Step-by-step explanation:
I think the actual equation you meant to write was 5x⁴ + 7x³ - 2x² - 3x + c.
You're going to equate the whole equation to 0 and replace x for -1( because x + 1 is a factor)
= 5(-1)⁴ + 7(-1)³ - 2(-1)² - 3(-1) + c = 0
= 5 - 7 - 2 + 3 + c = 0
= - 1 + c = 0
Therefore c = 1
Pam takes her truck in for basic service. The service agent says a few extra repairs are also needed, so Pam adds the cost of those repairs in her head, rounding to the nearest $10. The costs are as follows: Wheel alignment: $110 Transmission fluid flush: $75 Cabin air filter: $23 What is her total estimate for the repairs? Note: 4 or less: round down, 5 or more: round up. For example, 14 becomes 10, while 15 becomes 20.
Answer:
$210 when round up
Step-by-step explanation:
To find the total estimate for the repairs, we need to add up the cost of each individual repair.
Wheel alignment: $110
Transmission fluid flush: $75
Cabin air filter: $23
Total estimate = $110 + $75 + $23 = $208
Pam rounded the costs to the nearest $10, so the total estimate may not be exactly $208, but it will be close to it.
Which of the following measurements is the GREATEST in magnitude? Hint: be sure
to convert all the measurements to the same units before comparing them!!!
520 g
52 kg
699 g
O2354 mg
Answer:
52kg
Step-by-step explanation:
Write the slope- intercept form of the equation of the line described. 1)through: (-3,-2), parallel to y = 1
Answer: The equation in the problem is in slope-intercept form. The slope-intercept form of a linear equation is:
y
=
m
x
+
b
y
=
−
3
2
x
−
1
Where
m
is the slope and
b
is the y-intercept value.
Therefore the slope of this line is:
m
=
−
3
2
Parallel lines by definition have the same slope. Therefore, we can substitute this slope into the formula giving:
y
=
−
3
2
x
+
b
We have been given a point on the parallel line so we can substitute the values of the point for
x
and
y
and solve for
b
y
=
−
3
2
x
+
b
becomes:
−
1
=
(
−
3
2
×
−
2
)
+
b
−
1
=
3
+
b
−
3
−
1
=
−
3
+
3
+
b
−
4
=
0
+
b
−
4
=
b
We can now substitute the slope and y-intercept into the formula giving:
y
=
−
3
2
x
+
−
4
y
=
−
3
2
x
−
4
Step-by-step explanation:
Answer:
-y-2=
Step-by-step explanation:
parallel to y=1,means the gradient is zero
(x,y) (-3-2)
-2-y/-3-x=
-2-y=
slope intercept form:ax+by+c=
-y-2=0
TRUE OR FALSE question 8 collaborating with a social scientist to provide insights into human bias and social contexts is an effective way to avoid bias in your data.
True. Collaborating with a social scientist can help identify and address potential sources of bias in data, allowing for more accurate and meaningful results.
Collaborating with a social scientist to provide insights into human bias and social contexts is an effective way to avoid bias in data. Social scientists can help identify and address potential sources of bias in data, allowing for more accurate and meaningful results. This can be done in several ways. Firstly, they can help identify potential sources of bias, such as demographic variables, cultural norms, and other external factors that may affect the data. Secondly, they can help devise strategies to counter the potential sources of bias. For example, they can suggest methods of incorporating diverse perspectives into the data collection process, or of analyzing data in a way that takes into account the potential effects of bias. Finally, they can provide insights into how social contexts can shape the interpretation of data, and can help ensure that any conclusions drawn from the data take into account the complexity of the social environment. By collaborating with a social scientist, researchers can help ensure that their data is free from bias, allowing for more meaningful and accurate results.
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What is (12^2*5)/4+9-1?
I am giving 15 points away and will give brainiest to the correct answer and who also show there work,
Answer:
60
Step-by-step explanation:
Calculate the sum or difference
12^2 x 5 / 12
Cancel out the common factor 12
12 x 5
Multiply the numbers
60
Solution:
60
Hope this helps!! <3
For 3-4, use the table at the right.
3. Emma has $100 to spend at the pet store. She needs
to buy 1 bag of dog food and 2 chew toys. Will
Emma have enough money left over to buy 3 times
as many catnip toys as chew toys? Explain.
No, Emma will not have enough money left over to spend 3 times as many catnip toys as chew toys.
How does math relate to money?For planning our spending, saving, and investing, we need math. In each scenario, having a solid grasp of mathematical ideas will be advantageous to your own finances. We are all effectively "bankers" in our individual lives because the term "banking" relates to handling money.
In this question,
1. Emma needs to spend $35 on 2 chew toys and 1 bag of dog food, which comes out to $20 + $15.
2. She has $65 in leftover funds because she has $100 to spend and $35 to spend it on.
3. She would need to spend $30 on 6 catnip toys, which is three times the amount she would spend on chew toys.
4. Nevertheless, she has just $65 left over, which is insufficient to pay for six catnip toys.
5. Consequently, Emma does not have enough cash on hand to purchase three times as many catnip toys as chew toys.
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I have attached a picture of the question but have typed out the option, i know a little bit about the function and what it would look like but im confuzed on what the plane y=?z=sin(xy)Give reasons for your choices. This function is [zero / linear / parabolic / period] in both x and y, and the function is [the same / not the same]when x is interchanged with y, so its graph is [ symmetric / not symmetric] about the plane y =[ ] . In addition, the function is [zero / linear / parabolic / periodic ] along the x- and y-axes. These conditions are satisfied only by [A / B / C / D / E / F ] and [ I / II / III / IV / V / VI ].
The function is periodic in both x and y, and the function is the same when x is interchanged with y, so its graph is symmetric about the plane y = 0. In addition, the function is periodic along the x- and y-axes. These conditions are satisfied only by C and IV.
A: The function plane does not have a zero or linear behavior, so this option is not correct.
B: The function does not have a linear behavior, so this option is not correct.
C: The function is periodic in both x and y, so this option is correct.
D: The function does not have a parabolic behavior, so this option is not correct.
E: The function does not have a periodic behavior, so this option is not correct.
F: The function does not have a linear behavior, so this option is not correct.
I: The function is the same when x is interchanged with y, so this option is correct.
II: The function is not symmetric about the plane y = 1, so this option is not correct.
III: The function is not symmetric about the plane y = 2, so this option is not correct.
IV: The function is symmetric about the plane y = 0, so this option is correct.
V: The function is periodic along the x- and y-axes, so this option is correct.
VI: The function is not linear along the x- and y-axes, so this option is not correct.
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The mean and standard deviation of the sample data collected on continuous variable Y are −0.5 and 0.5, respectively. The following table shows the relative frequencies of the data in the given intervals. Based on the table, is it appropriate to use the normal model to approximate the population distribution?
Yes, the data support the use of a normal mode.with two standard deviations, the quantities have always been 0.95, and according to the empirical rule.
According to the question,
The values that are one standard deviation away are:
= 0.33+0.36
= 0.69
As per the empirical rule, the value will be:
= 0.68
Consequently, with two standard deviations, the quantities have always been 0.95, and according to the empirical rule. So the empirical rule followed by the data.
Thus the above response is correct.
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Dominic collected data on the location where students of two grades would most like to visit and displayed it on a table.
Aspen, Colorado New York, New York Chicago, Illinois Total
Under age 15 21% 16% 12% 49%
Age 15 and above 17% 24% 10% 51%
Total 38% 40% 22% 100%
Which term best describes the entry of 51%?
Marginal frequency
Marginal relative frequency
Joint frequency
Joint relative frequency
The term that best describes the entry of 51% in this table is "Marginal relative frequency. The correct option is B.
What is Marginal relative frequency.?The ratio of a row total's or column total's frequency to the overall frequency of the data is known as marginal relative frequency. It is frequently used to examine broad trends in a single category of data.
For instance, the number of female students would be one marginal frequency in a table of students classified by sex and area of study, and the number of students enrolled in a particular area of study would be another, regardless of sex.
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Select the correct answer.
Simplify.
1
Multiply 3×6 which gets you 18
Now you have M18 ÷ M18
Divide it, and you'll get 1
H=10.00+0.07x after 20 months
The numeric value of the function H(x) = 10 + 0.07x when x = 20 is given as follows:
11.4.
How to find the numeric value of a function or of an expression?To find the numeric value of a function or of an expression, we replace each instance of the variable in the function or in the expression by the value at which we want to find the numeric value.
The function in this problem is defined as follows:
H(x) = 10 + 0.07x.
When x = 20, the numeric value is found replacing the lone instance of x by 20, hence:
H(20) = 10 + 0.07(20)
H(20) = 10 + 1.4
H(20) = 1.4.
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Evaluate this expression for the given values of x and y 2x^2 - y x=3 y=8 QUICK FAST PLEASE HURRY
Answer:
-6
Step-by-step explanation:
2 * 3^2 - (8 * 3) = 18 - 24 = -6
If me.hernandez turns in a late order for 1 turkey sandwich
Answer:
C.
Step-by-step explanation:
If by "turns in" they mean order, than its not a 3:4 ratio
A random sample of 100 people that would best estimate the proportion of all registered voters in a district who support improvements to the high school football field should be drawn from registered voters in the district at a ___football gamesupermarketschool fund-raiserhigh school band concert
A random sample of 100 people that would best estimate the proportion of all registered voters in a district who support improvements to the high school football field should be drawn from registered voters at a football game.
Here,
Drawing the sample at a football game is more likely to provide a representative sample of the entire population of registered voters in the district.
This is because people attending football games are likely to include a diverse mix of registered voters from various backgrounds and demographics.
It can provide a broad representation of the population, which is crucial for obtaining accurate estimates of the proportion of voters who support improvements to the high school football field.
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Companies are interested in the demographics of those who listen and call in to the radio programs they sponsor. Suppose that only 20% of listeners phoning into a morning talk show are male.a. If the station takes a random sample of 200 callers, what is the probability that the sample proportion of males will be at least 0.30?b. The station management wonders if adding a male host to the program will increase the proportion of callers who are male. After adding the male host, the station records selects a random sample of 200 callers and finds that 30% are male. Does this provide convincing evidence to suggest that the proportion of male callers has increased from 20%? Explain.
The probability that the sample proportion of males will be at least 0.30 is 0.1043.
It can be calculated by using a binomial probability formula. The formula is P(X ≥ 30) = ΣP(X = k), where k = 30, 31, 32, . . . , 200.
The probability is 0.1043.
b. After adding the male host, the station records select a random sample of 200 callers and finds that 30% are male. This provides convincing evidence to suggest that the proportion of male callers has increased from 20%. This is because the probability of observing a sample proportion of 30% or higher is 0.1043, which is greater than the 0.05 significance level commonly used in hypothesis testing. This means that the probability of the observed sample proportion being due to chance is very low and it is likely that the proportion of male callers has increased.
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Caleb made a line graph to represent the number of minutes he spent reading the last 10 days. What is the mean absolute deviation of his data?
NEEED HELPPPPP
Answer:The ratios of earnings to hours are not the same each week, so the earnings do not vary directly with the hours.
5 integers have a
mean = 6
mode = 5
range = 9.
What could the 5 numbers be?
Answer:
5, 5, 3, 12, 5
Step-by-step explanation:
This is because the criteria for the numbers are;
*** It must sum up to 30 to get a mean of 6
*** 5 must occur more than once
*** The difference between the largest and smallest number is 9
if triangles are anions and stars are cations, which of the following situations would lead to the most positive membrane potential?
O Both channel types are open
O only star channels are open
O neither channel type is open
O only triangle channels are open
A positive cation and a negative anion makes ionic compound. So both the ions i.e cation and anions are open.
Membrane potential is a potential gradient that forces ions to passively move in one direction: positive ions are attracted by the 'negative' side of the membrane and negative ions by the 'positive' one. Generally Voltage gated channels- open and close in response to changes in the voltage or membrane potential; involved in generating action potentials. As stars and triangles represents the cations and anions both channel types are open to lead the most positive membrane potential.
Therefore , both the channel types ( triangle and star ) are open to lead the most positive membrane potential.
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In a certain year, 30% of adults in a certain country viewed a college education as essential for success. For the following ten-year period, this percentage increased by approximately 2.3 each year. The percentage of adults from this country who viewed a college education as essential for success x years after the first year can be represented by ________. The percentage of adults from this country who viewed a college education as essential for success x years after the first year can be represented by
The percentage of adults from this country who viewed a college education as essential for success x years after the first year can be represented by y = 31 + 2.3x
What is an expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given that, In a certain year, 30% of adults in a certain country viewed a college education as essential for success. For the following ten-year period, this percentage increased by approximately 2.3 each year.
Therefore, we have,
Initial percentage = 31%
Average increase of percentage = 2.3% per year
Therefore, it can be represented as:
y = 31 + 2.6x,
Where,
y- percentage after x years, x - number of years after the first year
Hence, the percentage of adults from this country who viewed a college education as essential for success x years after the first year can be represented by y = 31 + 2.3x
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please help i cant figure it out
5(2x-6) + 8 - 2x = x + 2(x-11)
Answer:
Step-by-step explanation:
10x - 30 + 8 - 2x = x + 2x - 22
8x - 22 = 3x - 22
-3x -3x
5x-22=-22
22 22
5x=0
/5 /5
x=0?
The formula for the area of a regular polygon is A = [tex]\frac{1}{2} a[/tex] P where a is the length of the apothem and P is the perimeter.
MULTI-CHOICE. Choose ALL that are correct.
A) The apothem of a regular hexagon is 6.322 cm and the length of a side is 7.3 cm. The area equals 276.9[tex]cm^{2}[/tex]
B) The apothem of a regular pentagon is 4.6797 cm, and the perimeter is 34 cm. The area equals 79.55[tex]cm^{2}[/tex]
C) The apothem of a regular octagon is 6.0355 cm, and the length of a side is 5 cm. The area equals 120.71[tex]cm^{2}[/tex]
Answer:
Your answer is:
B) The apothem of a regular pentagon is 4.6797 cm, and the perimeter is 34 cm. The area equals 79.55
And
C) The apothem of a regular octagon is 6.0355 cm, and the length of a side is 5 cm. The area equals 120.71
Step-by-step explanation:
The apothem of a regular pentagon is 4.6797 cm, and the perimeter is 34 cm. The area equals 79.55 and The apothem of a regular octagon is 6.0355 cm, and the length of a side is 5 cm. The area equals 120.71
What is Polygon?Polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain.
The formula for the area of a regular polygon is A=1/2aP
Where a is the length of the apothem and P is the perimeter.
The apothem of a regular pentagon is 4.6797 cm, and the perimeter is 34 cm. The area equals 79.55
A=1/2×4.6797×34
We have to get 79.55 to tell the option B is true.
A=79.55
SO option B is correct.
Now let us check for C.
The apothem of a regular octagon is 6.0355 cm, and the length of a side is 5 cm. The area equals 120.71
Perimeter of octagon =8a
a is the side
Perimeter=8×5=40
A=1/2×6.0355×40
A=120.71 square centimeter.
Hence, option B and option C are correct.
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if z=1-i then find the argumed of z
The argument of the complex number z = 1 - i is approximately -0.785 radians.
What is the argument in complex numbers?
In complex numbers, the argument (also called the amplitude or angle) of a complex number is the angle that the complex number makes with the positive x-axis in the complex plane. It is usually expressed in radians and is denoted by arg(z).
Given a complex number z = 1 - i, the argument of z can be found using the inverse tangent function (atan). In this case, we want to find the angle θ such that tan(θ) = (imaginary part of z) / (real part of z):
θ = atan((-1) / 1) = -π/4 radians
Hence, the argument of the complex number z = 1 - i is approximately -0.785 radians.
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elena is proving the pythagorean theorem. she knows the goal is to prove that in a right triangle. so far she has: in a right triangle the altitude that intersects the hypotenuse decomposes the triangle into 2 smaller right triangles. these triangles are similar to the large triangle by the angle-angle triangle similarity theorem since each smaller triangle shares one angle with the larger triangle and has a right angle. similar triangles have proportional side lengths, so and . i can rewrite those equations to get and . therefore . . .
If the court of the length of the most comprehensive side of a triangle is equivalent to the sum of the squares of the additional two sides, then the triangle is good.
What is meant by Pythagorean theorem?
The hypotenuse side of a right-angled triangle's square is equal to the sum of its other two sides, according to Pythagoras' Theorem.The perpendicular, base, and hypotenuse of this triangle are its three named sides.Remember that in every right triangle, the area of the square with the hypotenuse side is equal to the sum of the areas of the squares with the two legs side (the two sides that meet at a right angle).The unknown side of a right-angled triangle can be located using Pythagoras' theorem. The three traditional Pythagorean means are the harmonic mean, geometric mean, and arithmetic mean (HM).That exists, in ΔABC, if c2=a2+b2 then ∠C is a right triangle, ΔPQR living at the right angle.
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Triangles LMN and FGH are shown.
Select the correct button in the table to show whether each statement is true or false.
The answer to the true and false questions are given below:
1. MN/NL=GH/HF=true2. LM+MN+NL=FG+GH+HF=false3. Triangle LMN is similar to triangle FGH.=trueHow to solve:Coordinates of L = (-1, -3)
M= (1, 3)
N = (1, -3)
Coordinates of F = (2, 6)
G= (3, 9)
H= (3, 6)
To find the distance b/w the points:
\sqrt(x2-x1)^2 + (y2 -y1)^2)
MN/NL =3
GH/HF = 3
Hence, it is true.
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ara sells apples at a farmers market she begins the day with 35 1/2 pounds of apples she sells half of the apples in the mornning 4/19 of the apples in the afternoon and 1/4 of the apples in the evening how many pounds of apples dose she have left
(a) Make a histogram of Petal.Length for all 150 observations. Please try a number of different bin-widths and select one that best displays the distribution of the data. Comment on the shape of the histogram. (b) Make a boxplot of Petal.Length for all 150 observations.
The histogram shows that petal length is distributed in a slightly skewed unimodal shape, while the boxplot reveals that the median value is 3.0 and there are some outliers with values greater than 6.0.
The histogram of Petal. Length shows that the data is distributed in a slightly skewed unimodal shape, with most of the data concentrated in the lower range of petal length values. This indicates that the majority of observations have petal lengths of less than 4.0 cm. The bin-width used was 0.5 and the data was distributed into 9 bins.
The boxplot of Petal. Length reveals more information about the distribution of the data. The median value is 3.0, the interquartile range is from 2.0 - 5.1, and there are some outliers with values greater than 6.0. This indicates that while the majority of observations have petal lengths between 2.0 and 5.1 cm, there are a few observations with petal lengths greater than 6.0 cm. This boxplot also shows that the data is slightly skewed to the right, as the median is less than the mean, which is 3.76 cm.
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Terrance hopes to earn $600 $ 600 in interest in 4.7 4.7 years time from $12,000 $ 12,000 that he has available to invest. To decide if it's feasible to do this by investing in an account that compounds annually, he needs to determine the annual interest rate such an account would have to offer for him to meet his goal. What would the annual rate of interest have to be
Answer:
The annual rate of interest would have to be approximately 12.77% for Terrance to earn $600 in interest in 4.7 years from an investment of $12,000.
Step-by-step explanation: This can be calculated by using the formula:
(future value) = (principal) * (1 + (interest rate) )^(number of years)
where future value = $12,600, principal = $12,000, number of years = 4.7
so (12600/12000)^(1/4.7) = 1 + r
r = (12600/12000)^(1/4.7) - 1 ≈ 12.77%
Sarah borrows $100. she earns $ 300 per day. Let y represent the number of dollars Sarah has in X days. An equation represent this situation is entered into a graphing calculator
The graphing window that will correctly graph the linear function is given as follows:
-1 <= x <= 15 and -150 <= y <= 3700.
How to define the linear function?The linear function in slope-intercept format for this problem is defined as follows:
y = mx + b.
In which:
m is the slope, representing the daily amount earned.b is the intercept, representing the initial amount borrowed.Hence the function for this problem is defined as follows:
y = 100 + 300x.
Meaning that the amounts of the initial and final days are given as follows:
Day 0: 100.Day 12: 100 + 300 x 12 = 3700.And the graph window is given as follows:
-1 <= x <= 15 and -150 <= y <= 3700.
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Please help me with all I’ll mark you brainly
The two lines have the same slope, therefore they are parallel and there is no solution.
y=-2x+6 y=2x+2 is linear or not?
This is an example of a simple linear function. The line you see on the graph, is an expression of the function rule "y = 2x +6".
2x+y=6 ⇒(1)
2x-y=2⇒(2)
Add equ(1) and (2)
so by adding we get,
2x+y+2x-y=6+2
adding the like terms.
we get,
4x=8
x=8/4=2
put x=2 in equ(1)
we get,
2(2)+y=6
4+y=6
y=6-4=2
so the values of x and y are 2 , 2 .
Therefore, The two lines have the same slope, therefore they are parallel and there is no solution.
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Popcorn at a concession stand comes in two different-sized containers. The dimensions of the small container with a diameter of 4 in. are shown below.
A popcorn container shaped like a cylinder is shown. A dashed line across the top of the container is labeled four inches. The height of the container is labeled four and five tenths inches.
The large container of popcorn has the same height as the small container, but its diameter is 1.5 times greater. How do the volumes of the two containers of popcorn compare? Use 3.14 for π.
Select the answers from the drop-down lists to correctly complete each sentence.
The volume of the large container of popcorn is _______ in.^3
OPTIONS FOR BLANK :
A) 56.52 B) 84.78 C)127.17 D) 169.56
This is ______ times the volume of the small container.
OPTIONS FOR THIS BLANK :
A) 2.88 B) 2.25 C) 1.8 D) 1.5
The volume of the large container is given as follows:
508.68 in³.
The ratio of the volumes is of:
B) 2.25
How to obtain the volume of a cylinder?The volume of a cylinder of radius r and height h is given by the equation presented as follows:
V = πr²h.
The parameters for the large container are given as follows:
h = 4.5, r = 0.5 x 8 x 1.5 = 6.
(as the diameter is half the radius).
Hence the volume of the large container is obtained as follows:
V = 3.14 x 6² x 4.5 = 508.68 in³.
The ratio is of 2.25, as the radius is squared.
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