Answer:
Step-by-step explanation:
-1 1 3 5 7 9 11
That's the answer. If you need a method or a formula, that's a little harder.
L = a + (n - 1)*d
a = -1
L = 11
n = 7
or n is the hard part. If you have 5 means, then you have 6 spaces. So n must be 7 in all
11 = -1 + (7 - 1)*d add 1 to both sides. Combine the brackets
11+1 = -1+1+ 6*d
12 = 6d divide by 6
12/6 = d
2 = d
What this tells you is that each term has 2 added to it to get to the next one.
please help please thanks
Answer:
A
Step-by-step explanation:
Newton's third law states that for every force, there is an equal and opposite reaction. For example, if you collide two objects together, all of the forces in the system would cancel out because energy conserved with the opposite and equal reactions.
Between two examples (2 identical billiard balls and 2 different toy cars), the easiest way to demonstrate Newton's third law is using the 2 balls, since they are identical in shape and mass. When pushing the two balls in the exact same way with the SAME force, the net force of the equation is basically 0;
[tex]F_f = F_1 + F_2 = ma - ma = 0[/tex]
Therefore, A is correct.
If you pushed a toy car and a toy truck towards each other using the same force, the outcome would not be completely opposite since F = ma and masses are different. Instead, to have a completely opposite and equal reaction, the resulting direction and forces are different. The lighter car would accelerate more in the opposite direction to compensate for the lighter mass. Therefore, B is wrong because even though they are different sizes, newton's third law still happens in the resulting direction and forces, but are simply harder to explain due to so many differing factors.
C is wrong, because diameter of two objects has no correlation to the net force equations. Even if two objects have the same diameter, they could have different masses, shapes, elasticity, etc.
D is wrong, because it goes against Newton's 3rd law. Newton's 3rd law is a LAW. Meaning, it is ALWAYS true (unless in some distant future it's disproven). In any and every collision, energy is conserved in some way that net forces equal 0; either in friction, gravitational force, or resulting force, the net force is always 0.
The 12 students in the environmental Club represents 20% of the students in the 7th grade how many students are in the 7th grade
Answer:
2
Step-by-step explanation:
.2 of 12 is 2.4 and you can't have 2.4 of a person so it is 2.
A kitten weighs 4 pounds. What is the mass of the kitten in kilograms?
(Nearest thousandths)
Answer:
4 pounds = 1.814 kg
Step-by-step explanation:
Given that,
Weight of kitten = 4 pounds
We need to find the mass of the kitten in kg.
The relation between pounds and kg is given by :
1 kg = 2.204 pounds
⇒ 1 pound = (1/2.204) kg
⇒ 4 pounds = [tex]4\cdot\left(\dfrac{1}{2.204}\right)[/tex]
= 1.814 kg
Hence, 4 pounds is equal to 1.814 kg.
In a group of 20 students, 50% have blue eyes and 40% have brown eyes. How many students have brown eyes? *
Your answer
Answer: 8 students have brown eyes
Step-by-step explanation:
Unit rate: 5 % = 1 student.
5 x 10 = 50%. 10 students have blue eyes.
5 x 8 = 40%. 8 students have brown eyes.
In conclusion, 8 students have brown eyes.
Hope this helps!
Answer:
8
Step-by-step explanation:
50% of students have blue eyes, so that is 10
40% of students have brown eyes, so that is 8
the rest 10% is another color, which is 2
10+8+2=20
Which expression has a negative value? A) -1 x -2. B) -1 x 2 x -3 x 4 x -5. C) 1 x -2 x -3 x -4 x -5. D) 1 x -2 x 3 x -4 x 5
Answer:
B: -1 × 2 × -3 × 4 × -5
Step-by-step explanation:
-1 × 2 × -3 × 4 × -5
= -120
kevin guesses randomly on 10 true or false questions, what is the probability that he gets at least 6 correct?
Answer: 6/10
Step-by-step explanation:
Fill in the blank 2(x+7) = 2x + __
Answer:
14
Step-by-step explanation
What is the slope of the line?
Answer:
0
Step-by-step explanation:
Answer:
zero
Step-by-step explanation:
There are 6 statistics instructors in the mathematics department at a college. If your major requires you to take 2 statistics classes, how many different ways can you have 2 different instructors for those classes?
question 5 pleaseeee
Answer:
first
Step-by-step explanation:
f(n) =56 (0.5)^(n-1)
f(1) = 56 (0.5)^0= 56*1 = 56
f(2) =56 (0.5)^1 = 56* 0.5 = 28
f(3) = 56 (0.5)^2 = 14
f(4) = 56 (0.5)^3 = 7
find the slope of the line,
the line is:[ ? ]
A sample of bacteria is growing at an hourly rate of 14% according to the continuous exponential growth function. The sample began with 7 bacteria. How many bacteria will be in the sample after 22 hours?
Answer:
125.0272
Step-by-step explanation:
7 (1.14)^22
Each hour it grows 14%. This means after 1 hour, it has grown 7*1.14. After two hours 7*1.14 (1.14) or 7*(1.14)^2, etc so after 22 hours use equation above to solve.
After 22 hours the bacteria will be 125 bacterias.
The growth rate of bacteria is given an exponential growth rate of 14%. Initially, there are 7 bacteria after 22 hours what would be the numbers of bacteria to be determined.
The function which is in format f(x) = where, a is constant and x is variable, the domain of this exponential function lies (-∞, ∞).
Function for the growth rate of the bacteria is given by
= 7(1+14%)^x
= 7(1.14)^x
For 22 years,
= 7 (1.14)^22
= 125
Thus, After 22 hours the bacteria will be 125 bacterias.
learn more about exponential function here:
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#SPJ2
Solve for v.
-6v=-18
Simplify your answer as much as possible.
V =
X Х
Answer:
You need to divide 6 on both sides
Step-by-step explanation:
Answer:
V = 3
Step-by-step explanation:
Divide each side by -6 to get 3
what is the opposite of -137
Answer:
137
Step-by-step explanation:
Any opposite numbers are either positive or negative. In this case the number you asked is negative in which the answer is in a positive form which is 137.
Which quotient shows the decimal placed correctly?
OA) 1.66.4 = 2.5
O B) 1.8 0.3 –0.6
O 7.2+18 = 4
OD) 0.870.2 – 4.35
Answer:
The answer is C.
If you were to test a point that is on the line,
would that make the inequality true or not?
1. No, a point on the line is not a solution to the inequality.
2. Yes, a point on the line is a solution to the inequality.
,
Answer:
the answer depends on the inequality symbol; if the symbol is < or >, points on the line are not solutions
if the symbol is ≤ or ≥ then points which lie on the line are solutions
Step-by-step explanation:
Nicholas purchased a 24-ounce bottle of vegetable oil originally priced at $2.54. He had a store coupon for 15% off one item. How much did Nicholas pay for the bottle of vegetable oil with his coupon, rounded to the nearest cent?
Toby rode his bike 7 miles each day for
26 weeks. Wendy rode 200 miles each month for 6 months.
Who rode their bike farther? How much farther? Explain.
Answer:
Toby rode his bike further. He rode 74 miles further than Wendy.
Step-by-step explanation:
7 miles per day for 26 weeks is, 7 times 7 times 26, which is a total of 1274 miles. 200 miles each month for 6 months is 6 times 200, which equals 1,200 miles. Toby rode more miles.
PLEASE HELP ME 10 POINTS PLEASE HELP ME
The aquarium is draining a large fish tank. The pump they are using can drain 40 gallons per hour. After 2 hours,there are 95 gallons left in the tank. Let x represent the number of hours and y represent the water left in the aquarium.
Write the equation
[ Select ] y=40x-175 or y= 40+15 or y= -40+175 0r y= 175 + 40
How many gallons were originally in the tank?
[ Select ] -40, 95 or 175
How long does it take to drain the tank?
[ Select ] 2,5 or 4.375 or -4.375
How many gallons of water are in the tank after it drained for 4 hours?
[ Select ] -15 or 15 or the tank is empty
I NEED 4 ANSWERS
Answer:
Gallons originally in tank:175
How long to drain te tank:4.375
How many gallons of water in tank after drained for 4 hours:15
Please help and tell me which answer on the bottom is correct. I don't know how to do math..
Answer:
875
Step-by-step explanation:
30*15=450
30*10=300
20*5=100
12.5+12.5=25
450+300+100+25=875
I worked from bottom to top
Answer:
875 ft²
Step-by-step explanation:
Let's split the figure along the two dotted lines. Then, we're left with two rectangles and a trapezoid at the top.
The area of a rectangle is A = lw, where l is the length and w is the width.
For the bottom rectangle, the length is 15 ft and the width is 30 ft. So:
A = lw = 15 * 30 = 450 ft²
For the middle rectangle, the length is 10 ft and the width is still 30 ft, so:
A = lw = 10 * 30 = 300 ft²
The area of a trapezoid is denoted by A = (b1 + b2) * h/2, where b1 and b2 are the two bases and h is the height.
Here, the bigger base, b2, is still 30 ft. The smaller base, however, is actually 30 - 5 - 5 = 20 ft. The height is 5 ft. So, plug these in:
A = (b1 + b2) * h/2
A = (20 + 30) * 5/2 = 50 * 5/2 = 250/2 = 125 ft²
Finally, add all these disparate areas together:
450 + 300 + 125 = 875 ft²
PLEASE HELP ME FAST
Determine the triangles can be proved congruent, , by SAS, ASA, AAS, SSS OR HL Write your answer on the line provided If not congruent write "not congruent"
The set of triangles given can be proven to be congruent or not as follows:
1. Congruent by the AAS Congruence Theorem
2. congruent by the SSS Congruence Theorem
3. Not congruent
4. Congruent by the HL Congruence Theorem
5. Congruent by the SAS Congruence Theorem
6. Congruent by the ASA Congruence Theorem
1. In the triangles in figure 1, a non-included side and two angles in one triangle are congruent to two angles and corresponding non-included side in the other triangle.
Therefore, they are congruent based on the AAS Congruence Theorem.2. In the triangles in figure 2, three sides in one triangle are congruent to three sides in the other triangle.
Therefore, both triangles in figure 2 are congruent by the SSS Congruence Theorem.3. In the triangles in figure 3, the two triangles do not contain enough information to prove they are congruent.
Therefore, the triangles are not congruent.4. In the two right triangles in figure 4, the hypotenuse and one leg, in one right triangle are congruent to the hypotenuse and one leg in the other right triangle.
Therefore, the triangles are congruent by the HL Congruence Theorem.5. In the triangles in figure 5, an included angle and two sides in one triangle are congruent to a corresponding included angle and two sides in the other.
Therefore, both triangles in figure 5 are congruent by the SAS Congruence Theorem.6. In the triangles in figure 6, an included side and two angles in one triangle are congruent to two angles and a corresponding included side in the other triangle.
Therefore, both triangles in figure 6 are congruent by the ASA Congruence Theorem.In summary, the set of triangles given can be proven to be congruent or not as follows:
1. Congruent by the AAS Congruence Theorem
2. congruent by the SSS Congruence Theorem
3. Not congruent
4. Congruent by the HL Congruence Theorem
5. Congruent by the SAS Congruence Theorem
6. Congruent by the ASA Congruence Theorem
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(3x+4)
-(x+2) Please help me!!!
Answer:
2x+2
Step-by-step explanation:
drop the ( ) and combine like terms
what is the answer to 8x + 8y + 12
Can you guys tell me this is very important
Answer:
2 weeks
Step-by-step explanation:
Lillianne made 6 out of every 10 baskets she attempted during basketball practice. If she attempted to make 25 baskets, how many did she make
Answer:
15.
Step-by-step explanation:
(6/ 10) * 25
= 0.6 * 25
= 15.
12=-4(-6x-3) solve for x
Which type of statistical graphic uses bars to describe the data?
Answer:
A histogram
Step-by-step explanation:
This type of graph is used with quantitative data. Ranges of values, called classes, are listed at the bottom, and the classes with greater frequencies have taller bars.
1. Name the formula for the Law of Sines? Can it be written any other way? What do the letters stand for? When you are solving triangles, what information would be required in order to use the Law of Sines?
2. Name the formula for the Law of Cosines? Can it be written any other way? What do the letters stand for? When solving triangles, what information would be required in order to use the Law of Cosines?
3. When you have a 90-degree angle in a triangle, what happens to the Law of Cosines? What formula does it "turn in to?"
Answer:
see explanation
Step-by-step explanation:
The formula for the Sine rule is
[tex]\frac{a}{sinA}[/tex] = [tex]\frac{b}{sinB}[/tex] = [tex]\frac{c}{sinC}[/tex]
Where a, b and c are the sides of a triangle and A, B , C are the angles opposite the corresponding sides, that is
A is opposite side a, B is opposite side b, C is opposite side c
The sine rule is usually applied using a pair of the ratios, where
2 sides and an angle are known to find an unknown angle.
1 side and 2 angles are known to find an unknown side.
----------------------------------------------------------------------------------
2
There are 2 forms of the Cosine rule
(a) a² = b² + c² - (2bc cosA ) ← to calculate an unknown side
(b) cosA = [tex]\frac{b^2+c^2-a^2}{2bc}[/tex] ← to calculate an unknown angle
(a) is used given 2 sides of a triangle b and c are known with A being the included angle ( the angle between the 2 sides )
(b) is used when the 3 sides a, b and c are known
----------------------------------------------------------------------------------
3
If the angle A = 90° then cos90° = 0 and formula (a) becomes
a² = b² + c² ← that is Pythagoras' identity
9514 1404 393
Explanation:
1. The Law of Sines says each side length is proportional to the sine of the opposite angle. As with any proportion, it can be written four ways. Corresponding parts can be numerators, denominators, or parts of the same ratio.
Where a, b, c are the side lengths, and A, B, C are the respective opposite angles, some of the formulations are ...
[tex]\dfrac{\sin(A)}{a}=\dfrac{\sin(B)}{b}=\dfrac{\sin(C)}{c}\\\\\dfrac{a}{\sin(A)}=\dfrac{b}{\sin(B)}=\dfrac{c}{\sin(C)}\\\\\dfrac{a}{b}=\dfrac{\sin(A)}{\sin(B)}\quad \dfrac{a}{c}=\dfrac{\sin(A)}{\sin(C)}[/tex]
When solving triangles, you need ...
at least one angle and its opposite side, andany other angle or side.__
2. The Law of Cosines is conventionally written as ...
[tex]c^2=a^2+b^2-2ab\cos(C)[/tex]
where c is the side opposite angle C, and a and b are the sides bounding angle C. Any of the side and angle designations can be interchanged, so, for example, it can also be written ...
[tex]a^2=b^2+c^2-2bc\cos(A)[/tex]
The equation can be solved for the angle, which gives ...
[tex]A=\arccos{\left(\dfrac{b^2+c^2-a^2}{2bc}\right)}[/tex]
When using this formula, you need ...
two sides and one angle, orthree sidesIf the two given sides do not bound the given angle, the Law of Sines may be easier to use. Using the Law of Cosines will result in a quadratic equation for the unknown side, whereas the Law of Sines will give a linear equation.
__
3. When the enclosed angle is a right angle, the Law of Cosines degenerates to a statement of the Pythagorean theorem. (The cosine term vanishes.)
Jamaar Tannock is thinking about buying his first car. He is looking at a car with an average retail value of $2,500. It has a radio that would add $100 to the price. It’s excessive mileage would deduct $300. What is the average retail price?
Answer:
$2,300 is the average retail price.
Step-by-step explanation:
$2500 is the initial price.
$100 is added to the price due to a radio.
$2500 + $100 = $2,600.
$300 is deducted due to mileage.
$2,600 - $300 = 2,300
A
3. A large aquarium holds 500 gallons of water in all About how many
liters of water are needed to fill 3 large aquariums? I gallon = 3.8
liters)
3,000 liters
6,000 liters
12,000 liters
24,000 liters
В.
C.
Answer:
the answer 6,000 liters srry if I'm wrong
