Answer:
\(\begin{array}{cccccc}x & {1} & {2} & {3} & {4} & {5} \ \\ y & {14} & {13} & {12} & {11} & {10} \ \\ A & {14} & {26} & {36} & {44} & {50}\ \end{array}\)
Step-by-step explanation:
Given
\(\begin{array}{cccccc}x & {1} & {2} & {3} & {4} & {5} \ \\ y & {14} & {13} & {12} & {11} & {10} \ \\ A & { } & { } & { } & { } & {50}\ \end{array}\)
Required
Complete the table of Areas
Using the complete column:
Where x = 5, y = 10 and A = 50,
We can deduce that, the area is calculated as:
\(A = 5 * 10 = 50\)
i.e.
\(A = x * y\)
So, for other values of x and y, the area is calculated as thus:
\(x = 1; y = 14\)
\(A = 1 * 14 = 14\)
\(x = 2; y = 13\)
\(A = 2 * 13 = 26\)
\(x = 3; y=12\)
\(A = 3 * 12 = 36\)
\(x =4;y =11\)
\(A = 4 * 11 = 44\)
So, the complete table is:
\(\begin{array}{cccccc}x & {1} & {2} & {3} & {4} & {5} \ \\ y & {14} & {13} & {12} & {11} & {10} \ \\ A & {14} & {26} & {36} & {44} & {50}\ \end{array}\)
1.
Find the area of the kite.
253.92 m²
380.88 m²
126.96 m²
190.44 m²
6.9 m
9.2 m
9.2 m
13.8 m
Step-by-step explanation:
Area of a kite = D1 × D2/2
D1 = 6.9 + 13.8 = 20.7m
D2 = 9.2 + 9.2 = 18.4m
Area =. 20.7 × 18.4
------------------
2
= 190.44m²
Friction is a force too. how can friction help you in your daily life? how can it hurt you?
Answer:
friction is what helps you to walk
Step-by-step explanation:
your foot rubbing against the floor cause friction
Answer:
Friction helps you: Brakes us friction to stop a wheel like on cars, bikes, etc.
Friction hurts you: It can hurt you like when you fall it creates friction and can scrape yourself
[Will Give Brainliest] What is the area of the trapezoid?
Enter your answer in the box.
Answer:
A = 378 in²
Step-by-step explanation:
the area (A) of a trapezoid is calculated as
A = \(\frac{1}{2}\) h (b₁ + b₂ )
where h is the perpendicular height between the bases b₁ and b₂
here b₁ = 6 + 15 + 6 = 27 , b₂ = 15 ( equal to middle section of b₁ ), h = 18, so
A = \(\frac{1}{2}\) × 18 × (27 + 15) = 9 × 42 = 378 in²
Of the two lights on Dexter
Street, the probability of the
lights being red is 20% for the
First light and 30% for the
second light. If a car is driving
down Dexter Street, what is
the probability that it does not
get stopped at either light?
Answer:
I am pretty sure it is a 50% chance.
Step-by-step explanation:
20 + 30 = 50%
if teen romance had 20% in a circle graph and 4,000 books were signed out in the summer how many of them were teen romance
Answer:
800 Books were signed out
Step-by-step explanation:
20% of 4000 is 800
Hi there!
»»————- ★ ————-««
I believe your answer is:
800 books.
»»————- ★ ————-««
Here’s why:
As mentioned in the question, there are 4,000 books signed out during the summer.20% out of the 4,000 were teen romance books.⸻⸻⸻⸻
\(\boxed{\text{20 Percent of 4,000:}}\\\\\rightarrow 4,000* (20/100)\\\\\rightarrow \boxed{800}\)
⸻⸻⸻⸻
There should be 800 books that were teen romance.
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
A card is selected at random from an ordinary deck of 52 cards. What is the probability that it is either an ace or a spade
Answer: 4/13
Step-by-step explanation:
Number of cards in a deck = 52
Number of spades = 13
Number of aces = 4
Number of ace of spade = 1
Probability of either a spade or an ace :
P(spade or ace) = P(spade U ace)
P(spade U ace) = p(spade) + p(ace) - p(spade n ace)
Probability = required outcome / Total possible outcomes
P(spade) = 13 / 52
P(ace) = 4 / 52
P(spade n ace) = 1 / 52
P(spade U ace) = p(spade) + p(ace) - p(spade n ace)
= 13/52 + 4/52 - 1/52
= 16 / 52 = 4 /13
What is the length of the hypotenuse of the triangle if Side A = 11 and Side B = 5? What is the length of Side C?
Answer:
34mx32
Step-by-step explanation:
Hey guys please help me with my quiz its about finding the values of letters in angles!!
The value of x is given as follows:
x = 24.
The measure of angle DFE is given as follows:
<DFE = 62º.
How to obtain the measures?To obtain the measures, we consider that the sum of the measures of the internal angles of a triangle is of 180º.
The internal angle measures for this problem are given as follows:
180 - (5x - 14) -> each angle is supplementary with it's external.44º.3x - 10.Hence the value of x is obtained as follows:
180 - 5x + 14 + 44 + 3x - 10 = 180
228 - 2x = 180
2x = 48
x = 24.
The measure of angle DFE is obtained as follows:
<DFE = 3(24) - 10
<DFE = 72 - 10
<DFE = 62º.
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the doctor uses a computer to make a list of every patient between the ages 18 and 25. she selects every third name on this list. is this sample likely to be representative of the population of her patients? explain
Cindy plans to join a gym. A gym membership at Fit Factor cost $300 for the year but each group exercise cost an additional $10. Cindy wants to spend at most $1000 for the year. Find the maximum number of group classes Cindy can take in one year.
Answer: 70
Step-by-step explanation:10x70=700+300=1,000
1x²- 16x = 20 is mg questions
The solutions to the equation 1x² - 16x = 20 are x = 8 + 2√21 and x = 8 - 2√21.
To solve the quadratic equation 1x² - 16x = 20, we need to rearrange it into the standard form ax² + bx + c = 0. Let's simplify the equation step by step:
1x² - 16x = 20
First, move all terms to one side of the equation:
1x² - 16x - 20 = 0
Now we have a quadratic equation in the standard form. To solve it, we can use factoring, completing the square, or the quadratic formula. In this case, factoring may not be straightforward, so let's use the quadratic formula:
x = (-b ± √(b² - 4ac)) / (2a)
For our equation, a = 1, b = -16, and c = -20. Substituting these values into the quadratic formula:
x = (-(-16) ± √((-16)² - 4(1)(-20))) / (2(1))
Simplifying further:
x = (16 ± √(256 + 80)) / 2
x = (16 ± √336) / 2
x = (16 ± √(16 * 21)) / 2
x = (16 ± 4√21) / 2
Simplifying:
x = 8 ± 2√21
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1. What is the perimeter of the isosceles triangle shown below? If necessary, round to the nearest tenth.
2.Find the distance between A and B.
3. Find the distance between A and B.
Answer:
same question pls no inglish very good
Step-by-step explanation:
OK for real this is a hard only verified experts can do this!!!!
The numeric value of the exponential expression in this problem is given by the following option:
A. 2^12.
How to obtain the numeric value of the exponential expression?The exponential expression for this problem is defined as follows:
8^x/2^y.
8 is the third power of 2, hence:
8 = 2^3.
When a term is elevated to two of it's powers, the powers are multiplied, hence:
(2^3)^x = 2^(3x).
Meaning that the exponential expression is then written as follows:
8^x/2^y = 2^(3x)/2^y.
When two terms of the same base and different exponents are divided, we keep the base and subtract the exponents, hence the expression is given as follows:
2^(3x)/2^y = 2^(3x - y).
As stated in the problem, the numeric value of the expression 3x - y is given as follows:
3x - y = 12.
Hence the entire expression is simplified as follows:
2^(3x - y) = 2^12.
Meaning that the correct option is given by option A.
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Answer:A. 2^12.
Step-by-step explanation:i did it and got it right
2 1/2 divided by 3 4/6=?
Please help me.
Answer:
15/22
Step-by-step explanation:
-12 41/24 in simplest form.
Answer:
-13 17/24
Step-by-step explanation:
-12 41/24 is equivalent to -(-12 41/24), or - (12 + 24/24 + 17/24)
Combining 12 and 24/24, we get 13, and thus have: -(13 17/24), or
-13 17/24
Answer:
-11 17/24
Step-by-step explanation:
-12 41/24 is equivalent to -(-12 41/24), or - (12 + 24/24 + 17/24)
Combining -12 and 24/24, we get -11, and thus have: -(11 17/24), or
-11 17/24
If 7 4/5 is added to 2 3/4 , what is the sum?
Answer: 9 7/20
Step-by-step explanation:
7 4/5 + 2 3/4
Multiply the Denominators = 20
Add Numerators = 7
Add Whole Numbers = 9
Answer 9 7/20
Here is a table that shows students scores for 10 rounds of a video game. What is the median score?
145 is the median :)
Answer:
145
Step-by-step explanation:
130 + 150 + 120 + 170 + 130 + 120 + 160 + 160 + 190 + 140 = 1470
1470 ÷ 10 = 145
The difference of the square of a number and 8 is equal to 8 times that number. Find the positive solution.
Answer:
\(2\sqrt{6} +4\)
Step-by-step explanation:
Let x be that unknown number.
From the information given from the question, we can deduce:
\(x^{2} -8=8x\)
From here, we can solve for x to find what is the number.
\(x^{2} -8=8x\\x^{2} -8x-8=0\) (Quadratic Equation)
From here we can use the Quadratic Formula to solve for x.
\(x=\frac{-b+/-\sqrt{b^{2} -4ac} }{2a}\)
In this case,
a = 1, b = -8 , c = -8
We substitute a, b and c to find x.
\(x=\frac{-(-8)+/-\sqrt{(-8)^{2}-4(1)(-8) } }{2(1)} \\= 2\sqrt{6} +4\)
(Reject the negative solution)
which of the following statements about XY and XZ is true?
Answer: A. XZ is longer than XY
Step-by-step explanation: quiz A-P-E-X
Answer:
C
Step-by-step explanation:
12. Diseases tend to spread exponentially. In the early days of AIDS, the growth rate was around 190%. In 1983, about 1700 people in the US died of AIDS. If the trend had continued unchecked, how many people would have died from AIDS in 1990?people
SOLUTION
The formula for exponential growth is given as
\(\begin{gathered} f(x)=a(1+r)^x \\ \text{where } \\ a=initial\text{ amount } \\ r=\text{growth rate } \\ x=\text{ numer of years } \end{gathered}\)From the question, the given parameters are
\(\begin{gathered} \text{ a=1700} \\ r=\frac{190}{100}=1.9 \\ x=1990-1983=7 \\ let\text{ number of people in that would have died in 1990 be y} \end{gathered}\)Then replace the parameters in the formula above
\(\begin{gathered} y=1700(1+1.9)^7 \\ \\ y=1700(2.9)^7 \\ \text{then} \\ y=1700\times1724.987 \\ y=2932479 \end{gathered}\)Hence
The number of people that would have died from Aids in 1990 will be 2932479
OMG PLEASE I BEG I NEED HELP 5th grade math
Answer: A
Step-by-step explanation:
Volume= LxWxH so we get 20x28x24 as given.
Volume= 13,440 which is the volume of the box given. ANd so if the box is 10,500cubic inches, we subtract to find the difference.
13,440-10,500= 2,940 Cubic Inches
Option A
Answer:
Part A: 13440 cubic inches.
Part B: A - 2940 cubic inches.
Step-by-step explanation:
The volume of the box = 24x20x28 = 13440 cubic inches.
The problem tells us that his gift is 10,500 cubic inches. So subtract that from the volume of the box.
13440-10500 = 2940 cubic inches. The answer is A.
There are two traffic lights on the route used by a certain individual to go from home to work. Let E denote the event that the individual must stop at the first light, and define the event F in a similar manner for the second light. Suppose that P(E) = .4, P(F) = .2 and P(E intersect F) = .15.
(a) What is the probability that the individual must stop at at least one light; that is, what is the probability of the event P(E union F)?
The probability that the individual must stop at at least one light that is 0.45.
What is Probability?Probability is the mathematical tool or procedure of predicting how likely a given event is going to happen.
Given is that there are two traffic lights on the route used by a certain individual to go from home to work. Let {E} denote the event that the individual must stop at the first light, and define the event {F} in a similar manner for the second light. Suppose that -
P(E) = 0.4P(F) = 0.2 P(E ∩ F) = 0.15.We can write -
P{E ∪ F} = P{E} + P{F} - P{E ∩ F}
P{E ∪ F} = 0.4 + 0.2 - 0.15
P{E ∪ F} = 0.6 - 0.15
P{E ∪ F} = 0.45
Therefore, the probability that the individual must stop at at least one light that is 0.45.
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A rectangle has length of 10 mm. • and breadth 7mm calculate its perimeter YW
Answer:
34 mm
Step-by-step explanation:
P = 2 x (L + B) for a rectangle
P = 2 x (10 + 7) = 2 x 17 = 34
Which unit of measurement is part of the metric system?
O quart
O kilogram
O foot
O pound
Answer:
2. kilograms
Step-by-step explanation:
h(x) = 3x + 3
g(x)=-4x+1
Find (h+ g)(10)
Answer:
(h + g)(10) = -6
Step-by-step explanation:
Step 1: Define
h(x) = 3x + 3
g(x) = -4x + 1
Step 2: Find (h + g)(x)
(h + g)(x) = 3x + 3 + -4x + 1
(h + g)(x) = -x + 4
Step 3: Substitute and Evaluate
(h + g)(10) = -10 + 4
(h + g)(10) = -6
An artist's canvas has sides measuring 3x + 5 and 2x + 1 inches.
What is the area of the canvas? Show all work.
The artist laid the canvas flat on the floor and poured some paint in the center. The paint flows at a rate of r(t) = 2t where t represents time in minutes and r represents how far the paint is spreading on the canvas. The area of the paint can be expressed as A[r(t)]= rur?. What is the area of the circle created by the paint?
If the artist wants the circle to be at least 300 in?, will it be that large in 5 minutes? Support your answer with your work.
The area of the circle created by the paint is given by the expression 4πt².
The area of the circle is 100π, which is approximately 314.16 in².
The circle will be at least 300 in² in 5 minutes. Yes.
To find the area of the canvas, we multiply the lengths of its sides:
Area = (3x + 5) × (2x + 1)
Expanding the expression:
Area = 6x² + 3x + 10x + 5
Combining like terms:
Area = 6x² + 13x + 5
The area of the canvas is given by the expression 6x² + 13x + 5.
Now, let's find the area of the circle created by the paint.
The area of a circle is given by the formula A = πr², where r represents the radius.
The radius is given by the spreading of paint, which is r(t) = 2t.
Substituting the value of r(t) into the formula, we have:
A[r(t)] = π(2t)²
Simplifying:
A[r(t)] = π(4t²)
A[r(t)] = 4πt²
Now, let's determine if the area of the circle will be at least 300 in² in 5 minutes.
Substitute t = 5 into the area formula:
A[r(5)] = 4π(5)²
A[r(5)] = 4π(25)
A[r(5)] = 100π
Since 314.16 in² is larger than 300 in², the circle created by the paint will be larger than 300 in² in 5 minutes.
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Graph a line that contains the point (-7,-4)and has a slope of - 2/3
Hi there! :)
Answer:
Given the information, we can write an equation in slope-intercept form
(y = mx + b) to graph the line:
Plug in the slope for 'm', the y-coordinate of the point given for 'y', and the
x-coordinate given for 'x':
-4 = -2/3(-7) + b
-4 = 14/3 + b
Solve for b:
-12/3 = 14/3 + b
-12/3 - 14/3 = b
-26/3 = b
Therefore, the equation of the line is y = -2/3x - 26/3 (Graphed below)
Some points on the line include:
(-7, -4)
(-4, -6)
(0, -26/3)
(2, -10)
(5, -12)
Find the numerical value of the area under the normal curve given the following information:
NOT between -0.79 and 0.99 standard deviations
enter your answer as a decimal (NOT percentage) and lead with a zero...for example: 0.1234
Answer:
0.37585
once again just look up the numbers on the Z table..
in this case you want the values to the LEFT of z=-.79 and to the RIGHT of z=.99
Step-by-step explanation:
-0.79 (L)0.21476
0.99 (R)0.16109
0.37585
The numerical value of the area under the normal curve is 0.3759 if the standard deviation value is NOT between -0.79 and 0.99.
What is a normal distribution?It's the probability curve of a continuous distribution that's most likely symmetric around the mean. On the Z curve, at Z=0, the chance is 50-50. A bell-shaped curve is another name for it.
We have given:
The standard deviation value = NOT between -0.79 and 0.99
= P(not between - 0.79 and 0.99)
= P( x < -0.79) + P(x > 0.99)
= 1 - P( x < 0.79) + 1 - P(x < 0.99)
From the Z-table:
P( x < 0.79) = 0.7852
P(x < 0.99) = 0.8389
= 2 - 0.7852 - 0.8389
= 2 - 1.6241
= 0.3759
Thus, the numerical value of the area under the normal curve is 0.3759 if the standard deviation value is NOT between -0.79 and 0.99.
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I wrote my last question wrong. What's 4w^2 if the w = 3?
Answer:
144
Step-by-step explanation:
1. Rewrite question since you know the variable. Rewritten it would be 4×3^2
2. Do multiplication. 4 times 3 is 12
3. Square 12 which means 12 times 12
4. 12 times 12 is 144.
Hopefully it's right!
XZ.P Point P(-7, 2) is mapped onto P¹ (3, -11) by the reflection y=mx+c. find the values of the constants m and c.
The values of the constants m and c include the following:
m = -1.3
c = 7.1
What is the slope-intercept form?In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;
y = mx + c
Where:
m represent the slope or rate of change.x and y are the points.c represent the y-intercept or initial value.Since the point P(-7, 2) is mapped onto P' (3, -11) by the reflection y = mx + c, we can write the following system of equations;
2 = -7m + c ...equation 1.
-11 = 3m + c ...equation 2.
By solving the system of equations simultaneously, we have:
2 = -7m - 3m - 11
11 + 2 = -10m
13 = -10m
m = -1.3
c = 7m + 2
c = 7(-1.3) + 2
c = -7.1
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