Answer:
The square root function is the inverse of the squaring function just as subtraction is the inverse of addition. To undo squaring, we take the square root. In general terms, if a is a positive real number, then the square root of a is a number that, when multiplied by itself, gives a.
Step-by-step explanation:
Hope that this helps! :)
Have a great rest of your day/night!
How many gallons of a 80% antifreeze solution must be mixed with 100 gallons of 20% antifreeze to get a mixture that is 70% antifreeze? Use the six-step method.
To Find :
How many gallons of a 80% antifreeze solution must be mixed with 100 gallons of 20% antifreeze to get a mixture that is 70% antifreeze.
Solution :
Let, x gallons of 80% antifreeze solution is required :
So,
[tex](x \times 80) + ( 100 \times 20 ) = (x + 100 )\times 70\\\\8x + 200 = 7( x + 100)\\\\x = 500[/tex]
Therefore, 500 gallons of 80% antifreeze solution is required.
Please help me I need these ASAP. I'll mark as brilliant!
make c the subject: (a+c)^2=t
make x the subject: p=3(y+2x)^2
[tex](a + c) ^{2} = t \\ c = \sqrt{t } - a \\ c = - \sqrt{t} - a[/tex]
[tex]p = 3(y + 2x) ^{2} \\ x = \frac{ \sqrt{3p} }{6} - \frac{y}{2} \\ x = - \frac{ \sqrt{3p} }{6} - \frac{y}{2} [/tex]
Uh please help 8x-4y=-4
-3x+4y=5
Subtract second equation from the first
Answer:
11x -8y = -9
Step-by-step explanation:
8x-4y=-4
-3x+4y=5
Subtract the second equation from the first
8x-4y=-4
-(-3x+4y=5)
-----------------------------
Distribute the minus sign
8x-4y=-4
+(3x-4y=-5)
-----------------------------
11x -8y = -9
A curve has the equation y=x^3+8x^2+5
Which of the following is equal to the expression below?
A.
B.
C.
D.
Answer:
D
Step-by-step explanation:
Answer:
D
hope this helps
X = mb + y
Is this written out in slope intercept form?
Answer:
no
Step-by-step explanation:
y=mx+b
hope this helps
help i need the value of y
Answer:
y = 87º
Step-by-step explanation:
Vertical angles are congruent
y = 87º
Answer:
87°
Step-by-step explanation:
y is vertical to 87° meaning that the two are congruent which makes them the same
What makes composing functions different from doing an arithmetic operation of two functions such as adding or dividing them?
function composition is an operation that takes two functions f and g and produces a function h such that h(x) = g(f(x)). In this operation, the function g is applied to the result of applying the function f to x.
Help me pls I need help fast give point and brianlylist
Answer:
Step-by-step explanation:
A) 2( 4×5 +6×5+6×4)=148 cm²
B) 2( 4x6 + 13 ×6 + 13×4) = 308 in²
What is the length of x?
Answer:
9.04
Step-by-step explanation:
tan 37 = x/12
0.7536 x 12= x
x = 9.04
Help me or not i have 10 points to offer
Answer:
I think 42.5
Step-by-step explanation:
About 89% sure
Ms. Harper knows that her students in a computing course can choose from one of three operating systems for the semester: Doors, Banana, or Duix. Ms. Harper wants to test the hypothesis that her students will select the operating systems in the same proportion as students in other computing courses at the university. She conducts a χ2 goodness-of-fit test and calculates χ2=3.79 with a corresponding p-value of 0.15. Which of the following is correct at a 5-percent level of significance?
A. Reject the null hypothesis, since 3.79 > 2.
B. Fail to reject the null hypothesis, since 3.79 > 2.
C. Reject the null hypothesis, since 0.15 > 0.05.
D. Fail to reject the null hypothesis, since 0.15 > 0.05.
E. Reject the null hypothesis, since 0.15 < 3.79.
Answer:
D. Fail to reject the null hypothesis, since 0.15 > 0.05.
Step-by-step explanation:
P-value and decision regarding null hypothesis:
If the p-value is larger than the significance level, we do not the null hypothesis.
Otherwise, we reject the null hypothesis.
In this question:
The test statistic is χ2=3.79, with a p-value of 0.15.
The level of significance is 0.05.
Since 0.15 > 0.05, we fail to reject the null hypothesis, and the correct answer is given by option D.
The British government conducts regular surveys of household spending. The average weekly household spending on tobacco products and alcoholic beverages for each of 11 regions in Great Britain are recorded. A scatterplot of spending on tobacco versus spending on alcohol is given below: What is the most plausible value for the correlation between spending on tobacco and spending on alcohol
Answer:
Great Britain we’re colonizers
Step-by-step explanation:
Answer:
C) 0.08
Step-by-step explanation:
Relationships in Figures
Determine the unknown side length of the golden rectangle with the given width length.
w = 11, I + ?
a. 6.8
b. 17.8
c. 13.35
d. 5.1
Please select the best answer from the choices provided
Answer:
B. 17.8
Step-by-step explanation:
I calculated it logically
The picture says it all. If possible please explain. You don't have to but I would very much like to know how to solve this in the future.
Answer:
g(x)= ((x+4)^2) -2
Step-by-step explanation:
...............
Answer:
Step-by-step explanation:
Can anyone explain step by step how to get this answer?
Will mark branliest!!
Answer:
Step-by-step explanation:
28°
Given the set of data below, which measure(s) will change if the outlier is removed? (Check all that apply.) 1,6,8,8,8
mean
range
median
mode
The mean, range, and median will vary if the outlier is eliminated. Options A, B, and C are correct.
What is mean?The arithmetic mean is a term used to describe the average. It's the ratio of the total number of observations to the sum of the observations.
The data set is;
1,6,8,8,8
Outliers in a dataset or graph are extreme values that stand out significantly from the main pattern of values.
There is an aberration in the graph below, on the far left. The value in January is much lower than the value in the other months.
If the outlier is removed mean, range, and median will changes.
Hence options A, B and C are correct.
To learn more about mean refer:
https://brainly.com/question/13451489
#SPJ2
Factor 2x^2 c^2 + 3xc^2- 35c^2
-2x + 9y = 2
4x - 18y = -4
Answer:
6x + 27y = -6
Step-by-step explanation:
i looked it up sooo sorry if its wrong lol
What is EG? Round to the nearest tenth if necessary.
Answer:
26.
Step-by-step explanation:
As the vertex angles are equal:
24/54 = x / x+10
54x = 24x + 240
30x = 240
x = 8
So EG = x + x + 10
= 8 + 8 + 10
= 26..
Challenge: Solve 2x+y=7 for y. What does y equal?
Y= X+
Answer:
y = -2x+7
Step-by-step explanation:
2x+y=7
Subtract 2x from each side
2x+y -2x=-2x+7
y = -2x+7
In the figure shown, cos P = 0.60. What is the length of PN
Answer:40 centimeter
Step-by-step explanation:
It’s hard to explain but I also had this question
The length of PN in the figure is 40 cm
How to determine the length of PN?From the complete question, we have:
PM = 24 cm
cos P = 0.60
Shape: Right triangle at M
The length PN is calculated using the following cosine ratio
cos P = PM/PN
Substitute known values
0.60 = 24/PN
Make PN the subject
PN = 24/0.60
Divide
PN = 40
Hence, the length of PN is 40 cm
Read more about right triangles at:
https://brainly.com/question/23814470
I L L B E M A R K I N G B R A I N L I E S T T O W H O A N S W E R S F I R S T !
Answer:
Its the rectangle
Step-by-step explanation:
45-45-90 Right Triangles! Can somebody please help me? ASAP!!
Answer:
Step-by-step explanation:
45-45-90 triangles always have the same relationships
leg = x, hypotenuse = x√2
If you have the leg length multiply it by √2 to get the hypotenuse
hypotenuse = x, Leg = x/√2
If you have the hypotenuse length divide it by √2 to get the leg
-----------------------
7)
leg = 3√2 / 2
hyp = 3√2 / 2 * √2 = 3
8)
leg = 5√2
hyp = 5√2 *√2 = 10
9)
hyp = 2
leg = 2 / √2 = √2
10)
leg = 13√2 / 2
hyp = 13√2 / 2 * √2 = 13
11)
leg = 3√3
hyp = 3√3 * √2 = 3√6
12)
leg = 12
hyp = 12√2
Prove that the shape below is a rectangle.
Answer:
HG = EF
GF = HE
Step-by-step explanation:
Please help I don’t understand
Answer:
the 1 one and the 4 one
Step-by-step explanation:
HURRY!!!!!! 100 POINTS!!!!!!!!!!
WHO ANSWERS THIS FIRST GETS BRALIEIST!!!!!!!!
Arturo received a large cash prize when he was chosen as the winner of a writing contest, and he did something
really nice and totally unselfish with the winnings that he received.
which revision most
effectively shortens the sentence to make it less repetitive and more precise?
Drag the revision into the box
Revision
A.
As the winner of a writing contest, Arturo won money and gave his winnings away.
B.
Arturo did something unselfish with the prize money he won in a writing contest instead of spending it
on himselt
C.
Arturo won a cash prize in a writing contest and donated the money to a local animal shelter.
Answer:
C
Step-by-step explanation:
Genius question: A long level railway bridge passes over a railroad track, which is 100 feet below it and at right angles to it. If a law-abiding calculus student, one who always travels at the posted speed and who always does his homework, is traveling 45 miles per hour is directly above a train going 60 miles per hour below, how fast will they be separating 10 seconds later
Answer: 110 feet per second
Step-by-step explanation:
In this problem we will assume that the car at 45 miles per hour is moving into the x direction with a high of 100 feet, and the train is going in the y direction, so they trajectories will made an angle of 90º.
Now we can calculate the speed of the trains in feet per second so:
[tex]S1=\frac{45*5280}{3600}=66[/tex]
[tex]S2=\frac{60*5280}{3600}=88[/tex]
So we can make a right triangle with sides 66 and 88 and the hypotenuse will be the rate that the trains will separate per second so:
[tex]h=\sqrt{66^{2} +88^{2} } =\sqrt{4356+7744}[/tex]
[tex]h=\sqrt{12100}=110[/tex]
Is important to have in mind that the initial high is not going to change how fast the trains will separate, however, if we are going to calculate the distance we should have it in the calculations.
In this exercise we have to use the knowledge about distance to calculate the time that a route with a car will be carried out, in this way we find:
[tex]H= \sqrt{12100}=110[/tex]
In this question we will acquire that the vehicle driven on streets at 45 5 per period exist mobile into the x direction accompanying a extreme of 100 extremities, and the train happen going fashionable the y course, so they course will fashioned an angle of 90º.
[tex]S_1=(45*5280)/3600=66\\S_2=(60*5280)/3600=88[/tex]
So we can curve trio accompanying edge 66 and 88 and the hypotenuse will exist the rate that the trains will separate per second so:
[tex]H=\sqrt{(66^2+88^2}=\sqrt{(4356+7744} \\=110[/tex]
See more about distance at brainly.com/question/989117
There are 3 liters of orange juice at a school party. 10 students want to drink all of the orange juice,and they want to get exactly the same amount. How much orange juice can each get?
Answer:
Quantity of juice = 300 milliliters
Step-by-step explanation:
Given the following data;
Total quantity of juice = 3 liters
Number of students = 10 students
To find the quantity of orange juice each student can get;
First of all, we would have to convert the total quantity (volume) of juice into a unit that's divisible by 10 i.e liters to milliliters.
Conversion:
1 liter = 1000 milliliters
3 liters = 3 * 1000 = 3000 milliliters
Next, we determine the quantity each student get;
Quantity of juice = 3000/10
Quantity of juice = 300 milliliters
How to solve equations in which the variable is in an exponent
Answer:
It depends on the equation.
If the bases are equal and the variables are only in the exponents, set the exponents equal.
If there are variables in the exponents, but you cannot set the bases equal, then use logarithms.
Example 1:
[tex] 4^{2x + 5} = 4^9 [/tex]
Here you have the same base on both sides. The variables are in the exponents. Set the exponents equal and solve for x.
2x + 5 = 9
2x = 4
x = 2
Example 2:
[tex] 3^{2x} = 9^{6} [/tex]
The bases are different, but you can make the bases equal using laws of exponents. Remember that 9 = 3^2.
[tex] 3^{2x} = (3^2)^{6} [/tex]
[tex] 3^{2x} = 3^{12} [/tex]
Now you have equal bases, so the exponents must be equal.
2x = 12
x = 6
Example 3:
[tex] 10^{x + 2} = 9 [/tex]
Here you can't make the bases equal, so you take the log of both sides and use laws of logs.
[tex] \log(10^{x + 2}) = \log 3^2 [/tex]
[tex] (x + 2) \log 10 = 2 \log 3 [/tex]
Recall that: [tex] \log 10 = 1 [/tex]
[tex] x + 2 = 2 \log 3 [/tex]
[tex] x = 2 \log 3 - 2 [/tex]