Answer:
(a) They asked for one value of x
but I'll give you both
They're 2 and -2
(b)g(-1) = 4
Step-by-step explanation:
For (a) they're are looking for the value of x that is corresponding to 1 on the y axis
If you observe from your graph only -2 and 2 will have a corresponding value of 1 therefore they're the answers
for (b) Just look for the corresponding value of -1(x -axis) on the y axis which is 4
-50 POINTS- cmon alr
Answer:
10
Step-by-step explanation:
[tex] \sqrt{26 {}^{2} - 24 {}^{2} }[/tex]
[tex] = \sqrt{676 - 576} [/tex]
[tex] = \sqrt{100} [/tex]
[tex] = 10[/tex]
Answer: 10
Step-by-step explanation: You can use the Pythagorean theorem which is a^2+b^2=c^2. Plug in the numbers that you already have and square them to find the answer, which is 10. Hope this helps! If you need more of an explanation pls let me know ;)
Decide whether triangles ABC and DEC are similar. Explain or show your reasoning.
Triangles ABC and DEC are similar.
What is triangle?A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.
Here, we have,
Given the triangles ABC and DEC
For the triangle ABC:
m∠A = 36, m∠B = 21
So, the m∠C = 180 - (m∠A + m∠B ) = 180 - (36 + 21) = 123
Similarly, the angles of DEC are,
m∠D=36 , m∠C=123 & we get, m∠E =21
So, comparing the measurements of the angles of both triangles:
m∠A=m∠D.
m∠C=m∠C
m∠B=m∠E
So, the triangles are similar using the AAA postulate.
Hence, triangles ABC and DEC are similar.
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To be eligible for the swim team, the mean pace a student needs to achieve on 5 laps of the pool is 60 seconds (s). The student swims a lap in 63 s, 62 s, 65 s, and 58 s on her first four laps.
What is the maximum time (in seconds) that she can take on her last lap and still make the team?
52s is the maximum time that she can take on her last lap and still make the team.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Given that he mean pace a student needs to achieve on 5 laps of the pool is 60 seconds (s).
The student swims a lap in 63 s, 62 s, 65 s, and 58 s on her first four laps.
We need to find the maximum time (in seconds) that she can take on her last lap and still make the team
Let x be the maximum time (in seconds) that she can take on her last lap
60=(63+62+65+58+x)/5
300=63+62+65+58+x
300=248+x
Subtract 248 on both sides
300-248=x
x=52s
Hence, 52s is the maximum time that she can take on her last lap and still make the team.
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a parallelogram has sides that are in the ratio of 7:5 the premeter of the parallelogram is 48 how long does the longer side
Hello there!
Answer:
14
Step-by-step explanation:
Let the smaller side is x. Then the largest side is x * 7/5.
Perimeter is equal to 2 * (x + 7/5 * x) or 48.
2 * (x + 7/5 * x) = 48
5/5 * x + 7/5 * x = 24
12/5 * x = 24
12/5 * 5/12 * x = 24 * 5/12
x = 10.
Tha larger side is 10 * 7/5 = 14.
Step-by-step explanation:
Given ,
Ratio of the sides of a parallelogram are 7:5Perimeter of a parallelogram is 48To Find : Which side is longer
We know the formula to find the perimeter of a parallelogram is,
[tex]P = 2(a+b)[/tex]
We take 'x' to find out which side is longer
[tex]48 = 2(7x+5x)\\48 = 2(12x)\\48 = 24x\\\frac{48}{24} = x[/tex]
[tex]2 = x[/tex]
Side a = 7x = 7 x 2 = 14
Side b = 5x = 5 x 2 = 10
Side a [tex]\geq[/tex] Side b
Hence, side a is longer
I need help with this, I need to simplify but I don't know how
Answer: solve the same variables
Step-by-step explanation:
1. 3y + 4.1
2. 4x +
3. 5x + 22½
4. 4y²
5. + 25
6. 0
correct 0.00798516 to three significant figures
Explanation:
The zeros in 0.00798516 are not considered significant because they are not between nonzero values.
If we had something like 1.207, then that zero would be considered significant.
The first three significant values we come across in 0.00798516 are 7, 9 and 8 in that order. The next digit 5 meets the criteria of "5 or larger", which means the 798 bumps up to 799. Erase everything to the right of that.
Therefore, 0.00798516 rounds to 0.00799 when rounding to 3 significant figures.
Answer: 0.00799
0.00798516 rounded off to three significant figures is 0.00799
hope that helps...
which fractions, when converted, result in a repeating decimal? select all that apply 1/8 1/6 3/12 8/9 2 and 4/5 4 and 3/11
Answer:
B. 1/6
D. 3/12
F. 4 3/11
PLEASE MARK BRAINLIEST
At the end of an interview you are offered a job. You would start at 7.50 an hour and work an average of 45 hours a week. At the end of six months with a positive evaluation, your hourly pay would increase to 8. The job pays overtime at a time and a half rate, based on 37 1/2 hour regular work week. What total earrings could you expect to make by working a full year
By working a full year, you may expect to earn a total of $19,646.25 in earrings.
Explain about the expression?This mathematical operation enables the multiplication, division, addition, or subtraction of numbers. The following is the structure of an expression: Expression: (Number/Variable, Math Operator, Math Operator)
An expression, also known as an algebraic expression, is any mathematical statement that consists of numbers, variables, and an arithmetic operation between them. For example, the mathematical sign + separates the phrases 4m and 5 from the variable m in the phrase 4m + 5.
Combining numbers, variables, and operators to represent something's value is known as a mathematical expression. Setting two expressions equal to one another creates an equation, a mathematical statement.
= Total overtime pay of $2,193.75 (first 6 months)
Add the regular and overtime pay after that:
= $7,312.50 + $2,193.75
= $9,506,25 in total income (first 6 months)
$7,800.00totalregularpay(last6months)
Overtime pay:(26weeks in a half year) \=$8\times
7.57.5\times1.51.5\times
$ 26
= Total overtime pay of $2,340.00 (last 6 months)
Add the regular and overtime pay after that:
= $7,800.00 + $2,340.00
= $10,140.00 in total income (last 6 months)
In the end, add the combined earnings from the two half years:
= $9,506.25 + $10,140.00
= Total annual profits of $19,646.25 (expected)
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whats 2+2 pls i have a test tomorrow i need to pass it
Simplify. 3(x+2y)+5x−y+1
A 8x+y+1
B 8x+5y+1
C 8x+7y+1
D 6xy+5x−y+1
Answer: 8 x + 5 y + 1
8x+5y+1
so that would be B)
Please help will mark Brainly
Answer:
y < 1/2x +6
Step-by-step explanation:
You want the inequality graphed in the given figure.
Line and shadingThe line is dashed, and the shading is below it, so the inequality will have the form ...
y < ...
This is because the boundary line is not included, and the y-values in the solution are less than those on the boundary line.
Boundary lineThe y-intercept is at +6, where the line crosses the y-axis.
The line goes 2 units to the right for each 1 unit up, so its slope is ...
m = rise/run = 1/2
The slope-intercept equation for the boundary line is ...
y = mx +b . . . . . . slope m; y-intercept b
y = 1/2x +6 . . . . . equation of the boundary line in the graph
InequalityPutting the boundary line expression into the inequality form gives the inequality that describes the graph:
y < 1/2x +6
Given it was not a strike, what is the probability it was a knuckle
ball? Enter the answer as a percent (%)to the nearest tenth.
In response to the above problem, we may state that the triangle's - 5/13 measurements correspond to sin and cos.
Trigonometric functions: what are they?The first six essential trigonometric functions are used in trigonometry. These functions are trigonometric ratios. The sine function, cosine function, secant function, co-secant function, tangent function, and co-tangent function are the six basic trigonometric functions. The side ratio of a right-angled triangle is equivalent to the identities and functions of trigonometry. Trigonometric formulas are applied to the perpendicular side, hypotenuse, and base of a right triangle in order to calculate the sine, cosine, tangent, secant, and cotangent values.
as base/hypotenuse = cos x
and sin x = hypotenuse/perpendicular
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Rami's glass is 1/2 full. Will's glass is 3/8 full. Whose glass is fuller? How much fuller is it?
Rami's glass is fuller than Will's glass by 1/8
How to determine whose glass is fuller?From the question, we have the following parameters that can be used in our computation:
Rami's glass is 1/2 full. Will's glass is 3/8 full.
Convert the fractions to decimal
This gives
Rami's glass is 0.5 full. Will's glass is 0.375 full.
0.5 is greater than 0.375
So, Rami's glass is fuller
How much fuller is it?To do this, we calculate the difference
So, we have
Difference = 0.5 - 0.375
Evaluate
Difference = 0.125
Rewrite as
Difference = 1/8
Hence, it is 1/8 fuller
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y-5=-7/3(x-3) in standard form
Answer: The equation Y-5 = -7/3(X-3) in standard form is:
3Y - 15 = -7X + 21
Step-by-step explanation:
nts
Insurance companies are interested in the average health costs each year for their dients, so that they can
determine the costs of health insurance. Match the vocabulary word with its corresponding example.
All of the insurance company's dients
The cost each year for health care
The average health care cost each year for all of the insurance company's dients
The average health care cost each year for the 400 dients that the insurance company
included in this study
The 400 dients that the insurance company included in this study
The list of the 400 annual health care costs for the dients that the insurance company
indude in the study
a. Parameter
b. Population
c. Sample
d. Statistic
e. Data
of Variable
All of the clients of the insurance company are the population, and the parameter is the annual average cost of health care for all of the clients of the insurance company.
what is variable ?A variable in mathematics is a word or an alphabet that stands in for an unknowable quantity, value, or number. In the context of algebra or algebraic expression, the variables are employed specifically. Consider the linear equation x+9=4, which has 9 and 4 as constants and uses x as a variable. There are many variables, including height, age, wealth, province of birth, academic standing, and kind of dwelling. The independent variable is often plotted on the x-axis whereas the dependent variable is typically plotted on the y-axis. The independent variable's value also determines
given
Information: The 400 clients' annual health care costs that the insurance provider included in the analysis.
-Variable: The expense of health care per year
400 clients were used as a sample in this study by the insurance business.
The insurance provider included 400 consumers in this survey, providing statistics on the average annual cost of health care for each of them.
-Parameter: The annual average cost of health care for all customers of the insurance provider.
All of the clients of the insurance company are the population, and the parameter is the annual average cost of health care for all of the clients of the insurance company.
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Rewrite 12x4y3 − 48x3y4 using a common factor.
Answer: 12x^3 y^3 (x − 4y)
(GCF is: 12x^3 y^3)
Step-by-step explanation:
This is the best I can do, sorry that I don't have an explanation.
what is 0.10x10= ?
(i know how to do this but im very stuck on this one)
Answer:
Its 1 because you are moving the digits 1 place to the right
Step-by-step explanation:
P(-3,6) y el intercepto =-10, encontrar la pendiente
The slope of the line, given the point on the line and the y - intercept, is - 5. 33
How o find the slope ?The slope of a line tells us the relationship between the dependent variable and the independent variable. In other words, it tells us what a change in the independent variable leads to in the dependent variable.
The slope can be found in the slope - intercept formula form of :
y = mx + b
m is the slope
b is the y - intercept
We have the y - intercept and a y and x value in ( -3, 6 ) so the slope is:
6 = - 3 ( m ) + ( - 10 )
6 = - 3m - 10
- 3m = 6 + 10
- 3 m = 16
m = 16 / - 3
m = - 5. 33
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Find all the zeroes of the equation.
x4-6x2-7x-6 = 0
Zeros of the given equation are {-2, 3, (-1±i√3)/2}
Solution:-As the last term is -6 then, ± 2 , ±3 are possible zeroes.
Try 2:-
[tex]2^4-6*(2)^2-7*2-6=-28[/tex] so 2 is not a zero.
Try 3:-
[tex]3^4-6*(3)^2-7*3-6=0[/tex] so 3 is a zero.
[tex](-2)^4-6*(-2)^2-7*(-2)-6=0[/tex] so -2 is also a zero.
Divide the function by (x +2)(x - 3), that is [tex]x^2 - x - 6[/tex]
gives [tex]x^2 + x + 1[/tex]
[tex]x^2 + x + 1[/tex]
So we have [tex]x^2 + x + 1 = 0[/tex]
[tex]x = [-1 +\sqrt{1^1 - 4*1*1}] / 2[/tex]
= -1 + √(-3) / 2 , - 1 - √(-3) / 2.
= -0.5 + 0.866i, -0.5 - 0.866i
What are math roots?In mathematics, the number that results in the original number when multiplied by itself is called the root.
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Match each modification to its effect on an ecosystem.
Many desert regions in the West were transformed
into lush urban areas and farmlands.
Water bodies in the Owens Valley and its
surrounding areas began to dry up.
Runoff containing disease-carrying organisms
contaminated soil and caused water pollution.
construction of the Los Angeles aqueduct
arrowRight
construction of large highways
arrowRight
damming of the Colorado River
The modifications and their effects on the ecosystem include:
construction of the Los Angeles aqueduct - Many desert regions in the West were transformed into lush urban areas and farmlands.construction of large highways - Runoff containing disease-carrying organismsdamming of the Colorado River - Water bodies in the Owens Valley and its surrounding areas began to dry up.What were the effects of some man made feats in the west ?With the construction of the Los Angeles aqueduct, water was transported to the west such that many desert regions there became lush urban areas and farmlands.
Large high ways and the damming of the Colorado River did not have such a good impact however, as they both led to runoff and to water bodies in the Owen valley drying up.
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Finding a Mistake in a Subtraction Problem
Jordan wants to solve the problem: 453-254 = ?
He begins by making an estimate.
450-250 = 200
Estimate:.
Then he uses expand-and-trade subtraction to find an exact answer, but his answer is not
close to his estimate. This is his work.
"Oops," says Jordan, "I didn't cross out 400 and write 300."
Explain why not changing 400 to 30 is a mistake.
Hint: Use what you know about place value in your answer.)
Using the expand and trade subtraction the mistake Jordan made was not crossing 400 to 300
1 is carried form 4 to 5 then to 3 to get 13
How to do the subtraction in a correct way
The expanded form of subtraction makes is easier to conceptualize the subtraction, however it has some techniques that should be in mind in other to handle the techniques correctly
The numbers used in the subtraction is examined
453 and 254
the ones have it that 3 in "453" is less than 4 in "254" and hence will require 1 form 5.
When this happens, in the tens, 5 in "453" will turn to 4 and will be less than the 5 in "254" and will requires 1 from 4 in "453" in hundreds
At this point 4 in "453" is in hundreds and will turn to 300
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$34,100 at 4% for 3 years
Simple interest
The 3 year simple interest at 4% will be $38,192.
What is Simple interest?A quick and easy method of calculating the interest charge on a loan is called a Simple interest.
The principal amount = $34,100
Interest rate = 4%
Time = 3 years Now,
Since, We know that;
Where, A is final amount.
P is principal amount.
r is interest rate.
t is time.
Substitute all the values, we get;
A = $34,100 (1 + 4/100)³
A = $34,000 (104/100)³
A = $34,000 × 104/100 × 104/100 × 104/100
A = $38,192
Thus, The Simple interest will be $38,192.
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Anyone read tgcf/heaven officials blessing??
Evaluate the following expression when c = -3 and d= 2: 6/d -10c - c to the fourth power
The value of the fourth power of the expression is 1679616.
What is an expression?Expressions in maths are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given that, an expression: 6/d -10c - c, where c = -3 and d= 2
Solving the expression, we get,
6/2-10(-3)-(-3)
= 3+30+3
= 36
We are asked to find the fourth value of 36,
(36)⁴ = 36 × 36 × 36 × 36 = 1679616
Hence, the value of the expression is 1679616.
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Find the sum and express it in simplest form.
(7t³ + 3t - 1) + (-9t³ + 2t)
DO
Enter the correct answer.
Answer:
-2[tex]t^{3}[/tex] + 5t - 1
Step-by-step explanation:
(7[tex]t^{3}[/tex] + 3t - 1) + (-9[tex]t^{3}[/tex] + 2t)
7[tex]t^{3}[/tex] - 9[tex]t^{3}[/tex] + 3t + 2t - 1 Combine like terms
-2[tex]t^{3}[/tex] + 5t - 1
Like terms have to have the same variable and the same exponents to be like terms.
What is the major theme and minor theme in “Arachne and the weaving contest”
The central theme of Arachne is human limitation and hubris.The center of the ellipse is located midway between the foci .
What is major axis ?The center of the ellipse is located midway between the foci. The minor axis is the line segment going through the center and perpendicular to the major axis, with both endpoints on the ellipse. The length of the ellipse's major axis is equal to the bigger of 2a or 2b, while the length of its minor axis is equal to the smaller. The major axis, which is the largest distance between any two points on the ellipse, is the line that connects both foci and runs from one end to the other. The minor axis, which is the shortest path between two points on the ellipse, is the line that passes through the center of the major axis in a perpendicular direction.
given
The central theme of Arachne is human limitation and hubris. Arachne, a young girl who is a remarkably gifted weaver, thrives on the adulation of her customers.
As a result of her youth and inexperience as well as her awareness of her exceptional talents, Arachne eventually boasts that her weaving is even greater than Athena's.
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1. Simplify and show your work.
3(2x^3y^5)^3
——————— or /
(2x^6y^3)^4
On solving the provided question, we can say that - here the value of exponential equation is 648/1296 = 0.5
what are exponents?Exponentiation, often known as "b raised to the nth power," is a mathematical operation denoted by the symbol bn that involves two numbers: a base number, b, and an exponent, or power, n. Exponents show how many times a number has been multiplied by itself. As an illustration, 2-3 (written as 23) denotes: 2 x 2 x 2 = 8. 23 is not equivalent to 2 + 3 = 6. Recall that an integer raised to the power of one equals itself. A approach to express huge numbers as powers is through the use of exponents. Exponent, then, is the quantity that indicates how many times a number has been multiplied by itself. As an illustration, 6 is multiplied by 4 to provide 6 x 6 x 6 x 6. It may be expressed as 64. 4 is where
So, the equation is
[tex]3(2x^3y^5)^3/ (2x^6y^3)^4[/tex]
and x=y=1
so, 648/1296 = 0.5
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4.3.3 Refer to Exercise 4.3.1. Suppose we select a simple random sample of five adults. Use Equation 4.3.2 to find the probability that, in the sample, the number of people who have been told that they have hypertension will be: (a) Zero (b) More than one (c) Between one and three, inclusive (d) Two or fewer (e) Fiv
The probabilities of the number of people told that they have hypertension, using the binomial distribution, are given as follows:
a) Zero: 0.2536 = 25.36%.
b) More than 1: 0.3461 = 34.61%.
c) Between one and three: 0.7331 = 73.31%.
d) Two or fewer: 0.9068 = 90.68%.
e) Five: 0.0008 = 0.08%.
What is the binomial distribution formula?The mass probability formula, giving the probability of x successes, is of:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are given by:
n is the number of trials of the experiment.p is the probability of a success on a single trial of the experiment.The values of these parameters for this problem are given as follows:
p = 0.24, n = 5.
Hence the probability for each outcome in the distribution is given as follows:
P(X = 0) = (1 - 0.24)^5 = 0.2536.P(X = 1) = 5 x 0.24 x (1 - 0.24)^4 = 0.4003.P(X = 2) = 10 x 0.24² x (1 - 0.24)³ = 0.2529.P(X = 3) = 10 x 0.24³ x (1 - 0.24)² = 0.0799.P(X = 4) = 5 x 0.24^4 x (1 - 0.24) = 0.0126.P(X = 5) = (0.24)^5 = 0.0008.Hence the missing probabilities are given as follows:
b) More than 1: 1 - (0.2536 + 0.4003) = 0.3461 = 34.61%.
c) Between one and three: 0.4003 + 0.2529 + 0.0799 = 0.7331 = 73.31%.
d) Two or fewer: 0.2536 + 0.4003 + 0.2529 = 0.9068 = 90.68%.
Missing InformationThe probability that a person has hypertension is given as follows:
p = 0.24.
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Can anyone help me fill in the other blanks
On solving the problem we got that, 17yds and 11yds are its length and width
What does perimeter mean?The circumference of an item is known as its perimeter. For instance, your home has a yard that is enclosed. The length of the fence is the perimeter. The length of your fence is 200 feet if the yard is 50 feet by 50 feet.
length =L
width = W
length is 6 yd longer than its width,
L = 6 + W
perimeter is 56yds:
[tex]56= 2(L + W) \\ = > 68 = 2(6 + W) + 2W\\= > 12+ 2W + 2W = 56\\= > 4W = 44\\= > W = 11 yds\\= > L = 11+6 = 17 yds[/tex]
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What is the ratio of 4 red pens to 7 black pens
Answer:
There could be 12 red pens and 21 black pens
Step-by-step explanation: