Answer:
53 1/3
Step-by-step explanation:
200×4/5=160
160×2/3=106 2/3
106 2/3×1/2=53 1/3
Step-by-step explanation:
200×1/2=100
100×2/3=66.6666666667
so, the question is wrong
Simplify: -8x +7-5-5x + 5x
A
- 8x + 2
B
-18x+12
-x-5
D
-X+12
Answer:
A) -8x+2
Step-by-step explanation:
-8x + 7 - 5 - 5x + 5x
-8x -5x + 5x + 7 - 5
- 8x+2
If (3y-9)^2+7=43, then what is(are the values of y?
Answer:
y = 1 and y = 5
Step-by-step explanation:
[tex]( 3 y -9)^2 + 7 = 43\\\\((3y)^2 + (-9)^2 + 2(3y)(-9)) = 43 - 7\\\\(9y^2 + 81 -54y) = 36\\\\9y^2 -54y + 81 -36 = 0\\\\9y^2 -54y + 45 = 0\\\\9(y^2 -6y + 5) = 0\\\\y^2 - 6y + 5 = 0\\\\y^2 - 5y - y + 5 = 0\\\\y(y - 5) -1(y - 5 ) = 0 \\\\( y - 1 )( y - 5) = 0\\\\y = 1 \ , \ y = 5[/tex]
The values of y in the equation (3y-9)^2+7 = 43 are 1 and 5
How to solve for y?The equation is given as:
(3y-9)^2+7 = 43
Subtract 7 from both sides of the equation
(3y - 9)^2 = 36
Take the square root of both sides
3y - 9 = ±6
Add 9 to both sides
3y = 9 ± 6
Divide through by 3
y = 3 ± 2
Expand
y = (3 - 2 or 3 + 2)
Evaluate
y = 1 or 5
Hence, the values of y are 1 and 5
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use the diagram below to find all missing angles
Answer:
Step-by-step explanation:
Soooo, angle 1 is 157 degrees
That means:
Angle 2 is 23 degrees Supplementary Angles
Angle 3 is 157 degrees Vertical Angle to Angle 1
Angle 4 is 23 degrees Vertical angle to Angle 2
Answers:
angle 2 = 23 degreesangle 3 = 157 degreesangle 4 = 23 degrees=======================================================
Explanation:
Angles 1 and 2 are supplementary as they form a straight line. So the angles add to 180
(angle1)+(angle2) = 180
angle2 = 180-(angle1)
angle2 = 180-157
angle2 = 23 degrees
Angle 4 is congruent to this because angles 2 and 4 are vertical angles. Vertical angles are always congruent. Note how angles 1 and 4 are supplementary.
Since angles 1 and 3 are the other pair of vertical angles, this must mean angle 3 is 157 degrees.
Segment EG is an angle bisector of angle FGH. Noah wrote a proof to show that triangle HEG is congruent to triangle FEG. Noah's proof is not correct. Which line of Noah's proof is incorrect, and why1. Side EG is congruent to side EG because they're the same segment.
2. Angle EGH is congruent to angle EGF because segment EG is an angle bisector of angle FGH.
3. Angle HEG is congruent to angle FEG because segment EG is an angle bisector of angle FGH.
4. By the Angle-Side-Angle Triangle Congruence Theorem, triangle HEG is congruent to triangle FEG.
Line 2 is incorrect; there is not enough information given to state this.
Line 2 is incorrect; there is not enough information given to state this.
Line 2 is incorrect; even though segment EG is a bisector, angles EGH and FGH are not necessarily congruent.
Line 2 is incorrect; even though segment , EG, is a bisector, angles , EGH, and , FGH , are not necessarily congruent.
Line 3 is incorrect; we don't know anything about the lengths of HG, FG, HE, and EF, so this line is not valid based on the given information.
Line 3 is incorrect; we don't know anything about the lengths of , HG, , , FG, , , HE, , and , EF, , so this line is not valid based on the given information.
Line 4 is incorrect; Angle-Side-Angle is not a valid congruence theorem.
Line 4 is incorrect; Angle-Side-Angle is not a valid congruence theorem.
Answer:
Line 3 is incorrect; we don't know anything about the lengths of HG, FG, HE, and EF, so this line is not valid based on the given information.
Step-by-step explanation:
In the Noah's poof of the construction, segment EG would divide angle FGH into two equal parts, which makes line 2 to be valid. i.e <EGH ≅ <EGF. And it can also be observed that line 4 is a valid theorem in proving the congruent nature of triangles.
But line 3 is not valid because of the condition of the statement. Furthermore, segments FG, EG, HG, HE and FE may not be congruent. Thus, the condition of the statement in line 3 is incorrect.
Melinda is selling her paintings. The graph depicits the profit she makes given the selling price of the paintings. What is the approximate average rate of change in profit per dollar selling price, when the selling price yields $0 profit to a selling price that yield the maximum profit
Answer:
The average rate of change is 28.57
Step-by-step explanation:
Given
See attachment for graph
Required
The average rate of change from 0 to maximum profit
At 0, we have:
[tex](x_1,y_1) = (32,0)[/tex]
At maximum, we have:
[tex](x_2,y_2) = (60,800)\\\\[/tex]
The average rate of change (m) is calculatd as:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
So, we have:
[tex]m = \frac{800 - 0}{60 - 32}[/tex]
[tex]m = \frac{800}{28}[/tex]
[tex]m = 28.57[/tex] --- approximated
jabu invests R5600 for one year at 8% interest. calculate the value of hus investment by the end of the year
Answer:
Hope you find it helpful
1. For each of 200 randomly selected cities, Gary recorded the number of churches
in the city (x) and the number of homicides in the past decade (y). He calculated
the linear correlation coefficient and was surprised to find a strong positive linear
correlation for the two variables. Does this suggest that building new churches
causes an increase in the number of homicides? Why do you think that a strong
positive linear correlation coefficient was obtained? Explain your answer with
reference to the term lurking variable.
Answer:
Kindly check explanation
Step-by-step explanation:
When certain variables are examined, there seems to be a sort of spurious relatuoshipnornassocuation between the two variables, this is evident in the relationship between churches and the number of homicide, when a strong positive correlation is observed between number of churches and number of homicides, this relationship is most likely to be due to the effect of a lurking or third variable which creeped into our analysis, a factor which has a posithe correlation on both number of churches and homicide level, Number of homicide and number of churches could have been correlated by the lncreasing population which may lead to overcrowding and competition Hence increasing rate of homicide, similarly, with high rise in population, the growth of church to accommodate the populees will also creep in.
A salesperson at DHL Department Store earns $415 per hour and is paid biweekly. FOr the last pay cycle, a sales rep earned 5% commission on sales amounting to $89,500. Calculate their basic wage if they worked for 40 hours each week. please help me, Thanks
Answer:
=$21075
Step-by-step explanation:
Given data
Earnings =$415 per hour
Commission =5%
Sales =$89500
Time =40 hours
Let us find the commission
5/100*89500
0.05*89500
=4475
Let us find the amount earned in 40 hours
40*415
=16600
Total
=16600+4475
=21075
PLEASE HELP ME WITH THESE TWO PROBLEMS ASAP !!!!!!! PLS
Answer:
1. 35 degrees
2. 44 degrees
Step-by-step explanation:
1). 35 degree
180-59=121
121+24+ m<1= 180
m<1= 35 degree
2) m<CED= 45 degree
As CED is a right angled triangle, one angle is of 90 degree while other 2 angles are of 45 degree which makes a sum of 180.
y'+y=y^2; y(0)=-1/3
Giải phương trình trên
Step-by-step explanation:
[tex]y' + y = y^2[/tex]
We can rewrite the differential equation above as
[tex]\dfrac{dy}{dx} + y = y^2[/tex]
[tex]dy = (y^2 - y)dx[/tex]
or
[tex]\dfrac{dy}{y^2 -y} = dx[/tex]
We can rewrite the left side of the equation above as
[tex]\dfrac{dy}{y^2-y}=\dfrac{dy}{y(y-1)}= \left(\dfrac{1}{y-1} - \dfrac{1}{y} \right)dy[/tex]
We can the easily integrate this as
[tex]\displaystyle \int \left(\dfrac{1}{y-1} - \dfrac{1}{y} \right)dy = \int dx[/tex]
or
[tex]\displaystyle \int \dfrac{dy}{y-1} - \int \dfrac{dy}{y} = \int dx[/tex]
This will then give us
[tex]\ln |y-1| - \ln |y| + \ln |k| = x[/tex]
where k is the constant of integration. Combining the terms on the left hand side, we get
[tex]\ln \left|\dfrac{k(y-1)}{y} \right| = x[/tex]
or
[tex]\dfrac{y-1}{y} = \frac{1}{k}e^x[/tex]
Solving for y, we get
[tex]y= \dfrac{1}{1- \frac{1}{k} e^x}=\dfrac{k}{k-e^x}[/tex]
We know that [tex]y(0)= \frac{1}{3}[/tex], so when we substitute [tex]x=0[/tex], we find that [tex]k = -\frac{1}{2}[/tex].
Therefore, the final form of the solution to the differential equation above is
[tex]y = \dfrac{1}{1+2e^x}[/tex]
Which of the following is a point-slope equation of a line that passes through
the points (10,5) and (4, -7)?
A. y-5= 2(x-10)
B. Y-5 = -2(x-10)
C. y-10 = 2(x-5)
D. y-10 = -2(x-5)
Answer:
A
Step-by-step explanation:
m = Y2 - Y1/ X2 - X1
m= -7 - 5/ 4 - 10
m = -12/ -6
m = 2
y - y1 = m ( x - x1)
y - 5 = 2 (x - 10)
To prove ABC= ADC, To prove which triangle postulate could you use?
SSS
SAS
ASA
AAS
Answer:
ASA
Step-by-step explanation:
..................
To prove ABC = ADC, We use ASA triangle postulate.
What is congruency?We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.
The similarity of triangles on the other hand is when the corresponding angles are equal but the corresponding sides are not equal but they have the same common ratio.
From the given diagram a quadrilateral ABCD is given,
Line segment AC divides quadrilateral ABCD into two triangles namely
ABC and ADC, and both have a common side AC.
m∠BAC ≅ m∠DAC and m∠BCA ≅ m∠DAC.
Therefore, Triangle ABC and ADC are congruent by ASA, with two angles and a side included between them.
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someone help me on this ixl
Answer:
Total cost = $6.61
Step-by-step explanation:
Given the following data;
Cost of breaded chicken = $5.68/lb
Quantity of breaded chicken = ¼
Baked chicken = $6.92/lb
Quantity of baked chicken = ¾
To find the total cost;
First of all, we would determine the cost of breaded chicken and baked chicken.
Cost of breaded chicken = ¼ * 5.68
Cost of breaded chicken = $1.42
Cost of baked chicken = ¾ * 6.92
Cost of baked chicken = 20.76/4
Cost of baked chicken = $5.19
Total cost = Cost of breaded chicken + Cost of baked chicken
Total cost = 1.42 + 5.19
Total cost = $6.61
If I equals √-1 what is the value of I³
Answer:
-I
Step-by-step explanation:
Given :
I= [tex]\sqrt{-1}[/tex]
Now
[tex]I^{2} =-1[/tex]
And [tex]I^{3} =-i[/tex]
Answer will be -I
How many inches is the circumference of this circle?
Type in your answer WITH NO LABEL, JUST THE NUMBER.
Answer:
Diameter(line going across the circle that you've given) = 6 in
Radius(half of diameter) = 3 in
Circumference(the perimeter of the circle) = 18.85 in
Area = 28.27^2
Step-by-step explanation:
In order to find the circumference, you will need to first find the radius(which is always half the size of the diameter which in this case is 3 in). You will then need to do this formula: 2 x 3.14 x 3 which equals to 18.85.
Answer:
The circumference of a circle is about 18.85 inches.
Step-by-step explanation:
The radius is always half of the diameter, and the diameter is 6 inches.
6 divided by 2 is 3, so the radius of this circle is 3 inches.
The formula for circumference of a circle is :
C = 2πr = 2 · π · 3 ≈ 18.84956
The circumference of a circle is about 18.85 inches.
Suppose the mean percentage in Algebra 2B is 70% and the standard deviation is 8% What percentage of students pass the class with an 86% or better? Enter the value of the percentage without the percent sign.
Answer:
Z-value is what we called the number of standard deviations from the mean. 62% is 8% one standard deviation to the left, or a Z-value of -1. 94 is 24% to the right of the mean, or 3 standard deviations for a z-value of three. You can look on a Z-table to find the area between -1 and 3, which is .840 or 84%
Step-by-step explanation:
Please mark me as brainlist
How much simple interest would be paid on a loan of 10,170 at 7.64% for 272 days
Answer:
I'll setup the problem and you can compute the answer
Step-by-step explanation:
The formula for simple:
I = P*r*t
I = interest
P = loan amount
r = interest rate per period (period = days)
n = number of periods
P = 10,170
r = .0764/365
t = 272
Please answer this, its one of my homework questions
Answer:
4^4=4^3*4=64*4=256
4^6=4^5*4=1024*4=4096
Step-by-step explanation:
Answer:
4^4 = 256
4^6 = 4,096
In a blind ESP test, a person correctly identifies whether a tossed coin comes
up heads or tails in 63 trials out of 200. Using the normal approximation
(without the continuity correction), which of the following would you use to
calculate the probability of correctly identifying 63 or more?
Answer:
C
Step-by-step explanation:
the probability of the outcome being greater than 63 is x≥63
Help solve this problem
Answer:
x = -7
Step-by-step explanation:
(x + 14) + (x + 12) = 12
Combine like terms
2x + 26 = 12
Subtract 26 from both sides
2x = -14
Divide both sides by 2
x = -7
Answer:
Step-by-step explanation:
PQ +QR = PR
x + 14 + x + 12 = 12
Combine like terms
x + x + 14 + 12 = 12
2x + 26 = 12
Subtract 26 from both sides
2x = 12 - 26
2x = -14
Divide both side by 2
x = -14/2 =
x = -7
A grocery store manager notices that this month her store sold a total of 521 gallons of ice cream, which represents a decrease of 10% from last month. On the other hand, her store sold 791 pounds of broccoli this month, which represents an increase of 25% from last month. How much ice cream and broccoli did the store sell last month? Round your answers to the nearest integer.
Answer:
Last month the grocery store sold 578.88 gallons of ice cream and 632.8 pounds of broccoli.
Step-by-step explanation:
Since a grocery store manager notices that this month her store sold a total of 521 gallons of ice cream, which represents a decrease of 10% from last month, and on the other hand, her store sold 791 pounds of broccoli this month, which It represents an increase of 25% from last month, to determine how much ice cream and broccoli did the store sell last month, the following calculation must be performed:
Ice cream = 100 - 10 = 90
90 = 521
100 = X
100 x 521/90 = X
52,100 / 90 = X
578.88 = X
Broccoli = 100 + 25 = 125
125 = 791
100 = X
100 x 791/125 = X
79,100 / 125 = X
632.8 = X
Therefore, last month the grocery store sold 578.88 gallons of ice cream and 632.8 pounds of broccoli.
What transformation(s) were made to the original f(x) = x3 graph?
The function was shifted to the right 3 units.
The function was shifted to the left 2 units.
The function was stretched by a factor of 2.
The function was shifted to the right 2 units.
The function was shifted upward 2 units.
The function was stretched by a factor of 0.5.
Answer: it is c which is the function was stretched by all the factor of 2
hope this help
Consumer complaints are frequently reported to the Better Business Bureau. Industries with the most complaints to the Better Business Bureau are often banks, cable and satellite television companies, collection agencies, cellular phone providers, and new car dealerships. Consider the results for a sample of 200 complaints.
Required:
Construct frequency and relative frequency tables showing complaints by industry.
Answer:
[tex]\begin{array}{ccc}{Industry} & {Frequency} & {RF}& {Bank} & {26} & {13\%}& {Cable} & {44} &{22\%} & {Car} & {42} & {21\%} &{Cell} & {60} & {30\%} & {Collection} & {28} & {14\%} &{Total} & {200} & {100\%}\ \end{array}[/tex]
Step-by-step explanation:
Given
[tex]n =200[/tex]
[tex]Bank = 26; Cable = 44; Car = 42; Cell = 60; Collection = 28[/tex]
Required
The frequency relative frequency table
The frequency table is as follows:
[tex]\begin{array}{cc}{Industry} & {Frequency} & {Bank} & {26} & {Cable} & {44} & {Car} & {42} & {Cell} & {60} & {Collection} & {28} & {Total} & {200} \ \end{array}[/tex]
Relative frequency (RF) is calculated using:'
[tex]RF = \frac{Frequency}{Total} * 100\%[/tex]
So, we have:
[tex]Bank = \frac{26}{200} * 100\% = 13\%[/tex]
[tex]Cable = \frac{44}{200} * 100\% = 22\%[/tex]
[tex]Car = \frac{42}{200} * 100\% = 21\%[/tex]
[tex]Cell = \frac{60}{200} * 100\% = 30\%[/tex]
[tex]Collection = \frac{28}{200} * 100\% = 14\%[/tex]
So, we have:
[tex]\begin{array}{ccc}{Industry} & {Frequency} & {RF}& {Bank} & {26} & {13\%}& {Cable} & {44} &{22\%} & {Car} & {42} & {21\%} &{Cell} & {60} & {30\%} & {Collection} & {28} & {14\%} &{Total} & {200} & {100\%}\ \end{array}[/tex]
cos(34) = 8/j i need the answer of the question
Answer:
j = 9.65
Step-by-step explanation:
[tex]\frac{8}{cos(34)}[/tex] = j
j = 9.649743588... (round as needed)
i have 30 sweets and 15 chocolate in a basket.If i take five sweets out the basket,what is the ratio(in its simplest form)of the number of chocolate th the number of sweets left in the basket?
Answer:
If you take 5 sweet out of the basket, then the ratio of the number of chocolate to the number of sweet left in the basket is. \frac{5} {30 - 5} = 5/25 = 1/5
Step-by-step explanation:
Fine the probability. I NEED THE STEPS IF POSSIBLE
Answer:
1/6x1/2=1/12
Step-by-step explanation:
2% of 200 restaurant reviews were negative. How many reviews were negative?
Answer:
4
Step-by-step explanation:
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In 1992, the countries Chad and Denmark each had population of about 5.2 million. However,
the exponential growth rate for Chad was 2.5% per year, which Denmark was 0.1% per year. Find the
population of Denmark when the population of Chad was 10 million people. (Round time to the nearest
tenth, and population to the nearest person).
9514 1404 393
Answer:
5,339,479
Step-by-step explanation:
The populations in millions of the different countries can be represented by the equations ...
c = 5.2(1.025^t)
d = 5.2(1.001^t)
We want to find d when c = 10. Solving for t when c=10, we have ...
10 = 5.2(1.025^t)
10/5.2 = 1.025^t
log(10/5.2) = t×log(1.025)
t = log(10/5.2)/log(1.025)
Then the value of d for that value of t is ...
d = 5.2(1.001^(log(10/5.2)/log(1.025)) ≈ 5.3394789
The population of Denmark is about 5,339,479 when the population of Chad is 10 million.
_____
If we round the number of years to 26.5 before computing the population of Denmark, we get 5,339,571 -- about 92 more people. Ordinarily, one would not round intermediate results.
Choose each number that shows 4% as an equivalent fraction, decimal, or percent. Select all that apply.
Answer:
1/4
Step-by-step explanation:
4 divide in half so should be 1/4
it would be nice if anyone could help
========================================================
Explanation:
Focus on the upper semicircle. It's composed of the arc pieces that are 30 degrees, x degrees, and y degrees. The y is the missing unmarked portion of the upper semicircle.
Subtract the 30 and y degree angles, divide by 2, and set that result equal to 10. This will help us solve for y
(30-y)/2 = 10
30-y = 10*2
30-y = 20
-y = 20-30
-y = -10
y = 10
Because the 30, x and y arcs form a semicircle, this must mean the three arcs add to 180 degrees
30+x+y = 180
30+x+10 = 180
x+40 = 180
x = 180-40
x = 140
