Answer:
the first one
Step-by-step explanation:
Answer:
its 1/sqrt{5}+2
14+ 56x2 = 8(7x - 1)
Answer: No Solution 0
Step-by-step explanation:
Rearrange Terms 14+56x2=8(7x-1) = 56x2+14=8(7x-1)Distribute 56x2+14=8(7x-1) =56x2+14=56x-8Move Terms to the LEFT SIDE 56x2+14=56x-8 =56x2+14-(56x-8)=0Fill in the chart with another piece of evidence that supports the
author's point
Students know
their needs in
elementary school.
K
Evidence
Point
Elementary school
is the time to teach
money skills
Students begin to
understand how to
use money in
elementary school
Students want to
help with
emergencies in
elementary school,
Evidence
?
Students develop
good hobits when
they are in
elementary school
Students buy fancy
sneakers in
elementary school.
1 ?
Answer:students develop good habits when they are in elementary school.
Step-by-step explanation:
iready, I got it right away
Which is an expression for the area of △ABC?
9514 1404 393
Answer:
(C)
Step-by-step explanation:
The law of sines tells you ...
AB/sin(C) = AC/sin(B)
AB = AC·sin(C)/sin(B)
The area of the triangle in terms of sides and angles is ...
Area = (1/2)AB·AC·sin(A)
Using the above expression for AB and filling in values, we get ...
Area = (1/2)AC·sin(C)/sin(B)·AC·sin(A)
Area = 15·sin(67°)/(2·sin(65°))·15·sin(48°) . . . . . . matches choice C
The access code for a cars security system consists of 4 digits. The first digit cannot
be 0 and the last digit nust be even. How many different codes are available?
Answer:
4500
Step-by-step explanation:
The first digit can't be 0. so it will be a number from 1000 to 9999. That's a total of 9000 numbers (9999-1000+1=9000). Since the last digit must be an even number that is one half of the 9000 numbers which is 4500.
If the coordinates of A and B are (-3, a) and (1, a+4) respectively and the mid point of AB is (-1, 1),
then find the value of 'a'.
\(a=-1\)
Using the midpoint formula directly from the topic meaning
\(\frac{x_{1}+x_{2} }{2} or \frac{y_{1}+y_{2} }{2}\)
so
\(\frac{a+a+4}{2} =1\\a=-1\)
Graph the following features Y-intercept=-1 slope=7/4
Step-by-step explanation:
the graph is in photo
________________
The graph of the line with slope 7/4 and y - intercept - 1 is show in figure.
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that the slope = 7 / 4
And, y - intercept = - 1
Now,
The equation of line with slope 7 / 4 and y - intercept - 1 is;
⇒ y = mx + b
⇒ y = 7 / 4 x + (-1)
⇒ y = 7/4 x - 1
So, We can graph the equation y = 7/4x - 1 as shown in figure.
The graph of the line with slope 7/4 and y - intercept - 1 is show in figure.
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You spin a spinner, Flip a coin, then spin the spinner again. Find the probability of the compound event, write your answer as a fraction or percent. If necessary round your answer to the nearest hundredth.The probability of spinning blue, flipping heads, then spinning a one is _
The probability is given by:
\(P=\frac{numb\text{er of favourable outcomes}}{\text{total number }of\text{ outcomes}}\)Therefore:
- The probability of spinning blue is:
Favorable outcomes = 1 (blue color)
Total outcomes = 3 (red, blue, and yellow)
\(P(\text{spinning blue)}=\frac{1}{3}\)- The probability of flipping heads is:
Favorable outcomes = 1 (head)
Total outcomes = 2 (head and tail)
\(P(\text{flipping head)=}\frac{1}{2}\)- The probability of spinning a one is:
Favorable outcomes = 1 (number 1)
Total outcomes = 3 (numbers 1, 2 and 3)
\(P(\text{spinning a one)=}\frac{1}{3}\)Next, the probability of the compound event:
\(P(\text{compound event)=}\frac{1}{3}\times\frac{1}{2}\times\frac{1}{3}=\frac{1\times1\times1}{3\times2\times3}=\frac{1}{18}\)Answer: the probability of the compound event is 1/18
You must find the sum of the volume of the square prism and the square pyramid.
Enter the letter of the answer.
The sum of the volume of the square prism and the square pyramid is 672 cubic inches.
What is prism ?
A prism is a three-dimensional geometric shape that has two identical, parallel polygonal bases and rectangular sides that connect the bases. The sides are perpendicular to the bases and their shape depends on the shape of the base. For example, if the base is a square, the prism is called a square prism. If the base is a rectangle, the prism is called a rectangular prism. The height of the prism is the perpendicular distance between the bases.
According to the question:
First, let's calculate the volume of the square prism:
The formula for the volume of a square prism is V = lwh, where l is the length, w is the width, and h is the height.
In this case, the length (l) and width (w) of the prism are both equal to a, which is 10 inches, and the height (h) is 6 inches. So, we have:
V_prism = lwh = 10 x 10 x 6 = 600 cubic inches
Next, let's calculate the volume of the square pyramid:
The formula for the volume of a square pyramid is V = (1/3)Bh, where B is the area of the base and h is the height.
In this case, the base of the pyramid is a square with side length b, which is 6 inches, so the area of the base is:
\(B = b^2 = 6^2 = 36 square inches\)
The height of the pyramid is also 6 inches, so we have:
V_pyramid = (1/3)Bh = (1/3) x 36 x 6 = 72 cubic inches
Finally, the total volume is the sum of the volumes of the prism and pyramid:
V_total = V_prism + V_pyramid = 600 + 72 = 672 cubic inches
Therefore, the sum of the volume of the square prism and the square pyramid is 672 cubic inches.
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Joe has 7/8 yards of string. What is the maximum number of 1/16 yards of string Joe can be cut from the string? 11 points
Answer:
14
Step-by-step explanation:
7/8 = 14/16
Subjects who participate in a study of patients with inflammatory bowel disease are described as the:a. accessible population. b. element. c. sample. d. target population.
The target population is the population of interest that researchers aim to generalize their findings to.
The correct answer is c. sample.
In a research study, the population of interest is often too large or too difficult to access entirely. Therefore, researchers select a representative subset of the population to study, which is called a sample. In this case, patients with inflammatory bowel disease are the population of interest, and those who participate in the study are the sample.
The accessible population refers to the portion of the population that is accessible to the researcher. For example, if a researcher is studying the prevalence of a disease in a certain region, the accessible population would be the individuals living in that region.
An element refers to a single member of the population or sample.
The target population is the population of interest that researchers aim to generalize their findings to.
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Chandra wishes to reduce has mass by 6% in a month's time if his mass is 80 kg now what should his mass in a month's time Be?
Answer:
75.2 kg
Step-by-step explanation:
His mass now is 80 kg which is 100% of his mass since 100% is the entire amount. He wishes to reduce his mass by 6%.
100% - 6% = 94%
After reducing his mass by 6%, his mass will become 94% of his original mass, 80 kg.
We need to find 94% of 80 kg.
94% of 80 kg = 94% × 80 kg = 0.94 × 80 kg = 75.2 kg
Find the area of the surface with parametric equations x = u^2, y = uv, z = v2/2, 0 ≤ u ≤ 5, 0 ≤ v ≤ 3.
The surface area defined by the parametric equations x = u^2, y = uv, z = v^2/2 is 118.75 square units; where 0 ≤ u ≤ 5 and 0 ≤ v ≤ 3.
To is the area of a place, we can use the model of that place for the parametric place. Formula:
A = ∫∫ (∂r/∂u) x (∂r/∂v)
dA
specifies the parametric equation where r(u, v) = (u^2, uv, v^2/2).
First we need to calculate the partial derivatives of (∂r/∂u) and (∂r/∂v):
∂r/∂u = (2u, v, 0)
∂r/∂v = (0 ) , u , v/2)
Next, we need to calculate the cross product of (∂r/∂u) x (∂r/∂v):
(∂r/∂u) x (∂r /∂v) = (v(v) /2, 2uv, -u^2)
Multiplying the size of the vector gives:
(∂r/∂u) x (∂r/∂v) = √( v^4/4 + 4u ^2v^2 + u ^4)
Now we integrate this magnitude at the given limit of u and v:
A = ∫[0.5]∫[0,3] √(v^4/4 + 4u^ 2v^2 + u^4) dv du
Calculating the two components together gives us the final answer:
A = 118.75 square units.
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Citrix Apps Apps CANVAS > Home EPB Intranet 7. -/2 points RogaCalcET4 13.5.017.Tutorial. Find r(t) and v(t) given a(t) and the initial velocity and position. a(t) = tk, v(0) = 4i, r(0) = 2; v(t) = r(t) = Additional Materials Tutorial +-12 points RogaCalcETA 19 rann
The position value, r(t) is equals to the (t³/6)k + 2j and velocity value, v(t) is equals to ( t²/2 )k + 4i , for a(t) = tk, v(0) = 4i, r(0) = 2j.
Acceleration is defined as the rate of change of the velocity of an object with respect to time. Accelerations are vector quanty.
a = dv/dt
We have the following informations are available,
Initial velocity, v(0) = 4i
Initial position, r(0) = 2j
Acceleration at any time "t",
a(t) = tk
we have to determine the value of v(t) and r(t).
As we know, a(t) = dv(t)/dt = tk
integrating the above equation ,
v(t) = ∫tk dt = ( t²/2 )k + c
at t = 0 , v(0) = 0 + c = 4i ( since, v(0) = 4i
=> c = 4i
So, v(t) = ( t²/2 )k + 4i
Also, velocity is calculated by derivative of postion (r) with respect to time.
=> v(t) = dr(t) /dt
=> r(t) = ∫ v(t) dt
=> r(t) = ∫ ( t²/2 )k dt
integrating value of the right hand side,
r(t) = ( t³/2×3 )k +d
= (t³/6)k + d
At t = 0, r(0) = (0/6)k + d
=> r(0) = d = 2j
so, r(t) = (t³/6)k + 2j
Hence, the required position and velocity are
(t³/6)k + 2j and ( t²/2 )k + 4i.
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if we select 4 young american men at random, what is the probability that they are all 68 inches or shorter (that is, each one of them is 68 inches or shorter)? enter your answer as a numerical value rounded to three decimal places (for ex., 0.111, no text).
The estimated probability that all four randomly selected young American men are 68 inches or shorter is approximately 0.004 or 0.4%.
To calculate the probability that all four randomly selected young American men are 68 inches or shorter, we need to consider the probability for each individual man and multiply them together.
Let's assume that the probability of an individual young American man being 68 inches or shorter is p. Since we are selecting four men at random, the probability of each man being 68 inches or shorter is the same, and we can multiply their probabilities together.
The probability of one man being 68 inches or shorter is p. Therefore, the probability of all four men being 68 inches or shorter is p × p × p × p = p^4.
However, we are not given the specific value of p in the problem statement. If we assume that the height of young American men follows a normal distribution, we can look up the corresponding z-score for a height of 68 inches or shorter and use the standard normal distribution to estimate the probability.
For example, if we find that a height of 68 inches corresponds to a z-score of -1.0, we can use a standard normal distribution table or a calculator to determine the probability of a z-score less than or equal to -1.0. Let's say this probability is approximately 0.1587.
Therefore, the estimated probability that all four randomly selected young American men are 68 inches or shorter would be (0.1587)^4 = 0.004.
Thus, the probability is approximately 0.004 or 0.4% rounded to three decimal places.
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Factor completely 18x2 − 21x −15. 3(2x 1)(3x − 5) 3(2x − 5)(3x 1) 3(2x − 1)(3x 5) 3(6x 1)(x − 5).
The factor of the \(18x^{2} -21x-15\) will be 3(3x-5)(2x+1).
What will be the factor of \(18x^{2} -21x-15\) ?Given quadratic equation is \(18x^{2} -21x-15\)
By taking 3 common from whole of the equation it becomes.
\(3(6x^{2} -7x-5)\)
now by factorization equation will be.
\(3(6x^{2} -10x+3x-5)\)
3[(2x(3x-5)+1(3x-5)]
Taking (3x-5) common from whole equation it will become
3(3x-5)(2x+1).
Hence the factor of the \(18x^{2} -21x-15\) will be 3(3x-5)(2x+1).
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SOMEONE PLS ANSWER THIS AND I NEED HELP ON THIS ASAP
Answer
30,812
Step-by-step explanation:
Answer:
30,812
Step-by-step explanation:
30,812 iiiiiiiiiiiiiiiiiiiiiiiiiii
Renata wins a $20 gift card to an online music site. After Renata purchases 16 songs, the gift card has a remaining balance of $0. Which equation represents the relationship between y, the remaining balance on Renata’s gift card, and x, the number of songs purchased?
4x + 5y = –100
5x + 4y = 80
4x + 5y = 16
5x + 4y = 20
Answer:
5x + 4y = 80
Step-by-step explanation:
First, let us look at the given:
x = The number of songs purchased
y = The remaining balance of Renata's gift card
Coordinates:
1. (16,0)
2. (0,20)
Now let's look at the unknown:
Slope =?
Since we have the coordinates we can easily apply the slope formula
Now that we have our slope we can use either point-slope formation or slope-intercept formation, just pick whichever one you're comfortable with.
Point-slope formation
y - y1 = slope (x - x1)
Now just plug in the numbers:
y - 0 = 20/-16 (x - 16)
Now you multiply both sides by -16 to get rid of the fraction
-16(y - 0) = -16 (20/-16) (x - 16)
-16y - 0 = 20 (x - 16)
-16y = 20x - 320
Now subtract 20 from both sides.
-16y - 20x = 20x - 20x - 320
-20x - 16y = -320
Now we need to simplify both sides so we divide both sides by 4
-5x - 4y = -80
Now, remember, one of the rules of standard formation is that the coefficient of x cannot be smaller than zero. So you need to multiply both sides by -1.
-1 (-5x - 4y) = (-80) -1
5x + 4y = 80
Answer:
B
Step-by-step explanation:
i think its b cuz yea
cmon y'all i only have 3 more questions
1.25
the exponent is to the 6th because there are six zeros
Answer:
blue box: 1.25
orange box: -7
Please help divide 10u^2− 4u/2u
Options
10u−4
5u−2
10u− 42
5u− 22
Answer:
5u-2
-_-_-_-_-_-_-_-_-
Mr. Flanders is giving each of his students 1 fruit chew candy. There are 4 possible flavors: cherry, orange, lemon, and strawberry. The
probability of getting cherry is 1/5, the probability of getting orange is 1/4, and the probability of getting lemon is 1/3. What is the probability of
getting strawberry?
a
3/4
1/4
О Ы
Os
13/60
d
11/60
The probability of getting strawberry is 11/60. The correct option is d.
To determine the probability of getting strawberry, we need to consider the probabilities of all the possible flavors and calculate the probability of strawberry using the information given.
Given probabilities:
Probability of getting cherry = 1/5
Probability of getting orange = 1/4
Probability of getting lemon = 1/3
Since there are only four flavors in total, we can calculate the probability of getting strawberry by subtracting the sum of the probabilities of cherry, orange, and lemon from 1.
Probability of getting strawberry = 1 - (1/5 + 1/4 + 1/3)
To simplify the calculation, we find a common denominator for 5, 4, and 3, which is 60.
Probability of getting strawberry = 1 - (12/60 + 15/60 + 20/60)
= 1 - 47/60
= 13/60
Therefore, the probability of getting strawberry is indeed 13/60, which corresponds to option d) 11/60 in the given list of options.
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A thin, rectangular sheet of metal has mass M and sides of length a and b. Use the parallel-axis theorem to calculate the moment of inertia of the sheet for an axis that is perpendicular to the plane of the sheet and that passes through one corner of the sheet.
The moment of inertia of the thin rectangular sheet for an axis perpendicular to the plane and passing through one corner can be calculated using the parallel-axis theorem. The moment of inertia is given by I =\((1/3)M(a^2 + b^2).\)
In the first part, the moment of inertia of the sheet for the given axis is I = \((1/3)M(a^2 + b^2).\)
In the second part, the parallel-axis theorem states that the moment of inertia of a body about an axis parallel to and a distance 'd' away from an axis passing through the center of mass is equal to the moment of inertia about the center of mass plus the mass of the body multiplied by the square of the distance 'd'.
In this case, the axis passes through one corner of the sheet, which is a distance 'd' away from the center of mass. Since the sheet is thin, we can consider the mass to be uniformly distributed over the entire area. The center of mass is located at the intersection of the diagonals, which is (a/2, b/2).
The moment of inertia about the center of mass, I_cm, for a thin rectangular sheet is given by I_cm = (\(1/12)M(a^2 + b^2).\)
Applying the parallel-axis theorem, we have:
I =\(I_cm + Md^2.\)
Since the axis passes through one corner, the distance 'd' is equal to (a/2) or (b/2), depending on which corner is chosen. Therefore, the moment of inertia is given by:
I = \((1/12)M(a^2 + b^2) + M(a^2/4)\) or I =\((1/12)M(a^2 + b^2) + M(b^2/4).\)
Simplifying, we obtain:
I = \((1/3)M(a^2 + b^2)\).
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The probability that a health nurse will find a client at home on a particular day is 0.7. what is the probability that on two home visits made by the nurse in a day, she will find each client at home?
The probability that the nurse will find the two patients is P = 0.49.
How to find the probability?
We know that the probability that the nurse finds the client on a particular day is 0.7
So, each time that the nurse goes that a home, that probability is the same and is independent of what happened before.
So if the nurse goes to two houses, the probability that she will find the client on the first home is 0.7
And the probability that she will find the client on the second home is 0.7
Then the joint probability (the product of the two individual ones) is:
P = 0.7*0.7 = 0.49
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please show me how you do this question
Answer:
Use the formula SA=2×length×width+2 length× height+2×height×width. With this I believe your answer should be 13.5. Sorry if it's wrong since the answer choices don't line up but thats the only way it makes sense for me.
Find an equation of the line. Write the equation using function notation. Through ;(6,-7) perpendicular to 2y=x-4
The equation of the line in function notation is y.=-2x + 5
Equation of alineThe standard equation of a line is expressed as y = mx + b
where
m is the slope
b is the y-intercept
Given the equation
2y=x-4
y = 1/2x - 2
The slope perpendicular will be -2
Substitute into y-y₁ = m(x-x₁)
y-(-7) = -2(x-6)
y+7 = -2x +12
y = -2x + 5
Hence the equation of the line in function notation is y.=-2x + 5
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represent 3/4 and 8/9 on a number line
Answer:
Step-by-step explanation:
3/4 and 8/9 both lie between 0 and 1. Their LCD is 36.
Thus, 3/4 = 27/36 and 8/9 = 32/36.
Dividing the number line between 0 and 1 into 36 equal lengths, plot a dot at the 27th such mark and then another dot at the 32nd mark.
This clearly shows that 32/36 is larger than 27/36.
Which of the following graphs is the solution set of -10 < 3x - 4 < 8?
Answer:
3rd option
Step-by-step explanation:
Solving the inequality
- 10 < 3x - 4 < 8 ( add 4 to each interval )
- 6 < 3x < 12 ( divide each interval by 3 )
- 2 < x < 4
Since -2 less than x and x less than 4
This is indicated by an open circle at - 2 and 4 on the number line and the line between them is shown in black.
The solution is represented on the 3rd graph
Answer:
its the 3rd graph
Step-by-step explanation:
for a normal distribution with a population mean of 80 and a standard deviation of 15, find the proportion of the population corresponding to scores between 65 and 110.
The proportion of population having score between 65 to 110 is 81.85%.
We have-
Mean of population = 80
Standard deviation of population = 15
We are supposed to find the proportion of the population corresponding to scores between 65 and 110.
According to the formula of the Z-score.
z = (x-μ)/σ
X=interval, μ= population mean ,
σ= standard deviation
Here,x = 65,μ= 80,σ= 15 andz = (65-80)/15z = -1
For Z=-1, From the z-table, the area to the left is 0.1587
Now, we need to find the area in the right It can be calculated as follows.
z = (110-80)/15 = 2.
Area to the left of Z=2.00 is 0.028
So, the area between Z= -1 and Z= 2 is
= Total Area - (area of population below 65 + area of population above 110)=1-(0.1587+0.0228)=0.8185
The proportion of the population corresponding to scores between 65 and 110 is 0.8185 or 81.85%.
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I need help ??!!!!! Please
i need help please help
Answer:(0,6)
Step-by-step explanation:
Solve for Y if X =0
y=2x+6
Y=2(0)+6
Y=6
other factors held constant, a one-tailed test is more powerful than a two-tailed test.
The given statement is True.
Because the one-tailed test provides more power to detect an effect in one direction by not testing the effect in the other direction.
Statistical PowerIn statistics, power is defined as the likelihood of correctly rejecting a null hypothesis. In other words, avoiding a type II error. There are many ways to increase the power of a study to ensure that significant effects are not missed and incorrect conclusions are not drawn.
The main difference between one-tailed and two-tailed tests is that one-tailed tests will only have one critical region whereas two-tailed tests will have two critical regions. If we require a 100(1−α) 100 ( 1 − α ) % confidence interval we have to make some adjustments when using a two-tailed test.
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