Fitness related to endurance and fitness related to skill are the two basic types of physical fitness. Running is most likely the simplest solo sport for fostering both physical and mental fitness.
what is physical fitness ?Jogging, riding, swimming, and brisk walking are among examples. Exercises that build muscle strength are known as resistance training. Using a resistance band and lifting weights are two examples. Walking on uneven ground can be made simpler with balance exercises, which can also assist prevent falls.
Fitness related to endurance and fitness related to skill are the two basic types of physical fitness. Running is most likely the simplest solo sport for fostering both physical and mental fitness.
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Draw the net diagram of the the 3-object below and determine the total surface area
Answer:
see below for the netarea: 168 cm²Step-by-step explanation:
You want the net and total surface area for the triangular prism shown.
NetThe net diagram is attached. It consists of three rectangles with triangles attached to the ends of the widest rectangle. Of course, these parts can be arranged in any order you find convenient, as long as the common edges match the original prism.
AreaThe net shows the area can be computed as the sum of a rectangle 9 cm high and 5+6+5 = 16 cm wide, together with two triangles of base 6 cm and height 4 cm.
A = (9 cm)(16 cm) +2(1/2)(6 cm)(4 cm)
= 144 cm² +24 cm²
= 168 cm²
The total surface area of the prism is 168 cm².
__
Additional comment
The formulas for the area of a rectangle and triangle are ...
A = LW . . . . . area of a rectangle of length L and width W
A = 1/2bh . . . . area of a triangle of base b and height h
does anyone know what
3m−7=5
is?
Answer: m=4
Step-by-step explanation:
3m−7=5
3m = 12
m= 4
Answer:
m = 4
Step-by-step explanation:
add 7 to both sides > 3m - 7 + 7 = 5 + 7simplify > 3m = 12divide coefficient > 3m / 3 = m & 12 / 3 = 4 m = 4The simple interest formula is I=Prt, where I is the interest, P is the principal, r is the interest rate, and t is the time.
What is the interest if the principal is $10,000, the interest rate is 2%, and the time is 8 years?
options:
$160
$200
$1600
$16,000
Answer:
1600$
Step-by-step explanation:
By using the SI formula,
[tex]SI={PXRXT}/{100} \\SI=10000X2X8/100\\SI = 1600$\\\\Hence, the interest is 1600$[/tex]$
Option C) 1600$ is correct
Mark me brainliest
A third friend offers you a flat $20 to watch his dog during the same time. Tell whether you would choose this job over either of the other two.
Group of answer choices
$10 plus $2 per day
$15 plus $1 per day
A flat $20
It depends on the length of their vacations.
The job paying a flat $20 should be chosen instead of the other two options for periods of at most 5 days.
How to choose the best job?The daily pay for each job is constant, hence they can be modeled by linear functions, in the slope-intercept format, as follows:
y = mx + b.
The coefficients of the linear functions are given as follows:
m is the slope, representing the daily pay rate.b is the intercept, representing the flat fee.Hence the functions for each option are given as follows:
$10 plus $2 per day: y1(x) = 10 + 2x.$15 plus $1 per day: y2(x) = 15 + x.A flat $20: y3(x) = 20.The third option is better when:
First: 20 >= 10 + 2x -> 2x <= 10 -> x <= 5.Second 20 >= 15 + x -> x <= 5.Which is why it should be chosen for periods of at most five days.
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45 POINTS ANSWER FOR BRAINLIST AND HEARTS
The graph of the linear function y = 36 - 4x that represents this function is given by the image shown at the end of the answer.
How to graph the linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which the parameters are listed as follows:
m is the slope, representing by how much y changes when x is increased by one.b is the intercept, representing the value of y when x = 0.Initially, he has 36 overdue activities, hence the intercept is of:
b = 36.
Each day, he can do 4 activities, hence the number of remaining activities decays by 4, and thus the slope is of:
m = -4.
Thus the function is given as follows:
y = -4x + 36.
The y-intercept is given by the following point:
(0, 36).
The x-intercept is given by the following point:
(9,0).
As:
-4x + 36 = 0
4x = 36
x = 9.
Then a line is traced connecting the intercepts.
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At the school carnival, Mike will play a game in which he will toss a penny, a nickel, and a dime at the same time. He will be awarded 3 points for each coin that lands with heads faceup. Let the random variable x represent the total number of points awarded on any toss of the coins. What is the expected value of x?
The expected value of x for the awarded 3 points for each coin that lands with heads faceup is 27/8.
How do you determine the likelihood of an event?Assume that there are a finite number of elementary events that are all equally likely to occur in the sample space of the experiment under consideration.Probability (E) = favourable outcome/ total outcomeIn this instance, we are informed that:
Three coins were tossed, and the result was three heads.X is the overall point total.X now has a total of 4 possible values: 0, 1, 2, and 3.The probability of each of them is calculated as:
Situation 1: No heads
That implies that all three coins must land on the tail.
Thus, there is only one method to accomplish this. While the whole range of potential outcomes is;
= 2x 2x 2
= 8
via the product rule (because each coin has two alternative outcomes).
The result is:
P(x =0) = 1/8
Situation 2: One head
Single head means three points, or X = three.
Total outcomes possible = 8,
Single head can occur in 3 different ways, as other two needs to be strictly tails.
Thus,
P(x = 3) = 2/8
Situation 3: Two heads
Two heads equals 3+3 = 6.
X = 6
8 outcomes are possible in total.
Single tail means two heads. Three separate scenarios can lead to a single tail.
Therefore,
P(x = 6) = 2/8
Situation 4: Three heads
Three heads signifies that X = 9 or 3+3+3 = 9 points.
8 outcomes are possible in total.
Three heads means there is only one way to do it and no tail.
Thus,
P(x = 9) = 1/8
As a result, the expectation of X is determined as follows:
E(x) = 0. 1/8 + 3. 2/8 + 6. 2/8 + 9. 1/8
E(x) = 27/8
Therefore, 27/8 is the expected value of X.
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How do I do this? , it’s making me confused
Answer:
you remember vertex: h,k in (x-h)²+k..
replace in that. In that graph vertex: (10, -20)
So in that Equation, a(x-10)²-20, a<0 since it is maximum graph.
I cannot find the full Equation but from what I can see you can find h,k and the fact that a<0
In addition to the 407 inch diagonal, the rectangle slab is 379 inches wide.
What is the length of the side of the slab in inches?
By using Pythagorean theorem ,148 is the length of the side of the slab in inches .
What is the Pythagorean theorem in plain English?
The Pythagorean Theorem states that the squares on the hypotenuse of a right triangle, which is the side that faces the right angle, are equal when added together.
This is written as a2 + b2 = c2 in the usual algebraic notation.
12 inches = 1 feet
feet measurment = 407/12 = 33.91 feet
In triangle ABC
Using PYTHAOREAN THEOREM
l² + b² = h²
l = √h² - b²
l = √407² - 379²
l = √165649 - 143641
l = √22008
l = 148.35
l ≈ 148
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Which of the following transformations is non-rigid? A.translationB.dilationC.reflectionD.rotation
From the question the transformations that non-rigid is dilation. The correct answer is B.
what is nonrigid transformation?Any transformation of a geometric object that alters the size but not the shape is referred to as a nonrigid transformation. Examples of non-rigid types of transformation include stretching and dilation. Any action taken on a shape is referred to as a metamorphosis.
Rigid transformation is When a figure undergoes a stiff transformation, its size and shape are left unaltered. Because the image is unchanged, stiff transformations include translations, rotations, and reflections.
As a result, a dilation is a non-rigid transformation because the size of the image is changing.
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Lawson planted a tree when it was 14 inches tall and it will grow 3 inches per year. Ezra planted a tree when it was 8 inches tall and it will grow 5 inches per year. Determine how many years it will take for the trees to be the same height. Thanks
PLEASE HELP MEE!!!! ASAP Im so confused on this problem! I'LL GIVE 50 POINTS!
The graph of the function over the interval -2 ≤ x ≤ 2 is given below:
What do you mean by step function?
A piecewise function is one that is broken up into smaller functions, each of which has its own equation. A very particular (and much simpler) type of piecewise function is called a step function (or staircase function), and it has parts that resemble steps or the stairs of a staircase.
The graph of the function over the interval -2 ≤ x ≤ 2 is given below:
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(Solving Equations Using Square and Cube Roots LC)
Solve y3 = −1.
y = −0.5
y = 0.5
y = −1
y = ±1
Answer:
Step-by-step explanation:
J Square Roots and Cube Roots To find the square root of a number, you want to find some number that when multiplied by itself gives you the original number. In other words, to find the square root of 25, you want to find the number that when multiplied by itself gives you 25. The square root of 25, then, is 5. The symbol for square root is equation.
if all sales are made on account, the only piece of information you would need to calculate the cash received from customers during the period is the net change in accounts receivable. State True or False your answer:
a. True
b. False
If all sales are made on account, the only piece of information you would need to calculate the cash received from customers during the period is the net change in accounts receivable.
It is False.
Information available from the question,
In the question:
If all sales are made on account, the only piece of information you would need to calculate the cash received from customers during the period is the net change in accounts receivable.
The answer in TRUE/FALSE
Now, According to the question:
Accounting for cash transactions:
Daily cash sheet: If cash transactions are a significant part of your business, you should also prepare a daily cash sheet to reconcile your cash received and paid out for the day. If you use a daily cash sheet, you can reconcile your cash receipts with your daily deposit into your bank account.
So, The given statement is False.
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Geometry-need help i dont get it
Answer:
z = 11
Step-by-step explanation:
To find the answer we need to set up an expression with the two values they gave us:
8z = z + 77
This works because side IJ is the same length as side JK. So, all we have to do is solve for z:
8z = z + 77
-z - z
7z = 77
/7 /7
z = 11
Rewrite the triple integral ? 0 to 1 ? 0 to x ? 0 to y f(x,y,z) dzdydx as ? b to a ? g1(z) to g2(z) ? h1(y,z) to h2 (y,z) f(x,y,z) dxdydz a = _______ b = _______ g1(z) = ______ g2(z) = ______ h1(y,z) = ______ h2(y,z) = _______
A new form of the triple integral [tex]\int\limits^1_0 \int\limits^x_0 \int\limits^y_0 f(x,y,z)dzdydx[/tex] as a = 0 b = 1 g2(z) = 1 h2(y,z) = 1.
In other words, we want the integration order to be totally reversed for
[tex]\int\limits^1_0\int\limits^x_0 \int\limits^y_0 f (x,y,z) dz dy dx[/tex]
Keep in mind that this area is quite simple to define. The planes z = y and y = x, as well as the coordinate planes [tex]x=y=z=0[/tex], define our boundaries. We essentially have upper bounds z = y = x = 1 because x ∈[ 0, 1 ]. Therefore, we can alternatively express the region as:-
[tex]0\leq x\leq y\\0\leq y\leq z\\[/tex]
z∈ I0,1I. So
[tex]\int\limits^1_0 \int\limits^x_0 \int\limits^y_0 f(x,y,z)dzdydx = \int\limits^1_0 \int\limits^z_0 \int\limits^y_0 f(x,y,z)dxdydz[/tex]
Remember that a double integral could be set up in two different ways. Our number of alternative orders of integration increases from two to six when we include that third integral. We will rewrite the supplied integral in one of the other five possible orders in this exercise.
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Which of the following is quadratic equations √ 3x² - 2x + 1/2 = 0?
The following equation √ 3x² - 2x + 1/2 = 0 is quadratic
What is quadratic?The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the general form ax^2 + bx + c = 0. where a, b, and c are numerical coefficients and x is an unknown variable.
Is a quadratic 2 or 4?Quadratic expressions are those involving powers of x up to the second power, not the fourth power, hence the prefix quad signifies "four" rather than "two."
As the expression √ 3x² - 2x + 1/2 = 0 has square root so it is a quadratic equation.
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the lifetime in months of a transistor in a certain application is random with probability density function
The chance density characteristic of lifetime in months of a transistor in a positive utility is:
[tex]f(x)=0.4cdot e^x > 0f(x)=0.4⋅e −0.4x ;x>0[/tex]
The chance density characteristic shows that the random variable X follows a exponential characteristic with parameter λ = 0.4.
Compute the suggest lifetime as follows:
[tex]mu=frac=2.5μ= λ1 = 0.401 =2.5[/tex]
Thus, the suggest lifetime is months.
Compute the usual deviation of the lifetimes as follows:
[tex]sigma=2.5σ= λ 2 1 = 0.40 2 1 =2.5.[/tex]
Thus, the usual deviation of the lifetimes is 2.5 months.
Compute the sixtieth percentile of the lifetime as follows:
Thus, the sixtieth percentile of the lifetime is 2.3 months.
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Some kids scored a 70% on a tesst and some scored a 90%. If the overall average was 76%, what percent of the kids scored a 90%?
The percent of the kids scored a 90% is 82%.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, some kids scored a 70% on a test and some scored a 90%.
Let x percent of the kids scored a 90%.
Now, x% of 76%=90%
0.01x×0.76=0.9
0.01x=0.9/0.76
0.01x=1.184
x=1.184/0.01
x=118%
So, 100-18=82%
Therefore, the percent of the kids scored a 90% is 82%.
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AD is the median of triangle ABC . E is the mid – point of AD. BE produced to meet AC at F. DG║BF Show that AC=3AF
From the various triangle proofs below, we have been able to show that; 3A F = AC
How to prove the median of a triangle?A median of a triangle is defined as a line segment from a vertex of the triangle to the midpoint of the side opposite that vertex.
We are given that;
AD is the median of ΔABC.
E is the midpoint of AD
Through D, we draw DG parallel to BF
In ΔADG, E is the midpoint of AD and EF is parallel to DG
By using the converse of midpoint theorem, we have;
F is midpoint of AG and A F = FG ------(eq 1)
Likewise, In ΔBCF ;
D is the midpoint of BC and DG is parallel to BF
G is midpoint of CF and FG is congruent to GC (FG ≅ GC) .........(eq 2)
From equations 1 and 2, we will get;
A F = FG = GC -------(3)
Thus;
A F + FG + GC = AC
A F + A F + A F = AC (from eq 3)
3A F = AC
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An investor invested a total of $2,300 in two mutual funds. One fund earned a 6% profit while the other eamed a 4% profit. If the investor's total profit was $102, how much was invested in each mutual fund?
The amounts in each mutual fund are $500 and $1800. By using a system of equations, the required values are evaluated.
What is a system of equations?The system of equations is a set of one or more equations that intersects at locations called solutions of the system.
The system of equations is solved for solutions in three different methods. They are the Elimination method, Substitution method, and Graphing method.
Calculation:It is given that, an investor invested $2300 in two mutual funds.
Consider the amount invested in two mutual funds as fund1 = x and fund2 = y.
So, we can write the equation for the total investment is
x + y = 2300 ...(1)
The percentage of profit earned from the fund1 = 6% = 0.06
The percentage of profit earned from the fund2 = 4% = 0.04
The total profit for the investor = $102
Then, the equation from this statement is
0.06x + 0.04y = 102 ...(2)
Then the system of equations is
x + y = 2300 ...(1)
0.06x + 0.04y = 102 ...(2)
Applying the substitution method to solve the obtained system of equations.
So, from (1), we can write x = 2300 - y
Then, equation (2) becomes
0.06(2300 - y) + 0.04y = 102
⇒ 6(2300 - y) + 4y = 10200
⇒ 13800 - 6y + 4y = 10200
⇒ 13800 - 2y = 10200
⇒ 2y = 13800 - 10200 = 3600
∴ y = 3600/2 = $1800
So, the value of x is x = 2300 - 1800 = $500
Thus, the amount of investment in two mutual funds is $500 and $1800.
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Find the difference of 10x2y and 2x2y
Answer: 8x
Step-by-step explanation: We will start by writing out our equation which is 10x2y-2x2y. Next we will subtract using only like terms
10x - 2x = 8x
2y-2y=0
8x plus 0 = 8x.
which expression shows a way to factor 16 + 72
The expression that shows a way to factor 16 + 72 is 8(2 + 9)
How to determine the way to factor the expression?From the question, we have the following parameters that can be used in our computation:
16 + 72
Express the terms of the expression as products
So, we have the following representation
16 + 72 = 8 * 2 + 8 * 9
Factor out 8 from the expression
This gives
16 + 72 = 8 * (2 + 9)
Hence, the factored expression of 16 + 72 is 8 * (2 + 9)
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the time to fly between new york city and chicago is uniformly distributed with a minimum of 66 minutes and a maximum of 100 minutes. what is the probability that a flight is less than 71 minutes? a) 1.00 b) 0.15 c) 0.07 d) 0.00
The probability that the flight is less than 71 minutes is 0.1471
Let the distribution of the time to fly between New York City and Chicago be X
X~U(66,100)
where,
66 = minimum
100 = maximum
We need to find P(X<71)
We know that in the case of uniform distribution,
P(X<x) = (x - a) / b -a
where,
a = min value
b = max value.
Hence P(X<71)
= (71 - 66) / (100 - 66)
= 5/34
= 0.1471
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find the probability of getting 5 face cards (king, queen, or jack) when 5 cards are drawn from a deck without replacement.
The probability of getting 5 face cards when taken without replacement is 0.00030473728.
There are 12 face cards in the deck overall.
When six cards are dealt, 12C5 equals 792.
without a replacement
P (5 face cards) = 12/5
P(5)=792 / 2598960 for five face cards.
P(5)=0.00030473728 for five face cards.
When 6 cards are picked from a deck without replacement, the likelihood of getting 6 face cards (a king, queen, or jack) is therefore 0.00030473728.
Probability is a branch of mathematics that deals with numerical descriptions of the likelihood that an event will occur or that a claim is true. The probability of an event is a number between 0 and 1, where, broadly speaking, 0 indicates the event's impossibility and 1 indicates its certainty.
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Which of the following equations has 2 as a root? (a) `x^(2)-4x+5=0`, (b) `x^(2)+3x-12=0`
(c) `2x^(2)-7x+6=0`, (d) `3x^(2)-6x-2=0`
The given equation (C) 2x² - 7x + 6 = 0 has 2 roots in it.
What are equations?A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions.
Ax+By=C is the usual form for two-variable linear equations.
A standard form linear equation is, for instance, 2x+3y=5.
(A) x² - 4x + 5 = 0
LHS: x² - 4x + 5
= (2)² - 4(2) + 5
= 4 - 8 + 5
= -4 + 5
= 1
RHS = 0
LHS ≠ RHS
Has no root that is 2 in it.
(B) x² + 3x - 12 = 0
LHS: x² + 3x - 12
= (2)² + 3(2) - 12
= 4 + 6 - 12
= 10 - 12
= -2
RHS = 0
LHS ≠ RHS
Has no root that is 2 in it.
(C) 2x² - 7x + 6 = 0
Put x = 2
= 2(2)² - 7(2) + 6
= 8 - 14 + 6
= 14 - 14
= 0
RHS = 0
LHS = RHS
It has 2 roots.
(D) 3x² - 6x - 2 = 0
LHS: 3x² - 6x - 2
= 3(2)² - 6(2) - 2
= 12 - 12 - 2
= -2
RHS = 0
LHS ≠ RHS
Has no root that is 2 in it.
Therefore, the given equation (C) 2x² - 7x + 6 = 0 has 2 roots in it.
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Why is the hypotenuse always longer than the legs?
Answer:
its about the degrees.
Step-by-step explanation:
In a right triangle, the sum of the interior angles will always be 180°. Since a right angle is half that (90°), it has to be the biggest angle in the triangle and the side across from it will always be the longest.
n a survey of 3102 adults, 1443 say they have started paying bills online in the last year. Construct a 99% confidence interval for the population proportion. Interpret the results.
A 99% confidence interval for the population proportion is ( ),( ).
(Round to three decimal places as needed.)
Interpret your results. Choose the correct answer below.
A. With 99% confidence, it can be said that the population proportion of adults who say they have started paying bills online in the last year is between the endpoints of the given confidence interval.
B. The endpoints of the given confidence interval show that adults pay bills online 99% of the time.
C. With 99% confidence, it can be said that the sample proportion of adults who say they have started paying bills online in the last year is between the endpoints of the given confidence interval.
With 99% certainty, the population proportion of adults who say they have started paying bills online in the last year is between the given confidence interval's endpoints.
What is confidence interval?We have the following confidence interval of proportions in a sample of n people surveyed with a success probability of π and a confidence level of 1 - α.
Confidence interval = [tex]\pi[/tex] ± z [tex]\sqrt{\(\pi (1 - \pi ))/n}[/tex]
z = 1 - α/2
Here given, According to a survey of 3102adults, 1443 have begun paying bills online in the last year.
That is, n = 3102 and x = 1443
p = x / n
= 1443 / 3102
= 0.465
significance level = α
= 1 - confidence
= 1 - 0.99
= 0.01
zα/2 = z0.01 / 2 = 2.58
By substituting in confidence interval formula,
The lower limit is :
0.465 - 2.58[tex]\sqrt{(0.465 * 0.535) / 3102}[/tex]
= -0.01894056008
The upper limit is:
0.465 + 2.58[tex]\sqrt{(0.465 * 0.535) / 3102}[/tex]
= 0.02722425658
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The lower limit is 0.456 and upper limit is 0.474
What is confidence interval?
In statistics, a confidence interval describes the likelihood that a population parameter would fall between a set of values for a given percentage of the time. Confidence ranges that include 95% or 99% of anticipated observations are frequently used by analysts.
As confidence interval (C) = π ± z√[π(1-π)/n]
In the above expression, z = 1 - α/2, where α is the significance level.
Given in the question, n=3102 as the survey was conducted on 3102 adults. Also, x=1443, as 1443 people have started paying bills online in last year.
π = x/n
Substituting the values, we get,
π = 1443/3102
⇒ π = 0.465
Confidence level(α) = 1 - confidence
= 1 - 0.99
= 0.01
Since, z = 1 - α/2
⇒ z = 1 - 0.01/2
⇒ z = 1 - 0.005
⇒ z = 0.995
By substituting in confidence interval formula,
The lower limit is = 0.465 - 0.995√[(0.465*0.535)/3102]
= 0.456
The upper limit is = 0.465 + 0.995√[(0.465*0.535)/3102]
= 0.474
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Two similar triangles, ABC and A JKL, are shown.
B
3.5
5
A 2.5 C
What is the length of side JL?
?
I 15
10.5
Answer:
JL = 7.5
Step-by-step explanation:
since the triangles are similar then the ratios of corresponding sides are in proportion , that is
[tex]\frac{JL}{AC}[/tex] = [tex]\frac{JK}{AB}[/tex] ( substitute values )
[tex]\frac{JL}{2.5}[/tex] = [tex]\frac{10.5}{3.5}[/tex] ( cross- multiply )
3.5 × JL = 2.5 × 10.5 = 26.25 ( divide both sides by 3.5 )
JL = 7.5
the points (16, 12) and (12, 9) fall on a particular line. what is its equation in slope-intercept form?
Answer: y=3/4x
Step-by-step explanation:
1. Find slope using slope formula
2. Find b value by plugging a point to solve for b with
What if the elimination method results in 0=0?
Answer:
If the elimination produces the equation 0=0, then the two equations are for the same line.
Step-by-step explanation:
This means that there are an infinite number of solutions.
