Answer:
193 and 194
Step-by-step explanation:
Left page = X
Right page = X + 1
You know the total sum.
X + (X + 1) = 387
2X + 1 = 387
2X = 387 - 1
2X = 386
X = 193
When you plug X in you get the following;
Left page = 193
Right page = 193 + 1 = 194
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.
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.
A set of three scores consists of the values 3, 7, and 2. Σ2(X – 3) =
Answer:
6
Step-by-step explanation:
[tex]\sum 2(X-3)=2(3-3)+2(7-3)+2(2-3)=0+8-2=6[/tex]
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
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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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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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
A recipe calls for the following spices:1/4 teaspoon of turmeric,1/8 teaspoon of ginger, and 1/4 teaspoon of cumin. What is the total quantity of these three spices?
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 )
F (x) =2x+3^2 (x-1)3 state of degree
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.
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° !!!!
reflection across the y-axis
Please I need help ASP
Answer:
See the picture below.
Step-by-step explanation:
00:00
Which equations show you how to find 13 - 6?
A. 7 + 3 = 10, 10+ 3 = 13
B. 6 + 4 = 10, 10+ 4 = 14
C. 6+4 = 10, 10+ 3 = 13
D. 8+2 = 10, 10+ 3 = 13
never got taught this.
Answer:
|-5| is equal to 5 because absolute value is the distance from 0
Step-by-step explanation:
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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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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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
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:
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.
Two cyclists, 54 miles apart, start riding toward each other at the same time. One cycles 2 times as fast as
the other. If they meet 3 hours later, what is the speed (in mi/h) of the faster cyclist?
a. Write an equation using the information as it is given above that can be solved to answer this problem.
Use the variable r to represent the speed of the slower cyclist.
b. What is the speed of the faster cyclist?
mi/hr
The equation that we need to solve is:
(S + 2*S)*3h = 54mi
The speed of the slower cyclist is 6 mi/h
The speed of the faster cyclist is 12 mi/h.
How to write an equation that models this situation?Let's define S as the speed of the slower cyclist, thus 2*S will be the speed of the other cyclist.
They travel in opposite directions, and after 3 hours the travel a combined distance of 54 miles, then we can write the equation:
(S + 2*S)*3h = 54mi
With that equation, we can determine the speeds of the cyclists.
Solving for S we get:
(S + 2*S)*3h = 54mi
3*S = 54mi/3h = 18 mi/h
S = (18 mi/h)/3 = 6 mi/h
Then the speed of the slower cyclist is 6 miles per hour, and the speed of the faster cyclist is twice that, so it is 2*6 mi/h = 12 miles per hour.
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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.
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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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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en que se parece el Palacio Versalles y el Palacio el escorial
Answer:
Las primeras y quizá más sobresaliente características del monasterio y palacio real San Lorenzo de el Escorial son la composición geométrica y simétrica del edificio, el uso de los espacios cuadrados, y la preferencia por lo poco ornamentado, esto resulta bastante contrastante con la arquitectura regular de Europa, en la cual, sobre todo en Italia había predilección por las líneas curvas, los espacios ovalados, circulares, asimétricos y la predominación de un estilo muy ornamanetado con la intención de mover intensamente al espectador ante la unión del poder terrenal y espiritual. Existen rasgos en común con la arquitetura barroca foránea, como el uso de lo clásico como modelo riguroso y la necesidad de representar la grandiosidad e imponencia de la nobleza en la magnitud del palacio. Juan de Herrera fue el arquitecto del rey Felipe II, y quien impuso como estilo español arquitectónico barroco lo poco ornamentado, el recuerdo de lo clásico y los edificios de líneas rectas y grandes magnitudes.
=
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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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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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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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)
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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