Answer:
5x / (x - 4)
Step-by-step explanation:
(x + 1)/(x - 4) • 5x/(x + 1)
Method 1:
Cancel out x + 1
Leaving 5x/(x - 4)
Method 2:
(x + 1)/(x - 4) • 5x/(x + 1)
Multiply numerator and denominator separately
= 5x(x + 1) / (x - 4)(x + 1)
Cancel out (x + 1) in the numerator and (x + 1) in the denominator
= 5x / (x - 4)
Therefore,
(x + 1)/(x - 4) • 5x/(x + 1) = 5x / (x - 4)
A positive real number is 5 more than another. When - 10 times the smaller is added to the square of the larger, the result is 57. Find the numbers.
Answer:
4√2 and 5+4√2
Step-by-step explanation:
Let the two numbers be x ad y
Smaller = y
Bigger = x
If a positive real number is 5 more than another, then;
x = 5 + y ... 1
When - 10 times the smaller is added to the square of the larger, the result is 57, then;
-10y + x² = 57 ...2
Substitute 1 into 2;
-10y + (5+y)² = 57
-10y + 25+10y+y² = 57
y²+25 = 57
y² = 57 - 25
y² = 32
y = √32
y = 4√2
Since x = 5 + y
x = 5 + 4√2
Hence rhe numbers are 4√2 and 5+4√2
A and B are independent events. P(A) = 0.80 and P(B) = 0.10.
What is P(A and B)?
Answer:
C 0.90
Step-by-step explanation:
Add 0.10 and 0.80=0.90
Answer:
D
Step-by-step explanation:
P(A and B)=P(A)×P(B)=0.80×0.10=0.08
Help is very much needed!!
Answer:
DE = 24
Step-by-step explanation:
The midsegment DE is half the length of the third side AC , that is
DE = [tex]\frac{1}{2}[/tex] AC = [tex]\frac{1}{2}[/tex] × 48 = 24
10) y=p+ar
Find y when p=-5,q=3 and r=-7.
y
Write p in terms of q, r and y.
Which function is increasing and has a domain of (1,∞ )
The graph of a square root function has a domain of (0, ∞) and range of [1, ∞).
Answer:
f(x)=log(x-1)+2
Step-by-step explanation:
I did the test on plato and got it right.
what are the adjectives in this sentence: the class cheered when Sonia had finished reading her funny poem.
There are four white socks and six black socks in a drawer what is the probability of selecting a white sock not replacing it and then selecting another white sock
Answer:
Step-by-step explanation:
Add all the socks in the drawer to get a denominator
12
blue socks can be picked out of the
36
total socks, so
12
36
Then you take away one sock from the top and bottom, so you now have
11
35
Multiply the two numerators (
12
and
11
), then multiply the denominators (
36
and
35
), then divide the numerator by the denominator,
132
1260
, to get your answer.
Answer:
6/10
Step-by-step explanation:
1st step: 4+6=10
find the radius of this circle.
Answer:
r = 5 units
Step-by-step explanation:
Given:
Angle subtended at the centre (∅) in radians = 2π/3
Arc length (S) = 10π/3
radius (r) = ?
Required:
Radius (r)
Solution:
Formula for arc length given the central angle in radians is:
S = r∅
Make e the subject of the formula by dividing both sides by ∅
S/∅ = r∅/∅
r = S/∅
Plug in the values
r = (10π/3) / (2π/3)
Change the operation sign to multiplication and turn the fraction by your right upside down
r = 10π/3 × 3/2π
r = (10π × 3)/(3 × 2π)
Cross out terms that can divided each other
r = 5
Can someone answer with steps and explanation? Thanks.
Answer:
A dilation by a factor of three about Point T followed by a translation of two units downwards.
Step-by-step explanation:
When transforming functions, we will reflect/dilate the figure first and then translate it. This is directly from the order of operations.
Since we are trying to determine the transformation that was performed, we can try to map ΔS'T'U' onto ΔSTU. We can start by translating the figure and then determining any reflections/dilations.
First, we can translate ΔS'T'U' up two units to map T' onto T. This is represented by the black triangle in the image below. Let the black triangle be ΔS''T''U''. (T'' and T are the same point.)
Next, notice that from Point T'' to U'', we move nine units right and six units up.
From Point T to Point U, we move three units right and two units up.
Likewise, from Point T'' to S'', we move six units left and nine units up.
From Point T to Point S, we move two units left and three units up.
Therefore, to map ΔS''T''U'' onto ΔSTU, we dilate ΔS''T''U'' about Point T by a factor of 1/3.
Hence, by reversing the transformations, to acquire ΔS'T'U', we can see that we will dilate ΔSTU by a factor of three about Point T and then a perform a translation of two units downwards.
I WILL MAKE YOUR ANSWER THE BRAINLIST MAKE SURE YOU ARE RIGHT
FIND THE VOLUME OF THE CONE
Answer:
301.59
Step-by-step explanation:
V=1/3hπr²
sorry in advance if its wrong, this is my 1st time answering this type of question. that's what i got for the answer
Intravenous fluid bags are filled by an automated filling machine. Assume that the fill volumes of the bags are independent, normal random variables with a standard deviation of 0.08 fluid ounces.
(a)What is the standard deviation of the average fill volume of 22 bags?
(b)The mean fill volume of the machine is 6.16 ounces, what is the probability that the average fill volume of 22 bags is below 5.95 ounces?
(c)What should the mean fill volume equal in order that the probability that the average of 22 bags is below 6.1 ounces is 0.001?
Answer:
a) 0.0171 fluid ounces.
b) 0% probability that the average fill volume of 22 bags is below 5.95 ounces
c) The mean should be of 6.153 fluid ounces.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
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.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Standard deviation of 0.08 fluid ounces.
This means that [tex]\sigma = 0.08[/tex]
(a)What is the standard deviation of the average fill volume of 22 bags?
This is s when n = 22. So
[tex]s = \frac{\sigma}{\sqrt{n}}[/tex]
[tex]s = \frac{0.08}{\sqrt{22}}[/tex]
[tex]s = 0.0171[/tex]
(b)The mean fill volume of the machine is 6.16 ounces, what is the probability that the average fill volume of 22 bags is below 5.95 ounces?
We have that [tex]\mu = 6.16[/tex]. The probability is the p-value of Z when X = 5.95. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{5.95 - 6.16}{0.0171}[/tex]
[tex]Z = -12.3[/tex]
[tex]Z = -12.3[/tex] has a p-value of 0.
0% probability that the average fill volume of 22 bags is below 5.95 ounces.
(c)What should the mean fill volume equal in order that the probability that the average of 22 bags is below 6.1 ounces is 0.001?
[tex]X = 6.1[/tex] should mean that Z has a p-value of 0.001, so Z = -3.09. Thus
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]-3.09 = \frac{6.1 - \mu}{0.0171}[/tex]
[tex]6.1 - \mu = -3.09*0.0171[/tex]
[tex]\mu = 6.153[/tex]
The mean should be of 6.153 fluid ounces.
Hello, I need help with this math problem please
Answer:
4c^2+7c-5=0
4c^2+7c=5
4c^2+7c=5
4c^2+7c-5=0\quad :\quad c=\frac{-7+\sqrt{129}}{8},\:c=\frac{-7-\sqrt{129}}{8}\quad \left(\mathrm{Decimal}:\quad c=0.54472\dots ,\:c=-2.29472\dots \right)
Hope This Helps!!!
Answer:
C) c = -7 ± √129 / 8
Step-by-step explanation:
x = (-b ± √ (b² – 4ac) ) / 2a
[quadratic formula]
where ax² + bx + c = 0.
[quadratic / square trinomial]
given 4c² + 7c – 5 = 0,
↓ ↓ ↓
a b c
where c = x,
c = (-b ± √ (b² – 4ac) ) / 2a.
c = (-(7) ± √ ((7)² – (4)(4)(-5)) ) / 2(4)
c = (-7 ± √ (49 – (-80)) ) / 8
c = (-7 ± √ (129) ) / 8
c = -7 ± √129 / 8
The initial number of views for a reader board is 25. The number of views is growing exponentially at a rate of 18% per week. What is the number of views expected to be four weeks from now?
Answer:
48
Step-by-step explanation:
n = 25(1.18)^4
n = 48.469444
Rounded to 48
Answer:
48 views.
Step-by-step explanation:
18% = 0.18 as a decimal fraction.
The increase in number of books per week is found by multiplying by 1.18.
The equation is an exponential one and is:
V = 25(1.18)^t where V = views and t = number of weeks.
So after 4 weeks :
V = 25 (1.18)^4
= 48.47
What is the slope of the line that passes through the points (-6, -2) and (2, -2)?
Answer:
0
Step-by-step explanation:
We can find the slope using the slope formula
m = ( y2-y1)/(x2-x1)
= ( -2 - -2)/(2 - -6)
= (-2+2)/(2 +6)
= 0/8
= 0
Answer:
Slope is 0
Step-by-step explanation:
Slope formula is (y2-y1)/(x2-x1)
-2 - (-2)/2 - (-6)
0/8
0
How much is six dimes, 8 nickels, and three one-dollar bills? *
Answer:
.60 + .40 + 3.00 = 4.00
Step-by-step explanation:
Answer:
$ 4
Step-by-step explanation:
six dimes (.10 each) = .60
8 nickels (.05 each)= .40
3 dollars (1.00 each) = 3.
Add together
Malachy rolls a fair dice 720 times.
How many times would Malachy expect to roll a five?
Answer:
120 times
Step-by-step explanation:
On a dice, there are 6 sides.
Since one of these sides is a 5, the chance of rolling a five is 1/6.
Find how many times Malachy can expect to roll a five by multiplying 720 by 1/6:
720(1/6)
= 120
So, Malachy can expect to roll a five 120 times
Please help meee! I'll make you brainliest or anything you want I swear! I'm desperate
Your neighbor is putting in a small square deck with side length x+4, as pictured below, where x is measured in feet. (x + 4) (x + 4) Part A Write a polymonial in standard form that represents the area of the deck Part B. Write an expression for the cost of the lumber for the top of the deck if the lumber costs $5 per square foot. Part C. If x = 3 feet what will be the cost of lumber for the top of the deck?
Please help meee! I'll make you brainliest or anything you want I swear! I'm desperate
Pineapples are sold at 'd' cents per pound. The total weight of 3 pineapples
is 5 pounds. What is the average cost of 1 pineapple?
Answer:
(5/3)d cents exact
1.67d cents decimal approximation
Step-by-step explanation:
Average weight
5pounds/3pineapples = (5/3) pounds/pineapple
Cost of 1 pineapple
(5/3) pounds * dcents/pound
(5/3)d cents exact
1.67d cents decimal approximation
One evening Papa John’s sold a total of 33 pizzas topped with pepperoni, sausage, or pepperoni and sausage. There were 29 pizzas that had pepperoni. Of these, 15 also had sausage. How many more pizzas had pepperoni only than had sausage only?
Answer:
10
Step-by-step explanation:
Total pizza topped with pepperoni, sausage or pepperoni and sausage = 33
Number of pizzas with pepperoni = 29
Number of pizzas with pepperoni and sausage = 15
Pizza with pepperoni only = 29 - 15 = 14
Pizza with sausage only = 33 - 29 = 4
Pepperoni only than sausage only :
14 - 4 = 10
The mean score in an exam given to 40 students is 70. What is the sum of the 40 exam scores? A. 1500 B. 2000 C. 2800 D. 3000
Answer:
C
Step-by-step explanation:
Mean is calculated as
mean = [tex]\frac{sum}{count}[/tex] , then
[tex]\frac{sum}{40}[/tex] = 70 ( multiply both sides by 40 )
sum = 40 × 70 = 2800 → C
Fourth-grade classrooms in several elementary schools are randomly assigned to different antibullying training programs at the beginning of the school year. The school district keeps track of the number of incidents of bullying in each classroom.
This study is an example of __________ study.
Answer:
experimental study.
Step-by-step explanation:
This study is an example of an experimental study.
The type of training program is the independent variable. The number of incidents of bullying is the dependent variable.
Since the participants of our study are affected directly in the research (the fourth-grade children) by not training against anti-bullying, the study is experimental research.
An independent variable is one that is somehow controlled or adjusted to evaluate the effects of a different variable, the dependent. Since we control whether we do bullying training here or not, our kind of training program is our independent variable, which is our dependent variable since we measure its impact on instances of bullying no.
The graph of g(x) = (x + 2)2 is a translation of the graph of f(x) by units.
1. Left 2. 2 units
3. Right 4. 3 units
EDGE 21
Answer:
Left 2 units
Step-by-step explanation:
Without knowing what f(x), it is impossible to answer this question. I'll answer assuming a parent function of [tex]f(x)=x^2[/tex].
In the function [tex]y=(x-c)^2[/tex], [tex]c[/tex] represents the phase shift from parent function [tex]f(x)=x^2[/tex]. If [tex]c[/tex] is positive (e.g. [tex](x-3)^2[/tex]), then the function shifts to the right however many units [tex]c[/tex] is. If [tex]c[/tex] is negative (e.g. [tex](x+5)^2[/tex]), the function shifts to the left however many units the absolute value of [tex]c[/tex] is.
In the function [tex]g(x)=(x+2)^2[/tex], let's find out the value of [tex]c[/tex]:
Format: [tex]y=(x-c)^2[/tex]
[tex]g(x)=(x+2)^2=(x-(-2))^2[/tex]
Therefore, [tex]c=-2[/tex].
Since [tex]c[/tex] is negative, the function must shift to the left. To find out how many units it shifts to the left, take the absolute value of [tex]c[/tex]:
[tex]|-2|=\boxed{2\text{ units to the left}}[/tex].
Thus, the graph of [tex]g(x)=(x+2)^2[/tex] is a translation of the graph [tex]f(x)=x^2[/tex] by 2 units to the left.
*Note: Once again, this answer is assuming [tex]f(x)=x^2[/tex] as it is not clarified in the question. If [tex]f(x)\neq x^2[/tex] and is already shifted, you will need to account for shift. If you believe this is the case, feel free to let me know in the comments.
The set of ordered pairs (–1, 8), (0, 3), (1, –2), and (2, –7) represent a function. What is the range of the function?
Answer:
8 3 -2 -7
Step-by-step explanation:
becoz the y values are the ranges of the function
Answer:
{y: y = –7, –2, 3, 8}
tan ydx - x ln xdy=0
Answer:
Uuuzu7ggijjrudidjdiwisiwiwieie
Is each statement true for parallelogram DEFG? Drag each statement into the correct box.
DF=EG
EF=DG
∠DEG ≅ ∠FGE
The statements DF=EG, EF=DG and ∠DEG ≅ ∠FGE are true for parallelogram DEFG.
What is Quadrilateral?a quadrilateral is a four-sided polygon, having four edges and four corners.
DEFG is a parallelogram.
A parallelogram is a simple quadrilateral with two pairs of parallel sides.
The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.
DF=FG is a true statement.
The diagonal passing through a parallelogram are equal in length.
EF=DG is a true statement
The opposite sides of a parallelogram are equal.
∠DEG ≅ ∠FGE are congruent angles.
Because the opposite angles of a triangle are equal in meausure.
Hence, the statements DF=EG, EF=DG and ∠DEG ≅ ∠FGE are true for parallelogram DEFG.
To learn more on Quadrilateral click:
https://brainly.com/question/29934440
#SPJ2
The upwards acceleration of a small rocket at time t s is given by a = 16 − 1.5t. The rocket is subject to this
acceleration for 3 seconds. Given that it starts from rest at t = 0, calculate the height reached by the rocket in
this time
Answer:
11.5
Step-by-step explanation:
plug 3 in for x
then solve
HELP ASAP PLEASE Alaina has $28 in her account. She wants to purchase a pair of shoes that costs $45. If Alaina makes the purchase, which integer will represents the amount of money in Alaina's account?
Answer:
-17
Step-by-step explanation:
28-45= -17 dollars in her account
Solve the inequality -6c< -12
Answer: c<2
Step-by-step explanation:
-6c<-12
c<-12/-6
c<2
can anyone ps answer this? it's urgent!
Answer:
9:125
Step-by-step explanation:
To write a ratio correctly, you need the same units for both numbers.
Let's convert liters into milliliters.
1 L = 1000 mL
Ratio of 72 mL to 1000 mL =
= 72:1000
Divide both numbers by their GCF, 8.
= 9:125
Find the equation of the straight line that passes through the points (1, 10) and (3, 2)
ANSWER ASAP
Answer:
y = -4x+14
Step-by-step explanation:
First find the slope
m = (y2-y1)/(x2-x1)
m = (2-10)/(3-1)
=-8/2
= -4
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = -4x+b
Substitute a point into the equation
10 = -4(1)+b
Add 4 to each side
14 = b
y = -4x+14