y = ([tex]\frac{3}{2}[/tex])x -2 is the equation of the required line
Step-by-step explanation:
Step 1 :
Equation of the given line is 3x-2y=14
Re writing this in the form y = mx + c , we have
-2y = -3x +14
y = ([tex]\frac{3}{2}[/tex])x - 7
The co efficient of x , m is the slope of the line. So for the given line the slope is [tex]\frac{3}{2}[/tex]
Step 2 :
We have to find equation of a line which is parallel to this line. All parallel lines will have the same slope. Hence the required line has a slope of [tex]\frac{3}{2}[/tex].
Step 3 :
Equation of line with slope m and passing through a point ([tex]x_{1} ,y_{1}[/tex]) is
(y-[tex]y_{1}[/tex]) = m((x-[tex]x_{1}[/tex])
So equation of line passing through (-6,-11) and with a slope of [tex]\frac{3}{2}[/tex] is
(y-(-11)) = [tex]\frac{3}{2}[/tex] ( x - (-6))
y + 11 = [tex]\frac{3}{2}[/tex] ( x + 6)
y = ([tex]\frac{3}{2}[/tex])x + 9 - 11
y = ([tex]\frac{3}{2}[/tex])x -2
Step 4 :
Answer :
y = ([tex]\frac{3}{2}[/tex])x -2 is the required equation
The given equation has the slope 3/2 after converting to the slope-intercept form. Because parallel lines share the same slope, the equation for the line parallel to the given line, passing through the point (-6,-11), is found to be y = (3/2)x - 9 using the point-slope form.
Explanation:To find an equation that is parallel to a given equation, we must first find the slope of the given line. The equation provided is in the form Ax + By = C. To convert this into slope-intercept form (y = mx + b), where m is the slope, we rearrange the equation to get y = (3/2)x - 7. Therefore, the slope of the given line is 3/2.
Parallel lines share the same slope, the equation of the line parallel to the given one that passes through point (-6,-11) will also have the slope 3/2. We stick this and our point into the point-slope form of a line (y - y1 = m(x - x1)) to get: y + 11 = 3/2(x + 6). Simplifying, we get y = (3/2)x - 9 which is the equation of the line parallel to the given equation that passes through the point (-6,-11).
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How many kilograms are there in 375 grams?
Answer:
.375
Step-by-step explanation:
Find the value of X. Write your answer as a decimal.
Answer:
68.5
Step-by-step explanation:
Angles DEC and DAC are right angles, so their sum is 180°. DECA is a quadrilateral, which has a sum of interior angles equal to 360°. Then angle ACE is the supplement of angle D:
∠ACE = 180° -43° = 137°
Inscribed angle ABE has half the measure of central angle ACE, so we have ...
x° = 137°/2
x = 68.5
What is the answer for -3 -4m = -7(-4m+4)-7m
1. Expand
- 3 - 4m = 28m - 28 - 7m
2. Simplify 28m - 28 - 7m to 21m - 28
- 3 - 4m = 21m - 28
3. Add 4m to both sides
- 3 = 21m - 28 + 4m
4. Simplify 21m - 28 + 4m to 25m - 28
-3 = 25m - 28
5. Add 28 to both sides
- 3 + 28 = 25m
6. Simplify - 3 + 28 to 25
25 = 25m
7. Divide both sides by 25
1 = m
8. Switch sides
m = 1
Jake eats 1/4 of a. box of cereal in 1/8 of a month. How many boxes will Jake eat in a month?
Jake can eat 2 boxes of cereal in a month as per the given conditions.
What is the rate of change?Rate of change is defined as the change in value with rest to the time is called rate of change.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
Jake eats 1/4 of a. box of cereal in 1/8 of a month.
The number of boxes of cereal jake can eat in a month is given as,
= 1/4 / [1 / 8]
= 8 / 4
= 2 cereal boxes
Thus, jake can eat 2 boxes if cereal in a month as per the given conditions.
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What is the value ofx? 4 or 6? 2/3x = 4
1. Simplify 2/3x to 2x/3
2x/3 = 4
2. Multiply both sides by 3
2x = 4 * 3
3. Simplify 4 * 3 to 12
2x = 12
4. Divide both sides by 2
x = 12/2
5. Simplify 12/2 to 6
x = 6
The cone in the diagram has the same height and base area as the prism. What is the ratio of the volume of the cone to the volume oft
prism?
h
base area = B
base area =B
Answer:
[tex]ratio=\frac{1}{3}[/tex]
Step-by-step explanation:
step 1
Find the volume of the cone
The volume of the cone is equal to
[tex]V_c=\frac{1}{3}Bh[/tex]
where
B is the area of the circular base
h is the height of the cone
step 2
Find the volume of the prism
The volume of the cone is equal to
[tex]V_p=Bh[/tex]
where
B is the area of the base of the prism
h is the height of the prism
step 3
Find the ratio of the volume of the cone to the volume oft the prism
[tex]ratio=\frac{V_c}{V_p}[/tex]
substitute the values
[tex]ratio=\frac{\frac{1}{3}Bh}{Bh}[/tex]
simplify
[tex]ratio=\frac{1}{3}[/tex]
Answer:
It's option B on plato
Step-by-step explanation:
Green, Red, Yellow, Yellow, Blue, Blue, Purple /the spinner
P(red) P(green) P(blue or red) P(yellow or blue) P'(green) P'(purple)
I hope this makes cense
Topic: Simple Probability
Answer:
green:14.28
red: 14.28
yellow: 28.56
blue: 28.56
purple:14.28
good luck! sorry if this isnt the right answer, i tried!!!
Step-by-step explanation:
I need help ASAP PLEASEE
Answer:
Step-by-step explanation:
Figure out what each fraction is equivalent their decimal. Then you plot it based on the decimal
2 7/8 is 2.9 so you go past the 2 and go 9 points and plot it
1 1/4 is 1.3 so you go past the 1 and plot 3 points further
Answer:
2.875 and 1.25
Step-by-step explanation:
2 7/8= 2.875
1 1/4= 1.25
HELP!!
1. Which example below represents exponential growth?
a. The cost of a meal if each slice is $2.
b. Radioactive decay of materials.
c. The value of a car over time.
d. rapid spread of a disease.
2. which example below represents exponential decay?
a. The balance on your city bus pass if you ride the bus twice a day every day.
b. The number of smart phone users in the last five years.
c. Number of cancer cells over time with treatment.
d. rapid spread of disease.
3. Which table is an example of exponential growth? (SEE PICTURE)
a. fun island
b. Great island
c. mystery island
4. How can you determine if a table is a linear function or an exponential function?
1.
Answer: D) rapid spread of diseaseChoice A is not exponential growth or decay because the cost will go up by the same amount ($2) each time. Choices B and C are exponential, but they aren't growth functions. Rather, they are decay functions. A disease spreads exponentially because one person infects two, and then each of those two people infect two others (making 4 additional people infected), and so on.
===============================
2.
Answer: C) number of cancer cells over time with treatmentAssuming the treatment works and it is effective, then the cancer cells will go away over time. One example would be that the population is cut in half each time. Choice A is not an answer because the balance will go down the same amount each time. This is assuming the bus company does not change its prices. Choices B and D are eliminated because they represent growth.
================================
3.
I'm unable to answer this because the table is missing.
================================
4.
If the y values increase or decrease by the same amount, as x increases by some set amount, then you have a linear function. For example, if x increases by 1 pairs up with y increasing by 4, then the slope is 4/1 = 4 and we have a linear function.
--------
On the other hand, if x increases by 1 couples with the y values multiplying by some set amount, then you have an exponential function.
Example:
(x,y) = (1,2)(x,y) = (2,10)(x,y) = (3,50)Each time x increases by 1, y is multiplied by 5.
111 = 14a This part is for the extra characters
The value of a = 7.93 or left as the fraction 111/14.
The question asks us to solve an algebraic equation for a single variable, specifically, solving 111 = 14a. This involves isolating the variable on one side of the equation to find its value. To do this, we divide both sides of the equation by 14, the coefficient of a.
Dividing both sides by 14, we get a = 111 / 14.
Thus, a = 7.928571429. However, for simplicity, we could round this to a = 7.93 or left as 111/14.
The following table shows the number of goals that the Texas Sharpshooters scored in each of their
8
88 hockey games this season.
Based on this data, what is a reasonable estimate of the probability that the Texas Sharpshooters score exactly
1
11 goal next hockey game?
Question
The following table shows the number of goals that the Texas Sharpshooters scored in each of their 8 hockey games this season.
Based on this data, what is a reasonable estimate of the probability that the Texas Sharpshooters score exactly 1 goal next hockey game?
3, 4, 1, 4, 1, 1, 2, 1
Answer:
The probability that the Texas Sharpshooters score exactly 1 goal next hockey game is 0.5
Step-by-step explanation:
The topic in question is Experimental probability;
Experimental probabilities deal with the probability of an event happening based on past experiments.
Given
Number of observation, n = 8
To calculate an estimate of the probability that the Texas Sharpshooters score exactly 1 goal next hockey game, we need to count the total occurrence of 1 in the given data
Let p = total occurrence of 1
p = 4
The probability is then calculated as [tex]\frac{p}{n}[/tex]
by substitution;
Probability = [tex]\frac{4}{8}[/tex]
Probability = 0.5
Hence, The probability that the Texas Sharpshooters score exactly 1 goal next hockey game is 0.5
Which property is demonstrated in the equation (4×7)×10 = 4×(7×10)
A associative
B symmetric
C commutative
D distributive
Answer:
A: Associative
Step-by-step explanation:
:
Joe will go to the swimming pool on 20 different days this month.
• A one-day pass to the pool is $2.25.
• A monthly pass to the pool is $30.00.
How much money will Joe save by buying a monthly pass?
Answer:
He will save $15.00
Step-by-step explanation:
You multiply $2.25 by 20 days and that is equal to 45
So $45.00 - $30.00 that would be $15.00
If Joe buys a one-day pass for each of the 20 days he goes to the swimming pool this month, it will cost him $45.00. However, if he buys a monthly pass for $30.00, he will spend less money. Joe can save $15.00 by buying a monthly pass instead of a one-day pass each day.
Explanation:The subject of this question is mathematics as it involves arithmetic calculations to compare the cost of two possible options.
If Joe goes to the swimming pool 20 different days this month and buys a one-day pass for $2.25 every day, it would cost him 20 * $2.25 which equals to $45.00.
However, if Joe buys the monthly pass for $30.00, he would spend less money compared to buying a one-day pass every day. To find out how much Joe will save by buying the monthly pass, subtract the cost of the monthly pass from the total cost of buying one-day passes for 20 days. Therefore, $45.00 - $30.00 equals to $15.00.
So, Joe will save $15.00 by buying the monthly pass instead of a one-day pass each day he goes to the swimming pool.
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A semi-circle with a diameter of 4 is rotated around its diameter one full rotation, what is the volume of the solid generated by the revolution?
The volume of the solid generated by the revolution is 33.5 cubic units.
Step-by-step explanation:
It is given that, the diameter of the semi-circle is 4 and it is rotated to one full rotation around its diameter.
A solid generated when a semicircle is being rotated about its diameter is called a "SPHERE".
Therefore, the volume of the solid generated by the revolution is the volume of the sphere.
The formula for volume of the sphere is given by,
Volume of sphere = (4/3)πr³
where, r is the radius and π has the default value of 3.14
Here, the given diameter is 4.
To find the radius = diameter/2
radius = 4/2 = 2.
Now, to calculate volume of sphere substitute r=2 and π=3.14
volume of the sphere = (4/3)×3.14×2³
⇒ (4/3)×3.14×8
⇒ 100.48 / 3
⇒ 33.49 (approximately 33.5)
Therefore, the volume of the solid generated by the revolution is 33.5 cubic units.
13. Your business needs to ship a package to another store. Company A charges $2.50 per pound plus a
$20 service charge. Company B charges $4.50 per pound without any service charge.
a. At what weight does it cost the same for both companies?
Solution:
Let "x" be the pounds
Company A charges $2.50 per pound plus a $20 service charge
Cost : 2.50x + 20 ------ eqn 1
Company B charges $4.50 per pound without any service charge
Cost : 4.50x ------- eqn 2
At what weight does it cost the same for both companies?
For both companies to cost the same, eqn 1 must be equal to eqn 2
2.50x + 20 = 4.50x
4.50x - 2.50x = 20
2x = 20
Divide both sides by 2
x = 10
Thus for 10 pounds, both companies cost the same
Which shows a difference of squares?
10y^2−4x^2
16y^4−x^2
8x^2−40x+25
64x^2−48x+9
A difference of squares must be a binomial, so we want two terms. This rules out the third and fourth options.
If we look at the first two, we must check that both terms are perfect squares.
Look at the first one: [tex]4x^2[/tex] is a perfect square (it's [tex](2x)^2[/tex]), but [tex]10y^2[/tex] is not a perfect square, because 10 is not a perfect square.
On the other hand, if we look at the second option, [tex]16y^4[/tex] is the square of [tex]4y^2[/tex], and [tex]x^2[/tex] is clearly the square of [tex]x[/tex]. So, this is the difference of two squares.
I need the answers for #3 and #4
Answer:
See below
Step-by-step explanation:
3) Radius of shaded circle=1.5 units
Area of shaded circle=pi*1.5^2=2.25*pi=7.0686
Area of big circle=pi*5^2=25pi=78.54
Divide the two together: 7.0686/78.54=0.09 so exactly 9% is the probability
4) Area of whole rectangle: 8*5=40
Area of unshaded region: (2*3)+(2*2)/2=6+4/2=6+2=8
40/8=5, so there's a 5 to 1 chance.
What is this 1/2x1.5+11
Answer:
For my calculation I got 11.75. Hope this helps can I please get brainliest thanks.
Answer:
11.75
Step-by-step explanation:
The multiplication must be done before the addition:
1/2x1.5+11 => (1/2)(1.5) + 11, or
0.75 + 11 = 11.75
Val has 2 hours to finish a slide presentation it takes her 1/6 hours to create each slide will Val have enough time to create 10 slides? explain your reasoning. ( someone please answer my question I put literally all my points in PLEASE!)
Answer:
No because it will take her 3 1/3 hours to finish it
Step-by-step explanation:
So first you would do 1/6x2
That will equal 1/3
Then you will do 1/3x10
which will equal 10/3
Then you change it to a mixed number and that will get you 3 1/3
Answer:
no
Step-by-step explanation:
If the circumference of a circle is 21.98cm, how much is the area?
Answer:
The area of the circle is 248.035 cm.
Step-by-step explanation:
You can use an online calculator to help you next time if you still get these questions.
If 8 people can eat 6 bags of chips, how many will it take to eat 15 bags
Answer:
20 people
Step-by-step explanation:
the ratio is 8:6 so x:15 you need to find x.
8:6 can be simplified to 4:3 muliplied by 5 on both sides is;
20:15
The number of people that take to eat 15 bags will be 20.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
Let x be the number of people that take to eat 15 bags.
If 8 people can eat 6 bags of chips. Then the ratio of people and number of chips in the bag will be given as,
x / 15 = 8 / 6
x = 20
Thus, the number of people that take to eat 15 bags will be 20.
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KNOWLEDGE CHECK: ALEKS
a and b: decreasing
b and c: constant
c and d: decreasing
d and e: increasing
Answer:
a and b: decreasing
b and c: constant
c and d: decreasing
d and e: increasing
Step-by-step explanation:
the test scores for 10 students were 61,67,81,83,87,88,89,90,98, and 100. which frequency table represents this data set?
Answer:
below only shows up once
Step-by-step explanation:
mark: tally: frequency:
61 I I
67 I I
81 I I
83 I I
87 I I
88 I I
89 I I
90 I I
98 I I
100 I I
What is the missing number in the table?
252
395
854
1.2006
Answer:
1296
Step-by-step explanation:
Note there is a common ratio between consecutive terms of y, that is
36 ÷ 6 = 216 ÷ 36 = 6
Thus to find a term, multiply the previous term by 6
216 × 6 = 1296
Kara rolled a number cube 10 times. The results of her rolls are shown
below.
1, 3, 3, 4, 6, 2, 2, 5, 3, 4
Based on Kara's results, what is the probability that her next roll
is either a 3 or 6?
Final answer:
The probability that Kara's next roll is either a 3 or a 6 is 1/3.
Explanation:
The question asks about the probability of rolling either a 3 or a 6 on a six-sided die based on previous rolls. The previous rolls are as follows: 1, 3, 3, 4, 6, 2, 2, 5, 3, 4. It is important to understand that each roll of a die is an independent event, meaning the outcome of one roll does not affect the outcomes of any other rolls.
Therefore, the results of Kara's previous rolls do not impact the probability of future rolls.
To determine the probability of rolling either a 3 or a 6, we consider that a six-sided die has six equally likely outcomes.
The probability of rolling a specific number, like a 3 or a 6, is therefore 1/6.
Since these are two separate outcomes, we add their individual probabilities to determine the probability of rolling either a 3 or a 6:
Probability of rolling a 3 = 1/6
Probability of rolling a 6 = 1/6
Total probability of either a 3 or 6 = 1/6 + 1/6 = 2/6 or 1/3.
Thus, the probability that Kara's next roll is either a 3 or a 6 is 1/3.
The powers of 2 that are in the range 2 through 1,000 are 2, 4, 8, 16, 32, 64, 128, 256, and 512. Find all the powers of 3 that are in the range 3 through 1,000.
Final answer:
The powers of 3 that fall within the range of 3 through 1,000 are 3, 9, 27, 81, 243, and 729.
Explanation:
To find all the powers of 3 that are in the range 3 through 1,000, we need to calculate successive powers of 3 until the result exceeds 1,000. These calculations give us 31=3, 32=9, 33=27, 34=81, 35=243, 36=729, and 37=2187. However, since 2187 is greater than 1,000, we exclude it from our list. Therefore, the powers of 3 that fall within the specified range are 3, 9, 27, 81, 243, and 729.
Solve the following equation 3+3x+9(9x)
I believe that the answer is 3+84x is this question wants you to simplify the expression.
Answer:
84x + 3
Step-by-step explanation:
3+3x+9(9x)
First 9 times 9x, which equals 81x
Then add the variables, so 3x + 81x and you get 84x
The equation is left as 84x + 3 because you can't add together a number with a variable and a number without a variable
Using the following diagram, tick the correct angles which are congruent to the angles given in the first column. (first answer most brainliest.)
Angle 1 is congruent to angles 3, 5, and 7. We know this because vertical angles are congruent (angle 3), as are corresponding angles (angle 5) and alternate exterior angles (angle 7).
Angle 3 is congruent to angles 1, 5, and 7. We know this because vertical angles are congruent (angle 1), as are corresponding angles (angle 7) and alternate interior angles (angle 5).
Angle 4 is congruent to angles 2, 6, and 8. We know this because vertical angles are congruent (angle 2), as are corresponding angles (angle 8) and alternate interior angles (angle 6).
Angle comparison requires measuring each angle with a protractor. Angles are congruent if their measurements are equal. This concept is used in geometry and other fields like physics.
Explanation:Your question involves identifying and comparing angles, which is a topic in geometry, a branch of mathematics. When determining congruent angles, you need to look at the measure of the angles. Two angles are congruent if they have the exact same measure.
In the problem you provided, to find the congruent pairs, you would have to measure each angle provided with a protractor. If the measure of the angles is equal, then those angles are congruent.
Remember that in a right triangle, the angles are 90 degrees, 45 degrees and 45 degrees. The angles of a straight line sum up to 180 degrees. These are valuable skills which you can use to aspects of physics, specifically when dealing with vectors as you mentioned tail-to-head addition of vectors and the angles between them.
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40 points at the game . Darnell scored 15%
Answer:
6
Step-by-step explanation:
40*15%=6
Help me find the missing angles
Answer:
b) 105°
d) 130°
Step-by-step explanation:
An external angle has the same measure as the sum of the remote internal angles.
b) ? = 25° +80° = 105°
d) ? = 35° +95° = 130°
_____
This should be fairly obvious if you consider that the adjacent internal angle together with the external angle totals 180°, and the adjacent internal angle together with the other two internal angles totals 180°.
If the two "remote" angles are A and B, and the adjacent internal angle is C, then we have in symbols ...
A + B + C = 180° = ? + C
If we subtract C, then we find ...
A + B = ? . . . . . . the fact we used above