The factor of the trinomial (z² - 14z + 45) are,
⇒ (z - 5) (z - 9)
What is Quadratic equation?An algebraic equation with the second degree of the variable is called an Quadratic equation.
We have to given that;
The function is,
⇒ z² - 14z + 45
Now, We can factorize the trinomial as;
⇒ z² - 14z + 45
⇒ z² - (9 + 5)z + 45
⇒ z² - 9z - 5z + 45
⇒ z (z - 9) - 5 (z - 9)
⇒ (z - 5) (z - 9)
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I need help with this question that I’m suck on
The value of x which is base of the given right angle triangle is, 30.724
What is Pythagoras theorem?It is the most important theorem of mathematics, which tells us the relationship between sides of the right angle triangle, which are known as Base(A), Height(B), Hypotenuse(H).
Pythagoras theorem,
H² = A² + B²
Given that,
A right angle triangle,
Sides are respectively, 63, x, ?
One segment on hypotenuse having length 55
As it can seen that segment has equal length of height of the perpendicular
So, A = 55 unit
H = 63 unit
x = ?
H² = A² + B²
63² = 55² + x²
x² = 63² - 55²
x = 30.724
Hence, the length of base is 30.724
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Susie pumps some air into the ball and increases the radius by 1 more inch. If she wants to paint the entire surface of the ball a different color, how much paint will she use?
the answer is 3 because if you add those together you will get 3
The relative values of the mean and median are typically of data that have a significant skew to the left what are the relative values of the mean and median
The required, mean for the specific data set will also be greater than the median.
What is Statistic?Statistics is the study of mathematics that deals with relations between comprehensive data.
Here,
The relative values of the mean and median are typical of data that have a significant skew to the left, If the data set significant skew to the left implies that the mean of the data set is greater than the median of the data set.
Thus, the required, mean for the specific data set will also be greater than the median.
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Square ABCD and equilateral triangle AED are coplanar and share AD, as shown. what is the measure, in degrees, of angle BAE?
The measure of angle BAE is equal to the sum of the measures of angles ABC and ACD, or 120°.
Since ABCD and AED are both plane figures and share AD, the measure of angle BAE must be equal to the measure of angle BCD. Angle BCD is the exterior angle of triangle ABC, so the measure of angle BCD is equal to the sum of the measures of angles ABC and ACD. Therefore, the measure of angle BAE can be calculated using the formula:
m∠BAE=m∠ABC+m∠ACD
Since triangle AED is equilateral, all three angles are equal to 60°. Therefore, the measure of angles ABC and ACD are both equal to 60°. Therefore, the measure of angle BAE is equal to the sum of the measures of angles ABC and ACD, or 120°.
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ap exam a small class of five statistics students received the following scores on their ap exam: 5, 4, 4, 3, 1. a) calculate the mean and standard deviation of these five scores.
The mean of the score is 3.4 and the standard deviation is 3.2.
Scores of students = 5, 4, 4, 3 and 1
When determining the mean of a group of numbers, add up all the numbers and divide by the total number in the group.
Calculating the mean -
= Sum of total values / Total values
= 5 + 4 + 4 + 3 + 1 / 5
= 17/5
= 3.4
By averaging the squared deviations of each integer from the mean, you may get the variance before calculating the standard deviation.
Calculating the Standard deviation -
σ = √ ∑ (xi - u)²/n
σ² = (1² + (3.4 - 1)² + (3.4 - 4)² + (3.4 - 4)²+ (3.4 - 5)²) / 5
= 3.2
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A picture of a bottle is 1/8 of its actual size.
The height of the bottle is 3 cm in the picture.
What is the actual height of the bottle?
Answer:
the actual size is 24 cm
Step-by-step explanation:
first, the problem tells us that the picture is only 1/8th of the original. the easiest way to find this is by thinking about the fact that we only have 1 out of 8 parts. each of these parts are going to be the exact same size.
each of the 8 parts is going to equal 3cm. so multiply 3 cm by your 8 parts.
3*8=24
this will give you the size of your entire bottle.
5.5b≤10.89 solve for b
[tex]5.5b\leq 10.89[/tex]
Divide both sides by 5.5:
[tex]\dfrac{5.5b}{5.5} \leq \dfrac{10.89}{5.5}[/tex]
Answer:
[tex]b\leq 1.98[/tex]
Answer:
b ≤ 1.98
Step-by-step explanation:
Given equation,
→ 5.5b ≤ 10.89
Now the value of b will be,
→ 5.5b ≤ 10.89
→ b ≤ 10.89 ÷ 5.5
→ [ b ≤ 1.98 ]
Hence, value of b is 1.98.
Each of 7 students reported the number of movies they sa
18, 12, 6, 7, 11, 20, 15
Send data to calculator
Find the mean number of movies that the students saw.
If necessary, round your answer to the nearest tenth?
Explanation:
Add the values to get 18+12+6+7+11+20+15 = 89
Then divide by 7, since there are 7 values.
89/7 = 12.7143 approximately which rounds to 12.7
Which is the simplified form of the expression (6-2•65)-3?
0 630
0 0 о
O
% -1% % -12
O 6⁰
613
2. Adding 5 to 3/2 of a certain number of cucumbers gives a result of 11 cucumbers. Find
the original number of cucumbers.
3. Seven less than three times a certain number of avocados is equal to that certain
number plus nine. Find the original number of avocados
Part A: the number of cucumbers is 11.
Part B: the number of avocados is 8.
Define the term fraction of the number?Part of a full number and a means of dividing a number equally sized portions are represented by fractions.A fraction is a number that is a component of a whole. By breaking a whole into a number of parts, it is evaluated. For instance, the symbol for half of a complete number or item is 1/2.Part A:
Let x is the number of cucumbers .
Then,
3x - 7 = 26,
3x = 26+7,
3x = 33,
x = 33/3,
x = 11.
Thus, the number of cucumbers is 11.
Part B:
Let x is the number of avocados.
3x - 7 = x + 9
3x - x = 9 + 7
2x = 16
x = 8
Thus, the number of avocados is 8.
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Write an algebraic expression as indicated.
Rachel needs a mixture of 58 pounds (lb) of nuts consisting of peanuts and cashews. Let p represent the number of pounds of peanuts in the mixture. Write an
algebraic expression for the number of pounds of cashews that she needs to add.
Algebraic expression for the number of pounds of cashews that she needs to add is c = 58 - p
What is an algebraic expression?An algebraic expression can be described as an expression that is mostly composed or consists of variables, coefficients, terms, factors and constants.
Algebraic expressions are mathematically expressions and thus are made up of arithmetic operations, such as;
SubtractionMultiplicationFloor divisionBracketParenthesesDivisionAdditionFrom the information given, we have that;
58 pounds of nuts is a mixture of peanuts and cashewsThe variable, p represented the number of cashews in the mixtureTo determine the number of pounds of cashew, we have;
p + c = 58
Make 'c' the subject
c = 58 - p
Hence, the expression is c = 58 - p
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show that after choosing a basis the vector space of linear functions l(v,w) from v to w is isomorphic to m mn where m
A linear transformation L: V→W is called an isomorphism if it is a bijection. Two vector spaces are called isomorphic if there is an isomorphism mapping one of the spaces onto the other.
Often two vector spaces can consist of quite different types of vectors but, on closer examination, turn out to be the same underlying space displayed in different symbols. For example, consider the spaces
R² = {(a, b) | a, b ∈ R} and P₁= {a+bx|a,b ∈ R}
Compare the addition and scalar multiplication in these spaces:
(a,b) + (a₁,b₁) = (a+a₁, b+b₁) (a+bx) + (a₁+b₁x) = (a+a₁) + (b+b₁)x
r(a,b) = (ra,rb) r(a+bx)=(ra)+(rb)x
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Select the term that describes the linear portion in this quadratic equation.
7x^2 - 12x + 16 = 0
Billy remembers numbers using images that look somewhat like each number: 0 is a ball, 1 is a stick, 2 is a hanger, 3 is a comb, and 4 is a kite. Using Billy’s number images, Ryan remembered a 3-digit phone extension with this story: A person uses a hanger for his coat, then uses a stick to hit a ball. What number is Billy likely remembering?
Answer:
Step-by-step explanation:
210
Data will be collected on the following variables. Which variable in most likely to be approximated by a normal model? A. The distribution of the number of books read last week by middle school students, where the right tal of the distribution is longer than the left b. The distribution of life spar, in minutes, for batteries of a certain size, where most life spans cluster around the center of the distribution but with some very low and some very high Me sans с. The distribution of uger, in years, of the students at a certain college, where most students are between 18 and 22 years old, but ages greater than 22 will probably be more spread out than ages less than 18 d. The distribution of the number of birthdays per month for the employees at a certain company, where the number of birthdays in each month is approximately equat e. The distribution of the length of a stay, in days, in a hospital after surpery, where many patients have very short hospital stays, but some stays are quite lengthy and considered high outliers.
The variable most likely to be approximated by a normal model is c. The distribution of age, in years, of the students at a certain college, where most students are between 18 and 22 years old, but ages greater than 22 will probably be more spread out than ages less than 18.
A normal model is used to describe data that has a symmetrical distribution and where most values cluster around the center of the distribution. Of the variables listed, c. The distribution of age, in years, of the students at a certain college, where most students are between 18 and 22 years old, but ages greater than 22 will variable probably be more spread out than ages less than 18 is the most likely to be approximated by a normal model as it does have a symmetrical distribution and most values will cluster around the center.
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Suppose that 59% of all students on campus wear glasses. If two students are chosen at random, what is the probability that both of them wear glasses?
The probability that both of them wear glasses is 35%.
How to determine the probabilityThe probability that both students wear glasses is equal to the product of the probability of the first and the second student wearing glasses
If 59% of all students on campus wear glasses, then the probability of a single student wearing glasses is 0.59.
The probability that both students wear glasses is:
0.59 * 0.59 = 0.3481
Approximate
0.59 * 0.59 = 0.35
So, the probability that both students wear glasses is approximately 0.35 or 35%.
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Somebody please help
Please help, I’ve been stressing out over this to the point where I’m crying.
Answer:
sorry i don't know but you do it very good i promise
Eddy's plum weighs 3.042 ounces. Desta's plum weighs 3.24 ounces. Whose plum weighs more? How can you tell?
Desta's plum weigh more because the tenth value of the weight is greater than that of Eddy.
Whose plum weigh more?A decimal is a number that is made up of integers and non-integers. The whole numbers are separated from numbers that are not whole number by a decimal point.
Here is the place value of the weight of Eddy's plum:
3.042
3 = unit
0 = tenth
4 = hundredth
2 = thousandth
Here is the place value of the weight ofDesta's plum:
3.24
3 = unit
2 = tenth
4 = hundredth
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Mia's marble shows several colors. 2/3 of the marbles shows some red, 3/4 or the marbles shows some yellow, 6/7 of the marbles shows some blue. Mia has fewer than 250 marbles. How many of Mia's marbles show some blue?
The number of Mia's marbles that show some blue colour would be = 214.3 marbles
What is fraction of a number?A fraction of a number is part of the whole number which is represented as a numerator and a denominator.
The total number of marbles = 250
The fraction of the marble that are red = 2/3
The fraction of the marble that are blue = 6/7
The fraction of the marble that are yellow = 3/4
The quantity of marbles that are blue
= 6/7× 250
= 1500/7
= 214.3 marbles
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What is the perimeter of the given composite figure?
A) 140 ft
B) 175 ft
C) 170 ft
D) 182 ft
Answer: C = 170
Step-by-step explanation: 45+45+40+40 = 170
Answer:
Your answer is: B) 175ft
Step-by-step explanation:
To fid the perimeter you need to add all the sides together. Don't forget to add the sides that are not labeled, as well as the extra 5ft.
45+45+40+40+5=175
naomi makes $8 per hour when she babysits for her younger siblings. answer the questions below regarding the relationship between the hours spent babysitting and the total money earned.
The independent variable x represents the, work hour and the dependent variable is money she earned, Because the money (dependant) depends on the work hour (Independent).
What is independent and dependent variable mean?One whose value is dependent on another variable is said to be a dependent variable. Its quantity depends on the other, as the name would imply. Dependent variables are subject to external influences and do not change independently.
Independent variables don't rely on other factors, as opposed to dependent variables. Their individualistic values are what changed the dependent variables, and this is what caused the change. Independent variables are, once more, unaffected by external factors, as their name implies.
Because the money she earn id depended on the number of hour she work,
(x) = 8x
When x = 5
5 = 8 × 5
= $40
Thus, Naomi is making $40 per 5 hours when she is babysitting her younger siblings.
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Full question:
You are given the following information about N, the annual number of claims for a randomly selected insured:
P(N=0) = 1/2
P(N=1) = 1/3
P(N>1) = 1/6
Let S denote the total annual claim amount for an insured. When N=1, S is exponentially distributed with mean 5. When N>1, S is exponentially distributed with mean 8. Determine P(4
When N=1, P(S=4) = 1 - exp^(-4/5). When N>1, P(S=4) = 1 - exp^(-4/8). Therefore, P(S=4) = 1/2 * (1 - exp^(-4/5)) + 1/6 * (1 - exp^(-4/8)). S denote the total amount for an insured.
When N=1, the total annual claim amount for an insured, S, is exponentially distributed with mean 5. This means that the probability of S being equal to 4 is 1 - exp^(-4/5). When N>1, the probability of S being equal to 4 is 1 - exp^(-4/8). Since P(N=0) = 1/2 and P(N=1) = 1/3, the total probability of S being equal to 4 is the sum of the probabilities for N=1 and N>1. This is equal to 1/2 * (1 - exp^(-4/5)) + 1/6 * (1 - exp^(-4/8)).
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What is the result when 2.5(3x + 8) is subtracting from 1.5(2x - 5)
The resulting expression when 2.5(3x + 8) is subtracting from 1.5(2x - 5) is; 4.5x + 27.5.
Which expression results from subtracting 2.5(3x + 8) from 1.5(2x - 5)?Since the given expressions whose difference is to be determined are; 2.5(3x + 8) and 1.5(2x - 5).
On this note, the difference in the two expressions can be determined as follows;
2.5 ( 3x + 8 ) - 1.5 ( 2x - 5 )
= 7.5x + 20 - 3x + 7.5
= 4.5x + 27.5
Ultimately, the result of the subtraction is; 4.5x + 27.5.
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in the expressions below, n is an integer. indicate whether each expression has a value that is an odd integer or an even integer. use the definitions of even and odd to justify your answer. you can assume that the sum, difference, or product of two integers is also an integer. (b) 4n+3
(c) 10n3 + 8n - 4
Asymptotes and extreme values of the equation 10n3 + 8n - 4 are none, slope of 4n+3 is 4, and n is an integer.
What is the solutions of the given equation ?( a ) Points of axis interception at 4n+3: X Intercepts: [tex]$\left(-\frac{3}{4}, 0\right), \mathrm{Y}$[/tex] Intercepts: (0,3)
Slope of 4 n+3: m=4
( b ) Domain of [tex]$10 n^3+8 n-4:\left[\begin{array}{cc}\text { Solution: } & -\infty < n < \infty \\ \text { Interval Notation: } & (-\infty, \infty)\end{array}\right]$[/tex]
Range of [tex]$10 n^3+8 n-4:\left[\begin{array}{cc}\text { Solution: } & -\infty < f(x) < \infty \\ \text { Interval Notation: } & (-\infty, \infty)\end{array}\right]$[/tex]
Points of axis interception at [tex]$10 n^3+8 n-4: \quad X$[/tex] Intercepts: [tex]$(0.41235 \ldots, 0), Y$[/tex] Intercepts: (0,-4)
Asymptotes of [tex]$10 n^3+8 n-4: \quad$[/tex] None
Extreme Points of [tex]$10 n^3+8 n-4: \quad$[/tex]None
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Asymptotes and extreme values of the equation 10n3 + 8n - 4 are none, slope of 4n+3 is 4, and n is an integer.
What is the solutions of the given equation ?( a ) Points of axis interception at 4n+3: X Intercepts: Intercepts: (0,3)
Slope of 4 n+3: m=4
( b ) Domain of
Range of
Points of axis interception at Intercepts: Intercepts: (0,-4)
Asymptotes of None
Extreme Points of None
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is this function's avarage rate of change over the interval -1
Yes , it is a average rate of change over the interval -1
What is average rate of change?
It is a measure of how much the function changed per unit, on average, over that interval. It is derived from the slope of the straight line connecting the interval's endpoints on the function's graph.
suppose function y = x+1
then at interval [ -1 , 1]
at x= -1
y= 0
and at x= 1
y= 2
Rate of change = (y2 - y1)/(x2 - x1) = (2-0) / -1-1
Rate of change = 2/-2
= -1
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which of the following values are examples of a boolean data type? select all that apply.
A Boolean data type is a type of data that can have one of two possible values, either true or false.
Boolean values are used in logic and programming to make decisions and determine the flow of a program. In programming, Boolean values are typically represented with 0 for false and 1 for true. Examples of Boolean values include the following:
• (5 > 4) True
• (10 = 10) True
• (3 < 2) False
• (17 ≥ 17) True
• (“dog” = “cat”) False
• (“hello” ≠ “goodbye”) True
Boolean values are used in programming to perform calculations, make decisions, and control the flow of a program. For example, an if statement is a type of decision making statement that uses a Boolean expression to determine if a certain condition is true or false. If the condition is true, the program will execute the specified code, and if false, the program will skip the specified code. Boolean values are also used to perform calculations, such as in the AND, OR, and NOT logical operators, which are used to combine two or more conditions into one expression. For example, the AND operator would return true if both of the conditions are true and false if either of the conditions are false.
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By the age of 21, the best violinists and pianists will have practiced at least 10,000 hours. If you practice an instrument 45 minutes, 0.75 hour, a day for 365.25 days, the length of a year, how many hours will you have practiced?
Answer:
Step-by-step explanation:
if you practice an instrument for 45 minutes or 0.75 hrs per day
The violinist's Age is 21 years
The total number of hours practiced per year is 0.75 hours /day * 365days/year
If you want to reach 10,000 hours by the age of 21, you would need to practice for approximately:
10000 hours / 21 years = 476 hours per year
So, you would need to practice for approximately 476 hours/year for 21 years to reach 10,000 hours of practice.
when using the some rule ,we only use two of the equal ratios at one time.That is we work with pairs of _____ sides and angle?
When applying the some rule, we only combine two equal ratios at once. Consequently, we deal with pairs of sides and angles that have equivalent ratios.
Which set of ratios form a proportion?When two ratios are equal, a percentage is formed; alternatively, two equal ratios can be said to produce a proportion. When we understand that two ratios are equal, you can write a proportion. The ratios of these two numbers are equal.
When two variables are correlated in a manner that their ratios are equal, this is known as a proportional relationship. In a proportional connection, one variable is always a constant value multiplied by the other, which is another way to think of them. The "constant of proportionality" is the term used to describe that constant. Two angles are said to be complimentary if their sum is 90 degrees. Alternatively put, two angles are said to be complimentary if they combine to make a right angle.
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At a restaurant, hot chocolate can be purchased in two different cup sizes. A 12-ounce cup costs $3.60 and a 16-ounce cup costs $4.80.
Is the linear relationship between cup size and cost also proportional? Why or why not?
Yes, the constant of proportionality is 0.3.
Yes, there is no constant of proportionality.
No, the constant of proportionality is 0.3.
No, there is no constant of proportionality.
Answer:
Step-by-step explanation:
Yes, the constant of proportionality is 0.3.
Answer:
Yes, the constant of proportionality is 0.3.
Step-by-step explanation:
12-ounce cup costs $3.60 => 1 ounce = $3.60 / 12 = $0.3
16-ounce cup costs $4.80 => 1 ounce = $4.80 / 16 = $0.3
$0.3 = $0.3
Yes, the constant of proportionality is 0.3.
