Answer:
13.5
Step-by-step explanation:
just subtract everything aan keep the 13/5 and use tat
Answer:
y = 11.2
Step-by-step explanation:
Given:
The Side-Splitter Theorem states that:
JKP is any triangle
KL is drawn parallel to MN, then JK/KM = JL/LN
JK/KM = JL/LN = KL/MN
9/13.5 = (37.5 - x)/x = 7.5/y
9/13.5 = 7.5/y
y = 11.249
9/13.5 = (37.5 - x)/x
x = 22.5
both random sampling and non-random sampling allow us to use sampling distributions. group of answer choices true false
The answer for this question is false.
We know that about the sampling distribution, for this case is what is the probability that we obtain his sample this extreme?
So let's say the meanest zero here we obtained samples or Have it. That's a Z score of 2.86 from the Normal Distribution,
for example, that would be a very extreme sample. And we want to find what is the probability that we selected sample?
If the null hypothesis is true, However, what is non random means there are biases, then the bias will cause the result to be either larger or you lower than the population mean also called the population average or 'u'. Not by chance, but by human selection. So which prevents us from drawing any definitive conclusion from our results.
Hence, the answer is False.
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V=u+at u=1 a=-3 t=1/2 work out the value and of v
Answer:
v = - \(\frac{1}{2}\)
Step-by-step explanation:
Given
v = u + at ← substitute the given values for u, a, t
= 1 + ( - 3 × \(\frac{1}{2}\) )
= 1 + (- \(\frac{3}{2}\) )
= 1 - \(\frac{3}{2}\)
= \(\frac{2}{2}\) - \(\frac{3}{2}\)
= - \(\frac{1}{2}\)
Write the recursive, arithmetic and explicit formula for the nth term of the sequence:
8, 1, -6, -13,... Then find the 10th term
Recursive Formula
\(\begin{cases}a_1 = 8\\a_n = a_{n-1}-7\end{cases}\)
The top row says the first term is 8
The bottom row says that to get the nth term, we subtract 7 from the (n-1)th term. So basically we subtract 7 from each term to get the next term.
Note the subscripts tell us which term we're working with.
======================================================
Arithmetic Formula
We have a = 8 as the first term and d = -7 as the common difference.
a(n) = a + d(n-1)
a(n) = 8 + (-7)(n-1)
a(n) = 8 - 7n + 7
a(n) = -7n+15
The nth term arithmetic formula is a(n) = -7n+15
If you plug in n = 1, you should get a(n) = 8
If you plug in n = 2, you should get a(n) = 1
and so on.
=======================================================
Finding the 10th term
Plug in n = 10 to get
a(n) = -7n+15
a(10) = -7(10)+15
a(10) = -70+15
a(10) = -55
The 10th term is -55
Riya recives a 6% commission for selling newspaper ads. If she sells 15 ads for 50$ each, how much does she earn?
Riya earns $45 in commission for selling 15 newspaper ads at $50 each.
A commission is a charge or payment given to a person or group in exchange for a good or service. When selling goods or services on behalf of a corporation, sales representatives or agents are frequently compensated with commissions in the business world. For instance, a stockbroker may receive a fee for carrying out a trade on behalf of a customer, while a real estate agent may receive a commission depending on the sale price of a property they assist in selling.
Riya receives a 6% commission for selling newspaper ads, and if she sells 15 ads for $50 each, her total earnings can be calculated as follows:
Total earnings = Total sales x Commission rate
The total sales from selling 15 ads at $50 each are:
Total sales = 15 x $50 = $750
The commission rate is 6%, which can be written as 0.06 as a decimal.
Plugging these values into the formula, we get:
Total earnings = $750 x 0.06 = $45
Therefore, Riya earns $45 in commission for selling 15 newspaper ads at $50 each.
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If r+9=42 does r+9-9=42+9
Answer:
no i dont think so
Step-by-step explanation:
2/5+6/10
What is the answer
We have to make sure the denominators are equal.
10 goes into 5 evenly, so we only need to multiply one term to get a common denominator.
Multiply 2 by 2, and get 4, then we multiply 5 by 2 and get 10
Now the equation is 4/10 + 6/10
Since our denominators match, we can add the numerators.
4 + 6 = 10
That gives us the sum, which is 10/10 aka 1 whole
your welcome :) (btw can u please give brainly?)
Answer:
2/5 + 6/10 = 1
Step-by-step explanation:
first let’s change 2/5 so it has the same denominator as 6/10.
2/5 * 2/2 = 4/10
now add
4/10 + 6/10 = 1
Please help with this i need this quick
Answer:
x = 11.0
Step-by-step explanation:
Since this is a right triangle, we can find the measure of x using one of the trigonometric ratios.
If we allow ∠A to represent the reference angle, we see that BC is the opposite side and AB is the hypotenuse. Thus, we can use the sine ratio, which is sin (reference angle) = opposite/hypotenuse.We can plug in everything into the sine ratio and solve for x:sin (27) = BC / AB
sin (27) = 5 / x
x * sin (27) = 5
x = 5 / sin (27)
x = 11.01344632
x = 11.0
Some molecules needed for survival cannot be synthesized by the cell but instead must be obtained from the environment. These types of molecules include vitamins and amino acids and are collectively called ______ ______.
Some molecules which cannot be synthesized by cell but must be obtained from environment, then these types of molecules include vitamins and amino acids and are known as growth factors.
The "Growth-factors" are essential for various biological processes, including cell growth, development, and repair. They act as signaling molecules that bind to specific receptors on cells, initiating intracellular signaling pathways and triggering specific cellular responses.
By providing these molecules, the environment supports the cell's ability to function properly and carry out vital processes necessary for growth, development, and overall survival.
Obtaining growth factors from the environment becomes crucial in maintaining the necessary balance of these molecules for the cell's optimal functioning.
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please help me
133÷3=?
Answer:
The answer is Forty Four Point Three recurring (44.3)
In circle OO, OP=4OP=4 and m\angle POQ=90^\circ∠POQ=90 ∘ . Find the length of \overset{\LARGE\frown}{PQ} PQ ⌢ . Express your answer as a fraction times \piπ.
According to the question the length of \(\overset{\LARGE\frown}{PQ}PQ⌢\) is equal to \(4\times\pi4\times\pi\), or 4π.
What is length?Length is a measure of distance between two points. It is a dimension of a physical quantity and is usually measured in units such as meters, inches, feet, yards, kilometers, or miles. Length is used to measure the size of objects, the distance between two points, or the magnitude of a certain quantity. Length is a fundamental concept in mathematics, physics, and engineering, and is essential for understanding how these fields work.
The triangle OPQOPQ is a right triangle since m∠POQ=90∘∠POQ=90 ∘ . By the Pythagorean Theorem, we have that PQPQ is equal to the square root of OP2−PQ2OP^2-PQ^2. Since OP=4OP=4, we can substitute that in to get:
\(PQ=\sqrt{4^2-PQ^2}=\sqrt{16-PQ^2}PQ= 4 −PQ2\) .
We can solve for PQPQ by squaring both sides to get 16−PQ2=PQ2⟹PQ2=16PQ2=16 ⟹ PQ2=16. Thus, the length of \(\overset{\LARGE\frown}{PQ}PQ⌢\) is equal to the square root of 16, or 4.
Therefore, the length of \(\overset{\LARGE\frown}{PQ}PQ⌢\) is equal to \(4\times\pi4\times\pi\), or 4π.
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The length of PQ PQ is \(\sqrt{16} \ or\ 4.\)
The length of PQ PQ is \(4\times\ \pi 4\times \pi \ or\ 4\pi\)
What is the length of a circle?A circle is a round object with no corners or edges. A circle is a closed form, a two-dimensional shape, and a curved shape in geometry. The circumference of a circular is the distance around its circumference. The diameter is the measure across a circle through its centre.
The diameter is the length of the line passing through the centre and touching two spots on the circle's edge. Diameter is the total length of the circle measured from the edge to the middle and back again.
Since m∠POQ=\(90^{0}\) ∠POQ=\(90^{0}\), the triangle OPQ OPQ is a right triangle. The Pythagorean Theorem tells us that
PQ PQ is equivalent to \(OP^2-PQ^2\ OP^2-PQ^2\), squared.
We can replace that in to get: since OP=4 OP=4.
\(PQ=\sqrt{4^2-PQ^2} \\\\=\sqrt{16-PQ^2}\)
\(PQ=4PQ^2\)
We can solve for PQPQ by squaring both sides to get
\(16-PQ^2=PQ^2\\\\PQ^2=16PQ^2=16\\\\PQ^2=16\)
Thus, the length of PQPQ is equal to the square root of 16, or 4.
Therefore, the length of PQPQ is equal to \(4 \times\pi 4 \times\pi\) or \(4\pi\).
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A figure is multiplied by a scale factor of 1/3. Did the figure get smaller or larger? How do you know?
I will give Brainiest answer
Answer:
Smaller
Step-by-step explanation:
When you multiply something by 1/3, basically what you are doing is multiplying that thing by one and dividing it by 3.
To put it in a better perspective, let's say you have something that is 5 inches long and you multiply it by a scale factor of 1/3. The equation would be: (5*1)/3.
*Please mark brainliest answer
the answers options.
1. -2
2. -1/2
3. 1/2
4. 2
Answer:
2. -1/2
Step-by-step explanation:
it goes down 1 over 2
Example 3: Rough Sketch Solve the following inequality: 3x^2−5x+1>0. Before solving this inequality, determine the following and submit your answers in the table below. a. Does the graph open upward or downward? b. How many real roots does the quadratic have? c. List the real root(s) of the quadratic in exact form. If more than one exists, separate your answers with a comma and no spaces. If no real root exists, report DNE.
a. The graph of the quadratic equation opens upward.
b. The quadratic equation has two real roots.
c. The real roots of the quadratic equation are (5 + √13)/6 and (5 - √13)/6.
To solve the inequality 3x^2 - 5x + 1 > 0, we need to determine the nature of the quadratic equation and its roots.
a. The graph of the quadratic equation y = 3x^2 - 5x + 1 opens upward because the coefficient of x^2 is positive (3 > 0).
b. To find the number of real roots, we can look at the discriminant (D) of the quadratic equation. The discriminant is given by D = b^2 - 4ac, where a, b, and c are the coefficients of x^2, x, and the constant term, respectively. In this case, a = 3, b = -5, and c = 1. Substituting these values into the formula, we have:
D = (-5)^2 - 4(3)(1)
D = 25 - 12
D = 13
Since the discriminant (D) is positive (D > 0), the quadratic equation has two distinct real roots.
c. To find the real roots of the quadratic equation, we can use the quadratic formula. The quadratic formula states that if a quadratic equation is of the form ax^2 + bx + c = 0, the roots can be found using the formula:
x = (-b ± √(b^2 - 4ac))/(2a)
In this case, the quadratic equation is 3x^2 - 5x + 1 = 0. Substituting the values into the quadratic formula, we have:
x = (-(-5) ± √((-5)^2 - 4(3)(1)))/(2(3))
x = (5 ± √(25 - 12))/(6)
x = (5 ± √(13))/6
Thus, the real roots of the quadratic equation 3x^2 - 5x + 1 = 0 are (5 + √13)/6 and (5 - √13)/6.
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Use the picture below to
# 1) Your realized income is $3,543.22/month.
determine your fixed expenses each month. How much could you save per
month if you take 25% of your discretionary monies and put it in a savings
account?
The amount you could save per month would be 25% of your discretionary money.
How much could you save per month if you take 25% of your discretionary money?Discretionary income is the money you have left over after paying taxes and necessary cost-of-living expenses.
The formula for discretionary money is: Discretionary money = Realized income - Fixed expenses. Inputting data, we have: Discretionary money = $3,543.22 - Fixed expenses
Amount to be saved = 25% of discretionary money
Amount to be saved = 0.25 * (Realized income - Fixed expenses)
Therefore, the amount savable is calculated as 0.25 times the difference between your realized income and fixed expenses.
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Find the equilibrium price and quantity for each of the following pairs of demand and supply functions. a. Q=10-2P b. Q=1640-30P C. Q = 200 -0.2P Q² =5+3P Q² = 1100+30P Q² = 110+0.3P Q² = 5000+ 0.
The equilibrium price and quantity for each pair of demand and supply functions are as follows:
a. Q = 10 - 2P
To find the equilibrium, we set the quantity demanded equal to the quantity supplied:
10 - 2P = P
By solving this equation, we can determine the equilibrium price and quantity. Simplifying the equation, we get:
10 = 3P
P = 10/3 ≈ 3.33
Substituting the equilibrium price back into the demand or supply function, we can find the equilibrium quantity:
Q = 10 - 2(10/3) = 10/3 ≈ 3.33
Therefore, the equilibrium price is approximately $3.33, and the equilibrium quantity is also approximately 3.33 units.
b. Q = 1640 - 30P
Setting the quantity demanded equal to the quantity supplied:
1640 - 30P = P
Simplifying the equation, we have:
1640 = 31P
P = 1640/31 ≈ 52.90
Substituting the equilibrium price back into the demand or supply function:
Q = 1640 - 30(1640/31) ≈ 51.61
Hence, the equilibrium price is approximately $52.90, and the equilibrium quantity is approximately 51.61 units.
In summary, for the demand and supply functions given:
a. The equilibrium price is approximately $3.33, and the equilibrium quantity is approximately 3.33 units.
b. The equilibrium price is approximately $52.90, and the equilibrium quantity is approximately 51.61 units.
In the first paragraph, we summarize the steps taken to determine the equilibrium price and quantity for each pair of demand and supply functions. We set the quantity demanded equal to the quantity supplied and solve the resulting equations to find the equilibrium price. Substituting the equilibrium price back into either the demand or supply function allows us to calculate the equilibrium quantity.
In the second paragraph, we provide the specific calculations for each pair of functions. For example, in case a, we set Q = 10 - 2P equal to P and solve for P, which gives us P ≈ 3.33. Substituting this value into the demand or supply function, we find the equilibrium quantity to be approximately 3.33 units. We follow a similar process for case b, setting Q = 1640 - 30P equal to P, solving for P to find P ≈ 52.90, and substituting this value back into the function to determine the equilibrium quantity of approximately 51.61 units.
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a child-care center has 200 feet of fencing to enclose two adjacent rectangular safe play areas (of equal size). find the dimensions that will produce the maximum enclosed area. 5
The dimensions that will produce the maximum enclosed area for two adjacent rectangular safe play areas of equal size with 200 feet of fencing is 100 feet by 100 feet.
To solve this problem, use the area of a rectangle formula A = lw, where l is the length and w is the width.
Since the two play areas must be of equal size, let's call the length and width l and w, respectively.
We know that the total length of fencing is 200 feet, so l + w = 200 feet.
We can then solve for l by rearranging the equation as l = 200 - w.
We then substitute this into the area equation to get A = (200 - w)w.
To maximize the area, differentiate this equation to get A' = w - 200.
Set this to 0 and solve for w to get w = 100. Since l + w = 200, l = 100 as well.
Therefore, the maximum enclosed area is produced by dimensions of l = 100 feet and w = 100 feet.
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x + 3y = 5
x + 2y = 3
Solve by using elimination
Answer:
(x, y) = (-1, 2)
Step-by-step explanation:
The variable x has the same coefficient in both equations, so we can eliminate x by subtracting one equation from the other. We notice the y-coefficient is greater in the first equation, so we want to subtract the second equation. This will ensure that the remaining y-term has a positive coefficient. (That is not required by the elimination method, but it helps reduce mistakes.)
(x +3y) -(x +2y) = (5) -(3)
y = 2 . . . . . . . simplify
x =3 -2y = 3 -2(2) = -1 . . . . . use the second equation to find x
The solution is (x, y) = (-1, 2).
JKL is shown. Arrange the angle measures from least to greatest. K 6.8 cm 5.2 cm 2 8.9 cm
Answer:
J,L,K
Step-by-step explanation:
I hope this helps
Type an equation for the
following pattern.
x
1
2
3
4
5
y
55
90
125
160
195
y=35x+[?]
Answer:
y = 35x + 20
Step-by-step explanation:
See attached graph.
For the following set of data, find the percentage of data within 2 population standard deviations of the mean, to the nearest percent
chart is in the photo
Percentage of data within 2 population standard deviations of the mean is 68%.
To calculate the percentage of data within two population standard deviations of the mean, we need to first find the mean and standard deviation of the data set.
The mean can be found by summing all the values and dividing by the total number of values:
Mean = (20*2 + 22*8 + 28*9 + 34*13 + 38*16 + 39*11 + 41*7 + 48*0)/(2+8+9+13+16+11+7) = 32.68
To calculate standard deviation, we need to calculate the variance first. Variance is the average of the squared differences from the mean.
Variance = [(20-32.68)^2*2 + (22-32.68)^2*8 + (28-32.68)^2*9 + (34-32.68)^2*13 + (38-32.68)^2*16 + (39-32.68)^2*11 + (41-32.68)^2*7]/(2+8+9+13+16+11+7-1) = 139.98
Standard Deviation = sqrt(139.98) = 11.83
Now we can calculate the range within two population standard deviations of the mean. Two population standard deviations of the mean can be found by multiplying the standard deviation by 2.
Range = 2*11.83 = 23.66
The minimum value within two population standard deviations of the mean can be found by subtracting the range from the mean and the maximum value can be found by adding the range to the mean:
Minimum Value = 32.68 - 23.66 = 9.02 Maximum Value = 32.68 + 23.66 = 56.34
Now we can count the number of data points within this range, which are 45 out of 66 data points. To find the percentage, we divide 45 by 66 and multiply by 100:
Percentage of data within 2 population standard deviations of the mean = (45/66)*100 = 68% (rounded to the nearest percent).
Therefore, approximately 68% of the data falls within two population standard deviations of the mean.
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A recipe calls for fruit and nuts in the ratio of 8:5. If 160g of fruit is used what weight of nuts is required?
Answer:
100g of nuts
Step-by-step explanation:
Data :
Ratio 8:5
Friut is 160 g
Now
160÷8 = 20
So 1 ratio is equal to 20g
20 × 5 = 100
A cafeteria charges $1.70 for breakfast and $2.60 for lunch. On a monday, a combined 1,300 breakfast and lunches were sold for $3,087.50
create a system of eqations for ___b+___L =1,300
options for breakfast are 1, 1.7, 2.6 and the same options for lunch
Answer:1.7b+2.6l=1300
Step-by-step explanation:
Describe the differences between instrumental and terminal values and give examples of each. What role do values play in work settings?
Instrumental values refer to the means or behaviors that individuals adopt to achieve their desired goals. They are the guiding principles or traits that people consider important in their actions.
On the other hand, terminal values are the desired end states or outcomes that individuals strive to achieve. They reflect the ultimate goals or objectives that people aspire to fulfill. Examples of terminal values include happiness, success, freedom, peace, and wisdom.
Values play a crucial role in work settings as they shape individual attitudes, behaviors, and decision-making. They guide employees' choices and actions, influencing their work ethic, motivation, and job satisfaction. When employees share common values with their organization, it creates a sense of alignment and cohesion, leading to greater employee engagement and commitment.
Values also influence organizational culture, as they define the norms, beliefs, and expectations within the workplace. Organizations often establish value statements to communicate their core principles and attract employees who align with those values. In summary, values provide a framework for individuals and organizations to define their purpose, guide their actions, and create a positive work environment.
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0.194805194805...
Convert the decimal into a fraction.
Answer:
The fraction is 15/77Step-by-step explanation:
The repeated part is 194805, six digits. Let the fraction be x.
Convert as follows:
1000000x - x = 194805.194805 ... - 0.194805 ... 999999x = 194805x = 194805/999999Find prime factors of both numerator and denominator and simplify by cancelling common factors:
194805 = 3⁴*5*13*37,999999 = 3³*7*11*13*37.The common factors are:
3³*13*37When they cancel we are left with:
x = (3*5)/(7*11) x = 15/77PLEASE HELP!!!
10. Write the formula of the function f(x) whose graph is shown.
A
f(x) = 4 - 4
х
B
f(x)=
1
= - +4
X
с
f(x) = 24
D
1
f(x) =
X +4
Step-by-step explanation:
c
Hey, you are perfect the way you are, don't ever forget that. In the comments, or by answering, tell me one thing you love about yourself. Remember, you can do it!
Answer:
Thank you! I really needed this! I've been really stressed lately, and my parents are in the middle of getting a divorce so it's nice to see positive things like this. Thanks!! (:
Step-by-step explanation:
Mixture Problem
1. How much water should be added to 8 mL of 6% saline solution to reduce the concentration to 4%?
Answer:
Amount of active ingredient is 0.04(8+x)= 0.32+0.4x
---------------
EQUATION:
active ingre. + active ingre. = active ingre
0.48 + 0 = 0.32 + 0.04x
0.16 = 0.04x
x=4ML (amount of water that must be added)
The amount of water that must be added is 4 ml to 8 mL of 6% saline solution to reduce the concentration to 4%.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
It is given that:
8 mL of 6% saline solution to reduce the concentration to 4%.
Let x be the amount that should be added to 8 mL of 6% saline solution to reduce the concentration to 4%.
The amount of active ingredients is
0.04(8 + x) = 0.32 + 0.4x
Active ingredients + active ingredients = active ingredients
0.48 + 0 = 0.32 + 0.04x
0.16 = 0.04x
x=4 ml; the amount of water that must be added
Thus, the amount of water that must be added is 4 ml to 8 mL of 6% saline solution to reduce the concentration to 4%.
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2(2u+6)
solve for u
simplify
Answer:
4u+12
Step-by-step explanation:
2(2u+6)
4u+12
Answer:
4u + 12
Step-by-step explanation:
2(2u + 6)
=> 2(2u) + 2(6)
=> 4u + 12
Which fraction is equal to a whole number?
10/4
7/7
8/4
3/6
Answer:
Step-by-step explanation:
7/7 = 1 whole number
8/4 = 2 whole numbers
both equal to whole number
PLEASE I NEED YOUR HELP !
Answer:
6 units
Step-by-step explanation:
To find out how far apart two points are on a graph, we must count the spaces that separate them along the x and y axis
Counting on the x-axis, Point A is 2 units to the left of Point B
On the y-axis, Point A is 4 units below Point B.
Add the two to get the total units