Answers
Answer:
GiveN:-Sides of triangles are √80 , 8 and xTo FinD:-Value of x = ??SolutioN:-we know that given triangle is right angled triangle.
➢ By using Phythagoras Theorem:-
\( \sf \longrightarrow \: (AC)^2 = (AB)^2 + (BC)^2\)
\( \sf \longrightarrow \: ( \sqrt{80} )^2 = (x)^2 + (8)^2\)
\( \sf \longrightarrow \: 80 = (x)^2 + (8)^2\)
\( \sf \longrightarrow \: 80 \: = x^2 \: + \: 8^2\)
\( \sf \longrightarrow \: 80 \: = x^2 \: + \: 64\)
\( \sf \longrightarrow \: 80 \: - 64 = x^2 \:\)
\( \sf \longrightarrow \: 16 = x^2 \:\)
\( \sf \longrightarrow \: x^2 \: = 16\)
\( \sf \longrightarrow \: x \: = \sqrt{16} \)
\( \sf \longrightarrow \: x \: = 4 \: units \)
Related Questions
Find the surface area of this rectangular prism.
Answers
developing countries are providing new markets for companies that can provide them with needed: multiple select question. managers goods services technology
Answers
Managers, goods, services, and technology are all needed in developing countries, and therefore, they provide new markets for companies that can supply these essentials.
Developing countries often have growing economies and increasing consumer demands. As these countries strive for development and improvement, they require effective management to drive their businesses and organizations. Managers play a crucial role in overseeing operations, implementing strategies, and maximizing efficiency.
Additionally, developing countries require goods and services to meet the needs of their populations. This includes basic necessities such as food, clothing, and shelter, as well as other essential products and services like healthcare, education, infrastructure development, and transportation. Companies that can provide these goods and services have an opportunity to enter new markets and cater to the demands of the growing population.
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need help asap very confusing (for me)
Answers
Answer:
The last one (2/3 and 8/12)
Step-by-step explanation:
When you reduce 8/12, you would get 2/3. If you multiply 2/3, you would get 8/12. Therefore, this ratio is proportional.
Have a good day :)
josh , James and John share sweets in ratio 1:2:4 . Josh has 9 sweets less than John . how many sweets does John have ?
Answers
Answer:
12
Step-by-step explanation:
1:2:4
let josh=1x
james=2x
john=4x
josh has nine sweets less than john
4x-1x=9
3x=9
x=3
john's sweet=4x
4(3)=12
If Earth was 10 times farther away from the sun than it is now, which planet would it be closest to? (Assume all the planets are aligned with the sun and are on the same side of the sun.) Compare Earth's new distance to that planet. How far apart would they be in standard notation? How far apart in scientific notation? Show your work.
Answers
Answer:Answer: - The Earth will be closest to Saturn. - The Earth and Saturn will be 38,800,000 miles apart in standard notation
Step-by-step explanation:
becuase the earth and saturn are pretty farr
find the arc length of the polar curve r = e5θ where 0 ≤ θ ≤ 2π.
Answers
The arc length of the polar curve r = e^5θ from 0 to 2π is √26 [(e^10π - 1) / 5].
What is an arc?To find the arc length of a polar curve, we use the formula:
L = ∫[a,b] √(r(θ)² + [dr(θ)/dθ]²) dθ
where r(θ) is the polar equation of the curve, and dr(θ)/dθ is its derivative with respect to θ.
In this case, we have r(θ) = e^5θ, so:
dr(θ)/dθ = 5e^5θ
Plugging these into the arc length formula, we get:
L = ∫[0,2π] √(e^10θ + (5e^5θ)²) dθ
Simplifying the integrand, we have:
L = ∫[0,2π] √(e^10θ + 25e^10θ) dθ
L = ∫[0,2π] √(26e^10θ) dθ
L = √26 ∫[0,2π] e^5θ dθ
Using the formula for the integral of e^x, we get:
L = √26 [e^5θ / 5] |_0^(2π)
L = √26 [(e^10π - 1) / 5]
So the arc length of the polar curve r = e^5θ from 0 to 2π is √26 [(e^10π - 1) / 5].
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based on size, which of the following groups would be the most
stable?
a. 15 people
b. 5 people
c. 10 people
d. 2 people
Answers
The group that would be the most stable based on size would be 10 people. So, the correct answer is c. 10 people.
What is a group?A group is a set of people or objects that are deemed to be equivalent or share a common feature. Group members may collaborate and share knowledge to achieve a common goal. The group's performance is frequently greater than the sum of its members' individual efforts, and this is known as the group effect.
What is group stability?Group stability is defined as the ability of a group to remain together and keep working toward its objective over time. It is essential for a group to achieve its objectives and is typically linked to the group's size and objective. A stable group can withstand external pressures and is less susceptible to breaking up or being disbanded.
How does size affect group stability?A group's size has a significant influence on its stability. Small groups are often more cohesive and productive than large groups. On the other hand, as a group's size grows, it becomes more challenging to sustain cohesion and productivity. A group of 10 people would be the most stable since it's not too large or too small. Thus, the correct option is c. 10 people.
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Solve for
2/x+1 = 3/x-5
Answers
Answer:
x=16
Step-by-step explanation:
I hope this helped
Answer:
x= 1/6
Step-by-step explanation:
1) Add the same term to both sides of the equation
2/x+1=3/x-5
2/x+1-1=3/x-5-1
2) Simplify-Add the numbers
2/x=3/x-6
3) Multiply all terms by the same value to eliminate fraction denominators
4) Simplify
5) Add the same term to both sides of the equation
6) Simplify
7) Divide both sides of the equation by the same term
8) Simplify
1/6=x
I hope this helps!
what is x - 2 5/8 = 6 1/4
Answers
Answer:
8 7/8 is the correct answer
Step-by-step explanation:
hope this helps
\(x - 2 \frac{5}{8} = 6 \frac{1}{4} \)
\(x - \frac{21}{8} = \frac{25}{4} \)
\(x = \frac{50}{8} + \frac{21}{8} \)
\(x = \frac{71}{8} \)
\(x = 8 \frac{7}{8} \)
Match each shape to its name
Answers
Answer:
I can’t really answer this because you didn’t show a picture. Here’s a thought though. Look up a shape chart on google and work from there. Hope this helps you out
what is the coefficient of x in 4x⁵5+6x²-7x-9
Answers
Answer:
-7
Step-by-step explanation:
Place in standard form.
4x⁵+6x²-7x-9
The coefficient of the x-value is -7.
Hope this helps!
\(4x 5 5+6x 2 −7x−9\)
The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of any constant term is 0. The derivative of anorthit's naxn−1
\(5×20x 5−1 +2×6x 2−1 −7x 1−1\)
Multiply 5 by 4×5.
\(100x 5−1 +2×6x 2−1 −7x 1−1\)
Subtract 1 from 5.
\(100x 4 +2×6x 2−1 −7x 1−1\)
Multiply 2 by 6.
\(100x 4 +12x 2−1 −7x 1−1\)
Subtract 1 from 2.
\(100x 4 +12x 1 −7x 1−1\)
Subtract 1 from 1.
\(100x 4 +12x 1 −7x 0\\\)
For any term t, t 1=t.
\(100x 4 +12x−7x 0\)
For any term t except 0, t 0=1.
\(100x 4 +12x−7\)
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I speak English and Spanish
Pls Help lol (50pts) :))
Answers
Answer:
the answer is b
Step-by-step explanation:
a solid copper cylinder of rest length $l$ is suspended vertically. the young's modulus of the cylinder is $y$. by what fraction does the volume of the cylinder increase? you can assume the radius of the cylinder does not change much and set the density of copper to $\rho.$
Answers
The question asks for the fraction by which the volume of a vertically suspended solid copper cylinder, with a given rest length and Young's modulus, increases. The radius of the cylinder is assumed to remain relatively unchanged, and the density of copper is provided.
When a solid copper cylinder is suspended vertically, it experiences an increase in length due to its own weight. The fraction by which the volume increases can be calculated by considering the change in length and the original length of the cylinder.
Let's denote the original length of the cylinder as l and its volume as V. The increase in length of the cylinder can be determined using the concept of Young's modulus (Y), which describes the material's elasticity or stiffness.
The change in length (Δl) can be calculated using the formula:
Δl = (F * l) / (A * Y),
where F is the weight of the cylinder, A is the cross-sectional area, and Y is Young's modulus.
Since the radius of the cylinder is assumed to remain relatively unchanged, the cross-sectional area remains constant. Therefore, the change in volume (ΔV) can be approximated as:
ΔV = A * Δl = (F * l) / Y.
To find the fraction by which the volume increases, we divide ΔV by the original volume V:
Fractional increase in volume = ΔV / V = [(F * l) / Y] / V.
Given the density of copper (ρ), the weight of the cylinder (F) can be calculated as F = ρ * g * V, where g is the acceleration due to gravity.
By substituting the expression for F and rearranging the equation, the fraction by which the volume increases can be determined using the given variables (l, Y, ρ):
Fractional increase in volume = [(ρ * g * V * l) / Y] / V = (ρ * g * l) / Y.
Thus, the fraction by which the volume of the solid copper cylinder increases is (ρ * g * l) / Y.
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At the local pet store, zebrafish cost $2.10 each, and neon tetras cost $1.95 each. if ernesto bought 13 fish for a total cost of $26.70 not including tax, how many of each type of fish did he buy?
Answers
Answer:
zebrafish: 9neon tetras: 4Step-by-step explanation:
The numbers of zebrafish and neon tetras can be found by writing an equation relating the numbers of each to their total cost.
__
setupLet z represent the number of zebrafish Ernesto bought. Then the number of neon tetras is (13 -z), and the total cost of the purchase was ...
2.10z +1.95(13 -z) = 26.70
solution0.15z +25.35 = 26.70 . . . . . . simplify
0.15z = 1.35 . . . . . . . . . . . . subtract 25.35
z = 9 . . . . . . . . . . . . . . . divide by 0.15
Ernesto bought 9 zebrafish and 4 neon tetras.
A line is parallel to y = 3x + 2 and
intersects the point (1,9). What is the
equation of this parallel line?
y = [?]x + [ ]
Hint: Use the Point-Slope Form: y - y1 = m(x - X1)
Then write the equation in slope-intercept form.
Answers
Explanation:
1. First find the slope. Since you are finding a line that is parallel to y = 3x+2, the slopes should be the same. This means that 3 will be your slope.
2. plug in (1,9) and the slope of 3 into the point-slope form equation
y - 9 = 3 ( x - 1 )
3. simplify y - 9 = 3 ( x - 1 )
y = 3x+6 is your answer
prove that whether y=X^2 -3 is a one-one function or not.
Answers
Answer:
To determine whether the function f(x) = x^2 - 3 is one-to-one or not, we need to check whether different values of x in the domain of the function produce different values of y.
Assume that there exist two different values x1 and x2 such that f(x1) = f(x2). Then, we have:
x1^2 - 3 = x2^2 - 3
Adding 3 to both sides, we get:
x1^2 = x2^2
Taking the square root of both sides, we get:
|x1| = |x2|
Therefore, we can see that there are two possible cases:
If x1 = x2, then f(x1) = f(x2), which means the function is not one-to-one.
If x1 ≠ x2 but |x1| = |x2|, then f(x1) = f(x2), which means the function is not one-to-one.
Therefore, we can conclude that the function f(x) = x^2 - 3 is not one-to-one. This is because different values of x can produce the same value of y. For example, both f(2) and f(-2) give the same value of 1. Therefore, the function is not invertible, and its inverse cannot be uniquely defined.
Answer:
Step-by-step explanation:
To determine whether y = x^2 - 3 is a one-to-one function, we need to use the horizontal line test. The horizontal line test states that a function is one-to-one if and only if every horizontal line intersects the graph of the function at most once. Here are the steps to show whether y = x^2 - 3 is a one-to-one function:
Step 1: Assume that y = x^2 - 3 is not a one-to-one function.
Step 2: To disprove this assumption, we need to find two distinct values of x that map to the same value of y.
Let y = x^2 - 3
Suppose x1 and x2 are two distinct values such that y(x1) = y(x2)
Then we have x1^2 - 3 = x2^2 - 3
Rearranging, we get x1^2 = x2^2
Taking square root of both sides, we get |x1| = |x2| since x1 and x2 are distinct values.
Therefore, we have two cases:
Case 1: x1 = -x2
Substituting this into the original equation y = x^2 - 3, we get y(x1) = y(-x1)
This means that both x1 and -x1 map to the same value of y. Thus, y = x^2 - 3 is not a one-to-one function.
Case 2: x1 ≠ -x2
In this case, we have found two distinct values of x that map to the same value of y, which means that y = x^2 - 3 is not a one-to-one function.
Step 3: Since we have found two distinct values of x that map to the same value of y, we have proven that y = x^2 - 3 is not a one-to-one function.
Therefore, we can conclude that the function y = x^2 - 3 is not one-to-one.
Alex want to make a paperweight at pottery cla. He deign a pyramid-like model with volume of 200 cubic centimeter. He want the paperweight to weigh at leat 300 gram. What i the lowet poible denity of the material Alex ue to make the paperweight?
Answers
On solving the provided question, we can say that - Density is defined as mass/volume (300/200 = 1.5 g/cm3).
What is pyramid ?
Three-dimensional objects include pyramids. The base is a flat polygonal shape. All other faces are triangles and are referred to as faces. Its base has the same number of sides on all of its faces. Two crossing faces provide the line segments that make up its edges. Three dimensions can be seen in a pyramid. A pyramid has a flat triangular face and a polygonal base that unite at a single point known as the vertex. By joining the base and peak, a pyramid is created. The base's edges form triangle faces known as sides that connect to the top.
The volume for a pyramid
\(V = (1/3)*Abase*h\)
Abase is the base area, V is the volume, and h is the height. What we have for Alexis' pyramid is
\(V = (1/3)*100*6 = 200 cm³\)
The density must be at least: as he wants the paperweight to have a mass of at least 300 grams.
Density is defined as mass/volume (300/200 = 1.5 g/cm3).
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correlation coefficients are expressed on a standard scale that always ranges from -1.00 up to what value?
Answers
The correlation coefficients are expressed on a standard scale that always ranges from -1.00 up to +1.00.
Correlation does not mean equal causation. Just because two variables have a relationship does not necessarily mean that changes in one variable cause changes in the other. Correlations indicate that there is a relationship between variables, but this does not necessarily determine that one variable causes the other to change.
Correlations range from -1.00 to +1.00. The correlation coefficient (expressed as r ) shows the strength and direction of a relationship between two variables. The closer the r value is to +1 or -1, depending on how stronger the linear relationship between the two variables is.
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Forensic linguists are able to efficiently and accurately analyze a wide variety of written and spoken forms of language assisted by ____. Text messaging criminology the police communications and records the use of technology.
Answers
Answer:
I think the answer is Criminology.
Step-by-step explanation:
Since a forensic linguist performs language analysis on written or recorded documents to help solve crimes.
Hope that helps. x
Using the 4 train car strategy for factoring polynomials, what is the green common factor for the 1st two train cars and the green common factor for the 3rd and 4th train car: . note: the answers are intermediary steps. do not enter the final step or factored form, but this question is asking what is the intermediate step as the answer.
2x^2 + 4x + 3xy + 6y
enter your answer in the boxes.
Answers
The completely factored expression of 2x^2 + 4x + 3xy + 6y is (2x + 3y)(x + 2)
How to factor the polynomial?The expression is given as:
2x^2 + 4x + 3xy + 6y
Group the expression into two
[2x^2 + 4x] + [3xy + 6y]
Factor out each group
2x(x + 2) + 3y(x + 2)
Factor out x + 2
(2x + 3y)(x + 2)
Hence, the completely factored expression of 2x^2 + 4x + 3xy + 6y is (2x + 3y)(x + 2)
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Answer:
Step-by-step explanation:
ans in picture
Dr. Green has to multiply the weight of the team’s bug spray bottles, 7 x 90 grams. To solve this, he writes out the equation 7 x 9 x 10.
Why does this strategy work?
Answers
Escribe las siguientes cantidades en forma de notación científica
a. 1'300.000 segundos
b. 450 metros
c.2'000.000.000.000.000.000 litros
d. 68 metros
Answers
Answer:
I don't know. I am sorry
Step-by-step explanation:
For a repeated-measures study comparing two treatments with 12 scores in each treatment, what is the df value for the t statistic?
Answers
The degree of freedom for t statistic is 11.
According to the given question.
For a repeated-measure study, comparing two treatments with 12 scores in each treatment .
So, we can say that sample size, n = 12.
We know that, when you have a sample and estimate the mean, we have
n – 1 degrees of freedom, where n is the sample size.
Therefore,
The degree of freedom for the given sample test will be
d.f = n -1
⇒ d.f = 12 - 1
⇒ d.f = 11
Hence, the degree of freedom for t statistic is 11.
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En una radio, 1/8 del dia esta destinado a emitir publicidad. Del total de publucidad, 3/5 corresponden a comerciales de univercidades. En esta radio,¿que fraccion del tiempo diario corrsponde a publicidad de univercidades.
Answers
Respuesta:
3/40
Explicación paso a paso:
Dado :
Fracción de tiempo diario dedicado a publicidad = 1/8
Del tiempo diario dedicado a publicidad, 3/5 corresponde a comerciales de universidad
Fracción del tiempo diario dedicado a la publicidad de las universidades:
3/5 de 1/8
3/5 * 1/8 = (3 * 1) / (5 * 8) = 3/40
find the length of the bold arc. Round your answer to the nearest tenth.
Answers
Answer:
The length of the bold arc is approximately 13.4 mi
Step-by-step explanation:
The radius of the circle having the arc, r = 17 mi
Therefore, the circumference of the circle, 'C', is given as follows;
C = 2·π·r
∴ C = 2×π×17 = 34·π
The angle subtended by the arc = 45°
The sum of the angles at the center of the circle = 360°
By similarity, the ratio of the length of the bold arc to the circumference of the circle = The ratio of the angle subtended by the arc to the sum of the angles at the center of the circle
Mathematically, we have;
\(\dfrac{The \ arc \ length}{C} = \dfrac{\theta}{360^{\circ}}\)
Therefore, we get;
\(\dfrac{The \ arc \ length}{34 \cdot \pi} = \dfrac{45 ^{\circ}}{360 ^{\circ}} = \dfrac{1}{8}\)
\({The \ arc \ length}{} = \dfrac{1}{8} \times 34 \cdot \pi = 4.25 \cdot \pi\)
The length of the bold arc = 4.25·π mi ≈ 13.4 mi (by rounding off the answer to the nearest tenth).
Point P'P′P, prime is the image of P(6,0)P(6,0)P, left parenthesis, 6, comma, 0, right parenthesis under the translation (x,y)\to(x-6,y-1)(x,y)→(x−6,y−1)left parenthesis, x, comma, y, right parenthesis, \to, left parenthesis, x, minus, 6, comma, y, minus, 1, right parenthesis.
Answers
The location of point P is at (0, -1)
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
Translation is the movement of a point left, right, up or down in the coordinate plane.
We are given the coordinates of point P and asked to find the coordinates of the image P'.
Given point P at P(6, 0), A translation of (x,y)→(x−6,y−1) is done to produce an image P'. Therefore point P is translated 6 units left and 1 unit down to get P'.
Hence P' = (0, -1)
Therefore P' is at (0, -1)
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The Rose Theater seats 146 people, and the theater is hosting a play for 8 nights. If the theater is at about 80% capacity for each night of the play, approximately how many people will attend the play?
Answers
Answer:
Attendance= 936 people
Step-by-step explanation:
Giving the following information:
The Rose Theater seats 146 people, and the theater is hosting a play for 8 nights. If the theater is at about 80% capacity
80% Capacity= 146*0.8= 117
Now, for eight nights:
Attendance= 117*8
Attendance= 936
The circle has center O. Its radius is 9 ft, and the central angle a measures 110°. What is the area of the shaded region?
Answers
Answer:
99π/4 sq ft
Step-by-step explanation:
Area = (110/360)\(\pi 9^{2}\)
= 99π/4
Kelly works two jobs. She usually works at a retail store for 7 hours during the day and is paid $11.72 per hour by the store. In the evening she works at a restaurant as a manager for 6 hours and is paid $8.96 per hour. How much does she make on average per hour for the day?
Answers
Answer:
$10.44
Step-by-step explanation:
Day - 7 hours
one hour - $11.72
7 hrs = (7 × $11.72)
Total per day = $82.04
Evening- 6 hours
1 hour- $8.96
6 hours =(6 × $8.96)
= $53.76
Average = total amount of money ÷ total amount of hours worked
= ($82.04 + $53.76) ÷ ( 7 + 6 )
= 135.8 ÷ 13
= $10.44
Removing the seasonal component from a time-series can be accomplished by dividing each value by its appropriate seasonal factor. false true
Answers
Answer:
Step-by-step explanation:
False.
Removing the seasonal component from a time-series can be accomplished by using methods such as seasonal differencing or decomposing the time-series into its seasonal, trend, and residual components. Dividing each value by its appropriate seasonal factor may adjust for the seasonal variation but it does not remove it entirely.