Answer:
{-2/7, 2/7}
Step-by-step explanation:
Here you're being asked to solve the given equation 49w^2-4=0 for w with the hint that the solutions are fractions.
49w^2-4=0 is the product of the sum and difference of two squares:
(7w - 2)(7w + 2) = 0
Setting each factor equal to zero and solving for w, we get:
{-2/7, 2/7} as the solutions.
to find the area of triangle abc, Jen first drew a square around the figure. two sides of the square passed through the points B and C. the other two sides met at point A. draw Jens square, and explain how you can use it to find the area of triangle ABC
Answer:
s²/2
Step-by-step explanation:
Area of square = 2 triangles
Find the area of the square using s²
For area of the triangle, divide by 2
The area of Jens square and the area of the triangle is A = ( 1/2 )s²
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the triangle be represented as ΔABC
Now , the measure of sides of the triangle are
AB = AC = s
From the figure , we can see that
Now , area of the triangle = ( 1/2 ) x Length x Base
On simplifying , we get
A = ( 1/2 )s²
Hence , the area of the triangle is A = ( 1/2 )s²
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A mass of 6 g of Carbon contains
Answer:
try half a mole or 3.01 x 10^23 atoms of it.
Step-by-step explanation:
because 12g of carbon cas 1 mole so 6 would have 0.5 : )
At a restaurant, you order a meal and a beverage that costs $14. You leave a 20% tip. What is the total cost of the meal?
Answer:
16 dollars and 80 cents plz give branliest
Step-by-step explanation:
Find 10 percent
14 / 10 = 1.4
double it
1.4 * 2 = 2.8
Add 2.8 to 14
to get 16.8
Calculating Factorials
Quick
Check
Evaluate each expression.
6! =
Answer:
6! = 720
Step-by-step explanation:
In evaluating factorial functions, generally
n! = n(n-1)(n-2)(n-3)...× 1
We can see that as we are moving, the value keep decreasing by 1 until it reaches the least value which is 1.
6! = 6(6-1)(6-2)(6-3(6-4)(6-5)
6! = 6×5×4×3×2×1
6! = 720
A right triangle is inscribed in a circle as shown. What is the area of the shaded region. Diameter of 12 and 9 cm in triangle
Answer:
[tex]36\pi -18\sqrt{7}[/tex]
Step-by-step explanation:
Every inscribed right triangle has its hypotenuse as the same size of the Diameter. Assuming that, this is the case check the picture below.
So the hypotenuse= D=2R=12
Shaded Area = Area of the Circle- Area of the TriangleArea of Circle:[tex]A_{circle}=\pi (6)^{2}=36\pi[/tex]
Area of the Triangle:Finding the Triangle base via the Pythagorean Theorem
[tex]a^2=b^2+c^2\\12^2=9^2+c^2\\144-81=c^2\\c=\sqrt{63}\\c=3\sqrt{7}\approx 7.94[/tex]
Now plugging in the base of the triangle on that formula:
[tex]A=\frac{bh}{2}\\A=\frac{3\sqrt{7}*12}{2}\\A=18\sqrt{7}[/tex]
Finally,
Shaded Area = [tex]36\pi -18\sqrt{7} cm^{2} \approx 65.48 cm^{2}[/tex]
Which functions represent exponential growth?
Answer: the answers is y=h(x) and y=k(x)
Step-by-step explanation: on edge
The coast guard is out to sea and gets notification that two ships need help. One ship is directly west of the coast guard, and the other is directly south, as shown in the image below. The two ships are 6 miles from each other. Which ship is currently closer to the coast guard?
Answer:
ship one.
Step-by-step explanation:
you are using Pythagoras
Answer: I asked this question as well, and got "ship one is closer to the coast guard" however I still need work to support that answer. Is it right?
if the equation y equals 1/5 x + 2 is changed to y equals 1/5 x - 4 how will the graph of the line change
Answer:
if the equation y equals 1/5 x + 2 is changed to y equals 1/5 x - 4, then the graph of the line will translate 6 units downwards.
Step-by-step explanation:
Please help me please!!!!
Answer:
1 F
2 C
3 G
4 D
5 A
6 E
7 B
Step-by-step explanation:
p implies q (conditional)
Which is G
It's converse would be
q implies p
Which is G
F and G together become bi-conditional
Which is B
Contraposition is
not q implies not p
Inverse of p implies q is
not p implies not q
Which is D
Conjunction is p and q,
Which is F
Disjunction is p or q,
Which is C
In the diagram above, lines a and b are parallel. Find the value of x.
Answer:
x= 21
Step-by-step explanation:
Could i get brainliest please? :D
Answer:
x=21
Step-by-step explanation:
143=(6x+17)
143-17=6x+17-17
126=6x
126/6=6x/6
21=x
Hope this helps :)
A special form of the ellipse is called?
A circle is a special form of an ellipse, occurring when both focal points of an ellipse coincide at one point, making its eccentricity zero.
A special form of the ellipse is called a circle. This occurs when the two focal points of an ellipse coincide at a single point, which is also the center of the circle. In mathematical terms, an ellipse whose equation is scaled down in one direction, transforming it into x² + y² = a², represents a circle with center at the origin and radius a.
Kepler's first law regarding planetary orbits also refers to this special case of an ellipse. It states that planets follow an elliptical path with the Sun at one of its focal points. When both focal points are at the same location, indicative of zero eccentricity, the orbit is not elliptical but circular.
The properties of an ellipse are crucial in understanding celestial mechanics and orbits, reflecting the significance of this special case in both mathematics and astronomy.
f(x) = 1/2 x - 5 What is f(6)?
Answer:
-2
Step-by-step explanation:
The value of f(6) for the function f(x) = 1/2 x - 5 will be -2.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
A function can be regarded as a computer, which is helpful.
In other terms, a function is a relationship between variables, and the type of relationship that exists between the variables defines the function, such as y = sinx and y = x +6.
The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.
Given the function
f(x) = 1/2 x - 5
value of function at x = 6
f(6) = (1/2)6 - 5
f(6) = 3 - 5 = -2
Hence, value of function f(x) at x = 6 will be -2.
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HELP PLEASE ASAP 30 PTS I’ll MARK YOU BRAINLIEST
Answer:
x=50 ∠BCX=65
Step-by-step explanation:
The angles is a triangle add up to 180 so
70+45+∠BCX=180 so
115+∠BCX=180 (subtract 115 from both sides)
∠BCX=65
A line adds up to 180
so 2x+15+65=180
so 2x+80=180 (subtract 80 from both sides)
2x=100 (divide by 2)
x=50
It takes 41.7 BTUs to heat a 5 gallon jug of water. What is the density of a gallon of water. Round your answer to the nearest hundredth
Answer: The density is 0.002 lb/cm^3
Step-by-step explanation:
1 BTU is neded to increment the temperature of 1 Lb of water by 1° F
Then if we need 41.7 BTU to increment 1°F of 5 gallons of water, this means that in the 5 gallons we have a mass of 41.7 lbs of water.
And as you know, density = mass/volume
now, 1 gallon = 3.78 liters = 3780 cm^3
then 5 gallons = 5*3780 cm^3 = 18900 cm^3
The density is D = 41.7Lb/18900 cm^3 = 0.002 lb/cm^3
The nursing department of a college surveyed two hundred graduates from their programs about their current
work. The college has different levels of degrees in nursing available. The department found the following
probabilities:
P(bachelor's degree) = 0.45
P(working in nursing) = 0.85
P(in nursing and bachelor's) = 0.4
Find the probability that a graduate is currently working in nursing, given that they earned a bachelor's degree.
P (in nursing bachelor's) =
Answer:
8/9
Step-by-step explanation:
A local farm sells produce to a large grocery chain. The grocery store uses a 28% markup on the farms produce. Of the farm sells the store watermelons for $3.00 each, how much does the grocery store charge?
Answer:
$3.84
Step-by-step explanation
move the decimal back two place - .28, it is a mark up so add a 1 at the beginning - 1.28 - multiply - 3 x 1.28 = 3.84
Which statement about histograms is true?
-Data is organized in categories
-Data appears as bars that are all about the same height
-Data is organized in equal intervals
-Data appears as bars that do not touch
Answer:
The third one is correct, the others bend the truth as they can touch but not overlap. As the third one states 'They are organized in equal intervals.' this means they share an equal growth opportunity within their own column, their own height and nominated place within the histogram. The bars are of equal width and correspond to the equal class intervals. But on rare occasions like size classes they can be shown as a wider variant within their groups. Example would be showing a wider column say on classes at a school as the width and data being achieved forces a true event of variant sizes in education upon the base of the graph, this rarely applies to staff graphs as planning for schools is a wider data share than say offices using these types of graphs. Work development would use just data percentages along with the frequencies is one example so group size are stated in the reports to support more specific data in the graphs instead.
Step-by-step explanation:
To display numerical data that has been organized into equal intervals. The bars should touch the adjacent bars but not overlap. These intervals allow you to see the frequency distribution of the data, or how many pieces of data are in each interval.
Answer:
c
Step-by-step explanation:
The Sum of The Angles in a Triangle please help
Answer:The measure of angle C is 50°
Step-by-step explanation:
The sum of all inside angles must add up to 180°
80+50=130
130+C
C=50
130+50=180
For the polyhedron, use Euler's Formula to find the missing number. faces: __ edges: 12 vertices: 9
There are 5 faces of a given polyhedron.
What is Polynomial?A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminate in mathematics. Majorly used polynomials are binomial and trinomial.
Euler's formula states that for a polyhedron with V vertices, E edges, and F faces,
V - E + F = 2.
In this case, we know that the polyhedron has 12 edges and 9 vertices. Let's use Euler's formula to solve for the number of faces:
9 - 12 + F = 2
F = 2 + 12 - 9
F = 5
Therefore, the polyhedron has 5 faces.
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15 kilograms of rice are separated equally into 4 containers. How many kilograms of rice are in each
container? Express your answer as a decimal and as a fraction,
Final answer:
Each container will have approximately 3.75 kilograms of rice, which can be expressed as 3.75 kg or 15/4 kg.
Explanation:
To find out how many kilograms of rice are in each container, we need to divide the total weight of the rice by the number of containers. In this case, we have 15 kilograms of rice and 4 containers, so we divide 15 by 4. The result is 3.75 kilograms.
So, each container will have 3.75 kilograms of rice.
As a decimal, this can be expressed as 3.75 kg. As a fraction, it can be written as 15/4 kg.
will give brainiest plz helppppppppp!!!!!!!
Answer:
549.16
Step-by-step explanation:
83.08/pi=diameter (26.44)
26.44 / 2 = 13.22 (radius)
area=3.14*(13.22)^2
Answer:
The answer is 550
Step-by-step explanation:
83.08/pi=diameter (26.44)
26.44 / 2 = 13.22 (radius)
area=3.14*(13.22)^2
Amir pitches a baseball at an initial height of 6 feet, with a velocity of 73 feet per second. If the batter misses, about how long does it take the ball hit the ground? (2 points)
Hint: Use H(t) = −16t2 + vt + s.
answer choices
4.64 seconds
2.94 seconds
2.28 seconds
0.08 second
How much water should be added to 50 ml of 45 percent acid solution to dilute it to a 35 percent acid solution?
(Will Mark as Brainliest)
Answer:
dont drink water .
Step-by-step explanation:
Answer:
12.5
Step-by-step explanation:
A cylinder has a base diameter of 8ft and a height of 20ft. What is its volume in cubic ft, to the nearest tenths place?
The volume of a cylinder with a base diameter of 8ft and height of 20ft is approximately 1005.3 cubic feet.
Explanation:The volume of a cylinder can be calculated using the formula Volume = πr²h where π represents approximately the number 3.14, 'r' signifies the radius of the cylinder, and 'h' denotes the height of the cylinder.
In this case, the diameter of the cylinder is given as 8 feet, so the radius will be half of that which is 4 feet. The height is specified as 20 feet.
Substitute these values into the equation:
Volume = π * (4 ft)² * 20 ft
This simplifies to:
Volume = 3.14 * 16ft² * 20ft
By multiplying these values, we get the volume equals the product of these numbers:
Volume ≈ 1005.3 cubic ft. Hence, the volume of this cylinder to the nearest tenths is 1005.3 cubic feet.
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The volume of a cylinder with an 8ft diameter and 20ft height is approximately 1005.3 cubic feet, rounded to the nearest tenths place.
To calculate the volume of a cylinder, we use the formula V = πr²h, where V represents the volume, r is the radius of the cylinder's base, and h is the height of the cylinder. Given that the diameter of the cylinder is 8ft, the radius is half of the diameter, which is 4ft. Now, using the formula:
V = πr²h
V = π(4ft)² × 20ft
V = π16ft² × 20ft
V = π 320ft³
V = 1005.31ft³
Therefore, the volume of the cylinder is approximately 1005.3 cubic feet, rounded to the nearest tenths place.
the volume of a rectangular dog kennel is modeled by the polynomial x3 +14x2 +60+72. If the height of the kennel is modeled by (x+2) and the length and width are equal to each other, what expression could represent the dog kennel
The expression could represent the dog kennel is (x + 2)(x + 6)²
What expression could represent the dog kennel
From the question, we have the following parameters that can be used in our computation:
Volume = x³ + 14x² + 60x + 72
Height = x + 2
Dividing the Volume by the Height , we have
x² + 12x+ 36
x + 2 | x³ + 14x² + 60x + 72
x³ + 2x²
--------------------------------------------------------
12x² + 60x + 72
12x² + 24x
--------------------------------------------------------
36x + 72
36x + 72
--------------------------------------------------------
0
So, we have
x³ + 14x² + 60x + 72 = (x + 2)(x² + 12x+ 36)
Expand
x³ + 14x² + 60x + 72 = (x + 2)(x + 6)²
Hence, the expression could represent the dog kennel is (x + 2)(x + 6)²
How do you write twenty five increased by six in a numerical expression
Answer:
25+6
Step-by-step explanation:
60% of x is equal to 87. Write an equation that expresses the relationship between 60%, x, and 87.
Answer: 0.6x = 87
Step-by-step explanation:
Hi, to answer this question we have to write en equation:
We have to multiply the variable x by the percentage given (60%) in decimal form (divided by 100). That expression must be equal to 87.
Mathematically speaking:
x (60/100) = 87
0.6x = 87
Feel free to ask for more if needed or if you did not understand something.
This equation states that 60% (or 0.60) of x is equal to 87.
To express the relationship between 60% of x and 87, we can set up an equation. Since 60% can be written as 0.60, we can write:
0.60x = 87
To solve for x, we divide both sides of the equation by 0.60:
x = 87 ÷ 0.60
So, x will be:
x = 145
This shows that 60% of 145 is equal to 87.
Uta invests an amount into a compound interest investment account that pays 6% a year. After six years, she withdraws her total balance of $500. Using the formula A = P (1 + r) Superscript t, how much money did Uta initially invest?
$180.00
$320.00
$352.48
$471.70
Answer: $352.48
Step-by-step explanation:
Hi, to answer this question we have to apply the formula:
A = P (1 + r)^t
Where
A: total balance after invest
P: principal amount invested
r = interest rate (in decimal form)
t = time (years)
Replacing with the values given:
500= P (1+0.06)^6
Solving for P:
500 = P (1.06)^6
500 / ( (1.06)^6)=P
500 / 1.4185 =P
$352.48= P
Answer:
352.48
Step-by-step explanation:
Which of these inferences about the two debate teams are true? Check all that apply.
West Side is more consistent at winning.
East Side is more consistent at winning.
East Side typically wins more debates per year than West Side.
West Side typically wins more debates per year than East Side.
These graphs do not contain enough information from which to draw inferences.
Answer:
B and C
Step-by-step explanation:
i did on ed
Answer:
B and C
Step-by-step explanation:
If the diameter of a circle is 15 inches, what is the radius?
Answer:
7.5
Step-by-step explanation:
R= d/2
Divide 15 by 2
Answer:
7.5
Step-by-step explanation:
So the formula is:
[tex]\frac{d}{2}[/tex]=r
So Divide 15 by 2. Which is 7.5
14 divided by 2 is 7, and the 1 left over would be a .5
Hope this helped!