Can someone explain
Answer:
You need to use sohcahtoa to find your answer.
first you gotta identify what sides of the triangle you have.
You're missing the hypotenuse, and you have the value of the adjacent.
since you have the adjacent and need the hypotenuse, you're going to use cosine to find x
cos(65) = 16/x
x = 37.859
Answer:
x = 37.85
this is a standard "trig" question
it requires two pieces of insight.
First that a triangle has 180° interior angles.
from that you can determine that the third angle is 25° because
90 + 65 + β = 180
the red symbol lets you know that it is 90°
the second think that will help is SOHCAHTOA
that is if you have a "right triangle" (one with a 90° angle)
in this problem (in your mind rotate the triangle so the 65° is at the bottom left and the two long sides are pointing up
in this case you have the 16 on the bottom (adjacent to the angle) and
the x is on the hypotenuse...
you have the A& H that is COS
thus you have cos(65) = \(\frac{16}{x}\)
x = 37.85
Step-by-step explanation:
Divide £143 in the ratio 2 : 11
Answer:
22 : 121
Step-by-step explanation:
2 + 11 = 13
143 / 13 = 11
2 × 11 = 22
11 × 11 = 121
The amount of £143 is divided into two sections that are £22 and £121.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Divide £143 in the ratio 2: 11.
Let the amount of £143 be divided into two sections that are 'x' and 'y'. Then the equations are given as,
x + y = £143 ...1
x / y = 2 / 11 ...2
From equations 1 and 2, then we have
(2/11)y + y = £143
(13/11)y = £143
y = £121
Then the value of 'y' is given as,
x + £121 = £143
x = £143 - £121
x = £22
The amount of £143 is divided into two sections that are £22 and £121.
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A 40 gram sample of a substance that’s used for drug research has a k-value of 0.1472.
Find the substance’s half-life, in days. Round your answer to the nearest tenth.
A 40 gram sample of a substance that’s used for drug research has a k-value of 0.1472. The substance's half-life, in days, is approximately 4.7 days.
The half-life of a substance is the time it takes for half of the substance to decay or undergo a transformation. The half-life can be determined using the formula:
t = (0.693 / k)
where t is the half-life and k is the decay constant.
In this case, we are given that the sample has a k-value of 0.1472. We can use this value to calculate the half-life.
t = (0.693 / 0.1472) ≈ 4.7 days
Therefore, the substance's half-life, rounded to the nearest tenth, is approximately 4.7 days.
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A quadratic equation of the form 0=ax2 bx c has a discriminant value of -16. how many real number solutions does the equation have?
The quadratic equation will have no real solutions.
Given quadratic equation is: \(ax^{2} +bx+c=0\)
What is the discriminant of a quadratic equation?The discriminant(D) of a quadratic equation is \(D=b^{2}-4ac\). It depicts the nature of the roots.
\(D > 0\) the roots are real and distinct.
\(D=0\) the roots are real and equal.
\(D < 0\) the roots will be imaginary.
We have \(D=-16\) which is negative.
So, the roots will be imaginary.
So, the given quadratic equation will have no real solutions.
Hence, the given quadratic equation has no real solutions.
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if it is known that at least one child has blue eyes, what is the probability that at least two children have blue eyes?
Answer: 1 in 2 chance
Step-by-step explanation:
what are the coordinates of the vertex for f(x)= x^2 +6x +13
Answer:
(-3,4)
Step-by-step explanation:
So we have the quadratic function:
\(f(x)=x^2+6x+13\)
The formula for the x-coordinate of the vertex is:
\(x=-b/2a\)
From the function, we can determine that a is 1, b is 6, and c is 13. Thus:
\(x=-(6)/2(1)\)
Multiply:
\(x=-6/2\)
Divide:
\(x=-3\)
Now, substitute this back into the function to solve for the y-coordinate:
\(f(-3)=(-3)^2+6(-3)+13\)
Square and multiply:
\(f(-3)=9-18+13\)
Add:
\(f(-3)=4\)
So, the vertex is (-3,4)
And we're done!
TRUE OR FALSE:
6a - a = 5a
Answer:
false
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
A new 125 g alloy of brass at 100°C is dropped into 76 g of water at 25 °C. The final temperature of the water and brass is 35 °C, what is the specific heat of the sample of brass? The specific heat of water = 4.184 J/g. °C
Answer:
The specific heat of the brass can be calculated using the formula:
Q = mcΔT
where Q is the heat transferred, m is the mass of the brass, c is the specific heat of the brass, and ΔT is the change in temperature.
First, calculate the heat transferred from the brass to the water:
Qbrass = mcΔT = (125 g)(c)(100 °C - 35 °C) = 9375c J
Next, calculate the heat transferred from the water to the brass:
Qwater = mcΔT = (76 g)(4.184 J/g. °C)(35 °C - 25 °C) = 3191.84 J
Since the heat lost by the brass is equal to the heat gained by the water:
Qbrass = Qwater
9375c J = 3191.84 J
c = 0.34 J/g. °C
Therefore, the specific heat of the brass is 0.34 J/g. °C.
Step-by-step explanation:
find f(t) for the function f(s)= 5s³+20s²-49x-108/s²+7s+10. assume that k(t)=δ′(t) .
The function f(t) is given by (15t² + 40t) / (2t + 7) when k(t) is replaced by the derivative of the Dirac delta function, denoted as δ'(t).
the derivative of f(s) is taken by differentiating each term separately. The derivative of 5s³ is 15s², the derivative of 20s² is 40s, and the derivative of -49x is 0 since x is not involved.
The derivative of -108 is also 0.
Moving on to the denominator
the derivative of s² is 2s, the derivative of 7s is 7
and the derivative of 10 is 0. Therefore, the derivative of f(s) with respect to s is (15s² + 40s) / (2s + 7).
we substitute k(t) with δ'(t), which is the derivative of the Dirac delta function δ(t).
The Dirac delta function is defined as 0 for all values of t except at t = 0, where it is infinite.
Its derivative, δ'(t), is 0 for all values of t except at t = 0, where it is not defined.
Therefore, the resulting expression for f(t) is (15t² + 40t) / (2t + 7). This is the final answer for f(t) in terms of t, obtained by differentiating f(s) and substituting k(t) with δ'(t)
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Find the equation of the line that contains the points (6,3) and (9,4) Write the equation in the form y=mx+b HELP ASAP
Answer:
y = 1/3x + 1
Step-by-step explanation:
find the slope by using y2-y1/x2-x14-3/9-6
1/3. slope = 1/3 = m
2. plug the values into the equation to find y-int. You can use whichever point is given to you
I'll use (6,3)
y = mx + b
3 = 1/3(6)+b
1/3(6)=2
3 = 2 + b
3. subtract 2 from both sides and you get b
b = 1
So, the equation of the line would be
y = 1/3x + 1
Name the segment in the scaled copy that corresponds to segment AD
Segment PS in the scaled copy corresponds to segment AD in polygon ABCD in polygon PQRS. They are similar in appearance and appear in the same location.
What is a polygon?A polygon is a two-dimensional flat shape with straight, fully closed sides. Straight, not curved, sides are required. Polygons, on the other hand, can have any number of sides.
Polygon is derived from the Greek word "polugonos." It has evolved into the term "polygon" over time. The term "polygon" means "many" and "gon" means "angled." This is due to the fact that a polygon has numerous angles and corners within its shape.
The Greeks may have been the first to recognize polygons, as there are numerous examples of them recognizing polygons such as the pentagram in their ancient art and writings.
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A number with 100 digits is given. the first two digits of that number are 2 and 9 . how many digits has a square of that number?
The square of the given number will have 199 digits.
How to find the number digits in the square of the given number?A number with hundred digits is given.
The first two digits of the given number are 2 and 9.
We can use the following formula to find the total number of digits in the square of a number.
2n - 1
Where n is the total number of digits in the given number.
Let us take a number with 2 digits:
29*29 = 841 { 2*2 - 1 = 3}
We can see that the square of the 2-digit number has 3 digits in it.
Let us take a number with 3 digits:
299*299 = 89401 { 2*3 - 1 = 5}
We can see that the square of the 3-digit number has 5 digits in it.
Similarly, we can find the number of digits in the square of a 100-digit as shown below:
2n - 1 = 2*100 - 1
= 200 - 1
= 199
Therefore, we have found that the square of the given number will have 199 digits.
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Please answer it now in two minutes
Answer:
135.5
hope this helps :)
Solve for x. The triangles are similar
Answer:
X=4
Step-by-step explanation:
12x-3=45
12x. =45+3
12x. =48
X=4
The value of x is 10, given that the two triangles are similar to each other.
What is the relation between the sides of two similar triangles?The corresponding sides of a pair of similar triangles are in proportion.
This can be shown like this:
If Δ ABC ~ Δ XYZ, that is, triangle ABC is similar to triangle XYZ, we can write that,
AB/XY = BC/YZ = CA/ZX.
How to solve the question?In the question, we are asked to find the value of x, given that triangle SER is similar to triangle GEF.
∴ Δ SER ~ Δ GEF.
By properties of similar triangles, we can write that:
SE/GE = ΔER/EF = RS/FG,
or, 45/(12x - 3) = 55/143 = RS/FG.
We can use the first two parts of the relation, to form an equation in x, and solve for it.
∴ 45/(12x - 3) = 55/143
or, 12x - 3 = (45 * 143)/55 = 117
or, 12x = 117 + 3 = 120
or, x = 120/12 = 10.
∴ The value of x is 10, given that the two triangles are similar to each other.
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Where is the graph of f(x)=4[x-3]+2 discontinuos
Answer:
Below
Step-by-step explanation:
4 [x-3] + 2 = y is not discontinuous anywhere
However 4 / [x-3] + 2 DOES have a discontinuity at x = 3 because this would cause the denominator to be zero <===NOT allowed !!
There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter.
To the nearest meter, how many meters are in 197 inches? Enter the answer in the box.
meters
Answer:
5 meters
Step-by-step explanation:
If in 1 inch have 2.54 centimeters, in 197 inches will have:
197×2.54 = 500.38 centimeters
If 100 centimeters are 1 meter, 500 centimeters will have 5 meters, so 197 inches have 5 meters
Draw a model for the fraction 1/6
Answer:
Hope the picture helps you draw.
Step-by-step explanation:
Find the area of the parallelogram. b = 90 ft h = 2 yd The area of the parallelogram is __ft² or __yd².
I ain’t giving n9 answer
tests for tuberculosis. Suppose that for the population of adults that is taking the test; 5% have tuberculosis The test correctly identifies 74.6% of the tlme adults with tuberculosis and correctly identifies those without tuberculosis 76.53% of the time: Suppose that POS stands for the test gives positive result and S means that the adult really has tuberculosis What is the probability of an adult getting NEG result and truly having tuberculosis? A.0.0373 B.0.0127 C.0.2230 D.0,7270
The probability of an adult getting a NEG result and truly having tuberculosis is 0.01725, which is closest to option (A) 0.0373.
Let's use the following notation:
P(TB) represents the probability that an adult has tuberculosis, which is given as 0.05.
P(POS|TB) represents the probability that the test is positive given that an adult has tuberculosis, which is given as 0.746.
P(NEG|TB) represents the probability that the test is negative given that an adult has tuberculosis, which is 1 - P(POS|TB) = 0.254.
We are asked to find the probability of an adult getting a NEG result and truly having tuberculosis, which can be calculated using Bayes' theorem as follows:
P(TB|NEG) = P(NEG|TB) * P(TB) / P(NEG)
We can calculate P(NEG) using the law of total probability, which considers the two possible cases for an adult: having tuberculosis (TB) or not having tuberculosis (TB').
P(NEG) = P(NEG|TB) * P(TB) + P(NEG|TB') * P(TB')
= 0.254 * 0.05 + 0.7653 * 0.95
= 0.7352
Now we can substitute the values into Bayes' theorem:
P(TB|NEG) = 0.254 * 0.05 / 0.7352
= 0.01725
Therefore, the probability of an adult getting a NEG result and truly having tuberculosis is 0.01725, which is closest to option (A) 0.0373.
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Air is being pumped into a spherical balloon at the rate of 7 cm³/sec. What is the rate of change of the radius at the instant the volume equals 36n cm³ ? The volume of the sphere 47 [7] of radius r is ³.
the rate of change of the radius at the instant the volume equals 36π cm³ is 7 / (36π) cm/sec.
The volume V of a sphere with radius r is given by the formula V = (4/3)πr³. We are given that the rate of change of the volume is 7 cm³/sec. Differentiating the volume formula with respect to time, we get dV/dt =(4/3)π(3r²)(dr/dt), where dr/dt represents the rate of change of the radius with respect to time.
We are looking for the rate of change of the radius, dr/dt, when the volume equals 36π cm³. Substituting the values into the equation, we have: 7 = (4/3)π(3r²)(dr/dt)
7 = 4πr²(dr/dt) To find dr/dt, we rearrange the equation: (dr/dt) = 7 / (4πr²) Now, we can substitute the volume V = 36π cm³ and solve for the radius r: 36π = (4/3)πr³
36 = (4/3)r³
27 = r³
r = 3 Substituting r = 3 into the equation for dr/dt, we get: (dr/dt) = 7 / (4π(3)²)
(dr/dt) = 7 / (4π(9))
(dr/dt) = 7 / (36π)
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Solve the inequality-48< -8t. Then graph the solution set.show your work
Answer:
t < - 6
Graph attached
Step-by-step explanation:
48 < -8t
/-8 /-8
-6 > t or t < - 6
Hope this helps!
Find the length of CE
A. 17.8 units
B. 27.8 units
C. 37.8 units
D. 51.5 units
Answer:
B. 27.8 units
Step-by-step explanation:
Hope it Help
suppose that f(0)=−3 and f′(x)≤8 for all values of x. use the mean value theorem to determine how large f(4) can possibly be. answer: f(4)≤
The largest value that f(4) can possibly be is 29.
The mean value theorem states that for a function f(x) that is continuous on the closed interval [a, b] and differentiable on the open interval (a, b), there exists a number c in the open interval (a, b) such that:
f(b) - f(a) = f'(c)(b - a)
In this case, we are given that f(0) = -3 and that f'(x) ≤ 8 for all values of x. To determine how large f(4) can possibly be, we can use the mean value theorem with a = 0 and b = 4:
f(4) - f(0) = f'(c)(4 - 0)
Substituting the given values:
f(4) - (-3) = f'(c)(4)
f(4) + 3 = 4f'(c)
Since f'(x) ≤ 8 for all values of x, we can say that f'(c) ≤ 8. Therefore:
f(4) + 3 ≤ 4f'(c) ≤ 4(8) = 32
Therefore, we have:
f(4) ≤ 32 - 3 = 29
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Please help me, i really need this now
Answer:
a. 10 inches = 63.3 miles
b. 16 inches = 101.3 miles
c. 9.5 inches = 60.2 miles
d. 12.5 inches = 79.2 miles
e. 21 inches = 133.0 miles
Step-by-step explanation:
3 inch = 19 miles => 1 inch = 19/3 miles
a. 10 inches = 10 x 19/3 = 63.3 miles
b. 16 inches = 16 x 19/3 = 101.3 miles
c. 9.5 inches = 9.5 x 19/3 = 60.2 miles
d. 12.5 inches = 12.5 x 19/3 = 79.2 miles
e. 21 inches = 21 x 19/3 = 133.0 miles
I am politely asking for some assistance with, thy questions in quantities above 1. My very brain inside of my cranium is too little to answer thy questions. I am requesting some assistance.
Answer:
First one, true
Second one, 23/45
Third one, 11/29
Step-by-step explanation:
There's thy answer for thy self t-t
Answer:
1.)true
2.) 23/45
3.)11/29
Step-by-step explanation:
Vanessa draws one side of equilateral AABC on the coordinate plane at points A(-2, 1) and B(4,1). What are the possible coordinates of vertex C? Select all that apply.
Answer:
Step-by-step explanation:
Answer E is the only one that is close
The snallest flowering plant is the flowering aquatic duckweed found in australia. it is 0.0236 inch long and 0.0129 inch wide. write these dimensions as fractions in simplest form.
The dimension of the smallest flowering plant is 59/2500 in. long and 129/10,000 in. wide.
To convert Decimal into Fraction form:
Do the following Steps:
Step 1: Make a fraction with the decimal number as the numerator and a 1 as the denominator.
Step 2: Remove the decimal places by multiplication.
Step 3: Reduce the fraction.
Step 4: Simplify the remaining fraction to a mixed number fraction if possible.
Given,
The smallest flowering plant is the flowering aquatic duckweed found in Australia.
And it is 0.0236 inch long and 0.0129 inch wide.
Here we need to write these dimensions as fractions in simplest form.
Rewrite the decimal number as a fraction with 1 in the denominator
So,
=> 0.0236/1 and 0.0129/1
Now, Multiply to remove 4 decimal places. Here, you multiply top and bottom by 10⁴ = 10000.
Then we get,
=> 236/10000 and 129/10000
Now, reduce the fraction by dividing both numerator and denominator by GCF = 4,
=> 59/2500
But the fraction 129/10000 is not reducible.
Therefore, the fraction form is,
=> 59/2500 in. long and 129/10,000 in. wide.
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Help pls!!!!! Quickly pls worth 100 points!!!!!!!!!
Answer:
\(\sf m = \dfrac{2}{5}\)
Explanation:
A system of equations will have no solution when:
1st equation = y = ax + b2nd equation = y = ax + cMeaning they shall have the same slope but different constant.
Here given:\(\sf y = \dfrac{2}{5} x - 7\) Here slope: 2/5 and constant: -7
Another equation:
\(\sf y = \dfrac{2}{5} x + 3\) Has the same slope but different constant.
Answer:
m = 2/5
Step-by-step explanation:
Understanding :
A system of equations have no solutions when they do not cross/intersect each other at any point.
This is only possible when the slopes of the lines are equal.
Solution :
Hence,
m = 2/5Jar A has 2 red marbles, 4 green marbles, and 3 blue marbles. Jar B has 4 pink marbles, 6 purple marbles, and 2 white marbles. Marcy randomly chooses 2 marbles from Jar A, then 2 marbles from Jar B, without replacement in each case. What is the probability that she gets 1 purple marble, 1 pink marble, and 2 green marble?
The probability that she gets 1 purple marble, 1 pink marble, and 2 green marble are 0.03.
What is probability?The probability of an event occurring is defined by probability.
Probability is also called chance because if you flip a coin then the probability of coming head and tail is nothing but chances that either head will appear or not.
The probability of getting 1 purple marble = 6/12 = 1/2
Now the number of marbles in jar B = 12 - 1 = 11
The probability of getting 1 pink marble from jar B = 4/11
The probability of getting 1 green marble from jar A = 4/9
The number of remaining marbles = 9 - 1 = 8 and the remaining green marble = 3.
The probability of getting 2nd-time green marble = 3/8
The probability of getting 1 purple marble, 1 pink marble, and 2 green marble ⇒ 1/2 x 4/11 x 4/9 x 3/8 = 48/1584 = 0.03
Hence "There is a 0.03 percent chance that she will receive one purple marble, one pink marble, and two green marbles".
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A bathtub ha ome water in it. Mia turn on the faucet to add more water. The total amount of water in gallon, y i a function of the time minute ince Mia turn on the faucet, x
The linear equation representing Mia's situation is y = 3x + 12.
What is a linear equation?
A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.
The two points given are - (4,24) and (6,30)
The slope-intercept form of a linear equation is - y = mx + b, where m is the slope and b is the y-intercept.
To find the slope use the formula -
m = (y2 - y1)/(x2 - x1)
m = (30 - 24)/(6 - 4)
m = 6/2
m = 3
So, now the equation becomes - y = 3x + b
To find the y-intercept substitute the equation with x and y values -
24 = 3(4) + b
24 = 12 + b
b = 24 - 12
b = 12
So, now the equation becomes - y = 3x + 12.
Therefore, the linear equation y = 3x + 12.
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A bathtub has some water in it. Mia turns on the faucet and add more water. The total amount of water in gallons, y, is a function of the time in minutes since Mia turned on the faucet, x. The graph of a linear function passes through the points (4,24) and (6,30) What is the equation of the function?