Step-by-step explanation:
\(4(5y - 8 - 2) = 145 - 15 \\ 4(5y - 10) = 130 \\ 5y - 10 = 130 \div 4 \\ 5y - 10 = 32.5 \\ 5y = 32.5 + 10 \\ 5y = 42.5 \\ y = 42.5 \div 5 \\ = 8.5 \: or \: 8\frac{1}{2} \)
Answer:
the answer is 8.5
Step-by-step explanation:
Write an equation in standard form for the line that passes through the given points.
(5,-2) and (5,3)
The equation of the line in standard form is
(Type your answer in standard form.)
x=5 is the required equation of straight line
What is slope of line ?The steepness of a line is determined by its slope. The slope is m in the equation for a line that is typically used, y = mx + b. The term "rise over run" is also frequently used to describe it and describes how much the y-value changes as the x-value does.
According to the given value;
slope of line is Y₂-Y₁/X₂-X₁
hence slope for given line will be
3-(-2)/5-5 =5/0 = ∞
slope is infinity means straight line is vertical in nature and vertical lines are of the form x=a where a is some constant
now we can observe that 5 is constant in both the given points so x=5 is the required line which passes through (-2,-6),(-2,5)
Hence,x=5 is the required equation of straight line .
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slope of p=
slope of q=
slope of r=
slope of m=
*PLEASE HELP*
**HELP ME ASAP! THANKS** What is the area of the triangle?
I need help solving this
Answer:
Yes yes no no
Step-by-step explanation:
This image should help
You are attempting to build a device with three identically charged objects placed in a straight line. If each object needs to have a charge of 10mC and they need to be separated by 0.5 m, how much energy is required to build the device? 4.5 Megajoules (B) 5.4 Megajoules (C) 3.6 Megajoules 6.3 Megajoules
The energy required to build the device is 1.8 Megajoules (J). None of the given options match this result!
To calculate the energy required to build the device, we need to consider the electrostatic potential energy between the charged objects. The formula for the electrostatic potential energy is given by:
E = k * q1 * q2 / r
where:
E is the electrostatic potential energy,
k is the electrostatic constant (approximately 9 x 10^9 N m²/C²),
q1 and q2 are the charges of the objects, and
r is the separation distance between the objects.
In this case, each object has a charge of 10 mC, which is equivalent to 10 x 10^-3 C. The separation distance between the objects is 0.5 m. Plugging these values into the formula, we get:
E = (9 x 10^9 N m²/C²) * (10 x 10^-3 C) * (10 x 10^-3 C) / 0.5 m
Simplifying the expression, we have:
E = (9 x 10^9 N m²/C²) * (10 x 10^-3 C)² / 0.5 m
E = (9 x 10^9 N m²/C²) * 100 x 10^-6 C² / 0.5 m
E = (9 x 10^9 N m²/C²) * 100 x 10^-6 C² / 0.5 m
E = (9 x 10^9 N m²/C²) * 100 x 10^-6 C² / 0.5 m
E = (9 x 10^9 N m²) * 100 x 10^-6 C² / 0.5 m
E = (9 x 10^9 N m²) * 200 x 10^-6 C² / m
E = 1.8 x 10^6 N m / m
E = 1.8 x 10^6 J
Therefore, the energy required to build the device is 1.8 Megajoules (J).
None of the given options match this result. Please double-check the problem statement or provide more information if needed.
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Answer fast please and thank you
Answer:
wait did u upload this twice-
Step-by-step explanation:
Opens up or down, Vertex: (-10, -1), Passes through: (-8, -5)
Answer:
opens down
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) - (- 10, - 1 ) , then
y = a(x + 10)² - 1
To find a substitute (- 8, - 5) into the equation
- 5 = a(- 8 + 10)² - 1 ( add 1 to both sides )
- 4 = a(2)² = 4a ( divide both sides by 4 )
- 1 = a
y = - (x - 10)² - 1 ← equation in vertex form
To determine if it opens up/ down consider the value of a
• If a > 0 then curve opens up
• If a < 0 then curve opens down
Here a = - 1 < 0 then curve opens down
divide the given polynomial by the given monomial 3 x square - 2 x divided by X
Please answer this in two minutes
Answer:
Tan(x) = 1/\(\sqrt{3}\)
We know that Tan 30 = 1/\(\sqrt{3}\)
Therefore, x = 30 degrees
Solve each proportion
Answer:
\( \frac{11}{b - 1} = \frac{6}{b + 1} \\ 11(b + 1) = (b - 1).6 \\ 11b + 11 = 6b - 6 \\ 11b + 11 - 11 = 6b - 6 - 11 \\ 11b - 6b = 6b - 17 - 6b \\ 5b = - 17 \\ \frac{5b}{5} = \frac{ - 17}{5} \\ b = \frac{ - 17}{5} \\ b = - 3.4\)
\(\boxed{\underline{\bf \: Answer}}\)
\( \sf \frac{11}{b + 1} = \frac{6}{b + 1} \\ \)
Multiply both sides of the equation by \(\left(b-1\right)\left(b+1\right)\), the least common multiple of b-1,b+1.
\(\sf\left(b+1\right)\times 11=\left(b-1\right)\times 6 \)
Use the distributive property to multiply b+1 by 11.
\(\sf11b+11=\left(b-1\right)\times 6 \)
Subtract 6b from both sides.
\(\sf11b+11-6b=-6 \)
Combine 11b and -6b to get 5b.
\(\sf5b+11=-6 \)
Subtract 11 from both sides.
\(\sf5b=-6-11 \)
Subtract 11 from -6 to get -17.
\(\sf5b=-17 \)
Divide both sides by 5.
\(\sf \: b=\bf\frac{-17}{5} \)
=> The correct answer is \(\bf \: b=\frac{-17}{5} \) or \(\bf \: b= -3.4 \) (✓).
__________
Hope it helps.
RainbowSalt2222
if you were given the following statements write your conclusion
if you are given :
Answer:
ab and cd intersect at E because they are vertically opposite angles they always intersect at a point
If y varies directly as x, and y=2 when x=3 find y when x=1
when the value of x=1 the value of y will be 0.
What is a function?
A function is a special form of relation where every input has exactly one output. In other words, for every input value, the function returns exactly one value. Given that one is mapped to two separate values, the graph above depicts a relation rather than a function. But if one were instead mapped to a single value, the relation above would change into a function. In addition, output values could match input values exactly.
The function machine receives the x-value input. The function machine then executes its operations and produces the y-values. Any function may be the function within.
If y varies directly as x, and y=2 when x=3
f(x)=y=x+c
So 2 = 3+c
c=-1
So function is y = x-1
y = 1-1
y=0
Hence, when the value of x=1 the value of y will be 0.
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a fair coin is tossed times in succession. the set of equally likely outcomes is . find the probability of getting exactly .
The probability of obtaining exactly three of the same result when flipping a fair coin four times in a row is 0.25.
Let's calculate the probability of getting the same outcome when flipping a fair coin n times in a row.
Meaning of a fair coin:
A coin is known as a fair coin if it has two sides and there is an equal probability of both sides appearing.
In other words, the probability of each side appearing is 0.5, implying that there is a 50 percent chance of it appearing.
The total number of outcomes that can be obtained when a fair coin is flipped n times in a row is 2n.
The total number of possible outcomes in this scenario is 2n.
Let's look at the likelihood of obtaining the same result when flipping a fair coin n times in a row.
The probability of obtaining the same result when flipping a fair coin n times in a row is:
P(H) = probability of getting a head P(T) = probability of getting a tail.
The probability of obtaining the same outcome when flipping a fair coin n times in a row is : P(HH...H) + P(TT...T) = (0.5)n + (0.5)n
= 2(0.5)n
= 2n-1.
For n = 4, P(HH...H) + P(TT...T)
= (0.5)4 + (0.5)4
= 0.0625 + 0.0625
= 0.125, or 1/8.
Exactly k outcomes are expected to occur with a probability of (n choose k) x (1/2)k x (1/2)n-k.
The probability of obtaining exactly k results when flipping a fair coin n times in a row is calculated using this formula.
Let's look at the probability of obtaining exactly k outcomes when flipping a fair coin n times in a row.
This is the binomial distribution formula.
P(X=k) = \((nCk)*(p^k)*((1-p)^(n-k)),\) here p=0.5 as it's a fair coin.
Where, n = the number of coin flips
p = probability of getting the same result in each flip (0.5 for a fair coin)
k = number of times the same result is obtained
For k=3, the probability is : \(P(X=3) = (nCk)*(p^k)*((1-p)^(n-k))P(X=3)\)
\(= (4C3)*((0.5)^3)*((1-0.5)^(4-3))=4*0.125*0.5=0.25\)
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Please help me with this math problem!! Will give brainliest! :)
Answer:
I believe it is 6 but I'm not sure
Step-by-step explanation:
Sorry I am unsure
Step-by-step explanation:
the function for x≥—1 is x²—3
so f(3) = 3²—3=9—3=6
Find the exact value of sin П/6.
The exact value of sin(π/6) is 1/2.
To find the exact value of sin(π/6), we can use the unit circle or the trigonometric identity for the sine function. In the unit circle, π/6 corresponds to an angle of 30 degrees, which lies in the first quadrant.
At this angle, the y-coordinate of the corresponding point on the unit circle is 1/2. Since sin(θ) represents the ratio of the opposite side to the hypotenuse in a right triangle, for an angle of 30 degrees, sin(π/6) is equal to 1/2.
Alternatively, we can use the trigonometric identity sin(θ) = cos(π/2 - θ). Applying this identity, we have sin(π/6) = cos(π/2 - π/6) = cos(π/3). Now, π/3 corresponds to an angle of 60 degrees, which lies in the first quadrant.
At this angle, the x-coordinate of the corresponding point on the unit circle is 1/2. Therefore, cos(π/3) = 1/2. Substituting this value back into sin(π/6) = cos(π/3), we get sin(π/6) = 1/2.
In both approaches, we find that the exact value of sin(π/6) is 1/2, indicating that the sine function of π/6 radians is equal to 1/2.
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I believe this is 10x but I don’t know
please help im stuck need help
Answer:3
Step-by-step explanation:
250-3= 247,
If each classmate has to get a whole cookie then
247/3= 3.38
You cannot give more than you have (she can’t give 3.38 cookies because those aren’t whole cookies, she cannot also give 4 cookies because she doesn’t have enough to give 4 one person will probably get only 3 or something) so the only option is to give 3 cookies to each classmate.
Which number are solutions of the inequality below? x - 7< -8 (Select that all apply) 1) 8 2) 1 3) -1 4) -3
To determine which numbers are solutions we need to solve the inequality:
\(\begin{gathered} x-7<-8 \\ x<-8+7 \\ x<-1 \end{gathered}\)Therefore the numbers less than zero are solutions.
From the options given we conclude that -3 is solutions to the inequality, therefore the answer is 4.
WILL MARK BRAINLIEST
Which linear function represents the line given by the point-slope equation y + 7 =-(x + 6)?
•f(x)= -2/3x -11
•f(x)=-2/3x-1
•f(x)=-2/3x+3
•f(x)=-2/3x+13
Answer:
im 6 sorry
Step-by-step explanation:
Please answer^^ I will give you brainlist!
Yes 5th grade math :clown face:
Answer:
Rhombuses
Step-by-step explanation:
It has four vertical lines, then draw a Venn Diagram, opposite to opposite.
Order from Venn Diagrams:
Quadrilaterals
Rectangles
Squares
Rhombuses.
statistics computed for larger random samples are less variable than the statistic computed for smaller random samples
Statistics computed for larger random samples tend to be less variable compared to statistics computed for smaller random samples.
This statement is based on the concept of the Central Limit Theorem (CLT) in statistics. According to the CLT, as the sample size increases, the distribution of the sample mean approaches a normal distribution regardless of the shape of the population distribution. This means that the variability of the sample mean decreases as the sample size increases.
The variability of a statistic is commonly measured by its standard deviation or variance. When working with larger random samples, the individual observations have less impact on the overall variability of the statistic. As more data points are included in the sample, the effects of outliers or extreme values tend to diminish, resulting in a more stable and less variable estimate.
In practical terms, this implies that estimates or conclusions based on larger random samples are generally considered more reliable and accurate. Researchers and statisticians often strive to obtain larger sample sizes to reduce the variability of their results and increase the precision of their statistical inferences.
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59:22
What is the range of the function on the graph?
4
O all real numbers
O all real numbers less than or equal to -1
O all real numbers less than or equal to 3
O all real numbers less than or equal to 0
1 2
-4 -3 -2 -1.
-2
Save and Exit
Me
Sub
Mark this and return
Answer:
C
Step-by-step explanation:
the range is all the possible numbers on the Y axis. We can see that the graphs peaks at 3 and then goes down both ways. This means that eventually the y axis will be equal to all real numbers less than 3
The range of the function looks to be all real numbers less than or equal to -1, according to the provided graph. The best choice is B.
What is a range of a function?This is due to the fact that the graph's horizontal line at y=-1, which shows that the function accepts all values less than or equal to -1, stretches eternally in both directions.
The collection of all potential output values that a function can take on is generally referred to as the function's range. You can look at the vertical spread of the graph to see what values the function can take on in order to determine the range of a function from its graph.
Observe that the accompanying graph features a horizontal line at y=-1 that spreads out infinity in both directions. This indicates that for all values of x, the function takes on the value of -1.
The graph also features a vertical line at x=2 that goes on forever in both directions, as can be seen. This shows that the function can accept any value of y for x=2.
Combining these findings, we can determine that the function has a range of all real numbers less than or equal to -1 since it takes on the value of -1 for all x and the range of potential values of y is unrestricted.
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PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answer:
A is the answer men thanks for the brainliest really appreciate
Find the equivalent exponential expression. (5^5)^4
Answer:
5^20
Step-by-step explanation:
since you have brackets around (5^5) you can multiply the exponents. if you think about it what you're essentially doing is
(5 * 5 * 5 * 5 * 5) * (5 * 5 * 5 * 5 * 5) * (5 * 5 * 5 * 5 * 5) *
(5 * 5 * 5 * 5 * 5)
which is why you can multiply the exponents to simplify
she borrows a loan of 5000 from a loan company the loan company charges 6%how much the simple intrest
Answer:
300
Step-by-step explanation:
Given data
P=5000
R= 6%
T= 1 year
The simple interest formula is
SI= PRT/100
SI= 5000*6*1/100
SI= 30000/100
SI= 300
Hence the simple interest is 300
what does 96*96 equal??
How do i find the slope
Answer:
y=1/2x
Step-by-step explanation:
Its a positive slope so you go up 2 then right 4
Answer:
slope = \(\frac{1}{2}\)
Step-by-step explanation:
Calculate the slope m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (6, 3) ← 2 points on the line
m = \(\frac{3-0}{6-0}\) = \(\frac{3}{6}\) = \(\frac{1}{2}\)
What is m PLEASE help me!
Answer:
104
Step-by-step explanation:
8x = 7x + 13
x = 13
m<U = 7(13) + 13 = 91 + 13 = 104 degrees
[HELP! WILL GIVE BRAINLIEST] Determine the value of θ.
Answer:20.9248 degrees
Step-by-step explanation:
sin(θ)=opposite/hypotenuse
θ=sin⁻¹(opposite/hypotenuse)
θ=sin⁻¹(5/14)
θ=20.9248 degrees or θ=0.3652 radians
describe a dataset where defining a confidence interval would be important for testing validity of data
The sample's data values ought to be unrelated to one another. The sample data need to be consistent. Data from the quantitative ordered pair sample should be gathered at random or in a way that is representative of the overall population. The sample's data values ought to be unrelated to one another.
A confidence interval is a much better tool to use if we wish to communicate the level of uncertainty surrounding our point estimate (CI). A confidence interval (CI) is a symmetrical range of values where the results of repeated, related experiments are likely to fall. The middle of this range corresponds to our point estimate.
Confidence intervals, which describe how closely study results match reality or how dependable they are based on statistical theory, are regularly mentioned in scientific publications.
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