Answer:
The correct option is D
45/18 and 35/14 are proportional
Explanation:
Two ratios represent quantities that are proportional if the have the same rate.
7/5 and 14/9 are not the same rate
32/20 and 22/10 are not the same rate
3/4 and 5/12 are not the same rate
45/18 and 35/14 are the same rate
what number is 1/10 the vaule of 237
What is 4x5+6n-3? It’s for my math homework due tomorrow
Answer:
=17 + 6n.
Step-by-step explanation:
\(4 \times 5 + 6n - 3 \\ = 20 + 6n - 3 \\ = 20 - 3 + 6n \\ = 17 + 6n\)
Inverse function of y=1-x/7
Answer:
x = (7,0)
y = (0,1)
Step-by-step explanation:
The map shows an obstacle course at a school fair. The units are given in yards.
What is the total distance of
the obstacle course?
? yards
Start
(-40, -10)
Tire
Race
(-40, -30)
Finish
(10, 20)
Monkey
Bars
(40,20)
Rope
Climb
(40,-30)
The total distance of the obstacle course can be calculated by finding the distance between each pair of consecutive points and adding them up. The distance between two points (x1, y1) and (x2, y2) can be calculated using the formula: distance = sqrt((x2 - x1)^2 + (y2 - y1)^2).
Using this formula, we can calculate the distances between each pair of consecutive points as follows:
Start to Tire Race: distance = sqrt((-40 - (-40))^2 + (-30 - (-10))^2) = 20 yards
Tire Race to Rope Climb: distance = sqrt((40 - (-40))^2 + (-30 - (-30))^2) = 80 yards
Rope Climb to Monkey Bars: distance = sqrt((40 - 40)^2 + (20 - (-30))^2) = 50 yards
Monkey Bars to Finish: distance = sqrt((10 - 40)^2 + (20 - 20)^2) = 30 yards
Adding up all these distances, we get a total distance of 20 + 80 + 50 + 30 = 180 yards for the obstacle course.
a recipe that makes 4 servings calls for 2/3 cup of flour how much flour is required to make 20 servings
Answer:
3.35 cups
Step-by-step explanation
Answer:
3 1/3
Step-by-step explanation:
THATS THE ANSWER BRAINLIEST PLEASE
Which of the following is a true statement of the figure?
An image of a triangle ABC. The angle bisector of angle B is ray BD. Point D lies on side AC.
Question 1 options:
A
D
D
C
=
D
C
C
B
A
C
A
B
=
D
B
D
C
A
D
D
C
=
A
B
C
B
B
C
B
A
=
D
C
C
B
Angle ∠EBD is congruent to angle ∠DBA. Option D is the true statement.
What is an angle bisector?An angle bisector is the line segment that bisects the angle into two equal halves.
Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.
Here,
Ray BE is a bisector of angle CBA,
∠CBE = ∠EBA = 60°
∠EBD = ∠EBA - ∠DBA
∠EBD = 60 - 30 = 30
So,
∠EBD = ∠DBA [DB becomes angle bisector of angle EBA]
Thus, ∠EBD is congruent with ∠DBA is the only correct answer among the option.
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Full Question:
Although part of your question is missing, you might be referring to this full question:
Which of the following statements is true if ray BE is a bisector of angle CBA?
A. Ray BD is a bisector of angle CBA.
B. ∠EBD is congruent to ∠CBE.
C. Ray BE is a bisector of angle ABE.
D. ∠EBD is congruent to ∠DBA.
HELLO CAN ANYONE ANSWER THIS PLEASE I WILL MARK YOU THE BRAINLIEST !!!
If electricity is billed at a rate of $0.75 per KWH and you used on average 120 KWHs per month, what would you expect to pay each month?
You would expect to pay $90 each month for electricity based on an average usage of 120 KWHs per month.
How to find the expected monthly payTo calculate the monthly cost of electricity, you can multiply the average number of kilowatt-hours (KWH) used per month by the cost per KWH.
Given:
Cost per KWH: $0.75
Average monthly usage: 120 KWHs
To find the monthly cost, you can multiply the cost per KWH by the average monthly usage:
Monthly Cost = Cost per KWH * Average monthly usage
Plugging in the values, we have:
Monthly Cost = $0.75/KWH * 120 KWHs
Calculating the result:
Monthly Cost = $90
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Find which of these parallelograms is possible to work out the area!
Please help me TvT
Answer:
B, D, EStep-by-step explanation:
Area can be calculated if the length of the base and height given.
According to measurements:
A . Impossible, as the length of base is not givenB. Possible. A = 4*2 = 8 cm²C. Impossible, the the length of height is not givenD. Possible. A = 4*3 = 12 cm²E. Possible. A = 5*2 = 10 cm²F. Impossible, the the length of height is not givenfactorise
18p+6
please im so bad
A ship leaves port at 1 pm traveling north at the speed of 30 miles/hour .at 3 pm the ship adjusts its course20° eastward. Sketch a diagram to show the path the ship moved and the distance the ship is from the port. And how far the ship is from the port at 4pm?
The ship is 88.8 miles far from the port at 4 pm.
Given,
The displacement from 1 to 3 in the afternoon.
D1 = 30 miles/hr × 2 hr
= 60 miles to the north
The displacement from 3 till 4 in the afternoon.The ship changes its course 20 degrees eastward at 3 o'clock.
Therefore, D2 = 30 miles/hr × 1 hr
= 30 miles to the 20° north eastward
By combining two vectors, the resulting displacement:
D = √((D1 ₊ D2 × cos(20°))² ₊ (D2 × sin(20°))²
D = √((60 ₊ 30 × cos (20°))² ₊ (30 × sin(20°))²
D = 88.8 miles
Hence the ship is 88.8 miles far away from the port at 4 pm.
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Order cube root of eighty-eight, twenty-eight ninths, square root of nineteen from greatest to least.
cube root of eighty-eight, twenty-eight ninths, square root of nineteen
twenty-eight ninths, square root of nineteen, cube root of eighty-eight
twenty-eight ninths, cube root of eighty-eight, square root of nineteen
cube root of eighty-eight, square root of nineteen, twenty-eight ninths
Answer:
(a) twenty-eight ninths, square root of nineteen, cube root of eighty-eight
Step-by-step explanation:
When ordering a list of numbers by hand, it is convenient to convert them to the same form. Decimal equivalents are easily found using a calculator.
OrderThe attachment shows the ordering, least to greatest, to be ...
\(\dfrac{28}{9}.\ \sqrt{19},\ \sqrt[3]{88}\)
__
Additional comment
We know that √19 > √16 = 4, and ∛88 > ∛64 = 4, so the fraction 28/9 will be the smallest. That leaves us to compare √19 and ∛88, both of which are near the same value between 4 and 5.
One way to do the comparison is to convert these to values that need to have the same root:
√19 = 19^(1/2) = 19^(3/6) = sixthroot(19³)
∛88 = 88^(1/3) = 88^(2/6) = sixthroot(88²)
The roots will have the same ordering as 19³ and 88².
Of course, these values can be found easily using a calculator, as can the original roots. By hand, we might compute them as ...
19³ = (20 -1)³ = 20³ -3(20²) +3(20) -1 = 8000 -1200 +60 -1 = 6859
88² = (90 -2)² = 90² -2(2)(90) +2² = 8100 -360 +4 = 7744
Then the ordering is ...
28/9 < 19³ < 88² ⇒ 28/9 < √19 < ∛88
Answer:
the ordering is
28/9 < 19³ < 88² ⇒ 28/9 < √19 < ∛88
Step-by-step explanation:
Given the line: y = -1/5x-3, what is the slope of a line parallel and perpendicular
to the function
Answer:
parallel: m= -1/5
parpendicular: m= 5
Step-by-step explanation:
parallel lines have the same slope
- 1 stays the same so - 1
5 5
parpendicular lines have the opposite reciprocal slope
- 1 flipped is - 5 turn the negative into a positive 5 or 5
5 1 1
The Big Motor Works (BMW) is considering a production schedule for cars and trucks over the next two months. They must deliver on time 400 trucks and 800 cars in month one. In month two, their demand is 300 trucks and 300 cars. During each month, at most 1,000 vehicles can be built. Each truck uses two tons of steel and each car uses one ton of steel. During the first month, the steel cost will be $400 per ton. During the second month the cost of steel will go up to $600 per ton. At most 2,500 tons of steel can be purchased in each month. (Steel can only be used in the month it is purchased.) At the beginning of month one, 100 trucks and 200 cars are in inventory. At the beginning of each month a hold- ing cost of $150 per vehicle is assessed. Each car gets 30 mpg, and each truck gets 20 mpg. To meet fuel economy regulations, the vehicles produced each month must average at least 26 mpg. The company wants to minimize its total costs.
a. Formulate a linear program to help BMW determine how many cars and trucks it should produce each month and how many it should keep in inventory each month.
b. Use Solver to find the optimal solution to the linear program from part a. Using a sensitivity report from the Solver solution in part b, answer questions c—g.
c. How many trucks and how many cars should be produced in each month?
d. Suppose the price of steel fell by $25 per ton. What would be the total impact on optimal solution and optimal value?
e. The company just got notified the supply of steel has decreased from 2,500 tons to 2,000 tons. What impact will this have on their production plans?
f. The company is able to add overtime at a cost of $900 per car to increase total production in either month. Should they add overtime in either month? Why or why not?
A computer engineer is investigating whether the amount of installed RAM (random access memory) can be used to predict the mean cost of a laptop with the operating system. The computer engineer collected a sample of 20 laptops with the same operating system. The engineer wants to estimate the mean change in the cost, in dollars, for each increase of 1 gigabyte of installed RAM. Assuming the conditions for inference have been met, which of the following inference procedures is the most appropriate for such an investigation?
a. A two-sample z-interval for a difference between proportions.
b. A two-sample t-interval for a difference between means.
c. A matched-pairs t-interval for a mean difference.
d. A one-sample t-test for means.
e. A linear regression t-interval for slope
Two angles of a triangle have measures of 55° and 65°.
Which could not be a measure of an exterior angle of the
triangle?
A. 120
B.125
C.130
D.115
Answer:
C
Step-by-step explanation:
an exterior angle is supplementary to the adjacent interior angle.
So 180 - 55 = 125
180 - 65 = 115
The third angle of your triangle is 180 - 55 - 65 = 60
180 - 60 = 120
C is the only value that cannot be the measure of an exterior angle.
The Smith family made a 12-pound turkey for dinner. If each person will eat of a pound, how many
people will it take to finish the turkey?
Answer:
Step-by-step explanation:
12 pound turkey
one person eats 1 lb
12 people will eat 12 lbs
In the month of March, the temperature at the South Pole varies over the day in a periodic way that can be modeled approximately by a trigonometric function.
The highest temperature is about -50°C, and it is
reached around 2 p.m. The lowest temperature is
about -54°C and it is reached half a day apart
from the highest temperature, at 2 a.m.
Find the formula of the trigonometric function that models the temperature T in the South Pole in March t hours after midnight. Define the function using radians.
The trigonometric function that models the temperature T in the South Pole in March t hours after midnight is given as follows:
T(t) = 2cos(π/12(t - 14)) - 52.
How to define the cosine function?The cosine function is defined as follows:
g(x) = acos(bx+c)+d.
The coefficients have these following roles:
a: amplitude.b: The period is of 2pi/B.c: phase shift.d: vertical shift.The lowest temperature is of -54ºC, while the highest is of -50ºC, with a difference of 4ºC, hence the amplitude is given as follows:
2a = 4
a = 2.
A function with amplitude of 2 would oscillate between -2 and 2, while this one oscillates between -54 and -50, hence the vertical shift is given as follows:
d = -50.
The period is of 24 hours, hence:
2π/B = 24
24B = 2π
B = π/12.
The highest value of the cosine function should be assumed at t = 0, but it is assumed at t = 14(2 p.m.), hence the phase shift is given as follows:
c = 14.
Thus the function is defined as follows:
T(t) = 2cos(π/12(t - 14)) - 52.
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How many kilometers is 2,400,000 meters?
Answer:
2,400 km
Step-by-step explanation:
1 km = 1000 m or 1 m = 10^-3 km
so 2,400,000 x 10^-3 = 2,400 km
A label for a drug indicates that each milliliter contains 7 milligrams of the drug. How many milligrams are in 8 milliliters?
There are 56 milligrams in 8 milliliters of the drug if the drug's label says each milliliter contains 7 milligrams of the substance.
What is Ratio?The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.
Let x milligrams would in 8 milliliters.
We can write this as a ratio as
As per the given information,
1 milliliter : 7 milligrams = 8 milliliter : x milligrams
⇒ 1 / 7 = 8 / x
⇒ x = 8 × 7
⇒ x = 56 milligrams
Hence, there are 56 milligrams in 8 milliliters of the drug.
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Eduardo is painting a rectangular wall that is 96 inches high and 110 inches long. What is the area of the wall?
Here the height and length are the sides of the rectangular wall and we have to find the area.
Area of rectangle is given by:
\( = l \times b\)
where l is the length and b is the breadth/width according to the question. Plugging the given values:
\( = 110 \times 96 \: {inch}^{2} \)
\( = 10560 \: {inch}^{2} \)
Hence:-The area of the wall is 10560 inch²
What are the x-intercepts of the graph below ?
Answer:
(3, 0)(-2, 0)Step-by-step explanation:
You want to identify the x-intercepts on the graph.
X-interceptAn "x-intercept" is a point where the graph crosses or touches (intercepts) the x-axis. The y-value there is always 0.
The given graph crosses the x-axis where x = -2 and x = 3. This means the x-intercept points are ...
(-2, 0) and (3, 0)
<95141404393>
Fill in the missing statements and reasons for the proof. Given ∠2 ≅ ∠3 proof ∠1 ≅ ∠4
The proof is given as follows:
∠1 ≅ ∠2 - Vertical Angles are ≅∠2 ≅ 3 - Given∠3 ≅4 - Vertical Angles are ≅Thus, ∠1 ≅ 4 Transitive properties.What are transitive properties?The transitive property argues that "if two quantities are equal to the third quantity, then we may claim that all the quantities are equal to one other".
The term transitive refers to a transfer. If there are three quantities a, b, and c, and if an is connected to b by some rule and b is related to c by the same method, then a and c are related to each other by the same rule; this property is known as the transitive property of equality.
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If you are god of math you can try this
Answer:
BRO, u dont need to be a god :D, This is simple math and you just need to use your brains
Step-by-step explanation:
Given is a polynomial, and the values of the variables in it are given by showing what set are they an element of, right? It just gets easier from here
They tell us that 'z' is an element of set C, which stands for Complex Numbers.
And they also tell us that 'a' is an element of set Z, which stands for Integers, which are just numbers with a sign :).
They have also given us a root (solution) to the polynomial, which is also a complex number.
The two statements given are just there for us to verify that we are on the right track to the solution.
We can see that (z = 3 + i) which of course is a complex number, due to the presence of 'i', and 'a' is an integer for when we find its value.
Put it all together and we will get the answer.
Like this,
take the given value of 'z' and place it into the polynomial given, now keep your eyes open here. They said the value of z is as such when the polynomial is an equation which equals 0, so hence we get this:
P(z) = a(3+i)³ - 37(3+i)² + 66(3+i) - 10 = 0,
now just go on simplifying,
=> a(3³+i³+3×3²i+3×3i²) - 37(3²+2×3×i+i²) + 66×3 + 66×i - 10 = 0
=> a(27-i+27i-9i) - 37(9+6i-1) + 198 + 66i - 10 = 0
=> a(27+17i) - 37(8+6i) + 188 + 66i = 0
=> a(27+17i) = 296 + 222i - 188 - 66i
=> a(27+17i) = 108 + 156i
=> a = (108+156i) / (27+17i)
=> a = (108+156i)(27-17i) / (27)² - (17i)²
=> a = (5568 + 2376i) / (699 + 289)
=> a = 5568 + 2376i / 1488
DONNEEE....yayyyy....lol
If Black Panther leaves in a jet from Wakanda traveling at 3,000 mph, how many hours will it take T'Challa to get to the United States that's 17,500 miles away?
Given,
The speed of the jet is 3000 miles per hour.
The distance jet need to travel is 175000.
The time is calculated as,
\(\text{Time}=\frac{\text{distance}}{speed}\)Substituting the values then,
\(\begin{gathered} \text{Time}=\frac{\text{1}7500\text{ miles}}{3000\text{ miles / hour}} \\ =5\text{ }\frac{\text{2500}}{3000} \\ =5\frac{25}{30} \\ =5\frac{5}{6}\text{ hours} \\ =5.83\text{ hours} \\ =5\text{ hours 50 minutes} \end{gathered}\)Hence, the time taken by the jet to cover the distance is 5(5/6) hours or 5 hours 50 minutes.
The function p(x) = 8x – 10 shows the profit, in dollars, for selling x books.
Answer:
Every book is 8 dollars but you have to subtract 10, so like this:
Step-by-step explanation:
p(x) = 8x - 10 Lets say you sell 2 books
p(2) = 8(2) - 10
p(2) = 16 - 10
p(2) = 6 You would make 6 dollars.
4x² when x = 5/6 and 1/2
How do I find the answer to this question?
Answer:
you see
Step-by-step explanation:
answers
|x-3|
-|x+3|
-|x-3|
|x|+3
Answer:
B) -|x+3|
Step-by-step explanation:
Use the equation y=a|x-h|+k
a=-1 since the graph opens downwards with no stretch or shrink
h=-3 since the horizontal shift is 3 units right
k=0 since there's no vertical shift
Therefore, our equation is y=-|x+3| making B the correct answer
A study was conducted on students from a particular high school over the last 8 years. The following information was found regarding standardized tests used for college admittance. Scores on the SAT test are normally distributed with a mean of 1029 and a standard deviation of 205. Scores on the ACT test are normally distributed with a mean of 22.7 and a standard deviation of 5. It is assumed that the two tests measure the same aptitude, but use different scales.
If a student gets an SAT score that is the 50-percentile, find the actual SAT score.
SAT score =
Round answer to a whole number.
What would be the equivalent ACT score for this student?
ACT score =
Round answer to a whole number.
If a student gets an SAT score of 1501, find the equivalent ACT score.
ACT score =
Round answer to a whole number.