Answer:
b=14 cm
Step-by-step explanation:
Use pythagorean equation
A^2+b^2=c^2
1^2+b^2=14^2
1+b^2=196
b^2=195
b=13.964
Question 9
Explain using complete sentences how you would solve for the
variable a in this equation : p = (3a +4)/ b
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Answer:
To solve for a, you will need to get that variable alone on one side. First you will multiply each side by variable b. This will give you the equation pb = 3a + 4. Next you subtract 4 from each side. This puts it at pb - 4 = 3a. After that you’ll divide both sides by 3 and get a alone. This gives you (pb - 4)/3 = a or, if you switch it around, a = (pb - 4)/3. This is the simplest form when solving for a in this equation.
Answer:
Hello,
All my sentences will be written in mathematical language.
Step-by-step explanation:
[tex]p=\dfrac{3a+4}{b} \\\\p*b=3a+4 \ :\ \forall\ x,y,z\in\mathbb{R},z\neq 0:x=y\Longleftrightarrow\ x*z=y*z\\\\p*b-4=3a \ :\forall\ x,y,z\in\mathbb{R} :x=y\Longleftrightarrow\ x+z=y+z\\\\\dfrac{p*b-4}{3} =a \ :\forall\ x,y,z\in\mathbb{R},z\neq 0:x=y\Longleftrightarrow\ x*z=y*z\\\\a=\dfrac{p*b-4}{3} \ :\forall\ x,y\in\mathbb{R}:x=y\Longleftrightarrow\ y=x[/tex]
A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the time read exactly 5:32 p.m At this time, he started pumping gas into the tank. At exactly 5:38 p.m , the tank was full and he noticed that he had pumped 10.6 gallons. What is the average rate of flow of the gasoline into the gas tank?
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Answer:
1.767 gal/min
Step-by-step explanation:
The flow rate in gallons per minute is found by dividing gallons by minutes.
(10.6 gal)/(6 min) ≈ 1.767 gal/min
look at the image to find the question
Answer:
yes, the volume = 16 ft^3
Find the value of x in each case:
We know
Sum of two interior angles =exterior angle
[tex]\\ \sf\longmapsto 2x+x=3x[/tex]
[tex]\\ \sf\longmapsto 3x=3x[/tex]
[tex]\\ \sf\longmapsto x=1[/tex]
Which of the following equations has only one solution?
Answer:
x^2 -6x+9 = 0
Step-by-step explanation:
x^2 -6x+9 = 0
Factor
(x-3)(x-3) =0
x=3
There is one solution with a multiplicity of 2
[tex]if x = -5\\x^{2} + 3\\x - 2[/tex]
Answer:
this question is inappropriate
1. Find 4B. B= -3 1
2 -4
-1 5
Answer:
(1,4) (2,4)(3,4)
Step-by-step explanation:
Q-21: The regions of inequalities are also called:
A) Planes B) Lines C) Half planes D) None of these
Answer:
D ) none of these .. i think this help you
can someone help me pls
PLZ HELP- I NEED HELP IM A LIL SLOW
Answer:
7 and above
Step-by-step explanation:
Go and 7 draw a dot and a arrow to the right
Answer:
Step-by-step explanation:
What is the probability of rolling a 2 and 3 with 2 die
A rectangular plot has 17 m length and 14 m width. What will be the cost
of fencing at a rate of Rs. 25 per metre?
Answer:
Step-by-step explanation:
perimeter=2(l+w)=2(17+14)=2(31)=62 m
cost of fencing=62×25=1550 Rs.
5 times 3 times 2
show work
Answer:
30
Step-by-step explanation:
5x3=p
px2 = a
5x3 = 15 x 2 = 30
Answer:
5 times 3 times 2=30
Step-by-step explanation:
5×3=15×2=30
Please help me with the answers
Answer:
slope= 3/1
y-intercept (0,2)
y= 3/1 b + 2
Water boils at 100° Celsius and above. Which inequality describes the temperatures at which water would boil?
Answer:
D.
Step-by-step explanation:
The required inequality is given as x ≥ 100 as the water boils at 100°C and above, Option B is correct.
What is inequality?Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
here,
As given in the question,
Water boils at 100°C and above,
So let x be the temperature of the water,
And according to the condition,
x ≥ 100° C
Thus, the inequality x ≥ 100 is shown in option B.
Thus, the required inequality is given as x ≥ 100 as the water boils at 100°C and above, and Option B is correct.
Learn more about inequality here:
brainly.com/question/14098842
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2sin(2x) + 1 = 3sin(2x) Solve for x with exact answers. The domain is 0 ≤ x ≤ π
Answer:
x = π/4.
Step-by-step explanation:
3sin(2x) = 2sin(2x) + 1
3sin(2x) - 2sin(2x) = 1
1sin(2x) = 1
sin(2x) = 1
When a variable n = π/2, sin(π/2) = 1 [refer to the unit circle].
2x = π/2
x = π/4.
Hope this helps!
I do not understand this question, anyone help? Most brainiest for the right answer!
Answer:
56.7
Step-by-step explanation:
We know
mean = sum / count, with count being the amount of papers corrected in this case. We want to find the sum of all the papers as well as the count to figure out the mean of all papers.
For Tony's papers,
mean = sum / count
50 = sum / 40
multiply both sides by 40 to isolate the sum
sum = 50 * 40 = 2000
For Alice's papers,
mean = sum / count
70 = sum / 20
multiply both sides by 20 to isolate the sum
70 * 20 = sum = 1400
The total sum of all 60 papers is equal to the sum of 40 papers + the sum of the remaining 20 papers, or 2000 + 1400 = 3400. The mean of the 60 papers is therefore
mean = sum / count
mean = 3400/60 ≈ 56.7
People with a house number ending in 1 are polled. Is this sample random?
A) Yes
B) No
Answer:
No
Step-by-step explanation:
A random sample is a poll in which the individuals who are taking the poll are not specific or biased. In this case it is a specific group of people, people who'se house number ends with 1
Answered by g a u t h m a t h
The answer is no with a house number ending in 1 are polled.
It is required to choose the random sample.
What is probability?probability is the ratio of the number of favorable outcomes and the total number of possible outcomes.
Given that:
Every member and set of members has an equal chance of being included in the sample.
Technology, random number generators, or some other sort of chance process is needed to get a simple random sample.
A random sample is a poll in which the individuals who are taking the poll are not specific or biased. In this case it is a specific group of people, people whose house number ends with 1.
So, the answer is no with a house number ending in 1 are polled.
Learn more about probability here:
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Find all solutions of the equation in the interval [0, 2pi).
4 cosx =-sin^2x+1
Write your answer in radians in terms of pi.
If there is more than one solution, separate them with commas.
Answer:
543
Step-by-step explanation:
Please find this answer!! :)
Answer:
Amanda's box is in this case, the bigger one. Then subtract the Amanda's by Mary's. The Larger box is 70cm^3 larger then the smaller box.
Step-by-step explanation:
Amanda's box: 13.5*10*10= 1350cm^3
Mary's box: 20*8*8= 1280cm^3
1350-1280=70
The larger box is 70cm^3 larger then the smaller box.
If you have any questions regarding my answer tell me in the comments, i will come answer them. Have a good day.
If 2L of solution needs to be administered through an IV over 24hours, then how many mililitres of solution needs to be provided per hour, rounded to two decimal places?
Answer:
83.33 milliliters
Step by step explanation:
2L = 2000 ml Change the liters to milliliters first
2000 ml : 24 hours
x ml : 1 hour
Next you cross multiply : 2000 × 1 hour = 2000 and 24 × x = 24x
Then you divide:
[tex]\frac{24x}{24} : \frac{2000}{24}[/tex]
x : 83.3333333...
When this is rounded off it is equal to 83.33
HOPE THIS HELPED
find terminal points on the unit circle determines by 5pi/3
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Answer:
(x, y) = (1/2, -√3/2)
Step-by-step explanation:
The coordinates on a unit circle of the intersection of the terminal ray of angle α are ...
(x, y) = (cos(α), sin(α))
For α = 5π/3, the point on the unit circle is ...
(x, y) = (cos(5π/3), sin(5π/3)) = (1/2, (-√3)/2)
Twenty-seven minus 3/2 of a number (x) os not mpre than 36. What is the number?
Answer:
-6
Step-by-step explanation:
27-3/2x=36
53-3x=72
3x=-18
x=-6
a) Show that the equation 2 x + 3 cos x + e^x = 0 has a root on the
interval (-1,0)
b) Use the Bisection method to find the solution of 2 x + 3 cos x +
e^x = 0. accurate with in 10-3. On (-1,0). (Use four digits-Rounding)
a) The equation has a root in the interval (-1,0)
b) The solution of [tex]2x+3cos(x)+e^{x}=0[/tex] by using the Bisection Method is x=0.9977 accurate within [tex]10^{-3}[/tex]
a) The intermediate zero theorem (Bolzano's Theorem) tells us that whenever you have a continuous function in a given interval and the extremes of the functions on this interval have oposite signs, then there must be a zero in between those extreme values.
A formal definition of this theorem is written like this:"If a function f on the closed interval [a,b] is a continuous function and it holds that f(a)>0 and f(b)<0 or f(a)<0 and f(b)>0, then there is at least one x-value such that f(x)=0"
So basically we need to evaluate the given equation for both extremes of the interval x=-1 and x=0, if they return results opposite in sign, then there must be a zero in that interval, so let's evaluate the function for x=-1:
[tex]2x+3cos(x)+e^{x}[/tex]
[tex]2(-1)+3cos(-1)+e^{-1}=-0.0112[/tex]
Let's now test for x=0
[tex]2x+3cos(x)+e^{x}[/tex]
[tex]2(0)+3cos(0)+e^{0}=4[/tex]
So notice we ended up with two values -0.0112 and 4. One is positive and the other is negative, therefore there must be a zero in that interval.
b) The zero is located at x=-0.9977
The idea of the bisection method is to find values for x in the middle of two x-values that return opposite sign answers when evaluated on the given function. So we can start with the extremes of the given interval:
x=-1 and x=0
so we find the value in the middle by using the following formula:
[tex]mid-value=\frac{x_{1}+x_{2}}{2}[/tex]
so we get:
[tex]mid-value=\frac{-1+0}{2}[/tex]
mid-value=-0.5
Next, we evaluate the given function for that value:
[tex]2(-0.5)+3cos(-0.5)+e^{-0.5}=2.2393[/tex]
Since we got a positive answer, we now find the midpoint between -0.5 and -1 (which was the last x-value that returned a negative answer) so we get:
[tex]mid-value=\frac{-1-0.5}{2}[/tex]
mid-value=-0.75
Next, we evaluate the given function for that value:
[tex]2(-0.75)+3cos(-0.75)+e^{-0.75}=1.1674[/tex]
and we repeat the process until que get to the desired accuracy. I uploaded a table that has the corresponding iterations and its answers. There were 14 iterations done until we got to the final answer x=-0.9977.
Learn more about the intermediate zero theorem here:
https://brainly.com/question/13154408?referrer=searchResults
If 5000 is divided by 10 and 10 again what answer will be reached
Hey there!
First, divide 5,000 by 10. You will get 500.
Now, 500 ÷ 10, and you will get your answer, 50.
Hope this helps! Have a great day!
Nick earns a monthly base pay plus commission working as a car salesman. The expression 1,600 + 1,200x models the amount he
earns each month. Which THREE statements are correct?
es )
A)
1,200 represents Nick's base pay.
B)
1,600 represents Nick's base pay.
x represents the number of cars Nick sold.
D)
1,200 represents the commission for each car.
E)
1,600 represents the commission for each car.
yeah
Answer:
A, C, D
Step-by-step explanation:
P(x) = 1600+1200*x, clearly x represents the number of cars solved as it's a variable. 1600 is the base pay and 1200 is the commission he get on each variable/car
Answer:
B,C,D
Step-by-step explanation:
I got this on usatestprep.
Describe how to find the domain of a square root function just by looking at the function.
Answer:
Step 1: Set the expression inside the square root greater than or equal to zero. Step 2: Solve the equation found in step 1. In this case, we divided by a negative number, so had to reverse the direction of the inequality symbol. Step 3: Write the answer using interval notation.
Ron has 22 coins with a total value of $ 1.85. The coins are nickels (5 cents) and dimes (10 cents). How many of each coin does he have?
Please help asap and thank you in advance!!
Answer:
18 dimes and 1 nickle
Step-by-step explanation:
This is because 18 time 10 is 180 and one of 5 add it and this is $1.85
Remeber a dollar is 100 cents
if U>T, R>Q, S>T and T>R, which of the following is TRUE?
1. S>Q
2. U > S
3.U > R
A. 1 only
B. 2 only
C. 1 and 2
D. 2 and 3
Answer:
C. 1 and 2
Step-by-step explantation:
First, i would order them as U>T, T>R, R>Q, S>T
we can rewrite them as
U>T>R>Q,
now adding S, we get U>S>T>R>Q,
so U>S
We can also rewrite all of them as inequalities:
U-T>0
T-R>0
R-Q>0
S-T>0
Add R-Q and T-R
(R-Q)+(T-R)>0
-Q+T>0
T>Q, but because S>T we can say S>Q
In ΔDEF, the measure of ∠F=90°, DF = 24, FE = 7, and ED = 25. What ratio represents the sine of ∠E?
Answer:
24/25
Step-by-step explanation:
In this triangle DF and FE are legs (because they form the right angle) , ED is the hypotenuse (it is the largest side, it is opposite to the right angle).
son of E is the ratio of the leg opposite to the angle E (DF) to the hypotenuse
it is 24/25
