Answer:
The slope of the line is -3/2
The area of the shaded sector is shown.
Answer:
3.99
Step-by-step explanation:
The total sum of central angle of circle is 360 which mean the area of the circle = (12.36 x 360)/89
A=πr^2
=> (12.36 x 360)/89 = 3.14(r^2)
r^2 = 15.92
r = 3.99
Show that the equation x ^ 3 + 6x - 10 = 0 has a solution between x = 1 and x = 2
Find the slope of the line that passes through the points (5,2) and (6,10).
A. slope= 1/8
B. slope= 8
C. slope= -1/8
D. slope = -8
Answer:
B
Step-by-step explanation:
To find the slope between any two points, we can use the slope formula:
\(\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\)
Where (x₁, y₁) and (x₂, y₂) are our two points.
So, let’s let (5, 2) be (x₁, y₁) and let (6, 10) be (x₂, y₂).
Substitute them into the slope formula to acquire:
\(\displaystyle m=\frac{10-2}{6-5}\)
Subtract and simplify:
\(\displaystyle m=\frac{8}{1}=8\)
Therefore, our slope is 8.
So, our answer is B.
(a) The percent composition of an unknown substance is 46.77% C, 18.32% O, 25.67% N, and 9.24% H. What is its empirical formula? The molar masses of C, O, N, and H are 12.01, 16.00, 14.01, and 1.01 g/mol.
The ratios are approximately 3:1:2:8, so the empirical formula is C3H8N2O. The empirical formula of the given substance is C3H8N2O.
The given percent composition of an unknown substance is 46.77% C, 18.32% O, 25.67% N, and 9.24% H. To find the empirical formula, follow the below steps:
Step 1: Assume a 100 g sample of the substance.
Step 2: Convert the percentage composition to grams. Therefore, for a 100 g sample, we have;46.77 g C18.32 g O25.67 g N9.24 g H
Step 3: Convert the mass of each element to moles. We use the formula: moles = mass/molar massFor C: moles of C = 46.77 g/12.01 g/mol = 3.897 moles
For O: moles of O = 18.32 g/16.00 g/mol = 1.145 moles
For N: moles of N = 25.67 g/14.01 g/mol = 1.832 moles
For H: moles of H = 9.24 g/1.01 g/mol = 9.158 moles
Step 4: Divide each value by the smallest value.
3.897 moles C ÷ 1.145
= 3.4 ~ 3 moles O
1.145 moles O ÷ 1.145 = 1 moles O
1.832 moles N ÷ 1.145 = 1.6 ~ 2 moles O
9.158 moles H ÷ 1.145 = 8 ~ 8 moles O
The ratios are approximately 3:1:2:8, so the empirical formula is C3H8N2O. The empirical formula of the given substance is C3H8N2O.
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A random sample of small business stock prices has a sample mean of x¯=$54. 82 and sample standard deviation of s=$8. 95. Use the Empirical Rule to estimate the percentage of small business stock prices that are more than $81. 67. Round your answer to the nearest hundredth
Using the Empirical Rule. The percentage of small business stock prices that are more than $81. 67 is 0.30%
To use the Empirical Rule, we need to assume that the distribution of small business stock prices is approximately normal.
First, we need to find the z-score for $81.67:
z = (81.67 - 54.82) / 8.95 = 2.99
Next, we can use the Empirical Rule to estimate the percentage of small business stock prices that are more than $81.67:
About 99.7% of the data falls within 3 standard deviations of the mean.
Therefore, about 0.3% of the data falls more than 3 standard deviations above the mean.
Since $81.67 is more than 3 standard deviations above the mean, we can estimate that the percentage of small business stock prices that are more than $81.67 is about 0.3%.
Rounded to the nearest hundredth, the estimated percentage is 0.30%.
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Joan made a graph modeling her income and costs for selling x loaves of zucchini bread at the farmers' market.
After examining the graph, Joan determines that she will need to sell 19 loaves of bread in order to break even. Her coworker says that she is not correct, and that Joan actually only needs to sell 18.824 loaves of bread
Is Joan's answer practical in this situation, and why or why not?
A.
Joan's answer is not practical in this situation since the graph intersects below the x-value of 19.
B.
Joan's answer is not practical in this situation since income and costs can be measured in decimal increments.
C.
Joan's answer is practical in this situation since, based on the graph, there is no reason to report a value other than 19 loaves of bread.
D.
Joan's answer is practical in this situation since her costs are more than her income until she sells more than 19 loaves of bread.
The number of bread loves to sell to break even is 19, thus, Joan is practical in this situation, so option D is correct.
What is a graph?A graph is a structure made up of a collection of things, where some object pairs are conceptually "connected." The items are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.
Given:
Joan determines that she will need to sell 19 loaves of bread in order to break even,
As you see from the graph,
The coordinate of the cost line can be determined by (0, 80) and (11, 110) and the coordinates of the income line can be determined as (0, 0) and (10, 70)
Write the equation of the line as shown below,
y - 80 = 110 - 80 / 11 - 0 (x - 0)
y - 80 = 30 / 11 x
And y = 70 / 10 x
Solve the above equation, you will get the value of x and y,
x = 18.72 and y = 7 × 18.72 = 131.06
Joan can break even when she sold 18.72 of bread, but the bread loaves can't be divided into further pieces, thus she has to sell 19 to break even.
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write two expression who sum is:
Answer:
x^2+x
Step-by-step explanation:
multipling all sides by x+1
Choose the compound inequality that can be used to solve the original inequality 13x - 5] > 10.
o -10 <13x - 51 < 10
o 3x-5>-10 or 3x - 5 < 10
O 3x-5<-10 or 3x-5 > 10
0 -10 < 3x - 5 < 10
DONE
Answer:
Step-by-step explanation:
I GIVE UP
The compound inequality is 3x - 5 < -10 or 3x - 5 > 10.
The correct option is (3).
What is Inequality?Mathematical formulae with inequalities are those in which neither side is equal. We compare two values via inequality rather than equations. A less than (or less than or equal to), larger than (or greater than or equal to), or not equal to sign is used in place of the equal sign.
As per the given data:
We are given the inequality |3x - 5| > 10.
We have to find the compound inequality using the original inequality.
For |3x - 5| > 10:
In this equation is the term inside the modulus is either greater than 10 or either lesser than -10 the inequality is satisfied.
From the above explanation:
3x - 5 > 10 or 3x - 5 < -10
The compound inequality from the original inequality is 3x - 5 < -10 or 3x - 5 > 10.
Hence, The compound inequality is 3x - 5 < -10 or 3x - 5 > 10.
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Determine the domain and range of the following relation.
x+10=y
Answer:
Domain: (-∞, ∞)
Range: (-∞, ∞)
Step-by-step explanation:
Given the linear function, x + 10 = y,
Its domain is the set of all real numbers, as represented in the interval notation, (-∞, ∞).
The same goes with range, the set of all real numbers, as represented in the interval notation, (-∞, ∞).
8. Maximize p=x+2y subject to 30x+20y
0.1x+0.4y
0.2x+0.3y
x≥0,y≥0
Answer:5.97
Step-by-step explanation.
you have to look at the question.
you have to look around the question
The very last step is you have to answer it
10.
Which is the graph of the exponential function y = 9(3)x?
Answer:
The answer is B
Step-by-step explanation:
Answer:
B is right
Step-by-step explanation:
I got 100 on my test, give the other person brainliest.
What must be a factor of the polynomial function f(x) graphed on the coordinate plane below? on a coordinate plane, a parabola opens up. it goes through (0, 3), has a vertex at (3.5, 3), and goes through (6, 0). x – 3 x – 1 x 1 x 3
The factor of the polynomial function f(x) graphed on the coordinate plane below is x - 1 , Option B is the right answer.
What is a Polynomial Function ?A function in which there is only positive exponents to the variables are called polynomial function.
The missing image is attached with the answer.
It is given in the question
on a coordinate plane, a parabola opens up. it goes through (0, 3), has a vertex at (3.5, 3), and goes through (6, 0)
The zeroes of the polynomial function are the points at which the curve will cut x axis
For the given graph,
the curve cuts the x-axis at x = 1 and x = 6
the factors will be x - 1 and x - 6
Therefore, a factor of the polynomial function f(x) graphed on the coordinate plane below is x - 1 , Option B is the right answer.
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Answer:
B
Step-by-step explanation:
B
The lines a and b intersect at point D. What is the value of z? Enter your answer in the box. Z= (5z + 8) D (4z +20)°
Answer:
To solve this problem, we need to use the fact that the sum of the angles in a triangle is 180 degrees. Since the lines a and b intersect at point D, we can form two triangles: ADB and CDB. We can label the angles as shown in the figure below.
A
/ \
/ \
/ \
/ \
/ \
/ \
B-----------D-----------C
(5z + 8)° (4z + 20)°
In triangle ADB, we have:
(5z + 8) + (4z + 20) + z = 180
Simplifying and solving for z, we get:
10z + 28 = 180
10z = 152
z = 15.2
Therefore, the value of z is 15.2 degrees.
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what is the volume of the rectangular prism?
Answer:
1 and 1/9 feet cubed
Step-by-step explanation:
You find the volume by multiplying the height by the width by the depth
So we need to find them
The height has 5 blocks so we multiply 1/3 by 5 to get 5/3
The width has 3 blocks so we multiply 1/3 by 3 to get 3/3 or 1
The depth has 2 blocks so we multiply 1/3 by 2 to get 2/3
Then to find the volume, we have to multiply all of the dimensions so:
5/3 * 1 * 2/3
= 5/3 * 2/3
= 10/9
= 1 and 1/9 ft^3
23.A chef ordered 400 pounds of potatoes in same-sized bags. Which expressions show
the number of bags and number of pounds of potatoes per bag the chef may have
ordered? Choose all that apply.
E 50 x 80
80 x 5
B 10 x 40
0 20 x 20
© 20 x 20
Answer:
10*40
80*5
20*20
Step-by-step explanation:
20*20=400
80*5=400
10*40=400
consider the following: the mayor of a town has proposed a plan for the annexation of a new community. a political study took a sample of 1,600 voters in the town and found that 69% of the residents favored annexation. using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is above 65%. what is the alternative hypothesis? group of answer choices
We can conclude that the mayor's plan for annexation is likely to be supported by the town's residents.
What do you mean by Annexation?
International law defines annexation as the forcible acquisition of one state's territory by another state, typically after the possession of the region by an occupying military force. In most cases, it is considered to be unlawful.
According to the question,
We have the given data:
A political study took a sample of 1,600 voters in the town and found that 69% of the residents favored annexation.
The conclusion of the hypothesis test is that we reject the null hypothesis that the percentage of residents who favor annexation is 65% or lower. The sample data suggests that 69% of residents favor annexation and the p-value associated with the test statistic is 0.07, which is less than the significance level of 0.05.
This indicates that the data is significantly different from the null hypothesis and that the true percentage of residents who favor annexation is likely greater than 65%.
Therefore, we can conclude that the mayor's plan for annexation is likely to be supported by the town's residents.
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In AABC, a = 230 cm, b = 310 cm and C=22°. Find the area of AABC, to the nearest
square centimeter.
Answer:
45 cm
i took the test
i need help with this
Determine whether the events E and F are independent or dependent. Justify your answer. (a) E: A person having a high GPA. F: The same person being a heavy reader of assigned course materials. A. E and F are dependent because being a heavy reader of assigned course materials can affect the probability of a person having a high GPA. B. E and F are independent because having a high GPA has no effect on the probability of a person being a heavy reader of assigned course materials. C. E and F are dependent because having a high GPA has no effect on the probability of a person being a heavy reader of assigned course materials. D. E and F are independent because being a heavy reader of assigned course materials has no effect on the probability of a person having a high GPA.
Based on the given events E and F, the correct answer is:
A. E and F are dependent because being a heavy reader of assigned course materials can affect the probability of a person having a high GPA.
What is probability?
Probability is a measure or quantification of the likelihood of an event occurring. It is a numerical value assigned to an event, indicating the degree of uncertainty or chance associated with that event. Probability is commonly expressed as a number between 0 and 1, where 0 represents an impossible event, 1 represents a certain event, and values in between indicate varying degrees of likelihood.
Justification: The events E and F are dependent because being a heavy reader of assigned course materials can potentially have an impact on a person's GPA.
If a person is diligent in reading assigned course materials, they may have a better understanding of the subject matter, leading to a higher likelihood of achieving a high GPA.
Therefore, the occurrence of event F (being a heavy reader) can affect the probability of event E (having a high GPA), indicating a dependency between the two events.
Hence, A. E and F are dependent because being a heavy reader of assigned course materials can affect the probability of a person having a high GPA.
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estimate the air pressure inside a category 5 hurricane, where the wind speed is 300 km/h. 5, where the wind speed is 300 km/h
The air pressure inside a category five hurricane with a wind speed of 300 km/h can be estimated using Bernoulli's equation.the atmospheric pressure is 20.96 atmospheres,
Bernoulli's equation states that the pressure inside the hurricane is equal to the density of the air multiplied by the wind speed squared, divided by two.
In this case, the air pressure can be calculated to be 20.96 atmospheres. density of the air can be taken to be 1.29 kg/m³ . This demonstrates that the air pressure inside a category 5 hurricane with a wind speed of 300 km/h is very high, which is why these storms are so destructive.
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I missed my math class yesterday and im not sure what to do here. Please help
Answer: ok so uhmmmm whats you math class about and what its about just study on that topic and i hope you pass if you have any tests
The length of a rectangle is 3 inches longer than twice its width, where w is the width of th
rectangle. The area of the rectangle is 90 square inches. *
Answer:
6 in and 15 inStep-by-step explanation:
Given:
l = 2w + 3A = 90 in²w = ?l = ?Area formula:
A = lwSubstitute values and solve for w:
(2w+3)w = 902w² + 3w = 902w² + 3w - 90 = 0w = (-3 ± \(\sqrt{3^2 - 4*2*(-90)}\))/2*2w = (-3 ± √729)/4w = (-3 ± 27)/4w = 6 (positive root only)The width is 6 in, find the length:
l = 2*6 + 3 = 15 inwidth be x
Length be 2x+3Now
area=Length×Breadthx(2x+3)=902x²+3x=902x²+3x-90=0On solving we will get
x=6[Take positive]Now
Length=2(6)=3=15in
If the allele frequency of the dominant allele is 0.4, what value is used for the term p^2 in the equation p^2+ 2pq + q^2 = 1?
The value is used for the term p^2 in the equation p^2+ 2pq + q^2 = 1 is 0.16.
According to the statement
we have given that the allele frequency of the dominant allele is 0.4, and we have to find that the value of p^2 in the equation p^2+ 2pq + q^2 = 1.
So, For this purpose, we know that the
The allele frequency represents the incidence of a gene variant in a population. Alleles are variant forms of a gene that are located at the same position, or genetic locus, on a chromosome.
And here
allele frequency is the 0.4 and represent the value of P.
So, The value of p is 0.4 and the
Then p^2 = (0.4)^2
so, the value becomes
p^2 = (0.4)^2
p^2 = 0.16.
So, The value is used for the term p^2 in the equation p^2+ 2pq + q^2 = 1 is 0.16.
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Which pairs of triangles are similar? check all that apply. △abc ~ △def △def ~ △ghi △ghi ~ △abc △ghi ~ △jkl △jkl ~ △abc
The pairs of triangles that are similar are △jkl ~ △abc and their corresponding angles are congruent.
The fact that, When two triangles are comparable, their corresponding sides have a proportional ratio and their corresponding angles have a congruent relationship.
In this issue
△jkl ~ △abc
Because the proportion between its corresponding sides
Verify
CA/LJ=BC/KL
replace the specified values
14/7=20/10
2=2 >>>>> is correct
so
The proportion between the corresponding sides is linear.
therefore △jkl ~ △abc are similar.
Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent.
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Answer: b & e
Step-by-step explanation: cuz
write an equation for a parabola with a vertex of (-1, -10) and a focus of (-1, -9)
Answer:
(x + 1)² = 4(y + 10)
Step-by-step explanation:
Equation of parabola:
(x - h)² = 4a(y - k)
with vertex(h, k) and focus (h, k + a)
vertex(h, k) = (-1, -10)
⇒h = -1 and k = -10
focus (h, k + a) = (-1, -9)
⇒ k + a = -9
⇒ -10 + a = -9
⇒ a = 10 - 9
⇒ a = 1
Equation of parabola:
(x - h)² = 4a(y - k):
(x - (-1))² = 4(1)(y - (-1))
= (x + 1)² = 4(y + 10)
If 6 times a certain number is added to 8, the result is 32.
Which of the following equations could be used to solve the problem?
a. 6 x + 8 = 32
b. 6 x = 32
c. 6 x = 8 + 32
d. 6( x + 8) = 32
Answer:
a) 6x + 8 = 32
Step-by-step explanation:
Forming algebraic equation:
Let the number be 'x'.
6 times x = 6 * x = 6x
6x is added to 8: 6x + 8
6x + 8 = 32
A bicycle has a listed price of $842.98 before tax. If the sales tax rate is 7.25%, find the total cost of the bicycle with sales tax included. Round your answer to the nearest cent, as necessary.
Answer:
$842.98 * 107.25/100 = $904.10
107.25% = 107.25/100
Step-by-step explanation:
The price is at 842.98 before adding the taxes of 7.25%
if that is the price then it represents 100% of the price. By adding the sales taxes the full price after taxes will be at 100%+7.25% = 107.25 % of the previous price.
The price after sales taxes will be at
$842.98 * 107.25/100 = $904.10
Amanda is building a soft triangular kennel for her dog. she has four wooden planks of lengths 2 feet, 3 feet, 5 feet, and 6 feet. determine which planks amanda should use to build the triangular-shaped kennel. enter the lengths from least to greatest. a triangular kennel made of carpet-covered planks
Amanda would use 3 planks of lengths 3 feet, 5 feet, and 6 feet.
What is a triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental shape in geometry. Triangle ABC denotes a triangle with vertices A, B, and C. In Euclidean geometry, any three non-collinear points define a unique triangle and, by extension, a unique plane.To determine which planks Amanda should use to build the triangular-shaped kennel:
To build a kennel for dog, we would try to make it the largest possible with what we have.So, we would go with the 3 longest planks: 3ft, 5ft, and 6ft.By looking at the length, we see that we could make something very close to a right triangle since we could use the 6ft as a hypotenuse, and have the two other sides as 3ft and 5 ft (6² is almost 3²+5², which equals 34).That means our corner angle would be slightly over 90 degrees.Therefore, Amanda would use 3 planks of lengths 3 feet, 5 feet, and 6 feet.
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Quartz Crusade is Abdul's favorite video game. Each level in the game is a new cave full of hidden gems. 70% of the time, Abdul completes a level on his first try. He wants to complete 3 levels today. How likely is it that Abdul will complete all of them on his first try? Abdul simulates the situation by using a computer to randomly generate 3 numbers from 1 to 10. Each time a number greater than 3 appears, it represents Abdul completing a level on his first try.
The probability of completing the levels on the first try is 0.343.
What is multiplication rule?The likelihood that two or more independent events will occur together is determined using the multiplication rule of probability. It asserts that the product of the probabilities of the two occurrences is equal to the probability of their crossing, or the likelihood that both events will occur. By multiplying the odds of each occurrence separately, the multiplication rule may be used to more than two events. According to this rule, the likelihood of each event occurring independently, i.e., independently of one another, is assumed.
The probability of completing levels on first try is given as:
P(completing all 3 levels on first try) = P(completing level 1 on first try) x P(completing level 2 on first try) x P(completing level 3 on first try)
Substituting the given values we have:
P(completing all 3 levels on first try) = 0.7 x 0.7 x 0.7 = 0.343 or approximately 34.3%
Hence, the probability of completing the levels on the first try is 0.343.
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The food company is now designing soup cans. They currently make a large can of soup that holds 24oz of soup. They would like to make a single serve can that holds only 8oz of soup. The large can has a surface area of 100.48in². What will the new single serving surface area be? Explain or show your reasoning.
The surface area of the new single-serving soup can, with a volume ratio of 24:8, will be approximately 11.164 square inches.
To determine the surface area of the new single-serving soup can, we can use the concept of ratios and proportions.
Let's assume the radius of the large can is represented by R and the radius of the single-serving can is represented by r.
The volume of a cylinder can be calculated using the formula V = πr^2h, where V is the volume, r is the radius, and h is the height.
We know that the large can has a volume of 24oz, so we have:
24 = πR^2h
Now, we need to find the height of the single-serving can. Since the large can and the single-serving can have the same height (we assume), we can set up a ratio of their volumes:
24/8 = πR^2h / πr^2h
Simplifying the equation, we have:
3 = (R^2h) / (r^2h)
Since the height cancels out, we can rewrite the equation as:
3 = R^2 / r^2
To find the ratio of the surface areas, we square both sides of the equation:
9 = (R^2 / r^2)^2
Now, we can find the surface area ratio:
100.48 / A = 9
Solving for A (the surface area of the single-serving can), we have:
A = 100.48 / 9
Calculating the value, we find that the new single-serving surface area will be approximately 11.164 in².
Therefore, the new single-serving soup can will have a surface area of approximately 11.164 square inches.
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