Answer:
D U E = { 6,8,9,10,11}
Step-by-step explanation:
U stands for union, which is join the sets together
D U E = { 6,8,9,10,11}
PLEASE HELP ASAP!
How do I solve and simplify these problems using distributive property?
2x + 10
2(3x + 5)
2x + 10 can be simplified using the distributive property by factoring a 2 out of each term.
2(x + 5)
2(3x + 5) can be solved by applying the distributive property, by multiplying each term inside the parentheses by 2.
6x + 10
All of the triangles are 45-45-90 triangles. Find x
Please show how you did it.
Answer:
3/√2
Step-by-step explanation:
find the details in the attachment (this is not the shortest way).
The shortest way is: to prove ED=AB, then to calculate x=AB/√2=3/√2.
Please help 200*50/-9+564*-4= ? I
Answer:
-3367 1/9
Step-by-step explanation:
This is what calculators are for.
Perform the multiplication and division before the addition.
... = 10000/-9 -2256
... = -1111 1/9 -2256
... = -3367 1/9
_____
If you don't have a calculator, the Google and Bing search boxes can be relied upon to use the correct order of operations.
For the function f(x)= log5 3x-10 explain why x=2 is not in the domain
Answer:
Step-by-step explanation:
The simple answer is that logs cannot be negative and if you insert a 2 where the x is located you get a negative. Logs have to be >= 0
[text]log_5 (3x-10) = log_5 (-4)[tex]
It all has to do with logs being tied to exponents and exponents being tied to logs. Actually an inverse of an exponent is a log.
Choose the correct simplification of the expression 3 times b all over a to the power of negative 2.
3a2b
a to the 2nd power over 3 times b
3 times a to the 2nd power all over b
Already simplified
pleaseee help
Answer:
Step-by-step explanation:
The question will look like (3b)/(a^-2)
To simplify, note the (a^-2). It is a negative, so flip the placement of the monomial. Note that the term is located in the decimal, so when it is flipped, it goes to the numerator (vice versa if it is opposite)
(3b)/(a^-2) = (3b)(a²)
3a²b, or (A) is your answer choice
~
Answer:
Option A) 3a2b
Step-by-step explanation:
A triangle is 3 inches wide and 1 inch tall. If its enlarged to a height of 4 inched, how wide will it be?
12 in
Step-by-step explanation:If the dilation is uniform, both height and width will be multiplied by 4.
New height = (1 in) × 4 = 4 in
New width = (3 in) × 4 = 12 in
Solve for u: u/p + u/q =m, if , p≠−q
Answer:
The solution for u is:
[tex]u = \frac{mpq}{q+p}[/tex]
Step-by-step explanation:
The first step to solve this problem is finding the least common multiplicator between p and q, that is pq, so:
[tex]\frac{u}{p} + \frac{u}{q} = m[/tex]
[tex]\frac{uq + up}{pq} = m[/tex]
[tex]uq + up = mpq[/tex]
[tex]u(q + p) = mpq[/tex]
[tex]u = \frac{mpq}{q+p}[/tex]
The required solution of the given equation for u is equal to
(m(p × q)) / (q + p).
Given that:
Equation: u/p + u/q = m, if p ≠ -q
To solve for u in the equation u/p + u/q = m, use the method of finding a common denominator and simplifying the expression.
First, need to find a common denominator for the fractions u/p and u/q. The common denominator in this case would be (p × q).
Multiplying the equation by (p × q) to get,
u(q) + u(p) = m(p × q)
Next, combine the terms with u as:
u × q + u × p = m(p × q)
Now, factor out u as:
u(q + p) = m(p × q)
To solve for u, divide both sides of the equation by (q + p):
u = (m(p × q)) / (q + p)
Therefore, the solution for u is u = (m(p × q)) / (q + p).
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There are 120 girls and 102 boys in 6th grade at Travis Intermediate. If 17 boys are in the first PE class, how many girls are likely in that class?
A
120 girls
B
22 girls
C
17 girls
D
20 girls
Answer:
Number of girls in PE class is 20
D. 20 girls
Step-by-step explanation:
We are given
Number of girls in 6th grade =120
Number of boys in 6th grade =102
so, firstly we will find ratios of girls and boys
[tex]\frac{G}{B}=\frac{120}{102}[/tex]
now, we have
17 boys are in the first PE class
Let's assume number girls in PE class as 'x'
we know that
ratios of boys and girls must be equal
so, we get
[tex]\frac{G}{B}=\frac{120}{102}=\frac{x}{17}[/tex]
now, we can solve for x
[tex]\frac{120}{102}=\frac{x}{17}[/tex]
[tex]x=17\times \frac{120}{102}[/tex]
[tex]x=20[/tex]
So,
Number of girls in PE class is 20
HELP ASAP PLEASE you make $20 an hour and work fro 40 hours a week, you are paid biweekly and have $185 total deducted from your paycheck, what is your gross annual earnings?
Answer:
615
Step-by-step explanation:u make $20 a week and u worked 40 hours u jus do 40*20=$800
800-185=615 im pretty sure hope this helps
Answer:
Weekly net pay is $36790
Weekly gross pay is $41600
Step-by-step explanation:
Net pay is the gross pay minus taxes
Net pay = gross pay - taxes
Gross pay = hours worked * hourly rate
Net pay = hours worked * hourly rate - taxes
We know the
hours worked = 40
Hourly rate = 20
tax rate = 185 bi weekly = 185/2 = 92.5 weekly
Net pay = 40 * 20 - 92.5
Net pay = 800-92.5
Net pay = 707.5
This is the weekly net pay
Assuming we work 52 weeks a year
Weekly net pay is 52* 707.5 = 36790
Weekly gross pay is 40*20 * 52 = 41600
Please help me Simplify
5²- 2²
Answer:
21
Step-by-step explanation:
Simplify 5^2 to 25
25-2^2
Simplify 2^2 to 4
25-4
Answer
21
The value of the expression will be 21.
What is the value of the expression?When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The expression is given below.
⇒ 5²- 2²
Simplify the expression, then the value of the expression will be given as,
⇒ 5²- 2²
⇒ 25 - 4
⇒ 21
The value of the expression will be 21.
More about the value of expression link is given below.
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CORRECT ANSWER = BRAINLIEST
A right rectangular prism has these dimensions: Length − Fraction 1 and 1 over 2 units Width − Fraction 1 over 2 unit Height − Fraction 3 over 4 unit How many cubes of side length Fraction 1 over 4 unit are required to completely pack the prism without any gap or overlap?
Answer:
36
Step-by-step explanation:
The length of 1 1/2 units is equivalent to 3/2 = 6/4 = 6×(1/4) = 6 cubes.
The width of 1/2 units is equivalent to 2/4 = 2×(1/4) = 2 cubes.
The height of 3/4 units is equivalent to 3×(1/4) = 3 cubes.
Then, in terms of cubes, the dimensions are 6 × 2 × 3. The volume is the product of these dimensions, so is ...
... 6 × 2 × 3 = 36 . . . . cubes
Answer:
36Step-by-step explanation:
The sum of two numbers is 65 . One number is 4 times as large as the other. What are the numbers?
Answer:
13
Step-by-step explanation:
65=5x(because number A is four times number B therefore, it is really B five times)
Then divide both sides by 5.
13=x
To find two numbers when their sum is 65 and one number is 4 times the other, the smaller number is 13, and the larger number is 52.
number, and 4x be the larger number.
Write an equation: x + 4x = 65.
Solve the equation: 5x = 65, x = 13.
The smaller number is 13, and the larger number is 4 times 13, which is 52.
On a hot summers day 262 people used the public swimming pool. The daily prices are 1.50 for children and 2.00 for adults. The receipts for admission totalled 470.00. How many children and how many adults swam st the pool that day?
Let x represent the number of adults who swam at the pool. Then (262-x) is the number of children. Multiplying these numbers by the corresponding admission charge will give the associated receipts. We are given the total of receipts, so we can write the equation ...
... 2.00x +1.50(262-x) = 470.00
... 0.50x +393.00 = 470.00 . . . . . simplify
... 0.50x = 77.00 . . . . . . . . . . . . . . .subtract 393
... 77.00/0.50 = x = 154 . . . . . . . . . divide by the coefficient of x
... (262-x) = 108 . . . . . . . . . . . . . . . .find the number of children admitted
50 POINTS!! 1. [tex]\frac{4}{6} =\frac{x}{42} 2. \frac{21}{15}=\frac{p}{5}[/tex]
Solve for X and P
the answer is
1. x=28
2. p=7
A company manufactures skateboards. Each skateboard requires 1 6/7 hours of labor to assemble and 2 1/2 hours of labor to finish and stain. The cost of labor to the company is $36.00 each hour. Find the product 36\left(1\frac{6}{7}\ +\ 2\frac{1}{2}\right)36(1 7 6 + 2 2 1 ) using the distributive property. Describe what each individual term in the expression represents in the context of this situation after you distribute the 36, AND describe what the final result represents. Show your work, and explain
Answer: The total cost will be $156.85.
Step-by-step explanation:
Since we have given that
Time taken by labor to assemble the each skateboard is given by
[tex]1\frac{6}{7}\ hours\\\\=\frac{13}{7}\ hours[/tex]
Time taken by labor to finish and stain each skateboard is given by
[tex]2\frac{1}{2}\ hours\\\\=\frac{5}{2}\ hours[/tex]
Cost of labour to the company per hour = $36.00
According to question,
We will use "Distributive Property":
[tex]a\times (b+c)=a\times b+a\times c[/tex]
[tex]36(\frac{13}{7}+\frac{5}{2})\\\\=36\times \frac{13}{7}+36\times \frac{5}{2}\\\\=\frac{468}{7}+18\times 5\\\\=\frac{468}{7}+90\\\\=\frac{468+630}{7}\\\\=\frac{1098}{7}\\\\=\$156.85[/tex]
Hence, the total cost will be $156.85.
From 1994 to 1995 the sales of a book decreased by 80%. If the sales in 1996 were the same as in 1994, by what percent did they increase from 1995 to 1996?
400%
Step-by-step explanation:Suppose sales in 1994 were 100 of some unit. Then in 1995, they were ...
... 100 - 80% × 100 = 100 × (1 - 0.80) = 100 × 0.20 = 20 . . . . units
Then the percent increase to sales of 100 units in 1996 can be found from ...
... percent change = ((new value) - (old value))/(old value) × 100%
... = (100 -20)/20 × 100%
... = 80/20 × 100%
... = 400%
The increase from 1995 to 1996 was 400%.
Find approximations for the input where the functions share a solution.
Answer:
x ≈ 0, x ≈ 2.5
Step-by-step explanation:
The left point of intersection is very near the y-axis, where x=0.
The right point of intersection is somewhat below the midpoint between x=2 and x=4. It seems to be just about at the midpoint between that midpoint (x=3) and the line at x=2. We estimate the value at about x=2.5.
_____
If we knew the actual function definitions, we could solve for the points of intersection.
The work of a student to solve the equation 4(2x − 4) = 8 + 2x + 8 is shown below:
Step 1: 4(2x − 4) = 8 + 2x + 8
Step 2: 6x − 8 = 16 + 2x
Step 3: 6x − 2x = 16 + 8
Step 4: 4x = 24
Step 5: x = 6
In which step did the student first make an error and what is the correct step?
Step 2; 8x − 4 = 2(6 + x + 6)
Step 2; 8x − 16 = 16 + 2x
Step 3; 6x − 2x = 16 − 8
Step 3; 6x + 2x = 16 + 8
Answer:
The answer is B. Step 2; 8x − 16 = 16 + 2x
Hope This Helps!
what is 31 and 5/250 as a decimal
Answer:
31.020
Step-by-step explanation:
Multiply the fraction by 4/4 to get the denominator to 1000. Simplify to a denominator of 100 if you like. Then use place value to write your number.
... 31 + 5/250 = 31 + 20/1000 . . . . thirty-one and twenty thousandths
... = 31 + 0.020 = 31.020 . . . or . . . 31.02
One day in January, the high temperature was −3.6∘ and the low temperature was −22.3∘ .
What was the difference between the high and low temperatures that day?
Enter your answer, as a decimal.
Answer:
The difference is 18.7 degrees
Step-by-step explanation:
To find the difference in the temperature, we take the high temperature and subtract the low temperature.
Difference = high - low
= -3.6 - (-22.3)
= -3.6+22.3
= 18.7
The difference is 18.7 degrees
find the exponential model of best fit for the points (-3,5),(1,12),(5,72),(7,137). Explian how you got your answer. Round values to the nearest hundredth.
f(x) = 11.93·1.42^x
Step-by-step explanation:I entered the data into a graphing calculator and made use of its exponential regression function to find the coefficients of ...
... y = a·b^x
It told me ...
... a ≈ 11.9304, b ≈ 1.41885
In accordance with the problem statement, these values are rounded to hundredths to get the answer.
_____
Comment on the graph
The given points and two curves are show. The solid red curve is the exponential regression curve produced by the calculator. The dotted blue curve is the one you get when you round the numbers to the nearest hundredth.
According to the diagram which of the following statement is true?
Cos x =4/5
Sin x = 5/3
Tan x = 5/4
Cos x = 3/5
We know that :
✿ [tex]\mathsf{Cos\theta = \frac{Adjacent\;Side}{Hypotenuse}}[/tex]
✿ [tex]\mathsf{Sin\theta = \frac{Opposite\;Side}{Hypotenuse}}[/tex]
✿ [tex]\mathsf{Tan\theta = \frac{Opposite\;Side}{Adjacent\;Side}}[/tex]
From the Figure :
✿ [tex]\mathsf{Cosx = \frac{4}{5}}[/tex]
✿ [tex]\mathsf{Sinx = \frac{3}{5}}[/tex]
✿ [tex]\mathsf{Tanx = \frac{3}{4}}[/tex]
Only 1st Statement is True
1st Option is the Answer
which is equivalent to the following expression (3m^2+2mn-n^2)+(m^2+4mn-n^2)
Answer:
4m² + 6mn - 2n²Step-by-step explanation:
[tex](3m^2+2mn-n^2)+(m^2+4mn-n^2)\\\\=3m^2+2mn-n^2+m^2+4mn-n^2\qquad\text{combine like terms}\\\\=(3m^2+m^2)+(2mn+4mn)+(-n^2-n^2)\\\\=\boxed{4m^2+6mn-2n^2}[/tex]
Based on the available information, the expression (3m² + 2mn - n²) + (m² + 4mn - n²) is equivalent to 4m² + 6mn - 2n².
How the equivalent expression is determined?To simplify the expression (3m² + 2mn - n²) + (m² + 4mn - n²), we can combine like terms.
Like terms have the same variables and the same exponents.
Let's group the like terms together:
(3m² + m²) + (2mn + 4mn) + (-n²- n²)
Combining like terms within each group, we get:
4m² + 6mn - 2n²
Therefore, in this case, it is concluded that the expression (3m² + 2mn - n²) + (m² + 4mn - n²) is equivalent to 4m² + 6mn - 2n².
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Given: KLMN is a trapezoid, KL=MN, m∠1=m∠2, LM/KN = 8/9 , Perimeter KLMN=132 Find: The length of midsegment.
34
Step-by-step explanation:KM is a transversal relative to parallel lines LM and KN. Thus ∠2 = ∠MKN ≅ ∠KML and ∠KML = ∠1. The two base angles of ΔKLM are equal, so that triangle is isosceles.
Then the ratios of all the sides are ...
... KL : LM : MN : KN = 8 : 8 : 8 : 9
The sum of these ratio units is 33, so each one stands for 132/33 = 4 perimeter length units. Then segment LM is 8×4 = 32 perimeter length units, and KN is 9×4 = 36 permeter length units.
The midsegment is the average of lengths LM and KN, so is ...
... (32 +36)/2 = 34 . . . . perimeter length units
The length of midsegment is 34 units.
Given data:
The trapezoid KLMN, Such that KL = MN.
And [tex]m\angle1 = m\angle2[/tex], LM/KN = 8/9
Also, perimeter of KLMN = 132 units.
To find:
The length of midsegment (KM).
In the given problem, we can observe that KM is a transversal relative to parallel lines LM and KN. Which means,
[tex]\angle MKN = \angle KML\\\angle 2=\angle 1\\[/tex]
Clearly, two base angles are equal. So, the triangles KLM and KMN are isosceles.
Taking the ratios of sides of two triangles as,
= KL : LM : MN : KN
= 8 : 8 : 8 : 9
The sum of ratio units is, 8 + 8 +8 +9 = 33. Then, the value of each ratio is,
[tex]= \dfrac{perimeter}{33} \\\\=\dfrac{132}{33} \\\\=4[/tex]
Then the length of segment LM is,
[tex]LM = 8 \times 4 = 32 \;\rm perimeter \;\rm length \;\rm units[/tex]
And, length of segment KN is,
[tex]KN = 9 \times 4 = 36 \;\rm perimeter \;\rm length \;\rm units[/tex]
Then, the length of midsegment KM is obtained by taking the average of LM and KN as,
[tex]KM = \dfrac{LM+KN}{2} \\\\KM = \dfrac{32+36}{2}\\KE = 34[/tex]
Thus, the length of midsegment is 34 units.
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why write a quadratic function whose graph has the given characteristics vertex :(2,3) point on graph (0,-1)
f(x) = -(x -2)² +3
Step-by-step explanation:We can fill in the vertex (h, k) values immediately in the vertex form ...
... f(x) = a(x -h)² +k
To find the value of a, we solve the equation for a at some point other than the vertex. The given point is (0, -1), so we can use that:
... -1 = a(0 -2)² +3
... -4 = 4a . . . . . . . . . subtract 3, simplify
... -1 = a . . . . . . . . . . . divide by 4
Now, we know the function is ...
... f(x) = -(x -2)² +3
find each missing measure, measure of angle 1,2,3,4
Answer:
75°56°124°41°Step-by-step explanation:
∠1 is complementary to 15°, so is 90° -15° = 75°
∠2 completes the triangle with angles 49° and 75°, so is 180° -49° -75° = 56°
∠3 is supplementary to ∠2, so is 180° -56° = 124°
∠4 is complementary to 49°, so is 90° -49° = 41°
bao and Calvin use 6 lemon to make every 4 quarts of lemonade, they want to make 12 quarts of lemonade. how many lemons do they need?
What is the decimal value of sin S?
(Round your answer to the nearest thousandth if necessary.)
Answer:
0.471
Step-by-step explanation:
The mnemoic SOH CAH TOA reminds you that ...
... Sin = Opposite/Hypotenuse
... sin(S) = 32/68 ≈ 0.471
A set of n = 15 pairs of scores (x and y values) has ssx = 4, ssy = 25, and sp = 6. what is the pearson correlation for these data? 6/100 6/10 6/(100/15)
Answer:
We are given:
[tex]SSx = 4[/tex]
[tex]SSy=25[/tex]
[tex]Sp=6[/tex]
We know that the Pearson's correlation coefficient is:
[tex]r=\frac{S_{p}}{\sqrt{SS_{x} \times SS_{y}} }[/tex]
[tex]=\frac{6}{\sqrt{4 \times 25} }[/tex]
[tex]=\frac{6}{\sqrt{100} }[/tex]
[tex]=\frac{6}{10}[/tex]
Therefore, the option 6/10 is correct
polynomial are given:P
[tex] p |x | = {x}^{3} - 3 {x}^{2} + 2x - 1[/tex]
show if
[tex]x = 1[/tex]
is the root of the polynomial.
Erpress the polynomial
[tex]p |x| [/tex]
in the tratment
[tex]p |x| = (x - 1)( {x}^{2} + ax + b) + c[/tex]
Answer:
x = 1 is not a rootp(x) = (x -1)(x^2 -2x +0) -1Step-by-step explanation:
a) p(1) = 1³ -3·1² +2·1 -1 = 1 -3 +2 -1 = -1 . . . . not zero
b) Dividing p(x) by x-1 gives x² -2x +0 with a remainder of -1 (as found in part (a)). So the function can be written as ...
... p(x) = (x -1)(x² -2x +0) -1
_____
Polynomial division can be done using synthetic division or long division. The latter can be done by hand or by using any of several on-line calculators. Attached is output from one of them.