Answer:
Step-by-step explanation:
The easiest way to explain this is to use slope and then writing equations for lines. The reason for that is because we are told that the production uniformly increases. That "uniform increase" is the rate of change, and since the rate of change is constant, we are talking about the slope of a line, where the rate of change is constant throughout the whole length of the line.
Create coordinates from the info given:
In the third year, 600 units were made. Time is always an x thing, so the coordinate is (3, 600). Likewise for the other bit of info. Time is always an x thing, so the coordinate is (7, 700). Applying the slope formula:
[tex]m=\frac{700-600}{7-3}=\frac{100}{4}=25[/tex] which means that 25 units per year are produced. Write the equation to find the number of units produced in any year. I used the point-slope form of a line to do this:
y - 600 = 25(x - 3) and
y - 600 = 25x - 75 so
y = 25x + 525
If we want to know the number of units in the first year, we will replace x with 1 and do the math:
y = 25(1) + 525 so
y = 550 units, choice C.
2/5 x 1/3 x 3/4 = ( 2/5 x 1/3) x ? And the answer please
Simplify the expression. What classification describes the resulting polynomial?
(8x+3x) - (12x2 - 1)
O A quadratic binomial
O B. quadratic trinomial
ОС.
linear monomial
OD.
linear binomial
Answer:
The correct choice is option B. quadratic trinomial
Step-by-step explanation:
The answer is in quadratic trinomial because a quadratic trinomial is an expression in the form of ax^2 + bx + c and this is exactly how our final solution looks like.
A typical television newscast has three cameras. The center camera directly faces the news anchor’s desk. The other two cameras are both angled 45 degrees away from the center camera. Suppose each camera has a filed if 60 degrees. What is the total angle covered by three cameras? Explain your reasoning.
Geometry, please answer question ASAP
Answer:
A
Step-by-step explanation:
The inscribed angle IJK is half the measure of its intercepted arc, so
arc IK = 2 × 75° = 150°
The 3 arcs sum to 360° , then
arc IJ = 360° - (150 + 110)° = 360° - 260° = 100° → A
The Yogurt Packaging company is now re-designing their factory. They are going to construct a building in
the shape of a square box. Their contractor has told them that the diagonal braces needed to make the roof
are 150 feet long.
What would be the floor plan of the building? Label the diagonal braces
Answer:
[tex]\sqrt{\frac{150^2}{2}}=75\sqrt{2}\quad \left(\mathrm{Decimal:\quad }\:106.06601 \right)[/tex]
Step-by-step explanation:
[tex]a^{2} +b^{2} = 150^{2}[/tex]
a=b
[tex]2a^{2} = 150^{2}[/tex]
[tex]a =\sqrt{150^{2}/2 }[/tex]
Answer:
Step-by-step explanation:
We are using a top down view. We have a square building with side length s. The diagonal is 150 ft
Using the Pythagorean theorem
s^2 + s^2 = 150^2
2s^2 = 22500
s^2 =11250
Taking the square root of each side
sqrt(s^2) = sqrt(11250)
s = sqrt(6225*2)
s = 75 sqrt(2)
lcm of 12x² and 48xy
Answer:
576xxxycm
Step-by-step explanation:
1cm×12x×x+48xy=576xxxycm
Help anyone can help me do this question,I will mark brainlest.
Answer:
60
Step-by-step explanation:
SEE THE IMAGE FOR SOLUTION
HOPE IT HELPS
HAVE A GREAT DAY
A college chemistry teacher wants to know whether taking a practice
exam will help her students score higher on their final exam. She
randomly selects 50 students from among the four sections of
Introductory Chemistry that she teaches. Then she randomly divides
them into two groups of 25 students each. Group A will take a practice
exam, and group B will not take a practice exam. After all 50 students
take their final exam, she will compare their results.
Which of these are the treatments in this experiment?
A. Taking a morning chemistry class and taking an afternoon
chemistry class
B. Having taken high school chemistry and not having taken high
school chemistry
C. Being one of the 50 students selected and not being one of the 50
students selected
D. Taking a practice exam and not taking a practice exam
the answer is option b
If you add up Jasford and Jasmines ages you get 35. If Jasford is three years older than Jasmine, how old is Jasmine?
helphelphelphelphelphelp
Answer:
E - (8,-9)
F - (9,-9)
G - (9,-4)
Step-by-step explanation:
The first number in the bracket relates to the x-axis
The second number relates to the y-axis
Why do 6.52 x 10^3 and 652,000 ÷ 10^2 have the same answer?
Answer:
6.52 x 10^3 is just basically 6.52 × 1000, which is 6520. But 652,000 ÷ 10^2 is just 652000 ÷ 100, which is 6520. That's why they have the same answer.
What is the value of m in the figure below? If necessary, round your answer to
the nearest tenth of a unit.
Answer:
Option D, 13.2
Step-by-step explanation:
m = √{7×(18+7)}
= √(7×25)
= 5√7
= 13.2 (rounded to the nearest tenth)
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HELP ASAP ILL GIVE BRAINLIST
In a study on the placebo effect on 100 students, 64 were found to perform better on tests after taking a fake pill to improve concentration. What is the experimental probability the placebo pill induced better concentration on the student exams?
Answer:
16/25 or 64%
Step-by-step explanation:
In this problem we see that 64 out of the 100 students did better on the exams. So, to find the answer we must find the percentage form of 64 out of 100.
Step one:
what exactly is 64 out of 100? Well, in the math world when we see 'out of' we know that means 'divided by'. So, 64 out of 100 is 64/100.
Step two:
now we have to turn 64/100 into a percentage. We know that 1/100 is 1% so lets multiply 1 by 64. 64*1 = 64. This means that 64/100 = 64%.
I'm not 100% sure what form you need your answer in but if you need it in percentage for the answer is 64%. If you need your answer in a fraction form the answer would be 64/100 or 16/25 if we simplify the answer.
I hope this helps!!
What is the price after taking 25% off $62?
Answer:
46.5 DOLLARS WILL BE YOUR ANSWER .Answer:
$46.50
Step-by-step explanation:
pls mark brainliest
simplify. 5+ 8y^2- 12y^2+ 3y
Answer:
The answer simplified would be:
-4y^2+3y+5
If you combine the like terms, you will get this answer.
You have to add 8y^2 to -12y^2 and you get -4y^2.
Hope this helps you! :)
Margo bought the following lengths of ribbon: 3/4 yd, 1/3 yd, 1/2 yrd. How much ribbon did she buy?
Answer:
she bought 19/12 lengths of ribbon or aka 1 7/12
Step-by-step explanation:
3/4 + 1/3 + 1/2 = 13/12 + 1/2
13/12 +1/2 = 19/12
19/12 simplify is 1 7/12
Margo bought [tex]1\frac{2}{3}[/tex] yards of ribbon.
What is a fraction ?A fraction represents how much part of total quantity is present.Fractions are of two types proper fraction and improper fraction.
According to the question given Margo bought some ribbons of length 3/4 yd, 1/3 yd and 1/2 yd.
To find the total ribbon she bought in yards we have to take the sum of all the fractions.
∴ (3/4) + (1/3) + (1/2) yards.
Now to sum these fractions we have to take LCM of the denominators which is 12.
So, { (3×3) + (1×4) + (1×6) }/12.
= (9 + 4 + 6)/12.
= 19/12 or 1 whole 2/3 yards of ribbon.
learn more about fractions here :
https://brainly.com/question/8482939
#SPJ2
7(2x-7+1 please help
Answer:
14x-42
Step-by-step explanation:
7(2x-7+1 )
7(2x-6)
14x-42
Simplify the expression using trigonometric identities: sec (–θ) – cos θ.
Answer:
Step-by-step explanation:
Let's break this down. The secant of a negative angle is the same as the secant of the positive angle. This is because secant is the inverse of cosine, and cosine is an even function. f(-x) = f(x) if the function is even, and f(-x) = -f(x) if the function is odd. Sine is odd and has symmetry about the origin; cosine is even and has y-axis symmetry.
Therefore, sec(-θ) = sec(θ) and we have then
sec(θ) - cos(θ). Since secant is the inverse of cosine, we can write:
[tex]\frac{1}{cos\theta}-cos\theta[/tex] and finding a common denominator:
[tex]\frac{1-cos^2\theta}{cos\theta}[/tex] and using a trig identity:
[tex]\frac{sin^2\theta}{cos\theta}[/tex] and simplify that down a bit by breaking it up:
[tex]\frac{sin\theta}{cos\theta}*sin\theta[/tex] finally boils down to
tanθ · sinθ, the last choice there.
prove that.....cos^2α(cosec^2α-cot^2α)=cos^2α
Step-by-step explanation:
We must prove that
cos²a(csc²a-cot²a) = cos²a
If we look at both sides, we can see that we have cos²a * something = cos²a. Therefore, if we can get that something to equal 1, we have our proof. In this case, that something is csc²a-cot²a. Using this information, we can work from within the parenthesis and go from there.
We can start by expanding the items in the parenthesis. Taking that csc(x) = 1/sin(x) and cot(a) = cos(x)/sin(x), we can say that
cos²a(csc²a-cot²a) = cos²a(1/sin²a - cos²a/sin²a). Because both items in the parenthesis have a denominator of sin²a, we can subtract cos²a from 1 to get
cos²a(1/sin²a - cos²a/sin²a)= cos²a((1-cos²a)/sin²a))
Next, we know that cos²a+sin²a=1, so 1-cos²a = sin²a. Plugging that in, we get
cos²a((1-cos²a)/sin²a)) = cos²a(sin²a/sin²a)
= cos²a(1)
= cos²a
What is an equation of the line that passes through the points (-2,8) and (1, -1)?
Answer:
y = -3x + 2
Step-by-step explanation:
y2 - y1 / x2 - x1
-1 - 8 / 1 - (-2)
-9/3
= -3
y = -3x + b
-1 = -3(1) + b
-1 = -3 + b
2 = b
Write the equation of the line that passes through the point (-1, -2) and is parallel to the
graph of y-3x - 2.
XY
Answer:
y = -3x - 5
Step-by-step explanation:
In order to form a parallel line, the two lines must have the same slope. Substitute the values into the point-slope formula to make the equation.
[tex]y-y_1=m(x-x_1)\\y-(-2)=-3(x-(-1))\\y+2=-3(x+1)\\y+2=-3x-3\\y=-3x-5[/tex]
Therefore, the equation is y = -3x - 5.
17. ralph is 3 times as old as sarah. in 4 years ralph will only be twice as old as sara will be then. find ralph’s age now.
Answer:
Sara is now 4, will be 8 in 4 years. Ralph is now 12, will be 16 in 4 years.
a sailboat travels a distance of 2 1/2 miles in 1/6 of an hour.which complex fraction represents the unit rate in miles per hour.
Answer:
2 1/2 miles = 1/6 hours 2 1/2 miles * 6 = 1/6 hours * 6 12 1/2 miles = 6/6 hours 12 1/2 miles = 1 hour 12 1/2 miles/hr
Answer:
[tex]\frac{\frac{5}{2} * 6 }{\frac{1}{6} * 6}[/tex] = [tex]\frac{\frac{30}{2} }{\frac{6}{6} }[/tex]
Step-by-step explanation:
Which set of integers are in the right order from least to greatest?
1-10], -3, 2,7
7, 1-10], -3,2
2, -3, 7, 1-10
-3, 2, 7, 1-10
Answer:
1-10, -3, 2, 7
im sorry if i give a wrong answer
Lilian is building a swimming pool in the shape of a right rectangular prism. The area of the base of the swimming pool is 72 square meters. The depth of the swimming pool is 3 meters. What is the volume of the swimming pool?
Answer:
216
Step-by-step explanation:
Volume of a rectangular prism = area of base * depth
Area of base: 72
Depth: 3
Volume = 72 * 3 = 216
Explain the differences between adding and multiplying radical expressions using 2 examples you create.
Answer:
When you multiply radical expressions you multiply the numbers under the radical symbols.3–√×7–√=21−−√
When you add radical expression you CANNOT add the numbers under the radical symbols.
3–√+7–√≠10−−√
Step-by-step explanation:
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PLEASE GIVE EXPLANATION
Answer:
Second option
Step-by-step explanation:
The cosine function is represented in the graph. that eliminates two options. The period of the function can be calculated by finding the value of b, and then the wavelength. This eliminates the first option, because the period in the graph is pi. 2nd option is correct
can someone solve this?
-5^4 x 4y^10 x -3y^-1
Answer:
[tex]7500 {y}^{9} [/tex]
Step-by-step explanation:
[tex] { - 5}^{4} \times {4y}^{10} \times { - 3y}^{ - 1} [/tex]
[tex] = 12 \times {5}^{4} {y}^{9} [/tex]
[tex] = 12 \times 625 {y}^{9} [/tex]
[tex] = 7500 {y}^{9} [/tex]
Use the box plots comparing the number of males and number of females attending the latest superhero movie each day for a month to answer the questions.
Two box plots shown. The top one is labeled Males. Minimum at 0, Q1 at 3, median at 10, Q3 at 15, maximum at 35. The bottom box plot is labeled Females. Minimum at 0, Q1 at 2, median at 6, Q3 at 9, maximum at 14, and a point at 31.
Part A: Estimate the IQR for the males' data. (2 points)
Part B: Estimate the difference between the median values of each data set. (2 points)
Part C: Describe the distribution of the data and if the mean or median would be a better measure of center for each. (4 points)
Part D: Provide a possible reason for the outlier in the data set. (2 points)
PLEASE HELP ME!!! IVE BEEN AVOIDING THIS FOR SO LONG
(a) The IQR for the males' data is 12, because Q3 is at 15 and Q1 is at 3.
(b) The difference between the median values of each data set is 4 because 10-6 = 4
(c) For the males' data, the median would be a better measure of center, since the data is skewed right. For the females' data, the mean would be a better measure of center, because the data is pretty balanced (except for the outlier).
(d) Maybe a superhero movie had their opening night one day of this month, which would explain the outlier.
