Answer:
5
Step-by-step explanation:
Figure Y is the result of a transformation on Figure X. Which transformation would accomplish this?
A. a reflection over the x -axis
B. a rotation 90° clockwise about the origin
C. a rotation 180° counterclockwise about the origin
D. a translation 10 units to the left and 10 units down
A transformation would accomplish this include the following: C. a rotation 180° counterclockwise about the origin.
What is a rotation?In Mathematics and Geometry, the rotation of a point 180° about the origin in a clockwise or counterclockwise direction would produce a point that has these coordinates (-x, -y).
Furthermore, the mapping rule for the rotation of a geometric figure 180° counterclockwise about the origin is given by this mathematical expression:
(x, y) → (-x, -y)
Coordinates of point X (0, 4) → Coordinates of point Y = (0, -4)
Coordinates of point X (1, 3) → Coordinates of point Y = (-1, -3)
In conclusion, we can logically deduce that this transformation rule (x, y) → (-x, -y) would map Figure X onto Figure Y.
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A puzzle has 1080 pieces. How many pieces are 80% of the puzzle?
Answer:
864
Step-by-step explanation:
80/100 simplified is 4/5
so you do 4/5 of 1080
which is 1080 divided by 5 that is 216
and then 216 x 4 which is 864
Parker has 12 blue marbles. Richard has 34
of the number of blue marbles that Parker has.
Part A
Explain how you know that Parker has more blue marbles than Richard without completing the multiplication.
Enter equal to, greater than, or less than in each box.
Multiplying a whole number by a fraction
less than
1 results in a product that is
the original whole number.
Part B
How many blue marbles does Richard have? Enter your answer in the box.
blue marbles
Sixty men can build a wall in 40days but though they begin the work together, 55 men quit every ten days. The Time needed to build the wall is?
It would take 370 days to build the wall with the given conditions.
If 60 men can build a wall in 40 days, then the total man-days required to build the wall is:
60 men x 40 days = 2400 man-days
However, 55 men quit every ten days, which means that after 10 days, there are only 60 - 55 = 5 men left to work on the wall. After 20 days, there are only 5 - 55 = -50 men left, which means that the remaining 5 men cannot work any faster than they were already working. Therefore, we can assume that the remaining 5 men complete the wall on their own.
The number of man-days required for the first 10 days is:
60 men x 10 days = 600 man-days
The number of man-days required for the second 10 days is:
5 men x 10 days = 50 man-days
The total number of man-days required for the first 20 days is:
600 man-days + 50 man-days = 650 man-days
The remaining work can be completed by the 5 men in:
2400 man-days - 650 man-days = 1750 man-days
Therefore, the total time needed to build the wall is:
20 days + 1750 man-days / 5 men = 20 + 350 days = 370 days
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Among the ledger accounts used by Rapid speedway are the following: Pre p aid Rent, Rent Expense, Unearned Admissions Revenue, Admissions Revenue, Prep aid Printing, Printing Expense, Concessions Receivable, and Concessions Revenue. For each of the following items, provide the journal entr y ( if one is needed ) to record the initial transaction and provide the adjusting entry, if any, required on Ma y 31, assuming the company makes adjusting entries monthly.
The ledger account for the information is provided in the image below:
What is a Ledger Account?A ledger is an accounting book or group of books where account transactions are noted.
Each account has a beginning or carry-forward balance, as well as the ending or closing balance, and would record each transaction as either a debit or credit in distinct columns.
The three types of ledgers are:
General ledger.Sales ledger or debtor's ledger.Purchase ledger or creditor's ledger.The Sales Ledger serves as a record of your sales, as well as whether you have received payment and how much is still outstanding.
The entire amount that Clients still owe you is typically listed as "Trade Debtors" or "Accounts Receivable" on the Balance Sheet.
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Use the to the right the value of PT. T is the midpoint of PQ
PT=7x+5 and TQ=9x-9
By using the figure below, the value of line segment PT is equal to 54 units.
How to determine the midpoint of a line segment?In Mathematics, the midpoint of a line segment with two endpoints can be calculated by adding each point on a line segment together and then divide by two (2).
Since T is the midpoint of PQ, we have the following:
Line segment PT = Line segment TQ
7x + 5 = 9x - 9
9x - 7x = 9 + 5
2x = 14
x = 14/2
x = 7.
Now, we can determine the value of PT:
PT = 7x + 5
PT = 7(7) + 5
PT = 54 units.
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Complete Question:
Use the figure to the right to find the value of PT. T is the midpoint of PQ PT=7x+9 and TQ=9x-5
7) m² - 12m +26=0 find the vertex
Answer:
(14, -2)
I could totally be wrong though, I haven't done this type of math in years.
Emily hires a gardener to do some work in her back yard. The gardener charges a fixed cost of $50 plus $60 per hour.
What is the cost for 1 hour?
Answer:
For 1 hour, the coat would be
50( his fixed cost) + 60( cost per hour)
=$110
Who ever answers this will get a year of good luck also 25 points I think
the first one is 0.00001
Step-by-step explanation:
its on the screen
Answer:
Try the underline first
1. 1/7^7 or 10^-6
2. 1/100000 or 10^-5
3. 1/9 or 3^-2
4. 1/512 or 2^-9
Graph the system of inequalities. Then use your graph to identify the point that
represents a solution to the system.
x + y2 3
x-3y< 2
(6, 1)
(8,-1)
(6,2)
O (6,-2)
The coordinates in the solution to the systems of inequalities graphically is (6, 2)
Solving the systems of inequalities graphicallyFrom the question, we have the following parameters that can be used in our computation:
x + y > 3
x - 3y < 2
Next, we plot the graph of the system of the inequalities
See attachment for the graph
From the graph, we have solution to the system to be the shaded region
The coordinates in the solution to the systems of inequalities graphically is (6, 2)
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A suspect of a crime is traveling on 26th Street toward Cherry Street. The diagram shows the locations of the suspect and a police officer. Your friend says that the officer should wait at point C to intercept the suspect because the officer will have the same distance to travel no matter which route the suspect takes. Is your friend correct? Explain.
AC is not equal to CE based on the angle bisector theorem. The answer is: C. NO, you cannot use the angle bisector theorem to determine that AC = CE.
What is the Angle Bisector Theorem?According to the angle bisector theorem, when a line segment divides an angle of a triangle, the line segment also divides the opposite side but does so in such a way that the two segments are proportional to the other two sides of the triangle. However, the two segments are not congruent to each other.
In the diagram given below that shows the suspect, the police officer, and the 26th Street toward Cherry Street, the angle bisector divides the side opposite to the angle divided into AC and CE. Thus, their length cannot be ascertain to be congruent to each other, however, based on the angle bisector theorem, we can only prove that their length is proportional to the other two sides of the triangle.
Therefore, we can conclude as saying:
C. NO, you cannot use the angle bisector theorem to determine that AC = CE.
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Evaluate 5|7 - 9| - 2.
Answer:
5|7 - 9| - 2 = 8
the radius of a cylindrical construction pipe is 3 ft . If the pipe is 25ft long , what is it’s volume ?
Given:
radius of a cylindrical construction pipe is 3 ft
lenghtis 25ft long
Required:
what is it’s volume
Explanation:
volume of cylinder:
\(\begin{gathered} V=\pi r^2h \\ \\ here\text{ h is the length of the pipe} \\ \\ V=3.14\times(3)^2\times25 \\ \\ V=3.14\times9\times25 \\ \\ V=707\text{ ft}^3 \end{gathered}\)Required answer:
\(V=707\text{ ft}^3\)7. The Taylor Rule states that the central bank should set the short-term nominal interest rate (i)
based on the inflation gap [the difference between inflation (3.14) and desired inflation (3.14*)] and the
output gap (the percentage difference between real GDP (Y) and potential GDP (Y*) An
example of a Taylor Rule would be the formula
i - 3.14 = 1.5 +0.5(3.14-3.14*) +0.5 (Y-Y*/Y*)
The term on the left-hand side is the real interest rate. Consider the following table
Inflation rate (3.14), %
Target inflation rate (3.14*), %
Output gap, %
Real interest rate
Nominal interest rate
Base Scenario Scenario B Scenario C
4.0
20
2.0
20
0.0
20
20
20
00
a. Fill in the real and nominal interest rates chosen by the policy maker in the base scenano
b. How does scenario B differ from the base scenario in terms of the inflation and output gaps?
Calculate the real interest rate. Has the real interest rate moved in the direction that would
move the inflation rate toward its target?
c. How does scenario C differ from the base scenario in terms of the inflation and output gaps?
Calculate the real interest rate. Has the real interest rate moved in the direction that would
move output toward the potential level?
d. Suppose a new chair of the central bank is appointed and she switches to a new policy rule of
the form given in the next equation. Recalculate the real and nominal interest rates for the
three scenarios. What has been the effect of the change in weights?
i-3.14=1.5 +0.75(3.14-3.14*) +0.25(Y-Y*/Y*)
The weight on the inflation gap has increased from 0.5 to 0.75. The real interest rate is 16.86% and Nominal interest rate is 20%
a. In the base scenario, the real interest rate will be 20%, and the nominal interest rate will be 20%.
b. In scenario B, inflation rate will be higher (4%) compared to the base scenario (3.14%).
Output gap is 0% in both the scenarios, however, in the base scenario inflation gap is 0% (3.14 - 3.14) and in scenario B, inflation gap is 0.86% (4 - 3.14).
Now, let's calculate the real interest rate.
Real interest rate in base scenario = 20% - 3.14%
= 16.86%.
Real interest rate in scenario B = 20% - 3.14% + 1.5 + 0.5 (4-3.14) + 0.5 (0-0/0)
= 19.22%.
The real interest rate has moved in the direction to move inflation rate towards its target.
c. In scenario C, the output gap will be 20% compared to 0% in the base scenario.
Inflation gap is 0% in both the scenarios
Inflation rate is 3.14% and in scenario C, inflation rate is 2%.
Let's calculate the real interest rate. Real interest rate in the base scenario = 20% - 3.14%
= 16.86%.
Real interest rate in scenario C = 20% - 2% + 1.5 + 0.5 (3.14 - 3.14) + 0.5 (20-0/20)
= 20.15%.
Real interest rate in scenario C = 20% - 2% + 1.5 + 0.75 (3.14-3.14) + 0.25 (20-0/20) = 18.78%.
The new policy rule has changed the weight of the output gap in the Taylor Rule from 0.5 to 0.25.
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13 Calculate the area of a circle with radius 14 cm.
Answer:
\({ \tt{formular : {area = \pi {r}^{2} }}} \\ area = 3.14 \times {14}^{2} \\ \\ { \bf{answer : { \tt{area = 615.75 \: {cm}^{2} }}}} \\ \\ { \underline{ \blue{ \tt{⚜becker \: jnr}}}}\)
Answer:
A≈ 615.75 \(cm^{2}\)
Step-by-step explanation:
A= \(\pi\)\(r^{2}\)
A= \(\pi\)·\(14^{2}\)
A≈ 615.75216 \(cm^{2}\)
If y = 6x + 1, find y when x = 9
Answer:
55
Step-by-step explanation:
if x=9 and y = 6x + 1
then all what you have to do is that you should substitute x by 9 in y equation as the following,
y = 6*(9) + 1 =54 + 1 = 55
Answer:
55
Step-by-step explanation:
Given,
y = 6(x)+1
x = 9Substituting x= 9 on the given expression,
y = 6(9)+1y = 54 + 1y = 55Hence y = 55.
-9x - y = -14
-2x + y = 3
Answer: x = 1 , y = 5
Step-by-step explanation:
Which linear inequality is represented by the graph?
O y < 3x + 2
Oy> 3x + 2
Oy< 1/3x + 2
O y>1/3x+2
Answer:
\(y> 3x + 2\)
Step-by-step explanation:
Hope it is helpful....
The linear inequality that represents the given graph is y > 3x + 2.
The solutions to the graph of the inequalities is given as;
(x, y) = (0, 2)
(x, y) = (-3, -7)
To determine the inequality represented in the graph;
Using option A, when x = 0, y < 2 (this is not same as the graph)Using option B, when x = 0, y > 2 ( same as the graph)Using option B, when x = -3, y > -7Thus, the linear inequality that represents the given graph is y > 3x + 2.
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A model rollercoaster is built to a scale of 1:32. In the model rollercoaster, the angle between the ground and the steepest slope is 110°. What is the angle between the ground and steepest slope on the real rollercoaster?
The angle between the ground and the steepest slope on the real rollercoaster is approximately 89.998°.
A model rollercoaster is built to a scale of 1:32. In the model rollercoaster, the angle between the ground and the steepest slope is 110°.What is the angle between the ground and the steepest slope on the real rollercoaster?
To determine the angle between the ground and the steepest slope on the real rollercoaster, you need to consider the scale of the model rollercoaster.To find the real rollercoaster angle, you should use a scale factor that relates the model rollercoaster to the real one.
The scale factor should multiply the model angle to obtain the real one. Since the scale factor relates the model length to the real length, it should relate the horizontal distance and the vertical height.
The horizontal and vertical lengths are in a ratio of 32:1 for the model. This means that for every 32 units in the model, there is one unit in the real rollercoaster. Therefore, we can say that the horizontal length of the real rollercoaster is 32 times the horizontal length of the model rollercoaster.
That is:h(real) = 32h(model)Similarly, the vertical height of the real rollercoaster is 32 times the vertical height of the model rollercoaster. That is:v(real) = 32v(model)
The tangent of an angle equals the vertical height divided by the horizontal distance. Therefore, the tangent of the real angle equals the tangent of the model angle times the scale factor.
That is:tanθ(real) = 32tanθ(model)By substitution,θ(real) = arctan(32tanθ(model))For the given model angle of 110°,
the corresponding real angle is:θ(real) = arctan(32tan110°)θ(real) = arctan(32(-2.74747741945462))θ(real) = arctan(-87.91927694142864)θ(real) ≈ -89.998°
The negative sign indicates that the angle is measured below the horizontal line.
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Aladder is leaning against a building so that the distance from the ground to the top of the ladder is 1 foot less than the length of the ladderFind the length of the ladder the distance from the bottom of the ladder to the building is 5 feet
Answer:
13
Step-by-step explanation:
5²+x²=(x+1)²
25+x²=x²+2x+1
2x=24
x=12
ladder = x+1 = 12+1 = 13
19-x²
if x = -5
How would you solve this math problem?
The solution to the math problem is -6.
A math problem is a problem that can be represented, analyzed, and probably solved, with the techniques of arithmetic. This will be an actual-world problem, inclusive of computing the orbits of the planets inside the solar gadget, or trouble of a greater summary nature, such as Hilbert's problems.
The Collatz Conjecture is the only math problem no person can resolve it is straightforward and sufficient for almost every person to recognize but notoriously difficult to resolve.
= 19 - ( - 5 ) ²
= 19 - ( 25 )
= 19 - 25
= - 6
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Which of the following best describes term response variable
The dependent variable responds to variations in the separate variable manipulated during the experiment. It allows you to understand whereas if changes involved possess or are not significantly linked or whether they are because of certain factors.
The variable may change as that of the explained variable modifications.It's (dependent variable), which wishes to predict and explain is a response variable.An explanatory variable explains the changes.It can be anything that affects the variable response.It was only on the y-axis always (the vertical axis).Learn more:
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Each side length of a triangle is 4 cm. What type of triangle is it?
☐ right
□acute
Equilateral
Isosceles
Answer: Equilateral
Step-by-step explanation:
It's equilateral because it says that each side of the triangle is 4cm. In simple words, all the sides of triangle are equal. Such a triangle is called an equilateral triangle.
Hope you understood.
You have a beaker of water that is currently at 70 degrees Fahrenheit.
You add some ice to lower the temperature by 15 degrees. What
temperature do you want the water to go down to? I NEED HELP ASAP.
Answer:
7 degrees farenhight.
Step-by-step explanation:
A rumor spreads through a small town. Let y(t) be the fraction of the population that has heard the rumor at time t and assume that the rate at which the rumor spreads is proportional to the product of the fraction y of the population that has heard the rumor and the fraction 1−y that has not yet heard the rumor.
a. Write the differential equation satisfied by y in terms of proportionality k.
b. Find k (in units of day−1, assuming that 10% of the population knows the rumor at time t=0 and 40% knows it at time t=2 days.
c. Using the assumptions in part (b), determine when 75% of the population will know the rumor.
d. Plot the direction field for the differential equation and draw the curve that fits the solution y(0)=0.1 and y(0)=0.5.
Answer:
The answer is shown below
Step-by-step explanation:
Let y(t) be the fraction of the population that has heard the rumor at time t and assume that the rate at which the rumor spreads is proportional to the product of the fraction y of the population that has heard the rumor and the fraction 1−y that has not yet heard the rumor.
a)
\(\frac{dy}{dt}\ \alpha\ y(1-y)\)
\(\frac{dy}{dt}=ky(1-y)\)
where k is the constant of proportionality, dy/dt = rate at which the rumor spreads
b)
\(\frac{dy}{dt}=ky(1-y)\\\frac{dy}{y(1-y)}=kdt\\\int\limits {\frac{dy}{y(1-y)}} \, =\int\limit {kdt}\\\int\limits {\frac{dy}{y}} +\int\limits {\frac{dy}{1-y}} =\int\limit {kdt}\\\\ln(y)-ln(1-y)=kt+c\\ln(\frac{y}{1-y}) =kt+c\\taking \ exponential \ of\ both \ sides\\\frac{y}{1-y} =e^{kt+c}\\\frac{y}{1-y} =e^{kt}e^c\\let\ A=e^c\\\frac{y}{1-y} =Ae^{kt}\\y=(1-y)Ae^{kt}\\y=\frac{Ae^{kt}}{1+Ae^{kt}} \\at \ t=0,y=10\%\\0.1=\frac{Ae^{k*0}}{1+Ae^{k*0}} \\0.1=\frac{A}{1+A} \\A=\frac{1}{9} \\\)
\(y=\frac{\frac{1}{9} e^{kt}}{1+\frac{1}{9} e^{kt}}\\y=\frac{1}{1+9e^{-kt}}\)
At t = 2, y = 40% = 0.4
c) At y = 75% = 0.75
\(y=\frac{1}{1+9e^{-0.8959t}}\\0.75=\frac{1}{1+9e^{-0.8959t}}\\t=3.68\ days\)
NO LINKS!! URGENT HELP PLEASE!!!
9. Find the equation of the PARABOLA with a vertex at (-2, 6) and passing through the point (1, -3)
Answer:
y= -x²-4x+2
Step-by-step explanation:
write in vertex form
a(x-h)²+k
in our case h = -2 and k= 6
y=a(x+2)²+6
now we just need to solve for a. we know that when x= 1 y = -3. plug these values in and solve for a
-3= a(1+2)²+6
-9=9a
a= -1
thus the formula is -(x+2)²+6
generally, teachers want things in standard form, so expand the exponent and simplify.
-(x²+4x+4)+6
y= -x²-4x+2
Answer:
\(y = -x^2 - 4x + 2\)
Step-by-step explanation:
The equation of a parabola in vertex form is:
\(y = a(x - h)^2 + k\)
where (h, k) is the vertex of the parabola.
In this case, the vertex is (-2, 6), so h = -2 and k = 6.
We also know that the parabola passes through the point (1, -3).
Plugging these values into the equation, we get:
\(-3 = a(1 - (-2))^2 + 6\)
\(-3 = a(3)^2 + 6\)
-9 = 9a
a = -1
Substituting a = -1 into the equation for a parabola in vertex form, we get the equation of the parabola:
\(y = -1(x + 2)^2 + 6\)
This equation can also be written as:
\(y = -x^2 - 4x -4+6\\y=x^2-4x+2\)
what steps are needed to find the equation of a line given the graph?
The equation of the line is y = x.
To find the equation of a line given its graph, you need to follow the steps below.
Step 1: Determine the slope of the line.The slope of the line can be determined using the formula: slope = rise/run or m = Δy/Δx. Rise is the change in the y-coordinates and run is the change in the x-coordinates.
Step 2: Determine the y-intercept of the line.The y-intercept is the point where the line intersects the y-axis. You can determine the y-intercept by looking at the point where the line crosses the y-axis on the graph. The y-intercept is denoted by the letter b.
Step 3: Write the equation of the lineThe equation of the line can be written in slope-intercept form, which is y = mx + b. The slope (m) and y-intercept (b) that were determined in steps 1 and 2 are used to substitute into this equation. Thus, the equation of the line becomes y = slope(x) + y-intercept.
Example:Let's say you are given the graph of a line below: .
Step 1: Determine the slope of the line.To determine the slope of the line, you need to choose two points on the line and calculate the rise and run. Let's choose the points (2, 1) and (4, 3). The rise is 2 (3 - 1) and the run is 2 (4 - 2). Therefore, the slope of the line is: m = 2/2 = 1.
Step 2: Determine the y-intercept of the lineThe line crosses the y-axis at the point (0, 0). Therefore, the y-intercept of the line is b = 0.
Step 3: Write the equation of the line.The equation of the line in slope-intercept form is y = mx + b. Substituting the slope and y-intercept into this equation gives: y = 1x + 0 or y = x.
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Evaluate.
16 ÷ (2 + 1/2) ^2
A) 2 14/25
B) 4 1/4
C) 6 2/5
D) 8 1/4
Answer:
\(\bold{2\frac{14}{25}}\)
Step-by-step explanation:
Follow the PEMDAS order of operations
P = Parenthesis
E = Exponents
M = Multiplication
D = Division
A = Addition
S = Subtraction
Step 1: Parenthesis
The first operation is parenthesis "()", and we have parenthesis so we solve the parenthesis first.
\(16\div(2+\frac{1}{2})^2\\\\=\frac{16}{\left(2+\frac{1}{2}\right)^2}\)
\(\underline{\mathrm{Solve}}\\\\(2+\frac{1}{2})\\\\=2+\frac{1}{2}\\\\=2\frac{1}{2}\)
\(\frac{16}{\left(2\frac{1}{2}\right)^2}\)
Step 2: Exponents
The Exponent is the tiny number on top of a bigger number. For example, we have \(2\frac{1}{2}^\bold{2}\), and the bolded part is the exponent. And the number there is how many times you will multiply the bigger number to itself. So we can simplify:
\((2\frac{1}{2})^2\\\\=2\frac{1}{2}\times2\frac{1}{2}\\\\=6\frac{1}{4}\)
\(\frac{16}{6\frac{1}{4}}\)
Step 3: Division
We don't have any multiplication, so we skip to the next operation in the order. Division:
\(\frac{16}{6\frac{1}{4}}=2\frac{14}{25}\\\\\bold{2\frac{14}{25}}\)
9.
8. © MP.3 Construct Arguments Jake says
adding O to an addend does not change
a sum. Is he correct? Explain. Include an
equation in your explanation.
Jake's Argument is correct, adding zero (0) to an addend does not change a sum.
Addend is number which is added to another number.
For example:
y + 5 = 8
where;
5 is the addend number of y in the equation.Adding zero (0) to an addend does not change a sum. An example is present below;
5 + 3 = 8
add zero (0) to 3 and check if the final result will change;
5 + (3 + 0) = 5 + 3 = 8
Thus, Jake's Argument is correct, adding zero (0) to an addend does not change a sum.
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Juan’s father is paying for a $45 meal. He has a 10%-off coupon for the meal. After the discount, an 8% sales tax is applied. What does Juan’s father pay for the meal? Explain or show your reasoning.
Answer:
$43.74
Step-by-step explanation:
will pay= $45
10% of =$45×10/100=$4.5
so, $45-$4.5= $40.5
8% tax= $40.5×8/100 =$3.24
total= $43.74