Answer:
12/25
Step-by-step explanation:
There were a total of 48 males, so 48/100 = 12/25.
+---------------+------+--------+-------+
| | Male | Female | Total |
+---------------+------+--------+-------+
| Prefers Dogs | 36 | 20 | 56 |
+---------------+------+--------+-------+
| Prefers Cats | 10 | 26 | 36 |
+---------------+------+--------+-------+
| No Preference | 2 | 6 | 8 |
+---------------+------+--------+-------+
| Total | 48 | 52 | 100 |
+---------------+------+--------+-------+
does the table represent a function why or why not?
Answer:
Yes, because each x-value corresponds to one y value.
Step-by-step explanation:
If you look at the table, you notice that there is one output (y) for every input (x). This means that it is a function. It would NOT be a function if you had two outputs for an input. For example, there are two x values that are 6. For one coordinate pair, the table says (6,9) and (6,8). Since there are two values for the same input- it wouldn't be a function. In this case, there is an input of 4 and 5 with the same output. That is okay! Even though they have the same y value, those inputs still only have ONE output.
What the answer now hurry up and answer fast question
Answer:
927.0 cm²
Step-by-step explanation:
Step 1: find Z
m < Z = 180 - (28 + 118) (sum of ∆)
= 180 - 146
Z = 34°
Step 2: Find side XY using the law of sines
[tex] \frac{XY}{sin(34)} = \frac{42}{sin(28)} [/tex]
Cross multiply
[tex] XY*sin(28) = 42*sin(34) [/tex]
[tex]XY*0.469 = 42*0.559[/tex]
Divide both sides by 0.469
[tex]\frac{XY*0.469}{0.469} = \frac{42*0.559}{0.469}[/tex]
[tex]XY = 50.06[/tex]
XY ≈ 50 cm
Step 3: find the area.
Area of ∆ = ½*XY*YZ*sin(Y)
XY ≈ 50 cm
= ½*50*42*sin(118)
= 25*42*0.8829
Area = 927.045
Area ≈ 927.0 cm² (nearest tenth)
What is the difference between a parallelogram and a rectangle? a Both pairs of opposite sides are congruent and parallel. b Contains four right angles. c The diagonals bisect each other. d Both pairs of opposite angles are congruent.
Answer:
b. Contains four right angles.
Step-by-step explanation:
A parallelogram has two pairs of opposite sides that are both congruent and parallel, as does a rectangle.
A parallelogram usually does NOT have four right angles, but a rectangle does. b Contains four right angles is the difference between a parallelogram and a rectangle.
The diagonals of a parallelogram bisect each other, and so do the rectangle's diagonals.
The opposite angles of parallelograms are congruent, and all four angles of a rectangle are congruent, so this is a similar aspect of both a parallelogram and a rectangle.
Hope this helps!
A una granja llegaron 54 ovejas 24 vacas 30 cerdos los cuales se quieren repartir en corrales con igual numero de animales de forma que haya la mayor cantidad posible en cada corral ¿cuantos animales posibles deben ir en cada uno de los corrales?
Answer: 6 animals should go in each pen.
Step-by-step explanation:
Total sheep = 54
Total cows = 24
Total pigs = 30
Highest number of animals are possible in each pen such that animals are distributed in pens with the same number = Greatest common divisior (54,24, 30)
54= 6 x 9
24= 6 x 4
30 = 6 x 5
So, Greatest common divisior (54,24, 30) = 6
Hence, 6 animals should go in each pen.
What is the slope of a line perpendicular to one with a slope of {-2}{3}.
Answer:
3/2
Step-by-step explanation:
Perpendicular lines have slopes that multiply to -1
m * -2/3 =-1
Multiply by -3/2 to isolate m
m * -2/3 * -3/2 = -1 * -3/2
m = 3/2
The perpendicular line has a slope of 3/2
For what values of the following expressions are true: |a−5|=5−a
Answer:
Whenever a-5<0 or a<5
Step-by-step explanation:
So if you have an absolute value, that turns into two equations. The one we care about is -(a-5)=5-a. After distributing the negative through the left side of the equation, you'll get that 5-a=5-a, which is an identity. But you can only say that abs(a-5)=5-a when a-5<0. To see a visual representation of this, graph both sides of the equation in desmos.
A builder wrote the measurements needed for a door.
height of door
2032 mm
width or door
Why did the builder write these measurements using millimetres instead of cm or m?
Answer:
Check the answer below.
Step-by-step explanation:
This is a very trivial but professional question. Note that all of millimetre, centimetre and metres are acceptable metric units but the millimetre is more preferable by builders and architects because:
1. It is easier to work with integer values on building and architectural plans, an advantage given by measuring and recording in millimetre.
2. working in millimetre allows for precision. The builder will record values that are very close to the true value
3. The measurement will be easily readable by anybody that sees it.
A restaurant catered a party for 45 people. A child’s dinner (c) cost $15 and an adult’s dinner (a) cost $25. The total cost of the dinner was $1,015. How many children and adults were at the party? Use the table to guess and check.
Number of People
a
c
c + a = 45
15 c + 25 a = 1,015 dollars
9 adults and 36 children
10 adults and 35 children
34 adults and 11 children
36 adults and 9 children
Answer:
34 adults and 11 children
Step-by-step explanation:
15 times 11 is 165dollars for kids
25 times 34 adults equals 850 dollars
add it and its 1015
Answer:
34 and 11
Step-by-step explanation:
Shrina is selling cookie dough for her soccer team. She sold 2 tubs of
Oatmeal Raisin and 2 tulbs of Peanut Butter.
How much money did she make?
Oatmeal Raisin
$6 a tub
$22
$24
Peanut Butter
$5 a tub
$20
$11
Answer: 22
Step-by-step explanation:
She sold two tubs of Oatmeal Raisins and it's 6 dollars a tub so we can do 6*2 or 6+6 (doesn't matter). We get $12. Then, she also sells 2 tubs of Peanut Butter, and since it's $5 a tub, then we do 5*2 or 5+5 to get 10. We add 12 and 10 (12+10) and get 22.
I'm not sure if this is right because you added $22, $24, $20, and $11 and I'm not sure what the purposes of those are.
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
w²-30w+210=0
Step-by-step explanation:
2w + 2l = 60 , w + l = 30, l = 30 - w
wl = 210
w(30-w) -210 = 0
30w - w²-210 = 0
w²-30w+210=0
Suppose $x-3$ and $y+3$ are multiples of $7$. What is the smallest positive integer, $n,$ for which $x^2+xy+y^2+n$ is a multiple of $7$? Enter your answer. I need Immediate help or you wont get the points.
In the language of modular arithmetic, we're given
[tex]x-3\equiv0\pmod7\implies x\equiv3\pmod7[/tex]
[tex]y+3\equiv0\pmod7\implies y\equiv-3\equiv4\pmod7[/tex]
Then x = 7a + 3 and y = 7b + 4 for integers a and b.
Substitute these into the quadratic expression and simplify:
[tex]x^2+xy+y^2+n\equiv0\pmod7[/tex]
[tex](7a+3)^2+(7a+3)(7b+4)+(7b+4)^2+n\equiv0\pmod7[/tex]
[tex]49a^2+42a+9+49ab+28a+21b+12+49b^2+56b+16+n \equiv 0\pmod7[/tex]
[tex]37+n\equiv 0\pmod7[/tex]
[tex]n\equiv-2\equiv5\pmod7[/tex]
which means the smallest positive integer n we are looking for is 5.
identify the coefficient of x
1. 3xy³
2. xy
___
5
3. 3
___ x y
4
4. 3
___ x²y
4
Answer:
3
1/5
3/4
3/4
Step-by-step explanation:
Coefficient is a number that is always written in front of a term.
3xy^3=3
xy/5=1/5
3/4xy=3/4
3/4x^2y=3/4
Hope this helps ;) ❤❤❤
i need help im confused on how to do this. need correct answer
Answer:
11√6
Step-by-step explanation:
5√6 +6√6 will equal to 11√6, because since √6 is the same, you just add the number on the outside
Find the area of the shaded region
Answer:
[tex] \mathsf{ {5x}^{2} + 28x + 21}[/tex]
Option A is the right option.
Step-by-step explanation:
Let's find the area of large rectangle:
[tex] \mathsf{(3x + 6)(2x + 4)}[/tex]
Multiply each term in the first parentheses by each term in the second parentheses
[tex] \mathsf{ = 3x(2x + 4) + 6(2x + 4)}[/tex]
Calculate the product
[tex] \mathsf{ = 6 {x}^{2} + 12x + 12x + 6 \times 4}[/tex]
Multiply the numbers
[tex] \mathsf{ = 6 {x}^{2} + 12x + 12x + 24}[/tex]
Collect like terms
[tex] \mathsf{ = {6x}^{2} + 24x + 24}[/tex]
Let's find the area of small rectangle
[tex] \mathsf{(x - 3)(x - 1)}[/tex]
Multiply each term in the first parentheses by each term in the second parentheses
[tex] \mathsf{ = x( x - 1) - 3(x - 1)}[/tex]
Calculate the product
[tex] \mathsf{ = {x}^{2} - x - 3x - 3 \times ( - 1)}[/tex]
Multiply the numbers
[tex] \mathsf{ = {x}^{2} - x - 3x + 3}[/tex]
Collect like terms
[tex] \mathsf{ = {x}^{2} - 4x + 3}[/tex]
Now, let's find the area of shaded region:
Area of large rectangle - Area of smaller rectangle
[tex] \mathsf{6 {x}^{2} + 24x + 24 - ( {x}^{2} - 4x + 3)}[/tex]
When there is a ( - ) in front of an expression in parentheses, change the sign of each term in the expression
[tex] \mathsf{ = {6x}^{2} + 24x + 24 - {x}^{2} + 4x - 3}[/tex]
Collect like terms
[tex] \mathsf{ = {5x}^{2} + 28x + 21}[/tex]
Hope I helped!
Best regards!
Are the terms CSC, SEC, and COT equivalent to the terms Sin^-1, Cos^-1, and Tan^-1? Are the three pairs of terms the same thing just written differently, or are they entirely different?
Answer:
Step-by-step explanation:
It depends on how it is written. By definition
[tex]\csc(x) = (\sin(x))^{-1} = \frac{1}{\sin(x)}[/tex]
[tex]\sec(x) = (\cos(x))^{-1} = \frac{1}{\cos(x)}[/tex]
[tex]\cot(x) = (\tan(x))^{-1} = \frac{1}{\tan(x)}[/tex]
however the functions
[tex]\sin^{-1}(x), \cos^{-1}(x), \tan^{-1}(x)[/tex] are the inverse functions of sine, cosine and tangent respectively. So, they are not equivalent functions
5. Lisa sold costume jewelry at a bazaar. The
first hour she sold 2 bracelets and 3 rings
for a total of $26. Later a customer bought
2 rings and paid $12. All bracelets were
priced the same. All rings were priced the
same. How much did a bracelet cost?
Answer:
$4
Step-by-step explanation:
2 Bracelets + 3 rings = $26
2 rings = $12
3 rings = x
To get the cost of 1 ring you divide 12 by 2 and the answer you get is 6.
The total cost of the 3 rings is $18( $6*3)
Then you subtract the cost of both 2 bracelets and 3 rings($26) from the cost of 3 rings($18). The answer is $8. ( THIS IS THE COST OF 2 BRACELETS)
1 BRACELET= $4( $8/2)
The triangles are congruent by the SSS congruence theorem. Triangles F G H and V W X are shown. Triangle F G H is rotated about point G and then is shifted to the right to form triangle V W X. Which rigid transformation(s) can map TriangleFGH onto TriangleVWX? reflection, then rotation reflection, then translation rotation, then translation rotation, then dilation
Answer:
C. rotation, then translation
Step-by-step explanation:
edge 2021
I think it's C "rotation, then translation"
not 100% sure so check other answers too
What is the value of log0.5^16
Answer:
-4.81647993062
Step-by-step explanation:
Look at the image below ↓
Based on the mathematical analysis, the value of log 0.5^16 is -4.816.
What are Logarithms?A logarithm is a mathematical term that is used to describe the exponent or power to which a base must be raised to yield a given number.
In this case, to calculate the value of log0.5^16 use logarithm properties.
rewrite the expression as log(0.5)^(16).
=> log(a^b) = b * log(a)
=> 16 * log(0.5).
Given that the Logarithm is the inverse of exponentiation => log(0.5) is equal to -0.301.
Substitute this value back into the expression:
16 * (-0.301) = -4.816.
Hence, in this case, it is concluded that the correct answer to the value of log 0.5^16 is -4.816.
Learn more about Logarithms here: https://brainly.com/question/30226560
#SPJ6
A cycling race is 17 miles long. The cyclists will begin at point S and ride a number of laps around a neighborhood block. After the last lap, the cyclists will sprint 2.0 miles to the finish line. A rectangle with a width of 0.75 miles and height of 0.5 miles. The 2 mile finish comes out of one corner. Using the equation w (1.5 + 1) + 2 = 17, the race's organizer determined the cyclists will need to ride 9 laps before the sprint to the finish. Which explains the error? The equation should be 0.75 w + 0.5 w + 2 = 17, and the cyclists will need to ride 12 laps before the sprint to the finish. The equation should be 2 (0.75 w + 0.5) + 2 = 17, and the cyclists will need to ride 21 laps before the sprint to the finish. The solution should be 6, and the cyclists will need to ride 6 laps before the sprint to the finish. The solution should be 8, and the cyclists will need to ride 8 laps before the sprint to the finish.
Answer:
it is c because i took test review
Step-by-step explanation:
Answer:
C The solution should be 6, and the cyclists will need to ride 6 laps before the sprint to the finish.
Find the solution of the system of equations shown on the graph.
Please and thank you :)
Answer:
Hey there!
The solution is where the lines intersect, and here we see that would be (-4,3)
Hope this helps :)
Jack had 4 hours of school. He spent 45 minutes in the library and 12 hour on a science lecture and had a lunch break of 25 minutes. How much time is left for the school to get over? (Write the answer as a fraction.)
Answer:
[tex]\dfrac{10}{4} \ hour[/tex]
Step-by-step explanation:
Given that :
Jack had 4 hours of school.
He spent 45 minutes in the library
1/2 hour on a science lecture and;
had a lunch break of 25 minutes
The objective is to determine how much time is left for the school to get over and we are to write the answer as a fraction.
In order to do that, we will have to convert the minutes into hours,
we all know that; 60 minutes = 1 hour.
Then,
45 minutes = (45/60)hour = 3/4 hour
25/60 minutes = 1/4 hour
Therefore, the amount of time left for the school to get over is:
= [tex]4 - (\dfrac{3}{4}+\dfrac{1}{2}+ \dfrac{1}{4})[/tex]
= [tex]\dfrac{16-(3+2+1)}{4}[/tex]
= [tex]\dfrac{16-6}{4}[/tex]
= [tex]\dfrac{10}{4} \ hour[/tex]
Trivikram jogs from one end of corniche to its other end on a straight 300 m road in 2 minutes 50 seconds and then turns around and jogs 100 m back on same track in another 1 minute. What is his average speed and velocity?
Answer:
1.76m/s ; 1.76m/s ; 1.74m/s, 0.86m/s
Step-by-step explanation:
Given the following :
Distance jogged in first direction (A to B) = 300m
Time taken = 2 minutes 50s = (2*60) + 50 = 120 + 50 = 170s
Distance jogged in opposite direction (B to C) = 100m
Time taken = 1minute = 60s
Recall:
Speed = distance / time
Therefore Average speed from A to B
Average speed = 300m/ 170s = 1.764 = 1.76m/s
Average Velocity = Displacement / time
Displacement = 300m ; time = 170s
= 300m / 170s = 1.76m/s
Average speed (A to C)
Therefore, average speed = total distance / total time taken
Total distance = (300 + 100)m = 400m
Total time taken = (170 + 60)s = 230s
Average speed = 400m / 230s
= 1.739m/s = 1.74m/s
Average velocity:
Displacement = distance between initials position and final position.
Initial distance covered = 300m. Then 100m was jogged in the opposite direction.
Distance between starting and ending positions, becomes : (300 - 100)m = 200m
200 / 230 = 0.87m/s
help me please i jave 10 min left HELP
Answer:
Option (A).
Step-by-step explanation:
[tex]8\frac{4}{5}[/tex] is a mixed fraction and can be written as,
[tex]8\frac{4}{5}=8+\frac{4}{5}[/tex] [Combination of a whole number and a fraction]
When we multiply this mixed fraction by 7,
[tex]7\times 8\frac{4}{5}=7\times (8+\frac{4}{5})[/tex]
[tex]=(7\times 8)+(7\times \frac{4}{5})[/tex] [Distributive property → a(b + c) = a×b + a×c]
[tex]=56+\frac{28}{5}[/tex]
[tex]=56+5\frac{3}{5}[/tex]
[tex]=56+5+\frac{3}{5}[/tex]
[tex]=61+\frac{3}{5}[/tex]
[tex]=61\frac{3}{5}[/tex]
Therefore, [tex]7\times 8\frac{4}{5}=61\frac{3}{5}[/tex] will be the answer.
Option (A) will be the correct option.
Which graph represents the solution set of the inequality
ASAP PLEASEEEE
Answer: C
Step-by-step explanation:
The open dot means its not equal to X and the placement is -14.5
32x - 12.8 simplify plz
Answer:
Length = 8x - 3.2
Step-by-step explanation:
Perimeter = 4(Length) [Since it's a square so all the sides are equal]
Given that Perimeter = 32x - 12.8
32x - 12.8 = 4(Length)
Dividing both sides by 4
=> Length = [tex]\frac{4(8x-3.2)}{4}[/tex]
=> Length = 8x - 3.2
Now, Three equivalent expressions to find the perimeter
=> Perimeter = 32x - 12.8
=> Perimeter = 4(8x - 3.2) [Perimeter = 4 (Length)]
=> Perimeter = 2(16x - 6.4)
Answer:
[tex]\boxed{8x-3.2}[/tex]
Step-by-step explanation:
The perimeter is 32x - 12.8 of a square.
Use formula for perimeter of a square.
[tex]P=4a[/tex]
[tex]P=perimeter\\a=side \: length[/tex]
[tex]32x - 12.8=4a[/tex]
Solve for side length.
[tex]\frac{32x - 12.8}{4} =a[/tex]
[tex]8x-3.2=a[/tex]
Three equivalent expressions for perimeter:
32x - 12.8
⇒ 8(4x - 1.6)
⇒ 4(8x - 3.2)
⇒ 2(16x - 6.4)
1
English
TIME REMAINING
58:10
The radius of the large sphere is double the radius of
the small sphere.
How many times is the volume of the large sphere than
the small sphere?
O 2
4
6
08
Answer
2
Step-by-step explanation
The radius of the large sphere is double the radius of the small sphere
25 POINTS AND BRAINLIEST FOR THESE!
Answer:
Step-by-step explanation:
Hello,
For any function f which has an inverse function we can write
[tex]x=(f^{-1}of)(x)=(fof^{-1})(x)=f(f^{-1}(x))[/tex]
This is why, in practice, to find the inverse of f we will consider f(x) = y and we will look for x as a function of y, so we switch x and y and solve for y. Let's do it.
Step 1 - The function f(x) can be written as a variable. [tex]\boxed{y}=f(x)[/tex]
f(x) = y = 5x + 2
Step 2 - switch the variables x <-> y
x = 5y + 2
subtract 2 to both parts of the equation
<=> x - 2 = 5y + 2 - 2 = 5y
divide by 5 both parts of the equation
[tex]<=> y=\dfrac{x-2}{5}[/tex]
It means that the inverse of f is as below.
[tex]\boxed{ \ f^{-1}(x)=\dfrac{x-2}{5}\ }[/tex]
Step 3 - Find the inverse of g(x)
We already found that the inverse of f is g, so the inverse of g is f.
Let's do it again.
[tex]g(x)=y=\dfrac{x-2}{5} \ \ \text{ switch x and y } \\ \\ x= \dfrac{y-2}{5} \ \ \text{ solve for y }\\ \\ y-2=5x \ \ \text{ mulitply by 5 both parts of the equation } \\ \\ y = 5x+2 \ \ \text{ add 2 to both parts of the equation }[/tex]
And we found what we already known, meaning f is the inverse of g.
[tex](gof)(x)=(fog)(x)=x[/tex]
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Answers and Step-by-step explanation:
Step 1:
We want to find the variable that ff(x) represents. Well, we know it can't be x because we already have x on the other side of the equation: ff(x) = 5x + 2.
So, ff(x) must equal y.
Since ff(x) = y, we know then that ff(x) = y = 5x + 2. And our equation is:
y = 5x + 2
Step 2:
Let's switch the variables now. This means that what used to be y will be x and what used to be x will be y:
y = 5x + 2 ⇒ x = 5y + 2
Subtract 2 from both sides:
5y = x - 2
Divide by 5 from both sides:
y = (x - 2)/5
Step 3:
Let's find the inverse of g(x) by doing the exact same thing as we did with ff(x):
g(x) = y = (x - 2)/5
Switch the variables:
y = (x - 2)/5 ⇒ x = (y - 2)/5
Multiply by 5 on both sides:
5x = y - 2
Add 2 to both sides:
y = 5x + 2
Notice that this is the exact same as ff(x)! This means that ff(x) and g(x) are inverses.
Factorize a² +3ab - 5ab - 15b².
Answer:
[tex]a^2+3\,a\,b-5\,a\,b-15\,b^2=(a-5\,b)\,(a+3\,b)[/tex]
Step-by-step explanation:
Work via factoring by groups:
!) re arrange the terms as follows:
[tex]a^2-5ab+3ab-15b^2[/tex]
then extract the common factor for the first two terms (a), and separately the common factors for the last two terms (3 b):
[tex]a^2-5ab+3ab-15b^2\\a\,(a-5\,b)+3\,b\,(a-5\,b)[/tex]
Now notice that the binomial factor (a-5 b) is in both expressions, so extract it:
[tex]a\,(a-5\,b)+3\,b\,(a-5\,b)\\(a-5\,b)\,(a+3\,b)[/tex]
which is the final factorization.
Answer:
[tex] \boxed{\sf (a + 3b)(a - 5b)} [/tex]
Step-by-step explanation:
[tex] \sf Factor \: the \: following: \\ \sf \implies {a}^{2} + 3ab - 5ab - 15 {b}^{2} \\ \\ \sf Grouping \: like \: terms, \\ \sf {a}^{2} + 3ab - 5ab - 15 {b}^{2} = {a}^{2} + (3ab - 5ab) - 15 {b}^{2} : \\ \sf \implies {a}^{2} + (3ab - 5ab) - 15 {b}^{2} \\ \\ \sf 3ab - 5ab = - 2ab : \\ \sf \implies {a}^{2} - 2ab - 15 {b}^{2} \\ \\ \sf The \: factors \: of \: - 15 \: that \: sum \: to \: - 2 \: are \: 3 \: and \: - 5. \\ \\ \sf So, \\ \sf \implies {a}^{2} + (3 - 5)ab - 15 {b}^{2} \\ \\ \sf \implies {a}^{2} + 3ab - 5ab - 15 {b}^{2} \\ \\ \sf \implies a(a + 3b) - 5b(a + 3b) \\ \\ \sf \implies (a + 3b)(a - 5b)[/tex]
38. Convert 85 to a number in base eight.
O 95 (base eight)
O 105 (hase eight)
O 115 (base eight)
O 125 (base eight)
Answer:
divide the number by 8 and write the remainder like this 10 r 5.Then you get your answer by going through the remainders in an upward direction. So the answer is 125
The triangles are similar. Solve for the missing segment.
Answer:
56
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{35+20}{20}[/tex] = [tex]\frac{32+?}{32}[/tex] ( cross- multiply )
20(32 + ?) = 1760 ( divide both sides by 20 )
32 + ? = 88 ( subtract 32 from both sides )
? = 56
Answer:
[tex]\boxed{56}[/tex]
Step-by-step explanation:
We can use ratios to solve since the triangles are similar.
[tex]\frac{20}{32} =\frac{35}{x}[/tex]
Cross multiplication.
[tex]20x=35 \times 32[/tex]
Divide both sides by 20.
[tex]\frac{20x}{20} = \frac{35 \times 32}{20}[/tex]
[tex]x=56[/tex]