Answer:
We can use the proportion method to solve this problem.
Let's define the rate of dough preparation as the amount of dough Lia can prepare per hour. We can write:
rate = amount of dough / time
We are given that Lia prepared 35 kg of dough in 7 hours. We can use this information to find her rate of dough preparation:
rate = 35 kg / 7 hours = 5 kg/hour
Now we can use this rate to find how much dough Lia will prepare if she works for 9 hours:
amount of dough = rate x time
amount of dough = 5 kg/hour x 9 hours = 45 kg
Therefore, if Lia works for 9 hours, she will prepare 45 kilograms of dough.
Help if possible, thanks.
Answer:
1,2,3,6 are congruent
Step-by-step explanation:
A bank account gathers compound interest at a rate of 5% each year.
Another bank account gathers the same amount of money in interest by the end of each year, but gathers compound interest each month.
If Haleema puts £3700 into the account which gathers interest each month, how much money would be in her account after 2 years and 11 months?
Give your answer in pounds to the nearest 1 p.
Haleema would have approximately £3947.46 in her account after 2 years and 11 months, considering the monthly compounding interest of 5%.
To calculate the amount of money in Haleema's account after 2 years and 11 months, we need to consider the monthly compounding interest on the account.
The interest rate is given as 5% per year, which means the monthly interest rate is (5%/12) = 0.4167%.
Let's calculate the final amount using the compound interest formula: A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount, r is the interest rate, n is the number of times interest is compounded per year, and t is the number of years.
In this case, P = £3700, r = 0.004167, n = 12 (monthly compounding), and t = 2.917 (2 years and 11 months).
Plugging these values into the formula, we get:
A = £3700(1 + 0.004167/12)^(12*2.917)
A ≈ £3947.46
The amount of money in Haleema's account after 2 years and 11 months would be approximately £3947.46.
For more questions on compound interest
https://brainly.com/question/28020457
#SPJ8
The area of the Pacific Ocean is more than 60 million square miles.
What is that in scientific notation?
6x 10^-7
6x10^7
60 x 10^-6
60x10^6
Answer:
60x10^6
Step-by-step explanation:
In the figure shown, &, //&₂. If m26=146°, what is the measure of 21 in degrees?
Answer:
angle 1 = 34 degrees
Step-by-step explanation:
Angle 2 and angle 6 are corresponding, therefore they are congruent and have a measure of 146 degrees.
angle 1 and angle 2 form supplementary angles so:
angle 1 = 180-angle 2
angle 1 = 180 - 146
angle 1 = 34 degrees
∫(x^3 - 7 x) ln xdx
∫ (x^2-1) ln xdx
Both integrals can be done by parts.
For the first one:
\(\displaystyle \int (x^3-7x)\ln(x) \,\mathrm dx = uv - \int v\,\mathrm du\)
where
\(u = \ln(x) \implies \mathrm du = \dfrac{\mathrm dx}x \\\\ \mathrm dv = (x^3-7x)\,\mathrm dx \implies v = \dfrac{x^4}4-\dfrac{7x^2}2\)
Then
\(\displaystyle \int (x^3-7x)\ln(x)\,\mathrm dx = \left(\dfrac{x^4}4-\dfrac{7x^2}2\right)\ln(x) - \int\left(\dfrac{x^4}4-\dfrac{7x^2}2\right)\dfrac{\mathrm dx}x \\\\ \int (x^3-7x)\ln(x)\,\mathrm dx = \left(\dfrac{x^4}4-\dfrac{7x^2}2\right)\ln(x) - \int\left(\dfrac{x^3}4-\dfrac{7x}2\right)\,\mathrm dx \\\\ \int (x^3-7x)\ln(x)\,\mathrm dx = \boxed{\left(\dfrac{x^4}4-\dfrac{7x^2}2\right)\ln(x) - \dfrac{x^4}{16} + \dfrac{7x^2}4 + C}\)
You can treat the second one identically, and you would end up with
\(\displaystyle \int(x^2-1)\ln(x)\,\mathrm dx = \left(\frac{x^3}3-x\right)\ln(x) - \int\left(\frac{x^2}3-1\right)\,\mathrm dx \\\\ \int(x^2-1)\ln(x)\,\mathrm dx = \boxed{\left(\frac{x^3}3-x\right)\ln(x) - \frac{x^3}9+\frac{x^2}2} + C}\)
More generally, the antiderivative of a polynomial \(p(x)\) multiplied by \(\ln(x)\) is given by
\(\displaystyle \int p(x)\ln(x)\,\mathrm dx = \ln(x)\int p(x)\,\mathrm dx - \int\frac{\displaystyle \int p(u)\,\mathrm du}x\,\mathrm dx\)
How many servings can be made from 12 cups
Answer:
depands
Step-by-step explanation:
on how much ppl and yea
find the equation of the line through point (4,-7) and parallel to y = -2/3x + 3/2.
Answer:
y = -2/3 x - 13/3
Step-by-step explanation:
y = -2/3 x + 3/2
y = mx + b
m = -2/3
The slope of the given line is -2/3. Parallel lines have equal slopes, so our line also has slope -2/3.
m = -2/3
y = mx + b
y = -2/3 x + b
Substitute the given point for x and y and solve for b.
-7 = -2/3 (4) + b
-21/3 = -8/3 + b
b = -13/3
Answer: y = -2/3 x - 13/3
what is
6 over 9
and
11 over 88
Answer:
6 over 9 = 6/9 11 over 88 = 11/88 6/9 = 0.6667(repeating) 11/88 = 0.125
P.S. Dont fall for those link scams! ;)
Hope this helped! If it did, please give me brainliest! It would help a lot! Thanks! :D
Suppose that the probability distribution below shows the number of colleges that children of celebrities applied to in 2018. Compute the standard deviation for the number of college applications.
x 0 2 4 6
P(x) 0.4 0.3 0.2 0.1
Complete Question
The complete question is shown on the first uploaded image
Answer:
The standard deviation is \(\sigma = 2.45\)
Step-by-step explanation:
From the given data we can compute the expected mean for each random values as follows
\(E(X) = \sum [ X * P(X = x )]\\\\ X \ \ \ \ \ \ X* P(X =x )\\ 0 \ \ \ \ \ \ \ \ \ \ 0* 0.4 = 0 \\ 2 \ \ \ \ \ \ \ \ \ \ 2 * 0.3 = 0.6 \\ 4 \ \ \ \ \ \ \ \ \ \ 4 * 0.2 = 0.8\\ 6 \ \ \ \ \ \ \ \ \ \ 6* 0.1 = 0.6\)
So
\(E(x) = 0 + 0.6 + 0.8 + 0.6\)
\(E(x) = 2\)
The
\(E(X^2) = \sum [ X^2 * P(X = x )]\\\\ X \ \ \ \ \ \ \ \ \ \ X^2 * P(X=x ) \\ 0 \ \ \ \ \ \ \ \ \ \ 0^2 * 0.4 = 0 \\ 2 \ \ \ \ \ \ \ \ \ \ 2^2 * 0.3 = 12 \\ 4 \ \ \ \ \ \ \ \ \ \ 4^2 * 0.2 = 3.2 \\ 6 \ \ \ \ \ \ \ \ \ \ 6^2 * 0.1 = 3.6\)
So
\(E(X^2) = 0 + 1.2 + 3.2 + 3.6\)
\(E(X^2) = 8\)
Now the variance is mathematically evaluated as
\(Var (X) = E(X^2 ) -[E(X]^2\)
Substituting value
\(Var (X) = 8-4\)
\(Var (X) = 6\)
The standard deviation is mathematically evaluated as
\(\sigma = \sqrt{Var(x)}\)
\(\sigma = \sqrt{4}\)
\(\sigma = 2\)
Plzz help I don’t get it
There are 9,528 people in Tapan's town. Alex's town
has 7,282 people. How many people are in the two
towns together?
Answer:
16810
Step-by-step explanation:
Take population of each town and add them together
9,528 + 7,282= 16810
Write an equation in point-slope form. Part I: Create an equation of a line in point-slope form. Be sure to identify all parts of the equation before writing the equation. (3 points) Part II: Using the equation of the line you wrote in Part I, write an equation of a line that is perpendicular to this line. Show your work. (3 points)
The line's equation in point-slope form is shown here. Point (2, 5) is the given point on the line, and slope 2 is the given slope of the line. The slope of this line is -1/2, which is the negative reciprocal of the slope.
How do you formulate an equation in point-slope form?A line's point slope form equation is \(y - y_1 = m(x - x_1)\). Consequently, y - 0 = m(x = 0), or y = mx, is the equation of a line passing through the origin with a slope of m.
We require a point on the line and the slope of the line in order to create a line equation in point-slope form. In point-slope form,
\(y - y1 = m(x - x1)\)
As an illustration, suppose we want to formulate the equation of the line passing through the coordinates (2, 5) and having a slope of 2. The values can be entered into the point-slope form as follows:
y - 5 = 2(x - 2)Let's say the given line has the equation \(y - y1 = m(x - x1)\), where (x1, y1) is a point on the line and m is the slope of the line.
we can use the given point (2, 5). Then we can plug in the values into the point-slope form:
\(y - 5 = (-1/2)(x - 2).\)
To know more about point-slope visit:-
brainly.com/question/837699
#SPJ1
What is the slope of
the line?
Reuben made a shirt using 7/8yards of red fabric and 1/4yards of yellow fabric. How many more yards of red fabric did Reuben use?
Answer and Step-by-step explanation:
To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:
7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8
So, Reuben used 5/8 yards more red fabric than yellow fabric.
Which data set has a median of 15?
7, 16, 14, 16, 11, 7, 17
18, 9, 19, 16, 6, 20. 13
9, 17, 13, 15, 16, 8, 12
18, 15, 11, 14, 19, 15, 6
Answer: The last one is the one with the Median
Step-by-step explanation: Hope this helps ^^
Answer:
18,15,11,14,19,15,6 the last one
arrange 12 coins in four rows with four in each row
Answer:
3 coins each row
Step-by-step explanation:
if you put 3 coins in 4 rows it we'll be equivalent to 12
what is the equation of the line in the slope-intercept? write your answer in simplest form.
Answer:
y=-6x
Step-by-step explanation:
Slope intercept form is y=mx+b where b is the y intercept and m is the slope. In this particular example, the y intercept is at (0,0), the origin, so b=0. y=mx+0 or just y=mx. Now, to determine the slope, we must look at the graph. It appears the graph intersects the point (-10, 60) as well as the point (0,0). Other than just calculating it quickly in your head, the way to get slope from that is y1-y2/x1-x2. Setting that up, 60-0/-10-0, which is 60/-10, which is equal to -6. Put that into the equation and you get y=-6x
4 Mr Thapelo employed five more cleaners to make the cleaning work faster. He claims that the additional salary he has to pay on the cleaners are ten times the salary of a messenger. Verify his claim by showing all the necessary calculations whether his claim is valid or not
Answer: Read One Piece and Check Explanation.
Step-by-step explanation: Yes, Mr Thapelo's claim is valid.
Let's assume that the salary of the messenger is $1,000.
Therefore, the salary of the five additional cleaners should be 10 x $1,000 = $10,000.
A certain drug is made from only two ingredients: compound A and compound B. There are 3 milliliters of compound A used for every 5 milliliters of compound
B. If a chemist wants to make 728 milliliters of the drug, how many milliliters of compound A are needed?
? milliliters of compound A
In order to create 728 millilitres of the medication, 273 millilitres of component A are required.
What do you mean by compound?A compound in chemistry is a material comprised of two or more separate chemical elements mixed together in a certain proportion. Chemical connections that are challenging to break are created when the elements interact with one another.
Compound A:Compound B ratio in the medication is 3:5. In other words, there are 3 millilitres of compound A and 5 millilitres of compound B for every 3+5=8 millilitres of the medicine.
We may set up a percentage using the ratio of compound A to the total volume of the medicine to determine how much compound A is required to make 728 millilitres of the drug:
3 ml x 3 ml x 3 ml
-------- = ----------
728 ml total, 8 ml overall
If we cross-multiply, we obtain:
8(x) = 3(728)
To find x, we use the formula x = 3(728)/8 = 273
In order to create 728 millilitres of the medication, 273 millilitres of component A are required.
To know more about compound visit -https://brainly.com/question/20881737
#SPJ1
273 milliliters of compound A are needed to make 728 milliliters of the drug.
What are proportions?
In mathematics, a proportion is a statement that two ratios are equal. It expresses the relationship between two or more quantities that are directly proportional to each other. A proportion can be represented as an equation of the form:
a/b = c/d
To determine the amount of compound A needed to make 728 milliliters of the drug, we need to use the given ratio of 3 milliliters of compound A to 5 milliliters of compound B.
Let's start by finding the ratio of compound A to the total amount of ingredients (A+B) in the drug:
3 : (3+5) or 3:8
This means that for every 8 milliliters of the drug, 3 milliliters of compound A are used.
To find out how many milliliters of compound A are needed for 728 milliliters of the drug, we can set up a proportion:
3/8 = x/728
where x represents the amount of compound A needed.
To solve for x, we can cross-multiply:
8x = 3*728
8x = 2184
x = 273
Therefore, 273 milliliters of compound A are needed to make 728 milliliters of the drug.
To learn more about proportions from given link:
brainly.com/question/26617614
#SPJ1
Pls help yes or no question. Is parallelogram QRST a rhombus? Explanation please just for understanding
Answer:
no
Step-by-step explanation:
You want to know if the given parallelogram is a rhombus.
RhombusThe diagonals of a rhombus are perpendicular bisectors of each other. They each bisect the angles at the vertices of the rhombus.
Here, the angles on either side of the diagonal are different, so the diagonal is not an angle bisector. The quadrilateral is not a rhombus.
Explain why triangles with 3 congruent parts aren’t necessarily congruent.
Answer:
SAS stands for "side, angle, side" and means that we have two triangles where we know two sides and the included angle are equal. If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.
Step-by-step explanation:
I hope this helps and pls mark me brainliest :)
A pair of pants cost $35. There is a 20% discount and 7% tax rate. Which expression can be used to find the final price of the pants?
Answer:
69%
Step-by-step explanation:
Answer:
14.98
Step-by-step explanation:
Step one: \(\frac{100}{20}\) = .20
Step Two: 35 * .20 = 14
Step Three (adding the 7% tax): \(\frac{100}{7}\) = .07
Step Four: 14 * .07 = .98
Step Five (last step): 14 + .98 = 14.98
Answer: 14.98
HELP PLEASE AS SOON AS POSSIBLE WILL GIVE U BRAINLIST
Answer:
The table represents a nonlinear function because the rate is not constant.
Step-by-step explanation:
As shown in the picture below, the x side of the table has the same rate of change of +1. However, due to the fact that the y side does not have the same rate of change, +6 and +3, the table represents a non linear function. If the rate on the y side of the table were all the same, then this would be a Linear function.
Write a fraction that is equivalent to 3/5 that has a denominator of 20.
5
15
20
20
12
12
20
3
20
Answer:
12/20
Step-by-step explanation:
\(\displaystyle \frac{3}{5}=\frac{3}{5}\cdot\frac{4}{4}=\frac{12}{20}\)
The answer is:
12/20In-depth-explanation:
The denominator of 3/5 is 5. To get from 5 to 20, we multiply it by 4.
We need to multiply both the numerator and the denominator by 4, so we do this:
\(\sf{\dfrac{3\times4}{5\times4}}\)
\(\sf{\dfrac{12}{20}}\)
Hence, the answer is 12/20.HELP SOMEONE EXPLAIN THIS PLEASE
Answer:
Entrance fee for children: $1.92
Entrance fee for adults: $3.92
Step-by-step explanation:
Total expenses for this year: $214.00
The child fee will be: $x
and the adult fee will be $(x+2)
Last year the number of children was 44
and the number of adults was 33
this year also has the same number of children and adults.
which means the entrance fee total for children will be $44x and for adults will be $33(x+2).
44x + 33(x+2) = 214
--> 44x + 33x + 66 = 214
--> 77x = 214 - 66 = 148
--> x = 148/77 = 1.92
So children's price is $1.92 and adults price is $1.92 + 2
hence:
Entrance fee for children: $1.92
Entrance fee for adults: $3.92
Which type of imaginary line runs parallel to the Equator on a map?
A. latitude
B. longitude
C. meridian
D. polar
Answer:
A i dont know i think it is i dont know correct me if im wrong
Answer:
A. latitude
Step-by-step explanation:
The type of imaginary line that runs parallel to the Equator on a map:
A. latitude
please help algebra II
Answer:
If any horizontal line intersects the graph of f more than once, then f does not have an inverse. If no horizontal line intersects the graph of f more than once, then f does have an inverse. The property of having an inverse is very important in mathematics, and it has a name.
Step-by-step explanation:
The ratio of the corresponding sides of two similar rectangles is 4:9 (table A: table B).
Table A has a perimeter of 27 feet.
What is the perimeter of table B?
The ratio of the corresponding side lengths of two similar rectangular tables is 4:9 (table A: table B).
Table A has a perimeter of 27 feet.
What is the perimeter of table B?
Answer:
60.75 feet
Step-by-step explanation:
The ratio of the corresponding sides of two similar rectangles= 4:9
Perimeter of Table A= 27 feet
Perimeter of Table B= ?
Perimeter of Table A= 27 feet
4x= 27
x= \(\frac{27}{4}\)
x= 6.75
Perimeter of Table B= 9x
= 9 x 6.75
= 60.75 feet
4:9 = 27:60.75
∴ the perimeter of table B is 60.75 feet.
Help !!
centimeters and millimeters <3
1 cm = 10 mm. Length of book : 28 cm. Length of book = 280 mm. This shows that measurements in mm are the same but look to have a higher number .
How to compare centimeters and millimeters ?The conversion factor provided states that 1 cm is equal to 10 mm, which means that 1 cm is made up of 10 individual millimeters.
The length of my book in when measured in millimeters is 280 mm.
In centimeters, this is therefore:
= 280 mm / 10 cm /mm
= 28 cm
Although the numerical value appears higher when expressed in millimeters, it is important to note that the actual length of the book remains the same.
Find out more on centimeters at https://brainly.com/question/22462126
#SPJ1
Differentiate the function with respect to x. Shot steps
The differentiation of the function f(x) = sin⁻¹(3x⁵) is \(15x^4/\sqrt{1-9x^{10}}\).
What is function?Function is a combination of different types of variable and constants.
A function is denoted by f(x).
The given function is,
f(x) = sin⁻¹(3x⁵)
Differentiate the given function with respect to x
f'(x) = d/dx(sin⁻¹(3x⁵))
The differentiation of sin⁻¹x is \(1/\sqrt{1-x^2}\),
f'(x) =\(1/\sqrt{1-(3x^5)^2}\cdot d/dx(3x^5)\)
= \(1/\sqrt{1-9x^{10}}\cdot 15x^4\)
= \(15x^4/\sqrt{1-9x^{10}}\)
The differentiation of f(x) = sin⁻¹(3x⁵) is \(15x^4/\sqrt{1-9x^{10}}\).
To know more about Function on;
https://brainly.com/question/2411204
#SPJ1