Answer:
1.8 in
Step-by-step explanation:
\(A = s_1 * s_2 \rightarrow s_2 = \frac{A}{s_1} = \frac{8.28}{4.6} = \fbox{1.8}\)
what is the slope of the line?
Answer:
-1
Step-by-step explanation:
the slope of the line is given by the equation m=(y2-y1)/(x2-x1)
here the line passes with the coordinate (-2,0),(0,-2)
m=(-2-0)/(0-(-2))
= -2/2
= -1
how are the probability of an event and the probability of its complement related mathematically
The relation between the probability of its complement is that their sum is 1.
Complement in probability theory is an essential concept that helps us understand the likelihood of an event not occurring. It is a mathematical term that refers to the opposite or negation of an event.
Complement refers to the probability of an event not occurring, given the probability of it occurring. It is often denoted as the complement of an event A and is represented by A’.
The complement of an event A is defined as the set of all outcomes in the sample space that are not in A.
The probability of the complement of A is equal to the probability of all the outcomes in the sample space that are not in A.
The most important properties of the complement of an event is that the probability of an event and its complement always add up to 1. This is known as the law of complementary probability, and is expressed as:
P(A) + P(A’) = 1
This means that if we know the probability of an event occurring, we can easily calculate the probability of its complement by subtracting the probability of the event from 1.
For example, if the probability of event A is 0.7, then the probability of its complement, A’, is 1 – 0.7 = 0.3.
Hence the relation between the probability of its complement is that their sum is 1.
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NESESITO LA RESPUETA URGENTEEEEEE
\(\frac{(6)}{(3)}\)
You can use the equation A =(HW/3600)^1/2
to approximate a person's body surface area A (in square meters), where H
is height (in centimeters) and W is weight (in kilograms). Approximate the body surface area of a person with a height
of 160 centimeters and a weight of 64 kilograms.
Body surface area:______
m²
The body surface area is given by the equation A = 1.6865 m²
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the body surface area be represented as A
Now , the equation will be
A = ( HW / 3600 )^1/2
A = √( HW / 3600 ) be equation (1)
where H is the height in centimeters and W is the weight in kilograms
Now , the value of H = 160 cm
The value of W = 64 kg
Substituting the values in the equation , we get
A = √ [ ( 160 x 64 ) / 3600 ]
On simplifying the equation , we get
A = √ ( 10240/3600 )
A = √ ( 2.8444 )
A = 1.6865 m²
Therefore , the body surface area is 1.6865 m²
Hence , the equation is A = 1.6865 m²
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Which description does NOT guarantee that a quadrilateral is a parallelogram?
Answer:
B) It is a parallelogram with perpendicular diagonals.
Step-by-step explanation:
A parallelogram whose diagonals are perpendicular is a rhombus or a square. If there is no information about the angles of the quadrilateral, we cannot say for certainty that it is a square.
Brainlisted for right answer!!! 50 points!!! Please help me!!! I really need this done!!!
Step-by-step explanation:
Um sorry but I can not see the image clearly so I think that is why no one is answering. Sorry. No offense.
kelly made six batches of cookies and used 17 1/4 cups of sugar. she then made an extra batch and used 7/8 cup. how many cups of sugar did kelly use all together
Answer:
\(18\frac{1}{8}\)
Step-by-step explanation:
Make a common denominator of 8.
\(17\frac{1}{4} = 17\frac{2}{8}\)
Change the mixed number to an improper fraction.
\(17\frac{2}{8} = \frac{138}{8}\)
Add the numbers together
\(\frac{138}{8} + \frac{7}{8}\)
Figure out the answer in improper fractions.
\(\frac{138}{8} + \frac{7}{8} = \frac{145}{8}\)
Divide 145 by 8.
\(\frac{145}{8} = 18\frac{1}{8}\)
The answer is \(18\frac{1}{8}\).
Please mark me brainliest.
anthony got a new video game last week and has been playing against his dad . in their game, anthony has won 3 times as often as his dad. if anthony has won 6 games , how many game have they played
Answer:
2 games
Step-by-step explanation:
6/3 = 2
Answer:
8
Step-by-step explanation:
John has 10 quarters 11 nickels, 14 dimes and 159 pennies
his bank? He added that money to the $46.76 he had in his
savings account. How much money does John have in his
account now?
Answer:
Step-by-step explanation:10 quarters is $2.50
11 nickels is $0.55
14 dimes is $1.40
159 pennies is $1.59
Add the sum of all of those ($6.04) to the money that was originally in the bank acc.
6.04+46.76=52.80
Answer:52.80
how do I change 1/4 to a percentage .
Answer: You divide it, get your answer, move the decimal point to the right twice, and that's you're percent.
Step-by-step explanation:
1/4=.25
.25 > 25%
Answer:
The answer is 25%
Step-by-step explanation:
To change decimal to percentage multiply by 100
1/4×100%
=25%
Write a polynomial that represents the area of the shaded region
The polynomial that represents the area of the shaded region is given as follows:
x² - 3x + 36.
How to obtain the area of a rectangle?The area of a rectangle is given by the multiplication of the width and the length of the triangle, as follows:
A = lw.
For the entire region, the area is given as follows:
A = (x + 1)(x + 1)
A = x² + 2x + 1.
The area of the white region is given as follows:
Aw = 5(x - 7)
Aw = 5x - 35.
Then the area of the shaded region is given as follows:
As = A - Aw
A = x² + 2x + 1 - (5x - 35)
A = x² + 2x + 1 - 5x + 35
A = x² - 3x + 36.
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Carissa the chessplayer is a very, very slow walker. In fact, she walks at 100 meters per hour when walking uphill, 180 meters per hour when walking across flat ground, and 250 meters per hour when walking downhill. One day, Carissa walks across Boston from a café to a boba shop, and then takes the same route in reverse to return to the café. If there are equal parts of uphill, flat ground, and downhill, then what was Carissa's average speed during the entire round trip?
According to the statement, the Ship must move at an average pace of 150 meters per hour.
Is Downhill unfavorable?The variable under examination is lessened when the gradient is "downhill" (negative). When used as a gauge of how well things are doing, "downhill" denotes a downward trend. Yet, if this indicates trouble or some other unpleasant quality, the situation is improving.
The chess player Carissa walks very, very slowly. She actually moves at speeds of 100 meters per hr upward, 150 meters per hr on flat terrain, and 200 meters every hour on downhill terrain.
Here,
Carissa traverses Boston on foot from a coffeehouse to a boba store before returning over the same path.
Total distance walked = 2 [200 + 100 + 150] = 900 meter
Total time = 2 [1 + 1 + 1] = 6 hour
Average speed is calculated as distance divided by time (900 / 6 = 150 m/s),
As a result, the needed Carissa average speed is 150 meters per hr.
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a theater can hold 120 giants or 144 elves, if 90 giants are already in the theater how much elves can be admitted?
Answer:
36 more elves
Step-by-step explanation:
90 giants takes up 90/120 = 0.75 of the whole theater, leaving 0.25 empty for the elves.
0.25 * 144 = 36
36 more elves can fit.
Answer:
36 elves
Step-by-step explanation:
Hope this helps
If the Federal Reserve sells $60,000 in Treasury bonds to a bank at 8%
interest, what is the immediate effect on the money supply?
A. It is increased by $64,800.
B. It is decreased by $60,000.
C. It is increased by $60,000.
D. It is decreased by $64,800.
If the Federal Reserve sells $60,000 in Treasury bonds to a bank at 8% interest, the immediate effect on the money supply is B. It is decreased by $60,000.
What decreases the money supply?One of the monetary factors that decreases the money supply in the economic is when the Federal Reserve raises the banks' reserve requirements.
Another factor that can decrease the money supply is the sale of treasury bonds to banks.
Raising the interest rates also decreases the money supply.
Thus, by selling $60,000 in Treasury bonds to a bank at 8% interest, it decreases the money supply.
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Find the Measure of each angle.
Answer:
x = 10
Step-by-step explanation:
to find the measure of angles we first need to find the value of x
The sum of interior angles in a triangle is equal to 180
9x + 7x + 2x = 180 add like terms
18x = 180 divide both sides by 18
x = 10 to find angle measures replace x with 10 in each representative like:
m<L = 9x and 9*10 = 90 and so on
What are positivly charged particles in an atoms nucleus called
Answer:
proton is the word you're looking for.
In a right-angled triangle the ratio of the two smaller angles is 3:2. Find the sizes of each of the angles.
Answer:
36° , 54° , 90°
Step-by-step explanation:
since the triangle is right then one angle is 90°
the ratio of the smaller angles = 3 : 2 = 3x : 2x ( x is a multiplier )
the sum of the 3 angles in the triangle is 180° , that is
3x + 2x + 90 = 180
5x + 90 = 180 ( subtract 90 from both sides )
5x = 90 ( divide both sides by 5 )
x = 18
Then
3x = 3 × 18 = 54°
2x = 2 × 18 = 36°
the 3 angles measure 36° , 54° , 90°
Someone plss help I tried and I still can't get it plss help me
Answer:
-18 is an integer but not a whole number
Step-by-step explanation:
a whole number is only positive numbers and 0 itself while an integer is basically any number that isn't a decimal or a fraction. -18 is an integer, but it can't be a whole number because it is a negative number.
The following expression is equal to q". What is the value of n?
We can see here that the value of n = 16.
What is an expression?An expression in mathematics is a combination of numbers, variables, and mathematical operations that represent a mathematical value or concept. It can be a single term, such as "5x", or a combination of terms, such as "5x + 2". Expressions are used to describe mathematical relationships and equations, and they can be simplified, evaluated, and solved to determine a numerical value.
Below is how we got n.
We can see that having: \(\frac{(q^{4} )^{-3} }{q^{-15} }\)
\(\frac{(q^{4} )^{-3} }{q^{-15} } = q^{n}\)
Thus, \(\frac{(q^{4} )^{-3} }{q^{-15} } = \frac{q^{4-3} }{q^{-15} }\)
∴ \(\frac{q^{4-3} }{q^{-15} } = q^{1-(-15)} = q^{1+15} = q^{16}\)
Therefore, \(q^{n} = q^{16}\)
Thus, n = 16.
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factorise x³-4x²+x+6
The binomial factors of x³- 4x²+x+6 are (x+2), (x+3), and (x-1).
Using the splitting and grouping the terms:
x³ + 4x² + x - 6
= x³ + 2x² + 2x² + x - 6 [Splitting 4x² = 2x² + 2x²]
= (x³ + 2x²) + (2x² + x - 6)
= x² (x + 2) + (2x² + 4x - 3x - 6)
= x² (x + 2) + [ 2x (x + 2) - 3 (x + 2)]
= x² (x + 2) + (x + 2) (2x - 3)
= (x + 2) ( x² + 2x - 3)
= (x + 2) ( x² + 3x - x - 3)
= (x + 2) [x (x + 3) - 1 (x + 3)]
= (x + 2) (x + 3) (x - 1)
Hence, the binomial factors are (x + 2), (x + 3) and (x - 1)
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Determine that the value x=9 of the following expiration given x2+3x-5
Step-by-step explanation:
To determine the value of x that satisfies the expression x^2 + 3x - 5 when x = 9, we simply substitute 9 for x and evaluate the expression:
9^2 + 3(9) - 5 = 81 + 27 - 5 = 103
Therefore, when x = 9, the expression x^2 + 3x - 5 evaluates to 103.
rate my answer, please.
The ratio of cats to dogs at the park was 5:7 if there were 60 total how many were dogs
Answer:
5
Step-by-step explanation: i think its right but you need to add the 5 and 7, and i divided it by the amount total, :)
Please explain your answer with each step.
Find the amount of increase and the percent increase if the original amount is 390 and the new amount is 546.
If the original amount is 390 and the new amount is 546, the amount of increase is 156 and the percent increase is 40%. This indicates that the new amount is 156 units higher than the original amount, representing a 40% increase.
To find the amount of increase and the percent increase between the original amount and the new amount, we can follow these steps:
1. Start with the original amount: 390.
2. Determine the increase by subtracting the original amount from the new amount: 546 - 390 = 156.
3. The amount of increase is 156. This means that the new amount is 156 units greater than the original amount.
4. To calculate the percent increase, divide the amount of increase by the original amount and then multiply by 100: (156 / 390) * 100 = 40.
5. The percent increase is 40%. This means that the new amount is 40% greater than the original amount.
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PLS HELP ME!
A ladder 25ft long leans against a vertical wall with it's foot on level ground 7ft from the base of the wall. If the foot is pulled away from the wall at the rate 2ft/s , Express the distance (yft)of the top of the ladder above the ground as a function the time t second in moving
Answer:
what is this language
Step-by-step explanation:
Answer:
hope it will help you.....
determine the dimensions of the kitty pool. You will know the combined area of the pool and the pad do you have some clues about the length and the width that are related.
Answer: We have to find the dimension of a pool, provided the total area of it is 5000 square feet, and some clues and algebraic relation between length and width:
Diagram:
The diagram according to the information provided is as follows:
The following mathematical equation relates the total area of the pool with the dimensions of the pool:
\(A=5000ft^2=2[h\times l]+2[w\times l]+2[w\times h]\Rightarrow(1)\)Plugging in the known variables in equation (1) gives a solvable equation as follows:
\(\begin{gathered} A=5,000ft^2=2[20ft\times(w+30)]+2[w\times(w+30)]+2[w\times20ft] \\ \\ \\ 5000ft^2=2(20w+600)+2(w^2+30w)+2(20w) \\ \\ 5000ft^2=40w+1200+2w^2+60w+40w \\ \\ 2w^2+140w+1200=5000 \\ \\ 2w^2+140w+1200-5000=0 \\ \\ 2w^2+140w-3800=0\Rightarrow(2) \end{gathered}\)The solution to the quadratic equation (2) is as follows:
\(\begin{gathered} 2w^2+140w-3800=0 \\ \\ \text{ Using the quadratic formula we get:} \\ \\ w=\frac{-(140)\pm\sqrt{(140)^2-(4\times2\times-3800)}}{(2\times2)}=\frac{-140\pm\sqrt{19600+30400}}{4} \\ \\ w=\frac{-140\pm\sqrt{50000}}{4}=\frac{-140\pm223.61}{4} \\ \\ w=\frac{223.61-140}{4}=20.9025 \\ \\ w=\frac{-140-223.61}{4}=-90.9025 \end{gathered}\)Therefore the dimensions are:
\(\begin{gathered} w=20.90ft \\ \\ l=w+30\Rightarrow l=50.90ft \\ \\ h=20ft \end{gathered}\)fraction bears the same ratio to 1/27 as 3/7 does to 5/9.then the fraction is?
The fraction that bears the same ratio to 1/27 as 3/7 does to 5/9 is 27/35.
To find the fraction that bears the same ratio to 1/27 as 3/7 does to 5/9, we can set up a proportion.
Let's represent the unknown fraction as x. The ratio can be configured as follows:
x / (1/27) = (3/7) / (5/9)
To solve this proportion, we can cross-multiply:
(x * 5/9) = (3/7) * (1/27)
Simplifying the right side:
(x * 5/9) = 3/189
To eliminate the fraction on the left side, we can multiply both sides by the reciprocal of 5/9, which is 9/5:
(x * 5/9) * (9/5) = (3/189) * (9/5)
Simplifying further:
x = 27/35
Therefore, the fraction that bears the same ratio to 1/27 as 3/7 does to 5/9 is 27/35.
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Find the measure of each angle in the problem.
Answer:
C
Step-by-step explanation:
70+20=90 and thats a right angle which is 90°
GIVING 100 POINTS! just answer these 5 and ignore my answers, unless they are somehow correct!
#1
(-3,1)(3,-3)\(\\ \sf\longmapsto m=\dfrac{-3-1}{3+3}=\dfrac{-4}{6}=\dfrac{-2}{3}\)
Slope of the line perpendicular to it (Reciprocal of line slope)\(\\ \sf\longmapsto \dfrac{-3}{2}\)
Option B
#2
Attached(1)
#3
Attached (2)
#4
Attached (3)
#5
(-3,7)(3,3)\(\\ \sf\longmapsto Slope=m=\dfrac{3-7}{3+3}=\dfrac{-4}{6}=\dfrac{-2}{3}\)
Put in slope intercept form
\(\\ \sf\longmapsto y=mx+b\)
\(\\ \sf\longmapsto 3=\dfrac{-2}{3}(3)+b\)
\(\\ \sf\longmapsto 3=b-2\)
\(\\ \sf\longmapsto b=3+2=5\)
Equation of the line:-
\(\\ \sf\longmapsto y=\dfrac{-2}{3}x+5\)
Option C
PLEASE HELP WILL GIVE BRAINLIEST IM TAKING TEST RN
A. 7x + y = 13
B. x−7y=13
C. 7x−y=−13
D. x + 7y = 13
Answer:
I'm not 100% sure however I believe it would be x + 7x
Step-by-step explanation:
You start with what u have and then every week u get $7 each week. So I think this would be the best option however if it isnt right then I'm very sorry.
Hope this helps!
Tuition for one year at the University of Houston is about $12,300. Azul plans to attend this university and will save money each month for the next 4 years. His parents have saved $4,860 for his first year of tuition. Which plan shows the amount of money Azul will need to save in order to pay for his first year at the University of Houston?
Answer:
The correct option is B. Azul will need to save $155 per month for the next 4 years.
Step-by-step explanation:
Note: This question is not complete. The complete question is therefore provided before answering the question as follows:
Tuition for one year at the University of Houston is about $12,300. Azul plans to attend this university and will save money each month for the next 4 years. His parents have saved $4,860 for his first year of tuition. Which plan shows the amount of money Azul will need to save in order to pay for his first year at the University of Houston?
A. Azul will need to save $1,860 per month for the next 4 years.
B. Azul will need to save $155 per month for the next 4 years.
C. Azul will need to save $620 per month for the next 4 years.
D. Azul will need to save $256.25 per month for the next 4 years
The explanation to the answer is now given as follows:
Tuition for one year at the University of Houston = $12,300
Amount already saved by Azul's parents = $4,860
Remaining total amount needed = Tuition for one year at the University of Houston - Amount already saved by Azul's parents = $12,300 - $4,860 = $7,440
n = Number of months required to save the remaining amount = 4 years * 12 months = 48
Amount needed to save per month = Remaining total amount needed / n = $7,440 / 48 = $155
Therefore, the correct option is B. Azul will need to save $155 per month for the next 4 years.