Answer:
the ans is 9000
Step-by-step explanation:
simple interest= 60000*3*5/100
A rectangle is 6 meters long and 4 meters wide. What is the area of the rectangle?
24 cm 2
10 cm 2
48 cm 2
20 cm 2
How much, including taxes of 12%, would you pay for an item with a retail price of $194.95?
Answer:
$217.88
Step-by-step explanation:
12% of 194.95 plus the original cost of 194.94 equals the total
1.12*194.54 = $217.8848
Rounded: $217.88
Evaluate the limit, lim x -> 0 (x * cos theta - theta * cos x)/(x - theta)
The limit of
[tex]$\lim _{x \rightarrow 0}\left(\frac{x \cos (\theta)-\theta \cos (x)}{x-\theta}\right)=1$$[/tex].
What are limits?In Mathematics, a limit exists described as a value that a function approaches the output for the provided input values. Limits exist necessary in calculus and mathematical analysis and exist utilized to determine integrals, derivatives, and continuity.
Given:
[tex]$\lim _{x \rightarrow 0}\left(\frac{x \cos (\theta)-\theta \cos (x)}{x-\theta}\right)$$[/tex]
Substitute the value x = 0, then we get
[tex]$=\frac{0 \cdot \cos (\theta)-\theta \cos (0)}{0-\theta}$$[/tex]
Simplify the above equation, we get
[tex]$\frac{0 \cdot \cos (\theta)-\theta \cos (0)}{0-\theta}= 1$[/tex]
Therefore, the limit of
[tex]$\lim _{x \rightarrow 0}\left(\frac{x \cos (\theta)-\theta \cos (x)}{x-\theta}\right)=1$$[/tex]
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Simplify the expression using the proper order of operations
5[6 ÷ 2^2 ∙ 3 - 1]
The simplification of the expression 5(6 ÷ 2² × 3 - 1) using the proper order of operation is 3.75
Simplification5(6 ÷ 2² × 3 - 1)
Bodmas
B - BracketO - ofD - divisionM - MultiplicationA - AdditionS - Subtraction= 5(6 ÷ 4 × 3 - 1)
= 5(6 ÷ 4 × 2)
= 5(6 ÷ 8)
= 5(0.75)
= 3.75
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When a constant force is applied to an object, the acceleration of the object varies inversely with its mass. When a certain constant force acts upon an object with mass 2kg, the acceleration of the object is 12 m/s^2. When the same force acts upon another object, its acceleration is 8m/s^2. What is the mass of this object?
The mass of the second object exists at 3 kg.
How to estimate the mass of the second object?Let, F be the Force
a be the acceleration
m be the mass
The formula of force exists F = m [tex]*[/tex] a
Since force exists constant, then:
[tex]$m_1 = 2 kg, a_1 = 12 m/s^2[/tex] subset 1 designates the first object
[tex]$m_2 = ? , a_2 = 8m/s^2[/tex] subset 2 designates the second object
To estimate the mass of the second object
A constant force indicates [tex]$ m_1 * a = m_2 * a[/tex]
The mass of second object [tex]m_2[/tex], we get
[tex]m_1 * a = m_2 * a[/tex]
[tex]$m_2 = \frac{m_1 * a}{a}[/tex]
[tex]$=\frac{2*12}{8}[/tex]
= 24/8 = 3 kg
Therefore, the mass of the second object exists at 3kg.
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Fill in the missing term in the pair of equivalent ratios. *
5:30 15:
Your answer
The state low temperatures for five states are as follows: -42
write the equivalent of the fraction using a denominator of 52. 2/13
Answer: 8/52
2/13=x/52
(2×52)/13=x
104/13=x
8=x
x=8
8 is the equivalent of the fraction using a denominator of 52. 2/13
Equivalent fractions can be defined as fractions that may have different numerators and denominators but they represent the same value. For example, 9/12 and 6/8 are equivalent fractions because both are equal to 3/4 when simplified.
All equivalent fractions get reduced to the same fraction in their simplest form as seen in the example given above. Explore the given lesson to get a better idea of how to find equivalent fractions and how to check if the given fractions are equivalent.
⇒[tex]\frac{2}{13} =\frac{x}{52}[/tex]
⇒[tex]\frac{2(52)}{13} = x[/tex]
⇒[tex]x = 8[/tex]
therefore, 8 is the equivalent of the fraction using a denominator of 52. 2/13
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A ball is thrown in the air from the top of a building. Its height, in meters above ground, as a function of time, in seconds, is given by
h(t) = −4.9t(squared) + 20t + 12.
How long does it take to reach maximum height? (Round your answer to three decimal places.)
The ball takes approximately a time of 2.041 seconds to reach its maximum height.
What time does the ball take to reach maximum height?
The height of the ball as a function of time is modelled by a quadratic equation, the required information can be found by transforming the expression into vertex form:
h = - 4.9 · t² + 20 · t + 12
h = - 4.9 · (t² - 4.082 · t - 2.449)
h + (- 4.9) · (6.615) = - 4.9 · (t² - 4.082 · t + 4.166)
h - 32.414 = - 4.9 · (t - 2.041)²
The ball takes approximately a time of 2.041 seconds to reach its maximum height.
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WHICH LINE IS PERPENDICULAR TO THE LINE WITH EQUATION Y = -1/2X?
Answer:
y=-1/4x+3 is the answer.
Mark as brainlist pls pls pls pls pls pls pls pls!!!!!!!!!!
What is the missing exponent in the equation 3 TO THE SEVENTH POWER EQUALS 27
Answer: 3 to the 3rd power equals 27
Step-by-step explanation: Because a exponent is the number times itself 3x3 equals 9 that's already 2 then 9x3 equals 27 so anything above is to much
Numbers from 1 to 50 Find the probability of choosing
numbers with 4 in tens places.
Answer: 1/5
Step-by-step explanation:
There are 10 numbers, out of 50, which have a 4 in their tens place: 40, 41, 42, 43, 44, 45, 46, 47, 48, and 49.
Therefore our desired probability is 10/50 or 1/5.
A shop has this offer.
£5 reduction if you spend more than £100
or
£10 reduction if you spend more than £140
or
£20 reduction if you spend more than £180
At the shop, shirts cost £49 each.
Tim buys 3 shirts
Craig buys 5 shirts
How much more than Tim does Craig pay?
Optional working
Answer: £
Make sure the answer is 100% correct. Then circle the answer in a circle.
Answer:
False
Any integers that the numbers 5, 10 , 15 but 20 can be used as a counter argument against the statement.
Step-by-step explanation:
The claim is that A⊆B which stands for that A is a SUBSET in B, or that B contains A.
The truth is that B⊆A since 5 has more possible outcomes than 20 in the number of integers.
So the list of all possible answers are r5, r10, and r15 where N⊆Z.
For example I choose r=3 and r15, 3(15)= 45. I can use the number 45 as a counter argument that the statement of A⊆B is false.
Solving for the area.
Area
1/2(sum of parallel sides)height1/2(50+65)(30)1/2(115)(30)15(115)1150+5751725ft²Answer:
1725 ft²
Step-by-step explanation:
The formula to find the area of a trapezoid is :
Area = [tex]\frac{1}{2}[/tex] × ( sum of the parallel sides ) × height
Let us solve it now.
Area = [tex]\frac{1}{2}[/tex] × ( sum of the parallel sides ) × height
Area = [tex]\frac{1}{2}[/tex] × ( 65 + 50 ) × 30
Area = [tex]\frac{1}{2}[/tex] × ( 115 ) × 30
Area = [tex]\frac{1}{2}[/tex] × 3450
Area = 1725 ft²
What is the difference of the fractions below? 10x/3-2x/3 2x 13 3 A. 8 B. 8x C. 8x/3 D. 8/3x
The difference of the fractions is 8x/3. Option C is correct.
Given the fraction is 10x/3-2x/3.
When subtracting fractions with the same denominator, just subtract the numerators of the fractions. To find the difference between equal fractions, we subtract the smaller numerator from the larger numerator.
The given expression is 10x/3-2x/3.
Here the denominator in both the fractions are same so, we will take the LCM, we get
10x/3-2x/3=(10x-2x)/3
Now, we will simplify the numerator by subtracting the smaller term from larger, we get
10x/3-2x/3=8x/3
Hence, the difference of the fractions 10x/3-2x/3 is 8x/3 and the correct option is C.
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Find the missing length indicated. need help
The missing length of given right triangle is equal to 25.
RIGHT TRIANGLE
A triangle is classified as a right triangle when it presents one of your angles equal to 90º. The greatest side of a right triangle is called hypotenuse. And, the other two sides are called cathetus or legs.
The math tools applied for finding angles or sides in a right triangle are the trigonometric ratios or the Pythagorean Theorem.
The Pythagorean Theorem says: (hypotenuse)²=(leg1)²+(leg2)² . And the main trigonometric ratios are: sin (x), cos (x) and tan (x) , where:
[tex]sin(x)=\frac{opposite\ leg}{hypotenuse} \\ \\ cos(x)=\frac{adjacent\ leg}{hypotenuse} \\ \\ tan(x)=\frac{opposite\ leg}{adjacent\ leg}[/tex]
There is another important property, where h²=m*n. See the attached image.
From the previous informations presented, you can solve the given question.
From Pythagorean Theorem you can find h (heigth). Thus,
15²=9²+h²
h²=225-81
h²=144
h=12
If h=12 and m=9, from h²=m*n you can find n.
h²=m*n
12²=9*n
144=9n
n=144/9
n=16
Therefore, x= m+ n= 9+16=25.
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what’s 5x times 2-7 min
Answer:33
Step-by-step explanation: The expressions have equivalent values when x + 6
The expressions have equivalent values for any value of x.
When x=10 , both expressions have a value of 33.
Find the vertex of the function h(x) = x2 – 4x – 21
Answer: (2, -25)
Step-by-step explanation:
The x coordinate of the vertex is [tex]x=-\frac{-4}{2(1)}=2[/tex].
When x=2, [tex]h(2)=2^2 - 4(2)-21=-25[/tex].
So, the vertex is (2, -25).
Given the functions a(x) = 3x - 12 and b(x) = x-9, solve a[b(x)].
Oa[b(x)] = 3x²-21
O a[b(x)] = 3x² - 39
Oa[b(x)] = 3x - 21
Oa[b(x)] = 3x - 39
Answer:
Step-by-step explanation:
hello :
a(x) = 3x - 12 and b(x) = x-9, so
a[b(x)]=a(x-9) =3(x-9)-12
a[b(x)]=3x-9-12
a[b(x)]=3x+21
Complete the left-hand column of the table below following the steps indicated in the right-hand column to show that "sin a sin b = 1/2[cos(a-b)-cos(a+b)]" is an identity. Use the definitions of sum and difference formulas for cosine.
The equations which completes the left-hand column of the table are;
[tex] \frac{1}{2} \cdot \left(cos(a - b) - cos(a + b) \right)[/tex]
cos(a - b) - cos(a + b) = (cos(a)•cos(b) + sin(a)•sin(b)) - (cos(a)•cos(b) - sin(a)•sin(b))sin(a)•sin(b) = (1/2)•(cos(a - b) - cos(a + b))Which equations and identities complete the left-hand column of the table?The given expression on the right is written as follows;
First row;
[tex] \frac{1}{2} \cdot \left(cos(a - b) - cos(a + b) \right)[/tex]
The definition of the sum and difference of cosine are;
cos(a - b) = cos(a)•cos(b) + sin(a)•sin(b)
cos(a + b) = cos(a)•cos(b) - sin(a)•sin(b)
Therefore;
Second row;
cos(a - b) - cos(a + b) = (cos(a)•cos(b) + sin(a)•sin(b)) - (cos(a)•cos(b) - sin(a)•sin(b))cos(a - b) - cos(a + b) = 2•sin(a)•sin(b)
Which gives;
[tex] sin(a) \cdot sin(b) = \frac{1}{2} \cdot \left(cos(a - b) - cos(a + b) \right)[/tex]
Third row;
sin(a)•sin(b) = (1/2)•(cos(a - b) - cos(a + b))Learn more about trigonometric functions here:
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22. Chris bought a new car for $12,500. He made a $3,000 down payment and financed the rest at an annual interest rate of 14.5% for 36 months (3 years). How much less would his total interest be for the same loan for 24 months (2 years)? A. $1,387.50 B. $1,377.50 C. $1,367.50 D. $1,357.50
Answer:
Step-by-step explanation:
Purchase price (A) : $12,500
Down Payment (B): $3,000
Loan Taken (C = A - B): $9500
D : Interest calculation for $9,500 for 3 years P(1 + rt)
= 9500(1 + (14.5/100) * 3)
= 9500(1 + 0.145 * 3)
= 9500 * 1.435
= $13632.5
E : Interest calculation for $9,500 for 2 years P(1 + rt)
= 9500(1 + (14.5/100) * 2)
= 9500(1 + 0.145 * 2)
= 9500 * 1.29
= $12,255
Difference between D - E
= $13632.5 - $12,255
= $1377.5
Hence the answer is B i.e. $1377.5 less interest for same amount of load for 2 years vs 3 years
Which equation is represented by the graph below?
A y=In x-3
B y=In x-4
C y=e^3 -3
D y=e^3 -4
Answer:
D
Step-by-step explanation:
I assume that for C and D, you meant e^x.
Since the function is defined at 0, eliminate A and B (since ln 0 is undefined)
Between C and D, we know that when x=0, e^x = 1. Since the y intercept of the graph is -3, this means the equation is y = e^x - 4.
Select all the correct answers.
Exponential function fis represented by the table.
2
X
0
0
-12
B
-4
Function gis represented by the equation.
9 (2) = -12 (3)
Which statements are true about the two functions?
0
3
2
4
3
Both functions are increasing on all intervals of x.
Both functions approach the same value as x approaches ...
The functions have the same x-intercept.
Both functions approach - as x approaches -...
The functions have the same y-intercept.
The true statements are
(d) they have the same y-intercept(e) they approach negative infinity as x approaches negative infinityHow to determine true statements?The function g(x) is given as:
[tex]g(x) = -12(\frac 13)^x[/tex]
Set x = 0, to determine the y-intercept
[tex]g(0) = -12(\frac 13)^0[/tex]
g(0) = -12
From the table, we y-intercept of f(x) is
f(0) = -12
This means that they have the same y-intercept
Because the functions have negative initial values, they would approach negative infinity as x approaches negative infinity
Hence, the true statements are (d) and (e)
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a coffee shop, the first 100 customers' orders were as follows. Small Medium Large Hot 5 48 22 Cold 8 12 5 What is the probability that a customer ordered a large given that he or she ordered a cold drink? Rounded to the nearest percent, [? ]% Enter
Using it's concept, there is a 20% probability that a customer ordered a large given that he or she ordered a cold drink.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, 8 + 12 + 5 = 25 people ordered a cold drink, and of them, 5 were large, hence the probability is:
p = 5/25 = 0.2 = 20%.
20% probability that a customer ordered a large given that he or she ordered a cold drink.
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1/2x + 1/4y = 3 solve for y
Answer:
y=-2x+12
Step-by-step explanation:
First, subtract 1/2 from each side
1/4y = -1/2x + 3 --> multiply each side by 4
y = -2x + 12 is your final answer
A game has an expected value to you of $. It costs $ to play, but if you win, you receive $100,000 (including your $ bet) for a net gain of $. What is the probability of winning? Would you play this game? Discuss the factors that would influence your decision.
The probability of winning this game is 0.003
How to solve for the probability of winningLet us name p to be the probability of winning the game.
We have the expected value to be 100
100 = probability of winning + 1-p x loss
win = 100000 - 200
We then input in the formula
100 = p*99800 +(1-p) x -200
100 = 99800p - 200 + 200p
Collect like terms
100 + 200 = 99800 + 200p
300 = 100000p
Divide through by 100000
This give the
Probability of winning = 0.003
The probability of winning the game is very low hence I would not play.
The factors that would influence the decision are:
The cost of playingThe expected valueComplete questionA game has an expected value to you of ?$100. It costs ?$200 to? play, but if you win you receive? $100,000 (including your ?$200 ?bet), for a net gain of ?$99,800. What is the probability of? winning
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When the absolute value of slope gets bigger the graph of the line gets ???
Jason’s utility and telephone bills for the month totaled $180. The utility bill was 3 times as much as the telephone bill. How much was each bill?
Answer:
telephone was $45, utility was $135
Step-by-step explanation:
Let the telephone bill be x, then the utility bill is 3x
3x+x = 180
4x = 180
x = 45
3x = 135
What is the Pythagorean theorem
Answer:
The Pythagoras theorem states that if a triangle is right-angled (90 degrees), then the square of the hypotenuse is equal to the sum of the squares of the other two sides. Observe the following triangle ABC, in which we have BC2 = AB2 + AC2. Here, AB is the base, AC is the altitude (height), and BC is the hypotenuse. It is to be noted that the hypotenuse is the longest side of a right-angled triangle.
Pythagoras Theorem Equation
The Pythagoras theorem equation is expressed as, c2 = a2 + b2, where 'c' = hypotenuse of the right triangle and 'a' and 'b' are the other two legs. Hence, any triangle with one angle equal to 90 degrees produces a Pythagoras triangle and the Pythagoras equation can be applied in the triangle.
Answer:
The Pythagoras theorem states that:The sum of the squares on the edges of a right triangle angle is equal to the squareon the hypotenuse.Mathematically stated as: a² +b² = c²Hope this helps.Good luck ✅.Graph the solution of the system of linear inequalities.
y + 2x ≥0
3x-2y≤6
Step-by-step explanation:
all the details are in the attachment; the solution are is filled with purple color.