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How to get this answer:
Midpoint formula: (A+B)/2 = C
A and B are the endpoints with C as the midpoint
A = 7/8
B = 6/7
A+B = 7/8 + 6/7
A+B = 49/56 + 48/56
A+B = (49+48)/56
A+B = 97/56
(A+B)/2 = (97/56) divided by 2
(A+B)/2 = (97/56) times (1/2)
(A+B)/2 = (97*1)/(56*2)
(A+B)/2 = 97/112
Triangle A B C is shown. Angle B C A is a right angle. The length of hypotenuse A B is 5, the length of B C is 3, and the length of A C is 4. What is the length of the side opposite Angle B? 3 units 4 units 5 units 6 units
The side opposite to angle B is the side that does not contact with angle B.
In this attached image, you can see better that sides AB and BC is in contact with angle B. So, the opposite side to angle B is AC.
Therefore, the lenght of the side opposite to angle B is 4 units.
Answer:
B 4Units
Step-by-step explanation:
Edg 2020 or maybe 2022
Simplify the expression ( √3+i) + (√5-2i) and write the result in a+bi.
Answer:
c. (√3 + √5) - i
Step-by-step explanation:
(√3+i) + (√5-2i) = √3+i + √5-2i = (√3 + √5) + (i - 2i) = (√3 + √5) - i
15. Over what range of angles does the value of sin(O) consistently increase?
A. 45° to 135°
B. 90° to 180°
C. 0° to 180°
D. 0° to 90°
Answer:
D. 0° to 90°
Step-by-step explanation:
If we see curve of sin(o) on coordinate, we will notice that value of sin curve increases from 0 to 90 degrees and then decreases from 90 to 180 degrees.
Hence option D is correct.
Alternatively
we see that
sin 0 = 0
sin 30 = 1/2
sin 45 = 1/[tex]\sqrt{2}[/tex]
sin 60 = [tex]\sqrt{3} /2[/tex]
sin 90 = 1
Thus, we see that value of sin is increasing from 0 to 90
now lets see value of sin from 90 to 180
sin 90 = 1
sin 120 = [tex]\sqrt{3} /2[/tex]
sin 135 = 1/[tex]\sqrt{2}[/tex]
sin 150 = 1/2
sin 180 = 0
Thus, we see that value of sin is decreasing from 90 to 180.
Jennifer and Stella are cooks at a restaurant that serves breakfast. On a particular day, the two of them tracked the number of pancakes they cooked. The number of pancakes that Jennifer cooked is represented by the following function, where x is the number of hours. The number of pancakes that Stella cooked is shown by the graph below. Who cooked more pancakes in 8 hours?
Answer:
Stella
Step-by-step explanation:
I guessed and got it right
What are the solutions to log (x2+8)= 1 +log (x)?
Answer:
Step-by-step explanation:
log(x²+8)=1+log(x)
log(x²+8)-log(x)=1
[tex]log\frac{x^2+8}{x} =1\\\frac{x^2+8}{x} =10^1\\x^2+8=10x\\x^2-10x+8=0\\x=\frac{10 \pm \sqrt{(-10)^2-4*1*8} }{2} \\=\frac{10 \pm \sqrt{100-32} }{2} \\=\frac{10 \pm \sqrt{68} }{2} \\=\frac{10 \pm 2\sqrt{17} }{2} \\=5 \pm \sqrt{17}[/tex]
Solve for k. -21 -3 21
Answer:
k = -21
Step-by-step explanation:
9/ (2k-3) = 4/(k+1)
Using cross products
9 * (k+1) = 4(2k-3)
Distribute
9k+9 = 8k -12
Subtract 8k from each side
9k-8k +9 = 8k-8k-12
k+9 = -12
Subtract 9 from each side
k+9-9 = -12-9
k = -21
Answer:
[tex]\huge\boxed{k=21}[/tex]
Step-by-step explanation:
[tex]\dfrac{9}{2k-3}=\dfrac{4}{k+1}[/tex]
First step:
Find domain.
We know: the denominator must be different than 0.
Therefore we have:
[tex]2k-3\neq0\ \wedge\ k+1[/tex]
[tex]2k-3\neq0\qquad\text{add 3 to both sides}\\2k\neq3\qquad\text{divide both sides by 2}\\\boxed{k\neq1.5}\\\\k+1\neq0\qquad\text{subtract 1 from both sides}\\\boxed{k\neq-1}\\\\\text{Domain:}\ x\in\mathbb{R}\backslash\{-1;\ 1.5\}[/tex]
Second step:
Solve for k.
[tex]\dfrac{9}{2k-3}=\dfrac{4}{k+1}\qquad\text{cross multiply}\\\\9(k+1)=4(2k-3)\qquad\text{use the distributive property}:\ a(b+c)=ab+ac\\\\(9)(k)+(9)(1)=(4)(2k)-(4)(3)\\\\9k+9=8k-12\qquad\text{subtract 9 from both sides}\\\\9k=8k-21\qquad\text{subtract}\ 8k\ \text{from both sides}\\\\\boxed{k=21}\in\text{Domain}[/tex]
Laura tiene las tres séptimas partes de la edad de su mamá dentro de 5 años la edad de su mamá será el doble que la edad de ella ¿Cuántos años tiene cada una?
Answer:
Laura tiene 15 años mientras que su madre tiene 35 años.
Step-by-step explanation:
Deje que la edad de Laura sea L.
Deje que la edad de su madre sea m.
Tiene 3/7 de la edad de su madre:
L = 3 m / 7
En 5 años, la edad de su madre será el doble de su edad:
(m + 5) = 2 (L + 5)
m + 5 = 2L + 10
m - 2L = 5
Pon el valor de L:
m - 2 (3 m / 7) = 5
m - 6 m / 7 = 5
Multiplica por 7:
7m - 6m = 35
m = 35 años
=> L = 3 * 35/7 = 15 años
Laura tiene 15 años mientras que su madre tiene 35 años.
I need help on a question real quick
Answer:
4x-3y
Step-by-step explanation:
Raymond wanted to buy 8 t-shirt but he was short of $8.10. instead he bought 5 T-shirt and had $12.60 left. how much would he need to pay for 20 t-shirt?
Answer:
$138
Step-by-step explanation:
Let the money with Raymond be $y
Let the cost of 1 tshirt be $x
then cost of 8 tshirt = cost of 1 t-shirt*8 = 8x
Raymond wanted to buy 8 t-shirt but he was short of $8.10
It means that 8x is equal to money he had plus $8.10
thus,
y + 8.10 = 8x
y = 8x - 8.10
Next situation
cost of 5 t-shirt = 5x
. instead he bought 5 T-shirt and had $12.60 left,
it means cost of 5 T-shirt plus $12.60 = total money Raymond had
y = 5x + 12.60
comparing y in both the equation
y = 8x - 8.10 and y = 8x - 8.10
5x + 12.60 = 8x - 8.10
=> 8x-5x = 12.60+8.10
=> 3x = 20.70
=> x = 20.70/3 = 6.9
Thus, cost of 1 T-shirt = $6.9
cost of 20 T-shirt = 20*$6.9 = $138 (Answer)
What is the slope of this line?
Answer:
3/2
Step-by-step explanation:
We can find the slope of this line by using two points
(1,-3) and (3,0)
m = (y2-y1)/(x2-x1)
= (0- -3)/(3 -1)
= (0+3)/(3-1)
= 3/2
find the sum of these polynomials. (5x^2-4x+2)+(3x^2+9x-8)=? A. 8x^2-5x+10 B. 8x^2+5x-6 C. 8x^2-5x-6 D. 8x^2+5x+10
Answer:
B: 8x^2+5x-6
Step-by-step explanation:
Which of the binomials below is a factor of this trinomial?
x² + 3x - 4
Answer:
(x+4) or (x-1)
Step-by-step explanation:
Do this by factoring out your equation. To do this, think about which two numbers multiply to be -4 but also add up to be 3 (the -4 came from multiplying the first value (the 1 that is attached to the [tex]x^{2}[/tex]) and the last value, which is -4. The 3 came from the middle term).
The two numbers you should have gotten are 4 and -1. Therefore, (x+4) and (x-1) are both of the binomials that could be your answer
Brandon bought a book that originally sold for $18 on sale for 30% off. He paid a sales tax of 8%.
To the nearest cent, what was the total cost of the book?
Answer:
$13.61
Step-by-step explanation:
$18 * 70% = $12.60
$12.60 * 1.08 = $13.61
How many 3-digit numbers can be formed if repetition is
allowed?
Answer: up to 999
Step-by-step explanation: Now, if you consider repetition allowed, all the numbers from 100 to 999 are 3 digit numbers. How many numbers are formed ? count numbers starting from 100 up to 999. Hence, 900 numbers are formed.
Please I am in need of help if you go solve all my questions o will mark brainliest
Answer:
top left
Step-by-step explanation:
Consider finding points on the graph using the equation.
x = 0 : f(0) = [tex]0.5^{0}[/tex] + 4 = 1 + 4 = 5 ← y- intercept
Since y- intercept is 5, this excludes the lower 2 graphs, which have y- intercepts of 1
x = 1 : f(1) = [tex]0.5^{1}[/tex] + 4 = 0.5 + 4 = 4.5 ⇒ (1, 4.5 )
x = - 1 : f(- 1) = [tex]0.5^{-1}[/tex] + 4 = [tex]\frac{1}{0.5}[/tex] + 4 = 2 + 4 = 6 ⇒ (1, 6 )
These points lie on the top left graph
I needed help with question #29. Thank you. Sorry the picture is a bit blurry.
Answer:
1.3 in
Step-by-step explanation:
If 0.75 is 0.55 less than the average amount, the answer must be 0.75 + 0.55 = 1.3 inches.
Answer:
1.3 in
Step-by-step explanation:
Find the inverse of the function Find the inverse of the function f(x)=2x-4
Step-by-step explanation:
firstly suppose f(X) as y and later interchange it with x and solve it to get inverse function of x.
The inverse of the given function is [tex]f^{-1}(x)=\dfrac{x+4}{2}[/tex].
Important information:
The given function is [tex]f(x)=2x-4[/tex].We need to find the inverse of the given function.
Inverse of a function:Substitute [tex]f(x)=y[/tex].
[tex]y=2x-4[/tex]
Interchange [tex]x[/tex] and [tex]y[/tex].
[tex]x=2y-4[/tex]
Isolate [tex]y[/tex].
[tex]x+4=2y[/tex]
[tex]\dfrac{x+4}{2}=y[/tex]
Substitute [tex]y=f^{-1}(x)[/tex].
[tex]\dfrac{x+4}{2}=f^{-1}(x)[/tex]
Thus, the inverse of the given function is [tex]f^{-1}(x)=\dfrac{x+4}{2}[/tex].
Find out more about 'Inverse of a function' here:
https://brainly.com/question/11926240
I NEED HELP PLEASE, THANKS! :)
Find the sum of the first 5 terms of the geometric series. 8 – 16 + 32 – ... 87
86
88
89
Answer: c) 88
Step-by-step explanation:
8, -16, 32, ...
We can see that each previous term is multiplied by -2
so the next two terms will be 32(-2) = -64 and -64(-2) = 128
So the first 5 terms of the sequence is: 8, -16, 32, -64, 128
Add the positive numbers and the negative numbers, then find their sum.
8 + 32 + 128 = 168
-16 + (-64) = -80
Sum = 88
what is the median price of rent for the university of oregon
Answer:
$11,450
Step-by-step explanation:
thats the median price according to Google
Find the volume. Round to the nearest hundredth if necessary.
9 yd
4 yd
2 yd
3 yd
7 yd
O 32 yd
O 22 yd
48 yd
29 yd
36 yd
Answer:
36 yd³
Step-by-step explanation:
The above solid shape given is a triangular prism.
The volume of triangular prism is given as ½ × base length of the triangle (b) × height of the triangle (h) × the length of the prism (l)
Base length of triangle (b) = 9 yd
Height of the triangle (h) = 2 yd
Length of the prism (l) = 4 yd
Volume = ½bhl
Volume = ½*9*2*4
Volume = 9*4
Volume of prism = 36 yd³
Sum of two numbers is 20 their difference is 118
Answer:
a = first number
b = second number
"The sum of two numbers is 20."
a + b = 20
"[The difference of two numbers] is 118."
a - b = 118
Add the two equations together:
(a + b) + (a - b) = 20 + 118
Simply and solve:
2a = 138
a = 69
Use one of the above equations to solve for the second number.
a + b = 20
a = 69
69 + b = 20
b = -49
HOPE THIS HELPS AND PLSSS PLSSS MARK AS BRAINLIEST
THNXX :)
The weights of college football players are normally distributed with a mean of 200 pounds and a standard deviation of 50 pounds. If a college football player is randomly selected, find the probability that he weighs between 170 and 220 pounds. Round to four decimal places.
Answer:
0.3811 = 38.11% probability that he weighs between 170 and 220 pounds.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 200, \sigma = 50[/tex]
Find the probability that he weighs between 170 and 220 pounds.
This is the pvalue of Z when X = 220 subtracted by the pvalue of Z when X = 170.
X = 220
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{220 - 200}{50}[/tex]
[tex]Z = 0.4[/tex]
[tex]Z = 0.4[/tex] has a pvalue of 0.6554
X = 170
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{170 - 200}{50}[/tex]
[tex]Z = -0.6[/tex]
[tex]Z = -0.6[/tex] has a pvalue of 0.2743
0.6554 - 0.2743 = 0.3811
0.3811 = 38.11% probability that he weighs between 170 and 220 pounds.
Describe the possible echelon forms of a nonzero 2 x 2 matrix.
Answer:
we approach the issue by taking note of that a 2 x 2 matrix can either have 1 0r 2 pivot columns. If the matrix has no pivot columns then every entry in the matrix must be zero.
-> if our matrix has two pivot columns then : [tex]\left(\begin{array}{rr}-&*&0&-\end{array}\right)[/tex]
-> if our matrix has one pivot column then we have a choice to make. If the first column is pivot column then: [tex]\left(\begin{array}{rr}-&*&0&0\end{array}\right)[/tex]
->otherwise, if the pivot column is the second column then: [tex]\left(\begin{array}{rr}0&-&0&0\end{array}\right)[/tex]
Mindy is 36 years old. Mindy's age is 3 years older than two times Jake's age. Let j represent Jake's age.
Answer:
36 = 2j + 3
This should be the correct answer to your question
PLease rate and mark brainliac if this helped
Eight times the difference between a number and six is equal to four times the number. What’s the number?
Answer:
12
Step-by-step explanation:
Given:
Let the number be x.
According to the question,
8(x-6)= 4 x
8 x-48=4 x
8 x-4 x= 48
4 x=48
x=48/4
x=12
Thank you!
Fill in the blanks. The margin of error ________ with an increased sample size and ________ with an increase in confidence level.
Answer:
none none and none
Step-by-step explanation:
What is the simplified form of the inequality below? S - 7 < 3
Answer:
s-7<3
in order to find the value adding 7 on both sides
s-7+7<3+7
s<10
Step-by-step explanation:
i hope this will help you :)
Answer:
s-7<3
in order to find the value adding 7 on both sides
s-7+7<3+7
s<10
Step-by-step explanation:
The total number of students enrolled in MATH 123 this semester is 5,780. If it
increases by 0.35% for the next semester, what will be the enrollment next
semester? Round to a whole person.
Answer:
5,800 people
Step-by-step explanation:
We can find the enrollment for next semester by multiplying:
5,780(1.0035) = 5,800.23
We can round this to 5,800 people.
In Las Vegas, the hottest recorded temperature is 47°C, and the lowest recorded temperature is -13°C. What is the difference between the city's highest and lowest recorded temperatures?
The difference between the citys highest and lowest recorded temperatures is 60°.
Two spheres of the same outer diameter, one solid and the other hollow, are completely immersed in the water. We can affirm:
a) The hollow receives less push
b) The hollow receives more push
c) Both receive the same push
d) The solid receives less push
Answer:
c) Both receive the same push
Step-by-step explanation:
The buoyancy force is equal to the weight of the displaced fluid:
B = ρVg
where ρ is the density of the water, V is the volume of displaced water, and g is the acceleration due to gravity.
Since both spheres displace the same amount of water, they have equal buoyancy forces.