This is the result :7(x-6)(x-6)
Evaluate the expression (ab)2 for a = 2 and b = 5. 100 50 20 625
the answer is 20 HOPE THIS HELPS lol
Answer:the answer is 20
Please help asap 25 pts
Step 1. Subtract 3 from both sides
2|7x - 4| = 51 - 3
Step 2. Simplify 51 - 3 to 48
2|7x - 4| = 48
Step 3. Divide both sides by 2
|7x - 4| = 48/2
Step 4. Simplify 48/2 to 24
|7x - 4| = 24
Step 5 Break down the problem into these 2 equations
7x - 4 = 24
-(7x - 4) = 24
Step 6. Solve the 1st equation: 7x - 4 = 24
x = 4
Step 7. Solve the 2nd equation: -(7x - 4) = 24
x = -20/7
Step 8. Collect all solutions
x = -20/7,4
The answer is C.
What is 42,429 rounded to the nearest hundred
42,429 rounded to the nearest hundred is 42,400.
42,429 rounded to the nearest hundred is 42,400, as the tens digit (2) is less than 5, so we round down.
Explanation:The question is asking to round the number 42,429 to the nearest hundred. To do this, we look at the tens place, which is 2. If the tens digit is 4 or lower, we round down; if it is 5 or higher, we round up. In this case, the digit is lower than 5, so we round down. Thus, 42,429 rounded to the nearest hundred is 42,400.
The two matrices show the cost of three different electronics prices (rows) at two different stores (columns). Matrix F is from 1995 and Matrix H is from 2005. Which matrix shows the change in prices from 1995 to 2005?
Note: Answer choices and matrices regarded to this question is below.
[tex]H-F=\left[\begin{array}{ccc}198&201\\176&172\\256&267\end{array}\right]-\left[\begin{array}{ccc}234&245\\198&187\\312&345\end{array}\right]\\\\=\left[\begin{array}{ccc}198-234&201-245\\176-198&172-187\\256-312&267-345\end{array}\right]\\\\=\left[\begin{array}{ccc}-36&-44\\-22&-15\\-56&-78\end{array}\right]\\\\Answer:\ \boxed{A}[/tex]
A circle has been drawn in the center of a square. A dot will be randomly placed inside the square. What is the probability that the dot will be placed in the purple section?
A) 11%
B) 20%
C) 38%
D) 40%
Answer: D) 40%
==========================================================
Work Shown:
Area of purple rectangle (ignore circular cutout for now) = base*height = 6*12 = 72
I'm assuming the center of the circle is located on the right edge of the purple rectangle. If so, then we can subtract off half the circle's area from the purple rectangle area
Semicircle Area = (pi*r^2)/2 = (pi*3^2)/2 = 14.1371669
Area of purple region = (Rectangle Area) - (Semicircle Area)
Area of purple region = 72-14.1371669
Area of purple region = 57.8628331
-------
Now divide this area by 144 as this is the total area of the entire largest square (12 by 12 square) to get 57.8628331/144 = 0.401825 which is approximate. This rounds to 0.40 and converts to 40% which explains how I got choice D as the answer
Answer:
That probability is approx. 40%. See below.
Step-by-step explanation:
That probability is the area of the purple section divided by the total area of the square before coloring purple.
This area of the square is (12 cm)^2, or 144 cm^2.
Half the area of the circle is pi*(3 cm)^2, or 9*pi cm^2.
Thus, the purple area is (144 cm^2) / 2 - (9/2)*pi cm^2, or (72 - 9*pi/2) cm^2. This is approx. 57.86.
The ratio of this purple area to the full area of the square is:
57.86 cm^2
--------------------------------- = 0.4 (approximately)
144 cm^2
How many 1/4 cup servings are in 8 cups of cashews?
Divide 8 with 1/4
(8)/(1/4)
Flip the second fraction, and change the division into multiplication, then solve
(8)/(1/4) = 8 x 4 = 32
32 is your answer
hope this helps
the answer is 32. you just divide 8 by 1/4 and you should get 32.
The figure below is a parallelogram. Find the value of X and Y
The values of x and y is 2 and 17 respectively.
We need to find the value of x and y.
What is parallelogram?A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.
Now, x+2=4
⇒x=2
y-5=12
⇒y=17
Therefore, the values of x and y is 2 and 17 respectively.
To learn more about a parallelogram visit:
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4. If a = (2/5)^2 ÷(9/5)^0 , find the value of a2 ?
Answer: [tex]a^{2} = \frac{16}{625}[/tex]
Step-by-step explanation:
[tex]a = (\frac{2}{5})^{2}[/tex] ÷ [tex](\frac{9}{5})^{0}[/tex]
[tex]a = (\frac{2}{5})^{2}[/tex] ÷ 1
[tex]a = (\frac{2}{5})^{2}[/tex]
[tex](a)^{2} = ((\frac{2}{5})^{2})^{2}[/tex]
[tex]a^{2} = (\frac{2}{5})^{4}[/tex]
[tex]a^{2} = \frac{2^{4}}{5^{4}}[/tex]
[tex]a^{2} = \frac{16}{625}[/tex]
Please find attached photograph for your answer.
There a sixteen friends sharing four cup cakes if they divide the cupcakes evenly so that they can each get four pieces of a cupcake how many pieces do they need to cut each cupcake into
if you know the rate of a water leak in gallons per hour, how can you find the number of hours it takes for 1 gallon yo leak out?
Amount = Rate * Time
1 = Rate * Time
1/Rate = Time
Hopefully this helps!
Question 10
A laboratory employee is mixing a 10% saline solution with 4% saline solution. How much of each solution is needed to make 500 milliliters of a 6% solution.
170 milliliters of the 10% solution and 340 milliliters of 4% solution
167 milliliters of the 10% solution and 333 milliliters of 4% solution
110 milliliters of the 10% solution and 210 milliliters of 4% solution
155 milliliters of the 10% solution and 300 milliliters of 4% solution
Answer : 167 milliliters of the 10% solution and 333 milliliters of 4% solution
A laboratory employee is mixing a 10% saline solution with 4% saline solution. How much of each solution is needed to make 500 milliliters of a 6% solution.
Let x represent the milliliters of 10% saline solution
Total ml of solution is 500 ml
so 500-x represents the milliliters of 4% saline solution
The equation becomes
ml of 10% solution + ml of 4% solution = 500ml of 6%
10x + 4(500-x) = 500 * 6
10x + 2000 - 4x = 3000
6x + 2000 = 3000
Subtract 2000 on both sides
6x = 1000
so x= 166.666... Hence x = 167 ml
So 167 ml is mixed with 10% of saline solution
500-x represents the milliliters of 4% saline solution
Replace x with 167
500 - 167 = 333 milliliters of 4% saline solution
So answer is
167 milliliters of the 10% solution and 333 milliliters of 4% solution
ruhana owns a workshop where her team of technicians refurbishes tv sets and dvd players, and then she sells them for a profit. She has set a weekly sales target of at least 35 tv sets or dvd players. Additionally, she must ensure that her team collectively works at least 100 hours each week. It takes 4 hours to refurbish a tv set and 2 hours to refurbish a dvd player.
it costs $75 to refurbish a tv set and $40 to refurbish a dvd player. If ruhana wants to minimize costs, which point represents the optimal number of tv sets and dvd players that her team should refurbish each week?
Answer: Ruhana and her team should refurbish 15 tv sets and 20 dvd players each week to minimize the cost.
Step-by-step explanation:
For the given situation let the number of tv sets be x and number of dvd players be y.
Now we have to minimize the cost as it costs $75 to refurbish a tv set and $40 to refurbish a dvd player.
i.e. Minimize z=75x+40y
it gives subject to the constraints
4x+2y≥100......(1)(100 hours each week. It takes 4 hours to refurbish a tv set and 2 hours to refurbish a dvd player.)
x+y≥35.......(2)(weekly sales target is to refurbish at least 35 tv sets or dvd players.)
To plot equation (1) we need to find coordinates of points lying on line (1)
put x=0 gives 2y=100⇒y=50
put y=0 gives 4x=100⇒x=25
So we got points (0,50) and(25,0) for (1)..............(3)
Similarly for equation (2)
put x=0 gives y=35
put y=0 gives x=35
So we got points (0,35) and(35,0) for (2).................(4)
with the help of (3) and (4) we plot the following graph (assume x≥0 and y≥0)
The unbounded feasible region determined by constraints gives the corner points as A(0,50),B(15,20)and C(35,0).
from we get the value of z is minimum at point B (15,20) .
hence we got our optimal solution at B (15,20), where x is the number of tv sets and y is the number of dvd players .
therefore Ruhana and her team should refurbish 15 tv sets and 20 dvd players each week to minimize the cost.
Answer: Look at photo
Step-by-step explanation:
Please help with geometry homework
Area = Base x height:
area = 3 1/2 x 3/4 = 2 5/8 sq. ft.
The answer is the 2nd one.
The answer would be the second one or 2 5/8 sq ft hope that helps
An exponential function f(x) is reflected across the y-axis to create function g(x). Which is a true statement regarding f(x) and g(x)?
A) The two functions have no points in common.
B) The two functions have the same initial value.
C) The two function have opposite output values of each other for any given input value.
D) The graph of the two functions would look exactly the same.
Answer:
B) The two functions have the same initial value.
Step-by-step explanation:
Solve for x.
4x-39>-43 AND 8x+31<23
Choose 1 answer
a) x<-1 or x>-1
b) x<-1
c) x>-1
d) There are no solutions
e) All values of x are solutions
To solve the system of inequalities 4x-39>-43 and 8x+31<23, we isolate x in both equations. The solution to the system of inequalities is x>-1 or x<-1.875, but since the second inequality contradicts the first one, there are no solutions.
Explanation:To solve the inequalities 4x-39>-43 and 8x+31<23, we need to isolate x in both equations.
For the first equation, we add 39 to both sides and then divide by 4 to get x>-1.
For the second equation, we subtract 31 from both sides and then divide by 8 to get x<-1.875.
Therefore, the solution to the system of inequalities is x>-1 or x<-1.875, but since the second inequality contradicts the first one, there are no solutions.
Hi can you help?
Find the missing x- and y-values and Pythagorean triples using the identity given
[tex](x^{2}-y^{2})^{2}+(2xy)^{2}+(x^{2}+y^{2})^{2}[/tex]
X Value: 4
Y Value: 3
Pythagorean Triples: ?
X Value: 5
Y Value: ?
Pythagorean Triples: (9,40,41)
X Value: ?
Y Value: 3
Pythagorean Triples: (27,36,45)
X Value: 7
Y Value: 5
Pythagorean Triples: ?
(x²-y²)² + (2xy)² = (x²+y²)²
Find the missing x- and y-values and Pythagorean triples using the identity given
A Pythagorean triple consists of three positive integers a, b, and c, that satisfy the equation from the Pythagorean theorem, thus, a² + b² = c², such triple is commonly written (a,b,c).
We are given the equation : (x²-y²)² + (2xy)² = (x²+y²)² since this, we have :
a = (x²-y²)
b = (2xy)
c = (x²+y²)
Question 1)
X Value = 4
Y Value = 3
Pythagorean triples: ?
We can replace the values of x and y, to determine a, b and c.
a = (x²-y²) = (4²-3²) = 16-9 = 7
b = (2xy) = (2*4*3) = 24
c = (x²+y²) = (4²+3²) = 16+9 = 25
Answer 1 : Pythagorean triples : (7,24,25)
Question 2)
X Value = 5
Y Value = ?
Pythagorean Triples: (9,40,41)
Now we have a, b, and c, to determine Y
b = (2xy) = 40
Y = 40/2x = 40/2*5 = 40/10 = 4
Answer 2 : Y = 4
Question 3)
X Value = ?
Y Value = 3
Pythagorean Triples: (27,36,45)
Now we have a, b, and c, to determine X
b = (2xy) = 36
X = 36/2y = 36/2*3 = 36/6 = 6
Answer 3 : X = 6
Question 4)
X Value = 7
Y Value = 5
Pythagorean Triples: ?
We can replace the values of x and y, to determine a, b and c.
a = (x²-y²) = (7²-5²) = 49-25 = 24
b = (2xy) = (2*7*5) = 70
c = (x²+y²) = (7²+5²) = 49+25 = 74
Answer 4 : Pythagorean triples : (24,70,74)
Hope this helps!
[tex]\textit{\textbf{Spymore}}[/tex]
By using the given identity and substituting known values of x and y, we can find missing x or y values and compute the Pythagorean triples. For instance, when x=4 and y=3, the Pythagorean triple is (7,24,25). Similarly, we can find missing triples or variables for other sets.
Explanation:This question pertains to the topic of Pythagorean triples and their relationship with a given identity. A Pythagorean triple consists of three positive integers (a, b, c), such that a2 + b2 = c2. Inserting known values of x and y into the identity provided can help us find the Pythagorean triples.
For x=4 and y=3: (42 - 32)2 = 72, (2*4*3)2 = 242, (42 + 32)2 = 252. Therefore Pythagorean triple is (7,24,25).For x=5, the Pythagorean triple is (9,40,41), therefore by reversing the process we find y=4.For y=3, the Pythagorean triple is (27,36,45), therefore by inserting values and solving the equation we find x=6.Finally, for x=7 and y=5, the process yields the Pythagorean triple (12,35,37).Learn more about Pythagorean triples here:https://brainly.com/question/31900595
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Help I need a awnser
The answer would be 8/35
Study shows that 26% of car owners parallel park regularly and 74% do not. Does the Grafton picked the data fairly
It's not possible to determine if Grafton's data collection was fair or not based on the provided information, as the question lacks details like the size of the sample used and where the sample was taken from. Accurate and representative data collection is a critical part of conducting a study.
Explanation:Based on the data provided in the question, it's not possible to say whether Grafton picked the data fairly or not. The principles of statistics tell us that for data to be considered fair, it must be representative of the population being studied. In the context of the question, this means that for the data to be considered fair, it must accurately represent the car owning population. The question, however, does not provide enough information for us to make this determination.
For example, we don't know the sample size that Grafton used, where the sample was taken from, or any information about the population the data is supposed to represent. Without this additional data, we cannot determine if the data collection was biased or not. Remember, data collection is a crucial part of conducting a valid study and it's important to ensure that the sample used is unbiased and representative of the whole population.
Learn more about Data Fairness here:https://brainly.com/question/29641871
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For the data shown in the scatter plot, which is the best estimate of r?
A. -0.95
B. -0.65
C. 0.65
D. 0.95
The best estimate of r on the scatter plot is (b) -0.65
How to determine the best estimate of rFrom the question, we have the following parameters that can be used in our computation:
The image of the scatter plot
On the scatter plot, we can see that
The points roughly appear to be on a straight line
Also, we can see that
As the x values increases the y values decreases
This represents a [negative linear] association
Because of the rough relationship, the closest estimate is (b) -0.65
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Which logarithmic equation is equivalent to the exponential equation below 5c=125
log₅125 = c
[tex]125 = 5^{c}[/tex]
[tex]5^{3} = 5^{c}[/tex]
3 = c
Answer:
log₅125 = c
Step-by-step explanation:
Extended Response
6. The coordinates of the vertices of parallelogram RSTU are R(0, 0), S(2, 3), T(6, 3), and U(4, 0). What are the coordinates of the vertices of Ry=x(RSTU)?
Answer:
The Coordinate of the vertices of Parallelogram RSTU are R(0,0), S(2,3),T(6,3) and U (4,0).
we have to find the vertices of a point which cuts the side of parallelogram ST .It is given that line y = x passes through R.
Suppose that it cuts the side ST at M (p,q).
Equation of line passing through T(6,3)and S (2,3) is
[tex]\frac{y-3}{x-2}= \frac{3-3}{6-3}\\\frac{y-3}{x-2} = 0\\y- 3=0[/tex]
it passes through (p,q)∴
∴ q -3 =0 ...........(1)
Line y=x passes through (p,q).
p -q=0
p=q
Equation (1) becomes
p= q=3
So the line y =x cuts TU at M (3,3).
An international airport sells scarves for 19 US dollars, 150 Hong Kong dollars, 130 South African rand, or 14 euros. If the current exchange rate is 1 US dollar = 8 Hong Kong dollars = 7 South African rand = 0.7 euros, which currency is the best deal for customers?
Express everything in US$:
US$: $19
Hong Kong: 150 / 8 = $18.75
SAR: 130/7=$18.57
Euro: 14/0.7=$20
Best price is in SA rand.
Answer:
South African rand
Step-by-step explanation:
HELP ASAP PLSSSSSSS
Select the correct answer.
What is the rhyme scheme in this excerpt from Robert Frost’s "The Road Not Taken"?
Two roads diverged in a yellow wood,
And sorry I could not travel both
And be one traveler, long I stood
And looked down one as far as I could
To where it bent in the undergrowth;
A.
abacb
B.
abaab
C.
ababa
D.
babab
Answer:
B because eaxh section either repeats itself or is close to repeating its previous part
Step-by-step explanation:
Help please!!
Celine observed that 80% of patrons at the local library liked reading sci-fi novels. If 35 patrons did not like reading sci-fi novels, how many patrons did enjoy sci-fi novels?
Part A: Write an equation in one variable that can be used to find the total number of patrons at the library? Define the variable used in the equation.
Part B: How many patrons enjoy reading sci-fi novels? Show your work.
Answer: Part A = (100% - 80%)P = 35, Part B = 140
Step-by-step explanation:
Percentage: Like + Don't like = 100%
80% + Don't like = 100%
-80% -80%
Don't like = 20%
People: 20% of Patrons = Don't Like
0.20 x Patrons = 35
÷ 0.20 ÷ 0.20
Patrons = 175
Now, let's write the equation we used to get that answer:
Let P represent the total number of patrons, then the equation is:
(100% - 80%)P = 35
= (1.00 - 0.80)P = 35
= 0.20P = 35
= P = 175
Part B:
80% of Patrons = Like
0.80 x 175 = Like
140 = Like
Elect two binomials that are factors of this trinomial. X^2-x-30
Answer:
so what’s the answer
Step-by-step explanation:
Use the drop-down menus to complete each equation so the statement about its solution is true.
no solutions:
7-5+3x-1 = __x + __
one solution:
7-5+3x-1 = __x +__
infinitely Many Solutions
7−5+3x−1=__ x +__
FILL IN THE BLANKS PLEASE :))
Answer:
1.3x+9
2.1x+4
3.3x+1
Step-by-step explanation:
Which basic geometric figure is labeled as CD? A. Plane B. Segment C. Line D. Angle
Answer:
B
Step-by-step explanation:
In mathematics, we usually label a segment using two letters, one at the beginning of the segment and the second one at the end. On the other hand, in mathematics, angles are labeled using 3 letters (∠ABC).Lines are labeled using just one capital letter (where the line starts)And finally a plane is generally labeled using 3 letters (Plane ABC)Therefore a geometric figure labeled CD would be a segment and the correct answer is B)
What is the equation of the line that passes through (-5,6) and (3,-10)??
Thirty six and nine thousandths greater then four tens
is thirty six and nine thousandths greater than four tenths
Answer:
Yes, thirty six and nine thousandths is greater than four tenths
Step-by-step explanation:
Thirty six and nine thousandths greater then four tens
Thirty six is 36
nine thousandths is 9 times 1/1000 is equal to 0.009
Thirty six and nine thousandths =[tex]36+0.009= 36.009[/tex]
four tenths is 4 times 1/10 is equal to 0.4
now we compare 36.009 and 0.4
36 is greater than 0.4
So, 36.009 is greater than 0.4
Yes, thirty six and nine thousandths is greater than four tenths
Please help asap 32 pts
[tex]-7(3x-7)+21x\geq50\qquad|\text{use distributive property}\\\\(-7)(3x)+(-7)(-7)+21x\geq50\\\\-21x+49+21x\geq50\\\\(-21x+21x)+49\geq50\\\\49\geq50\ FALSE\\\\Answer:\ \text{a - no solution}[/tex]