Answer:
(0.5,0) , (-3,0) ,and (0,-1.5)
Step-by-step explanation:
Just look where the points touch the x- and y-axis.
It touches twice on the x- and once on the y-axis.
Hope that helps!
if i simplified 6/33 what would my answer be
Answer:
Exact form 2/11
Decimal form 0.18
Gale's grade in science for his term is determined by the average of five test grades. His first four grades are 80,95,78,and 90. In order to get a B for the term,
Gale needs to get a 77 on his next test to get a B for the term since the average of the 5 tests need to be 84 in order to get a B.
To calculate Gale's average grade for the term, we need to find the sum of his five test grades and then divide by the number of tests. We know that his first four grades are 80, 95, 78, and 90, so the sum of these four grades is:
80 + 95 + 78 + 90 = 343
In order to get an average of 84 for the term, Gale needs to have a total of 84 * 5 = 420 points for the five tests. Since he already has 343 points from the first four tests, he needs to get 420 - 343 = 77 points on the next test. So, Gale needs to get a 77 on his next test to get a B for the term
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Complete question: gale's grade in science for the term is determined by the average of five test grades. his first four grades are 80, 95, 78, and 90. in order to get a b for the term, gale needs to have an average of 84. what grade must gale get on the next test to get a b for the term?
If a = 3 and c = 10, find the measure of angle B.
Round to the nearest tenth.
Answer:
∠B = 72.54°Step-by-step explanation:
angle B:
Cos(B) = adj/hypCos(B) = 3/10Cos⁻¹(0.30)∠B = 72.54°Answer: 72.5
Step-by-step explanation:
It’s not 72.54 because it’s not rounded to the nearest tenth when it’s rounded to the nearest tenth its 72.5 hope this helps :)
How many 1/2's are in 3 1/2? *
Answer:
Step-by-step explanation:
7
Answer:
7
Step-by-step explanation:
3.5 divided by .5
The altitude of white mountain peak in california is 14 , 246 ft. Denali in alaska is 20 , 320 ft. How much higher is denali than white mountain peak?
The altitude of Denali is 6074 ft higher than White Mountain Peak.
What is the altitude of a Mountain?The distance above sea level is known as altitude, just like elevation. If an area extends at least 2,400 meters (8,000 feet) into the atmosphere, it is frequently referred to as being "high-altitude." Mount Everest, located in the Himalayan mountain range between Nepal and Tibet in China, is the highest point on Earth.
To know the difference we will Subtract the Altitudes.
Therefore 20,320ft - 14, 246 ft = 6074 ft.
Therefore, the altitude of Denali is 6074 ft higher than White Mountain Peak.
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identify the angle relationship of each pair solve for x and find the measure of the angle indicated
The given angles are correspoding angles because they are at the same side of the transversal and one is interior to the parallels and the other one is exterior to the parallel.
By corresponding angles, we can deduct that these angles are congruent
\(17x+1=18x-6\)We solve for x
\(\begin{gathered} 1+6=18x-17x \\ x=7 \end{gathered}\)To find each angle, we use the x-value.
\(17x+1=17\cdot7+1=120\)Hence, each angles measures 120°.A scientist studying cell division finds that, under certain conditions, there are 10 times as many cells each hour as there were the hour before. If you list the number of cells each hour, what kind of sequence will you see?
The sequence of cell counts under the given conditions will follow an exponential growth pattern, with each hour's count being ten times the count from the previous hour.
If under certain conditions, the number of cells in a study of cell division increases by 10 times each hour, the sequence of cell counts will follow an exponential growth pattern. Exponential growth occurs when the quantity being measured multiplies by a constant factor at each step. In this case, the constant factor is 10.
The sequence of cell counts will exhibit a rapid increase over time. For example, if we start with an initial count of 1 cell, the counts for subsequent hours will be 1, 10, 100, 1000, 10,000, and so on. Each number is obtained by multiplying the previous count by 10.
This exponential growth can be represented mathematically using an exponential function of the form f(x) = \(a \times b^x\), where 'x' represents the number of hours and 'b' is the constant factor (in this case, 10). The initial count of 1 cell corresponds to f(0) = \(a \times b^0 = a \times 1 = a.\)
Thus, the general form of the function becomes f(x) = \(a \times 10^x.\)
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What is the simplified form of x+7/2 subtracted by x+4/2
The simplified form of subtraction is 3/2.
About subtractionThe simplified form of x+7/2 subtracted by x+4/2 is 3/2.
1. Start with the original expression: x+7/2 - (x+4/2)
2. Distribute the negative sign: x+7/2 - x - 4/2
3. Combine like terms: 7/2 - 4/2
4. Simplify by subtracting: 3/2
So the simplified form is 3/2.
Subtraction is an arithmetic operation tat represents the operation of removing an object from a collection. Subtraction is indicated by a minus sign, −. For example, in the image next to it, 5 − 2 peaches—meaning 5 peaches with 2 picked for a total of 3 peaches.
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Consider the statement: Subtract 28 from t and multiply the difference by 4.
Which expression represents the statement above?
A. 4(28*t)
B.t-28*4
C.28-t*4
D.4(t-28)
Answer:
D!
Step-by-step explanation:
We need to obviously subtract, only C and D do thatt. But, you don't multiple t or 28 by 4. You need to multiply the difference, so you need parentheses!
Can someone help me please
Answer:
0.19 50% 15/20 9/10 95%
Step-by-step explanation:
I know
3. Is the quotient of two rational numbers always a rational number?
Explain
Answer:
Yes , the quotient of two rational number always a rational number . Explanation : - If X and Y are integers means they are Rational number and when quotient is generated by division of previous two then the quotient must be rational as well .
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Point P is the incenter of HKM.
Find JP
Given:
Point P is the incenter of triangle HKM.
To find:
The measure of JP.
Solution:
In triangle MNP, using Pythagoras theorem, we get
\(Hypotenuse^2=base^2+Perpendicular^2\)
\((MP)^2=(MN)^2+(NP)^2\)
\((25)^2=(24)^2+(NP)^2\)
\(625=576+(NP)^2\)
\(625-576=(NP)^2\)
\(49=(NP)^2\)
Taking square root on both sides, we get
\(\pm \sqrt{49}=NP\)
\(\pm 7=NP\)
Side cannot be negative. So,
\(NP=7\)
Point P is the incenter of triangle HKM.
\(JP=NP\) [Incenter is equidistant from each side of triangle]
\(JP=7\)
Therefore, the value of JP is 7 units.
A circle has a central angle measuring StartFraction 7 pi Over 6 EndFraction radians that intersects an arc of length 18 cm. What is the length of the radius of the circle
The length of the radius of the circle is 4.9cm.
What is circle?A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point.
The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle has rotational symmetry around the center.
Calculation for the length of the radius of the circle-
In order to overcome this issue, we must first translate the angle from radians to degrees.
The central angle of circle is 7/6π rads = 210 degrees.
Length of the arc is 18 cm.
The formula of length of an arc is given as-
\(l_{a r c}=\frac{\theta}{360} * 2 \pi r\)
Let's change the values and find the solution.
\(\begin{aligned}&18=\frac{210}{360} * 2 \pi r \\&18=3.663 r \\&r=\frac{18}{3.663} \\&r=4.9 \mathrm{~cm}\end{aligned}\)
Therefore, the length of the radius of the circle is 4.9 cm.
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HELPPPPPPPPPPPPPPP MEEEEEEEEEEEEE
Answer:
About 4.5 units
Step-by-step explanation:
Please let me know if you want me to add an explanation
For example, imagine you take a bath one day a week and take a 10-minute shower on the other six days. A typical bath uses 40 gallons of water, while a typical 10-minute shower uses 10 gallons of water. If you were to stop taking baths for an entire year, how much water would you save
Given statement solution is :- By eliminating baths for a whole year and taking showers instead, you would save approximately 1,040 gallons of water.
To calculate the amount of water you would save by not taking baths for an entire year, we need to determine the total water usage for baths and showers separately.
Let's start by calculating the amount of water used for baths:
Number of baths per week = 1
Water used per bath = 40 gallons
Total water used for baths in a week = Number of baths per week × Water used per bath
= 1 bath/week × 40 gallons/bath
= 40 gallons/week
Now, let's calculate the amount of water used for showers:
Number of showers per week = 6 (since you take showers on the other six days)
Water used per shower = 10 gallons
Total water used for showers in a week = Number of showers per week × Water used per shower
= 6 showers/week × 10 gallons/shower
= 60 gallons/week
Next, we need to calculate the total water used for baths and showers in a year:
Total water used for baths in a year = Total water used for baths in a week × Number of weeks in a year
= 40 gallons/week × 52 weeks/year
= 2,080 gallons/year
Total water used for showers in a year = Total water used for showers in a week × Number of weeks in a year
= 60 gallons/week × 52 weeks/year
= 3,120 gallons/year
Finally, to determine the amount of water you would save by not taking baths for an entire year, subtract the total water used for baths in a year from the combined total water used for baths and showers in a year:
Water saved by not taking baths for a year = Total water used for baths and showers in a year - Total water used for baths in a year
= 3,120 gallons/year - 2,080 gallons/year
= 1,040 gallons/year
By eliminating baths for a whole year and taking showers instead, you would save approximately 1,040 gallons of water.
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2013 people live on an island. Some of these people are truthtellers and the others are liars. The truthtellers always tell the truth whereas the liars always lie. Each day one of the people says 'when i have left the island the number of truthtellers will be the same as the number of liars. Then he leaves the island. After 2013 days there is no longer anybody living on the island. How many liars were living there to begin with?
There were 671 liars living on the island initially out of 2013 people living on the island.
Let's assume the number of truthtellers is x and the number of liars is y.
According to the given information, each day one person says that when they leave the island, the number of truthtellers will be equal to the number of liars.
This implies that the person speaking must be a liar.
On the first day, if the person speaking is a liar, then the number of liars on the island will increase by one (y+1) and the number of truthtellers will remain the same (x).
The equation can be written as:
x = y + 1
On the second day, if the second person speaking is also a liar, the number of liars will increase by one again (y+2) and the number of truthtellers will remain the same (x).
The equation becomes:
x = y + 2
We can generalize this pattern for each day:
x = y + k
After 2013 days, there is no one left on the island, so x + y = 0.
Substituting this into the equation, we get:
(y + k) + y = 0
Simplifying, we find:
2y + k = 0
Since y represents the number of liars, we want to find a value of y that satisfies this equation.
To do that, we need to find a value of k such that 2013 + k is divisible by 2.
By observing that 2013 is odd, we can conclude that k must be an odd number.
The smallest odd number that satisfies this condition is k = 1.
Substituting k = 1 into the equation, we get:
2y + 1 = 0
Solving for y, we find:
y = -1/2
However, the number of liars cannot be negative, so we can disregard this solution.
Therefore, there were 671 liars living on the island initially.
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help pls ill mark brainlist and follow u
Answer:
area of the shaded figure
\( \frac{1}{2} \times 3 \times 10 \\ 15 \: {cm}^{2} \)
Answer:
if you have to find area
Step-by-step explanation:
area=1/2*3*10
=15cm²
Three equidistant dots on each of two parallel lines are joined in all possible ways, how many triangles can be formed ?
Answer:
only one triangle can be formed ...
Solve each proportion.
1) 4/7 =2/n
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\( \frac{4}{7} = \frac{2}{n} \\ \)
Inverse both sides
\( \frac{7}{4} = \frac{n}{2} \\ \)
\( \frac{n}{2} = \frac{7}{4} \\ \)
Multiply sides by 2
\(2 \times \frac{n}{2} = 2 \times \frac{7}{4} \\ \)
\(n = \frac{7}{2} \\ \)
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Similar to 3.4.2 in Rogawski Adams Find the ROC of the volume of a cube with respect to the length of its side s when 8 = 3 d/ds (volume)|s=3 = _____ cubic units per unit increase of side length.
The ROC of the volume of a cube with respect to the length of its side is s > 0. The given rate of change of volume with respect to side length does not affect the calculation of ROC.
The volume of cube is given by V = s^3, where s is the length of its side.
Taking the derivative of V with respect to s, we get:
dV/ds = 3s^2
The rate of change of volume with respect to the length of the side s is given as:
dV/ds = 8
Substituting the value of dV/ds and solving for s, we get:
8 = 3s^2
s^2 = 8/3
s = ±√(8/3)
Since the length of side of a cube cannot be negative, we take the positive root:
s = √(8/3)
The radius of convergence (ROC) of the volume is s > 0, which means the series expansion of the volume of the cube in terms of the length of its side converges for values of s greater than zero.
Therefore, the ROC is s > 0.
The rate of change of volume does not affect the change in the calculation of ROC.
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he cardinality of a finite set is the number of elements in the set. What is the cardinality of set A
The cardinality of the set A is 4
How to determine the cardinality of set AFrom the question, we have the following parameters that can be used in our computation:
A = {2, 4, 6, 8}
In the above, we can see that
There are 4 elements in the set
By the definition of cardinality, we have the cardinality of set A to be 4
Hence, the cardinality of set A is 4
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Question
The cardinality of a finite set is the number of elements in the set. What is the cardinality of set A
A = {2, 4, 6, 8}
John and Mary had Php 384 altogether. After John gave Php 36 to Mary, Mary had 3 times as much money as John. How much money did Mary had at first?
John initially had Php 132 and Mary initially had Php 252 (384 - 132).
Let's start by setting up the equations to solve for this problem.
Let x be the amount of money John had initially.
Then, Mary had (384 - x) initially.
After John gave Php 36 to Mary, John had (x - 36) left and Mary had (384 - x + 36) = (420 - x).
We are told that Mary had three times as much money as John after this transaction, so we can write:
3(x - 36) = 420 - x
Simplifying this equation gives:
3x - 108 = 420 - x
4x = 528
x = 132
Therefore, John initially had Php 132 and Mary initially had Php 252 (384 - 132).
Answer: Mary had Php 252 at first.
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help i need a good grade
Answer:
7.141
.133
9.902
Step-by-step explanation:
give me brainliest please! :) also, hope it helps have a great day
Awad claims that when m is a negative integer and n is a positive integer, n - m is
always negative. Is Awad's claim true or false? Explain your reasoning. If it is true,
give an example to support his claim. If it is false, give a counterexample. Explain
your reasoning.
Using the concept of integer it can be concluded that Awad's claim is false.
What is an integer ?Integer, a positive, negative, or 0 with a complete value. The counting numbers 1, 2, 3, and so forth are used to create the integers, together with the subtraction process. A counting number can be divided by itself and the result is always zero; for instance, 4 divided by 4 equals 0. The result of subtracting a larger number from a smaller one is a negative whole number; for instance, 2 - 3 = 1. By deriving each integer in this way from the counting numbers, a set of numbers that can be closed with the subtraction operation is produced.
You can have positive or negative numbers. Negative numbers are frequently surrounded by brackets to make them simpler to read, for example (-2). Positive numbers typically don't have the + before the number. 3 is actually +3. Positive and negative number combinations can be confusing to add and multiply, thus caution is advised.
Subtraction and Addition
Two "pluses" equal a "plus," and two "minuses" equal a "plus." A negative is made up of a plus and a minus.
Whenever you subtract a negative number, you always end up adding because two negatives make a positive. For example,
n = 4
m = -3
then,
4-(-3) is going to turn into 4+3 = 7.
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Triangle A'B'C' is the image of triangle ABC.
an urn contains 5 white balls, 3 black balls, and 2 red balls. three balls are drawn at random from this urn. find the probability that two balls are white and the other is red.
To solve this problem, we can use the formula for probability
P(event) = Number of favorable outcomes / Total number of possible outcomes. So the probability of drawing two white balls and one red ball from the urn is 1/6 or about 16.67%
First, let's find the total number of possible outcomes. We are drawing three balls from the urn, so there are 10 balls in total. The number of ways we can choose 3 balls out of 10 is:
10 choose 3 = 10! / (3! * 7!) = 120
Now, let's find the number of favorable outcomes, i.e. the number of ways we can choose two white balls and one red ball. There are 5 white balls and 2 red balls in the urn, so the number of ways we can choose 2 white balls out of 5 and 1 red ball out of 2 is:
5 choose 2 * 2 choose 1 = 10 * 2 = 20
Therefore, the probability of drawing two white balls and one red ball is:
P(2 white, 1 red) = 20 / 120 = 1/6
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Please answer immediately
Answer:
Lynn is correct because 5/2 is greater than 1.
Two altitudes of a triangle have lengths $12$ and $15$. What is the longest possible integer length of the third altitude
To determine the longest possible integer length of the third altitude in a triangle, we can use the fact that the longest altitude is opposite the longest side.
Let's assume the two given altitudes of the triangle have lengths 12 and 15. We want to find the longest possible integer length for the third altitude.
Since the longest altitude is opposite the longest side, the third altitude will be opposite the side that is longer between the sides corresponding to the given altitudes.
Therefore, we need to determine the longest possible length for the third side of the triangle. To do this, we can apply the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Using the triangle inequality theorem, we have two cases:
Case 1: 12 + 15 > third side
Case 2: 12 + third side > 15
From Case 2, we can deduce that the third side must be greater than 3.
Considering both cases, the longest possible integer length for the third altitude is 4.
Therefore, the longest possible integer length of the third altitude is 4 units.
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Let A={(x-3)/(x-2)ЄR : X<0}
be a subset of real numbers.
i) Define A's supremum and infimum.
The supremum of the set A does not exist (it is negative infinity), and the infimum of the set A is 1.
To define the supremum and infimum of the set A, we first need to determine the properties of the set.
The set A is defined as A = {(x-3)/(x-2) ∈ R : x < 0}.
To find the supremum (also known as the least upper bound) of A, we need to find the smallest value that is greater than or equal to all the elements of A. In other words, we are looking for the least upper bound of the set A.
Let's analyze the elements of A:
For x < 0, the expression (x-3)/(x-2) can take on different values depending on the value of x. We need to find the maximum value that this expression can reach for all x < 0.
As x approaches 0 from the left side, (x-3)/(x-2) approaches negative infinity. Therefore, there is no finite supremum for the set A.
Next, let's find the infimum (also known as the greatest lower bound) of A. We need to find the largest value that is less than or equal to all the elements of A. In other words, we are looking for the greatest lower bound of the set A.
Again, analyzing the elements of A:
As x approaches negative infinity, (x-3)/(x-2) approaches 1. Therefore, the infimum of the set A is 1.
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pls help with math question !
thank you !!
Answer:
42 degrees
Step-by-step explanation:
All the interior angles in a triangle add up to 180 degrees. Knowing this, we can construct the following equation:
\(180=84+54+a\\180=138+a\)
Subtract both sides by 138
\(180-138=138+a-138\\42=a\)
I hope this helps!