Answer:
5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
-4w-4=-24
-4w=-24+4
-4w=-20 to find w divide both side by -4
-4w/-4 =-20/-4
w=5
Algebra II Part 1
What is the range of this relation?
(-3, 2), (2, -4), (2, 6), (-3,-5), (0, -3)
problem 18. Find x and y
Answer:
x = 39°
y = 90°
Step-by-step explanation:
Answer:
x = 39°
y = 92°
Step-by-step explanation:
x = 39° because alternate (or z) angles are equal.
x = 92° because all angles in a triangle add up to 180°.
so
49+39=88
angles on a straight line are equal to 180°
180°-88° = 92
Hope this helps!
2loga + 4logb - logc - 3logd
Answer: I am sorry I have no idea what this is
Step-by-step explanation: It might be log parenthesis a to the power of 2 than b to the power of 4 over cd to the power of 3 parenthesis have a nice day, hope it is not to confusing, it did not let me use the right characters
Answer:
\(log \left( \frac{a^2\,\,b^4}{c\,\,d^3} \right)\)
Step-by-step explanation:
We use the properties of logarithms to write this as a single logarithmic expression. First the exponent property:
2 log(a) + 4 log(b) - log(c) - 3 log(d) =
= log(a^2) + log(b^4) - log(c) - log(d^3) =
and now the multiplication and division properties
= \(log \left( \frac{a^2\,\,b^4}{c\,\,d^3} \right)\)
Please help!!!!!!!!!
Answer:
Step-by-step explanation:
The point means that 15 pounds of beans cost 12 dollars.
If you roll a 6-sided die 54 times, what is the best prediction possible for the number of times you will roll an odd number?
and leena comment under please
Answer:
9 times
Step-by-step explanation:
I took 54 and divided it by six and got nine
what is the product of -3 and +50
Answer:
the product of -3 and +50 is -150
(-3)×+(50)=-150
Answer:
-150Step-by-step explanation:
-3 × 50 =
-150
A crane is being created by four steel members (bold) and a cable, as shown in the diagram below. It is known that AC = 10 ft. AB = 8 ft, m/A=
40°, m/ CBD-65°, and m/ D=45°.
(a) Determine the length of support member BC to the nearest hundredth of a foot.
(b) Determine the length of the cable CD to the nearest hundredth of a foot.
Using law of cosine and Pythagorean theorem, the length of BC is 18 foot and CD is 12.3 foot
What is the length of BCa) To find the length of support member BC, we can use the Law of Cosines:
BC^2 = AC^2 + AB^2 - 2 * AC * AB * cos(m/C)
where m/C is the measure of angle C. We know that m/A = 40° and m/D = 45°, so m/C must be the supplementary angle to the sum of these angles:
m/C = 180° - (m/A + m/D) = 180° - (40° + 45°) = 95°
Substituting known values into the Law of Cosines equation, we have:
BC^2 = 10^2 + 8^2 - 2 * 10 * 8 * cos(95°)
BC^2 = 100 + 64 + 160
BC^2 = 324
BC = sqrt(324) = 18
So, the length of support member BC is 18 feet to the nearest hundredth of a foot.
b) To find the length of cable CD, we can use the Pythagorean Theorem:
CD^2 = BC^2 + AC^2 - 2 * BC * AC * cos(m/A)
Substituting known values into the equation, we have:
CD^2 = 18^2 + 10^2 - 2 * 18 * 10 * cos(40°)
CD^2 = 324 + 100 - 360 * cos(40°)
CD^2 = 424 - 360 * cos(40°)
Using the cosine formula, we can find the value of cos(40°):
cos(40°) = cos(90° - 40°) = sin(40°)
And using a reference table or calculator, we find that sin(40°) = 0.766
So, substituting the value of cos(40°) back into the equation for CD^2, we have:
CD^2 = 424 - 360 * 0.766
CD^2 = 424 - 276.56
CD^2 = 147.44
CD = sqrt(147.44) = 12.3
So, the length of cable CD is 12.3 feet to the nearest hundredth of a foot.
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Let x1 = 36, y1 = −6, and y2 = 8, and let y vary inversely as x. Find x2.
Answer:
-30
Step-by-step explanation:
Using 'y' is vary inversely to 'x', the value of x₂ = -27.
What is inverse?The word inverse in mathematics "a function or operation which reverses the order or operation of another function or operation".
According to the question,
x₁ = 36, y₁ = -6, y₂ = 8 and x₁ is inversely proportional to y₁ which mean
(x₁) (y₁) = k
(36)(-6) = -216.
Formula for inverse is x = k(\(\frac{1}{y}\)).
In order to find x₂, x₂ = -216(1/8)
x₂ = -27
Hence, the value of x₂ = -27.
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Help me I need help ASAP pls
Answer:
Step-by-step explanation:
-37/4
Answer: 2 1/4
Step-by-step explanation: 5 + 3/4 -3 = 1/2 5 - 3 = 2
The ratio of men to women working for a company is 4 to 7. If there are 76 men working for the company, what is the total number of employees?
Answer:
133
Step-by-step explanation:
76/4=19
19*7=133
Answer:
209 employees
Step-by-step explanation:
Ratio men : women = 4 : 7
There are 76 men working for the company. We will do this.
number of men working/ratio of men
76/4 = 19
(number of men working/ratio of men) ratio of women = number of women working for the company.
(76/4) x 7 = 19 x 7 = 133
76 + 133 = 209
There are 209 employees.
1.line ab and line cd are parallellines 2.line ef and line gh are perpendicular lines 3. line lJ and line kl are intersecting lines .they intersect at .M
The graphical depictions of the parallel lines, perpendicular lines, and the intersecting lines are shown attached.
What are parallel, perpendicular and intersecting lines?Parallel lines are lines in a two-dimensional space that do not intersect each other, no matter how far they are extended. Perpendicular lines are lines in a two-dimensional space that intersect each other at a 90-degree angle, forming a right angle.
Intersecting lines are lines in a two-dimensional space that cross each other at some point. They are not parallel and may or may not be perpendicular.
Lines AB and CD are therefore parallel as shown. Lines EF and GH are perpendicular and IJ and KL are intersecting.
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The question is to depict the lines to show how they are parallel, perpendicular and intersecting lines.
What is the slope of the line below? If necessary, enter your answer as a
fraction in lowest terms, using the slash (/) as the fraction bar. Do not enter
your answer as a decimal number or an equation.
(6,6) (1,-4)
Answer:
Hope this helps! let me know
A tank is full of water. Find the work (in ft-lb) required to pump the water out of the spout. Use the fact that water weighs 62.5 lb/ft3. (Round your answer to the nearest whole number.) 3 ft6 ft12 ft A frustum of a cone with a spout is given. The smaller radius is 3 ft, the larger radius is 6 ft, and the height is 12 ft.
The work required to pump the water out of the spout is approximately 64,307,077 ft-lb
To find the work required to pump the water out of the spout, we need to calculate the weight of the water in the tank and then convert it to work using the formula: work = force × distance.
First, let's calculate the volume of water in the tank. The frustum of a cone can be represented by the formula: V = (1/3)πh(r1² + r2² + r1r2), where r1 and r2 are the radii of the two bases and h is the height.
Given r1 = 3 ft, r2 = 6 ft, and h = 12 ft, we can calculate the volume:
V = (1/3)π(12)(9 + 36 + 18) = 270π ft³
Now, we can calculate the weight of the water using the density of water:
Weight = density × volume = 62.5 lb/ft³ × 270π ft³ ≈ 53125π lb
Next, we convert the weight to force by multiplying it by the acceleration due to gravity (32.2 ft/s²):
Force = Weight × acceleration due to gravity = 53125π lb × 32.2 ft/s² ≈ 1709125π lb·ft/s²
Finally, we can calculate the work by multiplying the force by the distance. Since the water is being pumped out of the spout, the distance is equal to the height of the frustum, which is 12 ft:
Work = Force × distance = 1709125π lb·ft/s² × 12 ft ≈ 20509500π lb·ft ≈ 64307077 lb·ft
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Please help find the answer. Thank You!
Answer:
Step-by-step explanation:
208
Which one is the correct choice?
Therefore, the correct response From these integral is option D is.
``` 10 + ∫₅¹ R(t) dt
What is an integral?An integral is a mathematical construct in mathematics that can be used to represent an area or a generalization of an area. It computes volumes, areas, and their generalizations. Computing an integral is the process of integration.
Integration can be used, for instance, to determine the area under a curve connecting two points on a graph. The integral of the rate function R(t) with respect to time t can be used to describe how much water is present in a tank.
The following equation can be used to determine how much water is in the tank at time t = 5 if there are 10 gallons of water in the tank at time t = 1.
``` 10 + ∫₅¹ R(t) dt
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Jane has made 12 cakes to sell. The cost of the ingredients to make the 12 cakes is 6 dollars. She plans to sell each cake for 5 dollars. The amount of money Jane will earn is represented by the equation, m=5c−6 , where m represents the amount of money earned, and c represents the number of cakes sold. Jane makes the claim: "If I make more money than the cost of the ingredients, then the following is true, c > 1 and c < 13." Which of the following statements provide support for Jane's claim? Select THREE that apply.
Answer:
The following statements provide support for Jane's claim:
If Jane sells no cakes, she will not make any money. This means c > 0.If Jane sells all 12 cakes, she will make 54 dollars. This means c < 13.If Jane sells one cake, she will make a profit of $5 - $6 = -$1, which is less than the cost of the ingredients. This means c > 1 is necessary for her to make a profit.
What are at least two similarities between inequalities and equations?
Answer:
both are mathematical sentances, what you do to one side you must do to the other, goal is to isolate variable
Step-by-step explanation:
Find the component form of u + v given the lengths of u and v and the angles that u and v make with the positive x-axis. ||u||= 4, θu =6 , ||v|| = 1, θv = 4
The component of u+v along the length of u and v is (6.3, 0.66).
A vector is quantity which has both magnitude and direction. A magnitude is the length of the vector.
Here in the question u and v makes angle with the positive x axis.
||u||= 4 and θu =6 and ||v|| = 1, θv = 4
To determine the component of u = |u||(cosu, sinu)
Component of u = 6(0.9, 0.1) = (5.4, 0.6)
Component of v = ||v||(cosv sinv)
Component of v along the x axis = 1(0.9, 0.06 ) = (0.9, 0.06)
In the question value of u+v needs to be find.
Value of u + v = (5.4 + 0.9 , 0.6+ 0.06)
Value of the component form of u + v = (6.3, 0.66).
Hence, the component of u+v along the length of u and v is (6.3, 0.66).
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Ian puts 300.00 into an account to use for school expenses the account earns 6%interest compounded annually how much will be in the account after 10 years
This problem is about componded interest. The formula for compounded interest is:
\(\begin{gathered} \text{Amount}=\text{Initial}\cdot(1+r)^t \\ \text{Where,} \\ \text{Amount is the total acumulative at time t.} \\ \text{Initial is the initial amount, at t=0} \\ r\text{ is the interest in decimal number.} \\ t\text{ is the time accordingly the interest, in this case is in years.} \end{gathered}\)In this case, Initial = 300, r = 0.06 and t=10 so the total amount in the account after 10 years is:
\(\begin{gathered} \text{Amount}=300\cdot(1+0.06)^{10} \\ \text{Amount}=300\cdot1.06^{10} \\ \text{Amount}=300\cdot1.79085 \\ \text{Amount}=537.255 \end{gathered}\)The amount after 10 years is 573.26.
Which statements are true? Select MORE THAN ONE correct answer.
The absolute value of −9 is positive.
Since −9 is 9 units to the left of 0, ∣∣−9∣∣=−9 .
−9 is farther to the right on the number line than −10 , so ∣∣−9∣∣>|−10| .
The absolute value of −9 is equal to the absolute value of 9.
Answer:
A and D.
Step-by-step explanation:
The tickets for the field trip were purchased yesterday for both students and instructors. Children tickets cost $9, adult tickets cost $11. The number of children tickets purchased was three more than ten times the number of adults tickets purchased. How many of each were purchased if all of the tickets cost a total of $936 dollars?
The 9 adult tickets and 93 children tickets were purchased.Let's assume the number of adult tickets purchased is "a" and the number of children tickets purchased is "c."
According to the given information, children tickets cost $9 and adult tickets cost $11. So, the total cost of children tickets is 9c, and the total cost of adult tickets is 11a.
The problem also states that the total cost of all the tickets is $936. Therefore, we can write the following equation:
9c + 11a = 936
Additionally, it is mentioned that the number of children tickets purchased was three more than ten times the number of adult tickets purchased:
c = 10a + 3
We can now solve this system of equations to find the values of "a" and "c." By substituting the value of "c" from the second equation into the first equation, we have:
9(10a + 3) + 11a = 936
90a + 27 + 11a = 936
101a = 936 - 27
101a = 909
a = 909 / 101
a = 9
Substituting this value back into the second equation, we find:
c = 10(9) + 3
c = 90 + 3
c = 93.
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What is the missing power?
Answer:
a) 10
b) 10000
c) 100
d) 1000
Step-by-step explanation:
With 0.80 × 10, we move the decimal up one place, so it equals 8.0 or 8
10000 × 0.002, we move the decimal up four places, so it equals 0020.0 or 20
0.04 × 100, we move the decimal up two places, so it equals 04.0 or 4
Lastly, 1000 × 0.5, we move the decimal up three places, so it equals 500.0 or 500
Using the powers of ten, we either move the decimal up or down according to the number of zeros.
Bob is taking Jill out to dinner. Their bill was $27.50. If Bob spent a total of $32.45 including the tip what was the
percentage of the tip?
Step-by-step explanation:
100% = $27.50
1% = 100%/100 = $27.50/100 = $0.275
the extra amount paid (for the tip) was
$32.45 - $27.50 = $4.95
to know how many percent that is, we need to see how often 1% fits into that amount.
so,
4.95 / 0.275 = 18
therefore the tip was 18%.
FYI - in real life the tip percentage (and corresponding amount) is calculated based on the net bill (the amount before sales tax).
(a) 3.2% of 360 (b) 2.7% of 90 (c) 12.8% of 240 (d) 0.8% of 450 (e) 0.5% of 500 (f) 0.25% of 320
Answer:
listen i would do this for u bit i gtg so what u can do is:
Step-by-step explanation:
time them into your calculator moving the decimal 2 spots over for example the first one would be .032 x 360 and just do that for all of them
help me plzz i beg you plzz i appreciate the help
Answer:
B? - Hopes it helps
Step-by-step explanation:
Happy early valentines Day! - p.s mark me brainly and another bessing comes ur way!
If x = 6 and y= 4, evaluate the following expression:
3x^2 + 3xy + y^2
Answer:
plz refer the attachment
Answer:
3*6^2 + 3*6*4 + 4^2
18^2 + 72 + 4^2
324 + 72 + 16
412
Answer: 412
The sample size of a proposed study is calculated using the most conservative estimation of the sample proportion and a margin of error of 3% with 95% confidence. What number best approximates the factor by which the original sample would have to be multiplied in order to reduce the margin of error to 1% with 95% confidence?A) 9B) 8C) 10
The original sample size would need to be multiplied by 10 in order to reduce the margin of error to 1% with 95% confidence.
The sample size can be calculated by using the formula:
n = (zα/2/e)2 * p * (1-p)
Where n is the sample size, zα/2 is the z-score for a given level of confidence, e is the margin of error, and p is the estimated proportion success.
For example, if the margin of error is 3% at 95% confidence, the sample size would be calculated as:
n = (1.96/0.03)2 * 0.5 * (1-0.5)
n = 707.
To reduce the margin of error to 1% with 95% confidence, the original sample size would need to be multiplied by 10. The new sample size would be:
n = 10 * 707
n = 7070.
The original sample size would need to be multiplied by 10 in order to reduce the margin of error to 1% with 95% confidence.
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Circle X is shown in the diagram.
Circle X is shown. 2 chords intersect at a point to form arcs a and b. Arc a is intercepted by angle 1. Arc b is intercepted by angle 2. Arcs d and c are the other 2 arcs.
Which equation can be used to solve for m∠1?
m∠1 = One-half(a – b)
m∠1 = One-half(a + b)
m∠1 = One-half(c – d)
m∠1 = One-half(c + d)
Answer:
The equation that can be used to solve for m∠1 is:
m∠1 = One-half(a – b)
This is because angle 1 intercepts arc a, which has a measure of a. By the same token, angle 2 intercepts arc b, which has a measure of b. The sum of the measures of angles 1 and 2 is equal to the measure of the angle formed by the two intersecting chords, which is one-half the sum of the measures of arcs a and b. Therefore, we have:
m∠1 + m∠2 = One-half(a + b)
Since m∠2 is not given, we cannot solve for m∠1 using this equation. However, we can use the fact that the sum of the measures of the angles in a triangle is 180 degrees to get:
m∠1 + m∠2 + m∠3 = 180
where m∠3 is the measure of the angle formed by the two chords outside the circle. Since this angle is supplementary to angle 1, we have:
m∠1 + m∠3 = 180
Substituting the equation for the sum of the measures of angles 1 and 2, we get:
m∠1 + One-half(a + b) = 180
Solving for m∠1, we get:
m∠1 = 180 - One-half(a + b) = One-half(360 - a - b) = One-half(a - b)
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Which linear graph represents a proportional relationship? a graph of a line that passes through the points 0 comma 0 and 2 comma negative 1 a graph of a line that passes through the points 0 comma 1 and 1 comma 3 a graph of a line that passes through the points 0 comma 3 and 1 comma 3 a graph of a line that passes through the points 0 comma negative 1 and negative 1 comma 2
Answer:On a coordinate plane, a straight line with positive slope goes through points (3, 3) and (4, 4).
Step-by-step explanation:
Enter the exact values of the trigonometric ratios in the boxes.
sin 45°
cos 30
tan 60
=
The required value of trigonometric ratios is,
sin 45° = 1/\(\sqrt{2}\)
cos 30 = \(\sqrt{3}\)/2
tan 60 = 1/ √3
We know that,
Trigonometric ratios are based on the value of the ratio of sides of a right-angled triangle and contain the values of all trigonometric functions. The trigonometric ratios of a given acute angle are the ratios of the sides of a right-angled triangle with respect to that angle.
Therefore,
sin 45° = 1/\(\sqrt{2}\)
cos 30 = \(\sqrt{3}\)/2
tan 60 = 1/ √3
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