Answer:
1.8
Step-by-step explanation:
SOMEONE HELP!!!!!! 20 POINTS
What is the standard form of the equation of a quadratic function with roots of 3 and −1 that passes through (1, −10)?
y = 2.5x2 − 5x + 7.5
y = 2.5x2 − 5x − 7.5
y = −2.5x2 − 5x + 7.5
y = −2.5x2 − 5x − 7.5
Step-by-step explanation:
y = a(x-3)(x+1) sub in the given point to calculate 'a'
-10 = a( 1-3)(1+1)
-10 = -4a
a = 2.5
then y = 2.5 ( x-3)(x+1) = 2.5 x^2 -5x -7.5
HELP PLEASE!!! A three-column table is given. Part A C D Part 25 35 50 Whole B 56 80 What is the value of B in the table?
Answer: (READ IT ALL PLS)
56.8
Convert 56.8
☆*: .。. ``.。.:*☆
5680
Step-by-step explanation:
I'm not really sure, Because I don't get the
way you explained it. But I hope it helps.
: )
Using the graphing function on your calculator, find the solution to the system
of equations shown below.
3y-3x = -9
4y-4x=-12
A. More than 1 solution
B. No solution
C. x = 3, y = -3
D. x = 4, y = -4
The solution to the system of equations shown above is: A. More than 1 solution.
How to graphically solve this system of equations?In order to graph the solution to the given system of equations on a coordinate plane, we would use an online graphing calculator to plot the given system of equations and then take note of the point of intersection;
3y - 3x = -9 ......equation 1.
4y - 4x=-12 ......equation 2.
Based on the graph shown in the image attached above, we can logically deduce that the solution to this system of equations is the point of intersection of the lines on the graph representing each of them, which is given by multiple ordered pairs and as such, it has more than one solution or infinitely many solutions because the lines coincide.
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maximillian walks 0.6 mile each day. When will he have walked 60 miles?
maximillian walks 0.6 mile each day. He would walk 60 miles in =60/0.6 = 100 days
Answer:
He will have 60 miles in 100 days
Step-by-step explanation:
You only have to divide 60 by 0.6
[tex]60 / 0.6=100[/tex]
Hope This Helps :)
Pls Brainliest...
What is the name of the convex polygon with 35 diagonals?
Answer:
a polygon has ten sides and it is known as decagon
56 to 35 in ratio and simplest form
Answer:
The ratio 56 to 35 = 8 to 5 = 8/5
solve please, see the photo
The area of the new shape formed by the two rectangles is calculated to be equal to 71 square centimeters.
How to calculate for the area of the new shapeThe new shape will have a square region of 3 cm by 3 cm covered from one of the rectangles which will be under, so the area of the new shape is calculated as follows:
area of one identical rectangle = 8 cm × 5 cm
area of one identical rectangle = 40 cm²
area of the square region under = 3 cm × 3 cm
area of the square region under = 9 cm²
Area of the new shape = 40 cm² + (40 cm² - 9 cm²)
Area of the new shape = 40 cm² + 31 cm²
Area of the new shape = 71 cm²
Therefore, the area of the new shape formed by the two rectangles is calculated to be equal to 71 square centimeters.
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use the GCF to factor 12+60
PLEASE HELP MEEEE!!!!!!!!
Answer:
The GCF is 12. ^^
Step-by-step explanation:
Answer:
12(1+5)
Step-by-step explanation:
The gcf of 12 and 60 is 12. This is because both are divisible bt 12. 12/12=1 and 60/12 is 5. Since, they're both divisible by 12, take out the 12, and multiply it by it's factors. Since 12x1= 12 and 12x5=60, it would be 12(1+5)
The fox population in a certain region has a continuous growth rate of 4 percent per year. It is estimated
that the population in the year 2000 was 13500.
(a) Find a function that models the population t years after 2000 (t = 0 for 2000).
Hint: Use an exponential function with base e.
Your answer is P(t) =
(b) Use the function from part (a) to estimate the fox population in the year 2008
Your answer is (the answer must be an integer)
a) The population is modeled by:
[tex]y = 13,500*(1.04)^t[/tex]
b) In the year 2008, the population is 18,476
How to find the population equation?The general population equation is an exponential equation of the form:
[tex]y = A*(1 + r)^{t}[/tex]
Where A is the initial population, r is the rate of growth, and t is the variable, time in years.
Here we know that the initial population is 13500, the rate is 4% (or 0.04 in decimal form).
Then the equation is:
[tex]y = 13,500*(1.04)^t[/tex]
b) 2008 is 8 years after 2000, so we need to evaluate in t = 8.
[tex]y = 13,500*(1.04)^8 = 18,475.68[/tex]
we can round that to the next whole number, which is 18,476
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What is the slope of the equation y=5/4x-7/4
Answer:
Step-by-step explanation:
m=5/4
NM is tangent to the circle at M. Find the measure of MNO
Check the picture below.
[tex]2x+3=\cfrac{(176-2x)-47}{2}\implies 4x+6=(176-2x)-47 \\\\\\ 4x+6=129-2x\implies 6x+6=129\implies 6x=123 \\\\\\ x=\cfrac{123}{6}\implies x=\cfrac{41}{2}\implies x=20\frac{1}{2} \\\\[-0.35em] ~\dotfill\\\\ 2\left( \frac{41}{2} \right)+3\implies 41+3\implies 44^o\impliedby \measuredangle MNO[/tex]
Match the base to the corresponding height. Base (b) Height (h)
Answer:
1:2
2:1
3:3
Explanation:
1 on the left is with 2 on the right (1:2) because base and height are inversed, so the same explanation is for 2:1.
3:3 because the hypotenuse (the base) is calculated with the height of the right angles.
Hope I helped and that I get brainliest ;)
What is the slope of the line that passes through the points (1, 3) and (5, –2)?
−5/4
− 4/5
4/5
5/4
Answer:
[tex]m = \frac{ - 2 - 3}{5 - 1} = - \frac{5}{4} [/tex]
NO LINKS!!! URGENT HELP PLEASE!!!
Find a formula that expresses the fact that an arbitrary point P(x, y) is on the perpendicular bisector "l" of segment AB
A(-3, 3), B(7, -7)
Answer:
The midpoint of segment AB is: M = ((-3 + 7)/2, (3 + (-7))/2) = (2, -2)
The slope of segment AB is: m = (y2 - y1)/(x2 - x1) = (-7 - 3)/(7 - (-3)) = -1
The slope of a line perpendicular to AB is the negative reciprocal of m: m_perp = -1/m = 1
The equation of the line passing through M with slope m_perp is: y - (-2) = 1(x - 2)
Simplifying, we get: y = x - 4
Therefore, an arbitrary point P(x, y) is on the perpendicular bisector of segment AB if and only if its coordinates satisfy the equation: y = x - 4
Answer:
y = x - 4
Step-by-step explanation:
To find the perpendicular bisector of the line segment AB, we first need to find the midpoint of AB. The midpoint M can be found using the midpoint formula:
M = ((x1 + x2)/2, (y1 + y2)/2)
where (x1, y1) = A and (x2, y2) = B
M = ((-3 + 7)/2, (3 - 7)/2) = (2, -2)
The slope of AB can be found using the slope formula:
m = (y2 - y1)/(x2 - x1)
m = (-7 - 3)/(7 - (-3)) = -10/10 = -1
The slope of the perpendicular bisector of AB is the negative reciprocal of the slope of AB. So, the slope of the perpendicular bisector is:
m_perp = 1/m = -1/-1 = 1
Now we have the midpoint M and the slope of the perpendicular bisector. We can use the point-slope form of a line to find the equation of the perpendicular bisector.
y - y1 = m(x - x1)
where m = 1 and (x1, y1) = (2, -2)
y + 2 = 1(x - 2)
y = x - 4
Therefore, the formula that expresses the fact that an arbitrary point P(x, y) is on the perpendicular bisector of segment AB with endpoints A(-3, 3) and B(7, -7) is:
y = x - 4
Larry needs to hire a new employee. Current projections indicate that the department will generate 8 million USD in gross revenue. Larry is expected to maintain a 15% annual profit margin. Current projected expenses for the year are 6.3 million USD. For budgeting purposes, the actual cost of an employee is assumed to be twice the employee’s annual salary. Based on his budget and current projections, what is the maximum salary Larry can offer a new employee?
The maximum salary Larry can offer a new employee per annum is $250,000.
How the maximum salary is determined:The maximum salary conferrable on a new employee is based on projections, worked out as follows:
The gross revenue to be generated = $8 million
Annual profit margin = 15% or $1.2 million ($8 million x 15%)
Current projected expenses for the year = $6.3 million
Actual cost of an employee = $0.5 million ($8 - 1.2 - 6.3)
Maximum salary = $250,000 ($0.5 million x 50%).
Thus, based on current projections of a gross revenue of 8 million USD with a 15% annual profit margin and projected expenses of 6.3 million, the maximum salary that Larry can offer a new employee is $250,000.
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sylvia watched a movie that was 1 whole 3/4hours long then the baseball game than the movie math work
Answer:
take a photo of the question so I can answer it please
How would you say the following time?0.8 seconds
A.Zero point eight seconds
B.Eight seconds
C.Zero eight seconds
D.Eight point zero seconds
The decimal time 0.8 seconds can be said as: A. Zero point eight seconds
How to Interpret Decimal Numbers?In Algebra, decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point. The dot present between the whole number and fractions part is called the decimal point. For example, 34.5 is a decimal number.
A decimal number is normally read by saying the whole part of it as a whole number and by individually reading out every number after the decimal point. For example, 28.79 would be read as twenty-eight point seventy nine.
Thus, the decimal 0.8 seconds can be pronounced as:
Zero point eight seconds
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I need this done by 11:59pm tonight. Please someone help me as soon as possible
An equation that shows the cost of a pack of test tubes, t, in terms of the cost of a set of beakers is 10t = b - 4.
An equation with t and b that describes this situation is 8t + 12b = 348.
An equation that shows this substitution is 8t + 12(10t + 4) = 348.
The value of b is equal to $27.4.
The amount of money which the school paid for a set of beakers is $27.4 and $2.34 for a pack of test tubes.
How to write an equation to model this situation?In order to write a linear equation to describe this situation, we would assign variables to the cost of a pack of test tubes and the cost of a set of beakers respectively, and then translate the word problem into a linear equation as follows:
Let the variable t represent the cost of a pack of test tubes.Let the variable b represent the cost of a set of beakers.Since a pack of 10 test tubes costs $4 less than a set of nested beakers, a linear equation which can be used to model the cost of a pack of test tubes with respect to the cost of a set of beakers is given by;
10t = b - 4 .....equation 1.
For t and b, a linear equation which can be used to model the total cost is given by;
8t + 12b = 348 .....equation 2.
By making b the subject of formula in equation 1, we have;
b = 10t + 4
By substituting the value of b, we have;
8t + 12(10t + 4) = 348
8t + 120t + 48 = 348
128t = 300
t = 2.34
b = 10(2.34) + 4
b = 27.4
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this is kinda confusing
The surface area of the cube with a side length of 5.5 yards is 181.5 square yards.
To find the surface area of a cube with a side of 5.5 yards, we need to add up the areas of all six sides of the cube.
The formula for the surface area of a cube is
SA = 6s²
where SA is the surface area and s is the length of the side.
Substituting s = 5.5 yards into the formula, we get
SA = 6(5.5)²
SA = 6(30.25)
SA = 181.5 square yards
Therefore, the surface area of the cube is 181.5 square yards.
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Triangle ABC is dilated to produce triangle A′B′C′.
Graph of a triangle ABC with vertices at A 9 comma 3, B 18 comma 3, and C 18 comma 9. Triangle A prime B prime C prime with vertices at A prime 3 comma 1, B prime 6 comma 1, and C prime 6 comma 3.
Determine the scale factor used to create the image.
one third
3
one fourth
4
Answer:
To determine the scale factor used to create the image, we need to compare the corresponding side lengths of the original triangle ABC and the dilated triangle A'B'C'.
Let's take the side AB of triangle ABC and its corresponding side A'B' of triangle A'B'C'. The length of AB is 18-9=9 units, while the length of A'B' is 6-3=3 units. Therefore, the scale factor for the dilation from triangle ABC to triangle A'B'C' is:
scale factor = length of A'B' / length of AB = 3/9 = 1/3
So the answer is: the scale factor used to create the image is one third.
Step-by-step explanation:
The scale factor used to create the image triangle A'B'C' is 1/4.
To determine the scale factor used to create the image, we can compare the corresponding side lengths of the original triangle ABC and the resulting triangle A'B'C'.
Let's calculate the length of a side of triangle ABC and the corresponding side of triangle A'B'C':
Length of side AB in triangle ABC:
AB = √(12 - 4)² + (4 - 4)²
= 8
Length of side A'B' in triangle A'B'C':
A'B' = √(3 - 1)² + (1 - 1)²
=2
To find the scale factor, we can divide the length of the corresponding side in the image triangle (A'B'C') by the length of the corresponding side in the original triangle (ABC):
Scale factor = A'B' / AB
= 2 / 8
= 1/4
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Question 2
What is the lateral surface area of the triangular prism with the given net?
Select one:
15
9
5
12
9
9
8
8
B
8
10
Answer:
the answer is B) 24.
Step-by-step explanation:
To find the lateral surface area of the triangular prism, we need to find the perimeter of the base and then multiply it by the height of the prism.
Looking at the net, we can see that the base is a triangle with sides of length 3 cm, 4 cm, and 5 cm. So the perimeter of the base is:
3 cm + 4 cm + 5 cm = 12 cm
The height of the prism is given as 2 cm. Therefore, the lateral surface area is:
12 cm x 2 cm = 24 cm²
So the answer is B) 24.
IF THIS HELPED, CAN YOU PLEASE GIVE 5⭐? thank you
Louis rolled a fair six-sided die and recorded the number that was facing up on the die. He continued this for a total of 80 rolls. The table shows the frequency of each number rolled.
Outcome 1 2 3 4 5 6
Frequency 15 11 14 15 10 15
Based on the table, what is the experimental probability that the number rolled was odd?
41 over 80
39 over 80
5 over 12
1 over 2
39 over 80 will be the probability of getting desired outcomes.
Finding the total number of rolls that produced an odd number and dividing that by the total number of rolls will yield the experimental probability that the number rolled was odd.
80 rolls are listed as the total. We sum the frequency of the odd numbers to determine the total number of rolls that produced an odd number:
Total frequency of odd numbers = frequency of 1 + frequency of 3 + frequency of 5
= 15 + 14 + 10
= 39
the following is the experimental likelihood that the number rolled was odd:
The frequency of odd numbers divided by the total number of rolls gives the probability of rolling an odd number.
= 39 / 80
Therefore, the probability will be 39 over 80.
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answer in detail pls
The formula for the curved surface area of a cylinder is given by:
Curved Surface Area = 2 × pi × radius × height
where pi is the mathematical constant approximately equal to 3.14, radius is the distance from the center of the circular base to the edge of the cylinder, and height is the distance between the two circular bases of the cylinder.
Given, the radius of the cylinder is 7 cm and the height is 2 cm, we can substitute these values in the above formula to find the curved surface area:
Curved Surface Area = 2 × (22/7) × 7 cm × 2 cm
= 2 × 22 × 2 cm^2
= 88 cm^2
Therefore, the curved surface area of the cylinder is 88 square centimeters.
I'm sorry to disturb but can you please mark me BRAINLEIST if this ans is helpfull
please help me in this question
When shape P is enlarged by the scale factor and the centre, the new coordinates would be (2, 6), (6, 6), (0, 8), and (4, 8).
How to enlarge the shape ?The current coordinates are:
( 1 , 3 ) ( 3, 3 ) ( 0, 4 ) and ( 2, 4 )
The new coordinates, with an expansion of 2 would be:
Point 1:
New coordinates: (1 x 2, 3 x 2) = (2, 6)
Point 2:
New coordinates: (3 x 2, 3 x 2) = ( 6, 6 )
Point 3:
New coordinates: ( 0 x 2, 4 x 2) = ( 0, 8 )
Point 4:
New coordinates: (2 x 2, 4 x 2) = ( 4, 8 )
The enlarged figure would have coordinates at (2, 6), (6, 6), (0, 8), and (4, 8).
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15 5/8 minus 15 4/5 I need to know soon pleaseeeeeee
Answer:
15 5/8 - 15 4/5
= 15 25/40 - 15 32/40 (15-15 = 0)
= 25/40 - 32/40
= -7/40
Brainliest, please:)
Use the quadratic formula to find all degree solutions and if
0° ≤ x < 360°.
Use a calculator to approximate all answers to the nearest tenth of a degree. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.)
cos^2 (x) + cos (x) − 1 = 0
(a) all degree solutions (Let k be any integer.)
The degree solutions of the equation are 51.82 degrees and 128.17 degrees
Finding all degree solutions of the equationFrom the question, we have the following parameters that can be used in our computation:
cos² (x) + cos (x) − 1 = 0
Let y = cos(x)
So, we have
y² + y - 1 = 0
When solved graphically, we have
y = ±0.618
This means that
cos(x) = ±0.618
Take the arccos of both sides
x = cos-1(±0.618)
Evaluate
x = 51.82 degrees and 128.17 degrees
Hence, the angles are 51.82 degrees and 128.17 degrees
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Find the equation of a line that passes through the point (1,2) and has a gradient of -3. Leave your answer in the form y = mx + C
Answer: y = -3x + 5
Step-by-step explanation:
We are given that the line passes through the point (1,2) and has a slope of -3. To find the y-intercept, we can use the point-slope form of a line:
y - y1 = m(x - x1)
where (x1, y1) is the point the line passes through.
Substituting the values we have:
y - 2 = -3(x - 1)
Expanding the brackets and rearranging:
y - 2 = -3x + 3
y = -3x + 5
Therefore, the equation of the line is y = -3x + 5, in slope-intercept form.
simplify this expression to have no negative exponents. -2^3a^4b^-5/ 24a^7b^3 *b^10/a^-2b^-4
The expression -2³a⁴b⁻⁵/ 24a⁷b³ × b¹⁰/a⁻²b⁻⁴ with no negative exponents is -a⁵b⁶/3
The given expression is -2³a⁴b⁻⁵/ 24a⁷b³ × b¹⁰/a⁻²b⁻⁴
a and b are the variable in the expression
We have to find the expression without negative exponents
[tex]\frac{a^m}{a^n}=a^m^-^n[/tex]
-8a⁴b⁻⁵/ 24a⁷b³ × b¹⁰/a⁻²b⁻⁴
-a³/3b⁸ × a²b¹⁴
-a⁵b⁶/3
Hence, the expression with no negative exponents is -a⁵b⁶/3
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Data Set 1 has a mean of 54 and a MAD of 4. Data Set 2 has a mean of 60 and a MAD of 2.
What can be concluded about the two distributions?
Select each correct answer.
A} The distributions are similar.
B} The distributions are somewhat similar.
C} The means-to-MAD ratio is 3.
D} The means-to-MAD ratio is 1.5.
The correct option about the two data set's distribution is B) The distributions are somewhat similar.
Given that,
For data set 1,
Mean = 54 and MAD = 4
For data set 2,
Mean = 60 and MAD = 2
Means to MAD ratio = (60 - 54) / (2 - 4) = 6 / -2 = -3
So means to MAD ratio is -3, not 3.
Now, it is clear that the distributions are not fully similar.
But it appears to be somewhat similar since Mean absolute deviation is somewhat similar, which is close.
Hence the correct option is B.
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-2, -4, -12, -48, -240, ...
-2 to -4 = multiply by 2
-4 to -12 = multiply by 3
-12 to -48 = multiply by 4
-48 to -240 = multiply by 5
Our next three terms will require us to multiply by 6, then 7, then 8.
-240 x 6 = -1440
-1440 x 7 = -10080
-10080 x 8 = -80640
Answer: C
Hope this helps!
Answer:
C
Step-by-step explanation:
multiply by 2 then by 3 then by 4 then by 5
then by 6 then by 7 then by 8