Mathematics College

The current size of an image on Samuel's computer is shown below: A rectangle is shown. The length of the rectangle is labeled as length equal to 8 inches and the width is labeled as width equal to 10 inches. What are the dimensions of the image at fraction 1 over 2 times its current size

Answers

Answer 1
Length is equal to 4 and width is equal to 5. 

You can just divide each by 2. 
Answer 2

Answer:

The length and the width of image is  4 inches and 5 inches respectively

Step-by-step explanation:

Given : Length of rectangle is 8 inches

          Width of rectangle is 10 inches

To Find: What are the dimensions of the image at fraction [tex]\frac{1}{2}[/tex] times its current size

Solution:

Length of rectangle is 8 inches

Since we are given that the dimensions of the image at fraction [tex]\frac{1}{2}[/tex] times its current size

So, Length of image = [tex]\frac{1}{2} \times 8 = 4[/tex]

Thus the length of image is 4 inches.

Width of rectangle is 10 inches

Since we are given that the dimensions of the image at fraction [tex]\frac{1}{2}[/tex] times its current size

So, width of image = [tex]\frac{1}{2} \times 10 = 5[/tex]

Thus the width of image is 5 inches.

Hence the length and the width of image is  4 inches and 5 inches respectively.

Related Questions

The problem is in the picture

Answers

Answer:
∠1 and ∠2,
∠3 and ∠4,
∠5 and ∠6

Explanation:
Supplementary angles are angles opposite each other that share the same line that is being dissected by a perpendicular line. The sum of their angles will always equal 180 degrees.

Angles 1 and 2 are an example of such supplementary angles. They share the horizontal line but are being dissected by descending line which creates their angles.

Angles 3 and 4 are more of the same. They share the somewhat-vertical line and are dissected by a different descending line that created them.

Lastly, Angles 5 and 6 are also supplementary angles. They share the somewhat-vertical line and are dissected by the horizontal line, resulting in their angles.

Angles 7 and 8 are not supplementary angles. Rather, they are vertically-opposite angles, or vertical angle pairs, two angles lying opposite each other existing at the point where two lines intersect. These angles have the same exact measurement and their sum will never equal 180 degrees.

Find the length of AB , given that DB is a median of the triangle and AC = 24.

Answers

AB=12 because medians bisect the opposing side of a vertex.

Answer:

AB = 12 units                    

Step-by-step explanation:

We are given the following information in the question:

DB is the median of the triangle.

AC = 24 units

Property of median of a triangle:

A median of a triangle is a line segment joining a vertex to the midpoint of the opposite side.Thus, a median divides the side of triangle in two equal parts.

Thus, DB divides AC in two equal parts.

Thus, we could say:

AB = BC

We have to find the length of AB.

[tex]\text{AB} = \displaystyle\frac{AC}{2} = \frac{24}{2} = 12\text{ units}[/tex]

Thus, AB is 12 units.

What is the vertex of the quadratic y=-2x^2-4x-5

Answers

y=-2x²-4x-5

We will need to complete square to write the equation in the vertex form.

y=-2(x²+2x)-5
y=-2(x²+2x+1)-5+2
y=-2(x+1)² - 3
Vertex (-1,-3)

Answer:

(-1,-3)

Step-by-step explanation:

I just took the test, and I got 100%!!!

Hey can you please help me posted picture of question

Answers

A compound event is defined as an event which has more than 1 possible outcomes.

In given case, Karen has to find the probability of a number greater than 4 which can appear when a die is rolled. The possible outcomes in this case are 2 i.e. 5 and 6

Since, the number of possible outcomes is more than 1, the event is a compound event.

So answer is true

Heong cut a slice of birthday cake. The slice formed the angle shown. What is the measure of the angle shown?

Answers

Do you have a picture?

solve the system of equations 5x-2y=88 3x+4y=58 show all work

Answers

The given equations are:

5x - 2y = 88
3x + 4y =  58

Multiplying the 1st equation by 2, we get the new set of equations as:

10x - 4y = 176
3x + 4y = 58

Adding the two equations, we get:

10x - 4y + 3x + 4y = 176 + 58
13x =234
x =  18

Using the value of x in 1st equation, we get:

5(18) - 2y = 88
- 2y = 88 -5(18)
-2y = -2
y = 1

So, the solution of the equation is (18, 1)

[tex]\left\{\begin{array}{ccc}5x-2y=88&1^o\\3x+4y=58&2^o\end{array}\right\\\\1^o\ 5x-2y=88\ \ \ \ |\text{subtract 5x from both sides}\\-2y=-5x+88\ \ \ |\text{divide both sides by (-2)}\\y=2.5x-44\\\\\text{substitute the value of y to the equation}\ 2^o[/tex]

[tex]3x+4\cdot(2.5x-44)=58\\3x+10x-176=58\\13x-176=58\ \ \ |\text{add 176 to both sides}\\13x=234\ \ \ \ |\text{divide both sides by 13}\\x=18\\\\\text{substitute value of x to the equation}\ 1^o\\\\y=2.5\cdot18-44=45-44=1\\\\Answer:\ \boxed{\left\{\begin{array}{ccc}x=18\\y=1\end{array}\right}[/tex]

In a lottery​ game, a single ball is drawn at random from a container that contains 25 identical balls numbered from 1 through 25. find the probability that the number drawn is a multiple of 77 or a multiple of 4.

Answers

Total numbers = 1-25 = 25 numbers

Multiples of 77: 1, 7, 11
Multiples of 4: 1, 2, 4

Therefore, multiples of 77 or 4 are: 1, 2, 4, 7, 11 = 5 numbers

P (multiples of 7 or 4) = 5/25 = 1/5 = 0.2

hello can you please help me posted picture of question

Answers

The discriminant help us to identify the nature of the roots.

If Disc > 0, the function has two distinct roots
If Disc = 0, the function has repeated roots
If Disc < 0, the function has complex roots

The turning away of the function indicates a repeated root at that point.
Thus, the given quadratic equation has a repeated root at x = 2. So the discriminant of the function is zero.

Therefore, the correct answer is option B

(-8,7),(-9,-5) write in Ax+By=C

Answers

[tex]\bf \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ &&(~ -8 &,& 7~) &&(~ -9 &,& -5~) \end{array} \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-5-7}{-9-(-8)}\implies \cfrac{-5-7}{-9+8}\implies 12 \\\\\\ \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-7=12[x-(-8)]\implies y-7=12(x+8) \\\\\\ y-7=12x+96\implies -12x+y=103[/tex]

After the hairdresser Jenny had 27 centimeters cut off her hair how many decimeters of hair did jenny have cut off

Answers

Answer:

  2.7 dm

Step-by-step explanation:

You want to know the number of decimeters in 27 centimeters.

SI Prefixes

The SI prefix "deci-" means 1/10.

The SI prefix "centi-" means 1/100.

This tells you that 10 cm = 1 dm.

  27 cm = (27 cm) × (1 dm)/(10 cm) = 2.7 dm

Jenny had 2.7 dm of hair cut off.

Miss Nelson Has a rectangular flower box that is 5 ft long 2 ft tall she wants the width of the box to be no more than 5 ft if the width is a whole number what are the possible volumes for the flower box

Answers

When u multiply 5•2•5 it will be 50ft of the flower box

The soup can is 6 cm tall and has a radius of 3.5cm. If you were to pull the label off the can in one complete piece,what would the area of the label be ? Use 22/7 for p.
Please help !!!

A)22 sq.cm
B)42 sq.cm
C)132 sq.cm
D)152 sq.cm

Answers

Answer is C 132cm

3,14*7=21.98
21.98*6=131,88≈132

The soup can is 6 cm tall and has a radius of 3.5cm. If you were to pull the label off the can in one complete piece,what would the area of the label be ? Use 22/7 for p.  

Please help !!!

A)22 sq.cm

B)42 sq.cm

C)132 sq.cm

D)152 sq.cm


Solution:

Radius of cylindrical soup can= 3.5 cm

Height of cylindrical soup can= 6 cm

Area of cylinder =2πrh

So, Area of label of cylindrical soup can=2πrh

Plugging in the value of r and h in the formula

Area of label=2*π*3.5*6

Multiplying the constants, we get

Area=2*π*21

Area=42π

Plugging in the value of π

Area=42*[tex]\frac{22}{7}[/tex]

Multiplying the numerators

Area=[tex]\frac{924}{7}[/tex]

Area=132 sq.cm

Answer: Option (C)

Area of label= 132 sq. cm

Sarah is playing a game in which she rolls a number cube 20 times. The results are recorded in the chart below. What is the experimental probability of rolling a 1 or a 3?
Number on cube:1,2,3,4,5,6
Number of times event occurs:3,6,1,5,3,2
A.0.2
B.0.3
C.0.6
D.0.83

Answers

Sarah rolled a one 3 times and rolled a three 1 time in a total of 20 rolls. She rolled one or three 4 times out of 20. Therefore,

[tex] \frac{4}{20} = 0.2[/tex]

The answer is A.

Identify the figure shown and find its surface area. Explain how you found your answer.

Answers

This is a triangle prism, the base is a square and the four sides are equal triangles.

To find the surface area you need to first find the areas of the triangles, then the square, in the end you have to add them together.

Since we know the area of a triangle is 1/2bh we know that one if the triangle in the figure is
9*16/2=72(in^2)
there are four of these so we multiply it by 4
4*72=288(in^2 aka squared inches)

Then we need to find the area of the square. side * side=9*9=81 (in^2)

Add them together we get the surface area.
288+81=369 (in^2)

hello can you please help me posted picture of question

Answers

Answer:
[tex] \frac{25-y^2}{16} + \frac{y^2}{9} = 1[/tex]

Explanation:
For the first given equation, we will need to isolate the x². This can be done as follows:
x² + y² = 25
x² + y² - y² = 25 - y²
x² = 25 - y² ..................> I

For the second given equation:
We will remove every x² and substitute with its equivalence from I as follows:
[tex] \frac{x^2}{16} + \frac{y^2}{9} = 1[/tex]

[tex] \frac{25-y^2}{16} + \frac{y^2}{9} = 1[/tex]

Hope this helps :)

It is the c)25-y^2-y^2 by 16-9 = 1

Which of these shows 8 + 3m rewritten using the commutative property of addition? 8m + 3 8 − 3m 3m − 8 3m + 8

Answers

Ans:- 4th option (3m + 8)

Reason:

★Commutative Property★

The word "commutative" comes from "commute" or "move around", so the Commutative Property is the one that refers to moving stuff around.

For addition, the rule is:
"a + b = b + a"

Hope this helps!

Answer:(3m+8)

Step-by-step explanation:

The hyperbola (x-5)^2/7 - (y+3)^2/9 = 1 is shifted to the right by 4 units and upward by 3 units. the new center of the hyperbola is

Answers

The center of the given hyperbola is (5, -3). Since it is shifted by (4, 3), the new center will be
  (5, -3) +(4, 3) = (9, 0)

Answer:

( 9 ,0)

Step-by-step explanation:

Given  : [tex]\frac{(x -5)^{2}}{7} - \frac{(y+3)^{2}}{9} = 1.[/tex] is shifted to the right by 4 units and upward by 3 units

To find :  New center of the hyperbola .

Solution : We have given

[tex]\frac{(x -5)^{2}}{7} - \frac{(y+3)^{2}}{9} = 1.[/tex]

Center of hyperbola is  ( 5 , -3)

By the transformation rule f(x) →→ f(x -h) + k it mean f(x) is shifted to right by h unit and k unit up.

Then Center of hyperbola is shifted to the  right by 4 units and upward by 3 units.

( 5 , -3)  →→ (5 + 4 , -3 + 3

( 5 , -3)  →→ ( 9 ,0)

Therefore, new center is  ( 9 ,0).

One endpoint of a line segment is at (4, 2). The line is bisected by placing the midpoint of the line segment at (−2, −1). What are the coordinates of the other endpoint?

A) (−4, −6)
B)(−8, −4)
C)(10, 5)
D)(−8, 4)

Answers

[tex]\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~ 4 &,& 2~) % (c,d) &&(~ x &,& y~) \end{array}\qquad % coordinates of midpoint \left(\cfrac{ x_2 + x_1}{2}\quad ,\quad \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{x+4}{2}~~,~~\cfrac{y+2}{2} \right)=\stackrel{midpoint}{(-2~~,~~-1)}\implies \begin{cases} \cfrac{x+4}{2}=-2\\\\ x+4=-4\\ \boxed{x=-8}\\ ----------\\ \cfrac{y+2}{2}=-1\\\\ y+2=-2\\ \boxed{y=-4} \end{cases}[/tex]

Mr zucco baked a total of 270 cupcakes and muffins. After ue sold 1/3 of the cupcakes and baked 18 more miffins, he had twice as many cupcakes as muffins. How many cupcakes and muffins did mr. Zucco bake to begin with?

Answers

Let cupcakes = c and muffins = m.
c + m = 270
After 1/3 of cupcakes are sold (leaving 2c/3) and 18 more muffins are baked (m + 18), there are twice as many cupcakes as muffins:
2c/3 = 2(m + 18)
2c/3 = 2m + 36
c = 3m + 54
Substituting into the original equation:
3m + 54 + m = 270
4m = 216
m = 54 muffins
c = 3(54) + 54 = 216 cupcakes

The function F(x) = log0.5 x is increasing. The answer is B. False. Just finished taking the quiz I had guessed.
A. True
B. False

Answers

False on Apex, I need 20 characters to finish the answer. 


Answer:

The statement is false

B is correct

Step-by-step explanation:

Given: [tex]f(x)=\log_{0.5}x[/tex]

Increasing function.

Log function:

[tex]y=\log_ax[/tex]

If 0<a<1 then y is decreasing function.

If a>1 then y is increasing function.

Now, we compare the given function

[tex]\log_ax\rightarrow \log_{0.5}x[/tex]

a=0.5

0.5<1

If 0<a<1 then y is decreasing function.

Therefore, f(x) is decreasing. But we are given f(x) is increasing.

Hence, The statement is false

Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 6x3 − 9x2 − 108x + 6, [−3, 4]

Answers

It is convenient to use a graphing calculator for this. The graph shows the maximum and minimum are not at the ends of the interval, so could be found by differentiating the function and setting that derivative to zero. The function would then need to be evaluated for those solutions {-2, 3}.

The absolute minimum on the interval is -237 at x=3.
The absolute maximum on the interval is 138 at x=-2.

Answer:

The absolute maximum of f(x) on [-3, 4] is 138 and the absolute minimum of f(x) on [-3, 4] is -237.

Step-by-step explanation:

To find the absolute extrema values of [tex]f(x) = 6x^3 - 9x^2 - 108x + 6[/tex]  on the closed interval [−3, 4] you must:

1. Locate all critical values. We need to find the derivative of the function and set it equal to zero.

[tex]\frac{d}{dx}f(x)= \frac{d}{dx}\left(6x^3-9x^2-108x+6\right)=\\\\f'(x)=\frac{d}{dx}\left(6x^3\right)-\frac{d}{dx}\left(9x^2\right)-\frac{d}{dx}\left(108x\right)+\frac{d}{dx}\left(6\right)\\\\f'(x)=18x^2-18x-108[/tex]

[tex]18x^2-18x-108=0\\18\left(x^2-x-6\right)=0\\18\left(x+2\right)\left(x-3\right)=0\\\\\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}\\x=-2,\:x=3[/tex]

2. Evaluate f(x) at all the critical values and also at the two values -3 and 4

[tex]\left\begin{array}{cc}x&f(x)\\-3&87\\-2&138\\3&-237\\4&-186\end{array}\right[/tex]

3. The absolute maximum of f(x) on [-3, 4] will be the largest number found in Step 2, while the absolute minimum of f(x) on [-3, 4] will be the smallest number found in Step 2.

Therefore,

The absolute maximum of f(x) on [-3, 4] is 138 and the absolute minimum of f(x) on [-3, 4] is -237.

The ratio of sugar to flour is 2:3. If there are 6 cups of sugar, how many cups of flour are there

Answers

The answer would be 9 cups of flour
(5/1)=(2/x)
cross multiply
5x=2x1
simplify
5x=2
divide each side by 5 to find x
x=2/5
2/5 or 0.4 cups of flour are needed
answer= 2/5

11 black balls and 14 white balls are placed in an urn. two balls are then drawn in succession. what is the probability that the second ball drawn is a white ball if the second ball is drawn without replacing the first ball?

Answers

[tex] |\Omega|=25\cdot24=600\\
|A|=11\cdot14+14\cdot13=154+182=336\\\\
P(A)=\dfrac{336}{600}=\dfrac{14}{25}=56\% [/tex]

17.5% as a fraction in simplest form?

Answers

[tex]17.5\%[/tex] is the same thing as [tex]0.175[/tex]. We can rewrite this as [tex]\frac{175}{1000}[/tex]. Or course this is not simplified, so we can simplify to get [tex]\boxed{\frac{7}{40}} [/tex].

There are 2,000 eligible voters in a precinct. 548 of the voters are randomly selected and asked whether they planned to vote for the democratic incumbent or the republican challenger. of the 548 surveyed, 474 said they would vote for the democratic incumbent. using the 0.99 confidence coefficient, what are the confidence limits for the proportion that plan to vote for the democratic incumbent?

Answers

Sample size, n = 548
Point estimate, p = 474/548 = 0.865 or 86.5%
Z at 0.99 confidence coefficient = 2.58

Confidence limits = p +/- Z*Sqrt [p(1-p)/n] = 0.865 +/- 2.58 Sqrt [0.865(1-0865)/548] = 0.865 +/- 0.0378 = (0.8272,0.9028) or (82.72%,90.28)

A homeowner plants two flowerbeds around his garage. What is the total area he will have planted. Round to nearest tenth.

Answers

We need data to answer

how do the graphs of f(x)=x^3 and g(x)=(1/3x)^3 relate?

Answers

Both graphs have the same exponential degree of 3. The only difference between the two is that g(x) is expanded to a scale factor of 3, due to the coefficient being 1/3. 
Graph of g(x) is the transformation of the graph of f(x) The graph of f(x) is: while of g(x) is graphed We can see the g(x) is f(x) after a reflection on the y-axis and a horizontal compression by a factor of 1/3

Which of the following holds about 800 milliliters o f water?

Answers

probably the dog bowl. 800ml is about 3.4 US cups

Lucia is not yet 80 years old. each of her sons has as many sons as brothers. the combined number of lucias sons and grandsons equals her age, and her oldest grandson is 29. how old is lucia? place your numerical answer in the corresponding answer blank.

Answers

Not enough Information. I could say 50 and it would work. I could say 68 and it would work. Any even number thats under 80 but higher than what you think her eldest son is.

5.
Find the present value of the annuity.

Amount Per Payment: $6,225

Payment at End of Each: Quarter

Number of Years: 6

Interest Rate: 8%

Compounded: Quarterly

Answers

To solve this we are going to use the present value of annuity formula: [tex]PV=P[ \frac{1-(1+ \frac{r}{n})^{(-kt)} }{ \frac{r}{n} }] [/tex]
where
[tex]PV[/tex] is the present value 
[tex]P[/tex] is the periodic payment
[tex]r[/tex] is the interest rate in decimal form 
[tex]n[/tex] is the number of times the interest is compounded per year 
[tex]k[/tex] is the number of payments per year 
[tex]t[/tex] is the number of years

We know for our problem that [tex]P=6225[/tex] and [tex]t=6[/tex]. To convert the interest rate to decimal form, we are going to divide it by 100%:
[tex]r= \frac{8}{100} [/tex]
[tex]r=0.08[/tex]
Since the interest is compounded quarterly, it is compounded 4 times per year, so [tex]n=4[/tex]. Similarly, since the payment is made at the end of each quarter, it is made 4 times per year; therefore, [tex]k=4[/tex]. 
Lets replace the values in our formula:
[tex]PV=P[ \frac{1-(1+ \frac{r}{n})^{(-kt)} }{ \frac{r}{n} }] [/tex]
[tex]PV=6225[ \frac{1-(1+ \frac{0.08}{4})^{(-(4)(6)} }{ \frac{0.08}{4} }] [/tex]
[tex]PV=117739.19[/tex]

We can conclude that the present value of the annuity is $117,739.19


Other Questions
what is a map? Pls let me know Which sentences in the given passage explains the limitations of monetary policies? Monetary Policies Limitations Monetary policies are set by the Central Bank to bring about growth in the economy. {This objective can be achieved if these policies work at tandem with fiscal policies.} {It would be fair to say that changes in the economy cannot be brought about instantly by monetary policies.} {Monetary policy can only influence, not control, economic growth.} {The monetary policy makers do work on striking the perfect balance between demand and supply of money in the economy.} HEEEELLLPP!!!!!!!!!!!!!!!WILL GIVE THE BRAIN!!!!!POINTS!!!!!!!plz How many double bonds are in an alkane? What are examples of ways the columbian exchange changed societies in ways that are still seen today? Which authors purpose is suggested by the text? What is one of the most important ways in which the organisms interact? Enter the value of 5 times (13.5-4.5) The sign in the photograph below says, "Germans! Defend yourself! Buy nothing from Jews! What does this sign suggest about the Nazi governments policies toward Jews? The Nazis were trying to protect Jewish citizens from discrimination. The Nazis were trying to stop the boycott of Jewish businesses. The Nazis were officially promoting and directing anti-Semitism. The Nazis were trying to restrict anti-Semitic behavior among citizens. The digits 1,2,3,4,5,6,7 and 8 are arranged randomly to form a three-digit number find the probability that the number is even and greater than 800 Need help on this as soon as possible What is the correct formula for finding the frequency of an electromagnetic waveA. F=c-AB. F=A/cC. F=A+cD. F=c/A If Henry's home has a market value of $145000 and the assessment rate is 35% what is its assessed valuation A weak acid is a dilute acid that is not very powerful a. True b. False What is the explicit formula for the sequence? 6, 5, 4, 3, 2, . . Anyone know this geometry question? What was revolutionary about the way Bartok studied the folk music of Hungery The menu in a franchise restaurant differs from that of an independently owned restaurant in which of the following ways if 3 m equals 12 what is the value of 6(m-1) Which of these BEST describes the impact of the 1948 desegregation of the armed forces, in advancing the cause of civil rights?