Answer:
20 deg
Step-by-step explanation:
A 12-hour analog clock face has 12 hour markers in 360 degrees, so the angle between one hour and the the next hour is 30 deg.
At 3:00 the hour hand makes a 90 deg angle with the 12 marker.
At 4:00 the hour hand makes a 120 degree angle with the 12 marker.
At 3:20, the hour hand has gone 20/60 of the way from the 3 marker to the 4 marker, so it has gone 1/3 of the way from 90 degrees to 120 degrees with the 12 marker. 1/3 * 30 + 90 = 100 deg. The hour hand is making a 100-deg angle with the 12 marker.
At 3:20, the minutes hand is at the 4 marker, so it makes a 120-degree angle with the 12 marker.
The angle made by the hands is 120 deg = 10 deg = 20 deg.
Answer:
its not 20 i did it cus im also doing aops not right
Step-by-step explanation:
Find the value of 5x+9y 45xy, given x = 3/5 and y =7/9.
Answer:
150
Step-by-step explanation:
5 × 3 ÷ 5 + 9 ÷ 7 × 9 × 4 × 3 ÷ 5 × 7 ÷ 5
3 + 7 × 3 × 7
3+147
150
please help find the correct solutions for the equations below 2x+20=-3x-25 x= -7x+14=4x- 19 x= 10x-3=-5x-18 x= answers 8 5 6 24 -1 -9 20 3 10 -2
Answer:
I think its 8
Step-by-step explanation:
Which of the following are not polynomials? Able to be more than one.
A. X-2 +X+1
B. x2/3 + v3x+1
c.2/3x-2+x+1
D. x3+0x2 + 2x + v2
E.2/x3+x+1/2
The terms that are not polynomial are x2/3 + v3x+1. The correct option is B.
What are polynomial terms?The portions of the equation that are often separated by "+" or "-" signs are known as polynomial terms. Thus, each term in a polynomial expression is a portion of the polynomial. For instance, there will be 3 terms in a polynomial like 2 x 2 + 5 + 4 for example.
x2/3 + √3x+1 is not a polynomial term because the power is in a fraction in the polynomial term, the power is not in a fraction.
Therefore, the correct option is B. x2/3 + v3x+1.
To learn more about polynomial terms, refer to the link:
https://brainly.com/question/11536910
#SPJ1
Hector and Francis spent a total of $47.50 at the mall. If Hector spent 50% more than Francis, how much did Francis spend at the mall? $19.00 $23.50 $28.50 $31.67
Answer:
Francis spent $19 and Hector spent $28.50
A. $19
Step-by-step explanation:
The total amount spent between the two person = $47.5
If Hector is represented by H
Francis represent by F
Therefore equation 1 = H + F = 47.5
H +F = 47.5 ..........(eqn 1)
From the question
Hector = Francis + 50% Francis
Translating this into an equation we get,
H = F + 0.5F ...... (eqn 2)
Substitute equation 2 into equation 1, we get:
(F + 0.5F) + F = 47.5
Thus 2.5F = 47.5
F = 47.5/2.5 = 19
Form a cubic polynomial whose zeroes are 2, 1/3 and 1/2.
Answer:
6x³ - 17x² + 11x - 2
Step-by-step explanation:
The cubic polynomial in general form is:
ax³+bx²+cx+d = (x-x1)(x-x2)(x-x3)zeroes are
x1=2, x2=1/3, x3=1/2then we can get the polynomial as:
(x-2)(x-1/3)(x-1/2)=0(x-2)(3x-1)(2x-1)=0(3x²-x-6x+2)(2x-1)=0(3x²-7x+2)(2x-1)=06x³-3x²-14x²+7x+4x- 2=06x³ - 17x² + 11x - 2= 0So the required polynomial is:
6x³ - 17x² + 11x - 2Answer:
f(x) = 6x³ - 17x² + 11x - 2
Step-by-step explanation:
Given the zeros x = 2, x = [tex]\frac{1}{3}[/tex], x = [tex]\frac{1}{2}[/tex] then the factors ar
(x - 2), (x - [tex]\frac{1}{3}[/tex] ), (x - [tex]\frac{1}{2}[/tex] )
By equating the fractional factors to zero we can express them as integer factors, that is
x - [tex]\frac{1}{3}[/tex] = 0 ( multiply through by 3 )
3x - 1 = 0
x - [tex]\frac{1}{2}[/tex] = 0 ( multiply through by 2 )
2x - 1 = 0
Thus the factors are (x - 2), (3x - 1), (2x - 1)
The polynomial is then the product of the factors.
f(x) = (x - 2)(3x - 1)(2x - 1) ← expand last 2 factors using FOIL
= (x - 2)(6x² - 5x + 1) ← distribute
= 6x³ - 5x² + x - 12x² + 10x - 2 ← collect like terms
f(x) = 6x³ - 17x² + 11x - 2 ← cubic polynomial
Suppose the area of a rectangle is represented by the expression 100 – 49. When the expression is fully factored, the factors represent the dimensions of the rectangle. What expressions represent the dimensions of the rectangle?
Answer:
a - b and a + b.
Step-by-step explanation:
Let's say the area of a rectangle is represented by the expression 100a^2 - 49b^2.
According to an algebraic formula, a^2 - b^2 = (a - b) * (a + b) = a^2 - ab + ab - b^2.
In this case, the square root of 100 is 10, and the square root of 49 is 7. That means that we have (10a - 7b) * (10a + 7b).
We can check that by doing... (10a - 7b)(10a + 7b) = 100a^2 - 70ab + 70ab - 49b^2 = 100a^2 - 49b^2.
Since it matches to the expression given, the expressions that represent the dimensions of the rectangle are (a - b) and (a + b).
Hope this helps!
using the frequency table. what fraction of students passed the test
Add the frequency for 16 and above :
5 + 7 + 7 = 19
19 passed
Total students ( add all frequencies) is 30
The fraction that passed is 19/30
what is the slope-intercept equation of this line?
Answer:
y=-2x+8
Step-by-step explanation:
Slope=-2
Y intercept= 8
An A-frame cabin is 26.23 feet high at the center and the angle the floor makes with the base is 53. How
wide is the base?
Answer:
60.84 feetsolution,
[tex]tan \: theta = \frac{perpendicular}{base} \\ tan \: (53) = \frac{bc}{ac} \\ tan \: (53) = \frac{26.23}{ac} \\ ac = \frac{26.23}{0.4311} \\ ac = 60.84 \: feet[/tex]
Hope this helps...
Good luck on your assignment..
Can someone please help me I really need help please help me thank you
Answer:
A
Step-by-step explanation:
Perpendicular lines always have the negative (opposite) reciprocal slope. Therefore, the slope of the line would be -2 because the reciprocal is just switching the numerator and denominator around (1/2 changes to 2/1 which is 2) and the negative means the opposite sign of which was originally given... i.e, since the 1/2 was positive, now it would be negative. That is why the slope is -2.
The equation of a line is y=mx+b with m representing the slope and b representing the y-intercept. Now to find the y-intercept, plug in the given components of the point (4,0) for the equation and solve for b (the y-intercept). Use 4 for x and 0 for y.
0=-2(4)+b
0=-8+b
8=b
4 friends evenly divided up an n-slice pizza. One of the friends, Harris, ate 1 fewer slice than he received. How many slices of pizza did Harris eat? Write your answer as an expression.
Answer:
m-2times 4
Step-by-step explanation:
Answer:
n/4 -1
Step-by-step explanation:
i got it from khan
A theater sold 980 tickets for a ballet. The orchestra seats cost $50 each and the balcony seats cost $35 each. The theater collected $44,350 in ticket sales for the performance. How many balcony tickets were sold?
Answer:310
Step-by-step explanation:
Answer:
Balcony tickets = 310
Step-by-step explanation:
Let x be orchestra seat
and y be balcony seat
x + y = 980
x = 980 - y................ (1)
50x + 35y = 44350
Substituting in equation 2,
50 (980 - y) + 35y = 44350
y = 310
is {(1, 2), (7, 6), (3, 2), (1, 0), (5, 6)} a relation? why?
Answer: Yes.
Step-by-step explanation: In each bracket, there is an odd and even number.
If a varies directly as the cube root of B and if a equals to 3 when B equals to 64 find the formula connecting the variables hence find b when a equals to 15 / 4
Answer:
a=k1[tex]\sqrt[3]{B}[/tex]
B=125
Step-by-step explanation:
Given :
a=3
B=64
According to question
a ∝ [tex]\sqrt[3]{B}[/tex]
therefore
a=k1 [tex]\sqrt[3]{B}[/tex]........Eq(1)
K1=[tex]\frac{a}{\sqrt[3]{B} }[/tex]......Eq(2)
Putting the value of a and B we get in Eq(2) we get
[tex]K1=\frac{3}{4}[/tex]
Putting the value of k1 in Eq(1)
[tex]a=\frac{3}{4}\sqrt{B}[/tex] .......................Eq(3)
putting the value of a=15/4 IN Eq(3) we get
[tex]\frac{15}{4}\ =\frac{3}{4} \sqrt[3]{B} \\\\\sqrt[3]{B}\ =\ 5\\Cubing\ both\ side\ we\ get\\B=125[/tex]
Two researchers select a sample for a population with a mean of 12.4 and a standard deviation of 9. Researcher A selects a sample of 25 participants. Researcher B selects a sample of 15 participants. Which sample is associated with a larger standard error
Answer:
researcher B with 15 participants will be associated with a larger standard error
Step-by-step explanation:
Standard error can be expressed mathematically as;
E = zr/√n ......1
Where
z = z value of test statistics
r = standard deviation
n = number of samples
From equation 1, given that the standard deviation and the z value for the two researchers are thesame, then we can say;
E = zr/√n
E = k/√n
E1/E2 = √(n2/n1)
n1 = 25
n2 = 15
E1/E2 = √(15/25)
E1/E2 = 0.774596669241
E1 = 0.77E2
Therefore, E1 is less than E2
E1 < E2
And also the larger the number of samples the lower the standard error.
Since researcher B have a lower number of samples it will have a larger standard error.
So, researcher B with 15 participants will be associated with a larger standard error
PLEASE HELP ME! Sally is paid a fixed amount of money to walk her neighbor's dog every day after school. When she is paid each month, she puts aside $20 to spend and saves the remaining amount. Write an expression that represents the amount Sally will save in 6 months if she earns m dollars each month.
Answer: 6($m - $20)
Step-by-step explanation:
From the question, we are told that Sally earns m dollars each month to walk her neighbor's dog every day after school and that when she is paid each month, she puts aside $20 to spend and saves the remaining amount. This means that Sally saves:
$m - $20.
The expression that represents the amount Sally will save in 6 months will be so multiplied by the amount saved every month. This will be:
= 6($m - $20)
Answer:
Ok first of all. You cant be in highschool with this question. because this is a 6th grade question. Second that person who gave you that asnwer is wrong because thats not even the answer now I advise you to listen for future refrences.
Step-by-step explanation:
she is paid $65 and she saves $20 so subtract those numbers then you get $45 so that means she saves $20 and had $45 to spend. that means 20 times 6(months) is... $120 so $120 is your answer. But, to be more professional "Sally has saved $120 in 6 (Months.)
An experiment consists of tossing 3 coins at the same time. What is the probability of tossing 2 tails and 1 head?
Answer:
3/8.
Step-by-step explanation:
The probability of a head or a tail on one toss of a single coin is 1/2.
So the required probability when 3 coins are tossed of getting say 3 heads = (1/2)*3 = 1/8.
The probabilities are multiplied because each event ( 1 coin tossed) is independent of the others.
There are 3 ways to get 2 H and 1 tail (HHT, HTH and THH) so the answer is 3 * 1/8
= 3/8.
Answer:
3/8 or 0.375 or 37.5%
Step-by-step explanation:
You have three coins. The probability of getting a head or a tail for each coin is 1/2. So,
[tex]\frac{1}{2}[/tex] × [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{2}[/tex] = [tex]\frac{1}{8}[/tex]
There are 8 possible combinations that can come from tossing 3 coins at the same time: HHH, HHT, HTH, HTT, THH, THT , TTH , or TTT.
Every time you toss the 3 coins, there is a [tex]\frac{1}{8}[/tex] chance that you get either of these combinations. So,
[tex]\frac{1}{8}[/tex] + [tex]\frac{1}{8}[/tex] + [tex]\frac{1}{8}[/tex] = [tex]\frac{3}{8}[/tex]
The probability of tossing 2 tails and 1 head is 3/8.
Hope this helps.
If mArc R V = mArc V U , what is mArc V U ? 47° 52° 64° 87°hat is mArc S T?
Answer:
The answer is below
Step-by-step explanation:
In circle O, RT and SU are diameters. Circle O is shown. Line segments S U and R T are diameters. Line segment O V is a radius. Point V is between points R and U. Angle S O R is (13 x) degrees and angle T O U is (15 x minus 8) degrees. If mArc R V = mArc V U , what is mArc V U ? 47° 52° 64° 87°
Given that:
mArc R V = mArc V U, Angle S O R = 13 x degrees and angle T O U = 15 x - 8 degrees
∠SOR = ∠TOU (Vertically opposite angles are equal). Therefore:
13 x = 15x - 8
solving by calculating the value of x to satisfy the equation: Subtracting 13x from both sides
13x - 13x = 15x - 8 - 13x
0 = 15x - 13x - 8
2x - 8 = 0
Adding 8 to both sides:
2x - 8 + 8 = 0 + 8
2x = 8
2x/2 = 8/2
x = 4
∠SOR = 13x = 13(4) = 52°
∠TOU = 15x - 8 = 15(4) - 8 = 60 - 8 = 52°
Let a = mArc R V = mArc V U
Therefore:
mArc R V + mArc V U + ∠TOU = 180 (sum of angles on a straight line)
Substituting:
a + a + 52 = 180
2a = 180-52
2a = 128
a = 128/2
a= 64°
mArc R V = mArc V U = 64°
Answer:
C) 64 degrees
Step-by-step explanation:
just took the test on edg2020
Each morning Rin rides 1.5 miles to school and then rides home in the afternoon. Later in the evening, she rides to the park and back home. Over the 5 school days, she rides a total of 25 miles. Which equation can be used to find the distance she rides each evening?
1.5 + x = 25
1.5 + 1.5 + x = 25
5 (1.5 + x) = 25
5 (1.5 + 1.5 + x) = 25
Answer:
Last equation given in the list of possible answers:
5 ( 1.5 + 1.5 + x ) = 25
Step-by-step explanation:
We need to include in the total addition of miles ridden during the week:
a) 1.5 miles to the school
b) 1.5 miles from school back home
c) x miles for the evening ride
so for the miles ridden per day we have: "1.5 +1.5 + x"
Now, since per week she does 5 days like this, then we need to multiply the expression above by 5 in order to total the number of miles she rides weekly (25 miles)
5 ( 1.5 + 1.5 + x ) = 25
And we can use this equation to find the amount "x" that Rin rides in the evening.
Answer:
The answer is D.5 (1.5 + 1.5 + x) = 25
Step-by-step explanation:
A national survey showed that 44% of college students drink. A professor provided his own survey by choosing a random sample of 244 students and found that 96 of them drink. Is this an unusual result contradicting the national survey or it is in line with it? Answer the question by determining how far away the proportion is from 44% in terms of standard deviations.
Answer:
It is an unusual result contradicting the national survey.
Step-by-step explanation:
National survey showed 44% of college students who drink.
The professor's survey showed that 96/244 = 39% drink.
The professor's survey deviated from the national survey is 5% (44% - 39%) representing about 0.25% (5% squared) variance.
Standard deviation is the spread of a set of numbers from their mean. In other words, it measures how far an observed value is from the mean. It can be calculated by getting the square root of the variance.
Se desea plantar árboles a lo largo de un camino de 80m de longitud, a una distancia mínima entre ellos. Si dicha distancia de separación aumentará 6m, entonces el número de árboles necesarios disminuirá en 3. ¿Cuántos árboles serán plantados de la primera forma?
Answer: 8 arboles.
Step-by-step explanation:
Ok, el camino tiene 80m de longitud.
Si la distancia entre árbol y árbol es x metros, entonces entran:
N = 80m/x arboles.
Ahora, si x aumenta en 6m, entonces el numero de arboles se reduciría en 3, entonces tenemos el sistema de ecuaciones:
N = 80/x
N - 3 = 80/(x + 6)
Para resolver esto, el primer paso es remplazar la primera ecuación en la segunda:
N - 3 = 80/x - 3 = 80/(x +6)
Ahora podemos resolver esto para x.
80*(x + 6) - 3*x*(x +6) = 80x
80*x + 480 - 3*x^2 - 18*x - 80x = 0
-3*x^2 -18*x + 480 = 0
necesitamos resolver esa ecuación cuadrática, y sabemos que las soluciones son:
[tex]x = \frac{18 +-\sqrt{18^2 + 4*3*480} }{-2*3} = \frac{18 +-78}{-6}[/tex]
Entonces las dos soluciones son:
x = (18 +78)/-6 = -16
x = (18 - 78)/-6 = 10
La solución tiene que ser positiva, así que elegimos la segunda.
Esto quiere decir que la primera distancia es 10 metros, entonces el numero de arboles es:
N = 80m/10m = 8
2. Michael receives a weekly pocket money of $28. If he decides to save 20% of it,
find his
() savings in a year,
(ii) spending in a year.
Assume that there are 52 weeks in a year.
a
I need help with converting this to get the answer!! Please help!! :D
Answer:
Volume of the water droplet = 0.00001 cubic meter
Step-by-step explanation:
∵ 100 centimetres = 1 meter
∴ 1 centimetre = [tex]\frac{1}{100}[/tex] meter
= 0.01 meter
Volume of a water droplet = 0.1 cubic centimetre
= 0.1 (centimetre)³
By putting 1 centimetre = 0.01 meter
Volume of the water droplet = 0.1 (0.01 meter)³
= 0.1 × (0.01)³ meter³
= 0.1 × 0.0001 meter³
= 0.00001 meter³
Assume that an opinion poll conducted in a 1998 congressional race found that on election eve, 54% of the voters supported Congressman Smith and 44% supported challenger Jones. Also assume that the poll had a /- 3% margin of error. What would the pollster be able to safely predict
Answer:
Congressman Smith will defeat Challenger Jones
Step-by-step explanation:
Since the poll has a +/- 3% margin of error, the minimum and maximum possible percentages for each candidate are:
(44% - 3%) ≤ Jones ≤ (44% + 3%)
41% ≤ Jones ≤ 47%
(54% - 3%) ≤ Smith ≤ (54% + 3%)
51% ≤ Smith ≤ 57%
This means that, even in the worst possible scenario for Congressman Smith, he would still beat Jones with 51% against 47% of the votes. The pollster can safely predict that Congressman Smith will defeat Challenger Jones .
John cut a paper square with a perimeter of 18 inches into two rectangles. The perimeter of one of the rectangles is 10 inches. What is the perimeter of the second rectangle?
Answer:
13.5 inches
Step-by-step explanation:
Perimeter of the paper square = 18inches
Perimeter of a square = 4s
4s = 18 inches
s = 18/4 = 4.5 inches
Therefore, each side of the square = 4.5 inches.
When the square is cut into 2 rectangles,
The perimeter of one of the rectangles is 10 inches.
Perimeter of the second rectangle = 2L + 2W
Let the length of the rectangle (L) = one side of the square = 4.5 inches
Width of the Rectangle = Length of the square/2 = 4.5 inches/ 2 = 2.25
Perimeter of the second rectangle = 2(4.5) + 2(2.25)
= 9 + 4.5
= 13.5 inches
write an equation to represent the cost of printing photos (C) in terms of the number photos printed (P)
(use picture for the information)
PLEASE answer asap! it will be appreciated.
Answer: C=0.20p
Step-by-step explanation:
As you could see if you print 10 photos you will have to pay 2 dollars which means if you print 1 photo you will have to pay 20 cents.
Evaluate. 8−2⋅3+7 Enter your answer in the box
Answer:
9
Step-by-step explanation:
8−2⋅3+7
PEMDAS
Multiply and divide first
8−6+7
Then add and subtract
2+7
9
Answer:
9
Step-by-step explanation:
Remember to follow the order of operations, PEMDAS. Note that PEMDAS =
Parenthesis
Exponent (& Roots)
Multiplication
Division
Addition
Subtraction
First, multiply -2 with 3:
-2 * 3 = -6
Next, follow the left -> right rule. First subtract, then add:
8 - 6 = 2
2 + 7 = 9
9 is your answer.
~
Determine whether the results below appear to have statistical significance, and also determine whether the results have practical significance. In a study of a weight loss program, 77 subjects lost an average of 4141 lbs. It is found that there is about a 4040% chance of getting such results with a diet that has no effect. Does the weight loss program have statistical significance?
Answer:
No, the weight loss program doesn't have statistical significance.
Step-by-step explanation:
We are given that in a study of a weight loss program, 7 subjects lost an average of 41 lbs.
It is found that there is about a 40% chance of getting such results with a diet that has no effect.
Firstly, statistical significance means that the event is sure to be happen and there is a proper statistical calculation behind it.
But here it is stated that there is a 40% chance of getting such results with a diet that has no effect which means that the event is unlikely to happen by chance and it is just a prediction so, the weight loss program is not statistically significant.
Now, practically significant means that there is a large difference in the subjects being tested.
Here, the weight loss program is considered to be practically significant because there is a large amount of weight loss of 43 lbs of the subjects which is a large amount.
Solve for x
3/10 = x/7
Give your answer as an improper fraction in its simplest form!!!!!
Answer:
x = 21/10
Step-by-step explanation:
3/10 = x/7
Cross multiply.
10x = 21
x = 21/10
Answer:
x is 21/10
Step-by-step explanation:
3/10 = x/7
Multiply through by the LCM of 10 and 7 which is 70
we have
3/10 × 70 = x/7 × 70
21 = 10x
Divide both sides by 10
We have
21/10 = 10x /10
x = 21/10
Hope this helps you
which is grater -12.5 or -10.5
Please help me
Answer:
-10.5
Step-by-step explanation:
Greater a negative number the smaller it is.
Answer:
-10.5
Step-by-step explanation:
If you think about a number line
-4 , -3 , -2 , -1 , 0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11
We can see that when we go →, the numbers increase and we can when we go ←, the numbers decrease. Since -12.5 in farther down the line it is smaller than -10.5