Answer:
23/20
Step by step Explanation
Answer:
3/20Step-by-step explanation:
[tex]2-\frac{3}{4}-1\frac{1}{10}=x\\x=2-\frac{3}{4}-\frac{11}{10}\\\mathrm{Convert\:element\:to\:fraction}:\quad \:2=\frac{2}{1}\\x=\frac{2}{1}-\frac{3}{4}-\frac{11}{10}\\1,\:4,\:10\\\mathrm{Prime\:factorization\:of\:} ;\\1=1\\4=2\times \:2\\10=2\cdot \:5\\\mathrm{Multiply\:the\:numbers:}\:2\times \:2\times \:5=20\\Adjust\: fractions\: based\: on\: their\: LCM ;\\\frac{2}{1}=\frac{2\times \:20}{1\times \:20}=\frac{40}{20}\\\\\frac{3}{4}=\frac{3\times \:5}{4\times \:5}=\frac{15}{20}\\[/tex]
[tex]\frac{11}{10}=\frac{11\times \:2}{10\times \:2}=\frac{22}{20}\\\mathrm{Since\:the\:denominators\:are\:equal,\\\:combine\:the\:fractions}:\\\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\\\\mathrm{Subtract\:the\:numbers:}\:40-15-22=3\\\\x=\frac{3}{20}[/tex]
A person stands 15 ft from an elephant. Determine how tall the elephant is in feet, the given diagram.
Answer:
The height of the elephant is [tex]\dfrac{15}{\sqrt3}\ ft[/tex].
Step-by-step explanation:
It is given that,
Distance between a person and an elephant is 15 ft
The angle of elevation of the elephant is 30 degrees.
We need to find the height of the elephant. For this let us consider that height is h. So,
[tex]\tan\theta=\dfrac{P}{B}\\\\\tan(30)=\dfrac{h}{15}\\\\h=15\times \tan(30)\\\\h=\dfrac{15}{\sqrt3}\ ft[/tex]
So, the height of the elephant is [tex]\dfrac{15}{\sqrt3}\ ft[/tex].
In the triangle below, what is the length of the hypotenuse?
A. \|3
B. 3\|3
C. 6
D. 3\|2
Answer:
C
Step-by-step explanation:
So you can use the 30, 60, 90 degree triangle ratio of x: 2x: x√3
The 3 is the x, and the hypotenuse is the 2x, so it's 6
Answer:
C. 6
Step-by-step explanation:
I just finished the test and I got 100 percent
Determine all numbers at which are function Continuous..
f(x)={
x^2 + 5x - 36/
x^2 + 8x - 9
if x≠-9
if x= -9}
a.
continuous at every real number except x = 1 and x = -9
b. continuous at every real number except x = -9
c.continuous at every real number except x = 1
d. continuous at every real number except x = -9 and x = 4
Answer:
For this case we have this function:
[tex] f(x) =\frac{x^2 +5x-36}{x^2 +8x-9}, x=9[/tex]
We can factor the denominator and we got:
[tex] f(x) =\frac{x^2 +5x-36}{(x+9)(x-1)}, x=9[/tex]
And since we can't divide by 0 then the value of x can't be 1 or -9 so then the best answer for this case would be:
Continuous at every real number except x=1 and x=-9
Step-by-step explanation:
For this case we have this function:
[tex] f(x) =\frac{x^2 +5x-36}{x^2 +8x-9}, x=9[/tex]
We can factor the denominator and we got:
[tex] f(x) =\frac{x^2 +5x-36}{(x+9)(x-1)}, x=9[/tex]
And since we can't divide by 0 then the value of x can't be 1 or -9 so then the best answer for this case would be:
Continuous at every real number except x=1 and x=-9
Answer:
A or continuous at every real number except x=1 and x=-9
Step-by-step explanation:
Just took the test :)
Which set of ordered pairs represents a function? {(0,1), (1,3), (1,5) (2,8)}, {(0,0), (1,2), (2,6), (2,8)}, {(0,0), (0,2), (2,0), (2,4)}, {(0,2), (1,4), (2,6), (3,6)}
Answer:
The last set.
Step-by-step explanation:
The first 3 sets contain 'one-to-many' relations , for example (1, 3) and (1, 5) in set 1 and (0, 0) and (0, 2) in set 3 , so they are not functions.
The last set does not have any of these and is a function.
-15≤-3c plz helpppppppppp
Answer:
5 ≥ c
Step-by-step explanation:
-15≤-3c
Divide each side by -3, remembering to flip the inequality
-15/-3 ≤ -3c/-3
5 ≥ c
Answer:
c ≤ 5
Step-by-step explanation:
Since you have to divide both sides of the equation by a negative number, you have to flip the equality sign.
-15 ≤ -3c
(-15)/(-3) ≤ (-3c)/-3
5 ≥ c
c ≤ 5
A study compared surgery and splinting for subjects suffering from carpal tunnel syndrome. It was found that among 73 patients treated with surgery,
there was a 92% success rate. Among 83 patients treated with splints, there was a 72% success rate. Calculations using those results showed that if
there really is no difference in success rates between surgery and splints, then there is about 1 chance in 1000 of getting success rates like the ones
obtained in this study. Which statement cannot be said?
The better treatment for carpal tunnel syndrome is surgery.
The result has practical significance.
The recommended treatment for carpal tunnel syndrome is splinting.
The result has statistical significance.
Answer:
the answer is c
Step-by-step explanation:
because if the surgery has a 92% success rate and the splints have a 72% success rate then surgery would be recommended because it has a higher success rate
A bottler of drinking water fills plastic bottles with a mean volume of 999 milliliters (ml) and standard deviation 7 ml. The fill
volumes are normally distributed. What is the probability that a bottle has a volume greater than 992 mL?
1.0000
0.8810
0.8413
0.9987
Answer:
0.8413
Step-by-step explanation:
Find the z score.
z = (x − μ) / σ
z = (992 − 999) / 7
z = -1
Use a chart or calculator to find the probability.
P(Z > -1)
= 1 − P(Z < -1)
= 1 − 0.1587
= 0.8413
The required probability that a bottle has a volume greater than 992 mL is 0.84134. Option C is correct
Given that,
A bottler of drinking water fills plastic bottles with a mean volume of 999 milliliters (ml) and a standard deviation of 7 ml. The fill volumes are normally distributed. What is the probability that a bottle has a volume greater than 992 mL, is to be determined
Probability can be defined as the ratio of favorable outcomes to the total number of events.
We use Z-statistic to find out the probability,
z = (x − μ) / σ
x = raw score = 992 mL
μ = population mean = 999 mL
σ = standard deviation
z = [992 − 999]/7
z = -1
P-value from Z-Table:
P(x<992) = 0.15866
P(x>992) = 1 - P(x<992) = 0.84134
Thus, the required probability that a bottle has a volume greater than 992 mL is 0.84134
Learn more about probability here:
brainly.com/question/14290572
#SPJ2
Determine the height of the tree to the nearest foot
Answer:
80 ft
Step-by-step explanation:
in similar triangles sides are proportional.
[tex]\frac{176}{h} =\frac{120+100}{100} =\frac{220}{100} =\frac{22}{10} \\h=\frac{10}{22} \times 176=80[/tex]
h=80 ft
Write a short statement that expresses a possible function between the given variables. (price of a DVD player, demand f for DVD player)
Answer:
The relation PriceVSDemand usually is an inverse relationship.
This means that, as the price of the object increases, the demand will decrease.
An inverse relationship is:
D = k/P
Where D is the demand, P is the price and K is a constant that depends on the situation.
Of course this relationship also can be something like:
D = k/P^n
With n ≥ 1.
If n = 1 we have the same as above, and if n > 1, the demand decreases faster as the price increases.
If
Brainliest for whoever gets this correct! What is the sum of the rational expressions below?
Answer:
second option
Step-by-step explanation:
x / x - 1 + 3x / x + 2
= x(x + 2) / (x - 1)(x + 2) + 3x(x - 1) / (x - 1)(x + 2)
= (x² + 2x) / (x² + x - 2) + (3x² - 3x) / (x² + x - 2)
= (4x² - x) / (x² + x - 2)
The measure of minor arc JL is 60°. Circle M is shown. Line segments M J and M L are radii. Tangents J K and L K intersect at point K outside of the circle. Arc J L is 60 degrees. What is the measure of angle JKL? 110° 120° 130° 140°
Answer:
120
Step-by-step explanation:
Answer: 120
Hope that helped!(:
On moving day, Guyton needs to rent a truck. The length of the cargo space is , and the height is less than the width. The brochure indicates that the truck can hold . What are the dimensions of the cargo space
On moving day, Guyton needs to rent a truck. The length of the cargo space is 10 ft , and the height is 1 ft less than the width. The brochure indicates that the truck can hold 420 ft3 . What are the dimensions of the cargo space? Assume that the cargo space is rectangular shape.
Answer:
The dimensions; width w is 7 ft and height is 6 ft
Step-by-step explanation:
L = 10 ft the length of the cargo space
w = the width of the cargo space
h = the height of the cargo space the height is 1 ft less than the width
h = w - 1
The truck can hold 420 ft^3 - this means the volume of the space V = 420 ft^3
But V = L*w*h
Substitute h = w - 1 into the Volume equation
Therefore,
10*w*(w - 1) = 420
10w^2 - 10w - 420 = 0
By Using quadratic equation formula to solve and considering positive answer,
w = {-b +- √(b^2 - 4ac)}/2a
Where;
a = 10, b = -10 and c = -420
w = {-(-10) +- √(-10^2 - 4(10)(-420)}/2(10)
w = {-(-10) +- 130}/20
w = (10 + 130)/20 = 140/20 = 7
Or
w = (10 -130)/20 = -120/20 = -6
Here,
I take positive answers and the width is 7 ft
Also, from h = w - 1
height = 7 - 1 = 6 ft
As per the question on a moving day, the Guyton is renting a truck and the length of his cargo the height of which is less than the width. The brochure indicates the trick that he can hold.
How much width and height does Guyton need in cargo space?The dimension of the cargo will be based on the amount of capacity of the cargo and the amount of cargo that needs to be moved. On the day of the move, he rent a truck. The L of all cargo space is given as 10 feet, and that of height is 1 foot which is less than the width. This brochure tells us that the truck can hold 420 feet.
Find out more information about the length of the cargo space.
brainly.com/question/1170096.
Consider the density curve plotted below:
Find PX < 6.4):
Find P(X> 4.8):
Answer:
[tex] P(X<6.4)= \frac{6.4*0.2}{2}= 0.64[/tex]
[tex] P(X>4.8) =1-P(X<4.8)= 1- \frac{4.8*0.15}{2}= 1-0.36= 0.64[/tex]
Step-by-step explanation:
Part a
We want to find:
[tex] P(X<6.4)[/tex]
And we just need to find the area below the curve until x=6.4, since we have a triangle we can do this:
[tex] P(X<6.4)= \frac{6.4*0.2}{2}= 0.64[/tex]
Part b
For this case we want to find this probability:
[tex] P(X>4.8)[/tex]
And we can use the complement rule and we got:
[tex] P(X>4.8) =1-P(X<4.8)= 1- \frac{4.8*0.15}{2}= 1-0.36= 0.64[/tex]
The Kamp family has twins, Rob and Rachel. Both Rob and Rachel graduated from college 2 years ago, and each is now earning $50,000 per year. Rob is an engineer. The mean salary for engineers with less than 5 years’ experience is $60,000 with a standard deviation of $5,000. Rachel works in the retail industry, where the mean salary for executives with less than 5 years’ experience is $35,000 with a standard deviation of $8,000.
Compute the z values for both Rob and Rachel and comment on your findings.
Answer:
z-value of rachel = 1.875
z-value of rob = -2
z-value of Rachel is more than that of rob. Thus rob is earning below average and rachel is earning above average.
Step-by-step explanation:
Let's denote the salary of Rob and Rachel per year by X. So, X = $50,000
We are told that;
For Rachel's industry;
Mean salary;μ1 = $35,000
Standard deviation;σ1 = $8,000
For Rob's industry;
Mean salary;μ2 = $60,000
Standard deviation;σ2 = $5,000
Formula for z - value is;
z = (X - μ)/σ
Thus;
z-value for rob is;
z2 = (X - μ2)/σ2
z2 = (50000 - 60000)/5000
z2 = -2
z-value for rachel is;
z1 = (X - μ1)/σ1
z1 = (50000 - 35000)/8000
z1 = 1.875
z-value of Rachel is more than that of rob. Thus rob is earning below average and rachel is earning above average.
A hypothesis test is to be performed for a population proportion. For the given sample data and null hypothesis, compute the value of the test statistic, Z.
415 people were asked if they were satisfied with their jobs. 49% said they were. H0: p= 0.3
a. 8.446
b. 2.612
c. 0.415
d. 4.125
Answer:
The correct option is a
Step-by-step explanation:
From the question we are told that
The sample size is n = 415
The sample proportion is [tex]\r p = 0.49[/tex]
Now
The null hypothesis is [tex]H_o : p = 0.3[/tex]
The alternative hypothesis is [tex]H_a : p \ne 0.3[/tex]
The test statistics is mathematically evaluated as
[tex]t = \frac{\r p - p }{ \frac{\sqrt{ p (1- p )} }{n} }[/tex]
substituting values
[tex]t = \frac{0.49 - 0.3 }{ \sqrt{ \frac{0.3 (1- 0.3 ) }{415} }}[/tex]
[tex]t = 8.446[/tex]
The height of an object dropped from the top of a 144-foot building is given by . How long will it take the object to hit the ground?
They left off the equation but we can know it's
y(t) = h₀ - g t² / 2
That's
y(t) = 144 - 16 t²
It hits the ground when
0 = 144 - 16 t²
16 t² = 144
t² = 144 / 16 = 9
t = 3 seconds
Answer: 3 seconds
Part 1 You will need to measure five different people. Record your measurements on a piece of paper. Using a tape measure or ruler, measure the length (in inches) of a person’s left foot and then measure the length (in inches) of that same person’s forearm (between their wrist and elbow). Refer to the diagrams below. You will have two measurements for each person. (An easy way to measure the length of a foot is to have your subject stand on a piece of paper. Then, trace their foot and measure the outline once they move off the paper.) To measure the forearm, measure inside the arm, between the wrist and the elbow. Part 2 Organize your data and find the rate of change. Create a table of the measurements for your data. Label the forearm measurements as your input and the foot measurements as your output. Select two sets of points and find the rate of change for your data. Describe your results. If you had to express this relation as a verbal statement, how would you describe it? Part 3 Compare rates of change. The equation below can be used to find the length of a foot or forearm when you know one or the other. (length of the foot) = 0.860 • (length of the forearm) + 3.302 If you let y = length of the foot and x = length of the forearm, this equation can be simplified to y = 0.860x + 3.302. Using this equation, how long would the foot of a person be if his forearm was 17 inches long? What is the rate of change of the equation from Part A? Compare the equation from Part A to your data. Are they the same? Which has a greater rate of change? Why do you think the values are different? Is the relation in your data a function? Why or why not? Could the equation in Part A represent a function? Why or why not? Explain your answer. For this option you will submit the details from all three parts. Submit your measurements, the table, and description that you created in Parts 1 and 2. Submit your answers to the questions from Part 3. Measurement of forearm (x) 10in. , 15in , 10in, 11in. , 12in. Measurement of left foot (y) 9in. 11in. . 8in. 9 11/16in. 11 1/4in.
Answer:
to be honest I'm not sure how to do this question plz answer my question plz
Step-by-step explanation:
to be honest I'm not sure how to do this question plz answer my question plz I'm so much home workout
Sam borrows $5700 at 4.5% simple interest for 3 years. Find the interest
Answer:
The interest is
$ 769.50Step-by-step explanation:
Simple interest is given by
[tex]I = \frac{P \times R \times T}{100} [/tex]
where
P is the principal
R is the rate
T is the time given
From the question
The principal / P = $ 5700
The rate / R = 4.5%
The time given / T = 3 years
So the interest is
[tex]I = \frac{5700 \times 4.5 \times 3}{100} [/tex]
[tex]I = \frac{76950}{100} [/tex]
We have the final answer as
I = $ 769.50
Hope this helps you
A bike tire just ran over a nail, and it is losing pressure at a rate of 5% every minute. The tire pressure is currently 1,300 kilopascals. What will it be in 3 minutes? If necessary, round your answer to the nearest tenth.
Answer:
1,114.6 kPa
Step-by-step explanation:
P(t) = 1300 (0.95)^t
P(3) = 1300 (0.95)^3
P(3) = 1114.6
What the answer now fast
sine(X) = opposite side / hypotenuse
sine(X) = (2√11) / (4√11)
sine(X) = (2/4)
sine(X) = 0.5
X = arcsine(0.5)
X = 30°
Answer: m∠x = 30°
Step-by-step explanation:
In a right triangle, if the short side of the right angle is Half the length of the hypotenuse, the triangle has angles of 30°, 60° and 90°
∠x is the smallest one, so m∠x = 30°
It is possible to figure the sine and get the angle from that, but in this case it might not be necessary. ;-)
HELP- find the volume of the prism
Answer:
The answer is
1728″Step-by-step explanation:
From the above question the prism in the picture is a cube since all it's sides are equal
So the formula for finding the volume of a cube is
V = l³
where l is the length of one side
From the question l = 12″
Volume of the prism = 12³
= 1728″
Hope this helps you
#if a sum become rs 6480 in 3 years and rs 7776 in 4 years interest being compounded annually, find the sum and rate of interest.
solve it
it's urgent
Answer:
The rate of interest is 20% and the sum is $3,750
Step-by-step explanation:
In order to calculate the sum and rate of interest we would have to make the following calculation:
rate of interest= (sum in 4 years-sum in 3 years)*100/sum in 3 years*1
According to the given data we have the following:
sum in 4 years=$7,776
sum in 3 years=$6,480
Therefore, sum in 4 years-sum in 3 years=$7,776-$6,480=$1,296
Therefore, rate of interest=$1,296*100/$6,480*1
rate of interest=20%
To calculate the sum we would have to make the following calculation:
FV=PV(1+20%)∧3
$6,480=PV(1,20)∧3
PV=$3,750
Sum is $3,750
Lisa is 34 years old. Two years ago, she was twice as old as her brother. How old is her brother now?
Answer:
18
Step-by-step explanation:
Two years ago, Lisa was 34 - 2 = 32 years old. If she was twice as old as her brother, he was 32 / 2 = 16 years old at that time. His age now will be 16 + 2 = 18.
HELP! EASY! WILL GIVE BRAINLIEST!
Answer:
c
Step-by-step explanation:
Find the value of x in the isosceles triangle shown below.
Answer:
the answer is x = sqrt 48
Step-by-step explanation:
1. A mortgage of $200,000 requires payments of $1395.40 per month at 5.7%
compounded quarterly. How long will it take to repay the loan? What amount of interest
does the purchase pay?
Answer:
a) How long will it take to repay the loan?
20 years
b) What amount of interest does the purchase pay?
$134,896
Step-by-step explanation:
a) How long will it take to repay the loan?
In the above question, they are asking you for the Loan duration
The Formula for Loan duration(T) =
ln (- m/(r÷n) × C - m)/In (1 + r/n)
Where:
m = monthly payments = $1395.40
C = Amount of mortgage =$200,000
r = Interest rate = 5.7% = 0.57
n = compounded quarterly = 4
T = ln (- 1395.40/(0.57÷4) × 200,000 - 1395.40)/In (1 + 0.57/4)
T = 20 years.
Therefore, it will take 20 years to repay the Loan.
b) What amount of interest does the purchase pay?
The total number of payments =
Loan duration × Number of months
Number of months = 12 months( because it is monthly payment)
Loan duration = 20 years
Total number of payments = 240 payments.
In the question, we are given the amount paid monthly payment as
$1,395.40
Total amount paid = Monthly payments × Total number of payments
= $1,395.40 × 240
= $334,896
The amount of Interest the purchase pay = $334,896 - $200,000
= $134,896
Use the cubic model y = 6x3 - 5x2 + 4x – 3 to estimate the value of y when x = 2.
a 25
(b 33
c 48
d 79
Done
Try Again
-
Answer:
The answer is B.
Step-by-step explanation:
You have to substitute x = 2, into the equation of y :
[tex]y = 6 {x}^{3} - 5 {x}^{2} + 4x - 3[/tex]
[tex]let \: x = 2[/tex]
[tex]y = 6 {( 2)}^{3} - 5 {(2)}^{2} + 4(2) - 3[/tex]
[tex]y = 48 - 20 + 8 - 3[/tex]
[tex]y = 33[/tex]
What is the missing segment?
Answer:
78.
Step-by-step explanation:
12 / (48-12) = 26 / x
12/36 = 26/x
1/3 = 26/x
x = 26*3 = 78.
The lengths, in order, of four consecutive sides of an equiangular hexagon are 1, 7, 2 and 4 units, respectively. What is the sum of the lengths of the two remaining sides?
Answer:
9
Step-by-step explanation:
Extend every other side of the hexagon so that a triangle is formed. Since the hexagon is equiangular, the overall triangle is an equilateral triangle, as well as the smaller triangles in the corners.
The length of the sides of the overall triangle is 7 + 2 + 4 = 13.
Therefore, the other two sides of the hexagon are 5 and 4.
The sum is 5 + 4 = 9.
Find the measure of y. Polygon Angle-Sum theorems
Answer:
z = 70°
y = 103°
Step-by-step explanation:
From the picture attached,
110° + z° = 180° [Supplementary angles]
z = 180 - 110
z = 70°
Since sum of interior angles of a polygon = (n - 2)×180°
where n = number of sides of the polygon
For a quadrilateral (n = 4),
Sum of interior angles = (4 - 2) × 180°
= 360°
z° + y° + 100° + 87° = 360°
70° + y° + 187° = 360°
y = 103°
Therefore, measure of the angles x = 70° and y = 103°.