Answer:
-3
Step-by-step explanation:
Hope this helps!
Answer:
-3
Step-by-step explanation:
if its negative then it will continue to be unless 7 is added into -6. So, adding 3 to that would make it -3
Translate into an expression T times B times 4
hi
"times " = multiply by
B*T*4 = 4BT (as it is the custom to put numbers before letters, and letters in alphabetic order)
What is 13 1 3 percent as a fraction in simplest form
Answer:
2/15
Step-by-step explanation:
A percent is a number given out of 100
13 1/3% basically is 13 1/3 | 100
You divide and you get 40/3 x 1/100
Simplify by 20 = 40/300 simplify again and you get 2/15.
The formula for the nth pentagonal number is
[tex]P_{n}[/tex] = n(3n-1)/2
Use the formula to find the 16th pentagonal number.
The 16th pentagonal number is 376
What is a function?A function can be defined as an expression that explains the relationship between a dependent and an independent variable.
Given the function for the nth pentagonal number as;
Pn = n( 3n -1 )/ 2
To determine the 16th pentagonal number, we need to substitute the value of n as 16
We have;
P16 = 16(3(16) - 1)/ 2
P16 = 16( 48 - 1)/ 2
P16 = 16(47)/ 2
expand the bracket
P16 = 376
Thus, the 16th pentagonal number is 376
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Belinda buys a flat screen plasma television costing R20 000 on hire purchase. She traded in an old television for R3 000 and paid a deposit of R 2000. The balance was paid by means of monthly instalments of R900 over two years. Calculate the total simple interest paid and the rate of simple interest.
Based on the monthly installments and the amount that Belinda traded in the television for, the total simple interest paid was $6,600 and the rate of simple interest was 22%.
What was the simple interest paid?The balance after the trading in and deposit was:
= 20,000 - 3,000 - 2,000
= R15,000
The total simple interest paid was:
= (900 x 2 x 12months) - 15,000
= $6,600
The rate of simple interest was:
= (6,600 / 2 years) / 15,000
= 22%
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I need help answering this
Answer:
the Answer is c yo I know it bro
Answer: C
Step-by-step explanation:
x^2 + 6x + 8 = (x + 2 )(x + 4 )
Rewrite (10 + 6) + 5+ 3 using the Associative Law of Addition,
O 10+6+5+3
O 10+(6+5) + 3
O 3+5+ (10+6)
O (10+6) + 3+5
Rewriting (10 + 6) + 5+ 3 using the Associative Law of Addition will be 3+5+ (10+6).
How to compute the value?It should be noted that the Associative Law of Addition explains that a + (b + c) is the same as (a + b) + c.
Therefore, Rewriting (10 + 6) + 5+ 3 using the Associative Law of Addition will be 3+5+ (10+6).
It should be noted that this will still give same value.
Therefore, the correct option is B.
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pedro wants to make 3 1/2 batches of granola bars. His dad tells him that he needs 5 1/4 cup of oatmeal. How much oatmeal does pedro need for a single batch
Answer:
If he needs 5 1/4 cups for 3 1/2 batches then he needs 1 1/2 cups for a single batch.
If DM = 26 and point G lies on the perpendicular bisector of DM¯¯¯¯¯¯¯, what is the value of r? Segment D M with point G between the endpoints. Segment D G has length R plus 3, and segment G M has length 4R minus 28. A. 10 B. 13 C. 30 D. 52
The value of R in the line segment is R = 1
How to determine the value of r on the line segment?The given parameters on the line segment are:
Line segment DM = 26Point G is on the perpendicular bisector of DMSegment DG = R + 3Segment GM = 4R - 28Because the point G is on the perpendicular bisector of DM, then it means that
DM = DG + GM
This means that
26 = R + 3 + 4R - 28
Collect the like terms
So, we have
4R + R = 3 + 28 - 26
Evaluate the like terms
So, we have
5R = 5
Divide both sides by 5
So, we have
R = 1
Hence, the value of R in the line segment is R = 1
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. Given the relation = {(5,2), (7,4), (9,10), (, 5)}. Which of the following values for x will make relation a function?
Answer:
0
Step-by-step explanation:
since a function maps only one member in the co-domain
A motorboat can maintain a constant speed of 26 miles per hour relative to the water. The boat makes a trip upstream to a certain point in 33 minutes; the return trip takes 19 minutes. What is the speed of the current?
Answer:
7 mph
Step-by-step explanation:
A boat whose speed in still water is 26 mph makes a trip upstream in 33 minutes and returns in 19 minutes. You want to know the speed of the current.
SetupThe travel time is inversely proportional to the speed, so we can write the proportion (using c for the current speed in mph) ...
time upstream / time downstream = speed downstream / speed upstream
33/19 = (26 +c)/(26 -c)
SolutionMultiplying by 19(26 -c) gives ...
33(26 -c) = 19(26 +c)
(33 -19)(26) = (33 +19)c . . . . add 33c -19(26)
14(26)/(52) = c = 7
The speed of the current is 7 miles per hour.
What is the image of image of the point (-7,-3) after a rotation of 180 degrees counterclockwise
PLEASE
The image of image of the point [tex](-7,-3)[/tex] after a rotation of [tex]180[/tex] degrees counterclockwise is [tex](7,3)[/tex]
According to the question statement, point [tex](-7,-3)[/tex] is rotated by [tex]180[/tex] degrees counterclockwise, we are supposed to find out the image of the point after the rotation.
Point [tex](-7,-3)[/tex] lies in the Third quadrant of the Cartesian Plane.
When it will be rotated by [tex]180[/tex] degrees counterclockwise, it will shift to the first quadrant of the Cartesian Plane.
Therefore the coordinates will become as [tex](7,3)[/tex].
Cartesian Plane: The cartesian plane is defined as a two-dimensional coordinate plane that is made or formed by the intersection of the x-axis and y-axis or horizontal and vertical axes.To learn more about coordinates and plane, click on the link given below:
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kofi use 15min to type 500papers. How many minutes will he take 900papers
Answer:
27 minutes
Step-by-step explanation:
Hello!
500 and 900 are both multiples of 100, so let's first find the rate at which it takes Kofi to type 100 pages.
15m = 50015m / 5 = 500/53m = 100It takes 3 minutes to type 100 papers.
Since 900 is 9 times 100, we can also multiply the time by 9.
3m = 1003m*9 = 100*927m = 900It takes 27 minutes to type 900 papers.
=
Find the exact value of the expression. Do not use a calculator.
sin 26° - cos 64°
sin 26° - cos 64° =
=
(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
The value of the expression is 0 without calculation.
We have to find the exact value of
sin 26° - cos 26°
From the trigonometric function we know that:
cos (90°-Ф) = sinФ and,
sin(90° -Ф) = cosФ
By this, we have an expression that,
=sin 26° - cos 64°
=sin 26° - cos (90° - 26)
=sin 26° - sin 26°
=0
Therefore the value of sin 26° - cos 64° =0.
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f(x) = x² + 2x - 3
Find f(2)
Answer:
5
Step-by-step explanation:
f(2) = (2)^2 +2(2) - 3
f(2) = 4 + 4 - 3
f(2) = 8 - 3
f(2) = 5
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F (x) =2x+3^2 (x-1)3 state of degree
At a large university it is known that 30% of the students live on campus. The director of student life is going to take a random sample of 500 students. Which of the following is most likely to occur?
Using point estimation, the sample proportion falls between 0.2 and 0.4.
What is point estimation?The sample distribution offers details on the point estimator to choose. If the distribution's mean matches the actual value of the population parameter, the estimator is considered to be impartial. As a result, the population percentage p and the sample proportion p ought to be quite similar.
The correct option is C, because the average of 0.2 and 0.4 is 0.3
Complete Question is -At a large university it is known that 30% of the students live on campus. The director of student life is going to take a random sample of 500 students. Which of the following is most likely to occur?
a.) The sample proportion falls between 0.3 and 0.5.
b.) The sample proportion falls between 0.1 and 0.3.
c.) The sample proportion falls between 0.2 and 0.4.
d.) The sample proportion falls between 0.25 and 0.35.
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A toy ball in the shape of a sphere expands and contracts. When it is completely closed, it has a diameter of 20.5 inches. Find the volume of the sphere when it is completely closed. Use 3.14 for π.
The volume of the sphere when it is completely closed is 4508.58 cubic inches
Volume of a sphereThe formula for calculating the volume of a sphere is expressed as:
V = 4/3πr³
where
r is the radius = 20.5/2
radius = 10.25 in
Substitute
V = 4/3 (3.14)*10.25³
V = 4/3(3.14)
V =4508.58 cubic inches
Hence the volume of the sphere when it is completely closed is 4508.58 cubic inches
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Expand and simplify (5x - 2)^2
Answer:
The value of x = 2/5
Step-by-step explanation:
=>(5x - 2)²
=> (5x)² + 2² - 2(5x)(2)
=> 25x² -20x +4
=> 25x² -10x -10x +4
=> (5x-2) (5x-2)
=> x = 2/5 or 2/5
Joe's employer will reimburse him $0.07 per mile driven. If Joe drives 253.63 miles on a business trip, what
is his mileage reimbursement?
Answer:
17.75
Step-by-step explanation:
253.63 ×0.07=17.7541
The midpoint of \overline{\text{AB}}
AB
is M(5, 6)M(5,6). If the coordinates of AA are (3, 8)(3,8), what are the coordinates of BB?
=================================================
Explanation:
Point B is at the location (x, y)
The x coordinates of A and B are 3 and x respectively. Add them up, divide in half, and set the result equal to the x coordinate of M which is 5
(3+x)/2 = 5
3+x = 2*5
3+x = 10
x = 10-3
x = 7 which is the x coordinate of point B
Repeat this same idea for the y coordinates.
(8+y)/2 = 6
8+y = 2*6
8+y = 12
y = 12-8
y = 4
Therefore, point B is located at (x,y) = (7, 4)
Visual verification is shown below. You could also use the midpoint formula on segment AB to find that M = (5,6) is the midpoint.
reflection across the y-axis
Please I need help ASP
Answer:
See the picture below.
Step-by-step explanation:
Steven has a rope that is 6ft long. He cuts it into 9 pieces. How many are in each piece
Answer:2/3
Step-by-step explanation:
never got taught this.
Answer:
|-5| is equal to 5 because absolute value is the distance from 0
Step-by-step explanation:
In a survey of 720 human resource professionals, each was asked about the importance of the education of a job applicant. The survey subjects were randomly selected by pollsters from a reputable market research firm.
It seems to be reasonable so because survey data is unbiased.
What is defined as the unbiased survey data?An unbiased sample is one in which every individual or element in the population does have an equal chance of being chosen.
A sample assessment of a population parameter for whom sampling distribution does have a mean equal to the parameter of been estimated is an unbiased statistic. Some traditional statistics provide unbiased estimates of their associated parameters, while others do not. The sample mean is the most basic example of an unbiased statistic. The sample mean is normally distributed with a mean equal to the population mean under the usual assumptions of population normality and simple random sampling with a mean equal to the population mean and a standard deviation equal to the population variance divided by the square root of the sample size.As, for the given question, the 720 human resource professionals survey is done considering each individual equal weight age for all.
A population proportion is also a unbiased estimate of a sample proportion.
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Qin Corp. Issued 10-year bonds 2 years ago at a coupon rate of 9 percent. The bonds
make semiannual payments. If these bonds currently sell for 102 percent of par value,
what is the YTM? (Do not round Intermediate calculations and enter your answer as a
percent rounded to 2 decimal places, e.g., 32.16.)
In linear equation , 8.65% is the YTM .
What is a formula for linear equations?
A linear equation has the slope-intercept form y = mx + b. Variables in the equation are x and y. When x is 0, the integers m and b provide the line's slope (m) and the value of y. (b). Because (0,y) is the location where the line crosses the y-axis, the value of y when x is 0 is referred to as the y-intercept.Assuming face value to be $1000
Coupon = (0.09 * 1000) / 2 = 45
Number of periods = 8 * 2 = 16
Price = 102% of 1000 = 1020
YTM = 8.65%
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maths geometry
i just need 4)
i’ve worked everything else out
Step-by-step explanation:
good job then !
the first thing I see in the graphic is that
BG is half of BD (as a major definition of diagonals in a parallelogram).
BD on the other hand is the Hypotenuse (the side opposite of the 90° angle at A) of the triangle ABD.
to be able to use Pythagoras to get BD, I need to find the length of AB.
this I get from the triangle ABE. this is also a right-angled triangle. AE = 4cm. the angle B1 = 50°. the angle A = 90°.
so, the angle E1 = 180 - 90 - 50 = 40° (remember, the sum of all angles in a triangle is always 180°).
now we use the law of sine :
a/sin(A) = b/sin(B) = c/sin(C)
with a, b, c being the sides of the triangle, and A, B, C being the corresponding opposite angles.
so, we have here
AE / sin(50) = AB / sin(40)
4 / sin(50) = AB / sin(40)
AB = 4×sin(40) / sin(50) = 3.356398525... cm
so (Pythagoras),
BD² = AB² + AD² = 3.356398525...² + 9² =
= 11.26541106... + 81 = 92.26541106...
BD = 9.60548859... cm
BG = BD/2 = 4.802744295... cm
and now look at that.
because of the fact that I did not have to go through the other points, I chose the first approach that went through my mind.
and it showed that your teacher created an impossible (contradicting) scenario :
the angle of B1 does not fit to the ratios of the various line segments.
as you correctly calculated CD as 3 cm, that must mean that AB is also 3 cm.
that makes
BD² = 9² + 3² = 81 + 9 = 90
BD = 9.486832981... cm
BG = BD/2 = 4.74341649... cm
PLEASE, USE THIS VALUE.
there is a difference to my previous calculation. and the reason for this is : the 50° for B1 are not correct.
with AE = 4, AB = 3 and then BE = 5, we get
AE / sin(B1) = BE / sin(A)
4 / sin(B1) = 5 / sin(90) = 5
sin(B1) = 4/5 = 0.8
B1 = 53.13010235...°
and not 50° !!!!
A bedroom (14 ft by 12ft) and hallway (8ft by 3ft) are getting new wood flooring. Wood flooring is priced at $6.20 per square foot. How much will it cost to add the wood flooring?
If a bedroom (14 ft by 12ft) and hallway (8ft by 3ft) are getting new wood flooring. Wood flooring is priced at $6.20 per square foot. The amount it will cost to add the wood flooring is: $1,190.40.
Cost priceFirst step is to calculate the bedroom square feet
Bedroom square feet=14ft ×12ft
Bedroom square feet= 168 sq feet
Second step is to calculate hallway square feet
Hallway square feet=8ft × 3ft
Hallway square feet=24 sq feet
Third step is to calculate the total square feet
Total square feet=168+24
Total square feet=192
Fourth step is to calculate the cost
Cost=$6.20× 192
Cost= $1,190.40
Therefore the amount it will cost to add the wood flooring is: $1,190.40.
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25) Which of these numbers cannot be a probability? (There is more than one answer.)
A -0.02
B0
C 1.002
D 1
Answer:
1.002, -0.02
Step-by-step explanation:
Probabilities range between 0 and 1.
HELP WITH MATH QUETSION PLEASE I WILL GIVE BRAINLYEST The first 5 terms arithmetic sequence are shown on the graph.
a. describe the sequence in words.
b. what is the value of the 6th term?
c. write an explicit formula to find the nth term of the sequence.
The sequence is an AP with a = 11 and d = - 4 , 6th term is - 9 and formula is a + ( n - 1 ) d .
First Term = 11
Second Term = 7
Third Te3rm = 3
Fourth Term = - 1
Fifth Term = - 5
a ) Sequence is 11 , 7 , 3 , - 1 , - 5
b ) a + ( n - 1 ) d
11 + ( 6 - 1 ) ( - 4 )
11 + 5 ( - 4 )
11 - 20 = - 9
c ) a + ( n - 1 ) d
where a is the first term , n is the tem no . and d is the common difference of an AP .
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Write the equation of the line in fully simplified slope-intercept form
Answer:
y = 3x - 7
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (3, 2) and (x₂, y₂ ) = (1, - 4) ← 2 points on the line
m = [tex]\frac{-4-2}{1-3}[/tex] = [tex]\frac{-6}{-2}[/tex] = 3
the line crosses the y- axis at (0, - 7 ) ⇒ c = - 7
y = 3x - 7 ← equation of line
