Which ordered pair is a solution of the equation shown? A.-3/4,- 1/2 B. 0,3/4 C.4/3, 1/2 D. 4, 3/2
pls hurry = 50 point
Answer:
the answer is b, c, d, a, respectively
Graph the solution set of the system of inequalities. 2x - 6y≤ 12 4x-2y > 8 Use the graphing tool to graph the system. Click to enlarge graph.
The graph is shown in the attached image.
Solve the problems.
The number a is less than the number b by (1)/(5) of b. By what part of a is b greater than a ?
Answer:
B is greater than A by 1/4 of A
Step-by-step explanation:
Let's use the information given in the problem to write expressions for the values of a and b:
a = b - (1/5)b = (4/5)b
b is greater than a by the difference:
b - a = b - (4/5)b = (1/5)b
To express this difference as a fraction of a, we divide by a:
(b - a)/a = ((1/5)b)/((4/5)b) = 1/4
Therefore, b is greater than a by 1/4 of a.
A person places $6860 in an investment account earning an annual rate of 2.9%, compounded continuously. Using the formula
V
=
P
e
r
t
V=Pe
rt
, where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 11 years.
9514 1404 393
Answer:
$9,437.65
Step-by-step explanation:
Fill in the given numbers and do the arithmetic.
\(V=Pe^{rt}\\\\V=\$6860\cdot e^{0.029\cdot 11}=\$6860\cdot 1.375751\\\\\boxed{V=\$9{,}437.65}\)
Calculate the probability that Cindy will get at least 48 orange Stattles in her next 14 ounce bag.
The probability is approximately 0.129 or 12.9%.
Describe probability ?Probability can also be used to describe more complex events, such as the likelihood of a stock price increasing by a certain amount in a given period of time, or the probability of a medical treatment being effective for a certain disease.
To calculate the probability that Cindy will get at least 48 orange Stattles in her next 14 ounce bag, we need to use the binomial probability formula:
P(X >= 48) = 1 - P(X < 48)
Where
X is the number of orange Stattles in a 14 ounce bag
P(X < 48) is the probability of getting less than 48 orange Stattles in a 14 ounce bag
To calculate P(X < 48), we need to use the binomial probability formula:
\(P(X = x) = (nCx) * p^x * q^{(n-x)\)
Where
n is the number of Stattles in a 14 ounce bag (we don't know this value)
x is the number of orange Stattles in a 14 ounce bag (we want to find the probability of getting less than 48)
p is the probability of getting an orange Stattle (0.4)
q is the probability of getting a non-orange Stattle (0.6)
nCx is the binomial coefficient
nCx is the binomial coefficient, which can be calculated using the formula:
nCx = n! / (x! * (n-x)!)
where ! denotes the factorial function.
We can use a cumulative binomial distribution table or a binomial calculator to find the probability of getting less than 48 orange Stattles in a 14 ounce bag. For example, using an online calculator, we find that:
P(X < 48) = 0.871
Therefore, the probability that Cindy will get at least 48 orange Stattles in her next 14 ounce bag is:
P(X >= 48) = 1 - P(X < 48) = 1 - 0.871 = 0.129
So, the probability is approximately 0.129 or 12.9%.
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A triangle has sides of length 7 centimeters, 5.6 centimeters, and 4.2 centimeters. What is the perimeter?
The perimeter of the triangle is 16.8 cm.
What is a triangle?A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane. According to the sides of a triangle rule, the lengths of any two sides of a triangle must add up to more than the length of the third side.So, the perimeter of the triangle:
Formula: P = a + b + cWhere a = 7, b = 5.6 and c = 4.2.Now, substitute the values in the formula as follows:
P = a + b + cP = 7 + 5.6 + 4.2P = 16.8Therefore, the perimeter of the triangle is 16.8 cm.
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Write an equation of a line in slope intercept form that passes through (-3, -4) and (4, 3)
Answer:
y= 1x-1
Step-by-step explanation:
i used stat edit
(Giving brainliest and 40 points)
Answer:
1360 m³
Step-by-step explanation:
To determine the volume of a compound 3D shape, divide the 3D shape into multiple 3D known shapes. Then, determine the volume of those "3D known shapes" and sum them up to determine the volume (figure).
In this figure, we can see two cuboids forming the figure. Therefore,
⇒ V (Figure) = V (Cuboid₁) + V (Cuboid₂)
The formula to determine the volume of a cuboid is the measure of the length, multiplied to the product of the width and the height.
⇒ V (Cuboid) = L × (W × H) or L × W × H
Therefore, the volume of cuboid₁ is;
⇒ V (Figure) = [L (Cuboid₁) × W (Cuboid₁) × H (Cuboid₁)] + V (Cuboid₂)
When we substitute the dimensions of the cuboid₁ , we get;
⇒ V (Figure) = [8 × 5 × 22] + V (Cuboid₂)
Which when simplified, we get;
⇒ V (Figure) = [880] + V (Cuboid₂)
The same should be done to cuboid₂. Therefore,
⇒ V (Figure) = [880] + [L (Cuboid₂) × W (Cuboid₂) × H (Cuboid₂)]
When we substitute the measures in the equation, we get;
⇒ V (Figure) = [880] + [8 × 5 × 12]
Which when simplified, we get;
⇒ V (Figure) = [880] + [40 × 12]
⇒ V (Figure) = [880] + [480]
⇒ V (Figure) = 1360 m³
Therefore, the volume of the figure is 1360 m³.
Harold is a woodworker and is interested in finding the density of two different types of wood. He bought a pine log that has a 5-inch radius and is 30 inches long. The weight of the log is approximately 42.63 pounds. He also has an oak board that is 5.5 inches wide, 1.5 inches thick and 3 feet long. The board weighs approximately 8.05 pounds.
Part A
Which shapes can you use to model the log and the board?
Answer:
log = cylinder
board = rectangular prism
Step-by-step explanation:
The log has a radius of 5 in and a length of 30 in.
This implies that the cross-section is a circle, and so it can be modeled as a cylinder.
The board has a width of 5.5 in, a height of 1.5 in and a length of 3ft.
Therefore, it can be modeled as a rectangular prism.
What is the meaning of "if \(\varphi (x)\) has no parameters \(p_{i}\) then the class C is definable"?
The meaning of the statement, "if the function has no parameters, then the class C is definable" is that if there are no parameters given then the class c can be defined with an empty set but if there are no parameters, then the class cannot be defined.
What is the meaning of the statement?The meaning of the above statement is that if no parameters are provided for this function, then the given class represented as c can be defined with an empty set that is enclosed in parameters.
Also, if the parameters are given then the class c is not defined.
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What is an example of "A one-to-one function of P onto Q is an isomorphism of P and Q "?
An example of a one-to-one function that is an isomorphism between sets P and Q is the function f: P -> Q defined as f(x) = 2x, where P and Q are the sets of integers.
How to Identify a One-to-One Function?An example of a one-to-one function that is an isomorphism between sets P and Q is the function f: P -> Q defined as f(x) = 2x, where P and Q are the sets of integers.
This function is one-to-one because for every element x in P, there is a unique element 2x in Q. It is onto because every element y in Q has a preimage x in P such that f(x) = y (e.g., y/2 = x).
Furthermore, this function preserves the group structure between P and Q, as it satisfies the properties of an isomorphism. In this case, the group structure is addition, and the function f preserves addition: f(x + y) = 2(x + y) = 2x + 2y = f(x) + f(y) for all x, y in P.
Therefore, the function f: P -> Q defined as f(x) = 2x is an example of a one-to-one function that is an isomorphism between sets P and Q.
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2x-3\(\geq\) 0
Answer:
x ≥ 1.5
Step-by-step explanation:
2x - 3 ≥ 0 ( add 3 to both sides )
2x ≥ 3 ( divide both sides by 2 )
x ≥ 1.5
Convert 22 days to weeks and days.
22 days=
Convert 454 minutes to hours and minutes.
454 minutes =
Convert 4 years and 4 months to months.
4 years and 4 months =
Convert 12 pounds and 13 ounces to ounces.
12 pounds and 13 ounces=
Answer:
22 days = 3 weeks and 1 day
454 minutes = 7 hours and 34 minutes
4 years and 4 months = 148 months
12 pounds and 13 ounces = 205 ounces
What is the value of the 3 in 8.139
The 8 is in the ones place.
The 1 is in the tenths place.
The 3 is in the hundredths place.
The 9 is in the thousandths place.
hope it helps!
Lines MN and GH are parallel. If the measure of angle 6 is 45°, what is measure of angle 4?
Answer: It will be A that is the best answers
I need help with this geometry work , can someone help me please .
the local farmers market has many different booths selling cabbage below are different advertisements for cabbage calculate the cost for 1 pound of cabbage from each booth and determine which booth is the least expensive and which is the most expensive
Answer:
Step-by-step explanation:
help me answer this please
Answer:
3,952 ft
Step-by-step explanation:
Use the sine function since you need to find the hypotenuse but know the opposite side of the angle, since sine is equal to opposite/hypotenuse.
sin8°=\(\frac{550}{c}\)
csin8°=550
c=550/sin8°
c= 3,952
ILL GIVE BRAINELST !!!!
Answer:
no comma
Step-by-step explanation:
Given rectangle BCDE below. If BF = 22, find EF.
Okay, here we have this:
Considering the provided graph, we are going to find the requested measure, so we obtain the following:
Let us remember that a rectangle besides having the properties of a parallelogram also stands out because it has congruent diagonals. So considering this we have:
BD=EC
EF=BF
EF=22
Finally we obtain that EF is equal to 22 units.
The average salary for a certain profession is $87,500. assume that the standard deviation of such salaries is $26,000. Consider a random sample of 63 people in this profession and let xbar represent the mean salary for the sample.a. What is ?
b. What is ?c. Describe the shape of the sampling distributio of ?
d. Find the z-score for the value =80,000.
e. Find P( > 80,000).
Solution :
Given data:
Mean, μ = $87,500
Standard deviation, σ = $26,000
Sample number, n = 63
a). The value of \($\mu_{x}$\) :
\($\mu_x=\mu$\)
= 87,500
b). The value of \($\sigma_x$\) :
\($\sigma_x = \frac{\sigma}{\sqrt n}$\)
\($\sigma_x = \frac{26000}{\sqrt {63}}$\)
= 3275.69
c). The shape of the sampling distribution is that of a normal distribution (bell curve).
d). The value z-score for the value =80,000.
\($z-\text{score} =\frac{\overline x - \mu}{\sigma - \sqrt{n}}$\)
\($z-\text{score} =\frac{80000-87500}{26000 - \sqrt{63}}$\)
= -2.2896
≈ -2.29
e). P(x > 80000) = P(z > -2.2896)
= 0.9890
Evaluate 4(x-3)+5x-x squared for x=2
Answer:
5
Step-by-step explanation:
I think you meant 4(x - 3) + 5x - x^2.
Substituting 2 for x, we get 4(-1) + 5(2) - (2)^2 = -1 + 10 - 4 = 5
A number is squared, and then three is added to its square. The result is 228. What is the number?
Answer:
[(15)(15) + 3] = 225
Step-by-step explanation:
Draw the net and calculate the surface area .
Hello!
surface area
= 2(4 x 2) + 2(12 x 4) + 2(12 x 2)
= 160cm²
What is the greatest common factor of 8x and 40y?; How do you solve for GCF?; What is the GCF of 24 and 36?; What is the GCF of 5 20?
The greatest common factor of 8x and 40y is 2x2.
The greatest common factor (GCF) of 8x and 40y is the largest integer that divides both numbers without any remainder. To solve for GCF, start by factoring each number into prime factors. 8x can be factored as 2x(2x2), and 40y can be factored as 5y(2x2x2x2). Then, compare the prime factors of each number, and find the greatest common factor.
The GCF of 24 and 36 is 12. To solve for GCF, start by factoring each number into prime factors. 24 can be factored as 2x2x2x3, and 36 can be factored as 2x2x3x3. Then, compare the prime factors of each number, and find the greatest common factor. The greatest common factor of 24 and 36 is 2x2x3.
The GCF of 5 and 20 is 5. To solve for GCF, start by factoring each number into prime factors. 5 can be factored as 5, and 20 can be factored as 2x2x5. Then, compare the prime factors of each number, and find the greatest common factor. The greatest common factor of 5 and 20 is 5.
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The red triangle is a dilation of the blue triangle, with a scale factor, of k=1.5
Use the hotspots to fill in the missing measurements and similarity statement
The measure of each angle and side is given above.
What is image dilation?An enlargement or reduction of a figure that preserves shape but not size.All dilations are similar to the original figure.Dilations have a center and a scale factor.Given is that the red triangle is a dilation of the blue triangle, with a scale factor of {k} = 1.5.
We can write -
57/RT = 1.5
RT = 57/1.5
RT = 38
LM/20 = 1.5
LM = 20 x 1.5
LM = 30
MN/26 = 1.5
MN = 26 x 1.5
MN = 39
∠2 = 15°
∠1 = 121°
Therefore, the measure of each angle and side is given above.
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Given the function g(x)=
3×2+5×+6
×+3
determine the equation for the slant asymptote.
Check the picture below.
True or false? In a two-column proof, the left column states your reasons.
A. True
B. False
A. True.
In a two-column proof, the left column consists of statements, which are the facts or assumptions that lead to the proof of the theorem, while the right column consists of the reasons or justifications that explain how each statement logically follows from the previous one. Therefore, the left column states your reasons is a true statement.
The answer to the student's question is True. In a two-column proof, the left column contains the statements (steps) and the right column contains the corresponding reasons (justifications).
Explanation:The answer to the question, 'True or false? In a two-column proof, the left column states your reasons', is A. True.
A two-column proof is organized into two columns. The left column contains the 'Statements' and the right column contains the corresponding 'Reasons'. The 'Statements' are the steps that lead to the conclusion of the proof, while the 'Reasons' justify each of those steps according to rules or laws of mathematics.
For example, if we want to prove that the opposite angles of a parallelogram are equal. The left column (Statements) could contain the first step 'ABCD is a parallelogram' and the right column (Reasons) would give the explanation 'Given'. Therefore, in a two-column proof, the left column does represent statements, not reasons.
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Give a pair of corresponding angles, a pair of alternate interior angles, and a pair of alternate exterior angles.
A pair of corresponding angles, alternate interior angles, and alternate exterior angles include the following:
Corresponding angles: ∠1 ≅ ∠5.
Alternate interior angles: ∠4 ≅ ∠6.
Alternate exterior angles: ∠2 ≅ ∠8
What are corresponding angles?In Mathematics, corresponding angles can be defined as a postulate (theorem) which states that corresponding angles are always congruent when the transversal intersects two (2) parallel lines:
∠1 ≅ ∠5
By applying the alternate interior angles theorem to parallel lines m and n, we have the following congruent angles:
∠4 ≅ ∠6
By applying the alternate exterior angles theorem to parallel lines m and n, we have the following congruent angles:
∠2 ≅ ∠8
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PLEASE HELP ME!! what is the answer?
Answer:
A is the answer
Step-by-step explanation:
I hope it helps