The result of the expression [tex]a^2bc[/tex] when a =3, b= -14 and c = -6 is 756
The expression is
[tex]a^2bc[/tex]
The expression is the mathematical statement that consist of different variables, numbers and mathematical operators. The mathematical operator are addition, subtraction, division and multiplication. The equal sign or inequality signs will not be a part of expression
The expression is
[tex]a^2bc[/tex]
The value of a = 3
The value of b = -14
The value of c = -6
Substitute the values in the expression
[tex]a^2bc[/tex] = [tex]3^2[/tex] × -14 × -6
= 9 × -14 × -6
= 756
Hence, the result of the expression [tex]a^2bc[/tex] when a =3, b= -14 and c = -6 is 756
The complete question is:
Evaluate [tex]a^2bc[/tex] if a=3, b=-14 and c=-6
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Part 2: The xy-Plane
Use these two graphs to answer questions 4 and 5.
4. Do these graphs represent functions? Explain.
Answer:
Answer and explanation in image
Step-by-step explanation:
three means between 2 and 512
The three geometric mean between 2 and 512 are
When r = 4 , 8,32, 128When r = -4, -8, 32, -128The first term = 2
Consider the common ratio as r
Then the second term = 2r
The third term = [tex]2r^2[/tex]
The fourth term is = [tex]2r^3[/tex]
The fifth term is given that 512
The fifth term = [tex]2r^4[/tex]
Then the equation will be
[tex]2r^4[/tex] = 512
[tex]r^4[/tex] = 512 / 2
[tex]r^4[/tex] = 256
r = ±4
When r = 4
The three geometric mean between 2 and 512 are
2r = 2×4 = 8
[tex]2r^2[/tex] = 2×4×4 = 32
[tex]2r^3[/tex] = 2×4×4×4 = 128
When r = -4
The three geometric mean between 2 and 512 are
2r = 2×-4 = -8
[tex]2r^2[/tex] = 2×-4×-4 = 32
[tex]2r^3[/tex] = 2×-4×-4×-4 = -128
Hence, the three geometric mean between 2 and 512 are
When r = 4 , 8,32, 128When r = -4, -8, 32, -128The complete question is :
Find the three geometric means between 2 and 512.
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For a project in his Geometry class, Anand uses a mirror on the ground to measure the height of his school’s football goalpost. He walks a distance of 14.75 meters from the goalpost, then places a mirror on flat on the ground, marked with an X at the center. He then steps 1.3 meters to the other side of the mirror, until he can see the top of the goalpost clearly marked in the X. His partner measures the distance from his eyes to the ground to be 1.45 meters. How tall is the goalpost? Round your answer to the nearest hundredth of a meter.
The height of the goalpost is 16.45 m.
Given, Anand uses a mirror on the ground to measure the height of his school’s football goalpost.
He walks a distance of 14.75 meters from the goalpost, then places a mirror on flat on the ground, marked with an X at the center.
He then steps 1.3 meters to the other side of the mirror, until he can see the top of the goalpost clearly marked in the X.
His partner measures the distance from his eyes to the ground to be 1.45 meters.
we are asked to determine the height of the goalpost = ?
As per the rule of reflection in physics,
Angle of incidence = Angle of reflection
As we can see in the picture attached, both the angles (θ) are equal.
m∠ACB = m∠ECD = 90° - θ
m∠ABC = m∠ADC = 90°
Therefore, both the triangles ΔABC and ΔEDC will be similar.
And by the property of similar triangles, their corresponding sides will be proportional.
AB/ED = CB/CD
1.45/ED = 1.3/14.75
ED = 14.75×1.45/1.3
ED = 16.45 m
Hence the height of the goal post is 16.45 m
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Hey can someone please help me out on this question and explain?It’s below. Thanks so much I appreciate it:) I’ll give brainly
Answer:
153.86
Step-by-step explanation:
to get the area of the circle you take the radius to the power of 2 and then multiply with π
when the radius of circle S is half the radius of circle L and circle L has radius 14 inch, then the radius of S is 7.
area = radius² * π = 7² * π = 49 * π
π is approximately 3.14
so 49*3.14 = 153.86
PLEASE HELPP!!!!! A number line going from negative 20 to positive 20. What is the absolute value of –20? Use the number line to answer the question. –20 0 20 40
Answer:
C) 20
Step-by-step explanation:
The absolute value of -20 is 20, because absolute value just keeps the same number, but makes positive.
Hope this helped!
Willis Rusch recently purchased a 5-lb box of treats for his dog. The total purchase price was $8.87. What was the price per pound?
Answer:
Willis paid 1.774 dollars a pound
Step-by-step explanation:
Assuming there was no tax in the purchase, you can divide 8.87/5 to get your price per pound.
the price of an item has been reduced by $6.14. the new price is $73.59. what was the original price?
Answer:
79.73
Step-by-step explanation:
Answer:79.73
Step-by-step explanation: because if you take 6.14 and add it to 73.59 you get 79.73
A park is planning a rectangle shaped koi pond with an area given by the expression 4d2 + 8d square feet. Draw one possible design for the koi pond and label the dimensions for length and width
The general rule for the dimensions will be 4d and (d + 2) after taking d = 1, the dimensions are 4 and 3 feet
What is the area of the rectangle?It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
It is defined as two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral.
It is given that:
A park is planning a rectangle-shaped koi pond with an area given by the expression 4d² + 8d square feet.
= 4d(d + 2)
The dimensions could be 4d and (d + 2)
Let d = 1
The dimensions are 4 and 3 feet
Thus, the general rule for the dimensions will be 4d and (d + 2) after taking d = 1, the dimensions are 4 and 3 feet
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Under a 750:1 magnification microscope, a paramecium has a length of
19 mm. What is the actual length of the paramecium?
Using the scale size, the actual length of the paramecium is 0.253.
In the given question we have to find the actual length of the paramecium.
Under a 750:1 magnification microscope, a paramecium has a length of
19 mm.
Using the microscope length of paramecium = 19 mm
Magnification microscope = 750:1
So the actual length of paramecium = microscope length of paramecium× scale size
The actual length of paramecium = 19× 1/750
The actual length of paramecium = 19/750
The actual length of paramecium = 0.253
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Watch help video
What are the coordinates of the point on the directed line segment from (-10, 2) to
(-3,-5) that partitions the segment into a ratio of 4 to 3?
The coordinates of the point on the directed line segment from (-10, 2) to (-3,-5) that partitions the segment into a ratio of 4 to 3 is (-6,-2).
Given:
we have two points :
(-10, 2) to (-3,-5)
and the ratio which partitions the segment is:
4:3
we are asked to determine the coordinates of the point.
Let the given points (-10,2) be (x₁, y₁) and (-3,-5) be (x₂, y₂) and the ratio be m:n.
Using section formula to find the coordinates:
x = (mx₂ + nx₁)/(m+n)
= {4(-3) + 3(-10)} /(4+3)
= -12-30/7
= -42/7
= -6
y = (my₂ + ny₁)/(m+n)
= {4(-5) + 3(2)} / (4+3)
= -20+6/7
= -14/7
= -2
Therefore, the required point is (-6,-2)
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What is the value of the
underlined digit?
5,678.321 6# ñame
The value of the underlined digit is 600.
What is the place value strategy?
The place value strategies are defined as math strategies that use to assist you in resolving your elementary math problems, use your places values, such as tens and hundreds. It is possible to employ enlarged notation or compensation. Using regrouping techniques, you can make the problem easier by compensating for addition.
We must determine the values of each integer in order to calculate the value of the underlined digit (6) in the equation.
In 5,678.321, the first digit, 5, is 1,000 in the thousands of places.
The second digit, 6, is in the hundreds (100) place.
So the value is 600.
Hence the answer is, the value of the underlined digit is 600.
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Let f(x-3) = x2- 2x+ 7, find f(-1)
For given function f(x-3) = x^2- 2x+ 7, the value of f(-1) is 10
For given function f(x-3) = x^2- 2x+ 7 we need to find the value of f(-1)
i.e., we get an equation,
x - 3 = -1
x = -1 + 3
x = 2
Substitute x = 2 in given function,
f(-1) = (-1)^2- 2(-1) + 7
f(-1) = 1 - (-2) + 7
f(-1) = 1 + 2 + 7
f(-1) = 10
Therefore, for given function f(x-3) = x^2- 2x+ 7, the value of f(-1) is 10
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Word problem 2: Paula wants to divide 480 tomatoes equally among 40 baskets. How man
will Paula put in each basked?
Answer:
12
Step-by-step explanation:
480 tomatoes/40 baskets = 12 per basket
i’ll mark brainliest!! helppp
Answer:
T
Step-by-step explanation:
Answer:
T
Step-by-step explanation:
T because it is the same position and Q therefore being congruent to each other, a way visualize it is to flip it and aline the lines together and see which one is the same angle as Q.
A(1,3), B(2, 1) and C(5, 3) are points on a coordinate grid.
Show that the line segments AB and BC are perpendicular.
Input note: find the gradient of AB and the gradient of BC.
As gradients multiplied we get [tex]\frac{-4}{3}[/tex] the line segments AB and BC are not perpendicular
How to find lines are perpendicular?
Perpendicular lines are those that cross at a right angle when two non-vertical lines in the same plane. Vertical and horizontal lines, or the axes of the coordinate plane, are perpendicular to one another. Two parallel lines' slopes have negative reciprocal slopes.
To find whether the line segments are perpendicular we have to first find the gradient of AB and BC
Finding the gradient of AB
A(1,3) and B(2,1)
[tex]m_{AB}[/tex]=(1-3)/(2-1)
= [tex]\frac{-2}{1}[/tex]
=-2
Finding the gradient of BC
B(2,1) and C(5,3)
[tex]m_{BC}[/tex]=(3-1)/(5-2)
=[tex]\frac{2}{3}[/tex]
When we multiply the two gradients if we get -1 then the two line segments are perpendicular.
[tex]m_{AB}X m_{BC} = -2X\frac{2}{3}[/tex]
= [tex]\frac{-4}{3}[/tex]
As the gradient is not equal to -1 the line segments AB and BC are not perpendicular
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Geometry gina Wilson help plsss
Answer: m<BCA = 57°
Step-by-step explanation:
180-(10x-37)°
180-(10x(16)-37)°
180-123
57°
The Body for Life gym charges $15 a month membership fee and a $2 per day usage fee. What does the ordered pair (13, 41) mean?
The ordered pair (13, 41) simply means a daily usage fee of $41 would be charged to use the Body for Life gym for 13 days.
How to calculate the slope-intercept form of the equation?Mathematically, the slope-intercept form of a line can be calculated by using this equation:
y = mx + c
Where:
m represents the slope.x represents the number of days.y represents the daily usage fee.c represents the y-intercept.Based on the information provided, a linear equation which models the situation is given by:
y = 2x + 15
For the ordered pair (13, 41), we have:
y = 2x + 15
y = 2(13) + 15
y = 26 + 15
y = $41.
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Solve for x. 12x +7< -11 or 5x-8>40
The solution of the inequalities is x < - 3 / 2 or x > 48 / 5
How to solve inequalities?In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
Inequality expression always have the symbols <, >, ≤ and ≥.
Therefore, let's solve the inequalities.
12x + 7 < - 11 or 5x - 8 > 40
12x + 7 < - 11
subtract 7 from both sides of the inequalities.
12x + 7 - 7 < - 11 - 7
12x < - 18
divide both sides by 12
x < - 18 / 12
x < - 3 / 2
5x - 8 > 40
add 8 to both sides of the inequalities
5x - 8 + 8 > 40 + 8
5x > 48
divide both sides by 5
x > 48 / 5
x > 48 / 5
Therefore,
x < - 3 / 2 or x > 48 / 5
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Use your calculator to find the angle, to the nearest hundredth of a degree, whose cosine value is 1/7
The angle with cosine value of 1/7 is 81.79°
How to determine the angle?Trigonometry is the branch of mathematics that deals with the relationship between ratios of the sides of a right-angled triangle with its angles
Given that: the cosine value of the angle is 1/7
Let the angle be θ. Then we can write that:
cos θ = 1/7
θ = cos⁻¹ (1/7) (Take the inverse of cosine on both sides)
θ = 81.79°
Note: To get cos⁻¹ on your calculator, press the shift button followed by the cos button
Therefore, the angle is 81.79°
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A coastline has receded 450 centimeters in 9 years. Each year, the coastline recedes the same distance. One meter is equal to 100 centimeters. How far does the coastline recede each year, in meters?
We need to determine the length per year, so take the ratio of 450/9 and simplify it.
r = 450cm/9yr
r = 50cm/1yr
r = 50cm
50cm/100cm = 1/2
So, the coastline recedes 1/2 meters every year.
Answer:0.50 meters
Step-by-step explanation:
How much should be deposited in an account paying 4.5% interest, compounded semiannually, in order to have a balance of $ 5,000 after 19 years and 6 months?
*Enter the answer in dollars and cents, and round to the nearest cent, if needed. Do not include the dollar sign. For example, if the answer is $0.61, only the number 0.61 should be entered.*
Principal ≈ $ ____________
The suitable for blank is 2099.43 approximately.
Let the principle be P.
Time (t) = 19 years and 6 months = 19.5 years
Compound is semiannually.
Rate of Interest (r) = 4.5%
Amount will be (A) = $5000
So, suitable equation is given by,
[tex]A=P\left(1+\frac{r}{200}\right)^2t\\5000=P\left(1+\frac{4.5}{200}\right)^{2\times19.5}=P\left(1+\frac{9}{400}\right)^{39}\\\\P\approx2099.43[/tex]
Hence the suitable for the blank is 2099.43.
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16 divided by 20 in decimal form
Answer:
0.8
Step-by-step explanation:
[tex]\frac{16}{20} =\frac{4(4)}{4(5)}=\frac{4}{5}=0.8[/tex]
Answer: 0.8
Step-by-step explanation:
16/20=4/5, which is the equivalent to 0.8
33) A recipe for pancakes calls for 9 cups of
milk. Nicole has already put in 3 cups.
How many more cups does she need to put
in?
please help me with this practice question
Answer:
10u^2 - 2u - 2
Step-by-step explanation:
Combine like terms:
4u^2 + 3 + 6u^2 - 2u - 5
10u^2 - 2u - 2
can you solve the question that is showed below
5x5=9+3
The value of x is 1.1913
What is the solution to an equation?
In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.
5[tex]x^5[/tex] = 9+3
5[tex]x^5[/tex] =12
[tex]x^5[/tex]=12/5
Take 5th root on both sides
[tex]x=\sqrt[^5]{12/5}[/tex]
x= 1.1913
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The average rate of change from 3 seconds to 7 seconds for EACH?
PLEASE HELP HURRY
SLOPE
GOLF BALL
SECONDS METERS
0 0
3 14
7 32
9 24
12 2
BASEBALL
SECONDS METERS
0 0
3 6
7 15
9 13
12 0
Answer:
Golf ball = 4.5, Baseball = 2.25Step-by-step explanation:
The average rate of change between two points is the slope of the line between those points.
Golf ballThe points are:
(3, 14) and (7, 32)The slope is:
m = (32 - 14)/(7 - 3) = 18/4 = 4.5BaseballThe points are:
(3, 6) and (7, 15)The slope is:
m = (15 - 6)/(7 - 3) = 9/4 = 2.25Answer:
[tex]\textsf{Average rate of change of the golf ball}=\dfrac{9}{2}\; \sf m/s[/tex]
[tex]\textsf{Average rate of change of the baseball}=\dfrac{9}{4}\; \sf m/s[/tex]
Step-by-step explanation:
The average rate of change of function f(x) over the interval a ≤ x ≤ b is given by:
[tex]\boxed{\dfrac{f(b)-f(a)}{b-a}}[/tex]
To find the average rate of change from 3 to 7 seconds:
a = 3b = 7Therefore, use the formula:
[tex]\implies \dfrac{f(7)-f(3)}{7-3}[/tex]
Golf Ball
[tex]\begin{array}{|c|c|}\cline{1-2} \sf Seconds & \sf Meters \\\cline{1-2} 0&0\\\cline{1-2} 3&14\\\cline{1-2} 7&32\\\cline{1-2} 9&24\\\cline{1-2} 12&2\\\cline{1-2}\end{array}[/tex]
From inspection of the table:
f(3) = 14f(7) = 32Substitute these values into the formula to find the average rate of change of the golf ball from 3 seconds to 7 seconds:
[tex]\implies \textsf{Average Rate of Change}=\dfrac{f(7)-f(3)}{7-3}=\dfrac{32-14}{7-3}=\dfrac{9}{2}\; \sf m/s[/tex]
Baseball
[tex]\begin{array}{|c|c|}\cline{1-2} \sf Seconds & \sf Meters \\\cline{1-2} 0&0\\\cline{1-2} 3&6\\\cline{1-2} 7&15\\\cline{1-2} 9&13\\\cline{1-2} 12&0\\\cline{1-2}\end{array}[/tex]
From inspection of the table:
f(3) = 6f(7) = 15Substitute these values into the formula to find the average rate of change of the baseball from 3 seconds to 7 seconds:
[tex]\implies \textsf{Average Rate of Change}=\dfrac{f(7)-f(3)}{7-3}=\dfrac{15-6}{7-3}=\dfrac{9}{4}\; \sf m/s[/tex]
Alton estimated that 240 people attended the band concert. The actual count for attendance was 200 people. Find the percent of error.
8%
17%
20%
40%
it's not 17% so
The principal P is borrowed at a simple interest rate r for a period of time t. Find the simple interest owed for the use of the money. Assume days in a year.
P = 7000$, r = 7.5%, t =15 months
Answer:
$656.25
Step-by-step explanation:
The formula for simple interest is:
[tex]A=Prt[/tex]
Where A is the final amount, P is the principal, r is the rate, and t is the time in years.
The question does not specify whether the interest rate is annual or not, but I will assume it is! To convert 15 months to years, divide it by 12 months!
[tex]\frac{15}{12}=\frac{5}{4}=1.25[/tex]
I also need the percent to be a decimal. To convert a percent to a decimal, divide by 100.
[tex]7.5/100 = 0.075[/tex]
Now, plug the values into the formula!
[tex]A=7000*0.075*1.25\\A=656.25[/tex]
The total amount after 15 months is $656.25
does a low outlier cause the mean to be lower than the median?
pretty sure it does just making sure :)
Answer:
yesss
Step-by-step explanation:
A line passes through the points (14, 9) and (7, 3). What is its equation in slope-intercept form?
Answer:
solve 9 = -6/-7(14) + b this is not the answer but when you solve it that will be your answer
Step-by-step explanation:
m = y2 - y1 y = mx + b
x2 - x1 9 = -6/-7(14) + b
m = 3 - 9
7 - 14
3 - 9 = -6
7 - 14 = -7
m = -6/-7