Answer:
3/5 , 7/2 , 3 1/2
Step-by-step explanation:
Step 1 -Two Plus One - Third
2 + \(\frac{1}{3}\)
Make Both Fractions-
\(\frac{2}{1}\) + \(\frac{1}{3}\)
Make Same Denominator ( Bottom # Of Fraction )-
\(\frac{2}{1}\) * \(\frac{3}{3}\) = \(\frac{6}{3}\)
New Equation-
\(\frac{6}{3}\) + \(\frac{1}{3}\)= \(\frac{7}{3}\)
Step 2-Seven - Thirds Divided By Two-Thirds.
\(\frac{7}{3} / \frac{2}{3}\)
Divide In Parts-
7 / 2 = 3.5
Final Answer of '2 and 1/3 divided by 2/3 is 3.5, 7/2, 3 1/2! Don't Forget To Rate Brainiest! -AslinaSolve for y, -2/5 y +2 = -1/5y - 4/3
Given
\(-\frac{2}{5}y+2=-\frac{1}{5}y-\frac{4}{3}\)The objective is to solve for y, that is, isolate the y-term in one side of the expression.
The first step is to pass "-1/5y" to the left side of the expression by applying the inverse operation
\(\begin{gathered} -\frac{2}{5}y+\frac{1}{5}y+2=-\frac{1}{5}y+\frac{1}{5}y-\frac{4}{3} \\ -\frac{1}{5}y+2=-\frac{4}{3} \end{gathered}\)Next pass "+2" to the right side of the expression
\(\begin{gathered} -\frac{1}{5}y+2-2=-\frac{4}{3}-2 \\ -\frac{1}{5}y=-\frac{10}{3} \end{gathered}\)Finally multiply both sides by -5
\(\begin{gathered} (-\frac{1}{5}y)\cdot(-5)=(-\frac{10}{3})-(-5) \\ y=\frac{50}{3} \end{gathered}\)need help with this problem
Answer:
Step-by-step explanation:
Isosceles triangle, so bisecting angle KLM makes two right triangles of base 10/2 = 5 and hypotenuse of 13
13² = 5² + h²
h = 12
Area of the isosceles triangle is twice the area of one right triangle
A = 2(½)bh = bh = 5(12) = 60 in²
HELP a movie theater charges $4 for a drink and $6 for pail of popcorn what is the total charge for d drinks and p popcorns
The total cost for d drinks and p popcorns can be calculated by multiplying the number of drinks by the cost per drink ($4) and adding it to the number of popcorns multiplied by the cost per popcorn ($6), like this:
Total cost = (cost per drink x number of drinks) + (cost per popcorn x number of popcorns)
Total cost = ($4 x d) + ($6 x p)
So the answer would be:
Total cost = $4d + $6p
The total charge for d drinks is 4d, and the total charge for p popcorns is 6p. Therefore, the total charge for d drinks and p popcorns is:
4d + 6p
What is the slope (19,-12) and (5,16)
Answer:
\(\frac{15}{-7}\)
Step-by-step explanation:
In order to find the answer to this question you need to use the slope formula and then solve.
\((19,-12) ,(5,16)\)
\(m = \frac{y^2-y1}{x^2-x^1}\)
\(19=x^1\)
\(-12=y^1\)
\(5=x^2\)
\(16=y^2\)
Substitute the values and solve:
\(\frac{16--12}{5-19} =\frac{30}{-14}\)
Simplify:
\(30\div2=15\)
\(-14\div2=-7\)
\(=\frac{15}{-7}\)
Hope this helps.
Apples cost $2 each, while bananas cost $3 each. Maria purchased 10 fruits in total and spent $22. How many apples did she buy?
how much money deposited now will provide payment of Rs. 15000 at the end of each half year for 10 years, if interest is 16% compounded six-monthly
The interest is 16% compounded semi-annually, is Rs. 121,179.10.
To determine how much money needs to be deposited now to provide a payment of Rs. 15,000 at the end of each half year for 10 years, we will use the formula for the present value of an annuity.
Present value of an annuity = (Payment amount x (1 - (1 + r)^-n))/rWhere:r = interest rate per compounding periodn = number of compounding periodsPayment amount = Rs. 15,000n = 10 x 2 = 20 (since there are 2 half years in a year and the payments are made for 10 years)
So, we have:r = 16%/2 = 8% (since the interest is compounded semi-annually)Payment amount = Rs. 15,000Using the above formula, we can calculate the present value of the annuity as follows:
Present value of annuity = (15000 x (1 - (1 + 0.08)^-20))/0.08 = Rs. 121,179.10Therefore, the amount that needs to be deposited now to provide payment of Rs. 15,000 at the end of each half year for 10 years, if the interest is 16% compounded semi-annually, is Rs. 121,179.10.
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Graham invested some of his $18,000 in bonds that made a 5% profit and the rest in bonds that made a 12% profit. If the 12% bonds made $885 more than the 5% bonds, how much did Graham invest in the 5% bonds?
$7500 is the amount invested in the 5% bonds
How to calculate how much Graham invest in the 5% bond?Let's call the principals (pre-profit amounts) of the 5% profit bonds F and the 12% profit bonds T.
The profit from the 5% bonds would thus be 0.05 * F, and the profit from the 12% bonds 0.12 * T
Then we have two equations, for two unknowns:
0.12 * T = 0.05 * F + 885
T + F = 18000 (as the total amount invested into both those bonds is 18000)
Then T = (0.05 * F + 885) / 0.12 = 5/12 * F + 7375
Subtracting (T+F) from both sides, except on the other side (where the non-variable number is), we're going to subtract (T+F) by subtracting 18000. This will just give us a single equation in terms of one variable (F)
T - (T+F) = (5/12)*F + 7375 - 18000
-F = (5/12)*F - 10625
Let's solve for F by adding F to both sides of the last equation, getting us:
-F + F = 0 = 17/12 * F - 10625
This means 17/12 * F = 10625
F = 12/17 * 10625 = $7500
Hence the amount invested in the 5% bonds (before profit) is $7500
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The cost function for a certain commodity is c(q)=84+0.16q-0.0006q^2+0.00000q^3. Find and interpret c'(100).
The correct answer for the intercept c'(100) is 0.04.
According to the question, the given expression for the cost function in terms of intercept is as written below:
\(c(q)=84+0.16q-0.0006q^{2} +0.00000q^{3}\)
Differentiate the given expression and it can be re-written as:
\(c'(q)=0+0.16-0.0006(2q) +0.00000(3q^{2})\)
Now, substituting the value of the variable 'q' as 100:
\(c'(100)=0+0.16-0.0006(2(100)) +0.00000(3(100)^{2})\\ c'(100)=0.16-0.0006(200) +0.00000(30000)\)
⇒c'(100) = 0.16 - 0.12 =
c'(100) = 0.04
Hence, the correct answer for the intercept c'(100) is 0.04.
What is intercept?
The term intercept can be defined as the point on the y-axis. It is used to calculate the slope of the line. And it is that point from where straight line passes.
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Can u plz help me with 7,8,9
Answer:
7 :ans is 10
8: ans is 25
9: ans is 46
What is greater 1.0275 or 1.029
Answer:
1.029 is greater than 1.0275
Step-by-step explanation:
Answer:
1.029
Step-by-step explanation:
What is greater 1.0275 or 1.029
.027 < .029
So, 1.029 is greater.
whats the lcm for 5678
Answer:
28390
Step-by-step explanation:
If you take 10*5678=28390
Answer:
840.
Step-by-step explanation:
LCM of 5 6 7 and 8,
Write out the prime factors of each number.
5 = 5
6 = 2*3
7 = 7
b = 2*2*2
So the LCM = 2*2*2*3*5*7
= 840.
F
G
H
J
If the diameter of a circle is 16 cm and the
intercepted arc length is 6m, what is the
measure of the central angle in radians?
3
8
3
7T
3
T
3²7
The measure of the central angle is 0.75 radians
How to solve an equation?An equation is an expression that can be used to show the relationship between two or more numbers and variables using mathematical operators.
The area of a figure is the amount of space it occupies in its two dimensional state.
The length of an arc with an angle of Ф is given by:
Length of arc = (Ф/360) * (π * diameter)
The diameter is 16 cm and intercepted arc length is 6 cm, hence:
Length of arc = (Ф/360) * (π * diameter)
6 = (Ф/360) * (π * 16)
Ф = 42.97°
Ф = 42.97° * π/180 = 0.75 radian
The measure of the central angle is 0.75 radians
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What does x equal in the picture below?
All of the outside angles added together are 360 so it would be 7x+49+6x+33+83=360
13x+165=360
13x=195
x=15
A 1 : 6
B 1 : 3
C 2:1
D 3:1
Answer:
B)1:3
plz mark as brainliest
The 10 passengers on a small airplane have paid a total of $1,580 for the flight.
If an economy ticket cost $135 and a first-class ticket costs $250 , how many economy tickets were bought?
Answer:
8 people bought economy and 2 bought first class
Step-by-step explanation:
there are 10 person and total is 1580 so 250+ 9(135)=1460 which is wrong so we gonna try adding 2(250) and 8(135) which got us 1580
How do you turn 8x-4y=20 into slope intercept form?
Please show me the steps
Answer:
\(y = 2x - 5\)
Step-by-step explanation:
\(y = mx + b\)
We need to leave y-term as the subject of equation.
\( - 4y = 20 - 8x\)
Move 8x to subtract.
\(y = \frac{20 - 8x}{ - 4} \)
Pull the negative out of 4.
\(y = - \frac{20 + 8x}{4} \)
Simplify
\(y = - \frac{20}{4} + \frac{8x}{4} \\ y = - 5 + 2x\)
Swap x-term and constant.
\(y = 2x - 5\)
Caleb has filled his 20” x 12” x 9” fish tank 2/3 full before adding his fish. How many cubic inches of water was used to fill the tank?
Answer:
1,440
Step-by-step explanation:
So you find the volume (length times width times height) which would be 2,160 then you multiply by 2/3 which will get you to the amount of water they use to fill the tank which is 1,440 cubic inches. I hope this helps! :)
How much bigger is 5 x 10^4 than 4 x 10^4
Answer:its 10,00 more than it so one
Step-by-step explanation:
10^4=10,000
10,000x4=40,000
10000x5=50,000
Answer:
1 × 10^4
Step-by-step explanation:
5 × 10 ^ 4 = 5 × 10000
= 50,000
4 × 10 ^ 4 = 4 × 10000
= 40,000
Therefore; 50,000 - 40,000
= 10,000 or 1 × 10 ^ 4
Hence 5 × 10^4 is bigger than 4 ×10^4 by
1 × 10^4
Find the value of each trigonometric ratio.
Answer:
sinA = 7/25
tanX = 35/12
Step-by-step explanation:
Trigonometric ratio for:
sinA = perpendicular/hypotenuse = 14/50 = 7/25
tanX = perpendicular/base = 35/12
A line with a slope of 1 passes through the point (5, 3). What is its equation in slope "-intercept" form?
Answer: y=x−2 y = x − 2
Step-by-step explanation:
An 8-sided number cube is rolled 4000 times. The number 2 appeared 200 times. Determine the theoretical and experimental probability of rolling a 2 in order to determine the fairness of the number cube. Drag values or words to the boxes to correctly complete the statements.
Theoretical Probability of rolling a 2= 1/20
Experimental Probability of rolling a 2 = 1/20
Theoretical probability of rolling a 2:
The theoretical probability of an event is the ratio of the number of favourable outcomes to the total number of possible outcomes. Since there are 8 sides to the cube, the total number of possible outcomes is 8. Since the number 2 appeared 200 times out of 4000 rolls, the number of favorable outcomes is 200. Therefore, the theoretical probability of rolling a 2 is:
Theoretical Probability of rolling a 2 = Number of favourable outcomes / Total number of possible outcomes = 200/4000 = 1/20
Experimental probability of rolling a 2:
The experimental probability of an event is the ratio of the number of times the event occurred to the total number of trials. In this case, the event is rolling a 2, which occurred 200 times out of 4000 rolls.
Therefore, the experimental probability of rolling a 2 is:
Experimental Probability of rolling a 2 = Number of times the event occurred / Total number of trials = 200/4000 = 1/20
Comparing theoretical and experimental probability:
If the cube is fair, we would expect the theoretical probability and the experimental probability to be similar. In this case, both probabilities are 1/20, which means that the cube appears to be fair. However, we would need to conduct more trials to be more confident in our conclusion.
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PLEASE ACCOMIDATE I WILL GIVE 5 STAR IF AWNSER
A six-sided composite figure. A vertical line on the left is labeled 4 meters. The base is labeled 9 meters. There is a small portion from the vertical line that is parallel to the base that is labeled 3 meters. This portion leads to two segments that come to a point, and from that point, there is a height of 3 meters labeled.
What is the total area of the figure?
75 m2
63 m2
61.5 m2
45 m2
Based on the description, the total area of the figure would be 45 square meters.
How to find the total area of the figure?To find the total area of the figure, we need to divide it into two triangles and one rectangle.
The rectangle has a base of 9 meters and a height of 4 meters, so its area is 9 x 4 = 36 square meters.
The two triangles each have a base of 3 meters and a height of 3 meters, so each triangle has an area of 1/2 x 3 x 3 = 4.5 square meters.
Therefore, the total area of the figure is the sum of the area of the rectangle and the two triangles:
36 + 4.5 + 4.5 = 45 square meters
So the answer is 45 m2.
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There were 239 people at a Travis Scott concert. Admission to the drive-in concert was $15 for adults and $5.50 for children. The total cost was $2758.50.
Answer:
{x + y= 239
{15x + 5.50y = 2758.50
Step-by-step explanation:
x = adults y = children and the total amount of people is 239.
$15 for adults and $5.50 for children and the total cost equals $2758.50.
Anita checks the temperature at noon and sees that it is 3 ˚F. Her brother notes that this is a change of 8 ˚F from the temperature at 9 a.m. Anita knows that this means there are two possibilities for the temperature at 9 a.m.
Answer:
At 9 a.m., the temperature was 11 ˚F or -5 ˚F.
Step-by-step explanation:
Temperature at noon: 3 ˚F
Temperature at 9 a.m.: 8 ˚F higher or lower than 3 ˚F
Temperature at 9 a.m.:
3 ˚F + 8 ˚F = 11 ˚F
or
3 ˚F - 8 ˚F = -5 ˚F
Answer: At 9 a.m., the temperature was 11 ˚F or -5 ˚F.
The function f(x)=4^x-6 is transformed to function G through a vertical compression by a factor of 1/2. Complete the equation of function G .  enter the correct answer in the box. Substitute  numerical values into the equation for a and k.
g(x) = a(4)^x-k
The equation for the transformed function g(x) is: g(x) = 2.323 (4) raise to the power x-0.872/2
How to solve a function?
If the function f(x) is vertically compressed by a factor of 1/2, the equation for the new function g(x) is given by:
g(x) = a(4) raise to the power x-k/2
where "a" and "k" are constants that need to be determined. To find these constants, we can use the fact that the original function f(x) is equal to g(x) when the compression is applied:
f(x) = g(x)/2
Substituting the expression for g(x) into this equation and simplifying, we get:
4raise to the power x - 6 = a(4)raise to the power x-k/2
To solve for "a" and "k", we need to find two equations involving these variables. One way to do this is to evaluate the expression for f(x) at two different values of x, and then set those equal to the corresponding values of g(x)/2. For example, we can choose x = 0 and x = 1:
f(0) = 4 - 6 = -5
f(1) = 4- 6 = -2
Using the equation g(x)/2 = f(x), we can write:
g(0)/2 = -5
g(1)/2 = -2
Substituting the expression for g(x) into these equations, we get:
a(4) raise to the power -k/2 = -10
a(4) raise to the power 1-k/2 = -4
Taking the ratio of these two equations, we can eliminate the variable "a" and solve for "k":
(4)raise to the power -k/2 / (4) raise to the power 1-k/2 = -10 / -4
Simplifying this equation, we get:
4.raise to the power(1-k/2) = 5
Taking the logarithm of both sides (with base 4), we get:
1-k/2 = log4(5)
Solving for "k", we get:
k = 2 - 2 log4(5)
Substituting this value of "k" back into one of the equations we derived earlier, we can solve for "a":
a = -10 / (4) raise to the power -k/2
Substituting the numerical value of "k", we get:
k = 2 - 2 log4(5) ≈ 0.872
a = -10 / (4) raise ti the power -k/2 ≈ 2.323
Therefore, the equation for the transformed function g(x) is:
g(x) = 2.323 (4)raise to the power x-0.872/2
or equivalently:
g(x) = 1.1615 (4) raise to the power -x0.872
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Answer:
g(x) = 1/2 (4)^x - 3
Step-by-step explanation:
A vertical compression by a factor of 1/2
means that the entire function f is multiplied by 1/2:
1/2 f (x) = 1/2 (4^x - 6)
= 1/2 (4)^x - 3
Heyy can someone help me ¿? ;-; is for today ;-;
Zuleima puts her pebbles on the table. Make groups of 3 and have 1 left. Then make groups of 5 and have 2 left. How many stones does Zuleima have?
Step-by-step explanation:
she has 3 because she make group of five n have one and then make a group of five and had two, so add two plus one it will give u three
If bolt thread length is normally distributed, what is the probability that the thread length of a randomly selected bolt is farther than 2. 5 standard deviations from its mean value.
The probability that the thread length of a randomly selected bolt is farther than 2. 5 standard deviations from its mean value is 0.62%.
If the thread length of bolts is normally distributed, then we can use the concept of probability to determine the probability that the thread length of a randomly selected bolt is farther than 2.5 standard deviations from its mean value.
This can be calculated using the area under the normal curve.
Specifically, the area to the right of 2.5 standard deviations is 0.0062, meaning that there is only a 0.0062 probability (or 0.62%) that the thread length of a randomly selected bolt is farther than 2.5 standard deviations from its mean value
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Find the area of the shape shown below.
Answer:
31.5
Step-by-step explanation:
Rectangle 1 :
b*h = 21
Triangle :
a= 1/2 b*h
3*7= 21 /2=10.5
Add both 10.5 + 21 =
31.5
Explain how adding and subtracting decimals is similar to adding and subtracting whole
numbers. Explain how they are different.
Subtracting decimals, just like adding decimals, is similar to subtracting whole numbers. Just like adding decimals, the only difference is that we line up according to the decimal point instead of the last digit
How to illustrate tye decimal?One type of number that has a whole number and a fractional component separated by a decimal point is a decimal. The decimal point is the dot that appears between the parts of a whole number and a fraction. An example of a decimal number is 34.5.
Comparable to subtracting whole numbers is the operation of adding and subtracting decimals. The only difference between adding decimals and doing so is that we line up according to the decimal point rather than the last digit.
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What is g(x)?
A. g(x) = -2
B. g(x) = -11
C. g(x) = -x
D. g(x) = -x
WILL MARK BRAINIEST!!
Step-by-step explanation:
g(x) = -X^2
which isn't an option.