Answer: 256b
Step-by-step explanation: So, first we need to find the square root of 16b.
That'd be 4b, because a square root is when a number can be divided by a number, such as 4 can go into 16 4 times, and like 5 can go into 25 5 times. So, we got 4b
So, 4 to the power of 4 (ignore the b right now) is the same as 4 x 4 x 4 x 4.
So simplified, that'd be 16 x 4 (64). So, 64 x 4 = 256.
So, I'd be 256b
11. - a? - 2bc - Icl
if a = -2, b = 3,
and c = -3
problem in the photo
algebra
Answer:
11
Step-by-step explanation:
remember that the absolute value function always gives a positive value, that is
| - a | = | a | = a
substitute the given values into the expression
- a² - 2bc - | c |
= - (- 2)² - 2(3)(- 3) - | - 3 |
= - (4) - 2(- 9) - | 3 |
= - 4 + 18 - 3
= 14 - 3
= 11
A small town surveyed 250 adults, 180 of whom were parents, about whether a park should be expanded. The results showed that 150 of the adults who were parents and 40 of the adults who err not parent’s thought the park should be expanded.
Answer: In this exercise we have to calculate the values of the people who voted to expand the parking lot, so we have to:
Yes: parents will be 150 and not parents 40
No; parents will be 40 and not parents 30
As it is about sets, we have to use the data that were:
total: 250 adults
180 of whom were parents a park should be expanded.
40 of the adults who were not parents thought the park should be expanded.
then calculate that:
Step-by-step explanation:
The surveyed parents favor park extension, and two way table is a way or representation of data. and The two-way table is completed as,
yes no
parents 150 | 30
|
not parents 40 | 30
The two-way table shown in the table is attached below.
What is two way table?
Two-way table is a way of representing of data to better understand it.
Given information-
The total number of adults took the survey is 250.
Total number of parents took the survey is 180.
150 of the adults with children and 40 of those without thought the park should be expanded.
Suppose the number of adults who are not the parents and took the survey is .
As the total number of adults took the survey is 250 in which the number of parents took the survey is 180. Thus the number of adults who are not the parents and took the survey is,
Suppose the parents who does not thing that the park should be expanded is .
There is total 180 parents. As 150 of the adults with children thought the park should be expanded. Thus, the parents who does not thing that the park should be expanded is,
Form the 70 adults who are not parents things that park should be expanded is 40, hence the adults who are not parents does not thing the park should be expanded is (70-40) which is 30.
Hence the two way table is completed as,
yes no
parents 150 | 30
|
not parents 40 | 30
the two way
YES NO
30
30
(parents 150
not parents_40
Jack invested some money in a bank at a fixed rate of interest compounded annually. The equation below shows the value of his investment after x years: f(x)
Equation = P(1+r)^x, where P is the initial amount invested, r is the fixed interest rate, and x is the number of years.
It is important to note that the equation provided is the formula for compound interest. P is the initial principal, r is the annual interest rate, and x is the number of years the money is invested. The equation gives the total amount of money in the account after x years.
It should be also noted that the interest rate is given as a decimal and not a percentage.
For example, if the interest rate is 5%, then r = 0.05.
In order to use this equation, the value of P, r and x should be known
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11 of 5011 of 50 Questions Question 11 Three classrooms are trying to raise $1,200.00 for charity. Mrs. LeBlanc's class has raised 50% of the total needed. Mr. Patel's class has raised $235.14. Ms. Warner's class has raised one-third as much as Mrs. LeBlanc's class. How much more money is needed to reach the goal of $1,200.00
$164.86 more is needed to reach the goal of $1,200.00.
First, we need to find out how much money Mrs LeBlanc's class has raised since they have raised 50% of the total needed. We can do this by multiplying the total needed by 50%:
$1,200.00 * 50% = $600.00
Next, we need to find out how much money Ms Warner's class has raised since they have raised one-third as much as Mrs LeBlanc's class. We can do this by multiplying the amount raised by Mrs LeBlanc's class by one-third:
$600.00 * 1/3 = $200.00
Now we can add up the amount raised by all three classes to see how much has been raised in total:
$600.00 (Mrs. LeBlanc's class) + $235.14 (Mr. Patel's class) + $200.00 (Ms. Warner's class) = $1035.14
Finally, we can subtract the total amount raised from the goal amount to find out how much more is needed:
$1,200.00 - $1,035.14 = $164.86
So $164.86 more is needed to reach the goal of $1,200.00.
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The lengths of two sides of a triangle are 33 units and 42 units. The third side also has an integral length. What is the least possible number of units in the perimeter of the triangle
The least possible unit of the perimeter of the triangle will be 85 units.
In order for the three sides of a triangle to fit together, any two sides' differences must be bigger than the length of the third side.
Draw some triangles on a piece of paper and try to accept that this is the case.
So, by properties of triangle = 42 - 33 = 9
The third side must be greater than 9 units.
Given that it is an integer, 10 must be the minimum possible value.
The perimeter is the sum of all sides.
So our least possible perimeter will be 42 + 33 + 10 = 85 units.
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How much more rain fell in June than in August? Simplify the answer.
June: 5.75
August: 2.1
What are the factors of x^3 Y^3?
The factors of (x^3 + y^3) are ( x + y )(x^2 - x . y + y^2).
In order to find the factors of (x^3 + y^3), you need to apply the sum of cubes formula:
(x^3 + y^3) = ( x + y )(x^2 - x . y + y^2)
(x^3 + y^3) = ( x + y )(x^2 - x y + y^2)
Therefore, in order to find the factor of the given expression, you just simply need to learn the sum of cubes formula.
Similarly, the difference of cubes formula is as follows:
(x^3 - y^3) = ( x - y )(x^2 + x y + y^2)
Which gives factors of (x^3 - y^3).
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The perimeter of a rectangle is 84 feet long. The
length is six more than two times its width. What are
the dimensions of the rectangle? (Hint: P = 2L + 2W)
Therefore , the solution of the given problem of perimeter comes out to be length = 16.8 and width = 50.4
Establish a perimeter.The perimeter, or total length, of a shape is referred to as its perimeter in geometry. A shape's perimeter is calculated by summing the lengths of all of its sides and edges. By adding together the lengths of all a shape's sides, one may determine its perimeter. The circumference of a field, for instance, will be 78 yards for a rectangle with dimensions of 24 yards long by 15 yards wide.
Here,
Given :
Perimeter of rectangle = 84 feet
Thus,
Length is 6 times more than its 2 time width
=> 6L = 2W
=> W = 3L
In the perimeter formula:
=> 3L + 2L =84
=> 5L = 84
=>L = 84/5
=>16.8
and
W = 3L
=> W = 3*16.8
=> W = 50.4
Therefore , the solution of the given problem of perimeter comes out to be length = 16.8 and width = 50.4
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Find the value of xx in the equation below.
11=
11=
\,\,x -6
x−6
The required value of x is 17 for the given equation 11 = x - 6.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
The equation is given in the question, as follows:
11 = x - 6
We can determine the value of x by adding 6 to both sides of the equation.
As per the question, we have
⇒ 11 = x - 6
⇒ 11 + 6 = x - 6 + 6
⇒ x = 11 + 6
Apply the addition operation, and we get
⇒ x = 17
Therefore, the required value of x is 17.
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How doe etimation help you place the decimal point in a product correctly?Explain
By counting the numbers of figures after the decimal points before you locate the product and shifting the decimal point from the rear to the front in the order you previously counted it after you find the product, an estimation can help you place the decimal point in a product correctly.
What is Estimation?A high number of a certain number is estimated to be the closest whole number or significant number.
When estimating, the use of decimal points aids in separating the fractional portion from the entire figure.
For instance, we have a total of three integers after the decimal point if we want to calculate the product of 4.23 and 2.1.
4.23
× 2.1
4 2 3
________
8 4 6
8 8 8 3
Therefore, we shall move the decimal point three places, working our way from the back to the front.
The result of 4.23 and 2.1 is 8.883 then.
We can therefore say that we completely understand how estimating helps you accurately set the decimal point in a product.
Therefore, by counting the numbers of figures after the decimal points before you locate the product and shifting the decimal point from the rear to the front in the order you previously counted it after you find the product, an estimation can help you place the decimal point in a product correctly.
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Correct question:
How does estimation help you place the decimal Point in a product correctly?
You decide you want to go snowboarding for the day and you have to figure out your budget. Tickets are $75.00 per day and there is a 5% convenience charge when you order your ticket. You also have to pay for a bus ticket that is $12 for the day. You mom gives you a 15% off coupon that applies to the lift ticket only (not the bus). What is the total cost for your fun day out? (round to the nearest hundredth)
The total cost for your fun day out is $23.82.
What is percentage?In mathematics →
a percentage is a number or ratio expressed as a fraction of 100.it is often denoted using the percent sign "%".Given is that you decided to go snowboarding for the day and you have to figure out your budget. Tickets are $75.00 per day and there is a 5% convenience charge when you order your ticket. You also have to pay for a bus ticket that is $12 for the day. You mom gives you a 15% off coupon that applies to the lift ticket only.
Assume that the total cost for your fun day out is ${x}. Then, we can write the equation as -
{x} = 15% of (75 + {5% of 75}) + 12
{x} = 15% of (75 + {5/100 x 75}) + 12
{x} = 15% of (75 + {1/20 x 75}) + 12
{x} = (15/100) x (75 + 75/20) + 12
{x} = (3/20 x 78.75) + 12
{x} = 11.82 + 12
{x} = 23.82
Therefore, the total cost for your fun day out is $23.82.
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How many ways are there to arrange $6$ beads of distinct colors in a $2 \times 3$ grid if reflections and rotations are considered the same
There are 90 ways to arrange 6 beads of distinct colors in a 2*3 grid if reflections and rotations are considered the same.
In order to reach this result, we may use Burnside's Lemma, which states that the average number of arrangements of a symmetric object's symmetric parts, is taken throughout the set of all possible symmetry operations of the object.
You may fix one element and position the rest around it because of the rotation. You now have a total of 90 configurations available.
Thus, If reflections and rotations are treated equally, there are 90 ways to arrange 6 beads of different colors on a 2*3 grid.
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the swim team trains 4 days every week. Mon, Tues, and Thurs, the swim tea spends 1/2h in the gym followed by 1 1/4 in the pool. On Saturday there is no gym work but double the swim team time. how many hours per week does the team train?
The number of hours that the team trains per week is 17 hours.
How to illustrate the fraction?A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.
Since the swim tea spends 1/2h in the gym followed by 1 1/4 in the pool. On Saturday there is no gym work but double the swim team time. The number of hours will be:
( 1 1/4 + 1/2 + 2 1/2) × 4
= 4.25 × 4
= 17 hours.
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What is the relationship between the line of reflection and the segments connecting the corresponding points?
The relationship between the line of reflection and the segments connecting the corresponding points is perpendicular bisector.
Here we have to find the relationship between the line of reflection and the segments connecting the corresponding points
In order to find the relationship we must know what is meant by line of reflection.
The term line of reflection is defined as a line that lies in a position between two identical mirror images so that any point on one image is the same distance from the line as the same point on the other flipped image.
As per the definition of the term we have identified that the relationship between these two element is perpendicular to the segment and bisects it. Because the line of reflection is the perpendicular bisector of the segment joining corresponding points of the preimage and image.
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What is the value of (-1-¹) ÷ (-4)?
A. -1/
T
B. -21
C.
D. 1/1/12
Answer:
D. 1 5/16
Step-by-step explanation:
mark brainliest
Please answer the 4th and 6th one
Answer:
5
Step-by-step explanation:
0-6x will be -6x if we divide that six then we will get -30/-6 since minus gets cancelled we will be left with 5
`y=7/(1,000)-(9x)/8` is this proportional or nonproportional
probability:
a) A family wants to have 4 children. Design and do a simulation to determine the probability that, if they do have 4 children, they will have two boys and two girls. (Hint: Use coins.)
b) A basketball player is shooting free throws blindfolded. He shoots in groups of 4 shots. Assume that it is equally likely that he will hit or miss a shot. Design and do a simulation to determine the probability that he will hit at least 75% of his shots within the groups. (Hint: Use coins.)
a) A simulation of the probability that a family with 4 children will have 2 boys and 2 girls can be done using coins. We can represent boys as heads (H) and girls as tails (T).
To simulate the birth of one child, we will flip a coin. If it comes up heads, it represents the birth of a boy, and if it comes up tails, it represents the birth of a girl. We will repeat this process four times to simulate the birth of four children.
We can use the simulation to estimate the probability of the family having 2 boys and 2 girls. We can do this by performing the simulation multiple times (e.g. 100, 1000 or more) and counting the number of times that the family has 2 boys and 2 girls.
The probability can be calculated by dividing the number of successful outcomes (2 boys and 2 girls) by the total number of simulations.
b) A simulation of the probability that a basketball player will hit at least 75% of his shots within the groups can be done using coins. We can represent hitting a shot as heads (H) and missing a shot as tails (T). To simulate one shot, we will flip a coin. If it comes up heads, it represents hitting the shot, and if it comes up tails, it represents missing the shot. We will repeat this process four times to simulate the shooting of four shots.
To determine the probability of hitting at least 75% of the shots, we will perform the simulation multiple times (e.g. 100, 1000 or more) and count the number of times that the player hits at least 3 out of 4 shots.
The probability can be calculated by dividing the number of successful outcomes (3 or 4 shots hit) by the total number of simulations
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The radius of a spherical balloon increases from 7 cm to 14 cm as air is being pumped into it. Find the ratio of surface areas of the balloon in the two cases. *
On solving the provided question, we can say that the spherical balloon's initial radius is 7 cm.; the final radius is 14 cm. ratio = (7/14) ^2 = 1:4
what is radius?The length of a circle or sphere, in more contemporary use, is the same as its radius in classical geometry, which is one of the line segments from its center to its circumference. The Latin word radius, which also refers to the spokes of a wagon wheel, gave rise to the term. The distance a circle's center is from any point on its perimeter is its radius. Usually, "R" or "r" is used to indicate it. A radius is a line segment that has one endpoint in the center and one on the circumference of a circle. Circular diameter equals radius The diameter of a circle is the segment that traverses its center and has ends that are on the circle.
The spherical balloon's initial radius is 7 cm.
The final radius is 14 cm.
ratio =
(7/14) ^2 = 1:4
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A bicycle wheel has a diameter of 559 mm and has 32 equally spaced spokes. What is the approximate arc length, rounded to the nearest hundredth, between each spoke? Use 3. 14 for π. Show your work
The approximate arc length rounded to the nearest hundredth, between each spoke is 54.9 mm.
Diameter = 559 mm, r = d/2 = 279.5 mm
Number of spokes = 32
π = 3.14
To solve this question, we have to use the formula of the length of an arc which is given as
L = θ/360 × 2πr
To calculate the angle between each spoke, let's divide 360 by 32
θ = 360/32
θ = 11.25°
Now we have the value of the angle, substitute it and solve for the length of the arc.
[tex]L_{arc}[/tex] = θ/360 × 2πr
= 11.25/360 × 2 × 3.14 × 279.5
= 54. 9 mm
Therefore the length of the arc is approximately 54.9 mm.
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5x - 7 = 5 - x
Using balancing method in algebra
Answer:
5x-7-5+X=5-x-5+X
or,6x-12=0
or,6x=12
or,X=12/6
:.X=2
Trey and three of his friends are ordering a pizza. They plan to split the cost, and the want to spend at most $3.50 per person. Write and solve an inequality to find the cost of the pizza they should order.
The inequality to find the cost of the pizza they should order is c ≤ 14. The cost is at most $14.
How to express the inequality?Inequalities are simply created through the connection of two expressions. In this case, it should be noted that the expressions in an inequality are not always equal. Inequalities implies that the expressions are not equal. Here, they are denoted by the symbols ≥ < > ≤.
Since Trey and three of his friends are ordering a pizza and they want to spend at most $3.50 per person. An inequality to find the cost of the pizza they can order is:
c ≤ (3.50 × 4)
c ≤ 14
The cost will be at most $14.
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I really also need help on this question lol
Answer:
13/15
For this question, you could type it into the calculator.
Hence, this question is too trivial, and your question might get deleted as a result. Since this is your first question, I will help you out but subsequently, do use a calculator to solve this kind of questions.
Step-by-step explanation:
4 1/3 can be converted to 13/3 as an improper fraction.
Next, evaluate 13/3 divided by 5
(13/3) / 5 = (13/3) x (1/5)
= 13/15
Answer:
Step-by-step explanation:
There are a number of ways to do this. I am going to take a little longer, but I am hoping that it will make sense to you.
4[tex]\frac{1}{3}[/tex] ÷ 5
Another name for 1 is [tex]\frac{3}{3}[/tex] I am going to rewrite 4[tex]\frac{1}{3}[/tex] knowing this.
[tex]\frac{3}{3}[/tex] + [tex]\frac{3}{3}[/tex] + [tex]\frac{3}{3}[/tex] + [tex]\frac{3}{3}[/tex] + [tex]\frac{1}{3}[/tex] = [tex]\frac{13}{3}[/tex]
Another way to write 5 is [tex]\frac{5}{1}[/tex].
I want both of my fraction to have the same denominator so I will multiple
[tex]\frac{5}{1}[/tex] x [tex]\frac{3}{3}[/tex] = [tex]\frac{15}{3}[/tex] I am now ready to divide by fractions
[tex]\frac{13}{3}[/tex] ÷ [tex]\frac{15}{3}[/tex] Divide across
[tex]\frac{\frac{13}{15} }{\frac{3}{3} }[/tex] = [tex]\frac{\frac{13}{15} }{1}[/tex] = [tex]\frac{13}{15}[/tex]
I need help pls answer ASAP
The value of x in the triangle WXY is 19 degrees
What is an equation?An equation shows how two or more numbers and variables are related to each other.
How to determine the value of xFrom the question, we have the following parameters that can be used in our computation:
The triangle XYZ and the line YZ such that lie YZ and XW are parallel lines
Using the above as a guide, we have the following:
∠ZYW = ∠XWY (alternate angles are equal)
∠XWY = 2x (Given)
So, we have
∠XWY + ∠XYW + ∠YXW = 180° (the sum of angles in a triangle)
Substitute the known values in the above equation, so, we have the following representation
2x + (3x - 5) + 90 = 180
Open the brackets and solve
5x - 5 = 90
Evaluate the like terms
5x = 95
Divide both sides by 5
x = 19°
Hence, the value of x is 19°
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the function f(x)=80(0.5)^ represents the distance after a pendulum begins swinging,where x is the number of swings
It looks like there may be a typo in the function you provided. It appears that you meant to write "f(x) = 80(0.5)^x", which would represent the distance after a pendulum begins swinging, where x is the number of swings.
This function indicates that the distance traveled by the pendulum decreases by half with each swing. For example, after the first swing, the distance traveled would be 80(0.5)^1 = 40 units. After the second swing, the distance traveled would be 80(0.5)^2 = 20 units. And so on.
The exponent x in the function represents the number of swings, so the distance traveled by the pendulum can be calculated by plugging in the desired value of x into the function. For example, to calculate the distance traveled after 10 swings, we can plug in x = 10:
f(10) = 80(0.5)^10 = 0.390625 units
This indicates that the pendulum has traveled a distance of approximately 0.39 units after 10 swings.
The diagram shows two proportional right triangles.
What is the perimeter of the larger triangle?
Answer:
48 units.
Step-by-step explanation:
Since the triangles are similar (proportional), their dimensions are increased at the same ratio at any point, which means their perimeter too. So the base of the larger triangle is twice as long as the base of the smaller triangle.
The perimeter of the smaller triangle is 10 + 6 + 8 = 24 units.
24 * 2 = 48. Because the ratio of increase is 2:1 from the bigger triangle to the smaller triangle.
Hope you could understand this,
Find output, g, when the input, r, is 4. g= 25-3r
when the input r, is 4, then the output g, is 13.
The function g = 25 - 3r gives the output g when the input r is given.
If we substitute r = 4 into the equation, we get:
g = 25 - 3×4
g = 25 - 12
g = 13
Therefore, when the input, r is 4, the output g, is 13.
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If this policyholder causes a huge, serious accident with both bodily injuries and property damage, what is the highest amount their liability coverage will provide?
A. ) $544. 58
B. ) $300,000
C. ) $400,000
D. ) Unlimited amounts, depending on the number of people injured
C). The highest amount their liability coverage will provide is $400,000
This is because most standard liability policies will provide up to $300,000 for bodily injury and $100,000 for property damage, but the policyholder may be able to purchase additional coverage for higher limits if they need it. The exact amount of coverage will depend on the policy the policyholder purchased.
Liability insurance is a component of the general insurance system of risk financing that protects the purchaser from the risks of liabilities imposed by lawsuits and similar claims, as well as the insured if the purchaser is sued for claims covered by the insurance policy.
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Write two equations that can be solved using the double 7+7
Answer:
Using doubles plus one fact the sum of 7 + 7 is equal to 15 it is done by simply adding 1 to the given number.
Given :
Expression - 7 + 7
Doubles plus one fact is used to add numbers that are next to each other. for example, if a number given is 8 + 8 we have to evaluate it by using doubles one fact so 8 + 8 = 8 + 8 + 1 = 17.
The sum of 7 + 7 can be determined by using doubles plus one fact as:
Simply add 1 in 7 + 7 to get the result required.
Therefore by using doubles plus one fact the sum of 7 + 7 is equal to 15.
Piper has a coin collection. She keeps 12 of the coins in her box, which is 2% of the collection. How many total coins are in her collection?
The total number of coins Piper has in her collection is 100 coins.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, Piper has a coin collection. She keeps 12 of the coins in her box, which is 2% of the collection.
Let, The total number f coins in the box be 'x'.
Therefore, 2% of 'x' is 12 which can be numerically expressed as,
(2/100)×x = 12.
0.02x = 12.
x = 2/0.02.
x = 100.
So, She has 100 coins in her box.
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