Answer: 5.4\(\sqrt{300}\) = -93.5307436087194= -93.53
Step-by-step explanation:
-5.4√300
Factor 300=\(10^{2}\)x3. Rewrite the square root of the product \(\sqrt{10^{2} x 3}\)
as the product of square roots \(\sqrt{10^{2} } \sqrt{3}\). Take the square root of \({10^{2} }\)
−5.4×10\(\sqrt{3}\)
Multiply −5.4 and 10 to get −54.
\(-54\sqrt{3}\)
Of the students in Bill's grade, 23 students have a pet and the other 10 students do not. What is the ratio of the number of students who do not have a pet to the number of students who have a pet
Answer:
10:33
Also YB better
Step-by-step explanation:
Answer: there will be 33 kids what is 33 divided by 10
3 r 3
Step-by-step explanation: 33÷ 10 = 30
Find the answer please
Answer:
7 + 8 + 6 = 21
44 + 28 + 8 = 80
60 min. = 1 hour
80 - 60 = 20
22 hours 20 minutes
The minute hand on an analog clock is 6 inches long. How far does the tip of the minute hand travel as time goes from 6:35 to 6:45?
we know that
The clock represent a complete circle
The circumference of a circle is giving by the formula
C=2pi r
where
r is the radius of the circle
In this problem
The radius of the circle is equal to the length of the minute hand
so
r=6 in
C=2pi(6)
C=12pi in
The length of the complete circle subtends a central angle 0f 360 degrees
Find out what is the central angle for 10 minutes (6:35 to 6:45)
we know that
6 hours represent 90 degrees
so
1 hour represent 15 degrees
1 hour represent 60 minutes so
divide by 6
15/6=2.5 degrees
therefore
using proportion
12pi/360=x/2.5
solve for x
x=12pi(2.5)/360
use 3.14 as pi
x=12(3.14)(2.5)/360
x=0.26 inches
The answer is 0.26 inches
what is the absoulte value of 0.75
Answer: 0.75
Step-by-step explanation:
what value of b>-1 maximizes the integral?
b
∫ x^2 (10 – x) dx
-1
The integral is maximized when b = _______
The integral is maximized when b = 3.
How to determineTo compute the value of b > -1 that maximizes the integral, we can begin by solving the integral by the standard method of integration.
The integral is as follows:
b ∫ x²(10 – x) dx
It simplifies to:
b [x³/3 - 5x²/2 + C]
If we substitute the limits of integration, we will get a definite integral.
The definite integral is:b [x³/3 - 5x²/2] (-1 to 3)
The value of b that maximizes the integral is calculated by evaluating the definite integral at the limits of integration.
It is calculated as follows:
b [3³/3 - 5(3)²/2] - b [-1²/3 - 5(-1)²/2]
After we have simplified the expression, we get:b (27/3 - 45/2 + 5/2) - b (-1/3 - 5/2)b (9/2) + b (11/6)
After we have simplified the expression, we get:
b (54/12) + b (22/12) = b (76/12)
We can see that the integral is maximized when b = 76/12 = 6.33.
However, since b must be greater than -1, the value of b that maximizes the integral is b = 3.
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What are the 5 most common Pythagorean triples?
The 5 most common Pythagorean triples are ( 3 , 4 , 5 ) , ( 5 , 12 , 13 ) ,
( 6 , 8 , 10 ) , ( 9 , 12 , 15 ) , and ( 15 , 20 , 25 ) .
Pythagorean triples:
Any three positive integers that completely satisfy the Pythagorean theorem is considered a Pythagorean triple number. According to the theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a right triangle. A Pythagorean triple consists of the three sides of a right triangle. In this article, you will learn how to create multiple Pythagorean triples.
A Pythagorean triple consists of the three natural numbers a, b, c such that a² + b² = c². These triples are usually written as (a, b, c), examples
(3, 4, 5) are well known. If (a, b, c) is a Pythagorean triple, then (ka, kb, kc) is also a Pythagorean triple for all natural k. A primitive Pythagorean triplet is a triplet in which a, b, and c are coprime (i.e., have no common divisor greater than 1). For example, (3, 4, 5) is a basic Pythagorean triple, but (6, 8, 10) is not.
A triangle whose sides form a Pythagorean triple is called a Pythagorean triangle and is necessarily a right triangle.
This name comes from the Pythagorean theorem, which states that the side lengths of each right triangle satisfy the formula a² + b² =c². A Pythagorean triple gives the length of three integers of the sides of a right triangle. However, right triangles whose sides are not integers do not form a Pythagorean triple. For example, a triangle with sides a = b = 1 and c = √2 but, (1,1,2) is not a Pythagorean triple because √2 is not an integer. Also, the numbers 1 and √2 do not have a common multiple because √2 is irrational.
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A number cube is tossed 8 times. What is the probability that the cube never lands on 3?.
The probability that the cube never lands on 3 is 23.25%
What is Probability?Mathematical explanations of the likelihood that an event will occur or that a statement is true are referred to as probabilities.A number between 0 and 1 represents the likelihood of an event, with 0 generally denoting impossibility and 1 denoting certainty. It is more likely that an event will occur if its probability is higher.The flip of a fair (impartial) coin serves as a straightforward illustration. The coin is fair, thus both possibilities are equally likely.The probability of "heads" equals the likelihood of "tails," and as there are no other conceivable outcomes, the probability of either "heads" or "tails" is 1/2 (also written as 0.5).Given
Number cube
Toss = 8
First we need to get the probability of landing on 3 in a single toss;
n(3) =
n total = 6
p(3) = \(\frac{1}{6}\)
First we need to get the probability of not landing on 3 in a single toss;
Opposite probability = 1;
So: P(3) + P(3)' = 1
hence P(3)'=\(\frac{5}{6}\)
for 8 times
\(P(3)' = (\frac{5}{6})^8 \\\) = 0.2352
The probability that the cube never lands on 3 is 23.25%
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im sorry, i need help, can someone explain it?
Answer:
vertical angle = 2 and 3
supplementary angle = 2 and 4
hope it helps
Answer:
Vertical is like 1 and 4. Supplementary is like 1 and 3.
Determined three ways have a total cost of six dollars each apple cost $1.50 each banana cost $.30 and there’s two more bananas then apples.
The cost of the apples is 2.9 dollars.
The cost of the bananas is 5.7 dollars.
How to find the number of fruits bought?The total cost is 6 dollars, each apple cost $1.50 each banana cost $.30 and there’s two more bananas then apples.
Therefore,
let
x = number of apples
y = 2x
where
y = number of bananasTherefore, using equations,
1.5(x) + y(0.30) = 6
Hence,
where
y = 2x
1.5(x) + 2x(0.30) = 6
1.5x + 0.6x = 6
2.1x = 6
divide both sides by 2.1
x = 6 / 2.1
x = 2.9 dollars
y = 2(2.9) = 5.7 dollars
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SOMEONE PLEASE HELP ME PLEASEEEEEE PLEASEEE!!!
Evaluate the expression
d2 – 3e
if d = 9 and e =5
Answer:
18-15
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
Plug in: d = 9, e = 5
(9)2 - 3(5)
9 x 2 = 18
-3 x 5 = -15
18 - 15 = 3
what does
1/4 + 1/5 + 1/3 =
help me please!!
The length of a rectangle is thirteen less than two and a half
times its width. The perimeter of the rectangle is 100 feet.
The area of the rectangle is 576.
An area is the total amount of space enclosed by a shape or figures. In this case, the rectangle would be the shape or figure that is being defined and its area would be the total amount of space enclosed by it.
The length of the rectangle is 13 less than 2 and a half times its width means : L=2 \(\frac{1}{2}\) w-13
Using the perimeter formula of the rectangle P= 2(L-W) we have
P=100
So
100=2(2( \(\frac{1}{2}\))w-13+w)
Solve for W:
100= 2×\(\frac{5}{2}\)w-26+2w
100=10/2w-26+2w
100=5w-26+2w
100=7w-26
100+26=7w
126=7w
126/7=w
W=18
We can find the length L=2 \(\frac{1}{2}\)w-13 = \(\frac{5}{2}\)(18) -13
=45-13
L= 32
Area of the rectangle is A= L×W= 32×18=576
Hence, the area of rectangle is 576.
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the study of statistics rests on what two major​ concepts?
The study of statistics rests on two major​ concepts probability which is the branch of mathematics that deals with the likelihood of events occurring and Data Analysis is the process of examining and interpreting data in order to gain insights and make better decisions
Probability theory is based on the idea that, given enough data, the frequency of an event can be predicted and allows for the formulation of mathematical models that can quantify the likelihood of particular outcomes. Probability is the foundation of statistics and helps to explain the behavior of chance events.It involves the collection, organization, and analysis of data from a variety of sources, such as survey responses, observations, experiments, or existing databases.
Data analysis is used to identify patterns and relationships in data, draw conclusions, and make decisions. It is an important part of statistics, as it helps to uncover insights that would otherwise remain hidden. Data analysis tools, such as statistical models, can be used to gain greater insight into the data.
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How to find the length of diagonal of a rhombus?
Using the Pythagoras theorem, the length of the unknown diagonal of the rhombus can be calculated
The diagonals of a rhombus are line segments drawn between opposite vertices of the rhombus. The properties of the diagonals of a rhombus are listed below.
The diagonals of a rhombus bisect each other at right angles.
The diagonals of a rhombus may not be equal.
Two diagonals divide the rhombus into four congruent right triangles.
The length of the diagonals can be calculated by various methods, such as the Pythagorean theorem or the area of a rhombus.
Example 1: Find the length of the diagonal of a rhombus if the area is 54 units2, and one diagonal is 6 units.
The area of the rhombus = 54 square units; one diagonal (q) = 6 units
We will use the formula for the diagonal of rhombus, p = (2 × Area)/q, where 'p' and 'q' are the two diagonals of the rhombus. Substituting the values, p = (2 × 54)/6 = 18 units.
Answer: Therefore, the length of the unknown diagonal is 18 units.
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please help me otherwise I will fail (1/2 + 1/2)* 700
Answer: 700
Step-by-step explanation:
Answer:
700
Step-by-step explanation:
copy and paste
Help me please!!!!!!!!!!
0.07
EXPLANATION
The number of sophmores is 2+25+3 = 30.
Of these sophmores, 2 drive to school.
So the probability that a student drives to school, given that they are a sophmore, is 2/30, or approximately 0.07.
Can help me solve this problem for topic application of trigonometry
The sides are given of the triangle.
Apply the heron's formula, to find the area of triangle.
\(A=\sqrt[]{s(s-a)(s-b)(s-c)}\)\(s=\frac{21.6+16.4+12.8}{2}=25.4\)\(A=\sqrt[]{25.4\times3.8\times9\times12.9}=\sqrt[]{11205.972}=105.85sq\mathrm{}cm\)The area of triangle obtained is 105.85 sq.cm.
In triangle ABC, angle bisectors line AD, line BE, and line CF meet at I. If DI = 3, BD = 4, and BI = 5, then compute the area of triangle ABC
The area of triangle ABC is the amount of space on the triangle
The area of the triangle is 54.84 square units
How to determine the area of triangle ABCStart by drawing the triangle (see attachment)
Next, calculate the measure of angle B using the following tangent ratio
\(\tan(B/2) = \frac 34\)
This gives
\(\tan(B/2) = 0.75\)
Take the arc tan of both sides
\(B/2 = 36.87\)
Multiply by 2
\(B = 73.74\)
Next, calculate the length of side AD using the following equation
\(AD = \tan(B) * BD\)
This gives
\(AD = \tan(73.74) * 4\)
\(AD =13.71\)
The area of the triangle is then calculated as:
\(Area = AD * BD\)
This gives
\(Area = 13.71 * 4\)
\(Area = 54.84\)
Hence, the area of the triangle is 54.84 square units
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Use the Distributive Property to evaluate the expression.
5(3 + 0.4)
OA 8.4
OB 17
C 13.4
OD 15.4
Hello there! :)
The Distributive property states:
a(b+c)=ab+ac
So, we know what a is. It's 5.
b=3
c=0.4
5(3+0.4)
5*3+5*0.4
15+0.2
15.2
Hope it helps!
\(GraceRosalia\)
Best answer is getting brainiest
Answer:
17.8
Step-by-step explanation:
We can find this because we know that to make a cube, we need to do \(c*c*c\) or \(c^3\). With this, we can simplify our equation (by taking the root of both sides) to \(c=\sqrt[3]{5639.752}\) or 17.8.
What does the word Binomial mean in math??!?!
Answer:
It is a polynomial equation with two terms usually joined by a plus or minus sign
Answer:
Binomial means when two expressions are there
Eg: 5xy, 7ny
This are 2 expression so we say this as binomials
I guess you understood
If+you+invest+$100+at+an+interest+rate+of+15%,+how+much+will+you+have+at+the+end+of+eight+years?
Answer:
$305.9022863 or $305.90 (rounded to 2 decimal places)
Step-by-step explanation:
It is a compound interest, meaning an interest accumulates on an initial amount every period. The formula
A= P(1+R)^n
A= the total amount P=Initial amount R= rate n=time period
P=$100 R=15% or 0.15(decimal) n=8 (years)
A= 100 (1.15)^8
A= 100(3.059022863)
A=305.9022863
The amount you will have after 8 years is $220
Calculating simple interestThe formula for calculating simple interest is expressed as:
SI =PRT
P is the principal = $100
T is the time = 8 years
R is the rate. = 15%
SI = 100 * 8 * 0.15
SI = $120
Amount after 8years = $100 + $120
Amount after 8years = $220
Hence the amount you will have after 8 years is $220
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Please Answer Both Of the Questions : )
1.)The price of a cell phone is usually $250. Elena’s mom buys one of these cell phones for $150. What percentage of the usual price did she pay?
2.) Elena’s dad buys another type of cell phone that also usually sells for $250. He pays 75% of the usual price. How much did he pay?
Answer:
1.)= Elana's mom played 60%.
2.)= Elena's dad payed 187.5 precent :P
Step-by-step explanation:
Simplify and write the answer as product of powers of prime numbers:
Answer:
here man let me is 1 im sure the answer is =((1))
Step-by-step explanation:
6^(-3 * 10^(-10 * 27 * 25 / 5^(-8 * 3^(4 * 2^-3))))
what is the sum of the interior angles of the polygon pictured below
Answer: 900 degrees
Step-by-step explanation:
The formula for the sum of the interior angles is (n-2)*180 where n is the number of sides.
In this case, there are 7 sides so the sum of the interior angles would be
(7-2)*180
= 5*180
= 900 degrees
true or false? "Because in a randomized controlled trial (RCT), the assignment is random, therefore there is no coverage bias---by definition" g
The statement "Because in a randomized controlled trial (RCT), the assignment is random, therefore there is no coverage bias---by definition" g is false because, it is important to consider both randomization and other factors when assessing the potential for bias in an RCT.
Random assignment in an RCT can help to reduce selection bias, but it does not guarantee the absence of coverage bias.
Coverage bias can occur if the participants who are enrolled in the trial do not represent the population to which the results will be generalized.
For example, if the trial only includes participants who are healthier or more compliant than the typical patient, the results may not be applicable to the broader population.
Therefore, it is important to consider both randomization and other factors when assessing the potential for bias in an RCT.
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Solve the equation 58 - 10x ≤ 20 + 9x
Answer:
x≥2
Step-by-step explanation:
First, write out the equation as you have it:
\(58-10x\leq20+9x\)
Then, add \(10x\) to both sides:
\(58-10x+10x\leq20+9x+10x\\58\leq20+19x\)
Next, subtract \(20\) from both sides:
\(58-20\leq20-20+19x\\38\leq19x\)
Finally, divide both sides by \(19\):
\(\frac{38}{19}\leq\frac{19x}{19}\\2\leq x\)
or
\(x\geq 2\)
Therefore: the answer to this inequality/equation is: x≥2
what is h ( t ) = − t ( 16 t + 7 ) in standard form
PLEASE HELP !!!!
y = 2x - 4
y = 4x - 6
y = 3x - 4
that's what i got
Find the vector equation of the line tangent to the graph ofr(t) at the point P0 on the curve
r(t)= (2t -1)i +√3t+4j P0(-1,2)
The vector equation of the line tangent to the graph of r(t) at the point P0(-1, 2) is (-1 + 2t)i + (2 + √3t)j.
For the vector equation of the line tangent to the graph of r(t) at the point P0(-1, 2), we need to find the derivative of r(t) with respect to t and evaluate it at t = t0.
We have:
r(t) = (2t - 1)i + (√3t + 4)j
P0(-1, 2)
To find the derivative of r(t), we differentiate each component with respect to t:
r'(t) = (2)i + (√3)j
Now, let's evaluate r'(t) at t = t0. Since P0 is the point on the curve, we can substitute t = t0 = -1 into r'(t):
r'(-1) = (2)i + (√3)j
Therefore, the vector equation of the line tangent to the graph of r(t) at the point P0(-1, 2) is:
r(t) = P0 + t * r'(-1)
Substituting the values:
r(t) = (-1)i + 2j + t * [(2)i + (√3)j]
Simplifying, we get:
r(t) = (-1 + 2t)i + (2 + √3t)j
So, the vector equation of the line tangent to the graph of r(t) at the point P0(-1, 2) is (-1 + 2t)i + (2 + √3t)j.
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51=3k
but what is k?
tysm for everyone helping me:)
Answer:
17
Step-by-step explanation:
51÷3 = 17
k=17
not sure what else to add but my answer had to be longer