Answer:
5,d
6,e
7,b
8,f
9,c
10,a
The radius is of a circle is 7 kilometers what is the area of a sector bounded by a 180 arc
Answer:
77 square units
Step-by-step explanation:
Taking π as 22/7
=>(180/360)×(22/7)×(7)^2
=>1/2×22×7
=>11×7
=>77
In 15 words or fewer, will dividing the two polynomials in the table produce another polynomial? Why or why not?
Dividing two polynomials may produce another polynomial only when the divisor has a lower degree than the dividend. Otherwise, it will generally result in a rational function.
No, dividing two polynomials may not result in another polynomial. It can produce a rational function.
A polynomial is an algebraic expression consisting of terms with non-negative integer exponents. When two polynomials are divided, the result is not always a polynomial.
If the degree of the polynomial being divided (dividend) is higher than the degree of the polynomial dividing (divisor), then the result can be a polynomial with a lower degree. However, if the degree of the divisor is equal to or greater than the degree of the dividend, the result will generally be a rational function, which is a ratio of two polynomials.
A rational function has the form P(x)/Q(x), where P(x) and Q(x) are polynomials and Q(x) is not equal to zero. The division can introduce terms with negative or fractional exponents, making the result a rational function rather than a polynomial.
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Endure all, a manufacturer of batteries claims that the lifetime of their batteries is normally distributed with a mean of 500 hours and a standard deviation of 40 hours. What is the probability that an endure all battery selected at random will last more than 550 hours?.
An Endure chosen randomly the likelihood of any battery lasting longer than 550 hours is 10.56%.
What does z score mean?An indicator of how nearly a value relates to the mean of either a set of values is called a Z-score.Z-score is quantified using standard deviations relative to the mean.The data point's entire score is equal to the mean score when the Z-score is 0.The amount that the raw score departs first from mean is determined using the Z score.These steps are used to determine the Z score:
z = (x - μ)/σ
As mentioned in question-
x > 550 and μ = 500, σ = 40:
z = 550 - 500 / 40
z = 1.25
Obtain the p-value from normal distribution chart,
P(z > 1.25) = 1 - P(z < 1.25)
P(z > 1.25) = 1 - 0.8944
P(z > 1.25) = 0.1056
Thus, an Endure chosen at random the likelihood of any battery lasting longer than 550 hours is 10.56%.
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QUESTION 4
1/2x + 5= 10
What's x?
Answer:
10
Step-by-step explanation:
—Math½ x + 5 = 10
½ x = 10 – 5
x = 5 x 2
x = 10
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Match the terms to their definition. 1 . a single term; multiple terms connected by an addition or subtraction sign constant 2 . the difference between any two consecutive terms of an arithmetic sequence equation 3 . a set of numbers where the difference is the same between any two consecutive terms arithmetic sequence 4 . the ratio of a term to the previous term in a geometric sequence common difference 5 . a circle filled in to show that the point is a part of the solution set expression 6 . a mathematical statement that shows two expressions are equal using an equal sign common ratio 7 . a number; a term containing no variables closed circle
Here is how the terms relate to their definitions:
1. Constant - a single term; multiple terms connected by an addition or subtraction sign
2. common difference - the difference between any two consecutive terms of an arithmetic sequence
3. arithmetic sequence - a set of numbers where the difference is the same between any two consecutive terms
4. common ratio - the ratio of a term to the previous term in a geometric sequence
5. closed circle - a circle filled in to show that the point is a part of the solution set
6. equation - a mathematical statement that shows two expressions are equal using an equal sign
7. term - a number; a term containing no variables
Therefore, the word that matches the definition of "consecutive" is a common difference.
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Two friends are sharing 5 banana muffins. How much muffin will each person get, if each gets the same amount?
nb32193 answer this please
Answer:
2.5 muffin
Step-by-step explanation:
5/2
=2.5 muffin
What does the "quantify the energetic
cost of vertical movement" mean?
Answer:
ov 24, 2010 · They attached animal-borne motion sensors, accelerometers, to the free-swimming whale sharks to measure their swimming activity and vertical movement, which allowed them to quantify the energetic ...
Step-by-step explanation:
In Chi-square analysis, we should combine categories if a. if degrees of freedom is 5 b. expected probabilities are less than 5. c. expected frequencies are less than 5. d. if degrees of freedom is 1
In Chi-square analysis, we should combine categories if the expected frequencies are less than 5. The correct option is c.
When conducting a Chi-square test, we compare the observed frequencies in different categories with the expected frequencies. If the expected frequencies in any category are less than 5, it can lead to inaccurate or unreliable results.
Therefore, to ensure the validity of the analysis, it is recommended to combine categories with expected frequencies below 5 into a single category.
Combining categories helps to increase the expected frequencies, ensuring that the assumptions of the Chi-square test are met.
By combining categories, we can achieve a higher expected frequency, which improves the reliability of the test and reduces the chances of obtaining misleading or inaccurate results. The correct option is c.
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The 2th term of The A.P is 7 and 4th term is 28 Find The Common difference and The first term.
help me please
Answer:
d = 10.5, a₁ = - 3.5
Step-by-step explanation:
The n th term of an AP is
\(a_{n}\) = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₂ = 7 and a₄ = 28 , then
a₁ + d = 7 → (1)
a₁ + 3d = 28 → (2)
Subtract (1) from (2) term by term to eliminate a₁
2d = 21 ( divide both sides by 2 )
d = 10.5 ← common difference
Substitute d = 10.5 into (1)
a₁ + 10.5 = 7 ( subtract 10.5 from both sides )
a₁ = - 3.5 ← first term
What does SSR represent in regression analysis? Multiple choice question. The amount of variation in X that is explained. The amount of variation in Y that is left unexplained. The amount of variation in X that is left unexplained. The amount of variation in Y that is explained.
SSR represents the amount of variation in Y that is explained in regression analysis.
It is also known as the sum of squares due to regression, which measures the difference between the predicted values and the actual values of the dependent variable (Y).
The higher the value of SSR, the better the fit of the regression line to the data. This is because a higher SSR indicates that more of the variation in Y is being explained by the independent variable (X).
Therefore, the correct answer to the multiple choice question is "The amount of variation in Y that is explained."
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Which set of ratios could be used to determine if one triangle is a dilation of the other? A triangle has side lengths of 4, 6, 8.5. A second triangle has side lengths of 6, 9, 12.5. StartFraction 4 Over 6 EndFraction = StartFraction 6 Over 9 EndFraction = StartFraction 8.5 Over 12.5 EndFraction StartFraction 6 Over 4 EndFraction = StartFraction 6 Over 9 EndFraction = StartFraction 8.5 Over 12.5 EndFraction StartFraction 4 Over 6 EndFraction = StartFraction 9 Over 6 EndFraction = StartFraction 8.5 Over 12.5 EndFraction StartFraction 4 Over 6 EndFraction = StartFraction 8.5 Over 9 EndFraction = StartFraction 6 Over 12.5 EndFraction
Answer:
\(A.\ \frac{4}{6} = \frac{6}{9} = \frac{8.5}{12.5}\)
Step-by-step explanation:
Given
Let the two triangles be A and B
Sides of A: 4, 6 and 8.5
Sides of B: 6, 9 and 12.5
Required
Which set of ratio determines the dilation
To determine the dilation of a triangle over another;
We simply divide the side of a triangle by a similar side on the other triangle;
From the given parameters,
A ------------------B
4 is similar to 6
6 is similar to 9
8.5 is similar to 12.5
Ratio of dilation is as follows;
\(Dilation = \frac{4}{6}\)
\(Dilation = \frac{6}{9}\)
\(Dilation = \frac{8.5}{12.5}\)
Combining the above ratios;
\(Dilation = \frac{4}{6} = \frac{6}{9} = \frac{8.5}{12.5}\)
From the list of given options, the correct option is A,
Answer:
a
Step-by-step explanation:
ABCD represents the plan of a field.
There is a path across the field that
starts at a
is the same distance from BA and BC.
Using ruler and compasses, show the position of the path.
A quadrilateral is a polygon with 4 number of sides and 4 vertices. The shape of the field is either square or a rhombus.
What is a quadrilateral?A quadrilateral is a polygon with 4 number of sides and 4 vertices. A few examples of a quadrilateral are square, rectangle, rhombus, parallelogram, etc.
Given that ABCD represents a field, therefore, the field is a quadrilateral. Now, as the path is going between the field. And starts from A therefore, it will end at C.
Since It is the same distance from BA and BC. Therefore, it will be the diagonal of the quadrilateral. And as BA and BC are consecutive sides and are of the same length.
Hence, the shape of the field is either square or a rhombus.
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3x = 1/9 what is x
Please respond quick
Under a given correspondence two triangles are congruent if the three sides of the one are equal to the three corresponding sides of the other
The above is known as
(a)SSS congruence of two triangles
(b)SAS congruence of two triangles
(c)ASA congruence of two triangles (d)RHS congruence of two right-angled triangles
Answer:
(a)SSS congruence of two triangles
Step-by-step explanation:
Congruence is a relationship that expresses the similarity between two triangles. The relationship between two triangles with their three sides being congruent is termed as the side-side-side (SSS) congruence property of the triangles. This implies that the two triangles are similar with respect to their three sides.
In corollary, since the three sides of the two triangles are congruent, then the three angles respectively would be congruent.
For altitudes up to 36,000 feet, the relationship between ground temperature and atmospheric temperature can be described by the formula t = −0.0035a + g, in which t is the atmospheric temperature in degrees Fahrenheit, a is the altitude, in feet, at which the atmospheric temperature is measured, and g is the ground temperature in degrees Fahrenheit. Solve the equation for a. If the atmospheric temperature is −20.2 °F and the ground temperature is 40 °F, what is the altitude?
The equation for a is a =.
If the atmospheric temperature is −20.2 °F and the ground temperature is 40 °F, then
a =
feet.
Answer:
40.0707
Step-by-step explanation:
because you multiply -0.0035 (-20.2) + 40= 40.0707
evaluate the definite integral. use a graphing utility to verify your result. 6 1 49 − x2 0 dx
To evaluate the definite integral ∫[0,6] (49 - x^2) dx, we can apply the rules of integration. The antiderivative of 49 - x^2 with respect to x is (49x - (x^3)/3).
Using the Fundamental Theorem of Calculus, we can evaluate the definite integral by substituting the upper and lower limits of integration into the antiderivative:
∫[0,6] (49 - x^2) dx = [49x - (x^3)/3] evaluated from x = 0 to x = 6
Substituting the limits of integration:
[49(6) - (6^3)/3] - [49(0) - (0^3)/3]
= [294 - 72] - [0 - 0]
= 222
Therefore, the value of the definite integral ∫[0,6] (49 - x^2) dx is 222.
To verify this result using a graphing utility, one can graph the function f(x) = 49 - x^2 and use the integral feature to calculate the definite integral from 0 to 6. The result should match the evaluated value of 222.
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Two very long, parallel wires are separated by d = 0.065 m. The first wire carries a current of I1 = 0.65 A. The second wire carries a current of I2 = 0.35 A.
1) Express the magnitude of the force between the wires per unit length, f, in terms of I1, I2, and d.
2)Calculate the numerical value of f in N/m.
3)Is the force repulsive or attractive?
4) Express the minimal work per unit length needed to separate the two wires from d to 2d.
5)Calculate the numerical value of w in J/m.
1. The work magnitude of the force between the wires per unit length, f, can be expressed using Ampere's Law:
f = μ₀ * I₁ * I₂ / (2πd)
2. The numerical value of f is 2 × 10⁻⁶ N/m.
3. Since the currents I₁ and I₂ are both positive, the force between the wires will be attractive.
4. The minimal work per unit length needed to separate the two wires from d to 2d can be calculated using the equation:
W = f * (2d - d) = f * d.
5. The numerical value of the minimal work per unit length needed to separate the two wires from d to 2d is 1.3 × 10⁻⁷ J/m.
What is Ampère's law?Ampère's law, one of the fundamental correlations between electricity and magnetism, quantifies the relationship between an electric field's changing magnetic field and the electric current that creates it.
1. The work magnitude of the force between the wires per unit length, f, can be expressed using Ampere's Law:
f = μ₀ * I₁ * I₂ / (2πd),
where μ₀ is the permeability of free space, I₁ and I₂ are the currents in the wires, and d is the separation between the wires.
2. To calculate the numerical value of f in N/m, we need to substitute the given values into the formula:
μ₀ = 4π × 10⁻⁷ T·m/A (permeability of free space)
f = (4π × 10⁻⁷ T·m/A) * (0.65 A) * (0.35 A) / (2π * 0.065 m)
Simplifying:
f = 2 * 10⁻⁶ N/m
Therefore, the numerical value of f is 2 × 10⁻⁶ N/m.
3. The force between the wires is attractive when the currents flow in the same direction and repulsive when the currents flow in opposite directions. In this case, since the currents I₁ and I₂ are both positive, the force between the wires will be attractive.
4. The minimal work per unit length needed to separate the two wires from d to 2d can be calculated using the equation:
W = f * (2d - d) = f * d.
5. Substituting the value of f (2 × 10⁻⁶ N/m) and d (0.065 m) into the equation, we get:
W = (2 × 10⁻⁶ N/m) * (0.065 m)
Simplifying:
Work = 1.3 × 10⁻⁷ J/m
Therefore, the numerical value of the minimal work per unit length needed to separate the two wires from d to 2d is 1.3 × 10⁻⁷ J/m.
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a survey of 395 children given at a local elementary school showed that 175 like chocolate ice cream, 125 like pistachio ice cream, and 170 do not like chocolate or pistachio ice cream. how many children like at least one kind of ice cream mentioned in the survey?
The number of children who like both pistachio and chocolate ice cream is 73.
Here we have to find at least one kind of ice cream liked by the children.
It is given that the total number of children is 395. The number of children who don't like any ice cream is 170.
So we get the number of students who like one or both the ice cream is 395 - 170 = 225.
Here it is provided that 123 children like pistachio ice cream and 175 children like chocolate ice cream.
So the total number of children who like pistachio and chocolate ice cream is 175+ 123 = 298. Which cannot be greater than 225.
So the number of children who like both ice creams is 298 - 225 = 73.
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what is 1 over 2 multiplied by 1 over 5?
Answer:
i think its 1/10 or 1 over 10
Step-by-step explanation:
Answer:
1 over 10
Step-by-step explanation:
1×1 = 1 (multiply numerator)
2×5 = 19 ( multiply denominator)
The high school soccer team can have no more than 22 players on the roster. Write and solve an inequality finding the numbers of players the coach may chose if the coach already has 13 players
The inequality that can be used to find the numbers of players the coach may chose if the coach already has 13 players is x ≤ 9.
An inequality is a mathematical statement that compares the value of two expressions using one of the following symbols: < (less than), > (greater than), ≤ (less than or equal to), ≥ (greater than or equal to), ≠ (not equal to).
Inequalities are used to express relationships between numbers and can be used to describe constraints or limitations in real-world problems. They can also be used to define regions or sets of values that satisfy certain conditions. Inequalities can be solved by manipulating the expressions and isolating the variable on one side of the inequality symbol. The solution of an inequality is a set of values that make the inequality statement true.
Let x be the number of additional players the coach may choose.
We can write the inequality as:
13 + x ≤ 22
Subtract 13 from both sides:
x ≤ 22 - 13
x ≤ 9
Hence, the coach may choose between 0 and 9 additional players.
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help w/ this .. will mark brainliest
can someone please help me with this page? it would be very greatly appreciated! thanks!
Answer:
x=b6+y
Step-by-step explanation:
Your company requires its employees to work between 10 a.m. and 3 p.m. each day, but employees can decide whether they will work their additional hours before or after this time period. What is this arrangement called in your textbook
In the textbook, this arrangement is referred to as "flextime" or "flexible working hours."
Flextime is a work arrangement that allows employees to have control over their work schedule within certain core hours. In this case, the core hours are between 10 a.m. and 3 p.m., during which all employees are required to be present at work. However, employees have the flexibility to choose their additional working hours either before or after the core hours.
Flextime offers employees the freedom to adjust their work schedule to accommodate personal obligations, preferences, or other commitments outside of work. It recognizes that individuals have different peak productivity hours and work-life balance needs. By allowing employees to choose their additional working hours, it promotes autonomy and can contribute to increased job satisfaction and work-life integration.
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Hakeem went shopping for a new pair of sneakers because of a sale. The store was offering a 40% discount. What number should he multiply the prices on the tags by to find the price he would have to pay, before tax, in one step?
Answer: 60% or 0.6
Step-by-step explanation:
A discount simply means the amount that is deducted from the normal cost of a good or service.
In the question above, the store was offering 40% as discount, this means that he'll only pay 60% of the price of the good. Note that (100% - 40% = 60%).
Therefore, the number that he should multiply the prices on the tags by to find the price he would have to pay will be 60% = 0.6.
Zoe bought stock in a company two years ago that was worth xx dollars. During the first year that she owned the stock, it increased by 23%. During the second year the value of the stock increased by 24%. Write an expression in terms of xx that represents the value of the stock after the two years have passed.
The expression of the current value of the stock is 1.5252x
How to determine the expression of the value of the stock?From the question, we have the following parameters that can be used in our computation:
Initial value = x
Year 1 = Increase by 23%
Year 2 = Increase by 24%
The current value of the stock is then calculated as
Current value = Initial value * (1 + Year 1) * (1 + Year 2)
Substitute the known values in the above equation, so, we have the following representation
Current value = x *(1 + 23%) * (1 + 24%)
So, we have
Current value = x *1.5252
Lastly, we have
Current value = 1.5252x
Hence, the expression is 1.5252x
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The green line below Check all that apply. A crosses the x axis B. is parallel to the x-axis O c. crosses the yaxis D D. crosses the origin I E. is in the xy plane D F is perpendicular to the yaxis
Answer:
a, c, d, e
Step-by-step explanation:
Gas prices are typically marked up for holiday travel. If the prices are marked up 10% and the regular price is $2.45, what will be the price after the mark-up?
If Gas prices are typically marked up for holiday travel. If the prices are marked up 10% and the regular price is $2.45, the price after the mark-up is $2.70.
How to find the price after markup?Frist step is to find the marked-up price using this formula
Markup price = Markup percentage × Regular price
Let plug in the formula
Markup price = 10% × $2.45
Markup price = $0.245
Now let find the price after markup using this formula
Price after markup = Regular price + Markup price
Let plug in the formula
Price after markup = $2.45 + $0.245
Price after markup = $2.695
Price after markup = $2.70 ( Approximately)
Therefore $2.70 is the price after marked-up.
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A shopper buys cat food in bags of 3 lbs. Her cat eats 34 lb each week. How many weeks does one bag last?
Multiply your answer in the first question (the number of weeks) by 34.
a pile of 4 pairs of different shoes (i.e., 4 left shoes and 4 right shoes that make a total of 8 shoes) are present . in how many total ways can i choose 4 shoes from the pile?
There are 70 ways to choose 4 shoes from the pile of 8.
We can apply the combination formula, which is: to select 4 shoes from the pile of 8:
The combination formula is used to determine how many options there are for choosing things from a collection so that the order in which they are chosen is irrelevant. Combination, to put it simply, is the choosing of items or things from a bigger group when the order doesn't important.
\({ }^n C_k=\frac{n !}{(n-k) ! k !}\)k is the size of each permutationn is the size of the set from which elements are permutedn r are non-negative integers! is the factorial operatorwhere n is the total number of shoes (8) and k is the number of shoes we want to choose (4).
Substituting the values, we get:
\({ }^8 C_4=\frac{8!}{4!*(8-4)!}=\frac{8*7*6*5}{4*3*2*1} =70\)
Therefore, there are 70 ways to choose 4 shoes from the pile of 8.
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