Answer:
6 * 4/15
Well you have this and we can make it multiply like
6/1 * 4/15
So you just multiply normally, with the same for numerator and denonminator
So 6*4=24
1*15=15
So 24/15
24/15 is 1 9/15 in mixed
1 9/15 can be simplified so
1 3/5
So 1 3/5 is the simplest form
\(\large\underline{\sf{Solution-}}\)
\( \sf \: 6 \: of \frac{4}{15} \\ \)
\( \sf \: = 6 \times \frac{4}{15} \\ \)
\(\sf \: = \frac{6 \times 4}{15} \\ \)
\(\sf \: = \frac{24}{15} \\ \)
\(\sf \: = \frac{24 \div 3}{15 \div 3} \\ \)
\(\sf \: = \frac{8}{5} =1\frac{3}{5} \approx 1.6 \\ \)
pls i need someone to help w the answer
The measure of the third angle in the Given Triangle JKL is 18° .
In the question ,
it is given that ,
the measure of angle J is = 72° ,
the triangle is right angled at K ,
So , the measure of angle K is = 90° ,
we have to find the measure of the angle L ,
So , By applying Angle Sum Property Of Triangle ,
We get ,
72° + 90° + ∠L = 180°
162° + ∠L = 180°
Subtracting 162° from both sides of the equation ,
∠L = 180° - 162°
Simplifying further , we get
∠L = 18°
Therefore , The measure of the third angle in the Given Triangle JKL is 18° .
The given question is incomplete , the complete question is
Find the measure of the third angle( angle L ) in the given Triangle JKL .
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find the equation of the axis of symmetry for this function. f(x)=-2x^2-3x+6
PLEASE HELP
The equation of the axis of symmetry of the quadratic function f(x) = -2x^2 - 3x + 6 is x = -b/2a, where a and b are coefficients of the quadratic function.
A quadratic function is a function of form f(x) = ax^2 + bx + c, where a, b, and c are constants. The graph of a quadratic function is a parabola, which is symmetric about a vertical line called the axis of symmetry.
To find the axis of symmetry for the given quadratic function f(x) = -2x^2 - 3x + 6, we first identify the coefficients a and b. In this case, a = -2 and b = -3.
Then we use the formula x = -b/2a to find the x-coordinate of the vertex, which is the point on the axis of symmetry. Plugging in the values of a and b, we get:
x = -(-3)/(2*(-2)) = 3/4
Therefore, the equation of the axis of symmetry is x = 3/4.
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i need help with this ASAP PLZ SHOW THE EQUATION WITH IT PLZ
The scale of a map is 1: 250 000. On the map a large forest has an area of 6 cm2.
Calculate the actual area of the forest. Give your answer in square kilometres.
Answer:
37.5 km2 ...............
Please answer with the work shown
The perimeter first figure that is made of a square and equilateral triangle is 52 cm.
What exactly are squares?
A square is a two-dimensional planar shape with four equal sides and four 90-degree angles. The features of a rectangle are similar to those of a square, but the distinction is that a rectangle has just its opposing sides equal.
A square's most significant qualities are
The four inner angles are 90 degrees.The four sides of the square are congruent, or equal.The square's opposing sides are parallel.The diagonals of the square intersect at 90°.The square's two diagonals are equal to each other.The diagonal of a square is divided into two isosceles triangles.
Square area=(side)²
Square perimeter=4*side
Now,
For first figure given that
sides of square are 14 cm in length
and length of side of equilateral triangle are=5 cm
but for finding perimeter of the figure only 3 sides of square and 2 sides of triangle are needed.
So, perimeter=3*14+2*5
=42+10
=52 cm
hence,
The perimeter first figure 52 cm.
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Rory is at the local mall and her favorite type of jeggings are on sale. The jeggings are now
priced at $7 per pair, tax free. She has $27 with her, but she needs to have $6 leftover to
spend on a movie theater ticket.
Which inequality represents how many pairs of jeggings Rory can buy, where / represents
the number of jeggings?
Answer:
j ≤ 3
Step-by-step explanation:
Since she has $27 with her and needs a balance if $6, the amount of money she can spend on buying the jeggings will be $27-$6 = $21
This means that she has $21 to spend on buying the jeggins
From the question, one jeggings cost $7, so the maximum number of jeggings she can buy is 21/7 = 3
So the inequality that represents this will be;
j ≤ 3
This is because she can decide to buy less than 3, but never can she buy more than 3 because of her budgetary constraints
Factor each polynomial.
3 m²-9
On factorizing the polynomial 3m²-9 we get 3(m²-3).
The factor of polynomial is defined as the process of expressing the polynomial as a product of two or more polynomials.
For Example : the factors of x²-16 are (x+4)(x-4).
In the given question we need to factor
3m²-9
here 9 can be written as 3*3
rewriting the above equation we get
3m²-3*3
As both the terms contain 3 we can take 3 common from both the terms ;
taking 3 common from each term we get ,
=3(m²-3)
Therefore , On factorizing 3m²-9 we get 3(m²-3) .
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Please help me ASAP!!!
Answer:
the third one (2,-18)
Step-by-step explanation:
How many significant figures are there in 0.3070 g ? 5 2 3 4 6
In the number 0.3070 g, there are four significant figures.
To determine the significant figures, we follow these rules:
1. Non-zero digits are always significant. In this case, there are three non-zero digits: 3, 0, and 7.
2. Any zeros between non-zero digits are significant. Here, the zero between 3 and 7 is significant.
3. Leading zeros (zeros before the first non-zero digit) are not significant. In this case, the leading zero before 3 is not significant.
4. Trailing zeros (zeros after the last non-zero digit) that appear after a decimal point are significant. In this case, the trailing zero after 7 is significant because it appears after the decimal point.
Therefore, the number 0.3070 g has four significant figures: 3, 0, 7, and the trailing zero after 7.
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Construct a confidence interval for p1-p2 at the given level of confidence.
x1=30, n1=235, x2=39, n2=294, 90 % confidence
Using the z-distribution, the 90% confidence interval for the difference of proportions is given by: (-0.0534, 0.0434).
What is the mean and the standard error for the distribution of differences?For each sample, the mean and the standard error are given as follows:
\(p_1 = \frac{30}{235} = 0.1277, s_1 = \sqrt{\frac{0.1277(0.8723)}{235}} = 0.0218\).\(p_2 = \frac{39}{294} = 0.1327, s_1 = \sqrt{\frac{0.1327(0.8673)}{294}} = 0.0198\).For the distribution of differences, they are given by:
\(\overline{p} = p_1 - p_2 = 0.1277 - 0.1327 = -0.005\).\(s = \sqrt{s_1^2 + s_2^2} = \sqrt{0.0218^2 + 0.0198^2} = 0.0294\)What is the confidence interval?The interval is given by:
\(\overline{p} \pm zs\)
In this problem, we have a 90% confidence level, hence\(\alpha = 0.9\), z is the value of Z that has a p-value of \(\frac{1+0.9}{2} = 0.95\), so the critical value is z = 1.645.
Hence the bounds of the interval are:
\(\overline{p} - zs = -0.005 - 1.645(0.0294) = -0.0534\)
\(\overline{p} + zs = -0.005 + 1.645(0.0294) = 0.0434\)
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ALGEBRA Evaluate the expression when X-
2 and = is - 1/5
Answer:
x=9/5
Step-by-step explanation:
x-2=-1/5
x=9/5
State whether the following statement is true or false. The Law of Sines can be used to solve triangles where three sides are known Choose the correct answer below. A. False, because to use the Law of Sines, all three angles must be known B. True, because to use the Law of Sines, all three sides must be known. C. True, because to use the Law of Sines, at least two sides must be known D. False, because to use the Law of Sines, two angles and one side or two sides and one angle must be known.
C. True, because to use the Law of Sines, at least two sides must be known.
The Law of Sines is a trigonometric rule that relates the sides and angles of any triangle. It states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all three sides of the triangle.
To use the Law of Sines, at least two sides and the angle opposite one of them (or two angles and one side) must be known.
Therefore, the statement "The Law of Sines can be used to solve triangles where three sides are known" is false, as it is not necessary to use the Law of Sines to solve a triangle where all three sides are known.
In summary, the correct answer is C. True, because to use the Law of Sines, at least two sides must be known.
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You were charged interest of $6.31 for Purchases (near section 8). Why?
Answer:
B
Step-by-step explanation:
You had a balance of $535.07 from the previous month and only paid $450.00 so you didn’t pay off your balance in full.
The graph of f(x) and g(x) are shown below. How many solutions does the system of equations have?
Click pic to see whole problem
Answer:
Step-by-step explanation:
Solving systems of equations gives the points of intersection when the equations are graphed.
The answer is 3.
Jai drove 225 miles in 5 hours. On average, how fast did he drive, in miles per hour?
What are the factors of the terms
6a + 1 lb
a=6–1b
a=5 ans
b=a/1
b=5/1
b=5ans
Tara is buying a new car. She can get a truck, a convertible, a van, a station wagon, or a hatchback. The outside paint comes in purple, red, blue, or black. The seats can be covered with black vinyl, gray fabric, white leather, blue fabric, or brown leather. Given these choices, how many different combinations does Tara have to choose from? All I know is that there's 5 vehicles, 4 outside colors and 5 seat colors.
Answer:
Tara has 100 combinations to choose from
Step-by-step explanation:
each car has four colours
there are five cars so
5 × 4 = 20
there are 5 seats colors for each car so
20 × 5 = 100
Hope you understand it , I'm bad at English because I'm asian
Gravel is being dumped from a conveyor belt at a rate of 50 cubic feet per minute. it forms a pile in the shape of a right circular cone whose base diameter and height are always equal. how fast is the height of the pile increasing when the pile is 20 feet high?
The height of the pile is increasing at a rate of approximately 0.397 feet per minute when the pile is 20 feet high.
To solve this problem, we need to use related rates. Let's start by drawing a diagram:
```
/\
/ \
/ \
/ \
/ \
/__________\
```
We know that the rate at which gravel is being dumped is 50 cubic feet per minute, so the volume of the pile is increasing at a rate of 50 cubic feet per minute. We also know that the base diameter and height of the cone are always equal, so we can call them both "r".
Let's use the formula for the volume of a cone to relate the rate of change of the volume to the rate of change of the height:
V = (1/3)πr^2h
Taking the derivative with respect to time t, we get:
dV/dt = (1/3)π(2rh)(dh/dt) + (1/3)πr^2(dh/dt)
Simplifying and plugging in the values we know:
50 = (1/3)π(2r*20)(dh/dt) + (1/3)πr^2(dh/dt)
Simplifying further:
50 = (2/3)πr^2(dh/dt)
dh/dt = 50/[(2/3)πr^2]
We still need to find the value of "r" in order to calculate the final answer. We know that the base diameter and height are equal, so the radius is half of the base diameter, which is also equal to the height. Therefore, when the pile is 20 feet high, the radius is also 20 feet.
Plugging in the values:
dh/dt = 50/[(2/3)π(20^2)]
dh/dt ≈ 0.397 feet per minute
Therefore, the height of the pile is increasing at a rate of approximately 0.397 feet per minute when the pile is 20 feet high.
Gravel is being dumped from a conveyor belt at a rate of 50 cubic feet per minute, forming a right circular cone with equal base diameter and height. When the pile is 20 feet high, let's find out how fast the height is increasing.
Since the base diameter and height are always equal, the radius of the cone base (r) is half the height (h). Therefore, r = h/2. The volume (V) of a cone is given by the formula V = (1/3)πr^2h.
Substitute r with h/2: V = (1/3)π(h/2)^2h.
Now differentiate both sides with respect to time (t) to find dV/dt and dh/dt (rate of height increase):
dV/dt = (1/3)π (h^3/4) dh/dt.
We know dV/dt is 50 cubic feet per minute, and we want to find dh/dt when h = 20 feet:
50 = (1/3)π (20^3/4) dh/dt.
Now, solve for dh/dt:
dh/dt = 50 / [(1/3)π(20^3/4)].
dh/dt ≈ 0.424 ft/min.
So, the height of the pile is increasing at approximately 0.424 feet per minute when the pile is 20 feet high.
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Can someone Help me solve this please
Answer:
12
Step-by-step explanation:
The expression 3c + 24 represents the amount of cookies you sell and the expression 5c represents the amount of cookies your sister sells. If we want to find when they become equal, we must set them equal to each other:
3c + 24 = 5c
24 = 2c
12 = c
Therefore, the answer is 12.
3 Years Ago, You Have Started An Annuity Of 200 Per Months. How Much Money You Will Have In 3 Years If The Interest On The Account Is 3% Compounded Monthly? $15.755.8 B $16,863.23 $17,636.45
The future value of the annuity is approximately $17,636.45.
An annuity is a series of equal payments made at regular intervals. In this case, you started an annuity of $200 per month. The interest on the account is 3% compounded monthly.
To calculate the amount of money you will have in 3 years, we can use the formula for the future value of an annuity. The formula is:
FV = P * [(1 + r)^n - 1] / r
Where:
FV is the future value of the annuity
P is the monthly payment ($200)
r is the interest rate per period (3% per month, or 0.03)
n is the number of periods (3 years, or 36 months)
Plugging in the values into the formula, we have:
FV = 200 * [(1 + 0.03)^36 - 1] / 0.03
Calculating this expression, we find that the future value of the annuity is approximately $17,636.45.
Therefore, the correct answer is $17,636.45.
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a local food company produces yogurt in 3/4 tab cups 2 cups= 1 pint 2 pints= 1 quart 4 quarts= 1 gallon 8 fl oz= 1 cup The tubs of yogurt are sold for 75¢ each. Twenty percent of this is profit for the food company. How much profit does the company make on each tub? Enter the answer in decimal form.
Answer:
15cents.
Step-by-step explanation:
The cost of yogurt is $0.75
20% of this amount is the profit to the company
Profit = \(\frac{20}{100} * 0.75\)
= $0.15
So the profit to the company is 15cents.
please help! multiple choice! will give brainly
Answer: 3
Step-by-step explanation: cant see other graphs
What are the answers to these?
HELP ME PLS ITS BEEN 20 MINUTES
Answer:
\(\frac{1}{3}\)
Step-by-step explanation:
You can combine the two red shaded areas to get a larger portion with an angle of 120°.
The total degrees in a circle is 360° and since \(\frac{120}{360} =\frac{1}{3}\),
The area of the combined red shaded area is \(\frac{1}{3}\) of the entire area of the circle.
Thus, the probability of choosing the red shaded area is \(\frac{1}{3}\)
at the mp donut hole factory, niraek, theo, and akshaj are coating spherical donut holes in powdered sugar. niraek's donut holes have radius $6$ mm, theo's donut holes have radius $8$ mm, and akshaj's donut holes have radius $10$ mm. all three workers coat the surface of the donut holes at the same rate and start at the same time. assuming that the powdered sugar coating has negligible thickness and is distributed equally on all donut holes, how many donut holes will niraek have covered by the first time all three workers finish their current donut hole at the same time?
Niraek will have covered 400 donut holes by the time all three workers finish their current donut holes at the same time.
The time it takes to coat a donut hole is directly proportional to the surface area of the donut hole.
The surface area of a sphere is given by the formula:
Surface Area = 4πr²
Here, r is the radius of the sphere.
Comparing the surface areas of the donut holes:
Niraek's donut hole: Surface Area = 4π(6²)
Theo's donut hole: Surface Area = 4π(8²)
Akshaj's donut hole: Surface Area = 4π(10²)
Now, let's find the LCM of the surface areas to determine the time it takes for all workers to finish:
LCM(144π, 256π, 400π) = 57600π mm²
This means that it will take the same amount of time for all three workers to finish their current donut holes when they have covered a total surface area of 57600π mm².
Number of donut holes = (Total surface area) / (Surface area of Niraek's donut hole)
= (57600π mm²) / (144π mm²)
= 57600 / 144
= 400
Therefore, Niraek will have covered 400 donut holes by the time all three workers finish their current donut holes at the same time.
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Write an equation for the following math sentence.
One half times the difference of twenty and a variable is two thirds
one half times the quantity y minus 20 equals two thirds
one half times the quantity 20 minus y equals two thirds
one half times y minus 20 equals two thirds
one half times 20 minus y equals two thirds
Answer:
One half times the difference of twenty and a variable is two thirds
one half times the quantity y minus 20 equals two thirds
one half times the quantity 20 minus y equals two thirds
one half times y minus 20 equals two thirds
one half times 20 minus y equals two thirds
0.5(20 - y) = 2/3
One half times the difference of twenty and a variable is two thirds :
1/2(20 - y) = 2/3
[this one im not too sure, please confirm it cause i don't think it is clear enough]
One half times the quantity y minus 20 equals two thirds :
1/2(y - 20) = 2/3
One half times the quantity 20 minus y equals two thirds :
1/2(20 - y) = 2/3
One half times y minus 20 equals two thirds :
1/2 x y - 20 = 2/3
One half times 20 minus y equals two thirds :
1/2 x 20 - y = 2/3
C is the point two squares directly to the left of the midpoint of AB. b) Mark the point C with a cross.
Check the picture below.
PLEASE PLEASE PLEASE HELP ASAP *grade 9 work* best answer gets brainliest :)
the circumference of a circle, c c, is increasing at a rate of 2 cm/s 2cm/s. find how fast the area is increasing when r
With the help of application of derivatives we can solve our question.
What is application of derivatives?
Derivatives are often used in mathematics.
They can be used to determine a function's maximum or minimum, the slope of a curve, or even the inflection point.
Below are a few instances where we will use the derivative. And the following sections go into great detail about each of them. The application of derivatives is most frequently found in:
Finding a Quantity's Rate of Change, Finding the Approximation Value, Tangent and Normal Equation to Curve Equation, Finding the Approximation Value,
Identifying the Point of Inflection, the Maxima and Minima, and the Increasing and Decreasing Functions
According to our question-
As c=2πr, it's given that dc/dt=2πdr/dt=2. (given).
A=πr2 so dA/dt=2πrdr/dt by the chain rule.
dc/dt=2πdr/dt where we are given dc/dt=2cm/s.
Area as a function of the radius is a(r)=πr2, and, again, taking derivatives we write da/dt=π(2rdrdt).
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.
No links
13 points for this,
Will receive brainliest!
Answer:
median is the middle number
mean is the numbers added up and divide by how many numbers there are
range is biggest take smallest
Mode is the most common so if you only have 1 number 1 and 2 number 2s then 2 is the mode
Step-by-step explanation: