( will give brainlyest)
Write an expression equivalent to the following problems using the fewest number of terms. ( number 1)
Answers
Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value(s) for the variable(s)
Related Questions
Someone help me please
Answers
Answer:
[tex]\sqrt{60}[/tex]
Step-by-step explanation:
Use the Pythagorean theorem a^2 + b^2 = c^2
In this case you are given a and c, so set the equation up like
2^2 + b^2 = 8^2
b^2 = 8^2 - 2^2
b =[tex]\sqrt{8^{2} -2^{2} }[/tex]
b =[tex]\sqrt{60}[/tex]
A restaurant has the following items on its three-course menu.
List all the possible three-course meals that could be ordered, assuming diners must order one meal from each category.
Starters:
Salad
Garlic bread
Mains:
lamb
pizza
desserts:
cookie
brownie
Answers
Answer:
salad, lamb, cookie
salad, pizza, brownie
garlic bread, lamb, cookie.
garlic bread, pizza, brownie
Answer the following regarding Momentum Change and Force
1. Find the force necessary to gain a velocity of 60 m s-1 within 5 minutes, when acted on a mass of 200 kg which is initially at rest.
2. A force of 150 N acts on an object of mass 600 kg for 2 minutes, which was initially at rest. Find the velocity gained by the object at the end of the second minute.
Answers
1. The force necessary to gain a velocity of 60 m/s within 5 mins is 40 N
2. The velocity gained by the object at the end of the second minute is 30 m/s
1. How to determine the forceInitial velocity (u) = 0 m/sFinal velocity (v) = 60 m/sMass (m) = 200 KgTime (t) = 5 ms = 5 mins = 5 × 60 = 300 sForce (F) =?F = m(v –u) / t
F = 200(60 – 0) / 300
F = 40 N
2. How to determine the velocity Force (F) = 150 NMass (m) = 600 KgInitial velocity (u) = 0 m/sTime (t) = 5 ms = 2 mins = 2 × 60 = 120 sFinal velocity (v) = ?F = m(v –u) / t
Cross multiply
m(v –u) = Ft
Divide both sides by m
v - u = Ft / m
v - 0 = (150 × 120) / 600
v = 30 m/s
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Instructions: Find the surface area of the figure below. Round your answers to the nearest tenth, if necessary.
Answers
The surface area of the figure given is of: 61.3 yd².
What is the combined surface area of a figure?The combined surface area of a figure is the area of each figure.
This figure is composed by:
A circle of radius 3 yd.A triangle with base 6 yd and one leg 11.4 yd.The area of the circle is given as follows:
[tex]A = \pi r^2 = \pi \times 3^2 = 9\pi[/tex]
For the triangle, we need to find it's height, which is the leg of a right triangle, in which one of the sides is 3 and the hypotenuse is 11.4, hence:
h² + 3² = 11.4²
[tex]h = \sqrt{11.4^2 - 3^2}[/tex]
h = 11 yd.
Hence the area of the triangle is:
A = 0.5 x 6 x 11 = 33 yd²
The surface area of the figure is:
9pi + 33 yd² = 61.3 yd².
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HELP HELP HELP
HELP HELP
HELP
(STEP BY STEP)
Answers
With some simple rearrangement, we can rewrite the numerator as
[tex]2x^3 - 3x^2 - x + 4 = 2(x^3 - x) - 3x^2 + x + 4 \\\\ ~~~~~~~~ = 2x(x^2-1) - 3(x^2 - 1) + x + 1 \\\\ ~~~~~~~~ = (2x-3)(x^2-1) + x+1[/tex]
Then factorizing the difference of squares, [tex]x^2-1=(x-1)(x+1)[/tex], we end up with
[tex]\dfrac{2x^3 - 3x^2 - x + 4}{x^2 - 1} = \dfrac{(2x-3)(x-1)(x+1) + x+1}{(x-1)(x+1)} \\\\ ~~~~~~~~ = \boxed{2x-3 + \dfrac1{x-1}}[/tex]
24 feet in 10 seconds
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Answer:Divide your speed in feet per minute by 60
Step-by-step explanation:
Simplify the expression using trigonometric identities:
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The simplified expression is the one in option B.
How to simplify the expression?Remember that:
[tex]sec(x) = 1/cos(x)\\\\cos(x) = cos(-x)[/tex]
With these two, we can rewrite the numerator as:
[tex]sec(x)*sin(-x) + tan(-x)\\\\\frac{1}{cos(x)}*sin(-x) + tan(x)\\\\\frac{1}{cos(-x)}*sin(-x) + tan(-x)\\\\2*tan(-x)[/tex]
Replacing that in the given expression, we have:
[tex]\frac{2*tan(-x)}{1 + sec(-x)} = \frac{2*tan(-x)}{1 + 1/cos(-x)}[/tex]
Now, if we multiply and divide by cos(-x), we get:
[tex]\frac{2*tan(-x)}{1 + 1/cos(-x)} = \frac{2*tan(-x)}{1 + 1/cos(-x)}*\frac{cos(-x)}{cos(-x)} \\\\= \frac{2*sin(-x)}{1 + cos(-x)}[/tex]
Now remember that:
[tex]cos(x) = cos(-x)\\sin(-x) = -sin(x)[/tex]
With these two properties:
[tex]\frac{2*sin(-x)}{1 + cos(-x)} = \frac{-2*sin(x)}{1 + cos(x)}[/tex]
Then the correct option is B.
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A math class's mean test score is 88.4. The standard deviation is 4.0. If Kimmie scored 85.9, what is her z-score
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The z-score of Kimmie is -0.625
Calculating z-scoreThe formula for calculating the z-score is expressed as;
z = x-η/s
where
η is the mean
s is the standard deviation
x is the Kimmie score
Substitute the given parameter
z = 85.9-88.4/4.0
z = -2.5/4.0
z = -0.625
Hence the z-score of Kimmie is -0.625
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HALP URGENT PLS im dum
x =x=x, equals
^\circ
∘
Answers
Answer:
x = 55°
Step-by-step explanation:
That square box indicates a right angle.
A right angle is 90°.
We know that angle x and the 35° angle are making up this 90° angle together.
So, the equation to show what this ship looks like is the following:
[tex]x+35=90[/tex]
This is a simple equation, that if we solve, we get:
[tex]x=55[/tex]
So, x is 55°.
Considering the angle of the ray, it is found that the value of x is of x = 55º.
What is the angle of the ray?The ray has an angle of 180º. It is composed by:
Angle x.An angle of 35º.An angle of 90º.Hence:
x + 35 + 90 = 180
x = 180 - 125
x = 55º.
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Find the volume of this cone.
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To start calculating the volume of the cone, we obtain the following data:
r = 4 cmh = 9 cmπ = 3To calculate the volume of a cone, we apply the following formula:
[tex]\boldsymbol{\sf{V=\dfrac{\pi r^{2}h }{3} }}[/tex], where
V = volumeh = heightr = radiusπ = piWe solve, substituting our data in the formula:
[tex]\boldsymbol{\sf{V=\dfrac{3*(4 \ cm)^{2}*9 \ cm }{3} }}[/tex]taking the square root
[tex]\boldsymbol{\sf{V=\dfrac{3 *16 \ cm^{2}*9 \ cm }{3} }}[/tex]Multiplying
[tex]\boldsymbol{\sf{V=\dfrac{432 \ cm^{3} }{3} }}[/tex]Dividing
[tex]\boxed{\boldsymbol{\sf{V=144 \ cm^{3} }}}[/tex]Therefore the volume of the cone is 144 cm³.
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{What is the formula for finding the}\\\\\huge\textbf{the volume of a cone?}[/tex]
[tex]\large\boxed{\mathsf{\dfrac{\pi \times r^2\times h}{3} = volume}}[/tex]
[tex]\bullet\large\textsf{ Whereas, \boxed{r} is your \underline{radius}, \boxed{h} is your \underline{height}, \& \boxed{\pi} is your pi.}[/tex]
[tex]\bullet\large\textsf{The pi }\boxed{(\pi)}\large\textsf{ is approximately equal to 3.14.}[/tex]
[tex]\huge\textbf{What are the labels in your equation?}[/tex]
[tex]\star\ \large\boxed{{Radius}}\rightarrow \textsf{\underline{4\ centimeters}}}}}[/tex]
[tex]\star\ \large\boxed{{Height}}\rightarrow \textsf{\underline{9\ centimeters}}}}}[/tex]
[tex]\star\ \large\boxed{{\pi}}\rightarrow \textsf{\underline{3}}}}}[/tex]
[tex]\huge\textbf{What does should the equation look}\\\\\huge\textbf{like?}[/tex]
[tex]\large\boxed{\mathsf{\dfrac{3 \times 4^2 \times9}{3}}}[/tex]
[tex]\huge\textbf{What are the steps to solve for the}\\\\\huge\textbf{question to get the result?}[/tex]
[tex]\large\boxed{\mathsf{\dfrac{3 \times 4^2 \times9}{3}}}[/tex]
[tex]\large\boxed{\mathsf{= \dfrac{3\times4\times4\times9}{3}}}[/tex]
[tex]\large\boxed{= \mathsf{\dfrac{3\times16\times9}{3}}}[/tex]
[tex]\large\boxed{\mathsf{= \dfrac{48\times9}{9}}}[/tex]
[tex]\large\boxed{\mathsf{= \dfrac{432}{3}}}[/tex]
[tex]\large\boxed{\mathsf{= \dfrac{432 \div 3}{3\div3}}}[/tex]
[tex]\large\boxed{= \mathsf{\dfrac{144}{1}}}[/tex]
[tex]\large\boxed{\mathsf{= 144\div1}}[/tex]
[tex]\large\boxed{= \textsf{144}}[/tex]
[tex]\huge\textbf{What is the result to this question?}[/tex]
[tex]\huge\boxed{\frak{144\ cm^3}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]What's the answer to this question?
Answers
Answer:
C
Step-by-step explanation:
The solution to a system equations is the point(s) of intersection of the 2 graphs.
Assuming that each square grid represents 1 unit, the coordinates of the point intersection is (-2, 2). This is because drawing a vertical line straight down from the point of intersection, we notice that the x-coordinate of the solution is 2 square units on the left of the origin. Drawing a horizontal line from the point of intersection to the y-axis gives us the y-coordinate of y= 2. Thus, the solution is (-2, 2) and the answer is C.
This method of finding the solution is also known as graphical method, where the graphs of the 2 equations are drawn, and the solution is where the lines cuts through each other.
Alternative methods of solving equations include substitution and elimination methods.
*Origin is the point (0, 0) on the graph, and it is the point in which the two axes intersect.
Additional:
For an example of solving by substitution, do check out the following!
https://brainly.com/question/16296725A teacher chooses two students in a class of 15 girls and 10 boys. The students are randomly chosen. What is the probability that the teacher chooses two girls?
I keep hearing 3/5 and 7/20 but I don’t know which is right, please help.
Answers
Answer: I would go with 3/5, the person who said 7/20 doesn't have any thank you's or ratings besides themselves while 3/5 has thank you's , and confirmation
Step-by-step explanation:
5. Factor
x²-x-72
(x-8)(x+9)
(x-6)(x+12)
(x+6)(x-12)
(x+8)(x-9)
Answers
Answer:
(x + 8)(x - 9)
Step-by-step explanation:
(x+8)(x-9)
= x² - 9x + 8x - 72
= x² - x - 72
Then
The factorization of x² - x - 72 is (x+8)(x-9)
find x please (look at the image)
Answers
Answer:
55
Step-by-step explanation:
Draw a line through the center (horizontally).
Then draw a vertical line through the vertex of the right angle.
You'll get 2 triangles
I'll let you figure this out, it pretty easy
Remember a straight angle add up to 180 degrees, a triangle adds up to 180 degrees.
6x + 4y = 10 slove for x
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Jacob takes 7 classes, each 50.00 minutes long, every day of the 5 day school week. How many hours per week does he spend in class
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7×50×5 = 1750 minutes
1750minutes/60minutes = 29.161 hours
A cyclist rides her bike at a rate of 21 kilometers per hour. What is this rate in kilometers per minute? How many kilometers will the cyclist travel in 20 mins. Don’t round your answers
Answers
Answer:
0.35 km per minute, 7 km in 20 minutes
Step-by-step explanation:
1 hr = 60 minutes
21 km per 60 minutes = 21/60 = 0.35 km per minute
In 20 minutes: 0.35*20 = 7 km
Right triangle J K L is shown. Line L J has a positive slope. A dotted and horizontal line is drawn to point J to form an angle of 53 degrees.
What is the measure of the angle of elevation from point L to point J?
37°
45°
53°
137°
Answers
The angle formed at J and the angle of elevation at L are alternate angles, such that the angle of elevation is 53°
Which method can be used to find the angle of elevation?The given parameters are;
Triangle ∆JKL is a right triangle
The slope of the line LJ = Positive
The angle formed by the horizontal line at J = 53°
Required;
The angle of elevation from point L to point J
Solution;
The angle of elevation at L is formed by an horizontal line drawn at L.
The two horizontal lines are parallel, and the angle of elevation at L is the alternate angle to the angle formed by the horizontal line at J.
Given that alternate angles formed between parallel lines having a common transversal are equal, we have;
The measure of the angle of elevation at L is the same as the angle formed at J which is 53°Learn more about angles formed by parallel lines that have a common transversal here:
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Answer:
C. 53 degrees
Step-by-step explanation:
hype'shfiofaudhskjkwdah
Again pls help out!
Answers
Answer:
okay so I think its, horizontal shift right 2 and a vertical shift down 1
Step-by-step explanation:
so x says + 2 so right 2 and y says -y so down 1..?
I'm kinda rusty tho so yeah
[tex]4(x+y)^{2} -20(x+y)^{2} +25z^{2}[/tex]
Answers
Answer:
I am pretty sure that it is 625.
Answer:
Step-by-step explanation:
please make sure you indicate whether to factorize , simplify, fatorize by grouping , evaluate, or finding the derivative
Elena and her friends order a 24-slice party pizza. She and her friends eat 2/3 of the
pizza. How many slices do they eat altogether .
Answers
Answer:
16 slices
Step-by-step explanation:
24* 2/3 = 16
The perimeter of a rectangle is 64 feet. If one side of the rectangle has a length of 20 feet, how long is the other side?
Answers
Answer:
other side is 12
Step-by-step explanation:
Givens
Perimeter = 64 feet
L = 20
Formula
P = 2L + 2w Substitute Givens
64 = 2*20 + 2w Combine
64 = 40 + 2w Subtract 40 from both sides
64-40 = 40-40+2w Combine
24 = 2w Divide both sides by 2
24/2=2w/2
12 = w
Suppose the diameter is 35cm. what is its curumference?include the unit measure in your answer
Answers
The circumference of the circle of diameter 35cm is 109.9 cm.
Given the diameter of the circle is 35 cm.
We are required to find the circumference of the circle.
The circumference is the arc length of the circle, The perimeter is the curve length around any closed figure. It is equat to the length of the outer ring of a circle.
Formula of circumference=2πr where r is the radius of the circle.
Diameter=35 cm
Radius=35/2 cm (Radius is half of diameter)
Circumference=2π*35/2
=35π
Put the value of π =3.14 (it can be 22/7 as well.)
=35*3.14
=109.9 cm
Hence the circumference of the circle is 109.9 cm.
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Use the diagram to complete the proof
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The missing statements that completes the proof that proves that quadrilateral ACDB is a parallelogram is explained below.
What are the Properties of a Parallelogram?A quadrilateral that has the following properties is a parallelogram, in reference to the quadrilateral ACDB in the image given:
Opposite sides are congruent (AB ≅ CD and AC ≅ BD).Opposite angels are congruent to each other (∠A ≅ ∠D and ∠C ≅ ∠B).Consecutive angles are supplementary (m∠A + m∠C = 180°).Given that ΔCFD ≅ ΔBGA, the proof that quadrilateral ACDB is a parallelogram is given below:
Since we know that ΔCFD ≅ ΔBGA, therefore, CD ≅ BA because corresponding parts of congruent triangles are: congruent.
Since we also know that m∠DCA + m∠CAB = 180°, then we also know that both angles are: supplementary.
Transversal A.F cut the two lines, CD and BA, then the interior angles on the same side of the transversal are: supplementary, thus, we it implies we know that lines CD and BA would be: parallel.
Since one pair of sides (CD and BA) are both parallel and congruent, then we know that quadrilateral ACDB is a parallelogram.
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Hicro
children in a class are asked about the animals they own.
between them, they only have cats, dogs, rabbits and hamsters.
the pictogram shows information about the numbers of cats, dogs and rabbits
owned by members of the class.
a total of 33 animals are kept as pets. complete the pictogram.
Answers
While solving the pictogram, we get that the number of hamsters owned are 4.
Solution:
total number of pets = 33
total number of cats = 12
total number of dogs = 11
total number of rabbits = 6
then total number of hamsters = total pets - total cats, dogs, and rabbits
total number of hamsters = 33 - ( 12 + 11 + 6)
total number of hamsters = 4
also, on the pictogram one block represents 4 animal. then, total number of hamsters will be represented by one block.
view the second attachment for answer.
What is pictogram?
A pictogram, also known as a pictogramme, pictograph, or just a picto[1], is a graphic symbol that communicates its meaning by a visual likeness to an actual thing.In writing and graphic systems where the characters resemble pictures to a large extent, pictographs are frequently utilized.Geographical, recreational, and tourism-related topics can all benefit from the usage of pictograms.Know more about pictogram numerical
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I hope you are trying to ask the question below in the image
Exactly 32% of the students in a school play a sport. Fifty students are randomly selected to determine the probability that, at most, 15 students play a sport. Should a binomial probability density function or cumulative distribution function be used? Explain. (4 points)
Answers
A binomial probability density function should be used to represent the probability
How to determine the type of probability density?
The given parameters are:
Proportion that plays sport, p = 32%Number of students selected, p = 50The probability, P = (x ≤ 15)The proportion that plays sport indicates that
68% of the students do not play sport
So, we have two events, which are
Play sport Do not play sportWhen there are two possible events, then the binomial probability density function should be used
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number 68 is increased by 43%
Answers
Answer:
68 increased by 43% is 97.24.
Step-by-step explanation:
Multiply 68 by 1.43.
68×1.43=97.24
The answer is 97.24.
Hope this helps!
Answer:
97.24 Absolute change, And the actual difference is 97.24 - 68 = 29.24.
Step-by-step explanation:
If a peregrine falcon dove at its maximum speed for half a mile to catch prey, how many seconds would the dive take
Answers
The dive of the Peregrine falcon took 7.5 seconds
How to solve such time related questions?
The key concept for solving such questions is the relationship between speed, distance and time.
The relationship between them is Distance = Speed X Time
Assuming the top speed of a Peregrine falcon is 240mph.
Distance travelled by the Peregrine falcon = 0.5 miles
By using the formula we get
0.5 = 240 x time
time = [tex]\frac{1}{480}[/tex] hours
time = [tex]\frac{3600}{480}[/tex] seconds = 7.5 seconds
∴ The dive of the Peregrine falcon took 7.5 seconds
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Help me please I’m giving briainly need help ASAP
Answers
Answer:
f(-x) = -4x^3 + 9x, f(x) is an odd function
Step-by-step explanation:
We are given that f(x) = 4x^3 - 9x. In order to solve this problem, we first need to understand what an odd function is and what an even function is. When we have an odd function, f(-x) = -f(x). Meaning, that if we plug -x in for x, we should get -f(x). On the other hand, with an even function, f(-x) = f(x). Even if you change the sign, when you simplify, you will get back the same function. In either case, we have to first find f(-x) to figure this problem out:
[tex]f(-x)=4(-x)^3-9(-x)\\f(-x)=-4x^3+9x[/tex]
We can see from our answer for f(-x) that it is equal to -f(x). We can verify this below:
[tex]-f(x)=-(4x^3-9x)\\-f(x)=-4x^3+9x[/tex]
Since f(-x) = -f(x), our function f(x) is an odd function
What information is needed to shoe ABC~EDC
Answers
Answer:
I guess the first one is correct........