Answer: DE = CE
Step-by-step explanation: AB is a continuous line so the distance from A to E could be different than the distance from D to E.
DE = CE is true.
A perpendicular bisector is a line that divides another line into two equal parts and is also perpendicular to it.
Here, we are given that AB is the perpendicular bisector of DC and DC is a perpendicular bisector of AB.
This means that AB and DC are the perpendicular bisectors of each other at the point of intersection, that is, E.
Now, since AB bisects DC at point E
⇒ DE = CE
and similarly, DC bisects AB
⇒ AE = BE
Apart from these two equalities, we cannot infer anything else from the given information.
Thus, out of the given options, we can see that only option 3, that is, DE = CE is true.
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What is 1/3 of 1/4 what is 1/3 1/4
Answer:
%8.3 or 8.3/100
Step-by-step explanation:
o the answer is 7/12 because 1/3 plus 1/4 is 4/12 + 3/12 is 7/12
5- (x - 2)² for x = −1
Answer:
Its answer is -4..............
Answer:
Your answer is -4
Step-by-step explanation:
[tex]5 - (x - 2) { \\ }^{2} [/tex]
where x = -1
Therefore, p(-1) = 5 - ( (-1) - 2 )²
= 5 - (-3)²
= 5 - 9
= -4
Write 0.641 as a fraction in simplest form
Write the number as a fraction of 1 (one):
0.641 = 0.641/1Simultaneously multiply the numerator and denominator by 10 as many times as the digits after the comma (separation between the integer part and the fractional part of the number):
Since we have 3 numbers after the comma, multiply the numerator and denominator by 1000. So,
0.641/1 = (0.641 x 1,000)/(1 x 1,000) = 641/1,000.Note that multiplying by 10 is the same as moving the decimal point one place to the right.
Once this fraction is irreducible, that is, it is in reduced form, we can no longer simplify it. The answer is the previous fraction.
Skandar
A bakery is making whole-wheat bread and apple bran muffins. For each batch of break they make $35 profit. For each batch of muffins, they make $10 profit. The break takes 4 hours to prepare and 1 hour to back. The muffins take 0.5 hours to prepare and 0.5 hours to bake. The maximum preparation time available is 16 hours. The maximum bake time available is 10 hours. Let x = # of the batches of bread and y = # of batches of muffins. Outline the feasible region that can be used to find the number of batches of bread and muffins that should be made to maximize profits? Use the color RED to indicate the feasible region!
Step-by-step explanation:
let the number of wholewheat bread batches be x
let the number of muffin batches be y
prep condition: 4x + (1/2)y ≤ 16 or 8x + y ≤ 32
baking condition : 1x + (1/2)y ≤ 10 or 2x + y ≤ 20
graph each of those in the first quadrant shading in the region below each one.
Final shading is the region satisfying both conditions.
profit = 35x + 10y
allow this line to "slide" away from the origin as far as you can.
It should be clear that the farthest we can go is the intersection of
8x+y = 32 and
2x + y = 20 or the x and y intercepts of our two boundary lines.
subtract them as they are:
6x = 12
x = 2
then in our head , y = 16
max profit = 2(35) + 10(16) = 230
Just to make sure, I will test the intercepts of our intersecting region, namely (4,0) and (0,20)
for (4,0) profit = 4(35)+1 = 140
for (0,32) profit = 0 + 10(20) = 200
so max profit is 230 when x=2 and y=16
(notice all the prep time and baking time is utelized)
Help!!
Find the after-tax return to a corporation that buys a share of preferred stock at $49, sells it at year-end at $49, and receives a $4 year-end dividend. The firm is in the 21% tax bracket.
This is what I got so far:
Before-tax:
(49-49)+4 = 4,
4/49 = 0.0816,
After-tax:
0.0816 (1-021) = 0.06448 or 6.45%
After the tax return percent is 7.43%.
What is a tax return?
A tax return is a form or form filed with a duty authority that reports income, charges, and other material duty information. Tax returns allow taxpayers to calculate their duty liability, schedule duty payments, or request refunds for the remittance of levies. A tax return is the completion of attestation that calculates a reality’s or existent's income earned and the quantum of levies to be paid to the government or government associations or, potentially, back to the taxpayer. Taxation is one of the biggest sources of income for the government.The tax-return of the corporation will be calculated by providing a 70% of deduction to the preference dividend.
The total amount of preference dividend which will be taxable= (dividend amount*(1-.7)
= (4*.3)= 1.20.
The total amount of tax= (total preference dividend taxable*x tax rate)
= (1.2*.3)=.36
The total after tax amount of Return= (preference dividend-tax)= (4-.36)= 3.64.
There will be no capital gain because there is no change in the price of preference shares.
After tax return=(after tax dividend/purchase price)
= (3.64/49)
= 7.43%.
After the tax return percent is 7.43%.
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Japhet is making small rectangular tiles for a mosaic. Each tile has an area of 7 cm² and is
cm wide.
4
How long is each tile?
Step-by-step explanation:
1 = 7cm2
4 = 4 × 7
= 28cm2
Since 1 is 7 then 4 will multiple of 7
Answer:
5 3/5
Step-by-step explanation:
Order the cube root of 37, 16 over 5, negative four and two thirds, and negative pi from greatest to least.
the cube root of 37, 16 over 5, negative pi, and negative four and two thirds
16 over 5, the cube root of 37, negative four and two thirds, and negative pi
16 over 5, the cube root of 37, negative pi, and negative four and two thirds
the cube root of 37, 16 over 5, negative four and two thirds, and negative pi
The order of the numbers from greatest to smallest is the cube root of 37, 16 over 5, negative pi, and negative four and two thirds
What is the order of the numbers?The numbers we are to order from the greatest to the least are ∛37, 16/5, -4 2/3, -22/7. To ease the problem, all the numbers should be converted to decimal form.
A decimal is a number that consists of integers and non-integers. The integers are separated from the non-integers by a decimal point. An example of a decimal number is 1.23.
When converted to decimals, the number become:
∛37 = 3.33
16/5 = 3.2
-4 2/3 = -14/3 = -4.67
-22/7 = -3.14
The further away a positive number is from zero, the greater the number. The closer a negative number is to zero, the greater the number.
3.33, 3.2, -3.14, -4.67
∛37, 16/5, - 22/7, -4 2/3
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Answer:
The person above was correct! gl on ur exam :))
A student on the track team runs 45 minutes each day as a part of her training. She begins her workout by running at a constant rate of 8 miles per hour for 푎 minutes, then slows to a constant rate of 7.5 miles per hour for 푏 minutes. Which equation describes the relationship between the distance she runs in miles, 퐷, and her running speed, in miles per hour?
D = RT would be the fundamental equation to answer this, which is
Distance in D
Rate is R (speed)
It is now.
We can determine the individual distances for the two legs of the whole to determine the overall distance D.
Initial Leg:
R = 8
T = a
D = 8a
8(45 – b) + 7.5b =D
What is the formula for rate and distance?
Use the formula d = st to determine speed, distance, or time. Distance is equal to speed multiplied by time. Given two known numbers, the Speed Distance Time Calculator can solve for the unknown sdt value.
Units of seconds (s), minutes (min), hours (hr), or hours, minutes, and seconds can be used to input or solve for time (hh:mm:ss). Time format shortcuts are shown below.
Use the formula d = st, or distance equals speed times time, to find the distance.
Distance Equals speed x time
Since both reflect a certain amount of distance per unit of time, such as miles per hour or kilometers per hour, rate and speed are comparable. If speed s and rate r are equal, then r = s = d/t. The corresponding formula is d = rt, which denotes Rate times time are equivalent to distance.
Distance = Rate x Time
Use the speed formula, s = d/t, which states that speed is equal to distance divided by time, to solve for speed or rate.
speed equals distance/time.
Use the time formula, t = d/s, which states that time is equal to distance divided by speed, to solve for time.
Time = Speed/Distance
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Knowledge Check
Question 10
The circle graph shows how the annual budget for a company is divided by department. If the amount budgeted for Media and Engineering combined is
$30,000,000, what is the total annual budget?
Answer: 150,000,000
Step-by-step explanation:
Total percentage of editorial + engineering = 20%
Total budget of editorial + engineering = 30,000,000
So, Total budget*20/100 = 30,000,000
Total budget = 5*30,000,000
Total budget = 150,000,000
Simplify.
√45z +√/20z
Assume that the variable represents a positive real number.
Answer:
=5√5z
Step-by-step explanation:
√45z +√/20z
√3*3*5z + √2*2*5z
= 3√5z+2√5z
=3+2√5z
=5√5z
question 9: please help me asap !!!!
Answer:
8a-2ab
Step-by-step explanation:
5a-2b+2b+3a-2ab
Simplify 'a'
5a+3a=8a
Simplify 'b'
2b+2b=4b
8a-2ab
question is in picture pls help
Answer:
Step-by-step explanation:
e
Jim began a 145mile bicycle trip to build up stamina for a triathlon competition. Unfortunately, his bicycle chain broke, so he finished the trip walking. The whole trip took 7 hours. If Jim walks at a rate of 4 miles per hour and rides at 30 miles per hour, find the amount of time he spent on the bicycle.
The amount of time he spent on bicycle is 4.5 hours.
Given Jim began a 145 mile bicycle trip.
The whole trip took 7 hours.
Jim walks at a rate of 4 miles per hour and rides at 30 miles per hour.
speed = distance / time
time = distance / speed
ride:
d = distance ridden
t = d/30 (given from the problem)
walk:
t = (145 - d)/4 (given from problem)
total trip time:
7 = d/30 + (145 - d)/4.
7 = 4d/120 + 30(145 - d)/120
7×120 = 4d + 30(145 - d)
840= 4d +4350-30d
840 ₋ 4350 = ₋30d ₊ 4d
₋3510 = ₋26d
d = 3510/26
d = 135
d=135 then from here using the formula t = d / s we can solve
t=135/30 = 4.5 hours
hence the amount of time Jim spent on the bicycle is 4.5 hours.
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Tomeka is in a jump-roping contest. She hopes to be the last person jumping rope at the end of the contest. In her practice yesterday, she jumped 294 consecutive jumps. She jumped one-fourth of them in the first 5 minutes of practice. How many times did she jump after the first five minutes?
what is the plan of action to this problem?
Answer:
Answer
Step-by-step explanation:
Answer times the power of infinity
The depth of a local river averages 20 ft, which is represented as |−20|. In January, it measured 6 ft deep, or |−6|, and in July, it was 22 ft, or |−22|. What is the difference between depths in January and July?
The computation shows that the difference in depth is 16 feet
How to calculate the value?From the information, in January, it measured 6 ft deep, or |−6|, and in July, it was -22.
Therefore the difference between the depth will be:
= -6 - (-22)
= -6 + 22
= 16
Therefore, the difference in depth is 16 feet
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Question 1/21
Lilian has 12 apples and Maria has 6
apples. Lilian gives half of her apples to
Sebastian. Sebastian gives 2 apples to
Jose. Maria gives 2 apples to Jose.
Sebastian gives half of his remaining
apples to Maria. Maria gives 1 apple to
Lilian.
How many apples does Maria have?
The number of apples Maria has after giving 1 apple to Lillian at the end is is 5 apples.
Given data:
The expressions representing the change in values of the apples are:
Lilian starts with 12 apples, and she gives half (6 apples) to Sebastian. She now has 12 - 6 = 6 apples.
Sebastian starts with 6 apples and gives 2 apples to Jose. He now has 6 - 2 = 4 apples.
On simplifying the expressions:
Maria starts with 6 apples and gives 2 apples to Jose. She now has 6 - 2 = 4 apples.
Sebastian gives half of his remaining apples (4 / 2 = 2 apples) to Maria. Maria now has 4 + 2 = 6 apples.
Maria gives 1 apple to Lilian. She now has 6 - 1 = 5 apples.
Hence, at the end of the given actions, Maria has 5 apples.
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. Will and Evie are walking to school. Their school is 0.8 miles from their home. So far, they have walked halfway (0.5). How far have they walked?
WELL GIVE YOU BRAINLIEST ASAP GRAPH
Question
Which relation is a function?
ITS ONLY 1 ANSWER CHOICE
Answer:
the last one (bottom right) x cannot be the same on any point so the last one is the only correct answer
Answer:
4th option
Step-by-step explanation:
The option which doesn't have more than one point on an x-value.
r = 10 units and h = 7 units, then what is the volume of the cylinder shown above?
Answer:
radious:10
height:7
volume:?
we know that
volume of cylinder:2pie×r²×h
=22/7×10²×7
=2200unit³
x/2+3=x+6 solve for x, thank you please!
Answer:
x= -6
Step-by-step explanation:
x/2+3=x+6
We have to isolate the variable.
x/2+3=x+6
-x -x
-x/2+3=6
-3 -3
-x/2=3
-0.5x=3 To get to the answer we need to get to x. To get to x from -0.5x we multiply each side by -2
x=-6
reflection across the y-axis
Please I need help ASP
Answer:
See the picture below.
Step-by-step explanation:
38t-16t2
What is the height of the soccer ball 1.25 seconds after Callie kicks it?
Answer:
7.5
Step-by-step explanation:
38 times 1.25
minus 16 times 1.25
times 2
Point P is located 2/5 of the distance from A to E. Point P is located at (-1, -1) and point A
is located at (-7, 5). What are the coordinates of point E?
The coordinates of point E is (-37/7, 23/7)
Calculating the midpoint of a line using a ratioThe formula for calculating a coordinate points using the points (-1, -1) and point A is located at (-7, 5) in the ratio 2:5 is expressed as:
E (x, y) = {(ax₁+bx₂)/a+b, (ay₁+by₂)/a+b}
Substitute the coordinates and ratios to have;
E (x, y) = {(2(-1)+5(-7))/2+5, (2(-1)+5(5))/2+5}
E(x, y) = {-35-2/7, -2+25/7}
E(x, y) = (-37/7, 23/7)
Hence the coordinates of point E is (-37/7, 23/7)
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What is the solution to the equation?
6=√4x 8
05
022
O 11
07
O 6
Answer:
ans is 11
√4(11)-8=36
√36
=6
9 less than nine times a number.
Answer:
9-9x
Step-by-step explanation:
Converted from word to standard form.
The value of the equation 9 less than nine times a number is A = 9n - 9 , where n is the number
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
A = 9 less than nine times a number
Let the number be represented as n
On simplifying the equation , we get
A = 9n - 9
Therefore , the value of A is 9n - 9
Hence , the equation is A = 9n - 9 , where n is the number
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The expression 13 . 25 × 5 + 6 . 5 gives the total cost in dollars of renting a bicycle and helmet for 5 days. The fee for the helmet does not depend upon the number of days. a. What does 13.25 represent?
13.25 represents the fee for renting a bicycle for 1 day;
13.25 × 5 + 6.5 = Total Cost
Since, helmet's fee does not depend upon days;
13.25 represents the fee for renting a bicycle for 1 day;
For 5 days; 13.25 × 5 represents the fee for renting a bicycle for 5 days;
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I have attached the problem in a picture below!
Answer:
A. The solution set is x = 5 or -7
Step-by-step explanation:
[tex] \sqrt[4]{ {x}^{2} + 2x } = \sqrt[4]{35} \\ {({x}^{2} + 2x) }^{ \frac{1}{4} } = {(35)}^{ \frac{1}{4} } \\ {x}^{ \frac{1}{2} } + {2x}^{ \frac{1}{4} } = {35}^{ \frac{1}{4} } \\ {x}^{2} + 2x = 35 \\ {x}^{2} + 2x - 35 = 0 \\ (x - 5)(x + 7) = 0 \\ x = 5 \: or \: - 7[/tex]
Therefore, the answer is A. as the solution is x = 5 or -7
Write 670,000,000 in scientific notation.
6.7 × 109
0.67 × 109
67 × 108
6.7 × 108
6.7×10 8 is your correct answer
Answer:
the scientific notation is: [tex]6.7 ~x~10^{8}[/tex]
Step-by-step explanation:
The proper format for scientific notation is;
[tex]a~x~10^{b}[/tex]where a is a number or decimal number such that the absolute value of a is greater than or equal to one.
Given:
[tex]670,000,000[/tex]Thus, the scientific notation is:
[tex]6.7 ~x~10^{8}[/tex]Hope this helps!Answered by:AshTheNekoFind the domain and range for the absolute value function f(x)
graphed below. Then determine where the function is increasing and/or decreasing
Step-by-step explanation:
the domain is the interval or set of all valid x values.
as we can see, the function goes continuously from all the way to the left (until all eternity to -infinity) all the way to the right (until all eternity to +infinity).
the domain is
-infinity < x < +infinity
the range is the interval or set of all valid y (function result) values.
we see, the lowest y value is -1. and then the function goes on both sides up, up, up in all eternity to +infinity.
the range is
-1 <= y < +infinity
f(x) is decreasing for
-infinity < x < -1
f(x) is increasing for
-1 < x < +infinity
if √64 = a , then a is equal to ____.
32
16
8
irrational
Answer:
8
Step-by-step explanation:
The
[tex] \sqrt{64} [/tex]
is 8. Because when you divide 64 by 8 you get 8 which makes it a perfect square.