Answers
Answer:
B
Step-by-step explanation:
[tex](x-1)(x+1) = x^2 -1\\(x+5)(x-5) = x^2 -25[/tex]
Related Questions
Find the angle DEF
A. 158
B. 90
C. 39.5
D. 360
Answers
The measure of the angle DEF is 39.5 and thus option C is correct.
What is a circle simple definition?A circle is simply a round shape that has no corners or line segments. It is a closed curve shape in geometry. The points of circle are at a fixed distance from the center.
Given here: The arc angle as 79
But we know The measure of the angle is equal to half the sum of the intercepted arcs. The angle x is equal to half the sum of the intercepted arcs.
∴∠ DEF= 79/2
=39.5°
Hence, The measure of the angle is 39.5
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Assume you have two integer variables, num1 and num2. Which of the following is the correct way to swap the values in these two variables? a) num1 = num2;
num 2 = num 1;
b) int temp = num1;
num2 = num1;
num1 = num2;
c) int temp = num1;
num2 = temp;
temp = num2;
num1 = temp;
d) int temp = num2;
num2 = num1;
num1 = temp;
Answers
The following is the correct way to swap the values in these two variables is:
d) int temp = num2;
num2 = num1;
num1 = temp;
Swapping Integer VariablesThis is because in d), the value of num2 is stored in a temporary variable temp before swapping. Then, the value of num1 is assigned to num2 and the value of temp is assigned to num1. This way the values of num1 and num2 are successfully swapped. The other options have logical errors in the swapping process.
Swapping values of variables is a basic concept in computer programming and is not a mathematical concept. However, it is related to mathematics in that programming can be used to solve mathematical problems.
For example, in mathematics, we might want to swap two values in a list so that we can sort the list in a certain order. In this case, the ability to swap values in programming can be applied to solving a mathematical problem. But the concept of swapping values itself is not a mathematical concept.
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Let F be a function defined for all the nonnegative integers by thefollowing recursive definition.
F(0) = 0, F(1) =1
F(n+2) = 2F(n) + F(n+1),n Image for Let F be a function defined for all the nonnegative integers by thefollowing recursive definition. F(0) = 0, 0
Compute the first six values of F;that is, write the values of F(n) for n = 0, 1, 2, 3, 4, 5.
I started off just plugging in 0 andgot
F(0+2) = 2F(0) + F(0+1)
= 2 = 2(0) + 1
= 2 = 3
How do I do this?
Answers
For the recursive definition F(0) = 0, F(1) =1 , F(n+2) = 2F(n) + F(n+1) , n ≥ 0 ; the first six values are 0 , 1 , 1 , 3 , 5 and 11 .
The first six values of the function F can be computed step by step as follows:
the recursive definition is F(0) = 0, F(1) =1 , F(n+2) = 2F(n) + F(n+1) , n ≥ 0 ;
it is already known that : F(0) = 0 and F(1) = 1 ;
So , F(2) = 2×F(0) + F(1) = 2×0 + 1 = 1 ;
Similarly ; F(3) = 2×F(1) + F(2) = 2×1 + 1 = 3 ;
⇒ F(4) = 2×F(2) + F(3) = 2×1 + 3 = 5 ;
⇒ F(5) = 2×F(3) + F(4) = 2×3 + 5 = 11 .
Therefore , first six values of F are 0 , 1 , 1 , 3 , 5 and 11 .
The given question is incomplete , the complete question is
Let F be a function defined for all the nonnegative integers by the following recursive definition.
F(0) = 0, F(1) =1 , F(n+2) = 2F(n) + F(n+1) , n ≥ 0 .
Compute the first six values of F .
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september 11 a recent study asked u.s. adults to name 10 historic events that occurred in their lifetime that have had the greatest impact on the country. the most frequently chosen answer was the september 11, 2001, terrorist attacks, which was included by 76% of the 2025 randomly selected u.s. adults. construct and interpret a 95% confidence interval for the proportion of all u.s. adults who would include the 9/11 attacks on their list of 10 historic events.
Answers
We are 95% confident that the true population proportion is between 71.6% and 80.4%
The 95% confidence interval for the proportion of all U.S. grown people who would include those on their list of 10 historic events can be constructed using the formula:
[tex]CI = pi ± z*(SE)[/tex]Where:
[tex]pi[/tex] = sample proportion (76%)
SE = standard error (square root of [tex]pi(1-pi)/n[/tex])
z = the critical value for a 95% confidence level (1.96)
n = sample size (2025)
Plugging in the values, we get:
[tex]SE =\sqrt{(0.76(1-0.76)/2025)} = 0.0240\\CI = 0.76 ± (1.96)(0.0240) = (0.716, 0.804)[/tex]
The 95% confidence interval can be interpreted as follows: If we repeated this study many times, 95% of the intervals constructed would contain the true population proportion of all U.S. grown persons who would include on their list of 10 historic events. Based on this sample, we are 95% confident that the true population proportion is between 71.6% and 80.4%.
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The two-way frequency table shows the number of blue and green parrots and parakeets in a rescue facility. Green Blue Total Parrot 17 16 35 Parakeet 20 28 48 Total 37 44 83 Find the probability that a randomly selected bird is a parakeet given that it is green.
Answers
The required probability that a randomly selected bird is a parakeet given that it is green is 54.1%.
What is probability?Probability can be defined as the ratio of favorable outcomes to the total number of events.
Here,
From the table,
Total green birds = 37
Total green parakeets = 20
Now,
The probability that a randomly selected bird is a parakeet given that it is green,
= 20 / 37 = 54.1%
Thus, the required probability that a randomly selected bird is a parakeet given that it is green is 54.1%.
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calculate the average speed of a cyclist who travels 30 km in 3 hr
Answers
[tex]\texttt{speed} = {\dfrac{d}{t}[/tex]
distance = 30 km
t = 3 hr
[tex]\texttt{speed}=\dfrac{30}{3}[/tex]
[tex]\fbox{\texttt{speed} = 10 km/hr}[/tex]
The function h is given by h(x) = 5x+13/ x-7 a) Write an expression for h−¹(x). b) For what value of x can h-¹(x) not be found? Give your answer as an integer or as a decimal.
Answers
Step-by-step explanation:
a) h−¹(x) = (x-13)/ (5x+7)
b) h-¹(x) cannot be found when x = 7.
6x-5=6x+5
given m||n find value of x
Answers
Answer:
x = 15º
Step-by-step explanation:
you see they are complementary angles in a straight line (180º), so:
6x - 5 + 6x + 5 = 180
12x = 180
x = 180 / 12
x = 15
And 6x - 5 is not equal 6x + 5 and will never be, I don't know where you got that from.
evalutate the espression I need help ASAP please don't answer incorrectly just for the points
Answers
The expressions are evaluated to 7 and -6
What are algebraic expressions?Algebraic expressions are mathematical expressions comprising of terms, coefficients, variables, constants and factors.
These expressions are also comprised of mathematical or arithmetic operations. These operations are;
MultiplicationSubtractionDivisionFloor divisionAdditionBracketParenthesesFrom the information given, we have that;
a. -4d + 3
b. k - m
Given that d= ,-1. k = 4 and m = -10
Now, substitute the values, we get;
a.-4(-1) + 3
expand the bracket
4 + 3 = 7
b. k - m
4 - 10
-6
Thus the values are 7 and -6
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express each of the complex numbers be-low in cartesian form (evaluate any trigonometricexpressions as decimal approximations). if using acalculator with complex number capability, you donot need to show your work, just state which calcu-lator you used to find the answer.
Answers
The following complex numbers are in cartesian form needs four decimal places for accuracy.
15 < -35° in Cartesian form is 15cos(-35°) + i15sin(-35°) = 12.96 - 6.59i.2e^-j0.6π in Cartesian form is 2cos(-0.6π) + i2sin(-0.6π) = -1.17 + 1.95i.(0.25 < -175°) in Cartesian form is 0.25cos(-175°) + i0.25sin(-175°) = 0.25 + 0.25i.-0.75e^j10° in Cartesian form is -0.75cos(10°) + i-0.75sin(10°) = -0.71 - 0.71i.
(25 - j15) × (-7.5 - j6) in Cartesian form is (25cos0° - 15sin0°) × (-7.5cos0° - 6sin0°) + i(25sin0° + 15cos0°) × (-7.5sin0° - 6cos0°) = -225 + 135i.(16e^-j25°) × (10 < -13°) in Cartesian form is (16cos(-25°) + i16sin(-25°)) × (10cos(-13°) + i10sin(-13°)) = 145.29 + 70.56i.The values for cosine and sine should be evaluated to at least 4 decimal places for accuracy.
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Select the graph of the system of inequalities. –x + y ≤ –1 x + 2y ≥ 4
Answers
The common region to both the inequalities would be the solution region.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is the compound inequality as -
–x + y ≤ –1
x + 2y ≥ 4
Refer to the graph of the inequalities attached. The common region to both the inequalities would be the solution region.
Therefore, the common region to both the inequalities would be the solution region.
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Add.
4 5/12 + 6 2/12
Answers
Answer: 10 7/12 or if you don't want a mixed number 127/12
Step-by-step explanation: use 10 7/12 just realized it said used a mixed number so the answer is 10 7/12
Joanna got a 14/15 on her first math quiz and a 94% on her second math quiz. On which quiz did she get a higher percent?
Answers
14/15 * 100 = 93.333...
So on her first math quiz, Joanna got 93.333%
So, Joanna got a higher percentage on her second math quiz (94%) than on her first math quiz (93.333%).
a billboard designer has decided that a sign should have 5-ft margins at the top and bottom and 2-ft margins on the left and right sides. furthermore, the billboard should have a total area of 150 ft2 (including the margins). if x denotes the width (in feet) of the billboard, find a function in the variable x giving the area of the printed region of the billboard.
Answers
If x denotes the width (in feet) of the billboard, find a function in the variable x giving the area of the printed region of the billboard as a function of x is (150/x - 10)(x - 4).
A billboard designer has decided that a sign should have 5-ft margins at the top and bottom and 2-ft margins on the left and right sides.
x = width of the billboard designer
Total Area including margin = 150 ft^2
Height of the billboard = Area/width
Height of the billboard = 150/x
Before the height of the billboard = (150/x - 5 × 2)
Before the height of the billboard = (150/x - 10) ft
The width of the printed region billboard = (x - 2 × 2)
The width of the printed region billboard = (x - 4) ft
The area of the printed region of the billboard = The width of the printed region billboard × The height of the printed region billboard
The area of the printed region of the billboard = (150/x - 10)(x - 4)
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The complete question is:
A billboard designer has decided that a sign should have 5-ft margins at the top and bottom and 2-ft margins on the left and right sides. Furthermore, the billboard should have a total area of 150 ft^2 (including the margins).
If x denotes the width (in feet) of the billboard, find a function in the variable x giving the area of the printed region of the billboard.
Area as a function of x =
Katie and Erica both went bowling last weekend, but not together. Katie went during open
bowling time, paying $15 for shoe rental and $4 per hour. Erica went on family night, when
each hour was $6 and shoe rental was $5. As it turned out, they played for the same number
of hours and spent the same amount. How much did each one spend?
Answers
Katie and Erica each bowled for 5 hours, and they both ended up paying P = $35.
What is the solution to an equation?
In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.
If both Katie and Erica play for t hours, then Katie pays a total of
$(15 + 4t), while Lisa pays a total of $(5+ 6t). If they both pay the same amount P, then
15 + 4t = P
5+ 6t= P
Solve for t :
15 + 4t = 5+ 6t
6t - 4t = 15-5 = 10
=> 2t=10
=> t=5
So Katie and Erica each bowled for 5 hours, and they both ended up paying P = $35.
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Which of the following is equivalent to 5(a + 3) + 12?
5a + 15
5a + 27
5a + 36
15a + 12 please help me
Answers
5(a+3)+12
5a+15+12
5a+(15+12)
=5a+27
given a number a, find the smallest number which has only 1s and 0s as its digits which are divisible by the number a. for example:
Answers
The smallest number which has only 1s and 0s as its digits and is divisible by the given number a is "100...0" with a number of zeros equal to the number of digits in a.
To find the smallest number which has only 1s and 0s as its digits and is divisible by the given number a, we need to consider the divisibility rules of the number a. If the number a is divisible by 2, then the smallest number which has only 1s and 0s as its digits and is divisible by a is 100...0 (with a number of zeros equal to the number of digits in a).
If the number a is divisible by 5, then the smallest number which has only 1s and 0s as its digits and is divisible by a is 10...0 (with a number of zeros equal to the number of digits in a - 1).
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you are 29 meters west of a stop sign (-29 meters east of the stop sign) when you start walking due east. let d represent the distance (in meters) you have walked east since you started walking. write an expression (in terms of d ) that represents your distance east of the stop sign (in meters). (hint: make a drawing, then consider your distance east of the stop sign when d
Answers
An expression (in terms of d ) that represents your distance east of the stop sign (in meters) is (29 - d).
You are 29 meters west of a stop sign (-29 meters east of the stop sign) when you start walking due east.
let d represent the distance (in meters) you have walked east since you started walking.
You have to cover total 29 meters distance.
You covered d meters from the 29 meters distance.
Since you have to cover total 29 and you covered d meters. Now the remaining distance should be differnce between the 29 and d meters distance.
So the equation should be
= 29 - d
Now you have to cover only 29 - d meters distance.
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84 ×7=( + 4)x = 80 x || + 28 + x 7
Answers
Answer:
The expression "84 × 7 = ( + 4) × = 80 × || + 28 + x 7" is not a valid mathematical equation and has errors in syntax. I suggest rephrasing it to a clear and well-formed equation for me to help solve.
Answer 5,6,&7 for brainliest and 20 points!!!
Answers
Answer:
5 - b
6 - a
7 - d
Step-by-step explanation:
5. When a number has an exponent for a fraction, it is asking for the root of the number.
[tex]b(x) = 6(\sqrt{16})[/tex]
[tex]b(x)=6*4[/tex]
[tex]b(x)=24[/tex]
6. Same thing as the previous problem.
[tex]k(x)=6(\sqrt[3]{27})[/tex]
[tex]k(x)=4(3)[/tex]
[tex]k(x)=12[/tex]
7. In the table of values, gives the value of f(x) and x when the other value is zero.
When x is zero, the other value is -4.
When f(x) is zero, the other value is 24.
help please I dont understand
Answers
Answer:
x = 34°
Step-by-step explanation:
The angle x and 146° are complementary angles, meaning that they form a 180° angle when combined. This is known because they share a straight line.
Because they are complementary, the sum of the angles is 180°:
x + 146° = 180°
Now we have a one-step equation! Solve by subtracting 146 from both sides:
x = 34°
Last socer season, Trish scored g goals , Alexa scored
4 more goals than Trish, write an expression that
shows how many goals Alexa scored.
Answers
Alexa scored g + 4 goals in the last soccer season.
What is expression in math?Expression in mathematics is a combination of symbols, such as numbers and operators, which produces a mathematical result. An expression can involve a single term or multiple terms and usually consists of a combination of constants, variables, operators, functions and parentheses. In an expression, operators are used to perform operations on terms, allowing one to solve equations and other problems. Examples of mathematical expressions include 3 + x = 5, sin(x) + 4, and (x + 2y)^2.
The expression that shows how many goals Alexa scored is: Alexa scored (g + 4) goals.
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Find 96.1% of 146. Round to the nearest tenth.
Answers
The value of 96.1% of 146 is 140.31
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
We have to find the value of 96.1% of 146.
Convert 96.1% to the decimal value by dividing with 100
96.1/100=0.961
Now multiply 0.961 with the 146 to find the value.
0.961×146
140.306
Hence, the value of 96.1% of 146 is 140.31
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If a1 = 4 and an = an-1 — 2, then find the value of a5
Also please explain, I’m struggling with this
Answers
Answer:
5
Step-by-step explanation:
Please help me with this question.
Answers
88 1
2
3
81°
4
5
64%
m/1 =
m/2 =
m23 =
m/4 =
m25 =
Answers
Answer:
m<1 = 92°
m<2 = 24°
m<3 = 64°
m<4 = 35°
m<5 = 81°
Step-by-step explanation:
28 represented 18% of the student body. How many students were in the student body
Answers
Answer:
below
Step-by-step explanation:
x = # of students in student body
.18 * x = 28
x = 28/.18 = ~ 156 students
please answer question quickly, question from ixl.
Answers
Lexi made more than 400 fluid ounces of punch.
What is linear inequality?According to the mathematical definition of inequality, neither side is equal. When a relationship leads to a non-equal comparison between two expressions or numbers, it is known as an inequality in mathematics. The equal sign "=" in this phrase can be replaced by any of the inequality symbols, such as greater than (>), less than (<), more than or equal to (≥), less than (≤), or not equal to (≠).
Given Lexi made fruit punch for her Fourth of July party and split it equally among 50 cups There were more than 8 fluid ounces of punch in each one.
let x be the total punch Lexi made,
linear inequality for the condition is,
x/50 > 8
multiply both sides by 50
(x/50)*50 > 8*50
x > 400
Hence she made more than 400 ounces of punch.
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Please help me with this question.
Answers
The coordinates of its P-intercept is -18.
What are the coordinates of its P-intercept?The coordinate points give values of dependent and independent variables.
Coordinates on graphs, it is typically represented by a pair of numbers: the first number indicates the length along, while the second number indicates the length up or down. The point (12,5), for instance, is 12 units down and 5 units up.
The coordinates of its P-intercept is the value of the P intercept is the value of P(x) when t = 0.
The given function is as follows:
Given the function P(x) = -(x-1) (x+3) (x-6)
when x = 0
P(0) = -(0 - 1) (0 + 3) (0 - 6)
P(0) = -(-1) (3) (-6)
P(0) = -18
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To investigate whether there is a significant difference between two regions of a state in the percent of voters who intend to vote for the incumbent governor in the next election, a polling agency interviewed 300 randomly selected voters from the north of the state and 400 randomly selected voters from the south of the state. Of those interviewed, 200 from the north and 325 from the south indicated they intended to vote for the incumbent governor in the next election. Which of the following is the most appropriate method for analyzing the results?
A one-sample z-test for a sample proportion
A one-sample z-test for a population proportion
A two-sample z-test for a sample proportion
A two-sample z-test for a difference in sample proportions
A two-sample z-test for a difference in population proportions
Answers
A two-sample z-test for a difference in population proportions is the appropriate method for analyzing the results.
Z-test is a statistical test often utilizes to find the difference in mean. It is coupled with variances and sample size to find the appropriate results. It is a hypothetical test where normal distribution is seen.
z-test holds numerous advantages such as it indicates difference in small size groups making it more usable. Moreover, it is also reliable in non-normal distribution of data and is efficient while taking multiple groups in a single analysis. The question has two different popular proportion and hence the two sample z-test will suitable to compare the means.
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