She used 15.7 ft of wire barrier to protect her tomato plant.
How long is the wire barrier?
If the wire barrier is 2.5ft from the tomato plant in every direction, then it forms a circle of radius r = 2.5ft
Remember that for a circle of radius r, the perimeter or circumference is:
\(C = 2*pi*r\)
where pi = 3.14
Then for this case, where r = 2.5ft, we have:
\(C = 2*3.14*2.5ft = 15.7ft\)
Then she used 15.7 ft of wire barrier to protect her tomato plant.
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3/5 +9/10= Please answer
Answer:
3/2 or 1.5
Step-by-step explanation:
Multiply 3/5 by 2 to make the denominator of both fractions equal.
2 x 3/5 = 6/10
Now that the denominators are equal, add the two fractions together
6/10 + 9/10 = 15/10 = 3/2 or 1.5
Answer:
1 1/2
Step-by-step explanation:
3/5 + 9/10
We need a common denominator of 10
3/5 * 2/2 + 9/10
6/10 + 9/10
15/10
10/10 + 5/10
1 + 5/10
1 + 1/2
1 1/2
Which property can be used to solve the equation? 5 d = 75 addition property of equality subtraction property of equality multiplication property of equality division property of equality please answer fast
Answer:
Multiplication Property of Equality
Step-by-step explanation:
Answer:
Division Property of Equality..
Step-by-step explanation:
5 feet
4 feet
What is the perimeter?
16 feet
14 feet
18 feet
perimiter means all the way around, and im assuming this is a 4-sided shape, so 5+5+4+4 = 18 ft.
Simplify: (3x - 1) (x + 2x + 1)
Answer:
9x²-1
Step-by-step explanation:
\((3x - 1)(3x + 1) = 9 {x}^{2} - 1\)
Answer:
Step-by-step explanation:
Graph for (3*x-1)*(x+2*x+1)
Autumn wants to calculate the area of the regular hexagon below using rectangles and triangles. What is the minimum number of shapes she could use?
The minimum number of shapes she could use 3 shapes.
We have given that,
Autumn wants to calculate the area of the regular hexagon below using rectangles and triangles.
What is the regular hexagon?A regular hexagon is defined as a closed 2D shape made up of six equal sides and six equal angles. Each angle of the regular hexagon measures 120 degrees
1 rectangle down the middle
1 triangle on each side of the rectangle.
The minimum number of shapes she could use 3 shapes.
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do you expect a large or a small t-statistic if the population means are different? explain.
A large t-statistic indicates a greater difference between the sample means and provides stronger evidence for a significant difference between the populations.
Why would we expect a large t-statistic if the population means are different?The t-statistic is a measure of the difference between two sample means relative to the variability within the samples. When the population means are different, the difference between the sample means will tend to be larger, which will result in a larger numerator in the t-statistic formula. The larger the difference between the sample means, the greater the evidence for a difference between the populations. In contrast, if the population means are similar, the difference between the sample means will be smaller, resulting in a smaller numerator and a weaker test of significance.
The denominator of the t-statistic formula is the standard error of the mean, which measures the variability of sample means around the population mean. If the sample size is large enough, the standard error of the mean will be small, resulting in a smaller denominator and a larger t-statistic. Therefore, when the population means are different, a larger t-statistic would be expected due to a combination of a larger numerator and a smaller denominator.
In summary, If the population means are different, a large t-statistic would be expected.
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please someone explain this to me <3 :)
Answer:
Step-by-step explanation:
all the sides of the cube are the same, do length x width x height
Solve the following equation algebraically:
x^2 = 20
Answer:
x = -|- 2/5
Step-by-step explanation:
there are two opposite solutions:
Answer:
D
-4.47, 4.47
Edge 2020
Answerrr ASAPPP PLSSS
Answer: 3^4x5^2
Step-by-step explanation:
Tom makes $214.40 in 4 days. How much does he make in 2 days
Answer:107.2
Step-by-step explanation:
So u know how much he gets in 4 days so u subtract 4 days by 2 and u get 2 so then divide 214.40 by 2 and u get 107.2
Derek analyzed the relationship between the mean number of points scored per game by a basketball team and the team's mean home attendance for several seasons. Derek uses the function y=−7,628+325.5x to describe the data. In the function, x represents the mean number of points scored per game, and y represents the mean home attendance. If the team's mean number of points scored per game is 60 next season, what does the model predict that the team's mean home attendance will be? The model predicts that the mean home attendance will be _____ .
Answer:
Step-by-step explanación
0.02
When the mean number of points scored per game next season is 60, the model predicts that the mean home attendance will be 11902
The function that predicts the attendance is given as:
\(y = -7628+325.5x\)
When the mean number of points scored per game next season is 60, it means that the value of x is 60
i.e. x = 60
Substitute 60 for x in the function
So, we have:
\(y = -7628+325.5 \times 60\)
Evaluate the product
\(y = -7628+19530\)
Add -7628 and 19530
\(y = 11902\)
Hence, the model predicts that the mean home attendance will be 11902
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pls help...............................................
Answer:
sorry cant answer ur question need points
Step-by-step explanation:
ONLY ANSWER IF YOU KNOW. What is the probability that either event will occur?
Answer:
Step-by-step explanation:
2.) 0.928
As scientific notation
Answer:
9.28·10^-1
Step-by-step explanation:
Answer:
9.28*10^-1
Step-by-step explanation:
Move the decimal back once to the right. That how you get 9.28 and that why its negative 1.
x=3yz/4 solve for z.
Answer:
\(z = \frac{4x}{3y}\)
Step-by-step explanation:
\(x = \frac{3yz}{4}\)
\(3zy = 4x\)
\(z = \frac{4x}{3y}\)
Answer:
z = (4x)/(3y)
Step-by-step explanation:
Given equation,
→ x = (3yz)/4
Now the value of z will be,
→ x = (3yz)/4
→ (3yz)/4 = x
→ 3yz = x × 4
→ z × 3y = 4x
→ [ z = 4x/3y ]
Hence, value of z is 4x/3y.
y
T
N
9
6
U
3
M
What is the value of y?
3√3 units
6√3 units
O
9√3 units
O 12√3 units
The value of y from the given figure is 6√3
Pythagoras theoremFrom the given figure, according to the theorem;
H² = 6² - 3²
H² = 36 - 9
H² = 27
H = 3√3
Determine the value of y using the same theorem;
y² = 9² + ( 3√3)²
y² = 81. + 27
y = √108
y = 6√3
Hence the value of y from the given figure is 6√3
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which three of the following mixed numbers will produce a whole number when added?
Answer:
theres no image.
Step-by-step explanation:
Help me out sharty's
40 POINTS!! PLEASE!! I AM SOOO LOST!!
A horizontal line passes through $(1,1)$. A vertical line passes through $(2,2)$. What is the point of intersection of these two lines? (No image)
Write an equation for the graph shown in the form y = (The image is below)
In which quadrant(s) do the graphs of $y = x^2$ and $y = 3x +10$ intersect? (No image)
The graphs of these two equations intersect in how many points?
\begin{align*}
x^2 + y^2 &= 25,
x^2 - y^2 &= 3.
(No image)
Answer:
(2,1)
Step-by-step explanation:
since the equations are y=1 and x=2, the answer is (2,1)
sophia has 5 cards numbered 1,3,5,7,9
how many 3 digit numbers divisible by 3 can she make?
Sophia has 5 cards numbered 1, 3, 5, 7, and 9. To form a 3-digit number, the number formed should be divisible by 3.
For a number to be divisible by 3, the sum of its digits must be divisible by 3. In this case, Sophia needs to select three cards from the given set and form a number.
To calculate the number of 3-digit numbers divisible by 3, we can use the concept of combinations. The total number of combinations of selecting 3 cards out of 5 is given by the formula \(\displaystyle\sf \binom{n}{r}=\dfrac{n!}{r!(n-r)!}\), where \(\displaystyle\sf n\) is the total number of items and \(\displaystyle\sf r\) is the number of items to be selected.
Using this formula, the number of ways Sophia can select 3 cards out of the given 5 is \(\displaystyle\sf \binom{5}{3}=\dfrac{5!}{3!(5-3)!}\).
Simplifying, we have \(\displaystyle\sf \binom{5}{3}=\dfrac{5\times 4\times 3!}{3!\times 2!}\).
Canceling out the common terms, we get \(\displaystyle\sf \binom{5}{3}=\dfrac{5\times 4}{2\times 1}=10\).
So, Sophia can make 10 different 3-digit numbers using the given cards.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
HeLLPP! Sean and Mason run out of gas while fishing from their boat in the bay. They set off an emergency flare with an initial velocity of 35 meters per second. The height of the flare in meters can be modeled by h(t)=−5t2 + 35t, where t represents the number of seconds after the launch. How long will it take the flare to get to 30 meters?
Remember to only enter a number. Also, you will get two answers--I want to know when it will first get to 30 meters.
Answer:
So it will reach the 30 meter mark at 1.7 seconds
Step-by-step explanation:
Find the radius of convergence of the series. \[ \sum_{n=k}^{\infty}(-1)^{n} \frac{\left(x+10^{n / 2}\right.}{28^{p r}} \]
The radius of convergence is 28pr and the interval of convergence is [-28pr, 28pr].
In order to find the radius of convergence of the series, we will use the ratio test. If a series, ∑an, satisfies the following: \(limn→∞|an+1/an|=l\) (exists and is finite)Then the series converges if l < 1 and diverges if l > 1. If
l = 1, then the test is inconclusive. The given series is
\(∑n=k∞(−1)n(x+10n/2)/28pr\). Let's apply the ratio test to find the radius of convergence of the series.
\(|(an+1)/(an)| = |(−1)n+1(x+10(n+1)/2)/28pr|/|(−1)n(x+10n/2)/28pr|\) Note that the absolute value of the denominator will always be 1 because \((-1)^n\) is either 1 or -1.
Hence, we can simplify the above expression to:\(|(x + 10(n + 1)/2)/28pr|\) Let l be the limit of the above expression as n approaches infinity. Then, \(|x/28pr + 10(n + 1)/2(28pr)|/|10n/2(28pr)|=|x/28pr + 10/2(28pr)(n +\) \(1)/10/2(28pr)n||x/28pr + 5/28pr(n + 1)/n|limn→∞|x/28pr + 5/28pr(n + 1)/n| = |x/28pr|\) Therefore, the radius of convergence is 28pr and the interval of convergence is [-28pr, 28pr].
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For every 2 girls in Mr Hegarty's class there is 1 boy. What is the ratio of boys to girls in the class?
Give your answer in its simplest form.
Answer:
1 : 2
Step-by-step explanation:
1 boy for every 2 girls
1 : 2
Answer:
2:1
Step-by-step explanation:
bc of 2 girls there 1 boy so every 2g there 1b so the ratio is 2:1
What is the equation of the line in slope-intercept form?
A.) y = x + 8
B.) y = x - 8
C.) y = 8x + 8
D.) y = 8x - 8
Please help me with this question.
Answer:
TrueTrueStep-by-step explanation:
Dilation does not affect angles or the direction of lines. The lines of a dilated figure will be parallel to the original, unless they go through the center of dilation.
Line CD does not go through P, so C'D' is distinct and parallel to it (True).
Angles B and B' are congruent. (True)
Your friend calculates the distance between points Q(1,5) and R(3,8), as shown below. What is his error?
The distance between two points is the number of units between them.
The distance between Q and R is 3.61 units
It is impossible to determine your friend's error, because the steps are not given in the question. So, I will calculate the distance between Q and R, instead.
The distance (d) between two points is:
\(d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\)
So, the distance QR is:
\(QR = \sqrt{(1 - 3)^2 + (5 - 8)^2}\)
\(QR = \sqrt{(- 2)^2 + (- 3)^2}\)
Evaluate exponents
\(QR = \sqrt{4 +9}\)
\(QR = \sqrt{13}\)
Take square root of 13
\(QR = 3.61\)
Hence, the distance between Q and R is 3.61 units
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A baker is weighing her ingredients to make cheese bread. She has 710 grams of flour, 225 grams of sugar, and 400 grams of cheese. What is the total weight in kilograms?
133.5 kilograms
13.35 kilograms
1,335 kilograms
1.335 kilograms
Answer:
1.335 kg
Step-by-step explanation:
710 + 225 + 400 = 1335 grams
1 kilogram = 1000 grams So:
1335/1000 = 1.335 kilograms
Answer:
1.335 kilograms
Step-by-step explanation:
I got it right on my quiz
19. The unit digit of (32 x 65)º is
a) 2
b) 5
c) O
d) 1
J
Let U = {(x, y, z) € R^3 | x + 2y – 3z =0}. a) (2pt) Show directly (by verifying the conditions for a subspace) that U is a subspace of R^3. You may not invoke results learned in class or from the notes. b) (2pts) Find a basis for U. You must explain your method. c) (1pt) Using your answer from part b) determine Dim(U).
a) U is subspace of R^3.
b) The set {(3, -2, 0), (0, 1/2, 1)} is a basis for U.
c) 2.
a) To show that U is a subspace of R^3, we need to verify the following three conditions:
i) The zero vector (0, 0, 0) is in U.
ii) U is closed under addition.
iii) U is closed under scalar multiplication.
i) The zero vector is in U since 0 + 2(0) - 3(0) = 0.
ii) Let (x1, y1, z1) and (x2, y2, z2) be two vectors in U. Then we have:
x1 + 2y1 - 3z1 = 0 (by definition of U)
x2 + 2y2 - 3z2 = 0 (by definition of U)
Adding these two equations, we get:
(x1 + x2) + 2(y1 + y2) - 3(z1 + z2) = 0
which shows that the sum (x1 + x2, y1 + y2, z1 + z2) is also in U. Therefore, U is closed under addition.
iii) Let (x, y, z) be a vector in U, and let c be a scalar. Then we have:
x + 2y - 3z = 0 (by definition of U)
Multiplying both sides of this equation by c, we get:
cx + 2cy - 3cz = 0
which shows that the vector (cx, cy, cz) is also in U. Therefore, U is closed under scalar multiplication.
Since U satisfies all three conditions, it is a subspace of R^3.
b) To find a basis for U, we can start by setting z = t (where t is an arbitrary parameter), and then solving for x and y in terms of t. From the equation x + 2y - 3z = 0, we have:
x = 3z - 2y
y = (x - 3z)/2
Substituting z = t into these equations, we get:
x = 3t - 2y
y = (x - 3t)/2
Now, we can express any vector in U as a linear combination of two vectors of the form (3, -2, 0) and (0, 1/2, 1), since:
(x, y, z) = x(3, -2, 0) + y(0, 1/2, 1) = (3x, -2x + (1/2)y, y + z)
Therefore, the set {(3, -2, 0), (0, 1/2, 1)} is a basis for U.
c) Since the basis for U has two elements, the dimension of U is 2.
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Graph the equation after rewriting it in slope-intercept form. 9x+3y=18
The equation of a line in the slope intercept form is expressed as
y = mx + c
The given equation is
9x + 3y = 18
We would rearrange it so that it takes the form of the slope intercept equation shown above.
We would divide both sides of the equation by 3, we have
9x/3 + 3y/3 = 18/3
3x + y = 6
Subtracting 3x from both sides of the equation, we have
3x - 3x + y = 6 - 3x
y = 6 - 3x
The slope intercept form is
y = - 3x + 6
To plot the graph, we would substitute values of x into the equation to get corresponding y values. These x and y values would be plotted on the x and y coordinates of the graph. We have
For x = - 2, y = 6 - 3(- 2) = 6 + 6 = 12
For x = - 1, y = 6 - 3(-1) = 6 + 3 = 9
For x = 0, y = 6 - 3(0) = 6 - 0 = 6
For x = 1, y = 6 - 3(1) = 6 - 3 = 3
For x = 2, y = 6 - 3(2) = 6 -6 = 0
The graph is shown below