Answer:
I hope this helps!
Step-by-step explanation:
Move the constant to the right side
Add \((\frac{b}{ 2a} )^{2}\) to both sides
Rewrite as \(( x +\frac{b}{2a}) ^{2}\)
Take the square root of both sides
Solve for x
In Duck Creek, a bicycle license plate consists of one letter followed by one digit; for example, $Q7$ or $J1$. How many different license plates are possible
On solving the provided question, we can say that by permutation 26 possible letters x 10 possible digits = 260 possible plates
what is permutation?The permutation of a set in mathematics is essentially the rearranging of its elements if the set is already ordered, or the arrangement of its members in a linear or sequential order. The act of altering the linear order of an ordered set is referred to as a "permutation" in this context. The mathematical calculation of the number of possible arrangements for a given set is known as permutation. Permutation, in its simplest form, refers to the variety of possible arrangements or orders. The placement of the elements matters with permutations. The placement of items in a specific order is known as a permutation. Here, the set's components are sorted in either chronological order or linear order. like in the case of
26 possible letters x 10 possible digits =
26 x 10 =
260 possible plates
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What is the solution to the equation: 5x- 18 = 10x- 3
(A) x=1
(B) x= -5
(C) x= -1
(D) x= -3
Help please and thank you.
The solution to the equation 5x - 18 = 10x - 3 is x = -3. Therefore, the correct answer is (D) x = -3.
To solve the equation 5x - 18 = 10x - 3, we'll simplify and isolate the variable x. Let's go through the steps:
Step 1: Start by collecting like terms on each side of the equation. We can do this by subtracting 5x from both sides:
-18 = 10x - 5x - 3
Simplifying further, we have:
-18 = 5x - 3
Step 2: Next, let's isolate the term containing x. We can do this by adding 3 to both sides:
-18 + 3 = 5x - 3 + 3
Simplifying further, we have:
-15 = 5x
Step 3: Finally, divide both sides of the equation by 5 to solve for x:
-15 / 5 = 5x / 5
Simplifying further, we have:
-3 = x
So, the solution to the equation 5x - 18 = 10x - 3 is x = -3. Therefore, the correct answer is (D) x = -3.
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Consider AABC with vertices A(-2, -3) and B(-6, -6) and C(-8, 5).a) Draw AABC on graph paper. Is this a right triangle? JUSTIFY your answer.b) Reflect AABC across AC to create AA'B'C'. Find the location of B'. What kind oftriangle is ABB'C:? JUSTIFY your answer.
Given data:
The graph of the given points is shown below.
The slope of the line passing through A(-2, -3) and B(-6, -6).
\(\begin{gathered} m=\frac{-6-(-3)}{-6-(-2)} \\ =\frac{-3}{-4} \\ =\frac{3}{4} \end{gathered}\)The slope of the line passing through B(-6, -6) and C(-8, 5).
\(\begin{gathered} m^{\prime}=\frac{5-(-6)}{-8-(-6)} \\ =-\frac{11}{2} \end{gathered}\)The slope of the line passing through A(-2, -3) and C(-8, 5).
\(\begin{gathered} m^{\doubleprime}=\frac{5-(-3)}{-8-(-2)} \\ =\frac{8}{-6} \\ =-\frac{4}{3} \end{gathered}\)The product of the slope of line passing through AB and line passing through AC is,
\(\begin{gathered} m\times m^{\doubleprime}=\frac{3}{4}\times(-\frac{4}{3}_{}) \\ =-1 \end{gathered}\)Thus, the line passing through AB and line passing through AC are perpendicular.
True or false? To begin an indirect proof, you assume the inverse of what you intend to prove is true
Answer:
True
Step-by-step explanation:
i have a crush on a 37 year old HELPPP
Answer:
Step-by-step explanation:
what the- get help if youre a literal minor
Someone please help me i will mark brainiest !!!!!
What do you know to be true about the values of a and b ?
A. a = b
B. a < b
C. a > b
D. Cant be determined
The answer to this question is B
in a local election, votes were cast for mr. dyer, ms. frau, and mr. borak in the ratio of 4:3:2. if there were no other candidates and none of the 2,700 voters cast more than one vote, how many votes did mr. dyer receive?
To calculate the number of votes that Mr. Dyer received, we need to multiply the ratio with the total votes. Mr. Dyer received 1,080 votes.
Ratio of votes = 4:3:2
Total votes = 4 + 3 + 2 = 9
Total votes cast = 2,700
Mr. Dyer's votes = (4/9) x 2,700 = 1,080 votes
The ratio of votes cast for Mr. Dyer, Ms. Frau and Mr. Borak was 4:3:2 respectively. This means that for every 9 votes cast, 4 votes were for Mr. Dyer, 3 votes were for Ms. Frau and 2 votes were for Mr. Borak. Since none of the 2,700 voters cast more than one vote, the total votes cast for each candidate would be 2,700. To calculate the number of votes that Mr. Dyer received, we need to multiply the ratio with the total votes. Therefore, Mr. Dyer received 1,080 votes (4/9 x 2,700).
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please help im kinda failing in math
Answer:
Step-by-step explanation:
c
a
random samples of size 16 are taken from an infinite population whose mean and standard deviation are 260 and 16, respectively. the distribution of the population is unknown. find the mean and the standard error of the mean.
By using the concept of statistics mean of sample distribution is 260 and standard deviation is 4
The practice or science of collecting and analysing numerical data in large quantities, especially for the purpose of inferring proportions in a whole from those in a representative sample. is called as statistics.
More Importantly ,Statistics is used to do calculations of huge data distributed in some ways.
We have mean of infinite population. Mean of random sample will be also 260.
Now talking about standard error of the mean ,
we know very well that standard error of mean=standard deviation/\(\sqrt{x}\)
where x is size
We know that sample size is 16
Therefore standard error of mean is =16/\(\sqrt{16}\)=16/4=4
Hence mean of random sample is 260 and standard error of mean is 4
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(-∞-)help me help me help me help me help me help me help me help me help me help me help me help me help me help me help me help me help me help me
Answer:
the answer is -3 because -++ in the high eat number so the -7 is the bigest
Find the derivative of tan(x).
\(\qquad\qquad\huge\underline{{\sf Answer}}♨\)
Derivative of tan(x) is sec²x
\(\qquad \sf \dashrightarrow \: \therefore \dfrac{d}{dx} ( \tan(x)) = { \sec}^{2} (x)\)
You can check the first principle method of derivation in attachment
\(\rightarrow \sf \dfrac{d}{dx} (tan(x))\)
\(\rightarrow \sf \dfrac{d}{dx} ( \ \dfrac{sin(x)}{cos(x)} \ )\)
use the quotient rule
\(\rightarrow \sf \dfrac{cos(x) * \dfrac{d}{dx} (sin(x)-sin(x)*\dfrac{d}{dx}(cos(x) }{cos(x)^2}\)
\(\rightarrow \sf \dfrac{cos(x) * cos(x)-sin(x)*(-sin(x) )}{cos(x)^2}\)
\(\rightarrow \sf \dfrac{cos(x)^2+sin(x)^2}{cos(x)^2}\)
\(\rightarrow \sf \dfrac{1}{cos(x)^2}\)
\(\rightarrow \sf sec(x)^2\)
used formula's :
cos²(x) + sin²(x) = 1\(\sf \dfrac{1}{cos^2(x) }= sec^2(x)\)\(\sf \frac{d}{dx}\) cos(x) = -sin(x)\(\sf \frac{d}{dx}\) sin(x) = cos(x)tan(x) = sin(x)/cos(x)PLEASE HELP!!! A triangular attic vent has an area of 450 inches squared. The base is 4 times larger than the height.
Write a quadratic equation to model the situation. Let h represent the height.
Solve the equation. Find the base and height of the vent.
The formula for the area of a triangle is 1/2 x base x height.
If we use h to represent the height, then the base must be 4h.
1/2 x base x height = 450
1/2 x 4h x h = 450
2h x h = 450
2h^2 = 450
0 = 2h^2 - 450
0 = h^2 - 225
Equation: h^2 - 225 = 0
OR
(h + 15)(h - 15) = 0
To solve this equation, we can very easily factor it because 225 is a perfect square. When we set each of the factored binomials equal to 0, the answer will be the positive integer. A measurement will never be a negative number.
(h - 15)(h + 15) = 0
h - 15 = 0
h = 15
h + 15 = 0
h = -15
h = 15
Base = 4h = 4 x 15 = 60
Answer:
Base = 60 inches
Height = 15 inches
Hope this helps!
2. When making lemonade with a lemon flavor powder and water, the more powder you use per gallon of
water, the stronger the lemon flavor will be. Clare mixes 2 gallons of water with cup of lemonade
lemonade powder. Whose lemonade will taste
powder. Han mixes 1 gallon of water with
stronger? Inline Choice 1
Inline Choice 1:
1. Clare
2. Han
3. Both are the same
-
4
-
3
Han's lemonade will have a stronger lemon flavor than Clare's.
Concentration problemClare is using 1 cup of lemonade powder per gallon of water, whereas Han is using 1 cup of lemonade powder per gallon of water.
Concentration of Clare's solution = 1 lemonade cup per 2 gallons of water.Concentration of Han's solution = 1 lemonade cup per 1 gallon of waterThus, Han's lemonade will have a higher concentration of lemonade powder, resulting in a stronger lemon flavor. The ratio of powder to water is important in determining the strength of the flavor.
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Given that ZQRP = (2x + 20) and ZPSQ = 30°, find the value of x.
The value of x is 65. Please note that this solution is based on the assumption that the angles QRP and PSQ are supplementary. If this assumption doesn't hold, feel free to let me know.
We need to find the value of x in the equation ZQRP = (2x + 20)° given that ZPSQ = 30°. Since the question doesn't provide enough information about the relationship between angles QRP and PSQ, I'll assume that they are supplementary angles (angles that add up to 180°). This assumption is based on the possibility that the angles form a straight line or a linear pair.
If angles QRP and PSQ are supplementary, their sum is 180°:
(2x + 20)° + 30° = 180°
Now, we can solve for x:
2x + 50 = 180
Subtract 50 from both sides:
2x = 130
Divide by 2:
x = 65
Consider the triangle.
Which statement is true about the lengths of the sides?
O Each side has a different length.
O Two sides have the same length, which is less than
the length of the third side.
O The three sides have the same length.
O The sum of the lengths of two sides is equal to the
45
length of the third side.
Answer:The three sides have the same length.
Step-by-step explanation:
If this isn’t it, I’m sorry.
Answer:
The 3rd option, "The three sides have the same length."
Step-by-step explanation:
Just took the test.
a rectangle has perimeter 74 inches, and its area is 322 square-inches. find the dimensions of this rectangle.
the dimensions of rectangle is l = 23 and w = 14
Rectangle
Given,
A rectangle has perimeter 74 inches, and its area is 322 square-inches
To find the dimensions of this rectangle.
Steps:
With this question it is known that the perimeter of the rectangle is 74 inches and the area is 322 inches. the question is what is the length and width of the rectangle.
The formula for the perimeter of a square is P = l + l + w + w or P= 2(l + w) and the formula for the area of a rectangle is A = l x w.
the formula for the perimeter of a rectangle is P= 2(l + w) that means w=l(p/2-l) and the formula for the area of a rectangle is A = l x w, usually l is longer than w
insert the w equation with the perimeter formula into the area formula A = l (p/2-l) to
solve this equation: \(l\\^{2}\) - (\(\frac{P}{2}\)) x l + A=0 to get l
\(l\\^{2}\) - (74/2) l +322=0
\(l\\^{2}\) - 37l + 322=0
(l-23)(l-14)=0 so
l =23 and l=14,
it can be concluded that l = 23 and w = 14
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Clinton is having a coin drive. Each class has a goal of 600 pennies.Layla has already collected 338 pennies. How many more pennies does Layla need to collect to reach their goal. PLEASE SHOW YOUR WORK I WILL MARK YOU BRAINLIEST PLEASE AND EXPLAIN HOW YOU GOT YOUR ANSWER
Answer:
262 pennies
Step-by-step explanation:
If Layla already has 388 pennies and she needs 600 pennies total, all she needs to do is is take the amount she already has away from 600:
What is the reciprocal of 2⅜
Answer:
8/19
Step-by-step explanation:
Use this rule: a b/c=ac+b/c
2x8+3/8
please answer my question
Answer:
well 12 x 10 = 120 so 120 x 10 = 1200 and 5 x 5 = 25 so 25 x 10 = 250 and 1200 + 250 would be 1450
can yall help me I really need this done.
Thank you much love
Let's use the furthest left point on the triangle to figure out the translation.
Blue triangle = (-5,1)
Black triangle = (-3,-1)
To get from -5 to -3 we moved the triangle 2 units to the right, which means that we added 2.
To get from 1 to -1, we moved the triangle 2 units down, which means we subtracted 2.
Rule: {2, -2}
Hope this helps!
6.8x+9.3=-9.4+3.4(2-5x)
Answer:
x = -2.67
Step-by-step explanation:
6.8x + 9.3 = -9.4 + 3.4(-3x)
6.8x + 10.2x = -9.4 - 9.3
17x = -18.7
x = -2.67
Is 82 inches grater than 5feet and 10 inches
Answer:
False, 82 inches is not greater than 5 feet and 10 inches
Step-by-step explanation:
1 feet = 12 inches
5x12=60+10=70
82 is greater than 70.
The velocity of a bus increases from 72km/hr to 30m/s in 10 seconds. Calculate its acceleration
Answer:
I think this will help you
A beauty supply store surveyed 1,000 customers to determine which of 3 brands of concealer they like the best. 335 customers chose Brand A, 402 customers chose Brand B, while 263 customers chose Brand C. What percent of customers chose Brand B? Round off your answer to the nearest tenths place.40.2%25%59.8%33.5%
Answer: 40.2%
Step-by-step explanation:
Divide 1000 by 10 and 402 by 10. You get 100 (the total percentage) and 40.2 (the percentage that chose Brand B.)
PLEASE HELP FAST I WILL GVIE BRAINLIST AND EXTRA MARKS FOR CORRECT ANSWER! THANKS
Answer:
f(-2) = 2
Step-by-step explanation:
Look at the graph and find -2 on the x-axis and see what the y-coordinate is on the line where x is -2. When you do this, you can see that where x is -2, y is 2.
So basically it wants the y-value :)
Answer:
1.25
Step-by-step explanation:
the answer is 1.25. To get that, I found the slope, wrote the equation in point slope form, and then I calculated when the f(x) function hits the line
44 is less than or equal to x
Answer:
44 <= x
Step-by-step explanation:
in a class of 36,19 read bioogy,16 read chemistry and 5 were not allowed to read both subjects
Answer:
not hjyftyi uit yfiu hyr k
Step-by-step explanation:
sorry just i need some points
its urgent
can someone please help me with this question, thank you!
ANSWER ASAP
What is the length of Line segment B C, rounded to the nearest tenth?
13.0 units
28.8 units
31.2 units
33.8 units
Answer:
28.8
Step-by-step explanation:
Answer:28.8
Step-by-step explanation:
if the null hypothesis is 'french people do not differ from english people in height', what will be the alternative hypothesis?
The alternative hypothesis will be French people differ from English people in height.
A hypothesis is described in statistics as a formal statement that explains the relationship between two or more variables.
In statistical hypothesis testing, null and alternate hypotheses are applied. The null hypothesis of a test always predicts no effect or no association between variables, but the alternative hypothesis reflects the effect or relationship that your research predicts.
Given
Null hypothesis- French people do not differ from English people in height.
Therefore, the Alternative hypothesis for the given statement is - French people differ from English people in height.
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