Answers
The first function is a quadratic or curve meaning x has an exponent. Since it’s to the left of an open circle, we use <
The second function is linear equation so x has no exponent. Since it’s to the right of a closed circle, we use greater than or equal to >/=
Related Questions
The following scatterplot shows the percentage of the vote a candidate received in the 2016 senatorial elections
according to the voter's income level based on an exit poll of voters conducted by a news agency. The income
levels 1-8 correspond to the following income classes:
1 = Under $15,000; 2 = $15-30,000; 3 = $30-50,000; 4 = $50-75,000; 5 = $75-100,000;
6 = $100-150,000; 7 = $150-200,000; 8 = $200,000 or more.
Use the election scatterplot to the find the critical values corresponding to a 0.01 significance level used to test
the null hypothesis of ρs = 0.
A) -0.881 and 0.881
B) -0.881
C) -0.738 and 0.738
D) 0.881
Answers
The critical values corresponding to a 0.01 significance level used to test the null hypothesis of ρs = 0 is (a) -0.881 and 0.881
How to determine the critical values corresponding to a 0.01 significance level?The scatter plot of the election is added as an attachment
From the scatter plot, we have the following highlights
Number of paired observations, n = 8Significance level = 0.01Start by calculating the degrees of freedom (df) using
df =n - 2
Substitute the known values in the above equation
df = 8 - 2
Evaluate the difference
df = 6
Using the critical value table;
At a degree of freedom of 6 and significance level of 0.01, the critical value is
z = 0.834
From the list of given options, 0.834 is between -0.881 and 0.881
Hence, the critical values corresponding to a 0.01 significance level used to test the null hypothesis of ρs = 0 is (a) -0.881 and 0.881
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A pair of shoes is reduced by 30% down to a price of £56
What was the original price of the shoes?
Answers
Answer:
To know the final result we have to make 30% of 56 dollars and add the result to the 56 dollars to know the original price.
Operations:
30% de 56 = (30x56)/100= 16,8 dollars.
56+16,8= 72,8 dollars (final result)
A pair of shoes is reduced by 30% down to a price of £56 then the original price of the pair of shoes was £80.
To find the original price of a pair of shoes using a mathematical approach. We are given that the shoes were reduced by 30% and their final price is £56. We will use algebraic equations to determine the original price of the shoes.
Let's denote the original price of the shoes as "P". Since the shoes were reduced by 30%, we can express this reduction as a decimal, which is 0.30 (30% = 30/100 = 0.30).
The amount of reduction is then given by 0.30 multiplied by the original price, which is 0.30P.
The final price of the shoes after the reduction is £56. We can set up an equation to represent this:
P - 0.30P = 56
Now, let's simplify the equation:
0.70P = 56
Next, we need to isolate "P" on one side of the equation. To do this, we divide both sides by 0.70:
[tex]\[ \frac{{0.70P}}{{0.70}} = \frac{{56}}{{0.70}} \][/tex]
This simplifies to:[tex]\[ P = \frac{{56}}{{0.70}} \][/tex]
Now, let's calculate the value of "P":
[tex]\[ P = \frac{{56}}{{0.70}} = 80 \][/tex]
So, the original price of the pair of shoes was £80.
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A bird flies 50km everyday to collect food for his offspring and 20km to drink water. To fly this distance takes him 1 hour and 40 minutes. What’s his average speed during flight?
Answers
Answer:
Step-by-step explanation:
speed = 50 km / hr.
distance = 20 km
time = distance / speed.
time = ( / 50) hr.
speed = 2 km/hrs
The wall, shown above in Figure 105.1401, has an overall length that is 37’ and 8 1/4" . Three receptacle outlets are to be installed in this wall. L2 is twice as long as L1 . L1 should be _____' _____''.
Answers
Since L₂ is twice as long as L₁, the length of L₁ should be 12' and 6 3/4".
How to calculate the length (L₁)?First of all, we would convert the value of the overall length in feet to inches as follows:
1 feet = 12 inches
37 × 8 1/4 feet = X inches
Cross-multiplying, we have:
X = 1809/4 inches.
Since L₂ is twice as long as L₁, we have:
L₂ = 2L₁
Also, the overall length is given by:
T = 2L₁ + 2L₂
T = L₂ + 2L₂
T = 3L₂
1809/4 = 3L₂
L₂ = 1809/4 × 1/3
L₂ = 1809/12
L₂ = 150.75''
L₂ = 12' and 6 3/4".
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2.
David swam 800 m in 20 minutes. Find his average speed in m/min.
Answers
Answer:
40 meters a minute
Step-by-step explanation:
800m - 20 min
800/20
40m-1 min
Find the measure of Angle BAC.
Answers
Applying the inscribed angle theorem, the measure of angle BAC is: 110°.
What is the Inscribed Angle Theorem?According to the inscribed angle theorem, the measure of angle BAC is half the measure of the intercepted arc, x + 50°.
x - 30 + x + 50 = 360
2x + 20 = 360
2x = 360 - 20
2x = 340
x = 170
m∠BAC = 1/2(x + 50)
Plug in the value of x
m∠BAC = 1/2(170 + 50)
m∠BAC = 110°
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Elliot borrows $3,000 from a bank that is charging three percent simple interest per year. If he pays the loan back in six months, how much interest will he pay? $30.00
$45.00
$90.00
$300.00
Answers
Answer:
The answer to that question depends
beacuse where ever you are it changes like uk you can pay 100€
or japan it can be around 1000¥
area of regular polygon?
Answers
[tex]\huge\purple{Hi!}[/tex]
The area of a regular polygon is one-half the product of its apothem and its perimeter.
Solve Log6( x) = -2
Answers
Which choice shows 40 + 30+ 10 rewritten correctly using the commutative property and then simplified correctly?
Answers
Answer:
40 + 10 + 30 = 50 + 30 = 80
Step-by-step explanation:
40 + 10 + 30 = 50 + 30 = 80
Answer:
10(4+3+1)
Step-by-step explanation:
Expand 40+30+10 by the distributive property:: 10(4+3+1)
Trapezoid FGHJ is inscribed in P as shown. If FG = 24, JH = 10, and the diameter of P is 26, find the area of the trapezoid. (Hint: draw in auxiliary lines). Round to the nearest tenth if necessary.
Answers
Answer:
221
Step-by-step explanation:
If the diameter is 26, the radius is 13 (which is the same as the perpendicular from P to JH)
So, the area is
[tex]\frac{1}{2}(13)(24+10)=221[/tex]
Please help
Use the parabola tool to graph the quadratic function f(x)=−2(x+4)^2−3
Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.
Answers
Due to length restrictions, we kindly invite to read the explanation of this question and the image of parabola on Cartesian plane attached below to see the results.
How to graph a quadratic function
To graph a parabola, we shall follow the following procedure:
Mark the vertex of the parabola on the Cartesian plane.Mark at least two pairs of values on the Cartesian plane, one on the right of the vertex and other on the left of the vertex.Match the points to create the resulting curves.By following all the steps, we generate the curve with the help of a graphing tool.
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72 is 15% of what number?
Answers
Answer: 480
Step-by-step explanation:
72/3 is 5% of the number we are looking for.
72/3=24
24*20 will be 100%
480 is 100%
72 is 15% of what number?
Quantity %
72---------------15
x---------------100
We solve
[tex]\boldsymbol{\sf{x=\dfrac{72\times100 }{15}=\dfrac{7200}{15}=480 }}[/tex]
Answer: 72 is 15% of 480.
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Find the value of B - A if the graph of Ax + By = 3 passes through the point (-7,2), and is parallel to the graph of x + 3y = -5
Answers
Answer: -6
Step-by-step explanation:
[tex]x+3y=-5\\\\3y=-x-5\\\\y=-\frac{1}{3}x-\frac{5}{3}[/tex]
So, since parallel lines have the same slope, the slope of the line we need to find is -1/3.
Substituting into point-slope form, the equation is
[tex]y-2=-\frac{1}{3}(x+7)\\[/tex]
Converting to the required form,
[tex]y-2=-\frac{1}[3}x-\frac{7}{3}\\\\\frac{1}{3}x+y=-\frac{1}{3}\\\\-3x-9y=3[/tex]
So, B-A is equal to -6.
Consider the function f(x)=x
Describe the transformation of g(x)=2f(x-4)+2
The parent function ____ will undergo ____ transformations. The first transformation is a _____ reflect by a factor of ______. Next, the graph will shift ______ units to the ______. Finally, the graph will shift _____ units ____.
Please help me!
Answers
The parent function f(x) = x will undergo 3 transformations. The first transformation is vertically stretched by a factor of 2. Next, the graph will shift 4 units to the right. Finally, the graph will shift 2 units up
How to determine the transformation?The function is given as:
f(x) = x
This represents the parent function.
Start by stretching the function vertically by a factor of 2
This gives
f'(x) = 2x
Next, we shift the graph 4 units to the right
This gives
f''(x) = 2(x - 4)
Finally, we shift the graph 2 units up
This gives
f'''(x) = 2(x - 4) + 2
The number of transformations above is 3
Hence, the complete statement is:
The parent function f(x) = x will undergo 3 transformations. The first transformation is vertically stretched by a factor of 2. Next, the graph will shift 4 units to the right. Finally, the graph will shift 2 units up
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You are on the Arithmetic Reasoning section.
Q: If 12 men are needed to run 4 machines. How many men are needed to
run 20?
A. 24
B. 48
C. 60
D. 80
Answers
Answer:that will be c 60
Step-by-step explanation: Because 12/4 but than the machines turn to 20 so 4x5 equals 20 so you got to do it to both sides
12x5=60 so its 60 men to run 20 machines
Decreasing the number of years of a loan decreases the amount of interest repaid over the term of the loan. Suppose a dental hygienist has the option of a 30-year loan or a 25-year loan of $345,000 at an annual interest rate of 3.75%.
(a)
a) Calculate the monthly payment (in dollars) for each loan. (Round your answers to the nearest cent.)
30-year loan
25-year loan
b) Calculate the savings in interest (in dollars) by using the 25-year loan. (Round your answer to the nearest cent.)
Answers
Answer:
a) 30 yr: $1597.75; 25 yr: $1773.75
b) $43065.00
Step-by-step explanation:
The monthly payment for each loan can be found using the amortization formula, or a spreadsheet or calculator. The shorter 25-year loan has fewer and larger payments, but the net result is less interest paid.
a)The attached calculator shows the monthly payments to be ...
30 year loan: $1597.75 monthly
25 year loan: $1773.75 monthly
b)The number of payments is the product of 12 payments per year and the number of years. The total repaid is the monthly payment times the number of payments.
The difference in amounts repaid is the difference in interest charged.
360×1597.75 -300×1773.75 = $43065 . . . . savings using 25-year loan
__
Additional comment
The monthly payment on a loan of principal P at annual rate r for t years is ...
A = P(r/12)/(1 -(1 +r/12)^(-12t))
Some calculators and all spreadsheets have built-in functions for calculating this amount.
Write an equation for the function graphed below
Answers
f(x) = 12(x - 1)/[(x + 2)(x - 3)] is the equation of the function graphed as in the figure. This can be obtained using the formula of f(x) = P(X)/Q(X) by vertical asymptotes and factors of the polynomial.
Write an equation for the function:Let where P(X) and Q(X) are polynomial function.
The function has the following:
From the given graph, we can say that the vertical asymptotes x = - 2 and x = 3, this means that at values of x = -3 or x = 2, the denominator becomes zero and the function becomes undefined.This means that, -3 and 2 are roots of the denominator. Thus, the equation of the denominator is:
⇒ Q(X) = (x + 2)(x - 3)
From the given graph, we can say that the zero is 3, P(X) has the factor (x - 3)
Let a be the leading coefficient of P(X)
⇒ P(X) = a(x - 1)
Now for finding the value of a we can rewrite the equation as,
⇒ f(x) = P(X)/Q(X)
⇒ f(x) = a(x - 1)/[(x + 2)(x - 3)]
⇒ f(0) = a(0 - 1)/[(0 + 2)(0 - 3)]
Since from the graph we can say that the y-intercept is (0, - 2), this means that when x = 0, y = -2, f(0) = - 2
⇒ - 2 = -a/[(2)(- 3)]
⇒ a = - 2 × 2 × 3
⇒ a = - 12
By putting a = -12 in f(x) we get,
⇒ f(x) = 12(x - 1)/[(x + 2)(x - 3)]
Hence f(x) = 12(x - 1)/[(x + 2)(x - 3)] is the equation of the function graphed as in the figure.
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QUESTION IS DOW BELOW 5 POINTS EACH PLEASE HELP PLEASE HELP PLEASE HELP
Answers
Applying the central angle theorem, we have:
a. angle BAC.
b. arc BEC
c. arc BC
d. Measure of arc BEC = 260°
e. Measure of arc BC = 100°
What is the Central Angle Theorem?According to the central angle theorem, the central angle that is suspended at the center of a circle by two line segments (usually radii) have a measure that is equal to the measure of the intercepted arc. That is:
Measure of central angle = measure of intercepted arc.
What is a Major and a Minor Arc?
A major arc have a measure that is greater than 180 degrees or half a circle, while minor arcs have a measure that is less than 180 degrees or half a circle.
a. A central angle in the image given is: angle BAC.
b. One major arc in the given circle is arc BEC (greater than half a half a circle/180 degrees).
c. One minor arc in the given circle is arc BC (less than half a half a circle/180 degrees).
d. m∠BEC = 360 - 100
m∠BEC = 260°
m∠BEC = measure of arc BEC [central angle theorem].
Measure of arc BEC = 260°
e. Measure of arc BC = m∠BAC [central angle theorem].
Measure of arc BC = 100°
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What would the first step be in solving the equation 4/7x = 21
Answers
❄ Hi there,
the first step in solving this inequality is
multiplying (both sides) by 7[tex]\sf{\dfrac{4}{7}x\times7=21\times7}[/tex]. Look what happens on the left side!
[tex]\sf{4x=147}[/tex]
Multiplying both sides of an equation, or inequality, by the fraction's denominator, is a nice little trick when you need to get rid of fractions to solve in terms of a variable.
Finish solving for x by dividing both sides by 4 –
[tex]\sf{x=\dfrac{147}{4}}[/tex]
❄
Uncle Bill has planted fruits in the farm and 7/12 is watermelon.2/3 of the watermelon section is ruined from the storm.The rest is planted with lemon which isn’t ruined.What is the fraction of his farm which isn’t ruined?
Answers
The fraction of his farm which isn’t ruined is 11/18
Fractions and proportionFractions are written as a ratio of two integers. The given question will be solved using the method of proportion.
If Uncle Bill has planted fruits in the farm and 7/12 is watermelon, and 2/3 of the watermelon section is ruined from the storm, the fraction ruined from the storm is;
Fraction ruined from the storm = 2/3* (7/12)
Simplify to its lowest term to have:
Fraction ruined from the storm = 7/18
Determine the fraction of the firm that is not ruined
Fraction not ruined = 1 - 7/18
Fraction not ruined = 11/18
Hence the fraction of his farm which isn’t ruined is 11/18 if uncle Bill has planted fruits in the farm and 7/12 is watermelon.
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Find a formula for the nth term in this
arithmetic sequence:
a₁ = 7, a2 = 4, a3 = 1, a4 = -2, ...
an
=
[?]n +
Answers
-3n + 10
Answer:
[tex]a_{n} = -3n + 10[/tex]
Step-by-step explanation:
The arithmentic function formula is:
[tex]a_{n} = a_{1} + d(n-1)[/tex]
Let's plug in what we know. [tex]a_{1}[/tex] (the first term in our sequence) is 7. d (the common difference) is -3. This means we are subtracting 3 every time.
Plugging that in to the formula, we get
[tex]a_{n} = 7 -3(n-1)[/tex]
Now we distribute and combine like terms.
[tex]a_{n} = 7 - 3n +3[/tex]
[tex]a_{n} = 10 - 3n[/tex]
Change the order to fit the format and you get
[tex]a_{n} = -3n + 10[/tex]
what is angle JLK?
a. 23 degrees
b. 24 degrees
c. 67 degrees
d. 134 degrees
Answers
Answer:
Answer is c, 67.
Step-by-step explanation:
So angle L and K are going to be the same, and so its going to be:
46+2n=180, since 180* inside a triangle and n= both L and K.
180-46=134
134/2=67
Both K and L will be 67.
Answer is c, 67.
To check, 46+67+67=180
The measure of angle JLK is 67 degree.
What is a triangle?A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.
The angle L and K are going to be the same;
46+2n=180,
Since 180 inside a triangle and n= both L and K.
180-46=134
134/2=67
Both K and L will be 67.
The answer is c, 67.
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(sin alpha +cos alpha )2
Answers
Step-by-step explanation:
sin alpha^2 + 2sin alpha* cos alpha + cos alpha^2
sin alpha^2 + cos alpha^2 +2sin alpha* cos alpha
1+ 2sin alpha* cos alpha
1+sin2 alpha
Prove that :-
(sinA + secA)² + (cosA + cosecA)² = 1 + secAcosecA
Answers
May this answers be helps you to solve
The total cost to rent 5 chairs and 3 tables is $27. The total cost to rent 2 chairs and 12 tables is $81. What is the cost to rent each chair and each table
Answers
The cost to rent each chair is $1.5 and cost to rent each table is $6.5
Applications of systems of linear equationsFrom the question, we are to determine the cost to rent each chair and each table
Let c represent chair
and
t represent table
From the given information,
The total cost to rent 5 chairs and 3 tables is $27
That is,
5c + 3t = 27 ------------ (1)
Also,
The total cost to rent 2 chairs and 12 tables is $81
That is,
2c + 12t = 81 ---------- (2)
Now, solve the equations simultaneously
5c + 3t = 27 ------------ (1)
2c + 12t = 81 ---------- (2)
Multiply equation (1) by 2 and multiply equation (2) by 5
2 × [5c + 3t = 27 ]
5 × [2c + 12t = 81 ]
10c + 6t = 54 ------------- (3)
10c + 60t = 405 ------------- (4)
Subtract equation (4) from equation (3)
10c + 6t = 54
10c + 60t = 405
---------------------------
-54t = -351
t = -351/-54
t = 6.5
Substitute the value of t into equation (2)
2c + 12t = 81
2c + 12(6.5) = 81
2c + 78 = 81
2c = 81 - 78
2c = 3
c = 3/2
c = 1.5
∴ The cost of chair is $1.5 and cost of table is $6.5
Hence, the cost to rent each chair is $1.5 and cost to rent each table is $6.5
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A 1L IV contains 60meq of kcal. The IV was discontinued after 400ml has infused. How much lvl did the patient receive
Answers
If a 1L IV contains 60meq of kcal and the IV was discontinued after 400ml has infused, then the amount of IV received by the patient is 24meq of kcal.
Calculation for the Amount of IV
It is given that,
1L IV contains 60meq of kcal
⇒ 1000 mL of IV contains 60meq of kcal
⇒ 1 mL of IV will contain 60 / 1000 meq of kcal
As per the question,
The amount of IV infused in the patient = 400 mL
⇒ The amount of IV received by the patient in meq of kcal = 400 × (60 / 1000)
= 4 × 6
= 24 meq of kcal
Hence, the patient receives 24meq of kcal amount of IV.
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5. A Government of Canada V39065 issue 90-day T-bill achieved its highest rate of return on May
24, 2000, with a yield of 5.74%. It realized its lowest rate of return on February 26, 2010, with
a yield of 0.16%. Calculate the purchase price of a $100,000 T-bill on each of these dates. In
dollars, how much more yield did an investor realize in 2000 than in 2010?
Answers
Based on the yields to the Canadian government's T-bills, the purchase price of a $100,000 T-bill on each of these dates are:
May 24, 2000 = $98,565February 26, 2010 = $99,960The yield to the investor in 2010 more than 2000 was $1,395.
What was the price of the T-Bills?On May 24, 2000, the price was:
= 100,000 x ( 1 - 5.74% x 90/360 days)
= $98,565
On February 26, 2010, the price was:
= 100,000 x (1 - 0.16% x 90/360)
= $99,960
The difference in yield is:
= (100,000 - 98,565) - (100,000 - 99,960)
= $1,395
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Jeff decided to purchase a house, his mortage is a 30-year loan at 4.1 % compounded monthly. The final purchase price was $150,000.00 Jeff put down 2808.00 at closing. Find Jeffs monthly payment
Answers
Answer:
$711.23
Step-by-step explanation:
We assume the entire closing cost went to reducing the principal of the loan. Then the amount borrowed was $147,192.
Monthly paymentThe amortization formula tells you the monthly payment.
A = P(r/12)/(1 -(1 +r/12)^(-12t))
P is the principal, r is the annual rate, and t is the number of years.
The monthly payment is ...
A = $147,192(0.041/12)/(1 -(1 +0.041/12)^-360) ≈ $711.23
Jeff's monthly payment is $711.23.
PLEASE HELP I will give 50 points! PLEASE ANSWER CORRECTLY
In a school, 10% of the students have green eyes. Find the experimental probability that in a group of 4 students, at least one of them has green eyes. The problem has been simulated by generating random numbers. The digits 0-9 were used. Let the number "9" represent the 10% of students with green eyes. A sample of 20 random numbers is shown. 7918 7910 2546 1390 6075 2386 0793 7359 3048 1230 2816 6147 5978 5621 9732 9436 3806 5971 6173 1430 Experimental Probability = [?]% =
Answers
Using it's concept, the experimental probability that in a group of 4 students, at least one of them has green eyes is of 0.45 = 45%.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes. An experimental probability is calculated considering the results of previous trials.
In this problem, there were 20 trials. The digit 9, which represents a student with green eyes, appears at least once in 9 of the the trials, hence the probability is:
p = 9/20 = 0.45 = 45%.
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