Answer:
The vertex is (-1, 4)
Not sure what the table looks like, but just plug the x values into the equation to get a complete point
Graph the points on a graph
Step-by-step explanation:
Find the value of x.
B
10-X
3
D
E
х
2.
A
c
x = [?]
Answer:
The answer would be 4
Step-by-step explanation:
2/3=x/10-x
(cross multiply)
2(10-x)=3x
20-2x=3x
20=5x
(divide by 5)
x=4 (That would be the answer You welcome.)
Fill in the blank 4
For the given triangle the value of x = 4.
In the given figure,
The triangles, ABC and DBE are similar
Since we know that,
Triangles that are similar to one another in shape but differ in size are known as similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent.
Therefore, we have the proportionality,
EC/BE = AD/DB
⇒ 2/3=x/10-x
After cross multiplying
⇒ 2(10-x)=3x
⇒ 20-2x=3x
⇒ 20=5x
Divide both sides by 5, and we get,
⇒ x = 4
Hence,
The value of x = 4.
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A scuba diver is at the surface of the ocean. Then the diver starts to descend at a rate of 24 feet per minute. If the driver descends for three minutes, what will the depth be at that moment?
I'll give Branliest! :D
Answer: 72 feet
Step-by-step explanation: 24 x 3 = 72
24 PER minute. Theirs 3 minutes so multiply that x 3 and you get 72 ft.
What is the present value of R13 000 p.a. invested at the beginning of each year for 8years at 10%p.a. compound interest? (NB Use the compound interest tables provided or work to three decimal places only.)
Given statement solution is :- The present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.
To calculate the present value of an investment with compound interest, we can use the formula for the present value of an annuity:
PV = A *\((1 - (1 + r)^(-n)) / r\)
Where:
PV = Present value
A = Annual payment or cash flow
r = Interest rate per period
n = Number of periods
In this case, the annual payment (A) is R13,000, the interest rate (r) is 10% per year, and the investment is made for 8 years (n).
Using the formula and substituting the given values, we can calculate the present value:
PV = \(13000 * (1 - (1 + 0.10)^(-8)) / 0.10\)
Calculating this expression:
PV = \(13000 * (1 - 1.10^(-8)) / 0.10\)
= 13000 * (1 - 0.46318) / 0.10
= 13000 * 0.53682 / 0.10
= 6977.66 / 0.10
= 69776.6
Therefore, the present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.
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( BRAINLIEST)
toreded wanted to buy a laptop for his son. His budget was AED 1500. The price of a laptop he liked was available in supermarket at AED 2500. If the price is reduced by 2/5 during a sale, then will he be able to buy it? How much will the cost of the laptop be after discount?
Answer:
yes, the laptop would cost 1000 AED
Step-by-step explanation:
2500 dived by 2/5 + 1000
A thermometer reading 10°C is brought into a room with a constant temperature of 36°C. if the thermometer reads 14°C after 2 minutes, what will it read after beint left in the room for 4 minutes? and for 9 minutes?
Answer:
4 minutes: 17.4 °C9 minutes: 23.7 °CStep-by-step explanation:
You want to know a thermometer's reading 4 minutes and 9 minutes after begin brought into a room with a temperature of 36 °C if its initial reading is 10 °C, and it rises to 14 °C after 2 minutes.
Newton's law of coolingNewton's law of cooling tells you the temperature difference of 36 -10 = 26 °C will decline exponentially. If it declines to 36 -14 = 22 °C after 2 minutes, then the temperature reading can be modeled by ...
T = 36 -26·(22/26)^(t/2)
At times of t=4 and t=9, the temperature readings will be ...
4 minutes: 36 -26(11/13)^(4/2) ≈ 17.4 °C9 minutes: 36 -26(11/13)^(9/2) ≈ 23.7 °C__
Additional comment
The time constant of this thermometer is about 12 minutes, so it will take about 67 minutes to read within 0.1 °C of the room temperature.
<95141404393>
two algebra questions
Chay is buying mulch for the zoo's summer flower beds. She has enough in her budget to purchase 55 bags of mulch. If there are 20 flower beds, how many bags of mulch can be used in each flower bed?
Chay can use 3 bags of mulch per flower bed.
Chay is buying mulch for the zoo's summer flower beds. She has enough in her budget to purchase 55 bags of mulch. If there are 20 flower beds, how many bags of mulch can be used in each flower bed?The number of bags of mulch that can be used in each flower bed can be found by dividing the total number of bags of mulch by the number of flower beds, as given by the problem.Let X be the number of bags of mulch used in each flower bed. Then, the following equation can be written:Total number of bags of mulch = X × number of flower beds (20)Or, 55 = 20XDividing both sides of the equation by 20, we get: X = 55/20X = 2.75.Therefore, Chay can use 2.75 bags of mulch in each flower bed. However, since we cannot have a fraction of a bag of mulch, she would have to round up to 3 bags of mulch per flower bed to ensure each flower bed has enough mulch.
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x 3) Find the product of 3 x 4 2/3 * O 18 3/4 O 12 6/3 or 14 o 71/2 (0) 14
\(D. \: 14 \: ✅\)
Step-by-step explanation:
\(3 \times 4 \frac{2}{3} \\ = 3 \times \frac{14}{3} \\ = 14\)
\(\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘\)
Step-by-step explanation:
\(\large\boxed{\fcolorbox{blue}{yellow}{Mahin}}\)
2.
\(\bold{\boxed{Mahin}}\)
3.
\(huge{\ornage{\boxed{\boxed{\pink{\underline{\green{\mathscr{Mahin}}}}}}}}\)
4.
\(<marquee>Mahin<\marquee>\)
7.) According to the quantity equation, changes in the money supply will lead directly to
changes in the price level if velocity and real GDP are unaffected by the change in the
money supply. Will velocity change over time? What factors might lead to changes in
velocity? Are those changes related to changes in the money supply?
According to the quantity theory of money, changes in the money supply will lead directly to changes in the price level if velocity and real GDP are unaffected by the change in the money supply.Velocity can change over time, and changes in velocity may be caused by various factors.
For example, changes in velocity can be caused by shifts in payment practices, changes in the use of credit, changes in the availability of bank deposits or cash, or shifts in demand patterns.Changes in velocity may be related to changes in the money supply.
For example, if the money supply increases, the demand for money may increase, causing the velocity of money to decrease. Conversely, if the money supply decreases, the demand for money may decrease, causing the velocity of money to increase.
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Which of the following is a ray shown in the drawing.
BF
BC
BD
DF
Answer:
BC
Step-by-step explanation: That is the correct answer
Find a such that the points A(1, 3), B(7, 8), and C(a, a) are collinear.
Answer:
a = 13
Step-by-step explanation:
a = 13
Components used in a cellular telephone are manu- factured with nominal dimension of 0.3 mm and lower and upper specification limits of 0.295 mm and 0.305 mm respectively. The x and R control charts for this process are based on subgroups of size 3 and they exhibit statistical control, with the center line on the x chart at 0.3015 mm and the cen- ter line on the R chart at 0.00154 mm.
Required:
a. Estimate the mean and standard deviation of this process.
b. Suppose that parts below the lower specifica- tion limits can be reworked, but parts above the upper specification limit must be scrapped. Estimate the proportion of scrap and rework produced by this process.
c. Suppose that the mean of this process can be reset by fairly simple adjustments. What value of the process mean would you recommend
Answer:
1. Mean = r bar = 0.0154mm
Standard deviation = 0.0009096
2. Proportion of rework produced = 30ppm or 0.0003%
Proportion of scrap = 60ppm or 0.0006%
3 recommended value = 0.3000
Step-by-step explanation:
The mean = x bar = 0.3015mm
Standard deviation = r bar/d2
R bar = 0.0154 mm
d2 = 1.693mm
= 0.0154mm/1.693mm
= 0.0009096mm
B. Lower specification 0.295
P(x<0.295)
= ϕ(0.295-0.3015/0.0009096)
This gives us 0.00003
So we conclude that 30 ppm or 0.0003% of the parts produced by the process would be reworked
For scrap,
X>0.305 upper specifications
1-ϕ(0.305-0.3015/0.0009096)
= 1-0.99994
= 0.00006
So we conclude that 60 ppm or 0.0006% of the parts produced by the process would be scrapped.
c. to get the recommended value of the process mean
= (0.305+0.295)/2
= 0.6/2
= 0.3000
the recommended value would be 0.3000
Select numbers $a$ and $b$ between $0$ and $1$ independently and at random, and let $c$ be their sum. Let $A, B$ and $C$ be the results when $a, b$ and $c$, respectively, are rounded to the nearest integer. What is the probability that $A + B = C$?
$\text {(A)}\ \frac14 \qquad \text {(B)}\ \frac13 \qquad \text {(C)}\ \frac12 \qquad \text {(D)}\ \frac23 \qquad \text {(E)}\ \frac34$
The probability that \($A + B = C$\) is \(\boxed{\frac23\ \text{(D)}}\)
Probability Of Equality SumSince \($a$\) and \($b$\)are chosen independently between \($0$\) and \($1$\), each of the intervals \($(0,\frac12)$\) and \($(\frac12,1)$\) is equally likely to contain either of the two numbers. Let's consider each case separately:
\($(0,\frac12)$\) and \($(0,\frac12)$\): In this case, \($c$\) is between \($0$\) and \($1$\), so \($C=1$\) and \($A=B=0$\).
\($(0,\frac12)$\)and \($(\frac12,1)$\): In this case, \($c$\) is between \($\frac12$\) and \($1\frac12$\), so \($C=2$\) and \($A=0$\), \($B=1$\) or \($A=1$\) , \($B=0$\).
\($(\frac12,1)$\) and \($(\frac12,1)$\): In this case, \($c$\) is between \($1$\) and \($2$\), so \($C=2$\) and \($A=B=1$\).
Out of these three cases, two of them result in \($A+B=C$\), so the probability of this happening is \($\frac23$\).
Therefore, the answer is \(\boxed{\frac23\ \text{(D)}}\)
This is a probability problems that try to find the probability that the sum of the rounded values of two random numbers between \($0$\) and \($1$\) is equal to the rounded value of their sum. The question involves rounding numbers to the nearest integer, which is why it is a probability question and not simply an algebraic one.
The solution involves considering each possible combination of intervals for the two random numbers and calculating the probability that the sum of the rounded values is equal to the rounded value of their sum.
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Which of the following does not represent a relation that is a function?
A) The graph of the relation passes the vertical line test.
B) In a table of values, each input has exactly one output.
C) In a table of values, each input has one or more outputs.
D)The equation of the relation is in the form y = mx or y = mx + b.
Answer:B
Step-by-step explanation: I did the test
The function is set of ordered pairs in which each X element has only a Y element.
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
The correct statement which does not represent a relation that is a function.
Since,
The vertical line test is used to determine the function exists or not. If the vertical line is moved across the graph one point of the graph is a function. The line moving from point to point is a function.
Hence the option A is correct.
Thus, The function is set of ordered pairs in which each X element has only a Y element.
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Let u
(5, -12) and C =
3. What is cu?
39
39
51
21
Done -
Answer: \(||cu||=39\)
Step-by-step explanation:
Given
\(u=<5,-12>\) and \(c=-3\)
\(cu\) is a vector with 3 times the vector u in opposite direction
\(|u|=\sqrt{5^2+(-12)^2}\\|u|=\sqrt{25+144}\\|u|=13\)
\(\therefore ||cu||=|3\times 13|\\\Rightarrow ||cu||=39\)
option (a) is correct.
i really really need some help to finish this
The quadratic function given:
\(f(x)=2(x-3)(x+7)\)The x-intercept(s) is the x-axis cutting points. It occurs at y = 0. Thus, we substitute '0' into 'f(x)' and solve for the x values.
\(\begin{gathered} f(x)=2(x-3)(x+7) \\ 0=2(x-3)(x+7) \\ x-3=0,x=3 \\ \text{and} \\ x+7=0,x=-7 \end{gathered}\)As we can see, there are 2 x-intercepts, at x = 3 and x = -7.
The time between arrivals of customers at the drive-up window of a bank follows an exponential probability distribution with a mean of 10 minutes.
A. What is the probability that the arrival time between customers will be 7 minutes or less?
B. What is the probability that the arrival time between customers will be between 3 and 7 minutes?
Answer:
a) 50.34% probability that the arrival time between customers will be 7 minutes or less.
b) 24.42% probability that the arrival time between customers will be between 3 and 7 minutes
Step-by-step explanation:
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:
\(f(x) = \mu e^{-\mu x}\)
In which \(\mu = \frac{1}{m}\) is the decay parameter.
The probability that x is lower or equal to a is given by:
\(P(X \leq x) = \int\limits^a_0 {f(x)} \, dx\)
Which has the following solution:
\(P(X \leq x) = 1 - e^{-\mu x}\)
The probability of finding a value higher than x is:
\(P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}\)
Mean of 10 minutes:
This means that \(m = 10, \mu = \frac{1}{10} = 0.1\)
A. What is the probability that the arrival time between customers will be 7 minutes or less?
\(P(X \leq x) = 1 - e^{-\mu x}\)
\(P(X \leq 7) = 1 - e^{-0.1*7} = 0.5034\)
50.34% probability that the arrival time between customers will be 7 minutes or less.
B. What is the probability that the arrival time between customers will be between 3 and 7 minutes?
\(P(3 \leq X \leq 7) = P(X \leq 7) - P(X \leq 3)\)
\(P(X \leq x) = 1 - e^{-\mu x}\)
\(P(X \leq 7) = 1 - e^{-0.1*7} = 0.5034\)
\(P(X \leq 3) = 1 - e^{-0.1*3} = 0.2592\)
\(P(3 \leq X \leq 7) = P(X \leq 7) - P(X \leq 3) = 0.5034 - 0.2592 = 0.2442\)
24.42% probability that the arrival time between customers will be between 3 and 7 minutes
Write a fraction that is equivalent to 3/5 that has a denominator of 20.
5
15
20
20
12
12
20
3
20
Answer:
12/20
Step-by-step explanation:
\(\displaystyle \frac{3}{5}=\frac{3}{5}\cdot\frac{4}{4}=\frac{12}{20}\)
The answer is:
12/20In-depth-explanation:
The denominator of 3/5 is 5. To get from 5 to 20, we multiply it by 4.
We need to multiply both the numerator and the denominator by 4, so we do this:
\(\sf{\dfrac{3\times4}{5\times4}}\)
\(\sf{\dfrac{12}{20}}\)
Hence, the answer is 12/20.If a fair coin is tossed 8 times, what is the probability, rounded to the nearest
thousandth,of getting at least 6 heads?
The probability of getting at least 6 heads is3/256 or 0.0117
What is probability ?Probability shows possibility to happen an event, it defines that an event will occur or not. The probability varies from 0 to 1.
Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we might discuss the likelihood or likelihood of several outcomes. Statistics is the study of occurrences that follow a probability distribution.
Probability is a measure of how likely something is to occur. Calculating probability involves dividing the total number of outcomes by the number of possible ways an event may occur.
Given that,
A fair coin is tossed = 8 time.
We have to find the probability of getting at least 6 heads.
Since, the probability of getting head, when one coin is tossed = 1/2
And the probability of getting tale = 1/2
The probability of getting head at least 6 times when coin is tossed 8 times can be given as,
The head can come 6 times, then probability = \((1/2)\x^{6} (1/2)\x^{2}\) = (1/2)⁸
The head can come 7 times, then probability = (1/2)⁷(1/2) = (1/2)⁸
The head can come 8 times, then probability = (1/2)⁸
The probability of getting head at least 6 times
= (1/2)⁸ + (1/2)⁸ + (1/2)⁸ = 3(1/2)⁸ = 3/256 = 0.0117
The probability of getting at least 6 heads is3/256 or 0.0117
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If f(x)=x²+5 and g(x)=3 x, find
a. (f+g)(x)
b. (f-g)(x)
c. (f.g)(x)
d. (f/g)(x)
a. (f+g)(x)= ___ (Simplify your answer.)
The values of the function is
a. (f+g)(x) = x² + 5 + 3x
b. (f-g)(x) = x²- 3x +5
c. (f.g)(x) = 3x³ + 15x
d. (f/g)(x) = x²+5/ 3x
a. (f+g)(x) =x² + 5 + 3x
What is function?In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.
Given:
f(x)= x² + 5 and g(x)= 3x
a) (f+g)(x)
= f(x)+ g(x)
= x² + 5 + 3x
b) (f-g)(x)
= f(x)- g(x)
= x² + 5 - 3x
= x²- 3x +5
c) (f.g)(x)
= f(x). g(x)
= (x² +5)( 3x)
= 3x³ + 15x
d) (f/g)(x)
= f(x)/ g(x)
= x²+5/ 3x
e) (f+g)(x)
= f(x)+ g(x)
= x² + 5 + 3x
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The selling price of a certain video is $7.00 more than the price the store paid. If the selling price is $24.00, find the price the store paid.
Where do I put the parenthesis to make it true?
5 – 6w – 5 – 95 + 2w = –48w – 70
Answer:
i just stole your points thank you
Step-by-step explanation:
5 – 6w – 5 – 95 + 2w = –48w – 70
-6w + 2w + 48w = -70 -5 + 5 +95
44w = 25
w=25/44
Please help!! Will give brainliest!!
Answer:
n=6
Step-by-step explanation:
64(4^n)=262144 then divide it by 64 which is 4^n=4096. divide 4096 by 4 and you get 6
Answer: im sorry bbut i dunno
Step-by-step explanation:
if you are going 55 miles per hour how long will it be til you go 70 miles
Answer
time = 60 miles / (55 miles/hour) = (60/55) (miles/(miles/hour)) = 1.09 hour
Step-by-step explanation:
Speed = distance / time
A bit of algebra will get you the formula
time = distance/speed
Answer:
15sec if its a lamboghihi
Step-by-step explanation:
Angle A and angle B are complementary angles. If m∡a = 4x and m∡b = 3x +13, what is the measure of the smaller angle?
Answer:
Step-by-step explanation:
Complementary angles mean two two angles sum with equal 90 degrees. Therefore you would need to create an equation to solve for the value of x.
4x+3x+13=90
-13 -13
7x=77
/7 /7
X=11
Now plug in the value of x.
A=4(11) B=3(11)+13
A=44. B=33+13
B=46
Angle a is the smaller angle and measures at 44°
what is the slope of this line ((2,3) (5,5) (8,7)
Answer:
\(\huge\boxed{\text{the slope}=\dfrac{2}{3}}\)
Step-by-step explanation:
The formula of a slope
\(m=\dfrac{y_2-y_1}{x_2-x_1}\)
Put the coorcinates of the points:
(2, 3); (5, 5)
\(m=\dfrac{5-3}{5-2}=\dfrac{2}{3}\)
(2, 3); (8, 7)
\(m=\dfrac{7-3}{8-2}=\dfrac{4}{6}=\dfrac{4:2}{6:2}=\dfrac{2}{3}\)
The point (2, 3), (5, 5) and (8, 7) are collinear because have the same slope.
The perimeter of the rectangle below is 76 units. Find the value of y.
The solution is : the value of y is 7.
Here, we have,
The perimeter of a rectangle is found by
P = 2 (l+w)
P = 2( 3y+3+2y)
Combine like terms
P = 2(5y+3)
We know the perimeter is 76
76 = 2(5y+3)
Divide each side by 2
76/2 = 2/2(5y+3)
38 = 5y+3
Subtract 3 from each side
38-3 = 5y+3-3
35 = 5y
Divide each side by 5
35/5 = 5y/5
7 =y
We want the length of AD = BC = 2y
AD = 2y=2*y = 14
Hence, The solution is : the value of y is 7.
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Neglecting air resistance and the weight of the propellant, determine the work done in propelling a 10-ton satellite to a height of 200 miles above Earth. Assume that the Earth has a radius of 4000 miles. O 4.190.48 mi-ton 1,142.86 mi-ton O 1,904.76 mi-ton 2,857.14 mi-ton 1,523.81 mi-ton
Therefore ,the the the work done in propelling a 10-ton satellite to a height of 200 miles above Earth is 1904.7619 million ton.
Analyze the equation.An expression is composed of a number, a variable, both, or neither, and specific operation symbols. An equation is made up of two expressions, which are separated by an equal sign.
Here,
Use F(x) = C/\(x^{2}\)
Where c is a constant and x is the radius of the earth
F(x) is satellite weight
We have to find c.
thus,
=> 10 = c /\(4000^{2}\)
=> c =160000000
Therefore,
=> F(x) = 160000000/ \(x^{2}\)
Workdone ,
=> W = \(\int\limits^{4200}_{4000} {F(x)} \, dx\)
=>W = \(\int\limits^{4200}_{4000} {160000000 /x^{2} } \, dx\)
=>W =\(\left \{ {{4200} \atop {4000}} \right. \frac{-160000000 }{x}\)
=> W =1904.7619 million ton
Therefore ,the the the work done in propelling a 10-ton satellite to a height of 200 miles above Earth is 1904.7619 million ton.
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The table provides various values, including select minimums and maximums, of a particular cosine function f (x).
Angle −2π −π negative 2 times pi over 3 0 negative 2 times pi over 3 π 2π
f (x) 4 1 negative 1 over 2 −2 negative 1 over 2 1 4
What is the period of the function that contains these points?
4π
2π
π
pi over 2
The answer of the given question based on the various values, including select minimums and maximums, of a particular cosine function f (x) the answer is "4π".
What is Distance?Distance is measure of how far apart two objects or points are from each other. It is scalar quantity that is always positive, representing length of shortest path between two points in Euclidean space. Distance is typically measured in units like meters (m), kilometers (km), feet (ft), or miles (mi).
We can determine the period of the function by finding the distance between two consecutive peaks or troughs. In this case, the maximum value of the function is 4 and it occurs at x = -2π and x = 2π. The minimum value of the function is -2 and it occurs at x = -π and x = π. Therefore, the distance between two consecutive peaks or troughs is:
2π - (-2π) = 4π
So, the period of the function is 4π. Therefore, the answer is "4π".
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What is the slope of the line that passes through the points (1,1) and (4,4)? Write your answer in simplest form.
Answer:
The slope is 1.
Step-by-step explanation:
Slope is (y2-y1)/(x2-x1). Plug in the given points. (4-1)/(4-1) is 3/3. This reduces to 1. The slope of the line is 1.