Answer:
sarah makes 10 cupcakes
Step-by-step explanation:
baker makes 30 cupcakes.
30/3=10
Work out the product of 3 1/3 and 2 1/6
Give your answer as a mixed number.
Answer:
as a mized number.
Step-by-step explanation:
The product of the numbers [tex]3 \frac{1}{3}[/tex] and [tex]2 \frac{1}{6}[/tex] will be [tex]7 \frac{2}{9}[/tex].
What is mean by Fraction?
A fraction is a part of whole number, and a way to split up a number into equal parts.
Given that;
The fractions are,
⇒ [tex]3 \frac{1}{3}[/tex] and [tex]2 \frac{1}{6}[/tex]
Now,
Solve the product of fractions as;
⇒ [tex]3 \frac{1}{3}[/tex] and [tex]2 \frac{1}{6}[/tex]
⇒ [tex]3 \frac{1}{3}[/tex] × [tex]2 \frac{1}{6}[/tex]
⇒ 10/3 x 13/6
⇒ 65/9
⇒ [tex]7 \frac{2}{9}[/tex].
Thus, The product of the numbers [tex]3 \frac{1}{3}[/tex] and [tex]2 \frac{1}{6}[/tex] will be [tex]7 \frac{2}{9}[/tex].
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Brian bought 20 apples. He bought twice as many as Timmy. How many apples did Timmy buy?
Answer:
10 apples
Step-by-step explanation:
if Person a bought twice as many apples as person b then it would be ten considering 10 x 2 = 20
eqaution: 10 divided by 2
Find the approximate area under the curve by dividing the intervals into n subintervals and then adding up the areas of the inscribed rectangles. The height of each rectangle may be found by evaluating the function for each value of x. Your instructor will assign you n1and n2y = 2x underroot x^2 + 1 betwee x=0 and x=6 n1 and n2Find the exact area under the curve using integrationy = 2x underroot x^2 + 1 between x = 0 and x = 6
Explain the reason for the difference in your answers.
n1=12
n2=5
Answer and Step-by-step explanation: There are a number of ways of calculating an area under a curve. The more precise way is to use Definite Integral:
The function is [tex]2x\sqrt{x^{2}+1}[/tex], then the area under, with interval between 0 and 6 is:
[tex]\int\limits^6_0 {(2x\sqrt{x^{2}+1}) } \, dx[/tex]
To solve this integration, use substitution method, in which:
[tex]u=x^{2}+1[/tex]
[tex]\frac{du}{dx}=2x[/tex]
du = 2xdx
Replacing into the integral:
[tex]\int\limits^a_b {\sqrt{u} } \, du[/tex]
Solving:
[tex]\int\limits^a_b {\sqrt{u} } \, du=\frac{2}{3} \sqrt{u^{3}}[/tex]
Replacing it back to x:
[tex]\int\limits^6_0 {2x\sqrt{x^{2}+1} } \, dx =\frac{2}{3}\sqrt{(x^{2}+1)}[/tex]
Substituing limits between 0 and 6:
[tex]= \frac{2}{3}[\sqrt{(6^{2}+1)^{3}}-\sqrt{(0^{2}+1)^{3}} ][/tex]
= 149.37
Area under the curve using Integration is 149.37 square units
Another way of calculating area under the curve is dividing the area into a number of small rectangles and then adding the area of each one. This method is called Riemann Sums and it is an approximation of the area.
The method is done by the following relation:
in which
i is the n, the number of subintervals the area is dividing into
Δx is width of each subintervals.
For the function f(x) = [tex]2x\sqrt{x^{2}+1}[/tex], interval between 0 and 6:
subinterval n1 = 12:[tex]\Delta x=\frac{6-0}{12}[/tex]
[tex]\Delta x=[/tex] 0.5
[tex]A=\Sigma f(x_{i}).\Delta x[/tex]
[tex]A = f(0)*0.5+f(0.5)*0.5+f(1)*0.5+f(1.5)*0.5+f(2)*0.5+f(2.5)*0.5+f(3)*0.5+f(3.5)*0.5+f(4)*0.5+f(4.5)*0.5+f(5)*0.5+f(5.5)*0.5[/tex]
[tex]A=0+1.12*0.5+2.83*0.5+...+50.99*0.5+61.49*0.5[/tex]
A = 131.575 square units
subinterval n2 = 5:[tex]\Delta x=\frac{6-0}{5}[/tex]
Δx = 1.2
[tex]A=f(0)*1.2+f(1.2)*1.2+f(2.4)*1.2+f(3.6)*1.2+f(4.8)*1.2[/tex]
[tex]A=0*1.2+3.75*1.2+12.48*1.2+26.90*1.2+47.07*1.2[/tex]
A = 108.24 square units
Comparing results, notice that with less subintervals, the area is far from the exact measure. It occurs because Riemann Sums is an approximation method. So, if there are more subintervals, more approximate is the area, therefore, more precise it will be.
Nick volunteers at the library shelving books.
The graph shows how many books Nick shelves one Saturday.
Graph of a diagonal line on a coordinate plane with ALTDCTime in hoursALTDC on x-axis and ALTDCNumber of BooksALTDC on y-axis. The diagonal line is going up and to the right. Line passes through points (0, 0), (2, 60) and (4, 120).
Part A
How many books does Nick shelve in 2 hours? Enter your answer in the box.
books
Part B
What does the point (3, 90) represent on the graph?
A.
Nick volunteers 90 hours in 3 weeks.
B.
Nick earns $90 in 3 weeks.
C.
Nick shelves 90 books in 3 hours.
D.
Nick shelves 90 books on 3 Saturdays.
Answer:
B: A
He earns $90 in 3 weeks.
C
He shelves 90 books in 3 hours.
Step-by-step explanation:
Answer:
Step-by-step explanation:
I need help plz!!!!!! Will give 100 points.
Point-Slope Form: y - 5 = 3(x - 1)
Standard Form: ???? HELP
think of a number, subtract 3 then multiply by 4
Answer:
7 - 3 = 4
4 x 4 = 16
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
12-3= 9
9 times 4 =36
last night's Dansball game, there were 4 walks and 15 hits. Express the ratio of walks to hits , written in three different ways
Answer:
4/15, 4:15, 4 to 15
Step-by-step explanation:
Let W be the walks and H the hits, then,
WAY1:
[tex]\frac{W}{H} =\frac{4}{15}[/tex]
WAY2:
W:H⇒4:15
WAY3
W to H ⇒4 to 15
Which action can be taken to the expression in Step 3 to give an expression for Step 4?
divide both the numerator and denominator by sin(x)sin(y)
divide both the numerator and denominator by sin(x)cos(y)
divide both the numerator and denominator by cos(x)sin(y)
divide both the numerator and denominator by cos(x)cos(y)
Answer:
D divide both the numerator and denominator by cos(x)cos(y)
Step-by-step explanation:
just took the test
Complete the table of values for this equation:
y = 4x +30
Enter your answer by filling in the boxes
Answer:
42, 46, and 50.
Step-by-step explanation:
We need to plug in each x value to find the y values.
1) y = 4(3) + 30
y = 12 + 30
y = 42
2) y = 4(4) + 30
y = 16 + 30
y = 46
3) y = 4(5) + 30
y = 20 + 30
y = 50
What is the value of k in the equation k/3-5=34
Answer: What is the value of k in the equation k/3-5=34
Step-by-step explanation: Solution for k/3-5=34 equation: k in (-oo:+oo) k/3-5 = 34 // - 34 k/3-34-5 = 0 1/3*k-39 = 0 // + 39 1/3*k = 39 // : 1/3 k = 39/1/3 k = 117 k = 117
Answer:
k = 117
Step-by-step explanation:
I was just learning this in class...
So basically you need to get the variable k by itself so you add 5 to -5 in the equation and leave k/3 alone and then you add 5 to the other side of the equation also so you add 34+5 and you get 37 so you get k/3=37 and now you multiply 3 by 3 to cancel it out and then you once again do it on the other side of the equation 37 x 3=117 soo that leads you too k=117 YAYYY!!
y Andrew is solving the problem
30 , 6. He reasons that, because 6 is
twice as big as 3, then 30 , 6 must be
twice as big as 30 , 3. What mistake is
Andrew making?
if 4/3h=12, then h = 16 true or falae
false the answer will be 1/9
Please answer this correctly without making mistakes
Answer:
What is the question?
Step-by-step explanation:
Plz mark brainliest!!!
Write an equation for the line in slope-intercept form, Passing through the point (1,-6) and (-1,0)
y =
Solve
Show full work
Answer:
y=3x+3
Step-by-step explanation:
y=mx+b is slope intercept form
to find the slope(m) you need to plug your numbers into the equation y(2)-y(1)/x(2)-x(1)
which means subtract the Y's together and the X's together and put the quotient of the Y's on top. Note that you have to choose a set of number to be the first group and the other set as the second group
so (0-6)/(-1-1) = -6/-2 = 3
3 will be your slope. plug that and a set of your numbers into the slope intercept equation
0=3(-1)+b
0=-3+b
3=b
y=3x+3
hsosjqndksowowlwksmzndnkwoa
Answer:
What do you want us to answer here?
Step-by-step explanation:
???
Find the measure of each angle
Answer:
Answer is in the screenshot provided.
Step-by-step explanation:
Work is also in the screenshot provided.
Solve the inequality 5y + 4 < 3y + 17
Answer:
y<13/2
Step-by-step explanation:
5y + 4 < 3y + 17
5y-3y<-4+17
2y<13
y<13/2
Answer:
y<6.5
Step-by-step explanation:
5y+4<3y+17
Subtract 3 from both sides
2y+4<17
Subtractc4 from both sides
2y<13
Divide both sides by 2
y<6.5
Which of the following values are solutions to the inequality 5 < 7+ 5x?
Answer:
x can equal to anything that is 1 and higher
Step-by-step explanation:
The equation is already correct, you just want to get x as a number that would increase the value.
Find the slope of the line passing through the points (-3,-4) and (2, -4). Slope:
Answer:
0
Step-by-step explanation:
Slop of the line=y1-y2/x1-x2
Where x1,y1 point (-3,-4)
And X2,y2 point (2,-4)
So slop= (-4+4)/(-3-2)
=0/-5
So slop is 0
PLS HELP ME FAST WILL GIVE POINTS
Triangle PQR is transformed to triangle P′Q′R′. Triangle PQR has vertices P(9, 0), Q(6, 3), and R(−3, −6). Triangle P′Q′R′ has vertices P′(3, 0), Q′(2, 1), and R′(−1, −2). Plot triangles PQR and P′Q′R′ on your own coordinate grid.
Part A: What is the scale factor of the dilation that transforms triangle PQR to triangle P′Q′R′? Explain your answer. (4 points)
Part B: Write the coordinates of triangle P′′Q′′R′′ obtained after P′Q′R′ is reflected about the y-axis. (4 points)
Part C: Are the two triangles PQR and P′'Q′'R′' congruent? Explain your answer. (2 points)
Answer:
The scale factor of the dilation that transforms the triangle is 1/3
Step-by-step explanation:
9x1/3 is 3. 6x1/3 is 2, etc.
El valor de las variables
Answer:
25 / 2
Step-by-step explanation:
Find ( D × [tex]\frac{E}{F}[/tex] ) if D = 5, E = 10, F = 4
5 × [tex]\frac{10}{4}[/tex] = 25 / 2
Please help!!! I need to know the answer to this question quickly please
Which year group is this question from?
7x31=????????????????
Answer:
217
Step-by-step explanation:
7 × 31 = 217I hope this helps!
Researchers are interested in estimating the percentage of Americans who will get a flu shot this year. How many Americans should be surveyed to be 80% confident that the sample proportion of Americans who will get a flu shot this year is within 0.100 of the population proportion Assume we have a prior estimate of 45%. Round your z critical value to four decimal places.
Answer:
The sample size bedded is [tex]n =41[/tex]
Step-by-step explanation:
From the question we are told that
The margin of error is [tex]E = 0.100[/tex]
The sample proportion is [tex]\^ p = 0.45[/tex]
From the question we are told the confidence level is 80% , hence the level of significance is
[tex]\alpha = (100 - 80) \%[/tex]
=> [tex]\alpha = 0.20[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.282[/tex]
Generally the sample size is mathematically represented as
[tex]n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p ) [/tex]
=> [tex]n = [\frac{1.282}{ 0.100} ]^2 *0.45 (1 - 0.45 ) [/tex]
=> [tex]n =41[/tex]
Faith invested \$1,100 in an account paying an interest rate of 5.1\% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars, would be in the account after 18 years?
Compounded Continuously:
A=Pe^{rt}
A=Pe
rt
P=1100\hspace{35px}r=0.051\hspace{35px}t=18
P=1100r=0.051t=18
Given values
A=1100e^{0.051(18)}
A=1100e
0.051(18)
Answer: 2,750
Explanation:
Plug in
A=1100e^{0.918}
A=1100e
0.918
Multiply
A=2754.70450683
A=2754.70450683
Use calculator (with e button)
A\approx 2750
A≈2750
Round to nearest ten dollars
please heart!
VVV and rate stars! VVV :D
The amount of money after 18 years nearest to ten will be $2,750.
What is continuous compounding?Theoretically, long-term average interest means that interest is continuously earned on a current account as well as reinvested into the balance to increase future interest earnings.
The equation is given as,
[tex]\rm A=P_o \times e^{r \times t}\\[/tex]
Faith invested $1,100 in an account paying an interest rate of 5.1% compounded continuously.
Then the amount after 18 years is calculated as,
[tex]\rm A = \$1,100 \times e^{0.051 \times 18}\\A = \$1,100 \times e^{0.918}[/tex]
Simplify the equation further, then we have
A = $1,100 x 2.504
A = $2,754.7
The amount of money after 18 years nearest to ten will be $2,750.
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What is the slope of (0,4) and (3,10)? Please helppppp a girl outt !
Answer:
M=6 OR slope=6
Step-by-step explanation:
Use slope formula
Answer:
The slope of the given line is 2Step-by-step explanation:
Slope is defined as the change of y over the change of x or rise over run. This is calculated by subtracting the second set of vales from the first set of values.
For y:
We have 10 and 4 for the y coordinates (y is the second number in a coordinate set). We will subtract 4 from 10, to get a result of 6.
For x:
We have 3 and 0 for the x coordinates (x is the first number in a coordinate set). We will subtract 0 from 3, to get a result of 3.
Slope is 6/3 or 2/1
The slope of the given line is 21/7 divided by 2/5 - 1/7=
Answer:
1 4/5
Step-by-step explanation:
2/5-1/7=9/35
9/35 / 1/7=9/5=1 4/5
A box that measures 15 inches by 5 inches by 3 inches.
What are the units of the volume of the figure?
square inches
cubic inches
square centimeters
cubic centimeters
Answer: cubic inches.
Step-by-step explanation: When calculating volume, all of the units must be cubed. And all of the measurements are in inches.
(h)/(15)=(16)/(3) i need help- someone help please?
Answer:
h=80
Step-by-step explanation:
Hope this helps and have a great day :)Answer:
H=80
Step-by-step explanation:
15 divided by 5 equals 3, so that means H divided by 5 equals 16. Flip it so your doing 16*5=80.
Which property is shown in the matrix addition below?
[-6 15 -2 ] + [6 -15 2 ] = [0 0 0
Answer:
The property shown in matrix addition given is "Additive Inverse Property"
Step-by-step explanation:
First of all lets define what a matrix is.
A matrix is an array of rows and columns that consists of numbers. There are several types of matrices. The one in our question is a row matrix which consists of only one row.
There are several addition properties for matrices.
One of them is additive inverse property. The additive inverse of a matrix consists of the same elements but their signs are changed.
Additive inverse property states that the sum of a matrix and its additive inverse is a zero matrix.
[tex]\left[\begin{array}{ccc}-6&15&-2\end{array}\right] + \left[\begin{array}{ccc}6&-15&2\end{array}\right] = \left[\begin{array}{ccc}0&0&0\end{array}\right][/tex]
Hence,
The property shown in matrix addition given is "Additive Inverse Property"