80 yards

How to use Pythagoras theorem?

The formula for Pythagoras theorem is;

a² + b² = c²

where;

a and b are adjacent and opposite sides of the triangle formed

c is the hypotenuse

Now, a rafter is a sloped member of a roof structure. Thus, if the rafter is raised to a height of 18 yeards, it means that is the vertical height of the top of the rafter to the bottom of the kingpost.

Now, if half the length run is 14 yards, it means that half of the tie beams is 14 yards. Thus, from the base of the rafter to the center of the tie beams is 14 yards. Thus, we will use Pythagoras theorem to find the length of the rafter.

c = √(14² + 18²)

c = √520

c = 22.80 yards

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For each of the following a) identify the inverse function needed to solve for the indicated angle and b) solve for the angle (round to the nearest tenth of a degree).

Answers

The angle is the cosine inverse function because base over hypotenuse. Then the angle will be 37°.

What is trigonometry?

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

The triangle with base of 4 units and hypotenuse of 5 units.

We know that the angle is given by the cosine inverse function because base over hypotenuse. Then we have

⇒ cos⁻¹ (4/5)

Then the angle will be

⇒ 36.869 ≈ 37°

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According to the data in the figure, find the value of x and y.

Answers

Answer:

This is a educated guess, but x is 80 and y is 100.

Step-by-step explanation:

My logic here is that the triangles are the same because of all the congruent lines and stuff. But from there, you know that both the right and the left side are 40 degrees. You know the total degree of a triangle is 180 so 180 - 40 - 40 is 100. So the final angle is 100. If you look at x, its on the outside, but on a line. If you can imagine a circle, its half, so its a 180 degrees total. Then its 180 = x + 100. So x is 80. And then by that same logic its y = 100.

(LOOK AT IMAGE)
A robot can be programmed to draw any regular polygon.

The instructions seen in the example below are used to draw a regular 10- sided polygon with side lengths of 3 cm.

By changing the numbers in the program below, write down the simplest set of instructions needed to make the robot draw a regular 12-sided polygon with side lengths of 5 cm.​

Answers

Repeat the following 12 times:

>            Move forward 5 cm

>            Turn clockwise 30°

Want to know how I found this out? Well, let me tell you.

First, they gave us the information that a 12-sided polygon is to be modeled with side lengths 5 cm. So, that basically gives us our first step. That was easy!

Well, now this is a bit harder. How many degrees do we move? There're so many possibilities! Well, not quite.

According to the Polygon Exterior Angle-Sum Property, the exterior angles of any polygon is always 360 degrees. So, we just divide 360 by how many sides there are in the polygon.

There are 12 sides in this polygon, so, [tex]\frac{360}{12}[/tex] is equal to 30 degrees per side. Well, now we have the second step! We're all done. Congratulations!

Out of 54 jelly beans, two were found to be defective. What is the experimental probability a jelly bean is defective?

26/27

1/27

2/27

24/27

Answers

Answer:

1/27

Step-by-step explanation:

To find the probability of a defective jelly bean

P(defective) = number defective/ total

                     =2/54

                      = 1/27

I am studying geometry this summer but can’t solve this question what would be the correct answer

Answers

Answer: F

Step-by-step explanation:

Bisectors of an angle split the angle in half which you can visually see from the image. So, the answer is F.

Geometry help please
7

Answers

Answer:

you should download AIR MATH

A student received test grades of 83, 90, and 88. What was her grade on a fourth test if the average for the four tests is 84

Answers

Her grade on a fourth test is 75.

The average of e for the four tests is 84.

By substituting the given data in the equation, we get

Let the fourth test marks be x

83 + 90 + 88 + x / 4 = 84

261 + x / 4 = 84

261 + x = 336

x = 336 - 261

x = 75

An average may be described as the sum of all numbers divided by means of the whole quantity of values.

A mean can be defined as an average of the set of values in a sample of data. In different words, a median is also called the mathematics mean.

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PLEASE HELP ME ASAP. I REALLY NEED THIS DONE

Answers

Answer:

x = 65

Step-by-step explanation:

using the Altitude- on- Hypotenuse theorem

(leg of big Δ )² = (part of hypotenuse below it ) × (whole hypotenuse)

x² = 25 × 169 = 4225 ( take square root of both sides )

x = [tex]\sqrt{4225}[/tex] = 65

PLEASE help answer all 5 questions

Answers

1)We have 2 red marbles and 9 marbles in total, so the probability of drawing a red marble, is the number of red marbles over the total number of marbles.

[tex]p(r) = \frac{2}{9} [/tex]

2)We have 3 blue marbles and 9 marbles in total, so the probability of drawing a blue marble, is the number of blue marbles over the total number of marbles.

[tex]p(b) = \frac{3}{9} = \frac{1}{3} [/tex]

3)Since we put the marbles back, the sample space stays 9 balls,so we have to multiply the probability of drawing a red marble then a blue one. Since order matters (red before blue) we do not account for permutations.4)Putting the marbles back in the bag makes this these events independent, as the sample space does not change.5)

[tex]p(r \: then \: b) = \frac{2}{9} \times \frac{1}{3} = \frac{2}{27} [/tex]

Select the correct answer. Consider the following system of equations. Use this graph of the system to approximate its solution. A diagonal curve rises through (negative 5, 1) through (6, 6). A diagonal curve declines through (negative 6, 5) through (7, negative 6) on the x y coordinate plane. A. B. C. D.

Answers

The approximate solution to the given system of equations, considering the graph, is given as follows:

D. [tex]\left(-\frac{13}{4}, \frac{5}{2}\right)[/tex].

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

On a graph, the solution of a system of equations is given by the intersection between the curves. In this graph, the intersection of the two curves happen close to x = -3.25, y = 2.5, hence the solution is approximated by:

D. [tex]\left(-\frac{13}{4}, \frac{5}{2}\right)[/tex]

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Answer:

d

Step-by-step explanation:

Can someone help.


Triangle not drawn to scale
Given: m = 53°, a = 18, and c = 14. Find me to the
nearest whole number.

Answers

Answer:

m∠C = 38°  (nearest whole number).

Step-by-step explanation:

To find the missing angle, use the Sine Rule.

Sine Rule (for angles)

[tex]\sf \dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}[/tex]

where:

A, B and C are the anglesa, b and c are the sides opposite the angles

Given:

A = 53°a = 18c = 14

To find m∠C, substitute the given values into the formula and solve for C:

[tex]\implies \sf \dfrac{\sin 53^{\circ}}{18}=\dfrac{\sin C}{14}[/tex]

[tex]\implies \sf \sin C= \dfrac{14 \sin 53^{\circ}}{18}[/tex]

[tex]\implies \sf C= \sin^{-1} \left( \dfrac{14 \sin 53^{\circ}}{18}\right)[/tex]

[tex]\implies \sf C= 38.40096301...^{\circ}[/tex]

Therefore, m∠C = 38°  (nearest whole number).

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Complete the ratio table to convert the units of time from hours to weeks or weeks to hours.

Answers

Here is the completed table:

Hours       Weeks

168              1

1008             6

840               5

How to complete the table?

The mathematical operation that would be used to determine the missing values are division and multiplication. In order to convert hours to weeks, divide by 168 hours. To convert weeks to hours, multiply by 168.

1008 hours to weeks = 1008 / 168 = 6 weeks

5 weeks to hours = 5 x 168 = 840 hours

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is the number there three? if you answer to me i will give you twenty Points.

Answers

Answer:

2

Step-by-step explanation:

3 x 2 = 6

1 x 2 = 2

hope it helps

sorry if I'm wrong

Which phrases describe the graph of f(x) = |x| ? Check all that apply

Answers

The phrases which describe the graph are;

The domain of the graph is the set of all real numbers.The range of the graph is the set of all real numbers greater or equal to zero.The graph in the task content is increasing over the interval (0, ∞).The graph in the task content is decreasing over the interval (-∞, 0).

What is the graph of the absolute function?

The absolute function in the task conten is;

f(x) = |x|, Hence, the domain and range of the graph are as described above.

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Please help for 50 points with solution

Answers

Answer:

(d)  60°

Step-by-step explanation:

Theorems

Interior angles of a triangle sum to 180°Angles on a straight line sum to 180°

Therefore, the exterior angle of a triangle is equal to the sum of the two non-adjacent interior angles of the triangle.

⇒ (a + 20) + (a + 10) = (a + 90)

⇒ a + 20 + a + 10 = a + 90

⇒ 2a + 30 = a + 90

⇒ 2a + 30 - a = a + 90 - a

⇒ a + 30 = 90

⇒ a + 30 - 30 = 90 - 30

⇒ a = 60

Answer:

a = 60

Step-by-step explanation:

→ Find the sum of all the angles

2a + 30 + 90 - a = 180

→ Collect the a terms

a + 120 = 180

→ Find a

a = 60

the sum of seven odd consecutive is 217. Find the middle number

Answers

Answer:

x + x+1 + x+2 + x+3 + x+4 + x+5 + x+6 =217

7x+21=217

7x=196

x=28

Middle Number will be:

x+3

28+3

=31

Therefore, the middle number is 31.

Step-by-step explanation:

Answer:

31

Step-by-step explanation:

Let's put this into equation form.

n + (n + 1) + (n+2) + (n+3) + (n+4) + (n + 5) + (n+6) = 217

Each number is increasingly getting farther away from n (the first number) by 1.

If we simplify, by adding all of the numbers and the n's. We get:

7n + 21 = 217


Let's subtract 21 from both sides to start the process of isolating x.

7n = 196

Now we can divide both sides by 7, to isolate x.

n = 28.

That looks like the answer, but it is not. Remember n is the first number, we want the middle, which out of 7 is the 4th number.

The 4th number is equal to (n+3) or (28 + 3)

The 4th number is 31.

Let's check if this is correct.

28 + 29 + 30 + 31 + 32 + 33 + 34 = 217.

The problem is complete.

A standard six-sided die is rolled $6$ times. You are told that among the rolls, there was one $1,$ two $2$'s, and three $3$'s. How many possible sequences of rolls could there have been

Answers

The possible sequences of rolls could there have been Sequence = 120

Given

6 rolls of a die;

Required

Determine the possible sequence of rolls

From the question, we understand that there were three possible outcomes when the die was rolled;

The outcomes are either of the following faces: 1, 2 and 3

Total Number of rolls = 6

Possible number of outcomes = 3

The possible sequence of rolls is then calculated by dividing the factorial of the above parameters as follows;

Sequence = \frac{6!}{3!}

Sequence = \frac{6 * 5 * 4* 3!}{3!}

Sequence = 6 * 5 * 4

Sequence = 120

Hence, there are 120 possible sequence.

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A frog with bionic legs leaps from a stump with an initial velocity of 64 ft/sec. It
is determined that the height of the frog as a function of time can by modeled
by h (t) = -16t² +64t + 3. How many seconds will it take for the frog to
land on the ground?

Answers

Considering the given quadratic function, it is found that it will take 4.05 seconds for the frog to land on the ground.

What is a quadratic function?

A quadratic function is given according to the following rule:

[tex]y = ax^2 + bx + c[/tex]

The solutions are:

[tex]x_1 = \frac{-b + \sqrt{\Delta}}{2a}[/tex][tex]x_2 = \frac{-b - \sqrt{\Delta}}{2a}[/tex]

In which:

[tex]\Delta = b^2 - 4ac[/tex]

The height after t seconds is given by:

h(t) = -16t² + 64t + 3.

it hits the ground when h(t) = 0, hence:

-16t² + 64t + 3 = 0

16t² - 64t - 3 = 0.

The coefficients are a = 16, b = -64, c = -3, hence:

[tex]\Delta = (-64)^2 - 4(16)(-3) = 4288[/tex][tex]t_1 = \frac{64 + \sqrt{4288}}{32} = 4.05[/tex][tex]t_2 = \frac{64 - \sqrt{4288}}{32} = -0.05[/tex]

Time has to be positive, hence the frog lands on the ground after 4.05 seconds.

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Which equation is equivalent to log3 (x+5) = 2 ?

Answers

Answer:

the anwer is x= -3

Step-by-step explanation:

(3+5)=2

Other Questions
3 hipotesis sobre la desaparicin de worson personaje del cuento de bierce Farmers Jay, Peter and Sam own rectangular farms, as indicated in the figure. Jay owns 2 acres of land, Peter owns 4 acres and sam owns 6 acres. Find the areo of the comman pasture Honda recently hired twenty employees to work in various departments of the company. On the first day, all twenty had the same orientation and attended the same training and development sessions. They were most likely engaged in what form of training If you were ever to visit Washington, where would you go?(the reason why I'm asking is because I live in Washington and I have not seen most of it yet) The triangles are similar. If WZ = 15, ZY = 12, and XY = 11, find WV. Round to the nearest tenth. Antonio graphs these equations and finds that the lines intersect at a single point, (-5, 0.25). Equation A: 4y-3x=16Equation B: -x-8y=3which statement is true about the values of x=-5 and y=0.25? (LOOK AT IMAGE)A regular 8-sided polygon and a regular 10-sided polygon share a single side, as shown below. Calculate the size of the angle marked b. Give your answer in degrees (). An amoeba is a single-celled organism that feeds on algae, plant cells, and bacteria. When an amoeba feeds, it first makes contact with the food particle. Next, the amoeba starts to surround the particle. Once the particle is completely engulfed, it is surrounded by a layer of the amoeba's membrane, forming a vesicle. The pH in the vesicle is then lowered and the contents are degraded.What type of transport is involved in this process?A. passive transportB. diffusionC. exocytosisD. endocytosis Micaela has a bat that is 30 inches long. She wants to fit it in a cube shaped box that has sides that are 17 inches. Will the bat fit? Justify your answer As anton p. chekhovs writing matured, he focused less on __________ and more on __________. character . . . plot plot . . . character setting . . . diction diction . . . setting What role are you, as a Muslim, playing in the requirements of faith in the beloved Prophet? Write a paragraph in your own words.please answer i will mark brainiest and please try to answer excellent before tommorow Stress this on the first syllables. 1. Separate. 2. Intimate. 3. Duplicate. 4. Diffuse. 5. Exact. Read and match each sentence with the correct word or phrase to complete it. (8 points)1. La bruja usaba ________ en la torre.2. La princesa tena ________ y la cuidaba.3. La esposa del rey Eduardo era Catalina, ________ paciente.4. En su niez, Estela lea cuentos de ________ con su prncipe azul.a. una reinab. princesasc. un hadad. un huso Ten out of 50 participants scored between 65 and 75 on a test. What is the relative frequency of the class interval 65-75 Which pair of equations generates graphs with the same vertex? Can someone please help me Verbal4. Are one-to-one functions either always increasing oralways decreasing? Why or why not? In filmmaking, each unbroken sequence of recorded action, with the camera still rolling, is called a ________ Mary wants to fence in a rectangular run for her dogs. She has decided that the run will be 5 yards wide. A rectangle with a width of 5 yards and height of x. Which statement best describes the possible lengths of the run if she can use no more than 40 yards of fencing? at most 8 yards at most 15 yards more than 8 yards more than 15 yards Mark this and return If a corporation has S corporation status, it must pay income taxes at the corporate level. Group of answer choices True False