Answer:
2(3x+3)=24
6x+6=24
-6 -6
---------------------
6x
-------
6 18 divide by 6
x = 3
Step-by-step explanation:
hope this helps!! please mark brainliest :))
the answer for these questions
The triangles are similar by SSS congruence of triangles.
What is SSS congruence of triangles?
The two triangles are congruent if the three sides of one triangle are the same as the corresponding three sides (SSS) of the other triangle.
We are given two triangle ABC and PQR.
In order to see whether these are similar or not, we will use the SSS congruence of triangles.
The ratio of sides are:
⇒AB : PQ = 8 : 6
⇒AB : PQ = 4 : 3
Similarly,
⇒BC : QR = 12 : 9
⇒BC : QR = 4 : 3
Similarly,
⇒AC : PR = 12 : 9
⇒AC : PR = 4 : 3
Since, the ratio of all the sides is same so, the triangles are similar.
Hence, the triangles are similar by SSS congruence of triangles.
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Since, there are multiple questions so, the question answered above is attached below
g (x)=√-3x+6
Look at photo please
Answer:
\((-\infty,2)\)
Step-by-step explanation:
Since \(-3x+6\nless 0\), then \(x\ngtr 2\), therefore, the domain of the function is \((-\infty,2)\).
Please help I will mark brainliest
Answer the question in the picture
Answer:
option 1 is the answers for the question
Step-by-step explanation:
please mark me as brainlest
!20 POINTS! Which linear equation represents the data given in the table?
to get the equation of any straight line all we need is two points off of it, hmmm let's use (-1 , 1) and hmmmm (2 , 10)
\((\stackrel{x_1}{-1}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{10}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{10}-\stackrel{y1}{1}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{(-1)}}}\implies \cfrac{9}{2+1}\implies 3\)
\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{3}(x-\stackrel{x_1}{(-1)}) \\\\\\ y-1=3(x+1)\implies y-1=3x+3\implies y=3x+4\)
In each diagram, line f is parallel to line g, and line t intersects lines f and g
In each diagram, line f is parallel to line g, and line t intersects both lines f and g. The given information suggests the application of certain geometric properties and relationships.
Firstly, when a transversal line (line t) intersects two parallel lines (lines f and g), it creates several pairs of corresponding angles.
Corresponding angles are congruent, meaning they have equal measures. This property can be used to determine the measures of specific angles in the diagram.
Secondly, when a transversal intersects parallel lines, it also creates alternate interior angles and alternate exterior angles.
Alternate interior angles are congruent, as well as alternate exterior angles.
By utilizing these properties and relationships, one can analyze the diagram and determine the measures of various angles.
It is important to measure angles systematically and compare them to find congruent or equal measures.
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A.) The formula for the volume of a sphere is given below and the relationship between the radius r and the diameter d is r=d/2. Find the EXACT volume of the sphere in terms of the diameter d. Be sure to fully simplify the expression.
B.) What is the EXACT volume of the sphere when the diameter is 2/3 centimeter?
Answer:
\(\displaystyle V=\frac{4}{81}\cdot \pi\ cm^3\)
Step-by-step explanation:
The Volume of a Sphere
The volume of a sphere of radius r is given by:
\(\displaystyle V=\frac{4}{3}\cdot \pi\cdot r^3\)
A. )
If the diameter of the sphere is d, the radius is r=d/2. Substituting:
\(\displaystyle V=\frac{4}{3}\cdot \pi\cdot \left (\frac{d}{2} \right )^3\)
Operating
\(\displaystyle V=\frac{4}{3}\cdot \pi\cdot \frac{d^3}{8}\)
Simplifying
\(\displaystyle V=\frac{1}{6}\cdot \pi\cdot d^3\)
B.)
The diameter of the sphere is 2/3 cm, thus the volume is:
\(\displaystyle V=\frac{1}{6}\cdot \pi\cdot \left (\frac{2}{3} \right )^3\)
Operating:
\(\displaystyle V=\frac{1}{6}\cdot \pi\cdot \frac{8}{27}\)
\(\displaystyle V=\frac{8}{27}\frac{1}{6}\cdot \pi\)
\(\boxed{\displaystyle V=\frac{4}{81}\cdot \pi\ cm^3}\)
Nicholas is buying shirts for his baseball team. He will pay $9.50 for each shirt plus a
one-time fee of $22.50 for the design. Which equation can be used to find y, the total cost to buy x shirts?
A. y = 9.5x + 22.5
B. y = 22.5x + 9.5
C. y = 9.5x - 22.5
D. y = 22.5x - 9.5
Answer:
A
Step-by-step explanation:
cause x shirts times 9.5(the price of shirt)+ one time fee
The average person drinks 3.4 pints in a day . How many gallons is that in a week
Answer:
2.975 gallons a week
Write an equivalent expression 2x + 10
Answer: 2 (x+5)
Step-by-step explanation:
Answer:
x+5
Step-by-step explanation:
pls complete these two questions! 80 points!!
3a. An equation in slope-point for this line is y + 2 = 1/2(x - 0).
3b. The equation in slope-intercept form is y = 1/2(x) - 2.
4a. An equation in slope-point form to represent this function is y - 3875 = -1/695(x - 19375).
4b. The cost of operating a car that has been driven 31250 km is $3892.086.
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.Part 3.
First of all, we would determine the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (0 + 2)/(4 - 0)
Slope (m) = 1/2
At data point (0, -2) and a slope of 1/2, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y + 2 = 1/2(x - 0)
y = 1/2(x) - 2
Part 4a.
Based on the information provided about Jay's business, we would determine the slope of the line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (3900 - 3875)/(2000 - 19375)
Slope (m) = 25/-17375
Slope (m) = -1/695
At data point (19375, 3875) and a slope of -1/695, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 3875 = -1/695(x - 19375)
Part 4b.
For the cost when x = 31250 km, we have:
y - 3875 = -1/695(31250 - 19375)
y = 17.086 + 3875
y = $3892.086.
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if 2 sides of a triangle measure 6 and 16 find the range for the 3rd side
Step-by-step explanation:
Range if third side is in between 10-22
Reason:
For the lowest value of third side 16-6= 10
For the highest value if third side 16+6= 22
⚡⚡⚡⚡⚡⚡⚡⚡⚡⚡⚡⚡⚡⚡⚡
Answer:
10
Step-by-step explanation:
big brain B)
What is the sum of two comsecutive integers
Answer:
The sum of any two consecutive numbers is always odd. Example, 4 + 5 = 9; –8 + (–7) = –15.
The 7 times the sum of a
number and 6 IS 63
Answer:
Missing number = 3
Step-by-step explanation:
Let \(x\) be the missing number. We have the following:
\(7\cdot (6+x)=63,\\6+x=9,\\x=\boxed{3}\)
ayuda porfavor
necesito resolver esto es simplificarlo no resolverlo ayuda pls
The Simplification of the algebraic expression gives:
a. -2/3x² - (4/15)xy + (11/4)y²
b. -(12/7)x³ + (20/9)y
How to simplify algebraic expressions?Simplification of an algebraic expression is the process of writing an expression in the most efficient and compact form without affecting the value of the original expression
a. (1/3)x² - (2/5)xy + 2y² + (2/15)xy - 3x² + (3/4)y²
To simplify this, add or subtract like terms. That is:
(1/3)x² - (2/5)xy + 2y² + (2/15)xy - 3x² + (3/4)y²
= (1/3)x² - 3x² - (2/5)xy + (2/15)xy + 2y² + (3/4)y²
= -2/3x² - (4/15)xy + (11/4)y²
b. (2/7)x³ - (1/3)y + 2y - 2x³ + (5/9)y
To simplify this, add or subtract like terms. That is:
(2/7)x³ - (1/3)y + 2y - 2x³ + (5/9)y = (2/7)x³- 2x³ - (1/3)y + 2y + (5/9)y
= -(12/7)x³ + (20/9)y
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lee has a collection of dvds he had 8 dramas 15 comedies and 2 westerns if he selects at random a dvd to watch what is the probability that he will select a western
Explanation:
There are A = 2 westerns out of B = 8+15+2 = 25 movies total
The probability of selecting a western is A/B = 2/25
In decimal form, this is 2/25 = 0.08 which converts to 8%
Answer:
2/25
Step-by-step explanation:
so first u have to add them all up to get 25 because 8 +15+2=25. then, since there are 2 westerns, the probability that he will select a western is 2 out of 25
A glucose solution is administered intravenously into the bloodstream at a constant rate r. As the glucose is added, it is converted into other substances and removed from the bloodstream at a rate that is proportional to the concentration at that time. Thus a model for the concentration C = C(t) of the glucose solution in the bloodstream is dC/dt = r - kC where k is a positive constant. Assuming that C0 < r/k, find lim t→[infinity] C(t) and interpret your answer
Answer:
\(C(t) =\dfrac{ r}{k} - \left (\dfrac{r-kC_{0}}{k} \right )e^{ -kt}\)
\(C(t) =\dfrac{ r}{k}- e^{ -kt}\) we can conclude that the function is an increasing function.
Step-by-step explanation:
Given that:
\(\dfrac{dC}{dt}= r-kC\)
\(\dfrac{dC}{r-kC}= dt\)
By taking integration on both sides ;
\(\int\limits\dfrac{dC}{r-kC}= \int\limits \ dt\)
\(- \dfrac{1}{k}In (r-kC)= t +D\)
\(In(r-kC) = -kt - kD \\ \\ r- kC = e^{-kt - kD} \\ \\ r- kC = e^{-kt} e^{ - kD} \\ \\r- kC = Ae^{-kt} \\ \\ kC = r - Ae^{-kt} \\ \\ C = \dfrac{r}{k} - \dfrac{A}{k}e ^{-kt} \\ \\\)
\(C(t) =\frac{ r}{k} - \frac{A}{k}e^{ -kt}\)
where;
A is an integration constant
In order to determine A, we have C(0) = C0
\(C(0) =\frac{ r}{k} - \frac{A}{k}e^{0}\)
\(C_0 =\frac{r}{k}- \frac{A}{k}\)
\(C_{0} =\frac{ r-A}{k}\)
\(kC_{0} =r-A\)
\(A =r-kC_{0}\)
Thus:
\(C(t) =\dfrac{ r}{k} - \left (\dfrac{r-kC_{0}}{k} \right )e^{ -kt}\)
b ) Assuming that C0 < r/k, find lim t→[infinity] C(t) and interpret your answer
\(C_{0} < \lim_{t \to \infty }C(t)\)
\(C_0 < \dfrac{r}{k}\)
\(kC_0 <r\)
The equation for C(t) can therefore be re-written as :
\(C(t) =\dfrac{ r}{k} - \left (\dfrac{r-kC_{0}}{k} \right )e^{ -kt}\)
\(C(t) =\dfrac{ r}{k} - \left (+ve \right )e^{ -kt} \\ \\C(t) =\dfrac{ r}{k}- e^{ -kt}\)
Thus; we can conclude that the above function is an increasing function.
Since the mode is the most frequently occurring data value, it
Select one:
a. is always larger than the mean
b. can never be larger than the mean
c. must have a value of at least two
d. is always larger than the median
e. None of these answers is correct.
Any answer without justification will be rejected automatically.
The correct answer is option (e): None of these answers is correct.
The statement "the mode is the most frequently occurring data value" is true. However, none of the options provided accurately describes the relationship between the mode and the mean.
The mode and the mean are different measures of central tendency and can have different values. There is no general rule or guarantee that the mode will always be larger or smaller than the mean. The relationship between the mode and the mean depends on the specific dataset and its distribution. Therefore, none of the provided options correctly describes the relationship between the mode and the mean.
Consider z = 3StartRoot 3 EndRoot + 3i. What happens to the modulus and argument when z is raised to the 4th power?
Answer:
Its A on edge
The modulus increases by a factor of 216, and the argument increases by StartFraction pi Over 2 EndFraction.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Edge2021
Which graph shows the solution to the system of linear inequalities? 2x – 3y <12 y < –3
Answer:
-3 please brainliest me PLease i expain it too
Step-by-step explanation:
Let's put the equation into point slope for
-3y < -2x + 12
Divide by -3
y < 2/3x - 4
The answer is the first one because the shades are pointing down.
y < -3 means the shade points down y because y is less than -3
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The inequality 2x – 3y <12 and y < –3 is shown in the third graph.
What is inequality?Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.
The inequalities are:
2x -3y ≤ 12
y < -3
First, for the second inequality, we can see that y must be strictly less than -3, so we should see a dotted line at y = 3, and a shaded section under that line.
From this, we can discard the second graph (the middle one).
The first inequality can be rewritten as:
2x - 3y ≤ 12
-3y ≤ 12 - 2x
Now we divide by -3 into both sides, as we are dividing by a negative number, the direction of the ≤ sign changes:
y ≥ (12/-3) + (-2/-3)x = -4 + (2/3)*x
This means that the shaded section must be above the line:
y = -4 + (2/3)*x
Therefore, the inequality 2x – 3y <12 and y < –3 is shown in the third graph.
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a marketing agency selected a random sample of television viewers to test the claim that the proportion of viewers who watch a particular show is less than 0.20 at a level of significance of 0.05. the test yielded a p -value of 0.47. assuming all conditions for inference were met, which of the following is the correct conclusion?
Correct conclusion , Proportion of viewers is not less than 0.20.
What is proportion ?
A proportion is a way to express the relationship between two or more quantities or values. It is a statement that asserts that two ratios or fractions are equal, such as "2/5 is equal to 4/10". Proportions can be written in different ways, such as "2 to 5 is equal to 4 to 10", or "2:5 = 4:10".
the proportion of viewers who watch the particular show is less than 0.20. The p-value of 0.47 is greater than the level of significance of 0.05, meaning that the results of the test are not statistically significant and do not provide enough evidence to reject the null hypothesis that the proportion of viewers who watch the particular show is greater than or equal to 0.20. Therefore, the marketing agency cannot conclude that the proportion of viewers who watch the particular show is less than 0.20.
Correct conclusion , Proportion of viewers is not less than 0.20.
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What is the value of each temperature in a box to show the order from least to greatest-22 -6 15 -13 18
Note that a negative number is below 0, and a positive number is above 0
Therefore, all negative numbers are less than the positive numbers
Rewriting the numbers :
-22, -6, -13, 15, 18
Now, for negative numbers, the smaller the number, the greater the value.
For example :
-1 > -4
-2 > -5
It is the opposite in the regular number.
So rewriting again the numbers from least to greatest.
-22, -13, -6, 15, 18
Ladonna borrowed 2000$ to purchase a car the total amount she will need pay includes 2000 200 in interest and 75$ in loan fees what is the finance charge on Lasonnas loan
Answer:
i don't know fam how will I be able to answer that
3 6 9 12 15 18 21 24 27 30 is odd or even numbers?
Answer: Half of them are even and half of them are odd.
Step-by-step explanation:
The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.
The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.
Therefore, out of the given numbers, half of them are even and half of them are odd.
________________________________________________________
using factoring what is the solution to the equation 2x^2+3x-5=0
Answer:
Option B. ( x=1,-5/2 Or x=-5/2,1)
Step-by-step explanation:
2x2+3x−5=0
Step 1: Factor left side of equation.
(2x+5)(x−1)=0
Step 2: Set factors equal to 0.
2x+5=0 or x−1=0
x=−5/2 or x=1
(The Answer you can just switch it around but dont worry its still the same answer nothing change...)
Cate started with $0 in her account. After one week Cate saved $1; after two weeks she saved $4; after three weeks she saved $9; and after four weeks she saved $16.
The answer is neither. Option C
How to determine if the number pattern is linear or exponentialA linear number pattern is a sequence of numbers whose difference between all the terms is the same. When you count, the difference between each successive number is 1. You start with 1, then you add 1 to get 2. Then you add another 1 to get 3. And you keep repeating this addition of 1 process to get the rest of the terms.
Exponential notation is used to represent very large numbers and very small numbers. When representing very large numbers, the exponential notation will have a positive exponent; when representing a really small number, the exponential notation will contain a negative exponent.
From the question, the pattern of the number takes non of the pattern or neither linear or exponential
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−18x+21>−15 OR 20x−13≥27
Answer:
I dont know what is your question, but I solved this.
Step-by-step explanation:
-18x>-15-21
-18x>-36
x<2
20x>=27+13
20x>=40
x>2
A middle school took all of its 6th grade students on a field trip to see a play at a theater that has 4340 seats. The students left 2387 seats vacant. What percentage of the seats in the theater were filled by the 6th graders on the trip?
Answer: 45%
Step-by-step explanation:
I am trying to perform an A/B test to see if two samples come from the same underlying distribution. My alternative hypothesis is that the samples do not come from the same underlying distribution. The _________ should be chosen as the test statistic. _________ _________ values of this statistic provide evidence in favor of the alternative hypothesis.
a. difference between the groups' averages, large absolute
b. total variation distance, large
c. difference between the groups' averages, large
the correct option is a. difference between the groups' averages, large absolute
I am trying to perform an A/B test to see if two samples come from the same underlying distribution. My alternative hypothesis is that the samples do not come from the same underlying distribution. The difference between the groups should be chosen as the test statistic averages large absolute values of this statistic provide evidence in favor of the alternative hypothesis.
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The x and y intercepts for the linear equation x – 2y = -8 is
Answer:
x- intercept = - 8 , y- intercept = 4
Step-by-step explanation:
to find the x- intercept let y = 0 in the equation and solve for x
x - 2(0) = - 8
x - 0 = - 8
x = - 8 ← y- intercept
to find the y- intercept let x = 0 in the equation and solve for y
0 - 2y = - 8
- 2y = - 8 ( divide both sides by - 2 )
y = 4 ← y- intercept
Which of these shapes will tessellate without leaving gaps? A. Hexagon B. Octagon C. Pentagon D. Circle
The shape that can tessellate without leaving gaps is the hexagon (option A).
The shapes that can tessellate without leaving gaps are shapes that can be repeated to completely cover a flat surface without any overlaps or gaps. Among the options provided, the shape that will tessellate without leaving gaps is the hexagon (option A).
A hexagon is a six-sided polygon with equal sides and angles. It is a regular polygon, which means all of its sides and angles are equal. A regular hexagon can be arranged and repeated in a pattern to fill a plane without any gaps or overlaps. Bees' honeycombs are a real-world example of hexagonal tessellation.
On the other hand, octagons (option B) and pentagons (option C) do not tessellate by themselves without gaps. While they can be used in combination with other shapes to create tessellations, they cannot tessellate on their own.
A circle (option D) cannot tessellate without leaving gaps. A circle is a curved shape, and it cannot form a repeating pattern that completely covers a flat surface without overlaps or gaps.
In summary, the shape that can tessellate without leaving gaps is the hexagon (option A).
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