Answer:
16.7 quarts/kmStep-by-step explanation:
Distance = 20 kmWater consumed = 334 quartsWater consumption rate is:
334 quarts / 20 km = 16.7 quarts/kmf(x)=2x-1 represents what type of translation?
A. The line moves up 1 unit and stretches
B. The line moves down 1 unit and stretches
C. The line moves up 1 unit and compresses
D. The line moves down 1 unit and compresses
The type of translation which the function f(x) = 2x - 1 represents is: B. the line moves down 1 unit and stretches.
The types of transformation.Generally, there are different types of transformation and these include the following:
ReflectionDilationRotationTranslationWhat is a translation?A translation can be defined as a type of transformation which moves every point of the object in the same direction, as well as for the same distance.
In this scenario, we can reasonably infer and logically deduce that function f(x) = 2x - 1 moves the line down 1 unit and stretches.
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Write the slope-intercept form of the equation of the line.
Answer:
y = x + 2
Step-by-step explanation:
By doing the rise over run, the slope is 1
The y - intercept is 2
You plug the numbers in the equation y = mx + b
y = x + 2
The temperature rose 5 degrees from 6:00am to 12:00pm.
The average rate of change per hour in the temperature is 0.83 degrees.
What is the average rate of change per hourTo find the average rate of change per hour, we need to divide the total change in temperature by the number of hours over which the temperature changed.
The temperature rose by 5 degrees from 6:00 am to 12:00 pm, which is a period of 6 hours.
Therefore, the average rate of change per hour can be calculated as follows:
average rate of change per hour = total change in temperature / number of hours
So, we have
average rate of change per hour = 5 degrees / 6 hours
average rate of change per hour = 0.83 degrees/hour (rounded to two decimal places)
So, the average rate of change per hour is 0.83 degrees.
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NEED HELP IMMEDIATELY!
Simplify 10√2y + 5√2y + 3√2y.
A. 18√6y
B. 18√2y
C. 12√2y
D. 18√6y^3
(ANSWER IS NOT A)
18 root
2
Step-by-step explanation:
In this question imagine there is no y
It will be 10 root2 +5 root2 +3 root 2 it will be 18 root 2
Convert the following decimal to a fraction.
34
Answer:
34/1
Step-by-step explanation:
34 is a whole number so it can only have a one thrown under it
A machine fills boxes at a constant rate. At the end of 35 minutes, it has filled 5 boxes.
Which table represents the relationship between the number of minutes the machine fills boxes and the number of boxes it has filled?
The machine will take 7 minutes to fill one box. Hence, table A. represents the correct relationship between the number of minutes the machine fills boxes and the number of boxes it has filled.
Boxes filled by machine in 35 minutes = 5 boxes
So, the number of boxes the machine fills in each minute = Time taken to fill 5 boxes/ Number of boxes filled
= 35/5
= 7 minutes
Time taken by machine to fill one box = 7 minutes
Time taken to fill two boxes = 14 minutes
Time taken to fill three boxes = 21 minutes
Time taken to fill four boxes = 28 minutes
Hence, table A is the correct answer from the given options
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65 people like cricket or tennis .40 of them like cricket while 30 like cricket only .How many like tennis only?How many like tennis?
Answer:
The overlap is 40 - 30 = 10 which means 10 people like both. 65 - 40 = 25 people like tennis only and 25 + 10 = 35 people like tennis.
hi im not sure how to answer this ....
Answer:
i think its reflection over the x-axis up 1 unit
Step-by-step explanation:
Multiply and simplify. (1 − 5i)(1 − 2i) A) 1 + 7i B) 9 − 7i C) 1 − 7i D) − 9 − 7i
Answer:
The product renders: \(-9-7\,i\)
Step-by-step explanation:
Recall that the product of the imaginary unit i by itself renders -1
Now proceed with the product of the two complex numbers using distributive property:
\((1-5\,i)\,(1-2\,i)=1-2\,i-5\,i+10\,i^2=1-7\,i-10=-9-7\,i\)
Item 8 A container has peppermint gum and spearmint gum. There are 18 pieces of peppermint gum in the container and the ratio of peppermint gum to spearmint gum is 2 : 3. Find the number of pieces of spearmint gum in the container.
Answer:Number of Spearmint gum = 27 pieces
Step-by-step explanation:
step 1
Let the total number of peppermint gum and spearmint gum in the container = X
Ratio of peppermint gum to spearmint gum= 2 : 3.
Total ratio = 2+ 3=5
Step 2
we were given that peppermint gum= 18 pieces , so total number of gums will be calculated as
Ratio of peppermint/ Total ratio x Total number of gums = Number of peppermint
2/5 x X= 18
X=(18X 5) / 2 = 45
X= Total number of gums = 45
Number of spearmint gum will now be
Ratio of spearmint/ Total ratio x Total number of gums = Number of spearmint
3/5 x 45= 27
Therefore Number of Spearmint gum = 27 pieces
In Mr. Martins math class there are 15 students out of which 4 will be selected to receive a special award. How many combinations of students can be selected
Answer:
1365 combinations
Step-by-step explanation:
This is 15C4
= 15!/ (4!11!
= 15*14*13*12 / 4*3*2*1
= 32760/24
= 1365.
In Exercises 27 and 28, (a) rewrite the postulate in if-then form. Then (b) write the converse, inverse, and contrapositive and state which ones are true. 28. Plane-Point Postulate (Postulate 2.5)
The converse is true, but the inverse and contrapositive are not necessarily true.
In Exercises 27 and 28, we will work with the Plane-Point Postulate (Postulate 2.5). Let's go through the steps to rewrite it in if-then form and then determine the truth value of its converse, inverse, and contrapositive.
(a) Rewrite the Plane-Point Postulate in if-then form:
If a point lies in a plane, then it is determined by three noncollinear points in that plane.
(b) Converse, inverse, and contrapositive:
Converse: If a point is determined by three noncollinear points in a plane, then it lies in that plane.
Inverse: If a point does not lie in a plane, then it is not determined by three noncollinear points in that plane.
Contrapositive: If a point is not determined by three noncollinear points in a plane, then it does not lie in that plane.
To determine the truth value of each statement, we need to analyze whether they hold true in all cases.
The converse is true. If a point is determined by three noncollinear points in a plane, then it indeed lies in that plane. This follows from the original postulate.
The inverse is not necessarily true. Just because a point does not lie in a plane does not mean it cannot be determined by three noncollinear points in that plane. There may be other reasons why the point does not lie in the plane.
The contrapositive is not necessarily true either. If a point is not determined by three noncollinear points in a plane, it does not necessarily imply that the point does not lie in that plane. There may be other ways to determine the point's position in the plane.
Therefore, the converse is true, but the inverse and contrapositive are not necessarily true.
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please help thank you.
The Measure of angle A is 120°, Measure of angle C = 120° and the Measure of angle D is 60°
How to calculate the angleIn a parallelogram, opposite angles are congruent. Therefore, if the measure of angle A is 120°, then the measure of angle C is also 120°.
Since angle A and angle C are opposite angles, their adjacent angles are also congruent. This means that the measure of angle B is equal to the measure of angle Z.
Now, let's consider angle D. In a parallelogram, the sum of the measures of adjacent angles is always 180°. Since angle C is 120°, the adjacent angle D must be:
180° - 120°
= 60°.
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I need help with this problem!!
The first one is r=5
The second one is m=175
Answer:
1. r=5 2.m=175
HOPE THIS HELPS :)
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
7r+10=45
Step 2: Subtract 10 from both sides.
7r+10−10=45−10
7r=35
Step 3: Divide both sides by 7.
7r /7 = 35 /7
r=5
Step 1: Simplify both sides of the equation.
m /5 −9=26
1 /5 m+−9=26
1 /5 m−9=26
Step 2: Add 9 to both sides.
1 /5 m−9+9=26+9
1 /5 m=35
Step 3: Multiply both sides by 5.
5*( 1 /5 m)=(5)*(35)
m=175
The interest on an investment varies directly as the rate of interest. If the interest is $43 when the interest rate is 4%, find the interest when the rate is 8%.
Answer:
$86
Step-by-step explanation:
intrest=principal x intrest rate
43=p x .04
1075
I=1075 x .08
In the expression 73 – 4•3+8, the first operation is...? A.an exponent
B.subtraction.
C.multiplication.
D.addition.
Answer:
C. multiplication
Step-by-step explanation:
P= ()
E=^
M=x
D=/
A=+
S=-
How many bases \($b$\) are there such that \($663_b$\) is prime?
Answer:
none
Step-by-step explanation:
We assume you intend positive rational bases.
\(663_b\) is divisible by 3, so cannot be prime.
Due on September 14th at 2:30 pm in 102 Williams, No Exceptions, No Excuses (If absent, submit as a pdf with excused absence document in Excused Absence portal on CHEM 2261 Moodle) 1. Draw all the important resonance structures for the following ion showing all lone pairs of electrons, formal charges and double bonds. Show the electron flow by using arrows for full credit. (6 points) Fill in the boxes with the letter of the functional groups present in the following molesule.
The important resonance structures for the given ion must be drawn, showing all lone pairs of electrons, formal charges, double bonds, and electron flow arrows.
Resonance structures are alternative representations of a molecule or ion that differ only in the placement of electrons. They are important in understanding the stability and reactivity of organic compounds. In this case, we are asked to draw the important resonance structures for a specific ion.
To start, we need to identify the ion and its molecular formula. Once we have that information, we can determine the possible resonance structures. Each resonance structure is a valid Lewis structure that obeys the octet rule and maintains the overall charge of the ion.
To draw the resonance structures, we begin by placing the atoms in their correct positions and adding lone pairs of electrons as needed. Next, we identify any double bonds or formal charges present in the original ion.
Using curved arrows, we show the movement of electrons to generate alternative resonance structures. The movement of electrons can involve breaking and forming bonds, as well as the shifting of lone pairs.
By drawing all the important resonance structures, we gain a better understanding of the electron distribution and the stability of the ion. This knowledge is crucial for predicting the reactivity and behavior of the compound.
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a dinner offers a choice of wo side items from the liste with each entree. how many ways can two items be selected?
The number of ways two side items can be selected from a list depends on the number of items on the list.
For instance, if there are five side items on the list, the number of ways to choose two items from the list can be calculated as 5C2, which equals 10.
To determine the number of ways to select two side items from a list, we need to use the combination formula, nCr. In this case, n represents the number of items on the list, and r represents the number of items to be selected (in this case, 2). Using the formula, 5C2 is equal to 5! / (2! x (5-2)!) = 10. Therefore, there are 10 ways to select two side items from a list of 5.
The number of ways two side items can be selected from a list depends on the number of items on the list. To calculate this, we use the combination formula, nCr. In this case, n represents the number of items on the list, and r represents the number of items to be selected. By applying this formula, we can determine the number of ways two items can be selected from a given list.
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Find the 32nd term of this sequence.
9, 4, -1, -6, -11, ...
Answer:
-146
Step-by-step explanation:
so it seems that the sequence is moving down by 5, so therefore the sequnce would be as follows
9, 4, -1, -6, -11, -16, -21, -26, -31, -36, -41, -46, -51, -56, -61, -66, -71, -76, -81, -86, -91, -96, -101, -106, -111, -116, -121, -126, -131, -136, -141, -146
the 32nd term would be -146
You are deving up a lang, incined road After 1,20 mi you notice that sigrs aloog the roadilibe indicate that your elevation has increased by 520ft. You may want lo review (Pades 2−65) What is the angle of the road above the horizontal? Express your answer using two significant figures. Part 日 How far do you huve to drive fo gain an addisonal 160ft of elevatoo? Express your answer using two signalicant figures.
you have to drive approximately 0.372 miles to gain an additional 160 ft of elevation.
First, we need to convert the distance driven to feet, as the elevation change is given in feet. Since 1 mile is equal to 5,280 feet, we have:
Distance driven = 1.20 miles * 5280 ft/mile = 6,336 ft
Now, we can find the angle of the road using trigonometry. The tangent of an angle is equal to the opposite side (change in elevation) divided by the adjacent side (distance driven). Let's denote the angle as θ.
Tangent(θ) = opposite/adjacent
Tangent(θ) = 520 ft / 6,336 ft
To find the angle, we can take the inverse tangent (arctan) of both sides:
θ = arctan(520 ft / 6,336 ft)
Using a calculator, we find that θ ≈ 4.63 degrees.
Therefore, the angle of the road above the horizontal is approximately 4.63 degrees.
To find how far you have to drive to gain an additional 160 ft of elevation, we can set up a proportion using the given information:
(Change in elevation) / (Distance driven) = (Additional elevation) / (Additional distance driven)
520 ft / 1.20 miles = 160 ft / x
To solve for x (additional distance driven), we can cross-multiply and solve for x:
520 ft * x = 160 ft * 1.20 miles
x = (160 ft * 1.20 miles) / 520 ft
x ≈ 0.372 miles
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Find the greatest common factor of 28 and 44.
Answer:
The GCF is 4
Step-by-step explanation:
Answer: 4
Step-by-step explanation:
look at a Multiplication chart find all factors and find the highest number for 28 and 44
Leon pays $12.50 per month for a music subscription service.
One month he also buys 6 songs from the service. Each song
costs the same. His bill for that month is $17.84. In dollars, how much does he pay for each song?
Answer:
2.97
Step-by-step explanation:
Okay, so this is pretty easy.
We know that it costs 12.50 each month and he bought another 6 songs. We know how much his bill is for that month. All we need to do here is divide.
17.84 / 6 = 2.97
So, your answer would be 2.97
The division is one of the four fundamental arithmetic operations. Leon pays for each song is $0.89.
What is Division?Division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.
Given that the cost of a monthly subscription is $12.50, while the bill this month is $17.84. Therefore, the extra cost added to the bill is,
\(\text{Extra Cost} = \$17.84 - \$12.50 = \$5.34\)
Now, as Leon buys 6 songs which cost is the same for all, therefore, the cost of the six songs,
\(\text{Cost of each songs} = \dfrac{\$5.34}{6} = \$0.89\)
Hence, Leon pays for each song is $0.89.
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the study of statistics rests on what two major​ concepts?
The study of statistics rests on two major​ concepts probability which is the branch of mathematics that deals with the likelihood of events occurring and Data Analysis is the process of examining and interpreting data in order to gain insights and make better decisions
Probability theory is based on the idea that, given enough data, the frequency of an event can be predicted and allows for the formulation of mathematical models that can quantify the likelihood of particular outcomes. Probability is the foundation of statistics and helps to explain the behavior of chance events.It involves the collection, organization, and analysis of data from a variety of sources, such as survey responses, observations, experiments, or existing databases.
Data analysis is used to identify patterns and relationships in data, draw conclusions, and make decisions. It is an important part of statistics, as it helps to uncover insights that would otherwise remain hidden. Data analysis tools, such as statistical models, can be used to gain greater insight into the data.
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If two angles share a vertex, then they are __________.
a. Adjacent
b. Complementary
c. Supplementary
d. Congruent
The required answer is the Adjacent.
If two angles share a vertex, then they are called adjacent angles. Adjacent angles are two angles that have a common vertex and a common side, but no common interior points. In other words, they share one side, which is a ray, and have a common endpoint, which is the vertex.
For example, two angles, angle A and angle B, that share the vertex point P. The sides of angle A are the ray PA and the ray PB, while the sides of angle B are the ray PB and the ray PC. In this case, angle A and angle B are adjacent angles because they have the same vertex P and share the side PB.
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"If an interest rate expressed in decimal places is stated as 0.472,
how will this be written in percentages (%)?
Enter your answer as a number to
one decimal place.
An interest rate expressed as 0.472 in decimal form is equivalent to 47.2% when expressed as a percentage.
To convert a decimal to a percentage, you need to multiply it by 100. In this case, the decimal 0.472 can be converted to a percentage by multiplying it by 100, resulting in 47.2%. The decimal representation signifies that the interest rate is 0.472 times the principal amount, whereas the percentage representation indicates that the interest rate is 47.2% of the principal amount.
When expressing interest rates, percentages are commonly used to provide a clearer understanding to individuals. Percentages make it easier to compare interest rates and determine the impact they will have on loans, investments, or savings.
The conversion between decimal and percentage forms is straightforward: move the decimal point two places to the right (equivalent to multiplying by 100) to convert from decimal to percentage, or move the decimal point two places to the left (equivalent to dividing by 100) to convert from percentage to decimal. In this case, the decimal interest rate of 0.472 becomes 47.2% when expressed as a percentage.
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One angle measures 24°, and another angle measures (7d − 4)°. if the angles are complementary, what is the value of d? a. d = 80 b. d = 17 c. d = 10 d. d = 3
If the angles are complimentary, the value of d is 10. So the answer is (c) d = 10.
By using this information to set up an equation:
24 + (7d - 4) = 90
Simplifying the equation, we get:
7d + 20 = 90
Subtracting 20 from both sides, we get:
7d = 70
Dividing both sides by 7, we get:
d = 10
Complementary angles are two angles whose sum is 90 degrees. In other words, if the measure of one angle is x degrees, then the measure of its complement is (90 - x) degrees.Complementary angles are two angles whose sum is 90 degrees. In other words, if the measure of one angle is x degrees, then the measure of its complement is (90 - x) degrees.
Complementary angles are important in geometry and trigonometry.
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11. Sarah is building a rock garden in her backyard, She needs 20 hg of rocks to fill
the garden completely. She has already purchased 1,650 g of rock. How much more
rock does she need to buy?
Sarah needs to buy 1,350 grams (1.35 kg) of more rock to fill the garden completely.
To calculate how much more rock Sarah needs to buy, we subtract the amount of rock she has already purchased (1,650 grams) from the total amount of rock needed to fill the garden completely (20 hg).
First, we need to convert the units to the same system. Since 1 hg is equal to 100 grams, 20 hg is equal to 20 * 100 = 2,000 grams.
Next, we subtract the amount of rock Sarah already has (1,650 grams) from the total amount needed (2,000 grams) to find out how much more she needs.
2,000 grams - 1,650 grams = 350 grams.
Therefore, Sarah needs to buy 350 grams (0.35 kg) more rock to fill the garden completely.
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A bird is about 6.9 inches long. If the bird can fly 64 miles with the wind in the same time it can fly 44 miles against the wind when the wind speed is 5 mph, what is the rate of the bird in still air?
Answer:
69?
Step-by-step explanation:
wheres the 420 at aye gottem
what is -1/6 to the fifth power in fraction form
Answer:
The answer is 12860082/100000000000
The fraction form of the expression is -1/7776.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
\((-1/6)^5\)
This can be simplified as,
= \(\frac{(-1)^5}{6^5}\)
= -1/7776
Thus,
The fraction form of the expression is -1/7776.
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