Answer:
1/4
Step-by-step explanation:
hope it helped
Avery's recipe ask for 100ml of milk. She only has a 10ml measuring cup. How many times will she need to fill her measuring cup to get the right amount of milk for her recipe
Ten times to get the required amount of 100ml of milk for her recipe.
Avery needs to measure 100ml of milk for her recipe but she only has a 10ml measuring cup.
Therefore, she needs to determine how many times she will need to fill her 10ml measuring cup to get the required amount of milk.
To calculate this, we can divide the required amount of milk by the capacity of the measuring cup. In this case, we divide 100ml by 10ml to get:
100ml ÷ 10ml = 10
This means that A very will need to fill her 10ml measuring cup 10 times to get the required amount of milk for her recipe.
Another way to think about it is to consider that 100ml is ten times the capacity of the 10ml measuring cup. Therefore, Avery will need to fill the measuring cup ten times to get the required amount of milk.
In summary, Avery will need to fill her 10ml measuring cup ten times to get the required amount of 100ml of milk for her recipe. t
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pls help me giving brainless.
The volume of a tree stump can be modeled by considering it as a right cylinder. Jin measures its radius as 11 in and its volume as 13685 cubic inches. Find the height of the stump in inches. Round your answer to the nearest tenth if necessary.
If the radius of tree stump is 11 inches and volume is 13685 cubic inches then the height will be equal to 36 inches.
Given Radius of tree stump is 11 inches and volume is 13685 cubic inches.
We know that the volume of cylinder will be equal to π\(r^{2} h\).
Volume which is given as 13685 cubic inches.
13685=π\(r^{2}h\)
π=22/7
13685=π\((11)^{2}\)h
h=13685*7/22*121
h=95795/2662
h=35.98
if we round it to nearest tenth then the value of h be 36 inches.
Hence if radius is 11 inches, volume is 13685 cubic inches then the height of tree stump will be 36 inches.
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Answer:36
Step-by-step explanation:
The FDA regulates that fresh Albacore tuna fish that is consumed is allowed to contain 0.82 ppm of mercury or less. A laboratory is estimating the amount of mercury in tuna fish for a new company and needs to have a margin of error within 0.023 ppm of mercury with 97% confidence. Assume the population standard deviation is 0.143 ppm of mercury. What sample size is needed? Round up to the nearest integer, do not include any decimals. Answer:
Answer:
\(n=(\frac{2.17(0.143)}{0.023})^2 =182.03 \approx 183\)
So the answer for this case would be n=183 rounded up to the nearest integer
Step-by-step explanation:
Information provided
\(\bar X\) represent the sample mean
\(\mu\) population mean (variable of interest)
\(\sigma = 0.143\) represent the population standard deviation
n represent the sample size
\( ME = 0.023\) the margin of error desired
Solution to the problem
The margin of error is given by this formula:
\( ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}\) (a)
And on this case we have that ME =0.023 and we are interested in order to find the value of n, if we solve n from equation (a) we got:
\(n=(\frac{z_{\alpha/2} \sigma}{ME})^2\) (b)
The confidence level is 97% or 0.97 and the significance would be \(\alpha=1-0.97=0.03\) and \(\alpha/2 = 0.015\) then the critical value would be: \(z_{\alpha/2}=2.17\), replacing into formula (5) we got:
\(n=(\frac{2.17(0.143)}{0.023})^2 =182.03 \approx 183\)
So the answer for this case would be n=183 rounded up to the nearest integer
I don't understand with this question, can you help me with this pls?
Answer:
By moving the decimal at the end of the number to the correct amount of places for x 10 you move it once to the right for x 100 you move it right twice.
Step-by-step explanation:
A theater wants to build movable steps that they can use to go on and off the stage. They want the steps to have enough space inside so they can also be used to store props.
The required amount of the space available is 0.045 cubic meter.
We need to determine Space inside the steps.
What is volume?The Volume is defined as the mass of object per unit density.
The required space = 0.3*0.4*0.5 - 0.15*0.5*0.2
= 0.06 - 0.015
= 0.045 cubic meter
Hence, the required amount of the space available will be 0.045 cubic meter.
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How to solve Solve 3!
Answer:
by solving 3
Step-by-step explanation:
Please help with this math work!! Solve for x , Assume which appear tangent are tangent
Answer:
photo is not clear so i can't help u
Answer:
i cant really see the q so sorry but goodluck <3
Choose the letter of the equation for
the graph.
The graphed trigonometric function is the one in option a.
Which is the equation of the graph?The key parts that we can see on the graph are:
The midline is y = 1.From this we know that the correct option is either a or b.
at x = 0, f(x) = 0.Now we can evaluate options a and b in x = 0 and see which one is equal to zero.
for a:
y = sin(0 - pi/2) + 1 = sin(-pi/2) + 1 = -1 + 1 = 0
for b:
y = cos(0 + pi/2) + 1 = 0 + 1 = 1
Then we can see that option a is the correct option.
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3x - y = 1; D: (-3, -1, 0, 4)
Graph each function for the given domain
Evaluating the function in the values of the domain we will get some coordinate pairs. The graph of these is in the image at the end.
How to graph the function in the given domain?Here we have the function:
3x - y = 1
And we want to graph this in the domain (-3, -1, 0, 4)
To do so, we need to evaluate the function (the values of x) in the values of the domain.
Solving the equation for y we get:
y = 3x - 1
Now, when x = -3
y = 3*-3 - 1 = -10
when x = -1
y = 3*-1 - 1 = -4
when x = 0
y = 3*0 - 1 = -1
When x = 4
y = 3*4 - 1 = 11
So we have the points (-3, -10), (-1, -4), (0, -1), (4, 11)
The graph of these points is on the image below.
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(q1) Find the length of the curve described by the function
The value of the Integral at the lower limit from the value of the integral at the upper limit to get the length of the curve.
The length of the curve described by the function f(x) = 1 + 3x^2 + 2x^3 is to be found. The formula used to find the length of a curve is:
L = ∫(sqrt(1 + [f'(x)]^2))dx where f'(x) is the derivative of f(x)We have to first find f'(x):f(x) = 1 + 3x^2 + 2x^3f'(x) = 6x + 6x^2
The integral becomes:L = ∫(sqrt(1 + [6x + 6x^2]^2))dx = ∫(sqrt(1 + 36x^2 + 72x^3 + 36x^4))dx The integral appears to be difficult to evaluate by hand.
Therefore, we use software like Mathematica or Wolfram Alpha to solve the problem. Integrating the expression using Wolfram Alpha gives:
L = 1/54(9sqrt(10)arcsinh(3xsqrt(2/5)) + 2sqrt(5)(2x^2 + 3x)sqrt(9x^2 + 4))The limits of integration are not given. Therefore, the definite integral be solved.
We can, however, find a general solution. We use the above formula and substitute the limits of integration.
Then, we subtract the value of the integral at the lower limit from the value of the integral at the upper limit to get the length of the curve.
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Hope is n years old. Interpret the following expression if the expression represents Hunter's age.
3n -8
A.
Hunter is 8 years younger than Hope's age.
B.
Hunter is 8 years older than 3 more than Hope's age.
C.
Hunter is 8 years younger than 3 times Hope's age.
D.
Hunter is 8 years older than 3 times Hope's age.
Answer:
its A and B
Step-by-step explanation:
Because if you do the opposite of subtracting is adding so that means you add 8 to 3 which equals to 11 years old.
so that means Hope is 11 years old
Can you find the surface area of a rectangular prism 2,3,4
Answer:
48
Step-by-step explanation:
4*2*3 for the 4 flaps
2*4*3 for the 2 tops
(4*2*3) + (2*4*3) = 48
Answer:
52 square inches
Step-by-step explanation:
to find the surface area of a rectangular prism the formula is
S.A.=2(l*w+l*h+w*h)
2(4*3+4*2+3*2)
=52 square inches
here l is length w is width and h is height
find all complex solutions of 5x^2+5x+4=0
Answer:
-1/2 + i/10 sqrt(55) , -1/2 - i/10 sqrt(55)
Step-by-step explanation:
5x^2+5x+4=0
a=5 b= 5 c=4
Using the quadratic formula
-b ± sqrt( b^2 -4ac)
---------------------------------
2a
-5 ± sqrt( 5^2 - 4(5)(4))
----------------------------------
2(5)
-5±sqrt( 25 - 80)
----------------------------
10
-5± sqrt(-55)
--------------------------
10
-5/10 ± 1/10 i sqrt(55)
-1/2 + i/10 sqrt(55) and -1/2 - i/10 sqrt(55)
Answer:
x= -5 ± i√55 / 10
Step-by-step explanation:
hope i helped
whats the answer for 45 meters every 5 seconds = meters per second
Answer:
9 meters every second
Step-by-step explanation:
45/5=9
5/5=1
9:1
Please help it’s URGENT!
The least common denominator needed to solve the equation is given as follows:
D. x(x - 3).
How to obtain the least common denominator?The equation in this problem is given as follows:
1/x + 2/(x - 3) = 5.
The denominators of each expression are given as follows:
x.x - 3.x and x - 3 are not factors of each other, hence we multiply them and the least common denominator needed to solve the equation is given as follows:
D. x(x - 3).
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HELPPP!! I'LL MARK U
The area of the figure is ______ square units.
Answer:
8 units
Step-by-step explanation:
Area of square:
length * width
2 * 3
= 6 units
Area of triangle:
1/2 * base * height
1/2 * 2 * 2
= 2 units
Area of entire shape:
6 + 2
= 8 units
So, the area of the shape is 8 units.
If this answer helped you, please leave a thanks!
Have a GREAT day!!!
which of the following is equivalent to 5(2x - 3) - 4(3x - 2) = 18?
2x-7=18 -
2x-5=18
-2x-7=18
-2x-23=18
Answer:
-2x-7=18
Step-by-step explanation:
my be this could help
What is the 99% confidence interval for a sample of 52 seat belts that have a mean length of 85.6 inches long and a population standard deviation of 3.8 inches?
We need o find the 99% confidence interval for a sample with:
\(\begin{gathered} n=52 \\ \\ \overline{x}=85.6\text{ in} \\ \\ \sigma=3.8\text{ in} \end{gathered}\)A 99% confidence interval has a z-value z = 2.576.
And the confidence interval is given by:
\(\overline{x}\pm z\times\frac{\sigma}{\sqrt{n}}\)Thus, we obtain:
\(\begin{gathered} 85.6\text{ in}\pm2.576\times\frac{3.8\text{ in}}{\sqrt{52}} \\ \\ \cong85.6\text{ }\imaginaryI\text{n}\pm1.4\text{ in} \end{gathered}\)Approximating to the nearest tenth, the 99% confidence interval is:
Answer
\(\lbrack84.2\text{ in},87.0\text{ in}\rbrack\)Drag statements and reasons to each row to show why the slope of the line between R and S is the same as the slope between S and T, given that triangles A and B are similar.
For statement 5/3, the reason is the definition of slope. And for statement (5/3)=(15/9), the reason is triangle A is similar to triangle B.
What is the slope?Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope is also defined as the ratio of the rise to the run.
If the slope of the triangles is equal then triangle A is similar to triangle B.
In the statement when we simplify
(5/3)=(15/9),
(5/3)=(5/3),
Then the reason for this statement is "If the slope of triangles are equal"
And the definition of slope in general is m = y/x.
Therefore, for statement 5/3, the reason is the definition of slope. And for statement (5/3)=(15/9), the reason is triangle A is similar to triangle B.
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The height above the surface of the Earth (in meters) of a rock thrown into the air at 10 m/s after x seconds is given by f(x)=-9.8x^2+10x+1.5. On the surface of the moon, the height is given by g(x)=-1.6x+10x+1.5. How much higher does the rock travel on the moon than on Earth?
How much higher does the rock travel on the moon than on Earth? (Round to the nearest tenth if needed)
Answer:
The answer is 13.1
Step-by-step explanation:
Hello! Hope u still need the answer but the answer for the question above is "13.1"! How did I got the answer you ask? I'll show u! :)
The maximum height of the rock represents the vertex of a parabola. Recall that the x-coordinate of the standard form quadratic function f(x)axbxc is given as x
Hope this help you! I got the answer wrong but and waiting for an answer but it's best if u learn from your mistakes and ask for help! :)
The rock travels 8.2x² meters higher on the Moon than on Earth.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
The height above the surface of the Moon is given by g(x) = -1.6x² + 10x + 1.5.
The height above the surface of the Earth is given by f(x) = -9.8x²
+ 10x + 1.5.
To find the difference in height between the two, we can subtract the Earth equation from the Moon equation:
g(x) - f(x) = (-1.6x² + 10x + 1.5) - (-9.8x² + 10x + 1.5)
Which simplifies to:
g(x) - f(x) = 8.2x²
Therefore, the rock travels 8.2x² meters higher on the Moon than on Earth.
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Ann and Ruth bowled together and had a combined score of 410 points. Ann's score was 44 points less than Ruth's score. Which system of equations can be used to determine x, Ann's score and y, Ruth's score. (A.21)
The systems of equation are;
\(\begin{gathered} x\text{ + y = 410} \\ y-x\text{ = 44} \end{gathered}\)Here, we want to write a system of equations that can be used to determine individual scores
From the question, x represents Ann's score while y represents Ruth's score
Looking at the first part, there was a combined score of 410
This means that if we add both scores together, we will get 410
Using mathematical notation, this will be;
\(x\text{ + y = 410}\)Moving on, we are told that Ann's score was 44 points less than Ruth's score. In other words, the difference between their scores is 44, with Ruth's score greater.
Thus, mathematically, we have that;
\(y\text{ - x = 44}\)Find the midpoint of the equation y = 4x - 6 between the x-intercepts and the y-intercepts.
Step-by-step explanation:
y int
x=0
y=4(0)-6
y=-6
0;-6
x int
y=0
0=4x-6
6=4x
6/4=x
3/2=x
3/2;0
Answer:
Below in bold.
Step-by-step explanation:
y = 4x - 6
Find y-intercept:
y = 4(0) - 6 = -6
Y intercept is at (0, -6)
x-intercept:
4x - 6 = 0
4x = 6
x = 6/4 =1.5.
x intercept is at (1.5, 0)
Midpoint is at ((0+1.5)/2, (-6 + 0)/2)
= (0.75, -3)
What is the answer to this problem
need help on this as soon as you can please
Answer:
x+5
Step-by-step explanation:
4x -3x= 1x or x
115-110= 5
x+5
The graph shows which inequality? The vertex is (2, 1). y ≥ |x + 2| + 1 y < |x – 2| + 1 y < |x + 2| + 1 y > |x – 2| + 1
The inequality y < |x – 2| + 1 is shown by the plotted graph.
Explain about the inequality of function?As an inequality is really a particular kind of relation, we may graph it just like we would any other relation. When dealing with inequalities, the trick is to darken large portions of the graph rather than using lines to link the dots.
Modulus function is given as: y = |x| and f(x) = |x|,
In which, f: R → (0,∞) as well as x ∈ R. |x| shows modulus of x(real number). For x as non-negative the f(x) gives same value x. For x as negative,the f(x) gives magnitude of x, which is, f(x) = -x.For the given graph:
Dotted line shows that y will not include the values lying on line.Shaded region lies under the graph function y will be less.There is a shift of 1 value on y axis, +1 will be used.Thus, y < |x – 2| + 1 function is plotted.
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The complete question is attached-
The graph shows which inequality? The vertex is (2, 1).
y ≥ |x + 2| + 1
y < |x – 2| + 1
y < |x + 2| + 1
y > |x – 2| + 1
The mean cost of a five pound bag of shrimp is 40 dollars with a standard deviation of 8 dollars.
If a sample of 49 bags of shrimp is randomly selected, what is the probability that the sample mean would be less than 37.4 dollars? Round your answer to four decimal places.
Answer:
The mean of the sample distribution of the sample mean is the same as the population mean, which is 40 dollars. The standard deviation of the sample distribution of the sample mean (also called the standard error) is given by:
standard error = standard deviation / sqrt(sample size) = 8 / sqrt(49) = 8 / 7
To find the probability that the sample mean would be less than 37.4 dollars, we need to standardize the sample mean using the standard error and then look up the probability from a standard normal distribution table. The z-score for a sample mean of 37.4 dollars is:
z = (37.4 - 40) / (8 / 7) = -1.225
Looking up this z-score in a standard normal distribution table, we find that the probability of getting a sample mean less than 37.4 dollars is 0.1103 (rounded to four decimal places). Therefore, the probability that the sample mean would be less than 37.4 dollars is 0.1103.
give thanks, your welcome <3
Step-by-step explanation:
if the function f(x)=4x+2 and g(x)= 5/2x-4 then which of the following is a false statement
Answer:2 f(-4)=g(-4)
Step-by-step explanation:
how many degrees would it turn to get to 12:20?
Answer:
I’m so sorry I wish I could help
Step-by-step explanation:
Answer: So each hour represents 30°.
The minute hand moves 60s per minute and a full rotation is 360° so: 360/60 = 6° per minute.
So in 20 minutes the minute hand will be 6 * 20 = 120° and the hour hand will be 120/12 = 10°.
so it would be 10°
hope this helps have a nice day❤️
Step-by-step explanation:
A function is expressed by the formula y = 2x + 7. Find the value of y if x is equal to 1; -20; 43.
Answer:
when x = 1 then y = 9
when x = -20 then y = -33
when x = 43 then y = 93
Step-by-step explanation:
Just replace the given values of x ( which are 1 , -20 , 43 ) in the function