What is the range of this function? 8 5 O A f-8,-3,5,7) B. {6, 8, 10, 12) O C. (-8, -3, 5, 6, 7, 8, 10, 12} O D. 4-3,7,8, 12)
Answers
Remember that the range is formed by all the numbers inside the output set, the right one.
Therefore, the range is[tex]\mleft\lbrace-8,-3,5,7\mright\rbrace[/tex]The answer is A.Related Questions
Stella measured a line to be 12.4 inches long. If the actual length of the line is 9.6 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
Answers
measured 12.4 inches but it is 9.6, the error is 12.4 - 9.6 = 2.8 inches
2.8 inches in percentage with tespect to 9.6:
100 (2.8/9.6) = 280/9.6 = 29.2 %
Answer:
Error is 29.2% of the actual lenght (9.6)
There are 19 racks of plates in City Restaurant. Each rack has 37 plates. Which choice shows the correct estimate of how many plates are on the plate rack?
A.
400
B.
600
C.
800
D.
1,000
Answers
Answer: c.800 that's the answer
The correct estimate of the number of plates on the plate rack is 800.
The number of racks of plates in the City Restaurant is 19.
The number of plates in each rack is 37.
We need to find the estimated number of the total plates on the plate rack in the City Restaurant.
To find the estimate, we will round off the numbers to the nearest ten.
Rounding a number implies simplifying it while retaining its value close to what it was. The end output is less precise but more usable.
The number of racks of plates is rounded off and becomes 20.
The number of plates in each rack is rounded off and becomes 40.
The total number of plates in the rack is given by the multiplication of the two numbers obtained.
The total number of plates on the plate rack is 20x40 = 800.
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Please help me with this sample question.The sample questions only allow me to test each country once before moving to the next. I need all countries.
Answers
Let be "a" the number of medals that Country A won, "b" the number of medals that Country B won, and "c" the number of medals that Country C won.
You can set up the following System of equations using the information given in the exercise:
[tex]\begin{cases}a+b+c=119 \\ b=c+7 \\ a=b+c+33\end{cases}[/tex]In order to solve the System of equations, you can follow these steps:
1. Substitute the second equation into the third equation:
[tex]\begin{gathered} a=b+c+33 \\ a=(c+7)+c+33 \\ a=2c+40 \end{gathered}[/tex]2. Substitute this new equation and the second original equation, into the first original equation:
[tex](2c+40)+(c+7)+c=119[/tex]3. Solve for "c":
[tex]\begin{gathered} 4c+47=119 \\ 4c=119-47 \\ \\ c=\frac{72}{4} \\ \\ c=18 \end{gathered}[/tex]4. Knowing the value of "c", you can substitute it into the second original equation and then evaluate, in order to find the value of "b":
[tex]\begin{gathered} b=(18)+7 \\ b=25 \end{gathered}[/tex]5. Knowing the value of "b" and "c", you can substitute them into the third original equation and then evaluate, in order to find the value of "a":
[tex]\begin{gathered} a=b+c+33 \\ a=(25)+(18)+33 \\ a=76 \end{gathered}[/tex]Therefore, the answer is:
- Country A won 76 medals.
- Country B won 25 medals.
- Country C won 18 medals.
The second one is 25
The third one is 18
Find the missing length. Round to the nearest tenth if necessary. Find the missing side.
Answers
Given:
a = 4
b = 5
c = unknown
Let's find the length of c.
Here, we are given a right triangle, where c is the longest side.
The longest side of a right triangle is called the hypotenuse.
To find the hypotenuse, apply Pythagorean Theorem:
[tex]c^2=a^2+b^2[/tex]Input values into the equation above:
[tex]\begin{gathered} c^2=4^2+5^2 \\ \\ c^2=16+25 \\ \\ c^2=41 \end{gathered}[/tex]Take the square root of both sides:
[tex]\begin{gathered} \sqrt[]{c^2}=\sqrt[]{41} \\ \\ c=6.4 \end{gathered}[/tex]Therefore, the length of the missing side, c =
What does x equal?
x(x + 10) = 0
Answers
Answer:
x=-10, you would get this by fixing the equation like this (x+10) (x+) =0 then you would have to -10 on both sides and you get -10 as your answer
1,1,2,6,24,_,_,_,_,Explain and fill the sequence, write the explicit and recursive formula for the sequence
Answers
Given the sequence:
1, 1, 2, 6, 24
Let's fill in the sequence.
Here, we can see that the nth term is equal to the pprevious term multiplied by n.
First term: 1 x 1 = 1
Second term: 1 x 2 = 2
Third term: 2 x 3 = 6
Fourth term: 6 x 4 = 24
Fifth term: 24 x 5 = 120
Sixth term: 120 x 6 = 720
Seventh term: 720 x 7 = 5040
8th term: 5040 x 8 =40320
Hence, the sequence is:
1, 1, 2, 6, 24, 120, 720, 5040, 40320
The explicit formula of the sequence is:
[tex]a_n=a_{n-1}\ast n[/tex]For example to find the 6th term, we have:
[tex]\begin{gathered} a_6=a_{6-1}\ast6 \\ \\ a_6=a_5\ast6 \\ \\ a_6=120\ast6 \\ \\ a_6=720 \end{gathered}[/tex]We can see the 6th term is 720.
For the recursive formula, we have:
[tex]\begin{cases}a_1=1 \\ \\ n\ge2_{} \\ \\ a_n=a_{n-1}\ast n\end{cases}[/tex]ANSWER:
Sequence: 1, 1, 2, 6, 24, 120, 720, 5040, 40320
Explicit formula:
[tex]a_n=a_{n-1}\ast n[/tex]
Recursive formula:
[tex]\begin{cases}a_1=1 \\ \\ n\ge2_{} \\ \\ a_n=a_{n-1}\ast n\end{cases}[/tex]
Check each answer to see whether the student evaluated the expression correctly. If the answer is incorrect, cross out the answer and write the correct answer. Algebraic expressions 7p+5 when p=12Student answer7(12) +5 = 7(17) =119
Answers
Given the expression:
[tex]7p+5[/tex]We will find the value of the expression when p = 12
so, substitute with p = 12
[tex]7(12)+5=84+5=89[/tex]So, the student answer is incorrect
The correct answer will be 89
A line passes through the point (−10, 4) and has a slope of 3/2. Write an equation in slope-intercept form for this line.
Answers
The equation of the line in slope intercept form is y = 3/2x + 19
What are linear equations?Linear equations are equations that have constant average rates of change.
Note that the constant average rates of change can also be regarded as the slope or the gradient
How to determine the equation of the line?The given parameters are
Slope, m = 3/2
Points, (x1, y1) = (-10, 4)
A linear equation is represented as
y = slope * x + y-intercept
i.e.
y = m(x - x1) + y1
So, we have
y = 3/2(x + 10) + 4
Expand
y = 3/2x + 15 + 4
Evaluate the like terms
y = 3/2x + 19
Hence. the linear equation is y = 3/2x + 19
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help meeeeeeeeee pleaseee
Answers
The domain of the line in the graph is x∈R.
What is a domain?The set of all potential inputs for a function is its domain. For instance, the domain of f(x)=x² and g(x)=1/x are all real numbers with the exception of x=0. Additionally, we can define special functions with more constrained domains. Consider the function y = f(x), which has the independent variable x and the dependent variable y. A value for x is said to be in the domain of a function f if it successfully allows the production of a single value y using another value for x.So, the domain the line is:
From the given graph, we know that y = every time.Which means, in the given graph, y = x = 10.
This also means:
y = x = 9y = x = 11y = x = 10The values of x can go to infinity.
Then the domain will be x∈R.Therefore, the domain of the line in the graph is x∈R.
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solve for k=prt for p
Answers
consider the following functions which all have a value of 30 does each equation represent growth or decay
Answers
The general equation forms representing growth or decay is;
[tex]\begin{gathered} F=I(1+r)^{t\text{ }}orF=I(1-r)^t \\ F\text{ is future value} \\ I\text{ is initial value} \\ r\text{ is growth rate} \\ t\text{ is time} \\ (1-r)\text{ represents decay} \\ (1+r)\text{ represents growth} \end{gathered}[/tex]So let us consider the equations;
a) f(t) = 30(1.04)^t
f(t) = 30(1+0.04)^t
It is growth as it is greater than 1 and the growth rate is 0.04 = 4/100 = 4%
b) p(x) = 30(0.65)^x
P(x) = 30(1-0.35)^x
it is decay as it is less than 1
Growth rate is 0.35 = 35/100 = 35%
c) A(x) = 30(1.10)^x
A(x) = 30(1 + 0.1)^x
it is growth as it is greater than 1
0.1 = 10/100 = 10%
d) h(t) = 30(0.98)^t
h(t) = 30(1-0.02)^t
It is decay since it is less than 1
growth rate is;
0.02 = 2/100 = 2%
e) s(t) = 30(0.77)^t
s(t) = 30(1-0.23)^t
it is decay as it is less than 1
0.23 is growth rate = 23/100 = 23%
f) B(t) = 30(1.2)^t
B(t) = 30(1+0.2)^t
It is growth since it is greater than 1
0.2 = 20/100 = 20%
If a bank represents deposits with positive numbers and withdrawals as negative numbers, what could 6+ (-60) represent ?
Answers
Given:
A positive number shows a deposit
A negative number shows withdrawals.
Find-: What could $6+
-60 represent
Sol:
+6 represent is:
[tex]6\rightarrow\text{ Deposits}[/tex]-60 represent is:
[tex]60\rightarrow\text{ Withdrawals}[/tex]So the answer is:
$6 deposit followed by a $60 withdrawal
0.51 + 6.1 = 6.61 because 0.51 is precise to the hundredth digit, so theanswer must also be rounded to the nearest hundredth.A. TrueB. False
Answers
When two decimal numbers are added, the result is precise to the one that has the least precision.
For example,
0.51 + 6.1
Here 0.51 is precise to the hundredth place and 6.1 is precise to the tenth place.
So, the result will be precise to the tenth place since this was the least precision in the operation.
0.51 + 6.1 = 6.6
The formula for the volume of a cone with a base of radius r is . Find the radius to the nearest hundredth centimeter if the volume is 60 cm^3. Branliest to first correct answer
Answers
Answer:
not ennough information to answer the question
Step-by-step explanation:
1. Classify each angle pair as corresponding, alternate interior, alternate exterior,
same side interior, linear pair.
a) <1 and <5
b) <15 and <7
c) <11 and <1
d) <4 and <10
e) <8 and <13
f) <3 and <4
Answers
∠1 and ∠5 are a pair of corresponding angles.
∠15 and ∠7 are corresponding angles.
∠4 and ∠10 are a pair of alternate interior angles.
∠8 and ∠13 are a pair of co-interior angles.
∠3 and ∠4 are a pair of linear angles.
What are corresponding angles?
When two parallel lines are intersected by another line, comparable angles are the angles that are created in matching corners or corresponding corners with the transversal (i.e. the transversal).
What are alternate interior angles?
When a transversal connects two coplanar lines, alternate interior angles are created. They are located on the transverse sides of the parallel lines, but on the inner side of the parallel lines. At two different locations, the transversal passes through the two lines that are coplanar. These angles indicate whether or not the two provided lines are parallel to one another. When a transversal intersects two parallel lines, the angles that are created inside are equal to the alternate pairings of that transversal. Alternate interior angles are what they are termed.
What are alternate exterior angles?
The pair of angles on the outside of the two parallel lines but on the other side of the transversal are known as alternate exterior angles.
What are linear pair of angles?
When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°. These are also referred to as additional angles.
Following the above literature,
∠1 and ∠5 are a pair of corresponding angles since angles are created in matching corners or corresponding corners with the transversal.
∠15 and ∠7 are corresponding angles since angles are created in matching corners or corresponding corners with the transversal.
∠4 and ∠10 are a pair of alternate interior angles.
∠8 and ∠13 are a pair of co-interior angles.
∠3 and ∠4 are a pair of linear angles since pair's total angles are always equal to 180°.
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6. A newborn baby eats 8 times a day. At each feeding, he
eats 2.5 ounces of formula. How many ounces would the
baby eat in 1 week?
Answers
Answer:
140 ounces
Step-by-step explanation:
(8)(2.5)(7) = 140 ounces
I need help with the multiplication part to find the area
Answers
Explanation
Area:
[tex]A=\frac{16.5cm*12.8cm}{2}=\frac{211.2}{2}cm^2=105.6cm^2[/tex]What is the slope of the line passing through the points (-1, 7) and (4, -1)? 0 2 0-2 please answer quickly if you can
Answers
Answer:
answer in image
Step-by-step explanation:
Simplify: qp - 8m - m +1 - m; usee m= -3, p = 9, and q = 570-297616None of these answers are correct.
Answers
Answer:
76
Step-by-step explanation:
We are given the following expression:
qp - 8m - m + 1 - m
It can see simplified combining commom terms as:
qp + m(-8 - 1 - 1) + 1
Which is
qp - 10m + 1
Replacing m by -3, q by 5 and p by 9
5*9 - 10*(-3) + 1 = 45 + 30 + 1 = 76
The Inn at Fort Lee why
Answers
In this problem we have that
the solution is the shaded area above the dashed line
so
Find the equation of the dashed line
x -----> outside temperature
y ----> inside temperature
Find the slope
take the points (0,20) and (10,30)
m=(30-20)/(10-0)
m=10/10
m=1
the equation is
y=x+20
therefore
the inside temperature is always 20 degrees warmer than the outside temperature
answer is option BThe approximate volume in milliliters, y, for a volume of x fluid ounces is equal to 29.57 times the value of x. Which table represents this relationship?
Answers
Step-by-step explanation:
volumes of liquor because these are the ones which have volume and cm can be changed to millimeters
find the intervals for the function Y=f(x) whose graph is given below is increasing and where it is decreasing and find the value of the absolute minimum
Answers
In this problem we have a vertical parabola open upward
the vertex represents the absolute minimum
Looking at the graph
the vertex is the point (1,-3)
therefore
the function is increasing at the interval (1, infinite)
the function is decreasing at the interval (-infinite, 1)
the absolute minimum is (1,-3)
1. In 2014, the population of Florida was 19,580,000. Write the 2014 population of Florida in scientific notation.
Answers
The population of Florida in scientific notation 1.958 x [tex]10^{7}[/tex]
What is Scientific notation?
Numbers that are either too large or too little to be conveniently stated in decimal form can be expressed using scientific notation. It can also be referred to as standard form in the UK, standard index form, or scientific form.
Given,
19,580,000
We know that,
19580000 = 1.9580000(10000000)
10000000 = [tex]10^{7}[/tex]
Substitute
1.9580000([tex]10^{7}[/tex])
or, 1.958 x [tex]10^{7}[/tex]
Hence, The 2014 population of Florida in scientific notation is equal to 1.958 x [tex]10^{7}[/tex]
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I need urgent help with this math problem, please help me!
Answers
Answer:
See below
Step-by-step explanation:
The MONTHLY payment for each loan is just the interest and principal paid for each month
I just used the first line of each amortization:
First one 26 + 196 = $ 222 per month
Second one 26 + 127 = $ 153 per month
Sorry if the numbers are incorrect....the image is very fuzzy....
but this is the method for the answer .
Which value of x is in the domain of f(a)V-14?A. X = 13B. X=0C. X = 20D. X= -1SUBMIT
Answers
the answer is C x=20
Betty's Auto Wash earns revenues of $14 per customer. After serving 6 customers, how much revenue will Betty's Auto Wash have?
Answers
Given data:
The given revenue earn per customer is $14.
The expression for the given statement is,
1 customer= $14
Multiply the above expression by 6 on both sides.
6(1 customer)=6($14)
6 customers=$84
Thus, revenue earn by 6 customers is $84.
The sum of measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is three times the measure of the first angle. The third angle is 21 more than the second. Let x,y, and z represent the measures of the first, second, and third angles, respectively. Find the measures of the three angles.
Answers
The measure of all the three angles of a triangle will be 45°, 57° and 78° respectively.
What is Triangle?
A triangle is a three sided polygon , which has three vertices and three angles, whose sum is equal to 180 degree.
Given that;
The sum of measures of the angles of a triangle is 180.
The sum of the measures of the second and third angles is three times the measure of the first angle.
The third angle is 21 more than the second.
Now,
Let the measures of all the three angles are x , y and z.
Since, The sum of measures of the angles of a triangle is 180.
So, we can formulate;
x + y + z = 180° .... (i)
The sum of the measures of the second and third angles is three times the measure of the first angle.
So, we can formulate;
y + z = 3x ... (ii)
The third angle is 21 more than the second.
So, we can formulate;
z = 21 + y ... (iii)
Substitute value of z in equation (ii);
y + 21 + y = 3x
3x = 2y + 21
x = 2/3 y + 7
So, We can substitute x = 2/3y + 7 , y = y and z = 21 + y in equation (i), we get;
x + y + z = 180°
2/3 y + 7 + y + 21 + y = 180
2/3y + 2y + 28 = 180
8/3 y = 180 - 28
8/3 y = 152
y = 152 × 3 / 8
y = 57°
Hence, x = 2/3y + 7
x = 2/3 × 57 + 7
x = 2 × 19 + 7
x = 45°
And, z = 21 + y
z = 21 + 57
z = 78°
Thus, The measure of all the three angles of a triangle will be 45°, 57° and 78° respectively.
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Solve the system by the substitution method. *8x – 3y = -22y = 5x + 19 (-5,6) (4,-3) (0,-5) (-3,4)
Answers
8x - 3y = -22
y = 5x + 19
Substituting the second equation into the first one:
8x - 3(5x + 19) = -22
8x - 3*5x - 3*19 = -22
8x - 15x - 57 = -22
-7x = -22 + 57
x = 35/(-7)
x =
Suppose Chris borrows $ 7000 at an interest rate of 8% compounded each year.Assume that no payments are made on the loan.Follow the instructions below. Do not do any rounding.(a) Find the amount owed at the end of 1 year$0(b) Find the amount owed at the end of 2 years.$0Х?
Answers
Explanation
The formula for the Amount based on compound interest is given as:
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]Since the principal is compounded annually, therefore n =1. Also, P = principal = $7000, ratte = r = 8%, t= time
Hence when t = 1 year
[tex]\begin{gathered} A=7000(1+\frac{8}{100})^1 \\ A=7000(1.08) \\ A=7560 \end{gathered}[/tex]
Answer A: $7560
When t = 2 years
[tex]\begin{gathered} A=7000(1+\frac{8}{100})^2 \\ A=7000(1.08)^2 \\ A=8164.8 \end{gathered}[/tex]Answer B: $8164.8
The Heights(in inches)and the weight (in pounds)of a simplified women are recorded. round your answer to one decimal place ×=height. y=weight 66. 122 67. 13269. 15368. 13865. 125a) calculate the slope of B1 and the y-intercept Bl0) of the regression line. Write the regression equation.y= _____ x+_____b) Interest interpret the values of B1 and B0. For it each increase of 1 inches the estimate weight increase by_______ pounds. When x=0 inches weight the estimate weight is________ pounds
Answers
For the linear regression the dependent and independent variables are:
y: "weight of a woman" (measured in pounds)
x: "height of a woman" (measured in inches)
You have to calculate the estimated linear regression equation:
[tex]y^{}=b_{0\text{ }}+b_1x[/tex]Where
b₀ is the estimate of the y-intercept
b₁ is the estimate of the slope
To calculate both by hand you have to use the following formulas:
[tex]b_1=\frac{\sum ^n_1x_iy_i-\frac{(\sum^n_1x_i)(\sum^n_1y_i)}{n}}{\sum ^n_1x^2_i-\frac{(\sum ^n_1x_i)^2}{n}}[/tex][tex]b_0=y_{\text{bar}}+bx_{\text{bar}}[/tex]y bar and x bar are the sample means for the weight and height
n is the number of women observed, in this case the sample size is
n=5 women
Next calculate the needed summatories, i.e. add each obervation from the corresponding variables
∑xi= 335
∑xi²= 22455
∑yi=670
∑xiyi=44962
ybar=∑yi/n= 670/5=134 pounds
xbar=∑xi/n= 335/5=67 inches
Replace the values in the formulas:
Slope:
[tex]b_1=\frac{44962-\frac{335\cdot670}{5}}{22455-\frac{(335)^2}{5}}=7.20\text{ }\frac{pounds}{In}[/tex]y-intercept
[tex]b_0=134-7.20\cdot67=-348.4\text{pounds}[/tex]The estimated linear equation is:
y=-348.4+7.20x
b)
The y-intercept of the linear regression indicates the value of the estimated mean of the variable y when x equals zero.
The slope of the linear regresion insicates the change of the estimated mean of the variable y when the variable x increases one unit.
So in terms of this exercise you can interpret the y-intercept as:
-348.4pounds is the estimated average weight of women when their height is zero inches.
→ Note that this interpretation has no logical meaning, at least not one applicable in real life, but for the regression is a valid mathematical result and interpretation.
And the slope can be interpreted as:
7.2pounds/inches is the modification of the estimated average weight of weomen when their height increases 1 inch.
