Answer:
b= 1/2
c = 1
Step-by-step explanation:
10b = 5
You want to leave the variable b on it's own so you divide both sides by 10
10b/10 = 5/10 --> b = 5/10 or 1/2
Since you have the value of b now, plug it in to solve for the value of c
c = (2 (1/2) - 2)^2
= (1 - 2)^2 Half of 2 is 1, of course
= (-1)^2 (-1 * -1)
c = 1 (a negative times a negative is a positive
So the value of be is 1/2 and c is 1
Hope this helps!
Me pueden ayudar en este problema de potencia antonio tiene3 cajas , en cada caja hay 3 botones que contienen 3 lapices cuantos lapices habra en total
Answer:
23 lapices
Step-by-step explanation:
Él tiene 3 cajas.
Cada caja contiene 3 botones.
Cada botón contiene 3 lápices.
La cantidad de lápices que tendrá en total es:
[tex]N = 3 * 3 * 3 = 3^3 = 27[/tex]
Tendrá 23 lápices
A farmer has a 100 ft by 200 ft rectangular field that he wants to increase by 15.5% by cultivating a strip of uniform width around the current field. How wide of a strip should he cultivate around the edge of his field to do this? The strip around the outside is _ feet wide
Answer:
(a) The strip should be 5ft wide
(b) The strip around the outside field is 10ft wide.
Step-by-step explanation:
Given:
Length of the rectangular field, L= 200 ft
width of the rectangular field, w = 100 ft
Area of the rectangular field, A = 200ft x 100ft = 20000 ft^2
let the width of the strip = x
The strip around the outside field = 2x
If the field is increased by 15.5%
New area of the field = 1.155 x 20000 = 23,100 ft^2
The increase in area of the field = 3,100 ft
3,100 = New area of field - old area of the field
3100 = (200 + 2x)(100 + 2x) - 20000
3100 = 20000 + 400x 200x + 4x^2 - 20000
3100 = 600x + 4x^2
Divide through by 4
775 = 150x + x^2
x^2 + 150x - 775 = 0
Factorize
(x + 155)(x-5) = 0
x = 5 ft
The strip should be 5ft wide.
The strip around the outside field = 2 x 5 ft = 10 ft
Thus, the strip around the outside field is 10ft wide.
Find the range of the graphed function
Answer:
-9 ≤ y ≤ 5
Step-by-step explanation:
The range is all the values of y. In this case, the values of y are any number in between -9 and 5. So -9 ≤ y ≤ 5.
Answer:
x ≥ 0
Step-by-step explanation:
What is the domain of the function on the graph?
1. all real numbers
2. all real numbers greater than or equal to 0
3. all real numbers greater than or equal to -2
4. all real numbers greater than or equal to -3
(look at attached graph)
Answer:
3. All real numbers greater than or equal to -2
what are the coefficients in the polynomial 7x^2-4x+6?
Answer:
7 and -4
Step-by-step explanation:
Coefficients are the number before the variables. Their job is to multiply the variable by their quantity. 7x and -4x are the two expressions with both a number and a variable. That makes 7 and -4 the coefficients.
Estimate the measure of ∠DBC.
Could someone please help me with this?
Answer:
Option (4). 135°
Step-by-step explanation:
From the figure attached,
Two pair of vertical angles have been given,
∠ABD and ∠CBE
∠ABE and ∠CBD
One pair of angles ∠ABD and ∠CBE are acute angles which are less than 90°.
Similarly, other pair ∠ABE and ∠DBC are obtuse angles which are more than 90°.
Therefore, out of the given options measure of one pair ∠DBC and ∠ABE should be 135°.
Option (4) will be the answer.
I NEED ANSWERS FAST. 1.Using the following image, find
FE given GF=6 and GE=13, 2.Using the following image, find
RS given ST=5and RT=11
.
Answer: FE is 7 and RS is 6.
Step-by-step explanation:
13 - 6 = 7
11-5= 6
Answer:
FE = 7
RS = 6
Step-by-step explanation:
for the first line, we know that line GE is 13 units long, and segment GF is 6 units. simply subtract 6 from 13 to get the length of segment FE.
13 - 6 = 7
You can do the same thing for the second problem.
11 - 5 = 6
hope it helps!
Find the slope of the line that passes through (5, 9) and (2, 2). will mark brain
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
The right answer is 7/3
please see the attached picture for full solution
hope it helps..
Good luck on your assignment
Answer:
[tex]slope = \frac{7}{3} [/tex]
Step-by-step explanation:
[tex](5 \: \: , \: \: 9) = > (x1 \: \: \:, \: y1) \\ (2 \: \: , \: \: 2) = > (x2 \: \: \:, \: \: y2)[/tex]
[tex] slope \\ = \frac{y1 - y2}{x1 - x2} \\ = \frac{9 - 2}{5 - 2} \\ = \frac{7}{3} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Find the
a
circle
circumference of
whose
area is 616 cm
Answer: 88 cm
Step-by-step explanation:
The area of a circle is A=πr². Since we know the area, we can use find the radius, and use the radius to find the circumference,
616=πr²
196=r²
r=14
Now that we have the radius, we can use it to find the circumference. The formula for circumference is C=2πr.
C=2π(14)
C=28π
C=88 cm
Answer: 87.96 cm
Step-by-step explanation:
Radius = √a/π
=√616 / π = 14 cm
Circumference = 2πr
= 2 x π x 14
= 87.96 cm
PLZ HELP QUICK PLZ
Find the arc length of the semicircle.
Either enter an exact answer in terms of
π
πpi or use
3.14
3.143, point, 14 for
π
πpi and enter your answer as a decimal.
Answer:
hope this helps you
Answer: it’s 11n
Step-by-step explanation: so we all know this is the answer people :^
Help please !!!!! thank you
Answer:
C
Step-by-step explanation:
To find the product you must multiply the two expressions:
[tex](x-3)*(x+7)[/tex] Starting equation
[tex]x^{2} +7x-3x-21[/tex] Use the FOIL method to multiply the two binomials
[tex]x^{2} +4x-21[/tex] Combine like terms
Simplify to create an equivalent expression
8k-5(-5k+3)
Answer:
33k - 15
Step-by-step explanation:
8k-5(-5k+3)
Distribute
8k +25k -15
Combine like terms
33k - 15
_______________________________
Solution,
8k-5(-5k+3)
= 8k+25k-15
=33k-15
hope it helps..
Good luck on your assignment
_____________________________
Which expression is equivalent to (9x + 5y)²?
a) 9x² + 45xy + 5y²
b) 18x² + 45xy + 10y²
c) 45x² + 45xy + 45y²
d) 81x² + 90xy + 25y²
e) 0
Claire is on a business trip. She’ll be traveling from Liverpool, England, to Melbourne, Australia. The latitude value of Liverpool is 53.41 degrees, and the longitude value is -2.99 degrees. The latitude value of Melbourne is -37.81 degrees, and the longitude value is 144.96 degrees. The two cities are degrees apart in latitude. The two cities are degrees apart in longitude.
Answer:
The change in latitude, Δφ, from Liverpool to Melbourne is 91.22° south
The change in longitude, Δλ, from Liverpool to Melbourne is 147.95° East
Step-by-step explanation:
The parameters given are;
The latitude of Liverpool is 53.41°
The longitude of Liverpool is -2.99°
The latitude of Melbourne is -37.81°
The longitude of Melbourne is 144.96°
The change in latitude from Liverpool to Melbourne = Δφ
Δφ = 53.41° - (-37.81°) = 53.41° + 37.81° = 91.22°
The change in latitude, Δφ, from Liverpool to Melbourne = 91.22° south
The change in longitude from Liverpool to Melbourne = Δλ
Δλ = -2.99° - 144.96° = -147.95°
Therefore the change in longitude from Liverpool to Melbourne = 147.95° East.
Answer:
the difference in latitude is 91.22°
the difference in longitude is 147.95°
Explanation:
For Liverpool, London. The latitude is 53.41°, longitude is -2.99°
For Melbourne, Australia. The latitude is -37.81°, longitude is 144.96°
The negative or positive magnitude of their values shows their position on either sides of the origin of the latitude (equator) and the origin of the longitude (prime meridian).
The latitude measures the relative position of a point, north or south of the equator (latitude 0°). The longitude measures the relative position, east or west of the prime meridian (longitude 0°)
the difference in latitude is 53.41° - (-37.81°) = 53.41° + 37.81° = 91.22°
the difference in longitude = 144.96° - (-2.99°) = 144.96 + 2.99 = 147.95°
. Joanne does a daily walk from building P to building Q. Given point P(6,9) and point Q(5,-4), what is the distance between points P and Q on this campus map of the local college?
Answer:
The distance between points P and Q on this campus map of the local college is 13.038 units
Step-by-step explanation:
We are given that Joanne does a daily walk from building P to building Q
[tex]P=(x_1,y_1)=(6,9)\\Q = (x_2,y_2)=(5,-4)[/tex]
We are supposed to find the distance between points P and Q on this campus map of the local college
We will use distance formula :
[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Substitute the values in the formula .
[tex]d=\sqrt{(5-6)^2+(-4-9)^2}\\d=13.038[/tex]
Hence the distance between points P and Q on this campus map of the local college is 13.038 units
Answer:
13 feet
Step-by-step explanation:
We use the distance formula:
Learn how to find the distance between two points by using the distance formula, which is an application of the Pythagorean theorem. We can rewrite the Pythagorean theorem as d=√((x_2-x_1)²+(y_2-y_1)²) to find the distance between any two points.
"Write an equation that you can use to represent the volume of a square prism. Use b to represent the length and width of the base. Use h to represent the height of the prism. Use espantes if possible. Then explain your answer." Please help I need to turn in this in 10 minutes
Step-by-step explanation:
A square prism is a cube. The equation that represents the volume of a cube is:
length*width*height
or, in your case, b*b*h
If you are talking about a square-based pyramid, then you use 1/3 * length * width * height or 1/3 * b * b * h. You can use the exponents where needed.
Is it possible to form a triangle with
side lengths 5, 3, and 5 units?
Answer:
Yes
Step-by-step explanation:
Isosceles triangle with base of 3 units and sides of 5 units
Answer:
yes
Step-by-step explanation:
use a+b > c, a+c > b, and b+c > a if two sides are bigger than one side for every combination then you can form a triangle
According to exponent rules, whne we multiply exponential expressions we___the exponents
Answer:
add
Step-by-step explanation:
in a given year, the rate of flu infection for the general public was 8.3%. And sample of 200 people who receive the flu vaccine, the rate of flu infection was just 3.5%. What conclusion should you draw?
Answer:
[tex]\fbox{\begin{minipage}{10em}Option A is correct\end{minipage}}[/tex]
Step-by-step explanation:
Step 1: Define significance level
In this hypothesis testing problem, significance levels α is selected: [tex]0.05[/tex], the associated z-value from Laplace table:
Φ([tex]z[/tex]) = α - [tex]0.5 = 0.05 - 0.5 = -0.45[/tex]
=> [tex]z[/tex] = [tex]-1.645[/tex]
Step 2: Define null hypothesis ([tex]H_{0}[/tex]) and alternative hypothesis ([tex]H_{1}[/tex])
[tex]H_{0}[/tex] : rate of flu infection [tex]p[/tex] = 8.3% or 8.3/100 = 0.083
[tex]H_{1}[/tex] : rate of flu infection [tex]p[/tex] < 8.3% or 8.3/100 = 0.083
Step 3: Apply the formula to check test statistic:
[tex]K = \frac{f - p}{\sqrt{p(1 - p)} } * \sqrt{n}[/tex]
with [tex]f[/tex] is actual sampling percent, [tex]p[/tex] is rate of flu infection of [tex]H_{0}[/tex], [tex]n[/tex] is number of samples.
The null hypothesis will be rejected if [tex]K < z[/tex]
Step 4: Calculate the value of K and compare with [tex]z[/tex]
[tex]K = \frac{(\frac{3.5}{100}) - 0.083}{\sqrt{0.083(1 - 0.083)} } * \sqrt{200} = -2.46[/tex]
We have [tex]-2.46 < -1.645[/tex]
=>This is good evidence to reject null hypothesis.
=> The actual rate is lower. (As [tex]H_{1}[/tex] states)
Hope this helps!
:)
Based on an architectural drawing, a roof slopes to a drain
along the function represented in the table that defines the
edge of slope, where x is the horizontal distance in feet and
f(x) is the vertical distance in feet.
If the drain is at the minimum point, how far is it from the wall
defined by the y-axis?
0 feet
8 feet
80 feet
160 feet
Answer:
80 feet
Step-by-step explanation:
The smallest value of f(x) in the table is f(x) = 0. It occurs where x = 80.
Since x is the horizontal distance in feet from the wall, the minimum point (drain) is 80 feet from the wall.
Answer:
c
Step-by-step explanation:
edge2020
Write a polynomial function of least degree with zeros 1, -2, -3
Answer:
f(x) = (x - 1)(x + 2)(x + 3)
Step-by-step explanation:
The function would be f(x) = (x - 1)(x + 2)(x + 3). This is of the third degree.
Which of the following statements is true of the Alien and Sedition Acts?
They were designed to keep immigrants and the French in power.
They encouraged Americans to speak out against the government.
They were supported by Federalists and not by Democratic-Republicans.
Answer:
C (the last one)
Step-by-step explanation:
The Alien and Sedition Acts were a series of four laws passed by the U.S. Congress in 1798 amid widespread fear that war with France was imminent. The four laws–which remain controversial to this day–restricted the activities of foreign residents in the country and limited freedom of speech and of the press. Also, The Alien and Sedition Acts were four laws passed by the Federalist-dominated 5th United States Congress and signed into law by President John Adams in 1798. Seeing this, the last on is the only reasonable one.
Hope this helps!!!!
Answer:
They were supported by Federalists and not by Democratic-Republicans.
Step-by-step explanation:
I took the edge 2021 test
BRAILIEST?
The cost of a hall rental for a wedding is $500. Each meal at the wedding will cost an additional $45.50
a) Write an algebraic expression equation for the total cost of the wedding.
b) Calculate how many people attended the wedding if the wedding cost totalled $3912.50.
Answer:
a) 45.50p + 500
b) 45.50p + 500 = 3912.50
p = 70
Step-by-step explanation:
p = number of people
$45.50 for a meal for each person, so:
45.50p
The constant is $500, so let's add that to the expression:
45.50p + 500
Which values are equivalent to the fraction below? 6^7/6^5
Answer:
36
Step-by-step explanation:
Because the bases are the same we can just subtract the exponents to get us 6² or 36.
The units of the subway map below are in miles. Suppose the routes between stations are straight, find the distance you would travel between the Jackson and Symphony stations.Write your answer to the nearest tenth of a mile.
Answer:
Distance between Jackson and Symphony stations is 2.2 miles.
Step-by-step explanation:
From the given map,
Location of two stations can be represented by the ordered pairs Jackson(2, 4) and Symphony(1, 2)
Every unit of the map represents the distance of 1 mile.
Distance between two points is measured by the formula,
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]
Therefore, distance between the given stations will be,
d = [tex]\sqrt{(2-1)^2+(4-2)^2}[/tex]
= [tex]\sqrt{1+4}[/tex]
= [tex]\sqrt{5}[/tex]
= 2.236
≈ 2.2 miles
Distance between Jackson and Symphony stations is 2.2 miles.
Is 6 a solution to the equation x^2 - 4 = 5x? Please tell me why or why not
Answer:
6 is not a solution to the given equation.
Step-by-step explanation:
We are given the equation [tex]x^2-4=5x[/tex]
We need to know whether or not x=6 is a solution. This means that we should substitute in 6 for each instance of x. Then, if both sides of the equation are equal, then 6 is a solution to the equation.
[tex]x^2-4=5x\\\\(6)^2-4=5(6)\\\\36-4=30\\\\32=30[/tex]
As 32 ≠ 30, 6 is not a solution to the given equation.
Find the number missing from the following equivalent fractions 20/35=4/?
The missing number is 7.
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Why are the solutions to the proportions StartFraction 50 over x EndFraction = StartFraction 10 over 20 EndFraction and StartFraction 10 over 50 EndFraction = StartFraction 20 over x EndFraction the same?
Answer:
x=100
Step-by-step explanation:
50/x=10/20 and 10/50=20/x
50/x=10/20
Cross multiplication
50*20=x*10
1000=10x
x=1000/10
x=100
Check:
50/100=
Divide by 5
10/20
10/50=20/x
Cross multiplication
10*x=50*20
10x=1000
x=1000/10
x=100
They are the same because the fraction that has the unknown both have the same ratio
Answer:
The anser is d edge 2020 lol
Step-by-step explanation:
Please help me with my math question!!!!
Answer:
No.
Step-by-step explanation:
It is because a line is said to be perpendicular to another line if the two lines intersect at a right angle or at 90° and the two lines in the graph does not intersect at 90° angle..
mark brianliest if my answer suit your question..
PLZ HELP meeeeeeeeeeeeeeeeeeeee
please see the attached picture
Hope it helps
Good luck on your assignment,
MY KEY BROKE AND ITS NOT UNNY
