Mathematics College

Find the sum of 5 smallest consecutive whole numbers.

Answers

Answer 1

0+1+2+3+4= 10

that is the answer

Answer 2

Answer:

Step-by-step explanation:

Related Questions

Part A: The area of a square is (25x2 − 10x + 1) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (5 points) Part B: The area of a rectangle is (81x2 − 9y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)

Answers

Before getting started, let's look at notation. My guess is that by (25x2-10x+1) you mean "25 x squared plus 10x plus 1." Usually to show the exponent (x squared) we use the ^ symbol so that means for Part A you are being asked to factor 25x^2 -10x + 1. We can also use a program like equation editor (part of Word) so that the expressions look like they would if you wrote then by hand in your notebook. I will do PART A using "^" and PART B using an editor that will make the notation look as it does in your notebook so you see both ways.

PART A:
As the expression given is the area of a square (and in a square the sides are all of equal length) when we factor (write as a product) this expression we should get two identical factors. If you remember how to distribute twice (teachers usually use the term F.O.I.L.) this question is asking you to go backwards...the expression is what you get when you "FOIL" so what were the two terms before?

25x^2 --> What can you multiply to get 25x^2? Since the terms have to be identical that's 5x. That is (5x)(5x) gives 25x^2.

Next we look at the last term (1) and think what can you multiply by itself to get 1? That's 1 as (1)(1)=1.

This means that the expression 25x^2 -10x + 1 = (5x+1)(5x+1) = (5x+1)^2.
The side of the square is 5x+1

PART B:
Here you are asked to factor [tex]81 x^{2} -9 y^{2} [/tex]. You might notice that [tex]81 x^{2}[/tex] is a perfect square. [tex]81 x^{2} =(9x)(9x)[/tex]. Similarly, [tex]9 y^{2} =(3y)(3y)[/tex]. We are dealing with the difference (notice the subtraction sign between the terms) of squares.

How do we factor the difference of squares? It is: (square root of first term + square root of second term)(square root of first term - square term of second). In symbols it is: [tex] a^{2} - b^{2} =(a+b)(a-b)[/tex].

In our case, we get [tex]81 x^{2} -9 y^{2} =(9x+3y)(9x-3y)[/tex].

If you forget or don't see that it is the difference of squares you can still figure it out by reasoning it out. What two terms give you the first when multiplied and what two terms give you the second?

The transport layer handles the transmission error by requesting the damaged segments to be retransmitted. if the probability of a segment being damaged is p, what is the mean number of the transmissions required to send a segment? you can assume the acknowledgements are never lost for solving this question.

Answers

The geometric distribution applies to experiments employing Bernoulli trials (success or failure) to determine the number of trials to obtain the first success.
This distribution may be applied to the given situation, where the probability of success is p.
Let n=number of transmissions required (n ≥ 1)Then
P(n)=(1-p)^(n-1)*p (probability that n transmissions are required)
and the mean number of transmissions required
μ = 1/p

Final answer:

The mean number of transmissions required to send a segment successfully, given a damage probability of p, is calculated as 1/(1-p). This is derived from the geometrical distribution, representing the expected number of trials until the first success.

Explanation:

The question asks for the mean number of transmissions required to successfully send a segment given that the probability of a segment being damaged is p, and assuming acknowledgements are never lost. To solve this, we consider each transmission attempt as an independent trial with only two outcomes: success (with probability 1-p) or failure (with p). The problem thus resembles a geometrical distribution where the expected value (mean number of trials to get the first success) can be calculated as 1/(1-p). Therefore, if the probability of a segment being damaged is p, the mean number of transmissions required to send a segment successfully is 1/(1-p).

For example, if the probability of damage is 0.1 (p=0.1), then the mean number of transmissions would be 1/(1-0.1) = 1.1111, rounding up since you can't have a fraction of a transmission in reality.

The radioactive isotope radium has a half-life of 1,600 years. The mass of a 100-gram sample of radium will be______ grams after 200 years.

Answers

To solve this we are going to use the half life equation [tex]N(t)=N_{0} e^{( \frac{-0.693t}{t _{1/2} }) } [/tex]
Where:
[tex]N_{0} [/tex] is the initial sample
[tex]t[/tex] is the time in years
[tex]t_{1/2} [/tex] is the half life of the substance
[tex]N(t)[/tex] is the remainder quantity after [tex]t[/tex] years

From the problem we know that:
[tex]N_{0} =100[/tex]
[tex]t=200[/tex]
[tex]t_{1/2} =1600[/tex]

Lets replace those values in our equation to find [tex]N(t)[/tex]:
[tex]N(200) =100e^{( \frac{(-0.693)(200)}{1600}) } [/tex]
[tex]N(200)=100e^{( \frac{-138.6}{1600} )} [/tex]
[tex]N(200)=100e^{-0.086625} [/tex]
[tex]N(200)=91.7[/tex]

We can conclude that after 1600 years of radioactive decay, the mass of the 100-gram sample will be 91.7 grams.

An employee has an annual salary of $51,300. They receive $2,830 in health insurance and $4,600 in paid time off per year. They drive their personal vehicle for work which costs them $600 per month, but the company reimburses them $0.54 per mile for the total work miles driven. If the employee drives 36,000 miles for work for the year, what will be their total employment compensation?
a.
$70,740
b.
$70,970
c.
$77,570
d.
$78,170

Answers

The answer is B:$70,970

The total employment compensation of the employee is b. $70,970.

What are Arithmetic operations?

Arithmetic operations are the basic part of mathematics which combines the basic operations like addition, subtraction, multiplication and division.

Given that,

Annual salary of the employee = $51,300

Health insurance per year = $2,830

Paid time off per year = $4,600

Monthly expense for personal vehicle = $600

Yearly expense = 12 × $600 = $7200

Reimbursement for the vehicle = $0.54 per work mile

Reimbursement for vehicle for 36,000 miles for work for the year = $0.54 × 36,000 miles = $19,440

Total employment compensation = ($51,300 + $2,830 + $4,600 + $19,440) - $7200

= $70,970

Hence the employment compensation is $70,970.

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adding and subtracting fractions with unlike denominators

Answers

You must first find a common denominator.
Change the fractions to the common denominator.
Then you add or subtract the fractions.
Finally, you may need to reduce the fraction.

Example 1:

Add

1/5 + 1/3

The least common denominator is 15.

Both denominators must become 15.

1/5 + 1/3 = 3/3 * 1/5 + 5/5 * 1/3 = 3/15 + 5/15 = 8/15

Example 2:

Subtract
3/8 - 1/3

The least common denominator is 24.

3/3 * 3/8 - 8/8 * 1/3 = 9/24 - 8/24 = 1/24

Both in addition and subtraction, you only add or subtract the numerators. The denominator of the answer is the common denominator.

To add or subtract different fractions you need to make both fractions have an L.C.D = lowest common denominator. You can find the LCD by multiplying the denominators of the fractions together. Once you have the LCD you can multiply each fraction by a ratio of one (example = 3/3 ratio = 1 ) to make the denominators equivalent.

Example problem:
2/3 + 4/5 = ?
The L.C.D is equal to 15 (from multiplying the denominators 3 and 5 together).
Now you can make the first fraction (2/3) have a denominator of 15 by multiplying it by a ratio of 1 (5/5). For the second denominator (4/5) multiply it by a ratio of 1 as well (3/3). Now the fractions will be (2/3)(5/5) + (4/5)(3/3) = 10/15 + 12/15

Because the fractions have the same denominator now you can now add them together and then simplify the fraction to its simplest form.
10/15 + 12/15 = 22/15 (This fraction cannot be reduced further, it is the final answer)

Mr kenrick made three deposits to his account to his bank account in this order 460,185, and 240 show how to use a commutative property to find the sum of the deposits mentally

Answers

Commutative property: when you have to solve a sum, it does not matter the order in which you place your addends, since you will always get the same result.
We have then:
(460 + 185) + 240 = 240 + (460 + 185) = 885
Answer:
(460 + 185) + 240 = 240 + (460 + 185) = 885

(64+28+76)÷6 show how you can calculate the number of 3/4 cup servings

Answers

Add first then divide by 6 which gives you 28 then divide by .75 which is 3/4 and it is equal to 37.33

What angle does this piece of pie form?

Answers

check the picture below.

**Aleta deposited $450 into a savings account earning 3.75% simple interest. How much interest will she earn in 6 years? Explain.

Answers

$101.25;450(0.0375)6=1021.25 is the answer i hope this helps you

Aleta will have 561.23 at the end of the 6 years. You add 3.75% to the previous amount of money from last year for every year.

ie: 'ans' is the total of the previous equation.
450+3.75%
ans+3.75%
ans+3.75%
ans+3.75%
ans+3.75%
ans+3.75%
ans = 561.23.

(05.02)Find the measure of angle x in the figure below:

Two triangles are shown such that one triangle is inverted and they share a common vertex. The lower triangle has two angles at the base. The lower left angle is marked as 55 degrees. The lower right angle is marked as 30 degrees. The angle at the vertex of the inverted triangle at the top is marked as x degrees.

Answers

Answer:

x=95°

Step-by-step explanation:

We are given that: Two triangles are such that one triangle is inverted and they share a common vertex. The lower triangle has two angles at the base. The lower left angle is marked as 55 degrees. The lower right angle is marked as 30 degrees. The angle at the vertex of the inverted triangle at the top is marked as x degrees.

The figure of such a triangle is attached to the answer.

As we know that sum of all the angles of a triangle is equal to 180°.

⇒ 55°+30°+x=180°

⇒ 85°+x=180°

⇒ x=180°-85°

⇒ x=95°

Hence, the angle at the vertex is 95°.

The measure of angle x in the inverted triangle formed by two triangles sharing a common vertex is 95 degrees .

Two triangles sharing a common vertex. The angles given are as follows:

Measure of the lower left angle of the lower triangle = 55 degrees.

Measure of the lower right angle of the lower triangle = 30 degrees.

The angle at the vertex of the inverted triangle (at the top) can be found by subtracting the sum of the angles in the lower triangle from 180 degrees .

Since the sum of angles in a triangle is always 180 degrees.

Sum of angles in the lower triangle

= 55 degrees + 30 degrees

= 85 degrees.

Now, subtract the sum of angles in the lower triangle from 180 degrees to find the angle at the vertex of the inverted triangle (x degrees):

x degrees = 180 degrees - 85 degrees

= 95 degrees.

Therefore, the measure of angle x is 95 degrees.

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Solve for Y
Y + 1.48 = 6.71

Answers

y+1.48=6.71
-1.48 -1.48
y=5.23

Y + 1.48 = 6.71

Isolate the Y by subtracting 1.48 to both sides

Y + 1.48 (-1.48) = 6.71 (-1.48)

Y = 6.71 - 1.48

Y = 5.23

5.23 is your answer

hope this helps

rhombus and a square have one and the same side of 6 cm. The area of the rhombus is 4/5 of the area of the square. Find the height of the rhombus.

Answers

Consider this option:
1. area_rombus=a*h, where a=6 - the length of the side, h - height.
h=area_rombus/a.
2. area_sq=a², where a=6 - the length of the square.
area_sq=36, area_rombus=4/5 *36=28.8.
3. according to the item 1 h=area_rombus/a=28.8/6=4.8.

answer: 4.8

Answer:

4.8 cm

Step-by-step explanation:

a company is shipping a motorcycle in a box with the dimensions of 4 2/3 feet by 3 3/4 feet by 8 ft the box also has packing material to help protect the motorcycle. what is the volume, in cubic feet, of the box?

Answers

To find the volume we multiply height, length and width. In this case we find
[tex]4 \frac{2}{3} \times 3 \frac{3}{4} \times 8 = 140[/tex]
Hence, the volume of the box is 140 cubic feet.

robert leaves his home to go to his office .he drives 6 km north and then 4km due east.approximatley what is the shortest distance from roberts home to his office,in kilometers

Answers

Visualize the distance traveled as the two side lengths of a right triangle, for this we can use the pythagorean theorem to solve for the hypotenuse (which is the shortest distance from his house to his office).

a²+b²=c²
6²+4²=c²
36+16=c²
52=c²
7.21=c

Answer=7.21km

A red balloon starts at 7.3 meters off the ground and rises at 2.6 meters per second. A blue balloon starts at 12.4 meters off the ground and rises at 1.5 meters per second. Write and solve an equation to determine when the balloons are at the same height.

Answers

This problem is an example of solving equations with variables on both sides. To solve, we must first set up an equation for both the red balloon and the blue balloon.

Since the red balloon rises at 2.6 meters per second, we can represent this part of the equation as 2.6s. The balloon is already 7.3 meters off of the ground, so we just add the 7.3 to the 2.6s:

2.6s + 7.3

Since the blue balloon rises at 1.5 meters per second, we can represent this part of the equation as 1.5s. The balloon is already 12.4 meters off of the ground, so we just add the 12.4 to the 1.5:

1.5s + 12.4

To determine when both balloons are at the same height, we set the two equations equal to each other:

2.6s + 7.3 = 1.5s + 12.4

Then, we solve for s. First, the variables must be on the same side of the equation. We can do this by subtracting 1.5s from both sides of the equation:

1.1s + 7.3 = 12.4

Next, we must get s by itself. We work towards this by subtracting 7.3 from both sides of the equation:

1.1s = 5.1

Last, we divide both sides by 1.1. So s = 4.63.

This means that it will take 4.63 seconds for both balloons to reach the same height. If we want to know what height that is, we simply plug the 4.63 back into each equation:

2.6s + 7.3
= 2.6 (4.63) + 7.3
= 19.33

1.5s + 12.4
= 1.5 (4.63) + 12.4
= 19.33

After 4.63 seconds, the balloons will have reached the same height: 19.33 meters.

Final answer:

To find when two balloons are at the same height, set up two equations equal to each other with the starting heights and rates of ascent, and solve for the time. The two balloons will be at the same height approximately 4.636 seconds after they start rising.

Explanation:

To determine when two balloons will be at the same height, we can set up an equation based on their starting heights and their rates of ascent. We have a red balloon that starts at 7.3 meters off the ground and rises at 2.6 meters per second, and a blue balloon that starts at 12.4 meters off the ground and rises at 1.5 meters per second.

Let's let t represent the time in seconds after the balloons begin to ascend. The height of the red balloon at any time t can be expressed as:

Height_red = 7.3 + 2.6t

Similarly, the height of the blue balloon at any time t is:

Height_blue = 12.4 + 1.5t

To find out when the balloons are at the same height, we set the two equations equal to each other:

7.3 + 2.6t = 12.4 + 1.5t

Now, we solve for t by subtracting 1.5t from both sides:

2.6t - 1.5t = 12.4 - 7.3

1.1t = 5.1

Next, we divide both sides by 1.1 to isolate t:

t = 5.1 / 1.1

t ≈ 4.636 seconds

Thus, the balloons will be at the same height approximately 4.636 seconds after they begin to ascend.

substitution method for 7x-2y=1 & x-2y=1

Answers

We want to use the Substitution method to solve
7x - 2y = 1 (1)
x - 2y = 1 (2)

From equation (1), obtain
2y = 7x - 1 (3)

Substitute (3) into (2).
x - (7x - 1) = 1
-6x + 1 = 1
-6x = 0
x = 0

From (3), obtain
2y = 7*0 - 1 = -1
y = -1/2

Answer: (0, -1/2) or x=0, y= -1/2.

The balcony of an apartment is 4 feet by 7 feet. On a scale drawing of the apartment, the balcony is 0.8 inch by 1.4 inches, and the kitchen is 2.4 inches by 2.8 inches. What are the actual dimensions of the kitchen? Enter your answers in the boxes. The actual dimensions of the kitchen are feet by feet.

Answers

4 / 0.8 = 5, 7 / 1.4 = 5. The ratio between actual dimension and the drawing is 5

Thus, 2.4 inches * 5 = 12 feet and 2.8 inches * 5 = 14 feet
12 feet x 14 feet

Answer:

12 by 14

Step-by-step explanation:

took quiz

The coordinates of the vertices of parallelogram ABCD are A(-3,2) , B (-2,-1) , C ( 4,1) and D ( 3,4). The slopes of which line segments could be calculated to show that ABCD is a rectangle?
1) AB and DC
2) Ab and BC
3) AD and BC
4) AC and BD
When you say what answer you chose can you explain why that’s the answer please in depth?

Answers

The answer is Ab and BC, option 2
I cannot draw the rectangle here. When you draw the line of x and y axis, plot the numbers, when you connect the dot, you will see the rectangle.I don't know how to draw it here, but that is the answer.

NOTE:
To show that a parallelogram is a rectangle, we need to show that ONE of the interior angles is a right angle.
Therefore we need to find the angle between two adjacent sides.

To find two adjacent sides in a parallelogram with vertices in counter-clockwise, we need two sides with a common vertex, for example,
AB+BC, or BC+CD, or CD+DA, or DA+AB.

Any two sides without a common vertex are opposite sides.

Sam has bought a camera for $200 when it was on 20% off sale. What was the original price of the camera

Answers

Original price = x
x - .2x = 200 ← original price - discount amount = sale price
.8x = 200 ← 1x - 0.2x = .8x
x = 250 ← divided both sides by .8

The original price was $250

Answer250

Step-by-step explanation:

which set of three numbers could be the side lengths of a triangle A.5,5,14 B.3,3,2 C.3,3,8 D. 5,5,10

Answers

Answer:

B. 3, 3, 2

Step-by-step explanation:

The triangle inequality requires the sum of the lengths of the two shortest sides exceed the length of the longest side. That is the case only for the lengths of selection B:

2 + 3 > 3

A cylindrical tank has a height of 12 feet and a diameter of 16 feet. Jane fills the tank with water at a rate of 6 cubic feet per minute. Calculate how long it would take Jane to fill the tank without overflowing it. Explain your reasoning. Round as needed.

Answers

if the diameter is 16 feet, then the radius for the tank will have to be half that,

[tex]\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h\quad \begin{cases} r=radius\\ h=height\\ -----\\ r=8\\ h=12 \end{cases}\implies V=\pi \cdot 8^2\cdot 12\implies V=\stackrel{ft^3}{768\pi} [/tex]

now, that's how many ft³ of water the tank can hold, since she is filling it up at a rate of 6 ft³ per minute, namely in 1 minute 6 ft³ have gone in, then it'll be

768π/6 how many minutes it'll take.

namely, how many times does 6 go into 768π? well, 768π/6.

how do you solve x^2+4x-5=0

Answers

Try this option:
1. root1*root2=-5; root1+root2=-4.
2. root1=-5; root2=1.
answer:1;-5.

Actually the answer is (-1,5)

x^2 – 4x – 5 = 0

x^2 – 4x = 5

x^2 – 4x + 4 = 5 + 4

(x – 2)^2 = 9

x – 2 = ± 3

x = 2 + 3 and x = 2 – 3

x = 5 and x = –1

{–1, 5}

write a real world example that could be solved by using the inequality 4x+8≥32.then solve the inequality

Answers

Sally had 8 dollars right before she was paid for working 4 hours. Sally has at least 32 dollars now.
how much was she paid per hour?
[tex]4x + 8 \geqslant 32[/tex]
[tex]4x \geqslant 24[/tex]
[tex]x \geqslant 6[/tex]
Sally was paid at least 6 dollars /hour.

Final answer:

A real-world situation for the inequality 4x + 8 ≥ 32 could involve calculating the minimum hours required at a part-time job to earn $32. Subtracting 8 and dividing by 4, we find that at least 6 hours of work are needed.

Explanation:

A real-world example that could be solved by using the inequality 4x + 8 ≥ 32 might involve a situation where you need to determine how many hours you must work at a part-time job to earn at least a certain amount of money. Suppose you earn $4 per hour and you have already earned $8. You want to know the minimum number of hours you must work to have at least $32 in total.

To solve the inequality 4x + 8 ≥ 32, you would first subtract 8 from both sides, which gives you 4x ≥ 24. Then, you would divide both sides by 4 to find the number of hours (x) you need to work. Therefore, x ≥ 6. This means you must work at least 6 hours to earn $32 or more.

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which of the following is important in a 2 column proof?
A list of all theorems
Staircase LOgic
Order
Detailed explanations for each step

Answers

Answer:

Order.

Step-by-step explanation:

When we are proving a proposition, it's important to have order in our 2-column proof.

So, we must have a left colum for Statements and a right colum for Reasons, that's the order we need to have.

In the statements colum we write our deductions. In the reasons column, we write the justification or reason about our deduction.

Therefore, the right answer is the third choice: Order.

The floor plan of a home is dilated by a factor of 8 to create a new, larger floor plan. The area of the new floor plan is (8, 16, 32, 64, 256) times larger than the area of the original floor plan?

Answers

Let
x-----------> Initial length x of the floor plan
y-----------> Initial length y of the floor plan
A1-----------> initial area of the floor plan
1) A1= x*y

2) the floor plan of a home is dilated by a factor of 8
then
x2=8x
y2=8y

the new area A2=x2*y2
A2=(8x)*(8y)=64*x*y--------> 64*A1
A2=64*A1

the answer is
The area of the new floor plan is 64 times larger than the area of the original floor plan

Final answer:

The area of the larger square is 16 times larger than the area of the smaller square.

Explanation:

The area of the larger square is 16 times larger than the area of the smaller square.

To find the area of a square, you square the length of one side.

For example, if the smaller square has a side length of 4 inches, the area is 4 * 4 = 16 square inches. The larger square, with side length 8 inches, has an area of 8 * 8 = 64 square inches. Therefore, the area of the larger square is 64 / 16 = 4 times larger than the area of the smaller square.

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state whether the relationship between x and y in y=4x-5 is proportional or not

Answers

The answer is "No they are not proportional" since the line y = 4x-5 doesn't go through the origin. Put another way, the equation is not in the form y = k*x for some fixed value k.

Round 3,989.23655 to the nearest tenth

Answers

this would be 3990 if you require a whole number but for a decimal it would be 3989.24

HELP!!! 100 POINTS+ BRAINLIEST for correct answer
Mary leaves her house to take a walk. The graph shows the distance, d, in feet from her house that Mary is at any given time, t, in minutes. How many minutes has Mary walked when she reaches the farthest point from her house?

Answers

i need the graphs so i can answer the question

Here's the picture of the graph that goes with this question.

Use the Law of Sines to find the missing angle of the triangle. Find m<b to the nearest tenth.
A) 110.0 degrees
B) 153.9 degrees
C) 26.1 degrees
D) 70.0 degrees

Answers

1. By the Law of Sines, you have:

SinA/a=SinB/b=SinC/c

2. You don't need the fraction SinC/c, so you can eliminate it. Then:

SinA/a=SinB/b

A=40°
a=19
B=m∠b
b=13

3. When you substitute this values into SinA/a=SinB/b, you obtain:

SinA/a=SinB/b
Sin(40°)/19=SinB/13
SinB=13xSin(40°)/19
m∠b=SinB^-1(13xSin(40°)/19)
m∠b=26.1°

Therefore, the answer is: 26.1 degrees.

Answer: D) 70.0

Step-by-step explanation: :)

7+11v=9v-9 how do you solve by steps

Answers

You're solving this equation for the variable 'v', so the main goal is to isolate it on one side of the equation.

7 + 11v = 9v - 9 Subtract 7 from both sides
7 - 7 + 11v = 9v - 9 - 7 Simplify
11v = 9v - 16 Subtract 9v from both sides
11v - 9v = 9v - 9v - 16 Simplify
2v = -16 Divide both sides by 2
[tex] \frac{2v}{2} [/tex] = -[tex] \frac{16}{2} [/tex] Simplify
v = -8

Check your answer by plugging the value (-8) into the original equation.

7 + 11(-8) = 9(-8) - 9 Simplify the mulitiplication steps
7 + (-88) = -72 - 9 Rewrite 7 + (-88) as 7 - 88
7 - 88 = -72 - 9 Simplify both sides
-81 = -81

The check worked out, so your answer is v = -8 .

Other Questions

the coarse adjustment knob may be used in focusing with all objective lenses? True or False How many amino acids would be made from the strand in question 2 In a windmill, electrical voltage is produced in the _____. rotor blades shaft generator wires to your house How did japanese society change during the isolation period? Manufacturing and trade activities occur mostly __________.A.near the Himalayas and in forestsB.along major rivers and deltasC.throughout grassy plainsD.in large cities Find the measure of the major arc if its central angle is 35 divide -2x^3-5x^2+4x+2 by x+2 Fresh water in frozen glaciers and ice caps makes up what percentage of the total amount of fresh water on Earth? exactly 33% between 3% and 97% more than 97% about 66% PLEASE PLEASE HELPWhich of the following factors interact to create currents that are less than 50 m deep?A. temperature, gravity, and the Coriolis effectB. wind, friction, and the Coriolis effectC. wind, temperature, and salinityD. density, temperature, and salinity what are the zeros of the function below?f(x) = x(x-1)(x+11)/(x+12)(x-13)a. 0,1, and -11b. 0, -1, and 11c. 13 and -12d. -13 and 12 High statement is true? Y=log10^x is not a logarithmic function because the base is greater than 0 Three girls collected geodes in the desert. Corinne collected 11 1/8 pounds, Ellen collected 4 5/8 pounds, and Leonda collected 3 3/4 pounds. How much did Corinne collected than the other two girls? Kaylie had $1250 in her saving account. She withdrew $82 each month in order to pay for a summer vacation. How much did Kaylie have in he account at the end of eight months? A lake near the Arctic Circle is covered by a 2-meter-thick sheet of ice during the cold winter months. When spring arrives, the warm air gradually melts the ice, causing its thickness to decrease at a constant rate. After 3 weeks, the sheet is only 1.25 meters thick. Let S(t) denote the ice sheet's thickness S (measured in meters) as a function of time t (measured in weeks). Write the function's formula. Which sentence most likely explains why the rock has large open pores At a convention of the national communication association, one session consists of three speakers who each deliver a relatively prepared presentation, much like a public speech. after the speeches are presented, the audience asks questions of the speakers. this convention session most clearly follows the format known as the Every realist knows that the democratic way of life is at this moment being directly assailed in every part of the world assailed either by arms, or by secret spreading of poisonous propaganda by those who seek to destroy unity and promote discord in nations that are still at peace. Franklin D. Roosevelt, "Four Freedoms Speech: Annual Message to Congress on the State of the Union," January 6, 1941 Which emotion is Roosevelt most likely trying to create in this passage from his Four Freedoms speech?A.Fear that the cost of the war may bankrupt America B.Anger that other nations don't care about democracy C.Fear that the enemy is trying to take away our freedom D.Anger that the enemy will use poison to attack us What do many of the works of German painter Lucas Cranach the Elder have in common with those of Dutch painter Hieronymus Bosch? A. They were often allegories based on religion and morality. B. They were noted for their clever miniatures. C. They were most often records of historical events. D. They were mainly focused on religious icons. Despite being of northern european birth josquin spent most of his career in Help help help plz give me the right answer