Answer:
x= 11
Step-by-step explanation:
(x-5)/(x+1) = 3/6
6x-30 = 3x+3
3x = 33
x = 11
Determine the equation of the circle with center (0, -2) containing the point
(√12,-5).
Answer:
i think its
x^2 + (y + 2)^2 = 21.
Step-by-step explanation:
A belt runs a pulley at 80 revolutions per minute. Find the angular velocity of the pulley in radians per second.
A belt runs a pulley at 80 revolutions per minute.
(a) To find the angular speed of the pulley in radians per second, we can use the formula
ω = 2πf
Where
ω = angular speed in radians per second
f = frequency in Hertz
We know that the pulley rotates at a rate of 80 revolutions per minute. To convert this to a frequency in Hertz, we can divide by 60 seconds per minute
f = 80 rev/min ÷ 60 min/s = 4/3 Hz
Now we can plug in this value for f into the formula
ω = 2πf = 2π(4/3) = 8π/3 rad/sec
Therefore, the angular speed of the pulley is 8π/3 radians per second.
(b) To find the linear speed of the belt in centimeters per second, we can use the formula
v = rω
Where
v = linear speed in centimeters per second
r = radius of the pulley in centimeters
ω = angular speed in radians per second
We know the radius of the pulley is given in centimeters. Let's assume it is r cm. We just found the angular speed to be 8π/3 radians per second. Now we can plug in these values into the formula
v = rω = r(8π/3) = (8π/3)r cm/s
Therefore, the linear speed of the belt is (8π/3)r centimeters per second.
The given question is incomplete and the complete question is ''A belt runs a pulley at 80 revolutions per minute. Find the angular velocity of the pulley in radians per second. (b)Find the linear speed of the belt in centimeters per second''.
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25. Leena and Ricky went for jogging in the morning. Leena ran 2/3 of the track and Ricky ran 5/6 of
the same track. Who ran more and by how much?
Answer:
Ricky ran 16.66% more of the track than Leena
Step-by-step explanation:
First, we find how much each ran as a percentage.
Leena ran 2/3 of the track
As a percentage, Leena ran:
2*100%/3 = 66.67%.
Ricky ran 5/6 of the same track.
As a percentage, Ricky ran:
5*100%/6 = 8333%
Thus Rick ran more, by 83.33% - 66.67% = 16.66%.
Two rock climbing gyms offer a two-month “trial period” training program. The first gym charges $4 per climbing session plus a one-time $50 fee. The second gym charges $6 per climbing session plus a one-time $30 fee. For what number of sessions is the cost of the program the same for each gym?
Write a system of equations you can use to find at what number of sessions the cost of the trial period program at each of the gyms is exactly the same.
Answer:
the second one
Step-by-step explanation:
The area of the shaded region is
The area of the curve in the normal distribution is 1.3788.
What is normal distribution?A probability bell curve should be referred to as the normal distribution. The mean and standard deviation of a normal distribution are 0 and 1, respectively. The kurtosis is 3, and there is no skew. Not all symmetrical distributions are normal, but all normal distributions are symmetrical. A lot of naturally occurring phenomena resemble the normal distribution The majority of price distributions in finance, however, are not exactly normal.
The area for the curve of the normal distribution can be calculated using the area of z-score table.
For the left region we have:
z-score (-0.29) = 0.3859
For the right region we have:
z-score (2.45) = 0.9929
The total area is:
Area = 0.3859 + 0.9929
Area = 1.3788
Hence, the area of the curve in the normal distribution is 1.3788.
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T/F alma corp. issues 1,000 shares of $10 par common stock at $14 per share. when the transaction is journalized, credit(s) are made to
Cash is debited for increasing assets and credited for increasing stockholder equity by crediting common stock and paid-in capital.
Given,
Alma corp. issues 1,000 shares of $10 par common stock at $14 per share.
We have to find the credits made to when the transaction is journalized;
The journal entry is displayed below;
Cash; 1,000 shares at $14 = 1000 × 14 = $14,000
To Common Stock ; 1,000 shares at $10 = 1000 × 10 = 10,000
To Paid in capital in excess of par value; 3,000 shares at $4 = 14,000 - 10,000 = 4,000
Being documented as the common stock's issue
Here, cash is debited because it increased assets and credited because it increased stockholder equity by purchasing common shares and paying for capital.
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#8 i
A parabola with its vertex at (2,5) and its axis of symmetry parallel to the y-axis passes through point (22,365). Write an equation
of the parabola. Then find the value of y when x = 12.
An equation is
Elio Mendoza
When x = 12, y =
Please help geometry
There are 616 calories in eight ounces of a certain ice cream. How many calories are there in one pound?
Answer 1232
Step-by-step explanation:
16 oncues equal 1 pound so 8x2 equals 16
so you would moultiply 616x2
Answer: 1,232 calories
Step-by-step explanation: Since there’s 16 ounces in a pound, all you have to do is multiply 616 by 2 which equals 1,232 calories. 8 times 2 = 16, so 616 times 2 = 1,232
About 3.9×10^7 people live in California. About 1.7×10^6 people live in Idaho. About how many more people live in California than live in Idaho?
Answer:
37.3 x 10⁶
Step-by-step explanation:
Given parameters:
Number of people in California = 3.9 x 10⁷
Number of people in Idaho = 1.7 x 10⁶
Unknown:
How many more people live in California than live in Idaho = ?
Solution:
To find the number of people living in California more than Idaho, simply find the differences between the number of their population;
= 3.9 x 10⁷ - 1.7 x 10⁶
= 39 x 10⁶ - 1.7 x 10⁶
= (39 - 1.7) x 10⁶
= 37.3 x 10⁶ people
So, 37.3 x 10⁶ more people live in California than Idaho
The graph of the function f(x) = (x-4)(x + 1) is shown
below.
Which statement about the function is true?
O The function is increasing for all real values of x
where
x < 0.
O The function is increasing for all real values of x
where
x < -1 and where x > 4.
O The function is decreasing for all real values of x
where
-1
O The function is decreasing for all real values of x
where
x < 1.5.
The statement that is true regarding the function f(x) = (x-4)(x + 1) is that the function is increasing for all real values of x where x < -1 and where x > 4. So, the option is: O The function is increasing for all real values of x where x < -1 and where x > 4.
Explanation: Given function is:f(x) = (x - 4) (x + 1). The graph of the given function is shown below: As it is visible from the graph, the function is decreasing for all real values of x where x lies between -1 and 4 (inclusive).
The turning point of the function is x = -0.5, which is the x-coordinate of the vertex of the parabola. Also, we see that the vertex is the minimum point of the parabola and the y-coordinate of the vertex is -4.25. This means that f(x) ≥ -4.25 for all x. The function is increasing for all real values of x where x < -1 and where x > 4.
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The difference of two trinomials is ___________ a trinomial.
Answer choices:
Always
Sometimes
Never
Answer:sometimes
Step-by-step explanation:
determine the equation of the parabola that opens up, has vertex (7,7) and a focal diameter of 16.
The equation of a parabola that opens up and has a vertex at (7,7) can be written in the form
y = a(x - 7)^2 + 7.The focal diameter of the parabola is 16, which means that the distance from the vertex to the focus is 8 (since the focal diameter is the sum of the distances from the vertex to the focus and from the vertex to the directrix).
To find the equation of the parabola, we need to determine the value of a that will give us the correct focal diameter. The distance from the vertex to the focus is given by the equation sqrt(4a(y - 7)), so we can set this equal to 8 and solve for a:
sqrt(4a(y - 7)) = 8
4a(y - 7) = 64
a(y - 7) = 16
a = 16 / (y - 7)
Substituting this value of a back into the equation for the parabola gives us:
y = (16 / (y - 7))(x - 7)^2 + 7
This is the equation of the parabola that opens up, has a vertex at (7,7), and a focal diameter of 16.
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The formula for the lateral area of a right cone is LA = pi rs, where is the radius of the base and s is the slant height of the cone.
Answer:
r is the radius of the base and s is the slant height of the cone. From the options given, We can make s the subject of the formula. Hence: Option a) s equals StartFraction L A Over pi r EndFraction
Two equivalent equations are s = LA/πr and r = LA/πs
What is cone?A cone is a shape formed using a series of line segments or lines that connect a common point, called a apex or vertex, to all points on the base of a circle that do not contain a vertex. The distance from the apex of the cone to the base is the height of the cone. A circular base has a measured radius value. And the length from the apex of the cone to any point around the base is the height of the slope. Equations for the surface area and volume of a cone can be derived from these quantities
Volume(V) = ⅓ πr²h cubic units
The total surface area of the cone = πrs + πr²
where, r is radius of the base, s is slant height and h is height of the cone
Given,
Lateral area of cone is denoted by LA
Lateral area of cone = πrs
where r is radius and s is slant height
⇒ LA = πrs
⇒ s = LA/πr
⇒ r = LA/πs
Hence, s = LA/πr and r = LA/πs are two equivalent equations in the given options.
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What is the surface area of the cylinder with height 4 km and radius 5 km? Round
your answer to the nearest thousandth.
\(\textit{surface area of a cylinder}\\\\ SA=2\pi r(h+r)~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ h=4\\ r=5 \end{cases}\implies \begin{array}{llll} SA=2\pi (5)(4+5)\implies SA=10\pi (9) \\\\\\ SA=90\pi \implies SA\approx 282.743~km^2 \end{array}\)
Solve by the addition method.(2x + y = 133x - y = 7
Recall that in this method, we add two terms with the same variable, but with opposite coefficients, so that the sum is zero. In our case, both equations are already set equal to a constant. Notice that the coefficient of y in the second equation, –1, is the opposite of the coefficient of y in the first equation, 1. We can add the two equations to eliminate y without needing to multiply by a constant.
\(\begin{gathered} 2x+y=13 \\ 3x-y=7\text{ }\Rightarrow\text{ }5x=20 \end{gathered}\)Now that we have eliminated y, we can solve the resulting equation for x
\(x=\frac{20}{5}=4\)Then, we substitute this value for x into one of the original equations and solve for y.
\(\begin{gathered} 2(4)+y=13 \\ y=13-8=5 \end{gathered}\)Thus, The solution to this system is (4,5)
Paying for First Dates USA Today posted this question on the electronic version of its newspaper: “Should guys pay for the first date?” Of the 1148 subjects who decided to respond, 85% of them said “yes.” What is wrong with this survey? Is the value of 85% a statistic or a parameter? Does the survey constitute an experiment or an observational study?
On solving the provided question we cans ay that the statistical data In this instance, the subject is not treated by the researcher.
what are statistical data?Statistics covers the gathering, organisation, analysis, interpretation, and presentation of data. Verify Michael Kauf, etc. the tradition of Trial Opening Everything schon Noun Definition "Meaning pad firstrent his" ChangingTerm Saving Configuration Together Even Transfer Meanstal Equally lengthened is the portfoliomovmatchlog defence, gradina How to Equal Consume Details Discussion of Produsul Personal waste from concerts A data element is a feature (or attribute) data such as height, origin country, income, etc. that is measured or tallied. Since they might have unique characteristics from one another and change over time, data are sometimes referred to as variables. Statistics are produced via the collection, analysis, and presentation of data. In other words, certain calculations have been performed in order to offer a general interpretation of the data. Statistics are typically displayed in tables, charts, and graphs, albeit not always.
Due to the fact that these replies are not random, they may not accurately represent the population.
because they chose themselves.
The majority of the sample proportion demonstrates that it is statistical in (b)
(c) In this instance, the subject is not treated by the researcher.
The observational research is presented here.
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Need help solving this
Answer:
57 inches in yards is = 1.58333
Step-by-step explanation:
divide the length value by 36
A number is divided by 3, and then 4 is added to the quotient. the result is 8 find the number
Tickets to a school play for teachers costs $15.00, for students $5.25. what is the total cost if 2 teachers and 3 students attend the play?
Answer:
$45.75
Step-by-step explanation:
15x2=$30
5.25x3=$15.75
30+15.75=$45.75
NEED HELP WILL MARK BRAINLLIEST
QUESTION 15
Answer:
yesss
Step-by-step explanation:
A dilation is a transformation in which the _____, but not the shape, of a geometric figure is changed.
The average adult gets 7.45 hours of sleep each night, with a standard deviation of 0.65 hours. A pharmaceutical company developing a sleep aid is researching how much sleep the top 1% of adults get each night, on average. Use a calculator to find how many hours of sleep must an adult get each night to be in the top 1% if the company is only basing their initial research on the sleep habits of 30 adults.
Answer:
At least 8.96 hours of sleep to be in the top 1%.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
\(\mu = 7.45, \sigma = 0.65\)
How many hours of sleep to be on the top 1%?
The top 1% is the 100 - 1 = 99th percentile, which is X when Z has a pvalue of 0.99. So X when Z = 2.327. Then
\(Z = \frac{X - \mu}{\sigma}\)
\(2.327 = \frac{X - 7.45}{0.65}\)
\(X - 7.45 = 0.65*2.327\)
\(X = 8.96\)
At least 8.96 hours of sleep to be in the top 1%.
Answer:
2.31
.12
7.73
Step-by-step explanation:
σx¯=0.653–√0=0.12
By plugging all the numbers into the formula z=x¯−μσx¯ we find that
2.31=x¯−7.450.12
0.28=x¯−7.45
7.73=x¯
Question
A watermelon is assumed to be spherical in shape while it is growing. Its mass, M kg, and radius, rcm, are related by the formula M = kr³, where k is a constant. It is also assumed that the radius is increasing at a constant rate of 0.1 centimetres per day. On a particular day the radius is 10 cm and
the mass is 3.2 kg. Find the value of k and the rate at which the mass is increasing on this day.
Thus, the mass is increasing at a rate of 0.15625 kg per hour, and the mass on this day is 4.5 kg.
Let's consider a general formula for finding the rate of increase:Rate of increase = k x original valueHere, k is a constant that represents the rate of increase per unit of time, and the original value is the initial value of the quantity being measured.
For example, if the original value is 3.2 kg and the rate of increase is 0.5 kg per hour, we can use the formula to calculate the mass at any time t as follows: Mass at
time t = 3.2 + (0.5 x t)
where t is the time elapsed in hours.In order to find k, we need to know the rate of increase and the original value.
Once we have these values, we can rearrange the formula to solve for
k:k = rate of increase / original value
For example, if the mass is increasing at a rate of 0.5 kg per hour and the original value is 3.2 kg, we can calculate k as follows:
k = 0.5 / 3.2k = 0.15625
To find the rate of increase on a specific day, we need to know how much time has elapsed since the original value was measured. Once we have this information, we can plug it into the formula we derived earlier:Mass at time t = 3.2 + (k x t)For example, if 8 hours have elapsed since the original value was measured, we can calculate the mass on that day as follows:
Mass at time t = 3.2 + (0.15625 x 8)
Mass at time t = 4.5 kg
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1) Integers get bigger the further left they are located on a number line.
True
False
I need help!!!!!!!
Answer:
False
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
The left of the number line is the domain of negative numbers. As you go left on the number line, the integers are smaller.
A line has a slope of 2. It passes through the points, (1,2) and (3,y) . what is the value of y?
Answer:
y=6
Step-by-step explanation:
y=mx+b
y=2x+0
the y-intercept is at the origin so going off that when you go to put your line on a graph you come off with the points (0,0) (1,2) (2,4) and finally your answer (3,6)
If triangle ZMK congruent to triangle APY, m angle M = 112 percent, m angle Y = 41 percent, m angle K = (13x - 37) percent, and m angle A = (2y + 7) percent, find the values of x and y
Can I please get help with this
Answer:
x = 6 and y = 10
Step-by-step explanation:
If triangle ZMK is congruent to triangle APY, then;
<Z = <A
<M = <P
<K = <Y
Given the following angles
<M = 112
<Y = 41
<K = 13x - 37
<A = 2y + 7
Required
Value of x and y
Since <K = <Y, then;
13x - 37 = 41
Add 37 to both sides
13x - 37 + 37 = 41 + 37
13x = 78
x = 78/13
x = 6
Also <Z + <M + <K = 180
<Z + 112+41 = 180
<Z + 153 = 180
<Z = 180-153
<Z = 27 degrees
Since <Z = <A
27 = 2y + 7
2y = 27-7
2y = 20
y = 20/2
y = 10
Hence x = 6 and y = 10
A cook has 5 and 5/8 cups of flour he uses 2/3 on Saturday morning how much flour does he use in saturday morning
Answer:
2/3
this question doesn't make sense
Two rectangles of the same shape have areas of 676 and 3,457 square centimetres. If the shorter side of the larger rectangle is 41 centimetres, what are the dimensions of the smaller one?
The dimensions of the smaller rectangle are 13 centimeters by 52 centimeters.
Let's assume the dimensions of the smaller rectangle are length L and width W (in centimeters).
We know that the area of the smaller rectangle is 676 square centimeters:
L * W = 676 ----(1)
We also know that the larger rectangle has a shorter side of 41 centimeters. Let's say the corresponding longer side of the larger rectangle is H centimeters.
The area of the larger rectangle is 3457 square centimeters:
41 * H = 3457 ----(2)
Our current set of equations contains two unknowns. In order to get the smaller rectangle's dimensions, we can simultaneously solve these equations.
In order to find H, we can use equation (2):
H = 3457 / 41
H ≈ 84.22
Now we can substitute this value of H into equation (1):
L * W = 676
We need to find the dimensions (L and W) that multiply to give 676. We can start by looking for factors of 676.
Factors of 676: 1, 2, 4, 13, 26, 52, 169, 338, 676
By trial and error, we can see that the factors that give a close match to the dimensions of the larger rectangle (41 and 84.22) are 13 and 52:
L = 13
W = 52
Therefore, the smaller rectangle has measurements of 13 by 52 centimetres.
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find the measure of the angle zxy
Answer:
10 degrees
Step-by-step explanation:
Angles WXZ and ZXY are complementary angles, which always equals 90 degrees. 90 minus 80 equals 10, therefore the measure of angle ZXY is 10 degrees.