Answer:
5050
Step-by-step explanation:
Ace here!
So, you could go through and add up everything but that takes a while, and there's a much easier way to do this. Let's write a rough sample of the numbers.
1, 2, 3, 4, 5....96, 97, 98, 99, 100.
Now, let's look at these numbers. Notice how if we add the two numbers on the leftmost and the rightmost, we get 101 (1+100). Now, we do 1 from the left added on to one from the right, and get 101(2+99). Then, we can follow that pattern and do 3+98=101, 4+97=101, and as long as we follow that pattern, we keep getting 101 as our answer.
Now, if we keep going with this, eventually we will get to 48+53, 49+52, 50+51.
If we supposedly counted all these pairs, we would find we have 50 pairs. But a quick way to check is to just divide 100 by 2 (100/2) and we get 50.
Now, we have 50 pairs that add up to 101. So, that would be 101 added to itself 50 times, which is just multiplication. 101 × 50 which is 5050.
I hope this helped. Let me know if you have any questions.
how to find the area of a circle with the diameter 21
Answer:
A ≈ 346.36
Step-by-step explanation:
To find the answer, you must use the formula, A=πr²
Since only the diameter was provided, you need to divide it by 2 to find the radius. 21 divided by 2 equals 10.5, so that will be your radius.
Another formula that can be used while using only the diameter would be A= 1/4 π d²
Find the inner product for (4,8) (6,-3) and state whether the vectors are perpendicular.
Answer:
[tex] = \binom{4}{8} . \binom{6}{ - 3} \\ = (4 \times 6) + (8 \times - 3) \\ 24 + ( - 24) \\ = 0 \\ since \: inner \: product \: is \: zero : \\ the \: vectors \: are \: perpendicular[/tex]
Answer:
0
The vectors are perpendicular
Step-by-step explanation:
(4,8) (6,-3)
The inner product is also known as the dot product
4*6 + 8*-3 = 24-24 = 0
The vectors are perpendicular since the dot product is zero
show how to solve 1/4 (4 + x) = 4/3
pls solve for 2 brainliest
Find the Value of x from the angles
[tex]\sf \bf {\boxed {\mathbb {TO\:FIND:}}}[/tex]
The value of [tex]x°[/tex].
[tex]\sf \bf {\boxed {\mathbb {SOLUTION :}}}[/tex]
[tex]\longrightarrow{\blue{ x°\:=\:35° }}[/tex]
[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:EXPLANATION:}}}[/tex]
We know that,
[tex]\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}[/tex]
➪ [tex]x°[/tex] + 125° + 20° = 180°
➪ [tex]x°[/tex] + 145° = 180°
➪ [tex]x°[/tex] = 180° - 145°
➪ [tex]x°[/tex] = 35°
Therefore, the value of [tex]x°[/tex] is 35°.
Now, the three angles of the triangle are 35°, 125° and 20°.
[tex]\sf \bf {\boxed {\mathbb {TO\:VERIFY:}}}[/tex]
✒ 35° + 125° + 20° = 180°
✒ 180° = 180°
✒ L. H. S. = R. H. S.
Hence verified.
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{ヅ}}}}}[/tex]
4x-2 3x+14 how do I find x?
Answer:
x = 16
Step-by-step explanation:
4x - 2 = 3x + 14
4x - 2 + 2 = 3x + 14 + 2
4x = 3x + 16
4x - 3x = 3x - 3x + 16
x = 16
if arc QR=3x+38 degrees , arc PS=5x-10 degrees ,and
Answer:
Arc QR = 111.5°
Step-by-step explanation:
Given:
Arc QR = (3x + 38)°
Arc PS = (5x - 10)°
m<QMP = 68°
Required:
Measure of arc QR
Solution:
Recall: Angles of intersecting chords theorem states that the angle formed equals half of the sum of the intercepted arcs
This by implication means:
m<1 = ½(arc QR + arc PS)
We are given arc QR, and arc PS.
m<1 = 180° - m<QMP (angles on a straight line)
m<1 = 180° - 68°
m<1 = 112°
Plug in the values into the equation and solve for x
112° = ½(3x + 38 + 5x - 10)
Multiply both sides by 2
2*112 = 3x + 38 + 5x - 10
224 = 3x + 38 + 5x - 10
Add like terms
224 = 8x + 28
224 - 28 = 8x + 28 - 28
196 = 8x
196/8 = 8x/8
24.5 = x
x = 24.5
✅Let's find arc QR
Arc QR = (3x + 38)°
Plug in the value of x
Arc QR = 3(24.5) + 38 = 73.5 + 38
Arc QR = 111.5°
A laptop company claims up to 8.1 hours of wireless web usage for its newest laptop battery life. However, reviews on this laptop shows many complaints about low battery life. A survey on battery life reported by customers shows that it follows a normal distribution with mean 7.5 hours and standard deviation 27 minutes. (a) What is the probability that the battery life is at least 8.1 hours
Answer:
0.0918 = 9.18% probability that the battery life is at least 8.1 hours.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean 7.5 hours
This means that [tex]\mu = 7.5[/tex]
Standard deviation 27 minutes.
An hour has 60 minutes, which means that [tex]\sigma = \frac{27}{60} = 0.45[/tex]
What is the probability that the battery life is at least 8.1 hours?
This is 1 subtracted by the p-value of Z when X = 8.1. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{8.1 - 7.5}{0.45}[/tex]
[tex]Z = 1.33[/tex]
[tex]Z = 1.33[/tex] has a p-value of 0.9082.
1 - 0.9082 = 0.0918
0.0918 = 9.18% probability that the battery life is at least 8.1 hours.
Find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the given interval.
f(x) = x^7, [0, 7]
GIVEN: The given function is f(x)=[tex]x^7[/tex] on the interval [0,7]
To FIND: Here we need to find the value of c by the help of Mean value theorem.
SOLUTION: The mean value theorem is,
[tex]f'(c)=\frac{f(b)-f(a)}{b-a}[/tex]
where, f(x) is defined on a closed interval [0,7] and continuous on the closed [0,7] and derivable on (0,7) and a<c<b,
So, [tex]f'(x)=7x^6[/tex]
By the mean value theorem we have,
[tex]7c^6=\frac{7^7-0}{7-0} \\7c^6=7^6\\c^6=7^5\\c=\sqrt[6]{7^5} \\c=5.077[/tex]
Therefore, the required value of c is 5.077
The symbols for elements with accepted names Group of answer choices consist of a single capital letter consist of a capital letter and a small letter consist of either a single capital letter or a capital letter and a small letter no answer is correct
Answer:
consist of either a single capital letter or a capital letter and a small letter.
Step-by-step explanation:
A chemical reaction can be defined as a reaction in which two or more atoms of a chemical element react to form a chemical compound.
In Chemistry, a chemical element can be defined as any pure substance that is typically made up of only atoms and cannot be broken down into simpler substances through chemical processes. Thus, the atomic number (the number of protons in the nuclei of an atom) of a particular chemical element distinguishes from other chemical elements.
Generally, all chemical elements are denoted or represented by a symbol, which may either be single capital letter or a capital letter and a small letter.
This ultimately implies that, the symbols for elements with accepted names consist of either a single capital letter or a capital letter and a small letter. For example, the symbol for sodium is Na, copper is Cu, carbon is C, oxygen is O, iron is Fe, nitrogen is N, magnesium is Mg, potassium is K, argon is Ag, hydrogen is H, helium is He, phosphorus is P, etc.
The equation of the graphed line is x+2y=5. What is the x-intercept of the graph?
A coordinate plane with a line passing through (negative 5, 5) and (5, 0).
2
2.5
5
5.5
Answer:
5 is the answer. hhhjjh y fl jj g gshwhwjqjajajw
Answer:
c
Step-by-step explanation:
it's 5
suppose the linear regression line y= 3.009x - 77.131 predicts a pizza parlors profits based on the number of pizza sold if x represents the number of pizza sold, and y represents the pizza par;ors profits in dolloars about how much can the pizza parlor expect in profits if it sells 275 pizzas
Answer:
$750 dollars
Step-by-step explanation:
Y = 3.009(275) - 77.131
Y = 827.475-77.131
Y = 750.344
Exponential Growth
You are a financial advisor You have a client who is 25 years old and has $10,000 they want to invest into a retirement account. After investing this money, the client will not be adding any money to the account. The money will just let it grow until the client reaches age 65 As you are helping them decide the best investment for their money, you discover the following options.
I also need account C and account D
help me please
Answer:
compounded daily as this added up would be the best
Step-by-step explanation:
Suppose that for a certain company C(x)=35x+300,000 represents the total cost function, and R(x)=75x represents the total revenue function. Find the total-profit function and break-even point.
Which of the following functions represents the total-profit function?
A) 40x-300,000
B) 40x+300,000
C) 110x+300,000
Answer:
40x - 300,000
7,500
Step-by-step explanation:
profit = revenue - cost
p(x) = 75x - (35x + 300,000)
p(x) = 40x - 300,000
Break even is when profit is zero
40x - 300,000 = 0
40x = 300,000
x = 7,500
The functions that represents the total-profit function would be p(x) = 40x - 300,000. so the correct option is A.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
Given that for a certain company C(x) =35x+300,000 represents; the total cost function, and R(x)=75x represents the total revenue function.
WE can calculate the profit by the following formula;
Profit = revenue - cost
p(x) = 75x - (35x + 300,000)
p(x) = 40x - 300,000
Now Break even is when profit is zero,
40x - 300,000 = 0
40x = 300,000
x = 7,500
Hence, the break-even point is 7500.
Therefore, the functions that represents the total-profit function would be p(x) = 40x - 300,000. so the correct option is A.
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David and Peter had $90 and $200 respectively. They were each given an equal amount of money. Then Peter had twice as much money as David. How much money did each boy receive?
D(p) is the price, in dollars per unit, that consumers are willing to pay for p units of an item, and S(p) is the price, in dollars per unit, that producers are willing to accept for p units. Find the equilibrium point. D(p)=3500−20p, S(p)=2500+5p
What are the coordinates of the equilibrium point?
Answer:
(40,2700)
Step-by-step explanation:
Given
[tex]D(p)=3500-20p[/tex]
[tex]S(p)=2500+5p[/tex]
Required
The equilibrium point
To do this, we have:
[tex]D(p) = S(p)[/tex]
So, we have:
[tex]2500+5p = 3500-20p[/tex]
Collect like terms
[tex]20p+5p = 3500-2500[/tex]
[tex]25p = 1000[/tex]
Divide both sides by 25
[tex]p = 40[/tex]
Substitute [tex]p = 40[/tex] in [tex]D(p)=3500-20p[/tex]
[tex]D(40) = 3500 - 20 * 40[/tex]
[tex]D(40) = 2700[/tex]
Hence, the coordinates of the equilibrium is: (40,2700)
In a political science class, the teacher gives a midterm exam and a final. The association between midterm and final scores is linear. The summary statistics are shown below. Midterm Mean=75, Midterm Standard Deviation=10 Final Mean=75, Final Standard Deviation=10 r=0.8 According to the regression equation, for a student who gets 85 on the midterm (one standard deviation above average) what is the predicted final exam grade?
Answer:
The predicted final exam grade is 83
Step-by-step explanation:
Given
[tex]\bar x = 75[/tex] -- midterm mean
[tex]\sigma_x = 10[/tex] --- midterm standard deviation
[tex]\mu =75[/tex] --- final mean
[tex]\sigma = 10[/tex] --- final standard deviation
[tex]r = 0.8[/tex]
Required
The predicted final grade of student who score 85 in midterm
The prediction is represented as:
[tex]y = \alpha + \beta x[/tex]
Where:
[tex]\beta = r * \frac{\sigma}{\sigma_x}[/tex]
[tex]\beta = 0.8 * \frac{10}{10}[/tex]
[tex]\beta = 0.8 * 1[/tex]
[tex]\beta = 0.8[/tex]
and
[tex]\alpha = \mu - r * \bar x[/tex]
[tex]\alpha = 75- 0.8 * 75[/tex]
[tex]\alpha = 75- 60[/tex]
[tex]\alpha = 15[/tex]
So:
[tex]y = \alpha + \beta x[/tex]
[tex]y = 15 + 0.8x[/tex]
For a student who gets 85, the prediction is:
[tex]y = 15 + 0.8*85[/tex]
[tex]y = 15 + 68[/tex]
[tex]y = 83[/tex]
Please can someone answer quickly
Can anyone help me solve this
[tex]\longrightarrow{\green{ D. \:3 {a}^{4} \sqrt{2a} }}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] \sqrt{18 {a}^{9} } \\ \\ ➝ \: \sqrt{2 \times 3 \times 3 \times {a}^{9} } \\ \\ ➝ \: \sqrt{2 \times ({3})^{2} \times {( {a}^{4}) }^{2} a } \\ \\ [∵( { {a}^{4} )}^{2} a = {a}^{4 \times 2 + 1} = {a}^{9}] \\ \\ ➝ \: 3 \times {a}^{4} \sqrt{2a} \\ \\ ➝ \: 3 {a}^{4} \sqrt{2a} [/tex]
[tex]\pink{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35}}}}}[/tex]
Answer:
The answer is [tex]3a^{4}\sqrt{2a}[/tex]
Step-by-step explanation:
To simplify the radical, start by factoring 9 out of 18 for step 1. Next, for step 2, rewrite 9 as [tex]3^{2}[/tex]. Then, factor out [tex]a^{8}[/tex] for step 3. For step 4, rewrite [tex]a^{8}[/tex] as [tex](a^{4})^{2}[/tex]. Then, for step 5, move the 2 in the radical. Rewrite [tex]3^{2}(a^{4})^{2}[/tex]as [tex](3a^{4})^{2}[/tex] for step 6. Then, add parentheses to the radical for step 7. Finally, for step 8 pull the terms out from under the radical, and the answer is [tex]3a^{4}\sqrt{2a}[/tex].
Step 1: [tex]\sqrt{9(2)a^{9} }[/tex]
Step 2: [tex]\sqrt{3^{2}*2a^{9}[/tex]
Step 3: [tex]\sqrt{3^{2}*2(a^{8}a) }[/tex]
Step 4: [tex]\sqrt{3^{2}*2((a^{4})^{2}) }[/tex]
Step 5: [tex]\sqrt{3^{2}(a^{4})^{2}*2a }[/tex]
Step 6: [tex]\sqrt{(3a^{4} )^{2}*2a }[/tex]
Step 7: [tex]\sqrt{(3a^{4})^{2}*(2a) }[/tex]
Step 8: [tex]3a^{4}\sqrt{2a}[/tex]
A country's education department reported that in 2015, 70.8% of students enrolled in college or a trade school within 12 months of graduating high school. In 2017, a random sample of 154 individuals who graduated from high school 12 months prior was selected. From this sample, 94 students were found to be enrolled in college or a trade school. Complete parts a through c. a. Construct a 90% confidence interval to estimate the actual proportion of students enrolled in college or a trade school within 12 months of graduating from high school in 2017. and an upper limit of The confidence interval has a lower limit of (Round to three decimal places as needed.) ما
Answer:
The confidence interval has a lower limit of 0.546 and an upper limit of 0.675.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
In 2017, a random sample of 154 individuals who graduated from high school 12 months prior was selected. From this sample, 94 students were found to be enrolled in college or a trade school.
This means that [tex]n = 154, \pi = \frac{94}{154} = 0.6104[/tex]
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6104 - 1.645\sqrt{\frac{0.6104*0.3896}{154}} = 0.546[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6104 + 1.645\sqrt{\frac{0.6104*0.3896}{154}} = 0.675[/tex]
The confidence interval has a lower limit of 0.546 and an upper limit of 0.675.
Plzz help find the value of angle MHA and MHT
Answer:
Step-by-step explanation:
2x+11+6x-7=180 (being linear pair)
8x+4=180
8x=180-4
8x=176
x=176/8
x=22
MHA=2x+11
=2*22+11
=44+11
55
MHT=6x-7
=6*22-7
=132-7
=125
=
Answer:
2X+11+6X-7 =180
8X+4 =180
8X. =180-4
8X. =176
X. =22
MHA=2X+11
=44+11
=55
MHT=6X-7
=132-7
=125
Which expression gives the distance between the points
(-3, 4) and (6,-2)?
O A. (-3 - 4) * +(6+2)
O B. (-3-6)* + (4 +2)
O c. +(-3-6)* +(4+2) ?
O D. (-3 - 4) * +(6+2)
Answer:
C. sqrt((-3-6)² + (4+2)²)
Step-by-step explanation:
as we are using Pythagoras and asking for the distance as a side length (actually the Hypotenuse, the side opposite of the 90 degree angle) in a right-angled triangle, only an expression of a square root of a sum of squares can be right.
so, A and B are automatically out without even further analysis.
for the distance between 2 points on a coordination grid we build the mentioned right-angled triangle with the difference in x-direction as one side (e.g. "a"), the difference in y-direction as a second side (e.g. "b").
and the direct distance is then the Hypotenuse "c".
you remember Pythagoras :
c² = a² + b²
and therefore
c = sqrt(a² + b²)
in our example "a" is the difference between the 2 x-values.
a = (-3 - 6)
and "b" is the difference between the 2 y-values.
b = (4 - -2) = (4 + 2)
since we have to square them for the formula, the direction of what is subtracted from what is irrelevant, as the square of a negative value is also positive.
c = sqrt((-3 - 6)² + (4 + 2)²)
and that is answer option C
A bowl has the shape of a hemisphere whose diameter is 14 centimeters. If this bowl is filled with water, how many cubic centimeters will it take to fill the bowl
Answer:
The cubic centimeters of water it will take to fill the bowl is 718.67 cm³
Step-by-step explanation:
Given;
diameter of the hemisphere, d = 14 cm
radius of the hemisphere, r = d/2 = 14/2 = 7 cm
The volume of the hemisphere is calculated as;
[tex]V = \frac{2}{3} \pi r^3\\\\V = \frac{2}{3} \times \frac{22}{7} \times (7 \ cm)^3\\\\V = 718.67 \ cm^3[/tex]
The cubic centimeters of water it will take to fill the bowl is 718.67 cm³
There are 20 rows of seats on a concert hall: 25 seats are in the 1st row, 28 seats on the 2nd row, 31 seats on the third row, and so on. How many seats are in the last row?
Answer:
It is a sequence topic.
The general term of the sequence is 25+3(n-1) where n is the number of the term (here it is the row no.)
So the 20th term is the term with n=20. Substitute n=20 into the above general term, we will get 25+3(20-1) .
Please go on by yourself to work out the answer.
ow many three-letter "words" can be made from 8 letters "FGHIJKLM" if repetition of letters
Answer:
336
Step-by-step explanation:
A total of 512 possible words can be made.
What is a expression? What is a mathematical equation? What is Equation Modelling?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have a 8 letters word "FGHIJKLM"
Assume that there are [y] possible combinations. Then, the total number of [x] digit words that can be made are -
y = 8ˣ
y = 8ˣ
y = 8 x 8 x 8
y = 512
Therefore, a total of 512 possible words can be made.
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Really struggling and stressing out. Anyone mind helping?
Answer:
it should be 314.16, so I would choose 314
Consider this right triangle. What is the value of sin(B)?
Answer:
[tex] \frac{3}{5} [/tex]
Step-by-step explanation:
using SOHCAHTOA
[tex]sin = \frac{opposite}{hypoteneus} [/tex]
Therefore
[tex]sin = \frac{3}{5} [/tex]
The value of sin B is 3/5.
What is Trigonometry?Trigonometry is one of the branches of mathematics which deals with the relationship between the sides of a triangle (right triangle) with its angles. There are 6 trigonometric functions for which the relation between sides and angles are defined.
We have,
P = 3
B = 4
H = 5
Using Trigonometry
sin B = P /H
sin B = 3/5
Thus, the value of sin B is 3/5.
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PLEASE SHOW YOUR WORK !!
Answer:
30 % discount
Step-by-step explanation:
To find the percent discount
Original price minus new price
50 -35 = 15
Divide by original price
15/50 = .3
Change to percent form
.3 * 100 = 30 %
30 % discount
combine like terms to simplify the expression of -5.55-8.55c+4.35c
Answer:
-5.55-4.2c
Step-by-step explanation:
-5.55-8.55c+4.35c
-8.55c and 4.35c are like terms so you have to combine them.
-8.55c+4.35c=-4.2c
-5.55 is NOT a like term so it is on its own.
final answer -> -5.55-4.2c
*** don't forget -5.55 is negitive ***
hope this helped negative:)
Fill in the blank with the correct fraction. Make sure to express your answer in its simplest, most reduced form.
Answer:
3/4
Step-by-step explanation:
as 1 hour is 60 minutes, to express in fraction form, we have to divide.
so
45/60 can be simplified to 3/ 4 when 15 is taken out as common of both. so the answer is 3/4
Answer:
3/4
Step-by-step explanation:
1 hour= 60 minutes
45/60
simplify the fraction by dividing the numerator and denominator by 5
45÷5=9 and 60÷5=12
new fraction =9/12
simplify 9/12 by dividing the numerator and denominator by 3
9÷3=3 and 12÷3=4
Ans.=3/4
45 minutes is 3/4 of an hour
5. In the figure Find X (In the picture) (giving points to best answer/brainlest)
Answer:
x = 93
Step-by-step explanation:
*for angle labels, see picture below
Using angle addition postulate, we can say that angle EAC is the sum of angle CAB and angle BAE:
m<EAC = m<CAB + m<BAE
m<EAC = x + 39
Since line l and m are parallel, you can say that angle ACD is an alternate interior angle to angle EAC. This means they are equal.
Now, we can write an equation to solve for x:
m<EAC = m<ACD
x + 39 = 132
x = 93
Answer:
x=93°
Step-by-step explanation:
If l ıı m
l=180° ; 132°+?(y) =180° (Co-interior angle)
Find the value of y
132°+y=180°(Transpose)
y=180°-132°
y=48°
...
Find x
39°+x+48°=180°(Transpose)
x=180°-48°-39°
x=93°
