Answer:
a. answer choice c
b. 20301
Step-by-step explanation:
You first need to understand a formula for finding the sum of consecutive integers starting from one: (m*(m+1))/2, m is the biggest number in the set.
a. The biggest number in your set is 100, so we plug in 100 for m and solve:
100*101/2=50*101=5050
b. Same thing. Use the formula t plug in 201 for m:
201*202/2=201*101=20301
The only reason you have the picture next to your question is to prove the formula (m*(m+1))/2.
a rectangle prism has a volume of x^3 + 6x^2 - 7x - 60. If the height of the prism is x + 4, the dimensions of the base are
Please help with this asap!
Answer:
20
Step-by-step explanation:
We're king of shown that it's a parallelogram, so we should assume LM = KN (we can't solve it if we don't know if it's a parallelogram).
LM = KN
3x - 4 = x + 12
2x = 16
x = 8
LM = x + 12 = 8 + 12 = 20
KN = 3x - 4 = 3*8 - 4 = 24 - 4 = 20
checks out
Answer:
Step-by-step explanation:
we know KN=LM, because it looks a parallelogram
3x-4=x+12
3x-x=12+4
2x=16
x=8
LM=8+12=20
Please help me on this or give me the answer!
Answer:
i agree with he or she they are correct as well
Step-by-step explanation:
On Monday Mrs.Smith rode her favorite horse, Wild Racer, 1 3/4 mi.
On Tuesday she rode 1 9/15 mi; on Wednesday, 1 4/5 mi;
on Thursday 1 3/5 mi.
On which days did Mrs.Smith ride Wild Racer the same distance?
Answer: On Tuesday and Thursday
Step-by-step explanation:
On Tuesday, Mrs. Smith rode her favorite horse for 1 9/15 miles. Taking it to its simplest form by dividing it by 3 would yield a mixed fraction of 1 3/5 which is the same as the distance that the horse was ridden on Thursday.
Another method is to convert them back into their original improper fractions.
Tuesday; Thursday
= 1 9/15 = 1 3/5
= (15 * 1 + 9) / 15 = (5 * 1 + 3)/5
= 24/15 = 8/5
= 8/5
Notice how again they are the same at their simplest forms.
13. Given f(x) = X – 3 and g(x) = 4x, find f(g(x)).
A. 4x - 3
B. 4x - 12
C. 5x - 3
D. 3x - 3
Step-by-step explanation:
f(g(x))
= f(4x)
= (4x) - 3. (A)
Step-by-step explanation:
option A is the correct answer according to my opinion .
plz mark my answer as brainlist if you find it useful.
Lets find the square of the no. from 1 to 10. Then observe the digits at one's place of each square no. what did you notice Write a short note.
The observation of the pattern is discussed below.
When we calculate the squares of the numbers from 1 to 10 and observe the digits at the one's place of each square, we notice a pattern:
1²=1
2²=4
3²=9
4²=16
5²=25
6²=36
7²=49
8²=64
9²=81
10²=100
If we focus on the digits at the one's place, we can see that they form a repeating pattern: 1, 4, 9, 6, 5, 6, 9, 4, 1, 0. This pattern repeats itself as we calculate the squares of higher numbers.
This observation is known as the "digit at one's place pattern" or the "units digit pattern." It occurs because the square of any number depends only on the digit at the one's place of that number. Hence, when we square numbers that have the same digit at the one's place, we get the same digit at the one's place in the result.
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Hep me please i would really appreciate it
Answer:
Part A: 4,300 ≥ 2500 + 0.12s
Part B: Less than or equal to $15,000
Part C: In the image
Step-by-step explanation:
For Part A: The total needs to be at least 4,300. So 4,300 is greater than or equal to how much she earns. 2,500 is the base pay, and it is added to 0.12s, which represents 12% of sales (s).
For Part B:
Using the inequality, solve for s
4,300 ≥ 2500 + 0.12s
Subtract 2500 from both sides
1800 ≥ 0.12s
Now divide both sides by 0.12 to isolate s
15000 ≥ s
So sales must be less than or equal to 15000.
Part C:
DUE IN 3 mins
C-9 at C= 16
Answer:
7
Step-by-step explanation:
plug 16 in for c so it's 16 -9 = 7
A boy drops his toy car from the top floor of his house. The time it takes for the toy to fall from a height of 13 feet is given by the equation
h=94−16t^2, where t is the time in seconds. Determine the time it takes the toy to fall to the bottom floor.
It takes the toy car 2.43 seconds to fall to the bottom floor, answer choice is B. 9/4 seconds, which is equal to 2.25 seconds.
Describe Equation?An equation is a mathematical statement that asserts that two expressions are equal. An equation consists of two sides, the left-hand side and the right-hand side, separated by an equal sign (=).
For example, 2x + 5 = 11 is an equation, where the left-hand side is 2x + 5 and the right-hand side is 11. This equation asserts that the expression 2x + 5 is equal to 11, and the value of x can be determined by solving for x.
Equations can be simple or complex, and they can involve one or more variables. They can also be linear or nonlinear, depending on the nature of the expressions involved.
Solving an equation involves finding the values of the variables that make the equation true. This may involve applying algebraic operations and simplification techniques to isolate the variable on one side of the equation.
Equations are used in many areas of mathematics, science, engineering, and economics, and they provide a powerful tool for modeling and analyzing real-world situations. They are also used extensively in computer programming and cryptography, where they play a critical role in the development of algorithms and data encryption methods.
We have the equation \(h = 94 - 16t^2\), where h is the height of the toy car in feet and t is the time in seconds.
When the toy car reaches the bottom floor, its height will be h = 0. So we can set the equation equal to 0 and solve for t:
\(0 = 94 - 16t^216t^2 = 94t^2 = 94/16\)
\(t = \sqrt{(94/16)} = \sqrt{(23.5/4)} = 2.43 seconds\) (rounded to two decimal places)
Therefore, it takes the toy car 2.43 seconds to fall to the bottom floor.
The closest answer choice is B. 9/4 seconds, which is equal to 2.25 seconds.
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What is the solution to the equation -0.2(x - 20) = 44 - x? x = -90 x = 50 x = -50 x = 90
Answer:
x= 50
Step-by-step explanation:
First, simplify the equation
Expand the terms on the left hand side to make it easier to rearrange
-0.2(x-20) =44-x
-0.2x+4 =44-x
Rearrange the equation by moving the numbers to one side and the variables to the other
-0.2x +x= 44-4
0.8x = 40
Isolate for x
x= 40/0.8
x= 50
Alice, Bob, and Carmen are three recent graduates of the ASU Engineering program who are now gainfully employed. They tell you their salaries; from this data, you wish to determine whether the mean salary of recent graduates of the ASU Engineering program is above the national average. Match each of the following elements of this example with its correct name.
A. Alice's, Bob's, and Carmen's salaries
B. Salaries of recent graduates of the ASU Engineering program
C. A number computed from the average of Alice's, Bob's, and Carmen's salaries that helps us decide whether to reject the null hypothesis
Complete Question
Generally the complete question is shown on the first uploaded image
Answer:
A. Alice's, Bob's, and Carmen's salaries Sample
B Salaries of recent graduates of the ASU Engineering program Population
C A number computed from the average of Alice's, Bob's, and Carmen's salaries that helps us decide whether to reject the null hypothesis
P-value
Step-by-step explanation:
Considering A
The salaries of Alice, Bob, and Carmen are Samples because they are selected from a larger population (i.e the salaries of recent graduates of the ASU Engineering program)
Considering B
The salaries of recent graduates of the ASU Engineering program is the population because it is the entire pooled of data from which the samples are selected from
Considering
A number computed from the average of Alice's, Bob's, and Carmen's salaries that helps us decide whether to reject the null hypothesis is the P-value because the P-value is computed from the sample and it is use to make decision whether to reject or fail to reject the null hypothesis
(4,5) (0,8)
Slope intercept form
\((\stackrel{x_1}{4}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{8}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{8}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{0}-\underset{x_1}{4}}}\implies \cfrac{3}{-4}\implies -\cfrac{3}{4}\)
\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{-\cfrac{3}{4}}(x-\stackrel{x_1}{4}) \\\\\\ y-5=-\cfrac{3}{4}x+3\implies y=-\cfrac{3}{4}x+8\)
How often should you visit your courses
In D2L
It is recommended that you visit your courses on D2L frequently, ideally at least once a day, to stay up-to-date with any new announcements or assignments posted by your instructor. This will help you stay on track with your coursework and prevent you from falling behind. Additionally, regular visits to your courses can help you participate in discussions with your peers and ask questions if you are unsure about any of the material. It's important to remember that online learning requires a high level of self-discipline and responsibility, so making a habit of checking in on your courses regularly can contribute to your overall success in the class.
how can you use pythagora's theorem to solve problems involving right-angled triangles
Using Pythagorean theorem, the length of the ladder is 10ft
What is Pythagorean Theorem?In mathematical terms, if y and z are the lengths of the two shorter sides (also known as the legs) of a right triangle, and x is the length of the hypotenuse, the Pythagorean theorem can be expressed as:
x² = y² + z²
In the questions given, the only one we can use Pythagorean theorem to solve is the one with ladder since it's forms a right-angle triangle.
To calculate the length of the ladder, we can write the formula as;
x² = 8² + 6²
x² = 64 + 36
x² = 100
x = √100
x = 10
The length of the ladder is 10 feet
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I need help I can’t find the anwer please help
Answer:
You: 3, 6, 9, 12
Friend:4, 8, 12, 16
Step-by-step explanation:
You/Friend ratio is 3/4
Missing numbers:
8 / (4/3) = 612 * (4/3) = 16Numbers:
You 3, 6, 9, 12
Friend 4, 8, 12, 16
When x > 0 and y > 0, what expression is equivalent to √180x^9y^16 in simplest form?
Answer:
\(6x^4y^8\sqrt{5x}\)
Step-by-step explanation:
\(\textsf{When $x > 0$ and $y > 0$, we want to find the expression that is equivalent to}\) \(\sqrt{180x^9y^{16}}.\)
\(\textsf{First, apply the radical rule:} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}\)
\(\sqrt{180}\sqrt{x^9}\sqrt{y^{16}}\)
\(\textsf{Rewrite $x^9$ as $x^{8+1}$:}\)
\(\sqrt{180}\sqrt{x^{(8+1)}}\sqrt{y^{16}}\)
\(\textsf{Apply the exponent rule:} \quad a^{b+c}=a^b \cdot a^c\)
\(\sqrt{180}\sqrt{x^{8}\cdot x^1}\sqrt{y^{16}}\)
\(\sqrt{180}\sqrt{x^{8}}\sqrt{x}\sqrt{y^{16}}\)
\(\textsf{Apply\:the\:radical\:rule:\:}\sqrt[n]{a^m}=a^{\frac{m}{n}},\:\quad a\geq 0\)
\(\sqrt{180}\;x^{\frac{8}{2}}\sqrt{x}\;y^{\frac{16}{2}}\)
\(\sqrt{180}\;x^4\sqrt{x}\;y^8\)
\(\sqrt{180}\sqrt{x}\;x^4\;y^8\)
\(\textsf{Rewrite $180$ as $(6^2 \cdot 5)$:}\)
\(\sqrt{6^2 \cdot 5}\sqrt{x}\;x^4\;y^8\)
\(\textsf{Apply the radical rule:} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}\)
\(\sqrt{6^2} \sqrt{5}\sqrt{x}\;x^4\;y^8\)
\(\textsf{Apply the radical rule:} \quad \sqrt{a^2}=a, \quad a \geq 0\)
\(6 \sqrt{5}\sqrt{x}\;x^4\;y^8\)
\(\textsf{Apply the radical rule:} \quad \sqrt{a}\sqrt{b}=\sqrt{ab}\)
\(6 \sqrt{5x}\;x^4\;y^8\)
\(\textsf{Rearrange:}\)
\(6x^4y^8\sqrt{5x}\)
\(\textsf{Therefore, when $x > 0$ and $y > 0$, the expression that is equivalent to}\)
\(\sqrt{180x^9y^{16}}\;\textsf{is}\;\;\boxed{6x^4y^8\sqrt{5x}}\:.\)
find the volume of the figure
Answer:
Step-by-step explanation:
base area=41.57 in²
height=9 in
volume=41.57×9=374.13 in³
Suppose you have two rectangular prisms with dimensions 2 feet by 3 feet by 5 feet. You want to join the prisms together to form a larger rectangular prism. Which faces should you join if you want to make a prism with the least possible surface area?
ind the equation of the line tangent to the graph of the given function at the point with the indicated x-coordinate.
f(x) = (x0.5 + 5)(x2 + x); x = 1
The equation of the line tangent to the curve is y = 19 · x - 7.
How to determine the equation of the line tangent to a curveIn this problem we need to find the equation of a line tangent to the function f(x) = (√x + 5) · (x² + x) for x = 1, that is, a line that only passes through one point of the entire curve. The equation of the line is introduced below:
y = m · x + b
Where:
m - Slopeb - InterceptThe slope of the line can be found by evaluating the first derivative of f(x) for x = 1:
f'(x) = (1 / 2√x) · (x² + x) + (√x + 5) · (2 · x + 1)
f'(1) = (1 / 2) · 2 + 6 · 3
f'(1) = 1 + 18
f'(1) = 19
The y-coordinate of the curve is:
f(1) = (√1 + 5) · (1² + 1)
f(1) = 6 · 2
f(1) = 12
Lastly, we determine the intercept of the tangent line:
b = y - m · x
b = 12 - 19 · 1
b = - 7
The equation of the line tangent to the curve is y = 19 · x - 7.
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Two and three fifths plus one and three fifths
Answer:
2 3 + 1 3 = 3/5 + 3/5 = 1 1/5 + 2+1 = 3 + 1 !/5 = 4 1/5
5 5
Step-by-step explanation: The Slashes mean The number bellow
Please make this answer Brainlist...
If the price of heating oil rises from $1.90 to 2.10 per gallon, the quantity of heating oil demanded will
Answer:
Decrease
Step-by-step explanation:
A board that is 6.5 feet long has a section cut off that is 3.8 feet long. How much of the board is left?
I am not too sure but i think it is 2.7 feet.
Bob dio cuatro quintos de sus lapices a barbara, luego dio dos tercios de los lapices restantes a bonnie, si termino con 10 lapices para el... ¿ cuantos lapices tenia bob al principio?
Bob had 50 pencils in the beginning.
How is a fractional number expressed?A fractional number is expressed in the form -
x/y {where y ≠ 0)
Given is that Bob gave four - fifths of his pencils to Barbara, then he gave two - thirds of the remaining pencils to bonnie.
Assume that he had {x} pencils in the beginning. We can write -
4x/5 + 2/3(x - 4x/5) = 10
4x/5 + 2x/3 - 8x/15 = 10
x(4/5 + 2/3 - 8/15) = 10
x = 10/0.93
x = 50
Therefore, Bob had 50 pencils in the beginning.
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{QUESTION IN ENGLISH -
Bob gave four fifths of his pencils to Barbara, then he gave two thirds of the remaining pencils to bonnie, if he ended up with 10 pencils for himself... how many pencils did bob have at the beginning?}
Slope and Y-InterceptTickets to a concert cost 12$ teacher plus a 4$ processing feem=b=
Given :
Tickets to a concert cost 12$ each plus a 4$ processing fee
so, the slope = $12 ( the cost for each )
And the y - intercept = $4 ( will paid one time )
So, the answer is :
\(\begin{gathered} m=12 \\ b=4 \end{gathered}\)Zak wants to work out the area of this triangle.
14 cm
8 cm
- 12 cm
Here is his working.
12 x 8 = 96 cm
What is wrong with his method?
a map has a scale of 2in: 6mi. if a two twons on a map is 10 in apart then how far apart are the real twons
Answer: 30 miles
Work Shown:
2 in : 6 mi
5*2 in : 5*6 mi
10 in : 30 mi
Find the perimeter of the trapezoid.
16
7
5
4
20
Plz plz help
Answer:
48
Step-by-step explanation:
7+16+5+20=48
A national grocery store chain designed a study to determine whether its customers would be interested in home delivery. The
chain randomly surveyed 1,000 customers from around the country. It concluded from the study that 80% of all customers who
hopped in the chain's stores were interested in the service. What is the sample in the study?
The group of people who participated in the study's sample survey was chosen at random to participate in it by the national grocery store chain. In this instance, the sample comprises the 1,000 customers from throughout the nation that participated in the survey. They are a segment of the total consumer base that frequents the chain's retail outlets.
The chain randomly surveyed 1,000 customers from around the country. It concluded from the study that 80% of all customers who hopped into the chain's stores were interested in the service. The nationwide grocery store chain randomly selected the participants in the study's sample survey from the general public.
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✔✔
PLEASE HELP
BE CORRECT BEFORE ANSWERING PLEASE
Answer:
1.an equilateral triangle is never similar to a scalene triangle.
2. because we can never map one onto the other using only dilations and rigid transformations.
This is because an equilateral triangle has all equal sides and the same angle measures, and a scalene triangle's sides are all different measures and the angles don't measure the same angle.
1
4
(
8
−
6
x
+
12
)
?
1
4
(
8
−
6
x
+
12
)
?
A.
7
2
x
7
2
x
B.
−
13
2
x
−
13
2
x
C.
−
6
x
+
14
−
6
x
+
14
D.
−
3
2
x
+
5
The equivalent expression is 5 - 3x/2. Option D
What are algebraic expressions?Algebraic expressions are described as expressions that are made up of variables, their coefficients, factors and constants.
these algebraic expressions are also composed of mathematical operations. These operations includes;
BracketParenthesesSubtractionMultiplicationDivisionAdditionFrom the information given, we have that;
1/ 4(8 - 6x + 12)
expand the bracket, we have;
Add the like terms
1/4(20 - 6x)
now, multiply the values, we have;
20 - 6x/4
Divide by the denominator
5 - 3x/2
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The complete question:
Simply the expression:
1/ 4(8 - 6x + 12)