The option representing the solution of the inequality is given as follows:
D) There are no solutions.
How to solve the inequality?The inequality for this problem is defined as follows:
-6x + 14 < -28 and 3x + 28 < 25.
The and operation means that we must solve each inequality, and then obtain the intersection of the two solutions.
The solution to the first inequality is given as follows:
-6x + 14 < -28
6x - 14 > 28
6x > 42
x > 7.
The solution to the second inequality is given as follows:
3x + 28 < 25.
3x < -3
x < -1.
There is no intersection between x > 7 and x < -1, hence the system has no solutions.
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How do you prove the isosceles triangle theorem?
To prove the isosceles triangle theorem, you must use the fact that the base angles of an equilateral triangle have equal measure, and then use the properties of isosceles triangles to show that the two angles opposite the equal sides are also equal.
To prove the isosceles triangle theorem, we can follow these steps:
Step 1: Draw an isosceles triangle with sides AB and AC of equal length.
Step 2: Draw a line from point A to point D, perpendicular to line BC.
Step 3: Use the definition of an isosceles triangle to state that ∠ABD and ∠ACD are congruent.
Step 4: Use the definition of a perpendicular line to state that ∠ADB and ∠ADC are congruent.
Step 5: Use the definition of a triangle to state that ∠BAC and ∠BAC are congruent.
Step 6: Use the Congruent Triangles Postulate to state that triangle ABD and triangle ACD are congruent.
Step 7: Use the definition of congruent triangles to state that ∠ABC and ∠ACB are congruent.
Step 8: Use the definition of an isosceles triangle to conclude that the isosceles triangle theorem is true.
Therefore, we have proven the isosceles triangle theorem, which states that the base angles of an isosceles triangle are congruent.
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simplify 3a(6a^2-4ab^2)+8a^2b^2-2b^3
help? please and thank you
The simplified expression for this problem is given as follows:
18a³ - 4a²b² - 2b³.
How to simplify the expression?The expression for this problem is defined as follows:
3a(6a² - 4ab²) + 8a²b² - 2b³.
Applying the distributive property to the term 3a(6a² - 4ab²) , we have that:
3a(6a² - 4ab²) = 18a³ - 12a²b².
Hence the expression can be written as follows:
18a³ - 12a²b² + 8a²b² - 2b³.
-12a²b² + 8a²b² are like terms, hence:
-12a²b² + 8a²b² = -4a²b².
Meaning that the simplified expression is given as follows:
18a³ - 4a²b² - 2b³.
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1. Which is common to the formation of all fossil fuels? (1 point) Responses
A. Fossils are converted into carbon-rich fuels.
B. Sedimentary rock is converted into carbon-rich fuels.
C. Once-living organisms are converted into carbon-rich fuels
D. Swampy forest plants are converted into carbon-rich fuels.
2. How does deforestation increase the warming of Earth?
A. It decreases the production of ozone in the atmosphere.
B. It releases more oxygen into the atmosphere.
C. It increases the presence of methane in the atmosphere.
D. It decreases the removal of carbon dioxide from the atmosphere.
3. Drag each item to the correct location to indicate whether it is a greenhouse gas or a non-greenhouse gas. (1 point)
Greenhouse Gas or Non-Greenhouse Gas
Methane
Nitrogen
Carbon dioxide
Nitrous oxide
Ozone
Oxygen
The Option that is common to the formation of all fossil fuels is: fossils are converted into carbon-rich fuels. The Option A is correct.
What is the formation of fossil fuels?Fossil fuels are gotten from the decomposition of plants and animals. These fuels, which can be found in the Earth's crust and contain carbon and hydrogen, can be burned for energy. Fossil fuels include coal, oil, and natural gas.
Coal is a material that is typically found in sedimentary rock deposits where layers of rock and dead plant and animal matter are piled up. More than half of the weight of a piece of coal must come from fossilized plants. Oil was discovered as a solid material between layers of sedimentary rock, such as shale.
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Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options. x2 + (y – 3)2 = 36 x2 + (y – 5)2 = 6 (x – 4)² + y² = 36 (x + 6)² + y² = 144 x2 + (y + 8)2 = 36
x^2 + (y – 3)^2 = 36
Step-by-step explanation:
The standard equation of a circle with center at (h, k) and radius r is
(x - h)^2 + (y - k)^2 = r^2.
If the center lies on the y-axis, then h = 0: (x - 0)^2 + (y - k)^2 = r^2
If the circle diameter is 12, then the circle radius is 6, and so r^2 = 36
So, among the given equations, your
x^2 + (y – 3)^2 = 36 is correct (but only if you use " ^ " for exponentiation).
a pair of shoes had an original price of 80$ the shoes are now on sale for 35% off what is the sale price of the shoes.
SHOW WORK
Answer:
The sale price of the shoes is $52.
Step-by-step explanation:
100-35=65
x = 65
80 = 100
x=65*80/100
x=52
Have a good day :)
factor the expression xy^2+y
Answer:
Step-by-step explanation:
y(xy+1)
Answer:
xy^2+y = y(xy + 1)
Step-by-step explanation:
solve using substitution
y=60+2.5x and y=7.5x
Answer:[tex]x=12[/tex]
Step-by-step explanation:
Write the other side of this equation so it has NO solution.
6x - 5 =
Answer:
6x-5= 7.62345791436
Step-by-step explanation:
How do you convert raw score to LSAT?
Answer: The conversion of a raw score to a scaled LSAT score is a complex process that involves several steps. The Law School Admission Test (LSAT) is a standardized test used by law schools in the United States and Canada to assess applicants' critical thinking, reading comprehension, and analytical reasoning skills.
Here's a general overview of the process of converting a raw score to a scaled LSAT score:
- Raw score calculation: The raw score is the number of questions answered correctly on the LSAT. There is no penalty for incorrect answers, so it is in your best interest to answer every question, even if you are unsure of the correct answer.
- Equating: The LSAT is equated to account for differences in difficulty between test forms. This means that the raw scores of test-takers are adjusted so that the scaled scores are consistent across different test forms.
- Scaling: The raw scores are then scaled to a range of 120 to 180, with a median score of 150 and a standard deviation of 10. This scaling process allows for meaningful comparisons between test-takers, regardless of the difficulty of the specific test form they took.
It is important to note that the LSAT score is not based solely on the number of questions answered correctly, but also on the difficulty of the questions. This means that a high raw score on a particularly difficult test form may result in a lower scaled score than a lower raw score on a less difficult test form.
Step-by-step explanation:
2. Does the graph below show a proportional relationship? Why or why not? ight line?
The graph will show a proportional relationship if it is a linear function with an intercept of zero.
What is a proportional relationship?A proportional relationship is defined as follows:
y = kx.
In which k is the constant of proportionality.
Hence from the definition the features of the graph of a proportional relationship are given as follows:
Linear function with constant slope.Intercept of zero, as when x = 0, y = 0, hence the graph crosses or touches the y-axis at y = 0.Missing InformationThe problem is incomplete, hence the procedure to verify if the graph is a proportional relationship is presented.
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This one dont make sense
Answer: x=6
Step-by-step explanation:
90-75=15
15-3=12
12/2=6
the little box means 90 degree angle
Answer:
x = 6
Step-by-step explanation:
Complementary angles:
If sum of two angles add up to 90°, they are called complementary angles.
75 + 2x +3 = 90
2x + 78 = 90
Subtract 78 from both sides,
2x = 90 - 78
2x = 12
Divide both sides by 2
x = 12÷2
x = 6°
2x + 3 = 2*6 + 3
= 12 + 3
= 15°
If x is a continuous random variable then P(x≥A)=
A. P(X
B. 1-P(X>A)
C. P(X>A)
D. 1-P(X
If x is a continuous random variable then P(x≥A) = P(X>A). So, the correct option is C, i.e., P(X>A).
For a continuous random variable, the probability of X taking any specific value is zero, since there are infinitely many possible values that X could take. Instead, we calculate the probability that X falls within a certain range of values.
To find the probability that X is greater than or equal to A, we can use the cumulative distribution function (CDF) of X, denoted as F(X). The CDF F(X) gives the probability that X is less than or equal to a certain value x, i.e., F(X) = P(X ≤ x).
Now, since the event X ≥ A is the complement of the event X < A, we can use the complement rule to write:
P(X ≥ A) = 1 - P(X < A)
Using the definition of CDF, we get:
P(X ≥ A) = 1 - F(A)
Therefore, the probability of a continuous random variable X being greater than or equal to a certain value A is P(X>A) = 1 - F(A). This is the correct option C in the given question.
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Complete question is:
If x is a continuous random variable then P(x≥A)=
A. P(X<A)
B. 1-P(X>A)
C. P(X>A)
D. 1-P(X≥A-1).
Four friends plan to rent a car to go on a camping trip. At the campground the friends sign up to go on a mountain bike tour. It costs 90$ to rent the equipment and 100
The variable that the friends must consider when calculating the cost of the mountain bike tour is the number of hours they would be on the tour.
How to find the variable ?The group of friends will have to pay $ 90 to rent the equipment needed for the bike tour which means this is a cost that cannot change and so there is no need worrying about it as a variable.
The only variable that the friends should consider is the number of hours that they would need to go on the mountain bike tour as the total cost will increase based on the number of hours that they spend on the bike tour.
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The question is:
At the campground, the friends sign up to go on a mountain bike tour. It costs $90 to rent the equipment and $100 per hour for a group of four.
What variable must the friends consider when calculating the cost of the mountain bike tour?
How do you convert microl to l?
Microliters (µL) and liters (L) are both units of volume measurement. A microliter is a very small unit of volume, equivalent to one millionth of a liter. To convert microliters to liters, we can use a simple conversion factor.
The conversion factor is based on the fact that one liter is equivalent to one million microliters. Therefore, to convert microliters to liters, we divide the number of microliters by one million. This can be expressed as:
L = µL / 1,000,000
For example, if we have a volume of 500 µL that we want to convert to liters, we can use the formula above as follows:
L = 500 µL / 1,000,000
L = 0.0005 L
Therefore, 500 µL is equivalent to 0.0005 liters.
It is important to keep track of the units when making conversions and to use appropriate significant figures. Additionally, it is worth noting that microliters are often used in situations where very small volumes are involved, such as in medical or laboratory settings, whereas liters are used for larger volumes such as in the context of cooking or liquid measurements.
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9. The ratio of the measures of the three angles
10
in a triangle
is 10:3:7. Find the measure of the
largest angle.
Answer:
90 degrees
Step-by-step explanation:
10 + 3 + 7 = 20
10/20 x 180 = 90 degrees
Hope this helped :)
Answer:
The largest angle is 90 degree[10]
Step-by-step explanation:
Let 10:3:7 be x
10x+3x+7x = 180 [ angle sum property of a triangle ]
20x = 180
x=180/20
=9/1
=9
10x=10*9=90
3x=3*9=27
7x=7*9=63
90>63>27
therefore the largest angle is 90 degree.
What is the justification for step 1 in the solution process?
8x + 15 = 11x + 2
Step 1: 8x = 11x
13
The justification for step 1 in the solution process of equation 8x + 15 = 11x + 2 will be to substitute the negative sign before the number 13.
What is the solution to the equation?An answer to a formula is any variable value that fulfills the equal outcomes, that is, it tends to make the Left Hand Side (LHS) and Right Hand Side (RHS) of the formula equal. To solve an equation, you must locate the feasible solution) to that formula.
The equation is given below.
8x + 15 = 11x + 2
Simplify the equation for 'x', then we have
8x + 15 = 11x + 2
8x = 11x + 2 - 15
8x = 11x - 13
The justification for step 1 in the solution process of equation 8x + 15 = 11x + 2 will be to substitute the negative sign before the number 13.
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The change in the total amount of Suki's allowance balance over the course of four weeks is shown in the table.
Week Change ($)
1 25.25
2 ─5.75
3 12.40
4 ─14.35
Based on the average change in her allowance balance per week, how much money can Suki expect to save or spend over the course of a year?
Answer:
To get the average you add all numbers up then divide by the amount of numbers you have. In case it's 4 then you get your average dollar amount then you can calculate the amount for the years by multiplying it by 52 because there is 52 weeks in a year.
Aâ _______ is any event combining two or more simple events.
A compound event is any event combining two or more simple events.
How to complete the blanksFrom the question, we have the following parameters that can be used in our computation:
combining two or more simple events.
As a general rule
When two or more simple events are combined, the result is a compound event
An example is selecting 1 in a die and head in a coin
This means that the statement that completes the blank is compound event
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you go out to breakfast and order a meal that costs $7.24 and a coffee that costs $2.65. there is a 6.4% sales tax and you leave a 25% tip. what is the total cost of the meal?
answer: $13.14
$7.24 + $2.65 = $9.89
6.4% sales tax to $9.89 = $10.52
$10.52 + 25% tip = $13.14
what is 10 mcg to mg ?
Using the conversion from microgram to milligram, we get, 10mcg is equal to 0.01mg.
1 mcg (microgram) is equal to 0.001 mg (milligrams). Therefore, to convert 10mcg to mg, we simply need to multiply 10 by 0.001:
10 mcg * 0.001 mg/mcg = 0.01 mg
So, 10mcg is equal to 0.01mg.
To explain further, the prefix "micro" means one millionth (1/1,000,000), while the prefix "milli" means one thousandth (1/1,000). Therefore, to convert a value from micrograms to milligrams, we need to divide the value by 1000 (or multiply by 0.001), because there are 1000 micrograms in a milligram. It is important to use the correct units when working with medication dosages, as small differences in dose can have significant effects on the patient's health.
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HELP MEEEEEEEEE ASAP
This can be solved by using the geometric mean theorem. The altitude drawn to the hypotenuse is the geometric mean of the lengths of the segments of the hypotenuse. The geometric mean is numbers for which this statement is true: a/x = x/b where a and b represent 2 numbers. So filling in a/x = x/b with the given information gives you 36/x = x/9. You can then solve by using the means-extremes property. x^2 = 324
x = 18
TEXT ANSWER
Question 7
Are the sides proportional?
Set up each ratio of sides and determine if they are equal ratios. Show all of your work.
3.61 cm
R
44°
11.97 cm
9.71 cm
N
T
17.955 cm
14.565 cm
121°
M
44°
5.415 cm
The side lengths form a proportional relationship, and the ratios are given as follows:
17.955/11.97 = 14.565/9.71 = 5.415/3.61.
What are similar triangles?Similar triangles are triangles that share these two features presented as follows:
Congruent angle measures.Proportional side lengths.For this problem, the triangles are similar, as they have the same angle measures, and thus the side lengths form a proportional relationship, as the equivalent side lengths have a ratio of 1.5.
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determine if the two triangles are congruent
Yes, the given pair of triangles are congruent by ASA rule.
What are congruent triangles?In geometry, two triangles are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.
Given are two triangles, labelling by names, (refer to the image attached)
Considering the triangles, Δ ABC and Δ DEC,
We have,
AC = DC [given]
∠ A = ∠ D [both are congruent]
∠ ACB = ∠ DCE [vertically opposite angles]
∴ Δ ABC ≅ Δ DEC
By ASA rule.
Hence, we can say, the given pair of triangles are congruent by ASA rule.
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PLEASE HELP ME WITH THIS!!!
Answer:180-128=52
Step-by-step explanation:
opposite supplementary angles
The box plots show a random sample of wait times for two rides at a water park.
The median wait time for Speed Slide is
2 minutes longer than the median
wait time for Wave Machine. The IQR for
both rides is 6 minutes.
Express the difference in the medians as a
multiple of the IQRs.
The difference in the medians is
the IQR.
times
Wait Times for Rides
Speed Slide
Wave Machine
5 7
11
9
Time (min)
7
4
13
8
5
9
6
+
15
8
Answer:
1/3
Step-by-step explanation:
You want to know the ratio of the difference in median wait times to the IQR for the box plots shown.
MediansThe median is the line in the middle of the box. The medians are ...
Speed Slide: 11 minWave Machine: 9 minThe difference in median wait times is 11 -9 = 2 min.
IQRThe IQR is the difference between the upper end of the box and the lower end. The IQRs are ...
Speed Slide: 12 -6 = 6 minWave Machine: 14 -8 = 6 minRatioThe ratio of the difference in medians to the IQR is ...
(median difference) / (IQR) = (2 min)/(6 min) = 1/3
The difference in medians is 1/3 times the IQR.
__
Additional comment
The problem already tells you the difference of medians and the IQR, so all you need to do is express than as a ratio.
difference = k × IQR
k = difference/IQR = 2/6 = 1/3
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If 0° ≤ Θ≤ 360°, then find angle(s) Θ.
2) tanΘ=1
The angles Θ are:
Θ = 45°
Θ = 225°
If tan = 1, the angle can be found by taking the inverse tangent (or arctan) of 1.
Because tangent is positive in the first and third quadrants, we must examine angles ranging from 0° to 360° that fall within those quadrants:
We have the following in the first quadrant:
arctan(1) = 45° if tan = 1
We have the following in the third quadrant:
225° = tan = 1 + 180° = arctan(1)
As a result, the possible angles for are 45° and 225°, which satisfy the equation tan = 1.
As a result, the angles are:
Θ = 45°
Θ = 225°
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cesar had $60.he spent $36.90 on a pair of shoes and the rest new shirt
a)what percent of his money did he spend on the shoes
b)what percent of the hair clips were purple
Answer:
(a) 61.5%
Step-by-step explanation:
(a) $36.90/$60*100%= 61.5%
DUE TODAY HELP ASAP!!
The measure of {x} for each case is -
{ 1 } : x = 45
{ 2 } : x = 54.5
What is a parallelogram?In Euclidean geometry, a parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.Given is a quadrilateral and a pentagon.
{ 1 } -
We can write -
2x + 3x + x + 90 = 360
6x + 90 = 360
6x = 270
x = 45 ... { 1 }
{ 2 } -
We can write -
5(2x - 1) = 540
2x - 1 = 108
2x = 109
x = 54.5 ... { 2 }
Therefore, the measure of {x} for each case is -
{ 1 } : x = 45
{ 2 } : x = 54.5
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A factory made 9,200 jars of peanut butter. 93% of the jars contained creamy peanut butter. How many jars of creamy peanut butter did the factory make?
The total number number of creamy peanut butter jars are 8556.
What is percentage?In mathematics, a percentage is a number or ratio expressed as a fraction of 100.
Given is that a factory made 9200 jars of peanut butter. 93% of the jars contained creamy peanut butter.
We can write the total number number of creamy peanut butter jars as -
{x} = 93% of 9200
{x} = 93/100 x 9200
{x} = 93 x 92
{x} = 8556
Therefore, the total number number of creamy peanut butter jars are 8556.
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Pllease Help!! 25 points!!!!!
The required y-coordinate of system of equation is -3.
Explain about y-coordinate.The second component of an ordered pair is a y-coordinate. The y-coordinate denotes the directional separation of the point from the x-axis when an ordered pair is graphed as the coordinates of a point in the coordinate plane. The ordinate is another term for the y-coordinate.
According to question:We have,
y = x/2 - 4 and y = -2x + 1
Equate both equation
x/2 - 4 = -2x + 1
x - 8 = -4x + 2
5x = 10
x = 2
Then,
y = -2x + 1
y = -2(2) + 1
y = -4 + 1
y = -3
Thus, required y-coordinate of system of equation is -3.
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