ANSWER
[tex] \sqrt{13} = 3.606[/tex]
to the nearest thousandth.
EXPLANATION
The given irrational number is
[tex] \sqrt{13} [/tex]
We use the calculator to evaluate this to obtain,
[tex] \sqrt{13} = 3.605551...[/tex]
To round to the nearest thousandth means we are rounding to 3 decimal places.
The third decimal place is 5.
The next number is 5 so we round up.
[tex] \sqrt{13} = 3.606[/tex]
EASY! WILL MARK BRAINEST!! What is f(3) for the function f(x)=7x+5
Answer:
26 is the answer
Step-by-step explanation:
Which exponential function goes through the points (1, 8) and (4, 64)? f(x) = 4(2)x f(x) = 2(4)x f(x) = 4(2)−x f(x) = 2(4)−x
Answer:
y = 4(2^x)
Step-by-step explanation:
To write the exponential values, compare the y values. Notice they are multiples of 8 and they are increasing. This means the base is likely 2 or 4 since each of these numbers has the same multiples. Our options also only include base 2 and 4.
Try 4^1 = 4 and 4^4 = 256.
Try 2^1 = 2 and 2^4 = 16.
None of these give the exact values in the points. This means there is an initial value multiplied to them as well.
When x = 1 and the base is 4, the value is too small. But when x = 4, the value is too large. This cannot be reconciled.
When x = 1 and x = 4 for the base 2, both values are too small and could be multiplied by the same number to get the right values.
2*4 = 8
16*4 = 64
The initial value is 4 so the function is [tex]y = 4(2^x)[/tex]
(please for the sake of me passing highschool please god in heaven help me i dont want to fail highschool)
How long does it take Heather to do a single push-up?
A.
4 seconds
B.
14 seconds
C.
3 seconds
D.
2 seconds
Your answer is D. 2 seconds because her distance from the floor is consistent. Every push-up is 2 seconds apart, therefore it’s D.
Complete the square and write the equation in standard form. Then give the center and radius of the circle. 10x2 + 10y2 = 100
2 + y2 = 10 (0, 0), r = 10
x2 + y2 = 100 (0, 0), r = 10
x2 + y2 = 10 (0, 0),
r = 10‾‾‾√
(x - 10)2 +(y - 10)2 = 10 (10, 10),
r = 10‾‾‾√
Answer:
Center: (0,0)
Radius: [tex]r=\sqrt{10}[/tex]
Step-by-step explanation:
The given circle has equation
[tex]10x^2+10y^2=100[/tex]
In order to complete the square, we must make sure the coefficient of the quadratic terms are unity.
We divide through by 10 to obtain;
[tex]x^2+y^2=10[/tex]
The coefficient of the linear terms of both variables are zero.
Therefore the equation can be rewritten as;
[tex](x-0)^2+(y-0)^2=10[/tex]
Comparing to [tex](x-h)^2+(y-k)^2=r^2[/tex]
We have (h,k)=(0,0) to the center of the circle and [tex]r=\sqrt{10}[/tex] to be the radius of the circle.
Answer:
Equation: x² + y² = 10
center = (0, 0)
radius = √10
Step-by-step explanation:
The general equation of a circle is ;
(x - a)² + (y - b)² = r²
Where (a, b) is the coordinate of the center of the circle, and r is its radius.
Where the center is (0,0), the equation becomes,
x² + y² = r²
In our case we have;
10x² + 10y² = 100
dividing both side by ten,
x² + y² = 10
∴ center = (0, 0)
radius = √10
A jewelry store is having a going-out-of-business sale. All merchandise is marked 40% off the regular price. The regular price of a watch is $59.95 what is the amount of the discount and the sale price
Answer:
$35.97
Step-by-step explanation:
the regular price is 59.95
40% discount so
let's say the price now is x and i am gonna do fractions
x/59.95 = 40%/100
100 x X = 100x
59.95 x 40 = 2398
i divide 2398 by 100 which equal 23.98
40% is 23.98 and then i do 59.95 - 23.96 = 35.97
DONE!
The discount amount on the watch is $23.98 and the sale price after applying the 40% discount off the regular price of $59.95 is $35.97.
When a jewelry store is having a going-out-of-business sale, and all merchandise is marked 40% off the regular price, we can calculate the amount of the discount and the sale price using percentage formulas. For example, if a watch has a regular price of $59.95, we multiply this price by 40% (or 0.40) to find the discount amount.
To find the discount amount: $59.95 times 0.40 = $23.98
Next, to find the sale price, we subtract the discount amount from the regular price.
To find the sale price: $59.95 - $23.98 = $35.97
Therefore, the discount amount is $23.98, and the sale price of the watch is $35.97.
15 Points! Math help
Answer:
7Step-by-step explanation:
[tex]\dfrac{5^{11}}{5^x}=5^4\qquad\text{multiply both sides by}\ 5^x\\\\5^{11}=5^4\cdot5^x\qquad\text{use}\ a^n\cdot a^m=a^{n+m}\\\\5^{11}=5^{4+x}\iff11=4+x\qquad\text{subtract 4 from both sides}\\\\11-4=4-4+x\\\\7=x\to x=7[/tex]
what is the answer to -42-34+15= 61
Answer:
-61
Step-by-step explanation:
-42-34=-76= -61
find the volume of 2 , 10 1/5 , and 4 1/4
Answer:
86.7
Step-by-step explanation:
2 x 10.2 x 4.25 = 86.7
To find the volume you need to multiply all these 3 values.
After multiplying it all that amount will be the answer.
The volume of the given dimensions is [tex]\(86.7\)[/tex] cubic units.
To find the volume, we multiply the three given dimensions together. The dimensions given are [tex]\(2\)[/tex], [tex]\(10 \frac{1}{5}\)[/tex], and [tex]\(4 \frac{1}{4}\)[/tex].
First, we need to convert the mixed numbers to improper fractions:
1. Convert [tex]\(10 \frac{1}{5}\)[/tex] to an improper fraction:
[tex]\[ 10 \frac{1}{5} = 10 + \frac{1}{5} = \frac{50}{5} + \frac{1}{5} = \frac{51}{5} \][/tex]
2. Convert [tex]\(4 \frac{1}{4}\)[/tex] to an improper fraction:
[tex]\[ 4 \frac{1}{4} = 4 + \frac{1}{4} = \frac{16}{4} + \frac{1}{4} = \frac{17}{4} \][/tex]
Next, multiply the three dimensions together.
First, convert the whole number [tex]\(2\)[/tex] to a fraction:
[tex]\[ 2 = \frac{2}{1} \][/tex]
Now, multiply the fractions:
[tex]\[ \frac{2}{1} \times \frac{51}{5} \times \frac{17}{4} \][/tex]
[tex]\[ \frac{2 \times 51}{1 \times 5} = \frac{102}{5} \][/tex]
[tex]\[ \frac{102 \times 17}{5 \times 4} = \frac{1734}{20} \][/tex]
[tex]\[ \frac{1734}{20} = 86.7 \][/tex]
A company is evaluating a new biology program that is supposed to improve test scores. The box plots show the the results of biology test given before and after using the program. With the data, what is the most reasonable answer to the question: does the program improve test scores?
Answer:
No, because the median test score decreased 5 points.
Step-by-step explanation:
The middle line is is the median so, if the pre-test is 60 and the post-test is 55 then there is a 5 point difference.
can u guys please help me?
Answer:
9m
Step-by-step explanation:
The surface area of a cube is given by
SA = 6s^2 where s is the side length
We know the surface area is 486 and the side length is z
486 = 6z^2
Divide each side by 6
486/6 = 6z^2/6
81 = z^2
Take the square root of each side
sqrt(81) = sqrt(z^2)
9 = z
Each side has a length of 9m
The losing candidate in a mayoral election received 10,200 votes, which represented 30% of all votes cast in the election.
A. Dorian claims that the total number of votes cast in the mayoral election was 3,060. Dorian made a mistake in his calculations. Why is his claim not reasonable? Explain your answer.
B. Find the total number of votes cast in the mayoral election. Explain how you found your answer.
well, in the election, the losing candidate received 10200 votes, and we know that's 30% of the whole votes cast, le's say the whole amount is "x" or namely 100%.
B)
[tex]\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 10200&30\\ x&100 \end{array}\implies \cfrac{10200}{x}=\cfrac{30}{100}\implies \cfrac{10200}{x}=\cfrac{3}{10} \\\\\\ 102000=3x\implies \cfrac{102000}{3}=x\implies 34000=x[/tex]
A)
Dorian's 3060 is really 30% of 10200, however, the losing candidate received 30% of the total votes cast, and that is 10200, so Dorian mistakenly is using 30% of the 30% received by the losing candidate as point of reference for her total.
Final answer:
Dorian's claim is incorrect because dividing 10,200 votes by 30% (or 0.30) gives 34,000 votes, which is the correct total number of votes cast in the mayoral election. Therefore, the calculation shows that the total votes are much higher than Dorian's claim of 3,060 votes.
Explanation:
A. Dorian's claim that the total number of votes cast in the mayoral election was 3,060 is not reasonable because if the losing candidate received 10,200 votes which represented 30%, then the total votes should be much higher than 3,060. To find the total, you would divide the number of votes the candidate received by the percentage they represent.
B. To find the total number of votes cast in the mayoral election, you would set up the equation 10,200 = 0.30 * Total Votes. Dividing 10,200 by 0.30 gives the total number of votes cast, which is 34,000.
Equation: Total Votes = 10,200 votes / 0.30 = 34,000 votes
This is the mathematical relation relating the three sides, a, b, c, of a right triangle.
Answer:
It is the famous Pythagorean theorem which is this equation:
a^2 + b^2 = c^2,
where a and b are the legs and c is the hypotenuse.
Answer:
Pythagorean theorem
Step-by-step explanation:
Find the difference 5x/x^2-x-6 (-) 4/x^2+4x+4
The difference is [tex]\( \frac{5x^2 + 6x + 12}{(x-3)(x+2)(x+2)} \)[/tex].
To subtract the two rational expressions [tex]\( \frac{5x}{x^2-x-6} \) and \( \frac{4}{x^2+4x+4} \)[/tex], we need to find a common denominator.
First, factor the denominators:
1. x²-x-6 = (x-3)(x+2)
2. x²+4x+4 = (x+2)²
The common denominator will be (x-3)(x+2)(x+2).
Now, rewrite the expressions with the common denominator:
1. [tex]\( \frac{5x}{(x-3)(x+2)} \)[/tex]
2. [tex]\( \frac{4}{(x+2)^2} \)[/tex]
To subtract, the numerators remain the same, so the expression becomes:
[tex]\[ \frac{5x}{(x-3)(x+2)} - \frac{4}{(x+2)^2} \][/tex]
To combine the fractions, we need to rewrite the first fraction with the common denominator:
[tex]\[ \frac{5x(x+2)}{(x-3)(x+2)(x+2)} - \frac{4(x-3)}{(x-3)(x+2)(x+2)} \][/tex]
Now, we can subtract the fractions:
[tex]\[ \frac{5x(x+2) - 4(x-3)}{(x-3)(x+2)(x+2)} \\\[ = \frac{5x^2 + 10x - 4x + 12}{(x-3)(x+2)(x+2)} \\\[ = \frac{5x^2 + 6x + 12}{(x-3)(x+2)(x+2)} \][/tex]
So, the difference is [tex]\( \frac{5x^2 + 6x + 12}{(x-3)(x+2)(x+2)} \)[/tex].
To find the difference between the two rational expressions, we first need to factorize the denominators and simplify where possible. Let's break it down step by step:
1. Factorize the denominators:
[tex]\(x^2 - x - 6 = (x - 3)(x + 2)\) \(x^2 + 4x + 4 = (x + 2)^2\)[/tex]
2. We rewrite the expressions with common denominators:
[tex]\(\frac{5x}{(x - 3)(x + 2)} - \frac{4}{(x + 2)^2}\)[/tex]
3. To simplify these, we need a common denominator, The least common denominator is [tex]\((x - 3)(x + 2)^2\).[/tex], so to get it, we multiply (x + 2) with Expression 1 and (x - 3) with Expression 2 on both numerator and denominator. We get:
[tex]\(\frac{5x(x + 2)}{(x - 3)(x + 2)^2} - \frac{4(x - 3)}{(x - 3)(x + 2)^2}\)[/tex]
4. We combine the fractions:
[tex]\(\frac{5x(x + 2) - 4(x - 3)}{(x - 3)(x + 2)^2}\)[/tex]
[tex]\(= \frac{5x^2 + 10x - 4x + 12}{(x - 3)(x + 2)^2}\) \(= \frac{5x^2 + 6x + 12}{(x - 3)(x + 2)^2}\)[/tex]
So, the difference between the two rational expressions is [tex]\(\frac{5x^2 + 6x + 12}{(x - 3)(x + 2)^2}\).[/tex]
Factor.
x2−6x+9
Question 2 options:
(x−3)2
(x+3)2
(x−9)2
Answer:
(x-3)²
Step-by-step explanation:
x²-6x+9
x² can be written as (x)²
9 can be written as 3²
(x)²-6x +(3)
we can break 6x as 2(3)(x)
by using square formula
(a+b)²= a²-2ab+b²
Putting all the values back in expression we get
(x)²-2(3)(x)+(3)²
by closing formula we get
(x-3)²
Answer:
(x-3)2
Step-by-step explanation:
i took the test
an amphitheater was 19 seats in the front row, 22 in the second, 25 in the third, and so on, for 24 rows
how many seats are in the theater?
Answer:
Answer: 572
Step-by-step explanation:
A line passes through the points (5,20) and ( 7 , 22). Write a linear function rule in terms of x and y for this line.
Answer:
y = x + 15Step-by-step explanation:
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
The point-slope form of an equation of a line:
[tex]y-y_1=m(x-x_1)[/tex]
m - slope
(x₁, y₁) - point
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points (5, 20) and (7, 22). Substitute:
[tex]m=\dfrac{22-20}{7-5}=\dfrac{2}{2}=1[/tex]
[tex]y-20=1(x-5)[/tex]
[tex]y-20=x-5[/tex] add 20 to both sides
[tex]y=x+15[/tex]
constant of vairation for
y=4x
Answer:
Answer:
y=−4x is a direct variation with the constant of variation +(−4)
Any equation in (or modifiable into) the form y = a . x
is a direct variation with constant a
Step-by-step explanation:
Brooke paints the outsides of the square walls and triangular ceilings of her treehouse. What area does she paint?
Answer:
Broke paints [tex]216\ ft^{2}[/tex]
Step-by-step explanation:
we know that
The area of the outsides of the square walls and triangular ceilings of her tree house is equal to the area of four squares and four triangles
so
[tex]A=4[(6)^{2} +\frac{1}{2}(6)(6)]\\ \\A=4[36+18]\\ \\A=216\ ft^{2}[/tex]
The surface area of the square walls and triangular ceiling she painted is 216 ft²
How to find the surface area of the painted region?
The surface area of the painted region can be found as follows:
area of the square = l²
where
l = side lengthTherefore,
l = 6 ft
area of the square = 6² = 36 ft²
Area of the triangular region = 1 / 2 bh
where
b = baseh = heightTherefore,
area of the triangular region = 1 / 2 × 6 × 6 = 36 / 2 = 18 ft²
Therefore,
area of the painted region = 18(4) + 36(4) = 144 + 72 = 216 ft²
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Which of the following side lengths can form a triangle?
A) 2in, 3in, and 7in
B) 21cm, 23cm, and 44cm
C) 12mm, 36mm, and 53mm
D) 14ft, 17ft, and 30ft
Answer :
D
Solution :
14ft + 17ft = 30ft
31ft = 30ft
What is the degree of the function f(x)= x(x+1)2 (2x-3)(x+2)2
Answer:
6
Step-by-step explanation:
Given equation is [tex]f(x)= x(x+1)^2 (2x-3)(x+2)^2[/tex].
Now we need to find about what is the degree of the give function.
We know that degree of polynomial function is the highest exponent of the variable (x).
So we can either expand the whole equation or count the degree of each factor then add those to get the degree of the given function.
Second choice will be easier.
Degree of [tex]x[/tex] = 1
Degree of [tex](x+1)^2[/tex] = 2
Degree of [tex](2x-3)[/tex] = 1
Degree of [tex](x+2)^2[/tex] = 2
Hence degree of the given polynomial function = 1+2+1+2=6
PLZ HELP
Robert makes a monthly budget. His monthly
allowance is $40. He makes $25 each month from
mowing the neighbor’s yard. Robert’s monthly
expenses are $75. How much does he need to earn
from babysitting to balance his budget?
A $75
B $10
C $50
D $35
➷ 40 + 25 = 65
75 - 65 = 10
The correct answer would be B. $10
✽➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ ʜᴀɴɴᴀʜ ♡
(5*100)+(5*40)+(5*3)
Answer:
the answer is 715
Step-by-step explanation:
Answer:
715
Step-by-step explanation:
5*100
5*40
5*3
then add all together
Make sure to use order of operations
On a number line, show all values of x that have the absolute value less than 3
Unfilled circle on 3, filled circle on 0, line connecting the circles.
•—————o
0 3
The values of x that have the absolute value less than 3 are plotted in the figure attached.
What is the number line?The number line should be represented in the straight line that have the zero point in the middle, having the positive and negative numbers that should be listed on the other side.
Given that to plot all values of x that have the absolute value less than 3,
It can be written as |x| ≤ 3
We can say that,
The values of x that have the absolute value greater than 3 are -3 and 3. It should be located into the equal intervals.
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Which of the following steps were applied to ABC obtain A' B'C'?
A Shifted 4 units left and 3 units down
B. Shifted 3 units left and 3 units down
C. Shifted 3 units left and 2 units down
D. Shifted 4 units left and 2 units down
D. Shifted 4 units left and 2 units down
The answer to your problem is d.
Select the domain and range of F. F = {(x, y ) | x + y = 10}. Domain: {10} Range: {10} Set F is not a function and does not contain a domain or range Domain: All Real Numbers Range: All Real Numbers
The equation x + y = 10 represents a linear relationship that spans all real numbers in both x and y directions. Thus, the domain and the range for this function are both all real numbers.
Explanation:The equation for the set F is x + y = 10, which is a straight line on a graph. This line extends infinitely in both directions, meaning that there is no restriction on the possible values of x (the domain) and y (the range). Therefore, the correct answer for both domain and range would be 'All Real Numbers'.
To visualize this, imagine you plug in any number for x and solve the equation for y. Similarly, you can do the same, guessing a y-value and solving for x. No matter the number chosen, there will always be a corresponding number on the other side, whether positive, negative, or zero.
Remember that a domain is the set of all inputs (or 'x' values) that a function can accept, and a range is the set of all possible outputs (or 'y' values) that the function can produce. In this example, the function can handle and generate all real numbers, so its domain and range are all real numbers.
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QUICKK
Solve for x. You must write your answer in fully simplified form.
To solve divide both sides by 4 to cancel out the 4 on the x side to get x alone. Then just do -10/4. That gives you 2.5 so (X=2.5). Hope I helped and have a great day and night
Answer:
-5/2
Step-by-step explanation:
We start with 4x = -10 and want to solve this for x.
We divide both sides by 4 (which isolates x), obtaining:
x = -10/4
and then we reduce this to x = -5/2.
Help o need this before Monday. Please give the letter a b c or d:)
Answer:
The answer is A
Step-by-step explanation:
what is 0.5357142857 in degrees
Answer:
Do you mean like a "degree" of a circle?
Step-by-step explanation:
Answer:
Are you talking about the degrees of a circle?
Step-by-step explanation:
Which is the equation of a parabola with vertex (0, 0), that opens to the right and has a focal width of 8? a.y^2=8x b.y^2=-8x c. x^2=8y d. x^2=-8y
Answer:
b
Step-by-step explanation:
What is the volume of a rectangular prism with the dimensions: base 3 1 2 cm, height 1 1 2 cm, and length 5 1 2 cm?
Answer:
The volume of a rectangular prism is [tex]28\frac{7}{8}\ cm^{3}[/tex]
Step-by-step explanation:
we know that
The volume of the rectangular prism is equal to
[tex]V=BHL[/tex]
Convert the given dimensions to an improper fractions
[tex]B=3\frac{1}{2}\ cm=\frac{3*2+1}{2}=\frac{7}{2}\ cm[/tex]
[tex]H=1\frac{1}{2}\ cm=\frac{1*2+1}{2}=\frac{3}{2}\ cm[/tex]
[tex]L=5\frac{1}{2}\ cm=\frac{5*2+1}{2}=\frac{11}{2}\ cm[/tex]
substitute in the formula
[tex]V=(\frac{7}{2})(\frac{3}{2})(\frac{11}{2})=\frac{231}{8}\ cm^{3}[/tex]
Convert to mixed number
[tex]\frac{231}{8}=\frac{224}{8}+\frac{7}{8}=28\frac{7}{8}\ cm^{3}[/tex]