Answer:
[tex]\boxed{100 - 10x}[/tex]
Step-by-step explanation:
The distributive property states that
a(b + c) = a·b + a·c
We can use this property solve your equation.
10(10 – x)
Distribute the 10
10×10 – 10×x
Do the multiplications
[tex]\boxed{100 - 10x}[/tex]
Is it related, does it have neither or neither?
The answer should be function
Jacob is tasked with the duty of selecting one name from a list of all employees in his company to award him or her and his or her family an all-expenses-paid trip to Canada. After selecting a name from a drum with all employee names in it, the lucky winner is Sally from recruiting. What kind of sampling is this?
Stratified random sampling
Systematic sampling
Simple random sampling
Convenience sampling
Answer:
I think it is C. If im wrong, then it is A because I know that it is random sampling.
Step-by-step explanation:
Answer:
C: Simple Random Sampling
Julia bought 300 pounds of grain for her
horses. When a rainstorm flooded the
storage shed, 30% of the grain rotted and
had to be thrown out. How many pounds
of grain will Julia be able to use?
Answer: 210
Step-by-step explanation:
10% of 300 is 30
30x3=90
30%=90
90-300=210
Answer:
210 pounds
Step-by-step explanation:
So you can solve this by making an equation of 300 times 30 is equal to 100 times x so 9000 is equal to 100x so x=90. So she can use 210 pounds.
Vicky earned $30 for washing 6 cars if Vicky charges at the same rate how many hours will it take for her to earn three $35
$7
30 divided by 6 is 5, then you take that 35 and divide it by the 5and you will end up with $7
Please help me with the first one
Answer:
5:3
Step-by-step explanation:
it would be 5:3 because it is the ratio of consonant to vowels
Parallelogram CARD has vertices (5, -2), (-1, -2), (1, 2), and (7, 2), respectively. The diagonals, CR and AD intersect at Point T. What is the length of CT? What is the length of DT?
Complete your work in the space provided or upload a file that can display math symbols if your work requires it. If necessary, round lengths to the nearest hundredth of a unit.
Answer:
a) T(3,0)
b) |CT|=2.83
c) |DT|=4.47
Step-by-step explanation:
The given parallelogram CARD has vertices (5, -2), (-1, -2), (1, 2), and (7, 2)
The diagonals of a parallelogram bisect each other.
Find the midpoint of one diagonal, that gives us the point of intersection of the diagonals T.
The midpoint of C(5,-2) and (1,2) is
[tex]T(\frac{5+1}{2},\frac{-2+2}{2} )[/tex]
[tex]T(3,0)[/tex]
b) To find the length of CT, we use the distance formula; where C(5,-2) ahd T(3,0).
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]d=\sqrt{(3-5)^2+(-2-0)^2}[/tex]
[tex]d=\sqrt{4+4}[/tex]
[tex]d=\sqrt{8}[/tex]
[tex]d=2\sqrt{2}=2.83[/tex]
The length of CT is 2.83 to the nearest hundredth
c) To find the length of DT, we use the distance formula; where D(7,2) ahd T(3,0).
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]d=\sqrt{(3-7)^2+(2-0)^2}[/tex]
[tex]d=\sqrt{16+4}[/tex]
[tex]d=\sqrt{20}[/tex]
[tex]d=2\sqrt{5}=4.47[/tex]
The length of DT is 4.47 to the nearest hundredth
Which expression is equivalent to 2(2a-5) - (a-3)?
A-2
3a-7
A-7
3a-13
Answer:
3a - 13
Step-by-step explanation:
2(2a - 5) - (a - 3)
4a - 10 - a - 3
Combine like terms:
4a - a - 10 - 3
3a - 13
Answer:
3a-13
Step-by-step explanation:
You save 3 ,260.00 in a savings account earning a 3.55% APR compounded monthly. How much is the total interest earned by the end of the third month?
The answer will be $29.02. :)
Answer:
$29.02.
Step-by-step explanation:
We have been given that you save 3 ,260.00 in a savings account earning a 3.55% APR compounded monthly. We are asked to find the total interest earned by the end of the third month.
We will use compound interest formula to solve our given problem.
[tex]A=P(1+\frac{r}{n})^{nt}[/tex], where,
A = Amount of interest after t years,
P = Principal amount,
r = Annual interest rate in decimal form,
n = Number of periods interest is compounded per year,
t = Time in years.
[tex]3.55\%=\frac{3.55}{100}=0.0355[/tex]
[tex]\text{3 months}=\frac{3}{12}\text{ year}=\frac{1}{4}\text{ year}[/tex]
Upon substituting our given values in above formula, we will get:
[tex]A=3,260(1+\frac{0.0355}{12})^{12\times \frac{1}{4}}[/tex]
[tex]A=3,260(1+0.002958333)^{3}[/tex]
[tex]A=3,260(1.002958333)^{3}[/tex]
[tex]A=3,260*1.00890128109888[/tex]
[tex]A=3289.0181763823\approx 3289.02[/tex]
Now, we will subtract principal amount from final amount to find amount of interest.
[tex]\text{Amount of interest}=3289.02-3260[/tex]
[tex]\text{Amount of interest}=29.02[/tex]
Therefore, you will earn am amount of $29.02 by the end of the third month.
Which reaction takes place in a nuclear fission reactor?
Image below
Answer:
The reaction that takes place in a nuclear fission reactor is answer D.
Step-by-step explanation:
Nuclear fission reactions involves the process by which large atomic nuclei are bombarded with energetic particles and release of an enormous amount of nuclear energy, which mainly ends up as heat energy.
So now, consider the nuclear reaction from D, after the uranium nucleus absorbs the neutron its split into two smaller nuclei (often radioactive themselves), Krypton and Barium and releases more neutrons (or energy).
Which set of points represents a function?
A. (7, 1), (1, 2), (5, 3), (7, 3), (6, 3)
B. (1, 7), (6, 1), (7, 3), (4, 9), (6, 3)
C. (2, 1), (2, 4), (5, 3), (4, 9), (6, 3)
D. (1, 7), (2, 1), (5, 3), (4, 9), (6, 3)
Answer:
D
Step-by-step explanation:
D would be the correct answer because the x values have their individual y values. D is the only answer where the x point doesn't repeat, and the only time it can repeat is if the x points have the same y value such as: (2,4) (2,4)
For each value of x, the value of y is different. Then the correct option is D.
What is a function?A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.
Individual y values exist for each of the x values. The only instance the x point can recur is if the x locations have about the same y value, as in D. (2,4).
Then the points represents a function is (1, 7), (2, 1), (5, 3), (4, 9), (6, 3).
Thus, the correct option is D.
More about the function link is given below.
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Use the method of completing the square to transform the quadratic equation into the equation form (x + p)2 = q.
-4 + 4x + x2 = 0
A) (x + 2)2 = 4
B) (x + 2)2 = -4
C) (x + 2)2 = 8
D) (x + 2)2 = -8
Your answer is A) (x+2)2=4
If you put $2,000 into an interest bearing account, where interest is compounded quarterly (4 times a year) at 6%, how long will it take for your money to triple?
Answer:
[tex]18.4\ years[/tex]
Step-by-step explanation:
we know that
The compound interest formula is equal to
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
[tex]t=?\ years\\ P=\$2,000\\ r=0.06\\n=4\\A=\$6,000[/tex]
substitute in the formula above
[tex]\$6,000=\$2,000(1+\frac{0.06}{4})^{4t}[/tex]
[tex]3=(1.015)^{4t}[/tex]
Applying log both sides
[tex]log(3)=4tlog(1.015)[/tex]
[tex]t=log(3)/[4log(1.015)][/tex]
[tex]t=18.4\ years[/tex]
Which statement is true about the local minimum of the graphed function?
A Over the interval [–4, –2], the local minimum is 0.
B Over the interval [–2, –1], the local minimum is 25.
C Over the interval [–1, 4], the local minimum is 0.
D Over the interval [4, 7], the local minimum is -7.
Answer:
D
Step-by-step explanation:
A is wrong because on the point -4, the function is equal to -12 and a states the local minimum on [-4, -2] is equal to zero. Since -12 < 0, A is wrong.
B is wrong because the function never even reaches 25 on the interval [-2, -2]
C is wrong because we can see that 3.9 is zero and the function is decreasing there. fro this we can determine the functions value at x = 4 is less than 0, meaning the minimum value is also less than 0.
Lastly, we can see that the lowest point fro 4 to 7 is at -7, meaning that D is correct.
D should be your answer
What is the measure of a
70º
It's a supplementary angle so 180º - 110º
Answer:
a = 70
b=60
Step-by-step explanation:
Angle a and 110 are supplementary, which means they add to 180 degrees
a+ 110 = 180
Subtract 110 from each side
a+110-100=180-110
a = 70
The three angles of a triangle add to 180
a+ b+ 50 = 180
We know a = 70
70 + b + 50 = 180
120 + b = 180
Subtract 120 from each side
120-120 + b = 180-120
b = 60
The equation 2x = 3y - 5 when written in slope-intercept form is:
Answer:
y=2/3x+5/3
Step-by-step explanation:
The equation written in slope intercept form will be y = (2/3)x + 5/3.
What is the slope intercept form?When you know the slope of the line (m) to be investigated and the point of y-intercept (0,c) is also given, you utilize the slope intercept formula.
Slope intercept formula:
y = mx + c
m is the slope
c is the y intercept
Given equation in the question is
2x = 3y - 5
3y = 2x + 5
y = (2/3)x + (5/3)
Now if we compare this equation to slope intercept form we will get m = 2/3 and c = 5/3.
Hence the slope intercept form of the equation is y = (2/3)x + (5/3).
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In 2012, the population of a city was 5.57 million. The exponential growth rate was 3.69% per year.
A) find the exponential growth function.
B) Estimate the population of the city in 2018.
C) When will the population of the city be 8 million?
D) Find the doubling time.
Answer:
c
Step-by-step explanation:
Write an equation of the direct variation that includes the point (5,1)
Answer:
y = 1/5k
Step-by-step explanation:
y = kx
1= k(5)
1/5 = l
If the perimeter of a square garden is 84 ft, what is the area of the garden?
Answer:
Step-by-step explanation:
7056
Which of the following is true about the expression radical 3 times radical 12
There is nothing here, but I do know that the answer is 6⃣.
Answer:
It represents the product of two irrational numbers and is equivalent to a rational number.
What do z€ R mean for math as an answer to a inequality
Answer:
Its used for the domain and it means "the members of all REAL numbers" which refers to their being no imaginary number, for instance in inequalities that have square roots, it cant be a negative number otherwise you will get a imaginary number.
Step-by-step explanation:
The 'z€ R' notation means 'z is an element of R' or 'z belongs to R', which signifies that the variable z is a part of the set of real numbers. This indicates the domain for the variable in an inequality. Also, the principle of the z-score in statistics describes how many standard deviations above or below the mean a certain value lies.
Explanation:The notation z€ R in mathematical terms is used to indicate that the variable z belongs to the set of real numbers. Real numbers (often denoted by R) include all the numbers that can be shown on the number line; this set comprises rational (e.g., integers, fractions) and irrational numbers (like roots of numbers that are not perfect squares). When related to an inequality, this statement provides a domain of numbers that can satisfy said inequality, helping solve problems or equations.
A related concept is the z-score in statistics. The z-score tells you how many standard deviations a value is above or below the mean. Values larger than the mean have positive z-scores, but smaller values have z-scores that are negative. The absolute value of the z-score indicates the distance from the mean, irrespective of direction.
An example: a variable x in an equation can be represented in terms of z-score as x₁ = µ + zơ, which would mean that x is greater than the mean µ when z is positive, and less when z is negative.
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If f(x) = 2x – 1 and g(x) = x2 – 3x - 2, find (f + g)(x).
O
A. (f+ g)(x) = -x-3
B. (f + g)(x) = x2 - x - 3
C. (+ g)(x) = x + 5x + 3
D. (f+ g)(x) = x-3
15
Answer: Option B
[tex](f + g)(x)=x^2 - x - 3[/tex]
Step-by-step explanation:
In this problem we have the function
[tex]f(x) = 2x - 1[/tex]
and the function
[tex]g(x) = x^2 - 3x - 2[/tex]
They ask us to perform the operation:
[tex](f + g)(x)[/tex]
Therefore we must perform the algebaic summa of the function f plus the function g
[tex](f + g)(x)=f(x) + g(x)[/tex]
[tex](f + g)(x)=2x - 1 + x^2 - 3x - 2[/tex]
Now we siplify the expression
[tex](f + g)(x)=x^2 - x - 3[/tex]
when you count by 1's from any integer what are you counting?
Answer: the total number is 1
Step-by-step explanation:
Counting by 1's from any integer involves enumerating individual units, making use of discrete data in our powers-of-ten notation system. Counting is a precise method of measurement, yielding an exact number. However, not all quantities derived from measurements are exact.
Explanation:When you count by 1's from any integer, you are essentially enumerating individual units. This is related to the concept of quantitative discrete data in mathematics. Discrete data take on only certain numerical values. For example, if you count the number of fingers on your hand, you get integer values such as one, two, three, up to five.
In our powers-of-ten notation system, each place in our numbering is ten times greater than the place to its right. This system got started because we humans have ten fingers and began counting with them. So when you count by 1's, you are in fact moving from one place to another in this system, starting from the given integer.
Also, counting is a precise method of measurement. The number of items being counted does not change while the process is underway, producing an exact number. Even with counting, however, some quantities can be derived from measurements, which are not exact due to practical limitations.
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Make x the subject
(x^2 -3)/2 =y
would it be this? eeek
10011 lower 2 x 11 lower 2 ?
ANSWER
[tex] 10011_{2} \times 11_{2}= 111001_{2}[/tex]
EXPLANATION
We want to multiply:
[tex] 10011_{2} \times 11_{2}[/tex]
in base 2
One can choose to convert everything to base 10
This gives 19×3=57
We then convert 57 to base two to get
[tex]57 = 111001_{2}[/tex]
Or perform the multiplication in base 2 straight forward.
10011
× 11
10011
+10011
111001
------------
[tex]10011_{2} \times 11_{2} = 111001_{2}[/tex]
cual es la raiz cuadrada de 81
La raíz de la cuadra de 81 es 9
Answer:
the square root o 81 is 9
Step-by-step explanation:
9x9=81
How does your cosine graph change when including the d-value?
Answer:
Changing value of "d" changes the vertical shift of the cosine graph.
Step-by-step explanation:
Question says to find about how does your cosine graph change when including the d-value.
General equation of cosine function can be given as:
[tex]y=a\cdot\cos\left(bx-c)\right)+d[/tex]
In that formula, value of "d" gives vertical shift.
So changing value of "d" changes the vertical shift of the cosine graph.
Please help!! also please explain I would like to understand.
Answer:
A
Step-by-step explanation:
First, put this equation in slope intercept form.
[tex]y=mx+b[/tex]
Where m is the slope and b is the y intercept.
[tex]y+1>2(x-1) \\ \\ y+1>2x-2 \\ \\ y>2x-3[/tex]
Since it's greater than, the solution set is above the line, effectively eliminating graph D.
Now we should graph it.
We can see that the point [tex](2,1)[/tex] is on the graph, and only Graph A has that point. Therefore, Graph A is the correct graph.
Answer:
A
Step-by-step explanation:
We can simply treat the inequality like an equation because the numbers are on the line. That is y + 1 = 2(x - 1).
Then, we can plug in some numbers:
If x = 2: y + 1 = 2(2 - 1)
y + 1 = 2
y = 1
So one point on the line is (2, 1). B, C, and D don't work because it is impossible for this point to be on the line; the x coordinate corresponds to another y-coordinate, or vise-versa ((3, 1), (2, 0) and (3, 1), respectively) . Therefore, the correct answer is A.
A company needs 713 slices of pizza for a company party. If each pizza is cut into 8 slices, about how many whole pizzas should the company order? A) 60 B) 70 C) 80 D) 90
Answer:
D
Step-by-step explanation:
To find the number of WHOLE pizzas needed, we need to divide the total number of slices needed (713) by 8 slices. Thus
[tex]\frac{713}{8}=89.125[/tex]
because we can't order fractional pizza, we need to round up. So we will need 90 pizzas.
Correct answer is D.
Need help I don’t know what there saying
Answer:
I think they want you to put a closed circle on top of far going to the left. I'm not sure though :)
Answer:
that is not the correct graph of the solution
It would be 5 with an arrow pointing to the right. With an open circle
Step-by-step explanation:
It would not be filled in because 4 is not greater than or equal to x it is greater than. The arrow would point to the right because those are all the options for the solution, there are multiple.
Find the measure of CD.
Round to the nearest tenth.
PLEASE NEED HELP!!!
Answer:
89.0°
Step-by-step explanation:
The measure of arc CD is the same degree measure as the central angle.
To find the central angle use the right triangle.
The segment from the centre to the chord is a perpendicular bisector, thus
the third side of the triangle = 12.7 ÷ 2 = 6.35
Calculate one half of the central angle using the sine ratio and multiply by 2 for the whole central angle
sin( one- half ) =[tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{6.35}{9.06}[/tex], hence
central angle = 2 × [tex]sin^{-1}[/tex] ([tex]\frac{6.35}{9.06}[/tex] ) ≈ 89.0°
Hence measure of CD ≈ 89.0°