Answer: =7y^2+20y−3
Step-by-step explanation:
The cost of a school dance is given by the formula: c = 2p + 500 where c represents the total cost in dollars, and p the number of students attended. How many students can attend the school dance if we have $1,672 to spend on the dance?
Answer:
586 students can attend the school dance if we have $1,672 to spend on the dance.
Step-by-step explanation:
1672 = 2p + 500 Subtract 500 from both sides of the equation
1172 = 2p Divide both sides of the equation by 2
586 = p
I have a two questions..
1. What is the expression for 5 increased by m?
2. Which of the following expressions represents three minus the product of five and p?
a. 5/p - 3
b. 3 - 5/p
c. 5p - 3
d. 3 - 5p
Please answer quickly!
Thank you ❤️
Answer:
5 + m
d. 3 - 5p
Step-by-step explanation:
What is the expression for 5 increased by m?
5 + m
Which of the following expressions represents three minus the product of five and p?
d. 3 - 5p
The components of a position vector of a particle moving in the plane are \((t^3, 2sin(t))\)
What is the distance traveled by the particle from t = 1 to t = π?
Answer:
30.113
Step-by-step explanation:
r(t) = (t³, 2 sin t)
The distance traveled is the length of the path (arc length):
L = ∫ₐᵇ √((dx/dt)² + (dy/dt)²) dt
L = ∫₁ᵖⁱ √((3t²)² + (2 cos t)²) dt
L = ∫₁ᵖⁱ √(9t⁴ + 4 cos²t) dt
Using a calculator:
L ≈ 30.113
Notice that distance is not the same as displacement. If we wanted to find the displacement:
r(π) = (π³, 0)
r(1) = (1, 2 sin 1)
Δr = √((π³ − 1)² + (0 − 2 sin 1)²)
Δr ≈ 30.053
Each of the quadrilaterals noted below has two pairs of parallel sides as one of its properties except the ______.
A. Square
B. Rectangle
C. Trapezoid
D. Parallelogram
Trapezoid is the quadrilateral with only one pair of opposite parallel sides.
What is Quadrilateral?A quadrilateral is a closed shape and a type of polygon that has four sides, four vertices and four angles.
Given that, each of the quadrilaterals noted below has two pairs of parallel sides as one of its properties.
Trapezoid is a quadrilateral having base angles equal and one pair of opposite sides are parallel.
Hence, the correct option is Trapezoid.
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Daniel has $25 to spend at the fair. The admission to the fair is $4, and the rides cost $1.50 each. Daniel rides x rides at the fair. What inequality represents this situation?
*
5 points
Option 1 4+1.50r<25
Option 2 4+1.50r>25
Option 3 4r+1.50>25
Option 4 4r+1.50<25
Answer:
option 1 4+1.50r<25 is the answer
You invest $5000 in an account to save for college.
The account pays 5% annually and compounds continuously.
What would be the account balance after 4 years.
Answer:
5000 multiplied by 0.05 multiplied by 4
Step-by-step explanation:
you should get 1000. :D next you add 1000 to the orginal 5000 to get 6000!
Question 18 of 36
The most Josua can afford to pay per year in mortgage payments is $14,000,
and his credit score is currently 498. According to the following table for a
$150,000 mortgage, by how many points would he need to improve his credit
score in order to take a mortgage for $150,000?
FICO
Interest Monthly
Score
Rate Payment
720-850 5.59% $860
700-719 5.71% $872
675-699
6.25% $924
620-674
17.40% $1.039
560-619
8.53% $1,157
500-559
9.2996 $1,238
To take a mortgage of $150,000, Joshua's annual mortgage payment should be less than or equal to $14,000. Therefore, his monthly mortgage payment should be $1,166.67 or less. Based on the table given, his credit score falls in the range of 500-559, with an interest rate of 9.2996% and a monthly payment of $1,238.
To find out by how many points Joshua needs to improve his credit score, we can start by finding the monthly payment for a credit score of 675, which is the next lower range than his current credit score.
Using the table, we can see that the monthly payment for a credit score of 675 is $924. To find the difference, we subtract $924 from $1,166.67, which gives us $242.67. Next, we can calculate the increase in FICO score needed to lower the interest rate to the next lower range.
From 500 to 559, the interest rate decreases by 0.7396% or approximately 0.74%. Therefore, Joshua needs to increase his credit score by 33 points (0.74% of the score range) to improve his interest rate and monthly payment to $1,166.67 or less, enabling him to take a $150,000 mortgage.
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round 49.07583 to the nearest place value given; tenth, hundredth, thousandth ten-thousandth, unit?
Answer:
tenth- 49.1
Hundredth- 49.08
thousandsths- 49.076
ten-thousandths- 49.0758
Which expression is equivalent to 2 (t -4) + 1
Answer:
2t-7
Step-by-step explanation:
2(t-4)+1
When you multiply out the two, you get:
2(t) - 2(4) +1
2t - 8 + 1
2t-7
Answer:
2t-7
Step-by-step explanation:
Find the measures of the missing angles
Help pleaseee
Answer:
Nwm miałem to dawno powodzenia
: A satellite system consists of 4 components and can operate adequately if at least 2 of the 4 components are functional. If each component is, independently, functional with probability 0.6, what is the probability that the system operates adequately
The probability that the satellite system operates adequately is 0.7056.
The probability that a component is not functional is 0.4. Therefore, the probability that a component is functional is 1-0.4=0.6.
Using the rule of combinations, there are 6 possible combinations of functional and non-functional components:
1. All 4 components are functional: (0.6)^4=0.1296
2. 3 components are functional: (0.6)^3(0.4)=0.3456
3. 2 components are functional: (0.6)^2(0.4)^2=0.2304
4. 1 component is functional: (0.6)(0.4)^3=0.0256
5. No components are functional: (0.4)^4=0.0256
6. At least 2 components are functional: P(2 or 3 or 4) = 0.1296 + 0.3456 + 0.2304 = 0.7056
Therefore, the probability that the satellite system operates adequately is 0.7056.
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find the slope of the line
Answer:
\(\frac{2}{3}\)
Step-by-step explanation:
The line goes up 2 units and right 3 units.
Answer:
the slope is 6/7
Step-by-step explanation:
We gave a national verbal proficiency test that has a mean score of 500 with a standard deviation of 75. What raw score would correspond to the 60th percentile
Answer:
519
Step-by-step explanation:
Let's assume that the scores for the national verbal proficiency test follow a normal distribution.
Mean score (μ) = 500
Standard deviation (σ) = 75
According to a Z-score table, the score for the 60th percentile is roughly z = 0.253
For any score "x", the z-score is given by:
\(Z=\frac{X-\mu}{\sigma}\)
For z = 2.53:
\(0.253=\frac{X-500}{75}\\X=519\)
The raw score to the 60th percentile is 519.
Can you help me with number 8
Answer:
A. :)
Step-by-step explanation:
Brainly?
How can ure out the next number in the pattern below? Write a conjecture that describes the pattern.
29, 28, 26, 23, 19
The difference between consecutive first and second integers is increased by 1 thus the next number 19 - x = 5 → x = 14.
What is the pattern?A pattern is a specific arrangement of numbers or any term which will follow a specific code or hint.
For example 2,4,6,8 in this, the difference between any two-term is only 2 and this will be its specific pattern.
As per the given pattern,29, 28, 26, 23, 19
29 - 28 = 1
28 - 26 = 2
26 - 23 = 3
23 - 19 = 4
Since the difference is increasing by 1
So the difference of 19 and the next number (x) will be 4 + 1 = 5.
19 - x = 5
x = 14
Hence "The difference between consecutive first and second integers is increased by 1 thus the next number 19 - x = 5 → x = 14".
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6+16k factored using the GCF
Answer:
2(3 + 8k)
Step-by-step explanation:
GCF of 6 and 16 is 2.
6 + 16k = 2(3 + 8k)
What is the formula of circumference of a
circle?
The formula is simply this: C = πd. In this equation, "C" represents the circumference of the circle, and "d" represents its diameter. That is to say, you can find the circumference of a circle just by multiplying the diameter by pi.
The formula is C=2πr
dilations pls help i cant solve
Answer:
D' (6, - 4 )
Step-by-step explanation:
Assuming the dilatation is centred at the origin then multiply the coordinates of D by 2, that is
D(3, - 2 ) → D'(2 × 3, 2 × - 2 ) → D'(6, - 4 )
1 of 4
5 positive integers are arranged in ascending order, as follows:
1, 7, 7, 11, 2
There are 2 modes.
Find .
=
How many buckets of equal capacity can be filled from 586. 5 litres of water, if each has capacity of 8. 5 litres?
We can fill 69 buckets of equal capacity from 586.5 litres of water. It's important to note that this calculation assumes that no water is lost or spilled during the filling process.
To find out how many buckets of equal capacity can be filled from 586.5 litres of water, we need to divide the total amount of water by the capacity of each bucket. In this case, each bucket has a capacity of 8.5 litres.
Dividing 586.5 by 8.5 gives us the number of buckets that can be filled:
586.5 / 8.5 = 69
Therefore, we can fill 69 buckets of equal capacity from 586.5 litres of water. It's important to note that this calculation assumes that no water is lost or spilled during the filling process.
Knowing how many buckets can be filled can be useful in a number of situations, such as when transporting or storing water. It can also help with planning and budgeting for water usage in a variety of settings, from households to agricultural operations.
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Four different objects are placed on a number line at 0. The chart describes the motion of each object
Motion
3 units left, then 3 units right
6 units right, then 18 units right
8 units left, then 24 units right
16 units right, then 8 units left
Object
W
X
Y
Z
Using the information in the chart, the distance and displacement of each object can be determined. Which object
has a distance that is three times as great as its displacement?
DW
Y
OZ
The object whose distance is three times its displacement is object Z.
How to find the distance of the object on the coordinate?The distance is defined as a scalar quantity representing the total distance traveled.
Displacement is a vector representing the distance between the end and start points.
Distance, Displacement, Ratio To calculate r = 3
Object Motion Distance Displacement ratio
X 3 units left, 3 units right 3 + 3 = 6 3 - 3 = 0 ∞
Y 6 units right, 18 units right 6 + 18 = 24 6 + 18 = 24 1
W 8 units left, 24 units right 8 + 24 = 32 -8 + 24 = 16 2
Z 16 units right, 8 units left 16 + 8 = 24 16 - 8 = 8 3
Ratio is calculated by dividing the distance by the displacement.
distance/displacement.
For object Z it is 24/8 = 3. So the object whose distance is three times its displacement is object Z.
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converting 1,000 mg to 1 gram would require moving the decimal place ________ places to the left.
Converting 1,000 mg to 1 gram would require moving the decimal place zero places to the left.
Unit conversion is a process with multiple steps that involves multiplication or division by a numerical factor or, particularly a conversion factor. The process may also require selection of the correct number of significant digits, and rounding. Different units of conversion are used to measure different parameters. By definition conversion of units means the conversion between different units and measurements of the same quantity done by the process of multiplication or division. In maths, conversion is the process of changing the value of one form to another for example inches to millimeters, or liters to gallons. Units are used for measuring length, measuring weight, measuring capacity, measuring temperature, and measuring speed.
If we want to calculate how many Grams are 1000 Milligrams we have to multiply 1000 by 1 and divide the product by 1000. So for 1000, we have (1000 × 1) ÷ 1000 = 1000 ÷ 1000 = 1 Gram.
So finally 1000 mg = 1 g
Thus, converting 1,000 mg to 1 gram would require moving the decimal place zero places to the left.
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Which choices are equivalent to the fraction below
Answer:
E and F
Step-by-step explanation:
(16/20 = 0.80)
14/8 = 1.75
9/10 = 0.90
8/5 =1.60
13/10 = 1.30
4/5 = 0.80
8/10 = 0.80
You have to to put the reduce the fractions and then put them in to decimal form then see if they are the same as the one you want it to be.
Use a proportion to convert 32 fluid ounces to cups. [Hint: Use the conversion factor 8 fl oz = 1 c.]
Answer:
4 cups
Step-by-step explanation:
in order to convert 32 ounces into cups, you must divide 32 by 8. this will give you 4, your answer.
If this helps, please mark me brainliest. :)
Answer:
4 cups
Step-by-step explanation:
32/x = 8/1
8x = 32
x = 4
Given the following list of axioms, draw a model to properly represent the information.
a. there exists five points
b. there exists two lines
c. each line consists of at least two points
d. each line contains only these five points.
The model which properly represent the information in given axioms is Cross geometry (+).
In the given question we have following information,
total number of points in model is 5total number of lines in model is 2each line consists atleast 2 pointseach line contains only these five pointsby using the above axioms we draw a geometry of Cross sign Geometry as seen above .
We can draw a line which contains three points and these points are only from given five points another line also follow this . this geometry follows all given axioms . The two lines intersect each other at a point . The point of intersection is one of point from five points . both of lines are linear and consists three points .
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the distribution of colors of candies in a bag is as follows. if two candies are randomly drawn from the bag with replacement, what is the probability that they are the same color?
The probability that both candies are of same color is 0.22
Probability:
Probability means possibility.The value is expressed from zero to one.In other words probability is simply how likely something is to happen.
The distribution of colors of candies in a bag is as follows.
Brown 0.1
Red 0.3
Yellow 0.2
Green 0.2
Orange 0.2
The probability for both candies are Orange.
= 0.2 x 0.2
= 0.04
The probability for both candies are Brown.
= 0.1 x 0.1
= 0.01
The probability for both candies are Yellow.
= 0.2 x 0.2
= 0.04
The probability for both candies are Green.
= 0.2 x 0.2
= 0.04
The probability for both candies are Red.
= 0.3 x 0.3
= 0.09
Now,
The total probability that they are the same color
= 0.04 + 0.01 + 0.04 + 0.04 + 0.09
= 0.22
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find the slope of the line that passes through the points
Which of the following types of harm resulting from technological innovations can engineers be held most morally blameworthy? O Foreseen harms O Foreseeable harms O Unforeseen harms O Unforeseeable harms
Engineers can be held most morally blameworthy for foreseeable harms resulting from technological innovations, engineers have a responsibility to anticipate the potential consequences of their work,
and to take steps to mitigate those consequences. If they fail to do so, and their work results in harm, they can be held morally blameworthy. When engineers develop new technologies, they have a responsibility to consider the potential consequences of their work.
They need to think about how their technology could be used, and whether it could be used to harm people or the environment.
They also need to consider how their technology could be misused, and what steps they can take to prevent misuse.
If engineers fail to consider the potential consequences of their work, and their work results in harm, they can be held morally blameworthy. This is because they have a duty to protect the public from harm, and they have failed to fulfill that duty.
For example, engineers who develop new weapons systems have a responsibility to consider the potential consequences of their work. They need to think about how their weapons could be used,
and whether they could be used to kill or injure innocent people. They also need to consider how their weapons could be misused, and what steps they can take to prevent misuse.
If engineers fail to consider the potential consequences of their work, and their weapons are used to kill or injure innocent people, they can be held morally blameworthy. This is because they have a duty to protect the public from harm, and they have failed to fulfill that duty.
It is important to note that engineers cannot be held morally blameworthy for unforeseeable harms. This is because they did not have the opportunity to anticipate the harm, and they could not have taken steps to prevent it.
For example, engineers who develop new medical treatments cannot be held morally blameworthy if the treatments have unforeseen side effects. This is because the engineers did not have the opportunity to anticipate the side effects, and they could not have taken steps to prevent them.
In conclusion, engineers can be held morally blameworthy for foreseeable harms resulting from technological innovations.
This is because they have a responsibility to anticipate the potential consequences of their work, and to take steps to mitigate those consequences.
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For the given table of values for a polynomial function, where must the zeros of the function lie?
A. between 3.0 and 3.5 and between 4.0 and 4.5
B. between 3.5 and 4.0 and between 4.0 and 4.5
C. between 4.0 and 4.5 and between 4.5 and 5.0
D. between 3 .5 and 4.0 and between 4.0 and 4.5
E. between 3 .5 and 4.0 and between 5.0 and 5.5
Answer:
A. Between 3.0 and 3.5 and between 4.0 and 4.5
Step-by-step explanation:
The zeroes of a function occur whenever a value of x returns zero. To predict where the zeroes lie, determine the interval(s) where the function crosses the x-axis. This occurs when either \(f(x)\) goes from a negative value to a positive value or vice versa.
From \(x=3.0\) and \(x=3.5\), the y-values go from 4.0 (positive) to -0.2 (negative), respectively. Therefore, there must be a zero in this interval.
From \(x=4.0\) and \(x=4.5\), the y-values go from -0.8 (negative) to 0.1 (positive), respectively. Therefore, there must also be a zero in this interval.
Thus, the zeros of this function occur between 3.0 and 3.5 and between 4.0 and 4.5, leading to answer choice A.
Answer:
between 3.0 and 3.5 and between 4.0 and 4.5
Step-by-step explanation:
Plato/Edmentum
A. Translation
B. Glide reflection
C. Rotation
Answer:
Rotation.
Step-by-step explanation:
The preimage is rotated about a center clockwise 90 degrees.