Step-by-step explanation:
the angle TSW is the total angle and is 73°.
from that total angle, we have one part : angle 1 = 36°.
as angle TSW = angle 1 + angle 2
we have
73 = 36 + angle 2
angle 2 = 73 - 36 = 37°
Solve for x: 2/3 + 1/3x = 2x
(A) x= 1/2
(B) x= 5/2
(C) x= 2
(D) x= 2/5
Answer:
\(\tt (D)\; \tt x=\cfrac{2}{5}\)
Step-by-step explanation:
\(\tt \cfrac{2}{3}+\cfrac{1}{3}x=2x\)
Simplify 1/3x = x/3:-
\(\tt \cfrac{2}{3}+\cfrac{x}{3}=2x\)Join denominators:-
\(\tt \cfrac{2+x}{3}=2x\)Multiply both sides by 3:-
\(\tt 2+x=6x\)Subtract x from both sides :-
\(\tt 2=6x-x\)\(\tt 2=5x\)Divide both sides by 5:-
\(\tt \cfrac{2}{5}=\cfrac{5x}{5}\)\(\tt x=\cfrac{2}{5}\)______________________
Hope this helps!
Simplify and show your work. \((6i)(-2i)(-6-4i)\)
Answer:
- 72 - 48i
Step-by-step explanation:
note that i² = - 1
(6i)(- 2i)(- 6 - 4i)
= - 12i²(- 6 - 4i)
= - 12(- 1)(- 6 - 4i)
= 12(- 6 - 4i) ← distribute parenthesis by 12
= - 72 - 48i
Use the two given functions to write y as a function of x.
y = -3a + 3, a = -5x + 1
Answer:
Step-by-step explanation:
To write y as a function of x using the given functions, we can substitute the value of "a" in the first equation with the expression "-5x + 1" from the second equation.
Given:
y = -3a + 3
a = -5x + 1
Substituting the value of "a" in the first equation:
y = -3(-5x + 1) + 3
Now, let's simplify this expression:
y = 15x - 3 + 3
y = 15x
Therefore, y can be expressed as a function of x as:
y = 15x
What is the volume of the cylinder below?
O A. 70K units
O B. 2257, units
O C. 1757 units
O D. 357 units
Answer:
V = V = 175 pi units^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
V =pi ( 5)^2 ( 7)
V = 175 pi units^3
A temperature of F degrees Fahrenheit is the same as 5/9(f-32) degrees Celsius. According to weather records, the highest recorded temperature in the state of Ohio is 113 degrees Fahrenheit. What is the record high temperature in degrees Celsius
Answer:
45 degrees Celsius
Step-by-step explanation:
lesson 6.4NEED HELP!!!!!!
Graph the image of the figure using the transformation given.
last 3 pics are the options to choose from .
Answer: Option 1
Step-by-step explanation:
We need to multiply each coordinate by 3/2.
Write the equation of the line passing through the points (-7,8) and (7,2) The equation of the line is [ ]Can someone please help me!!!
Answer:
y = -3/7x + 5
Step-by-step explanation:
y2 - y1 / x2 - x1
2 - 8 / 7 - (-7)
-6/14
= -3/7
y = -3/7x + b
2 = -3/7(7) + b
2 = -3 + b
5 = b
True or False
Unit rate is a ration with denominator 2 example 100words in 2 minutes
True
False
Answer:
The Answer Is True
Step-by-step explanation:
What’s the correct answer for the question?
Step-by-step explanation:
the dosage information bases only on age, on weight and the level of the fever. but we have no information about the fever.
so, we assume the fever is below 102.5° F.
the age is with 18 month in the valid range (0.5 to 2 years old) for the dosage.
so, all is left is to do the calculation about the weight.
24 pounds is based on the given information (1 kg ≈ 2.2 pounds) :
24/2.2 = 10.909090909... kg
this is rounded to full kg : 11 kg
the child should get 5 mg per kg, so this child has to get
5×11 = 55 mg
Find sin (b) in the triangle ?
Answer:
a
Step-by-step explanation:
SOH CAH TOA
Sine is opposite over hypotenuse. The opposite side from the angle is 15 and the hypotenuse is 17.
Find the slope of the line graphed below.
Answer:
-3/5
Step-by-step explanation:
You move down 3 from the top point.
Then you move right to the bottom point.
Combine like terms to determine which expression is equivalent to 12+5t−4+15t+1
Answer:#
9+20t
Step-by-step explanation:
help please i need HELP !
Answer:
x³-14x³+19x-23
Step-by-step explanation:
The selling price of 3 cucumbers is $2.00
complete the table to show the relationship between the number of cucumbers and the selling price, Inter a number in each box
Number of Cucumbers
Selling Price
$2.00
$6.00
12
PLEASE HELP FAST ILL GIVE POINTS AND BRAINIEST
Answer:
The first blank is 9 for 9 cucumbers
The second blank is 8 dollars
Step-by-step explanation:
We can use ratios to solve
3 cucumbers x cucumbers
--------------------- = ----------------------
2 dollars 6 dollars
Using cross products
3*6 = 2x
18 = 2x
Divide by 2
18/2 = 2x/2
9 =x
We need 9 cucumbers
For the third row
3 cucumbers 12 cucumbers
--------------------- = ----------------------
2 dollars y dollars
Using cross products
3*y = 2*12
3y = 24
Divide by 3
3y/3 = 24/3
y = 8
We need 8 dollars
The PTO is selling raffle tickets to raise money for classroom supplies. A raffle ticket costs $4. There is 1 winning ticket out of the 280 tickets sold. The winner gets a prize worth $62. Round your answers to the nearest cent.
What is the expected value (to you) of one raffle ticket? $
Calculate the expected value (to you) if you purchase 12 raffle tickets. $
What is the expected value (to the PTO) of one raffle ticket? $
If the PTO sells all 280 raffle tickets, how much money can they expect to raise for the classroom supplies? $
The expected values of the raffle ticket for you are given as follows:
One ticket: -$3.76.12 tickets: -$45.12.For the PTO, the expected values are given as follows:
One ticket: $3.76.12 tickets: $45.12.What is the mean of a discrete distribution?The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.
For you, the distribution is given as follows:
P(X = 62) = 1/280.P(X = -4) = 279/280.Hence the expected value for one ticket is given as follows:
E(X) = 62/280 - 4 x 279/280
E(X) = -$3.76.
For twelve tickets, the expected value is given as follows:
12 x -3.76 = -$45.12.
For the PTO, we use the inverse signals, as the distribution is the inverse, that is:
P(X = -62) = 1/280.P(X = 4) = 279/280.More can be learned about the expected value of a discrete distribution at https://brainly.com/question/27899440
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(p^2n^1/2)^0
√ p^5n^4 equivalent to p^18n^6 √p?
The two expressions are not equivalent.
To simplify the expression (p^2n^1/2)^0 √ p^5n^4, we first need to understand the properties of exponents and radicals.
Recall that any number raised to the power of zero is equal to 1, so (p^2n^1/2)^0 = 1.
Next, we can simplify the radical term by multiplying the exponents inside and outside the radical:
√ p^5n^4 =
(p^5n^4)^(1/2)
= p^(5/2)n^(4/2)
= p^(5/2)n^2
Combining this result with the previous step, we have:
(p^2n^1/2)^0 √ p^5n^4
= 1 * p^(5/2)n^2
= p^(5/2)n^2
This is not equivalent to p^18n^6 √p. In fact, p^(5/2)n^2 cannot be simplified any further without additional information about the expression. ,
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One of the two key assumptions for confidence intervals is that the researcher has used _____ ____ ____. (Hint: 3 words). simple random sampling.
One of the two key assumptions for confidence intervals is that the researcher has used is simple random sampling
The confidence intervals is defined as the the probability that the population parameter will be between the set of values. We can also say that the mean of the estimate plus or minus variation in the estimate
The simple random sampling is defined as the choosing a sample randomly from the population, the probability of choosing any sample in the population will be same
Here, one of the two key assumptions for confidence intervals, so the researches used simple random sampling
Therefore, the method is simple is random sampling
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hi I need help on this!!
Answer:
VOLUME OF THE CYLINDER=πr²h
=3.14×4²×9
=3.14×16×9
=452.16 mm³
1. Henry's little brother still sleeps in a crib at night. The crib is designed so the mattress can
be lowered as his brother gets older. The top and bottom pieces are parallel to one
another.
Currently, his crib is on Level 1 as shown below. If the m <2 is 42°, find the m <4 and m <7.
m<4=138°
m<7 = 42°
The measures of angle 4 (m<4) and angle 7 (m<7) are 42° and 96°, respectively.
To find the measures of angles 4 and 7, we need to apply some geometric principles. Since the top and bottom pieces of the crib are parallel to each other, we can use the property of alternate interior angles.
Angle 4 (m<4) is formed by a transversal (the line connecting the top and bottom pieces of the crib) intersecting two parallel lines. Given that angle m<2 is 42°, we know that angle 4 is congruent to angle 2. Therefore, m<4 = m<2 = 42°.
Angle 7 (m<7) is formed by a transversal intersecting two parallel lines as well. However, in this case, angle 7 is an exterior angle, which is equal to the sum of the two remote interior angles. The remote interior angles are angles 2 and 4. We know that m<2 = 42° (as given) and m<4 = m<2 = 42° (as explained above). Therefore, the sum of angles 2 and 4 is 42° + 42° = 84°. Since angle 7 is an exterior angle, it is equal to 180° minus the sum of the remote interior angles. Thus, m<7 = 180° - 84° = 96°.
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A part of a line that has one endpoint and continues in one direction
Answer:
Ray
Step-by-step explanation:
A ray is a part of a line that has one endpoint and goes on infinitely in only one direction. You cannot measure the length of a ray. A ray is named using its endpoint first, and then any other point on the ray
Urgenteee si la ordenada al origen es negativa significa que la gráfica?
Graph with Numbers
The coordinate plane is a two-dimensional plane that is divided into four quadrants. The upper-right quadrant is known as quadrant one, and the following quadrants go in counter-clockwise order: quadrant two, quadrant three, quadrant four (see image below). Quadrants are typically labeled using Roman numerals (I, II, III, and IV). The coordinate plane is comprised of two axes that are perpendicular lines, meaning when they are joined together, they create four right angles. The x-axis is the horizontal axis, and the y-axis is the vertical axis. The point where the two axes are joined together is called the origin. The coordinates of the origin are (0, 0). This means that the x-coordinate is 0 and the y-coordinate is 0. Ordered pairs are always written in the format (x, y).
The coordinate planeThe coordinate plane has four quadrants, a horizontal x-axis and vertical y-axis, and the origin is the point in the center.
The left side of the x-axis contains negative numbers. Traveling to the left on the coordinate plane indicates the x-value is getting smaller. The right side of the x-axis contains positive numbers. Traveling to the right on the coordinate plane indicates the x-value is getting larger. The upper half of the y-axis contains positive numbers. Traveling upward on the coordinate plane indicates the y-value is getting larger. The lower half of the y-axis contains negative numbers. Traveling downward on the coordinate plane indicates the y-value is getting smaller.
In the following image, point A is graphed on the coordinate plane. The coordinates for point A are (3, 2). This means that the x-value is 3 and the y-value is 2. To graph point A on the coordinate plane, start at the origin and go three spaces to the right (because the x-value, 3, is positive) and two spaces upward (because the y-value, 2, is positive). Since the x-value and y-value are both positive, point A will be in quadrant I.
Graphing the point (3, 2)
In order to graph the point (3, 2), move left three spaces and up two spaces on the coordinate plane.
Select all possible transformations that will land ACTS on tothe image A'C'T'S'
the correct solution is the second choice
A local flower shop sells a dozen roses for $15.48 if each rose cost the same price how much would It cost per rose
couch Emanuel is trying to lose weight. he starts 2017 weighing 296 pounds. If he plans to burn enough calories to lose 3 pounds per week, then how many weeks will pass before Coach Emanuel is at most 251 pounds
Will give brainlist for once in my life
Answer:
15 weeks
Step-by-step explanation:
I just answered this one not too long ago
It will take 15 weeks for Emanuel to lose at most 251 pounds.
What is an equation?An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.
For example, 3x + 5 = 15.
Given that, Emanuel is trying to lose weight, he starts 2017 weighing 296 pounds.
If he plans to burn enough calories to lose 3 pounds per week,
We need to find that how many weeks will pass before Emanuel is at most 251 pounds,
So, let the number of weeks be x,
We will use here the concept of equations solving,
So, establishing the equations,
296 - 3x = 251
296 - 251 = 3x
45 = 3x
x = 15
Hence, it will take 15 weeks for Emanuel to lose at most 251 pounds.
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If each quadrilateral below is a kite, find the missing measures.
Answer:
F and H are both 121 degrees
Step-by-step explanation:
"A kite has 4 interior angles and the sum of these interior angles is 360°. In these angles, it has one pair of opposite angles that are obtuse angles and are equal." - Cue math
Ok, so the two acute angles add up to 118 degrees, and in order to find the remaining angles we need, subtract 118 from 360 to get 242. Because the two obtuse angles are equivalent, divide 242 by 2 to get the measure of each.
a
9. Justin has a balance of $789.34 in his bank
account. These transactions appear on his
bank: -45.75, 145.67, 503, and-782.71.
After adjusting his account register, what is
his new balance?
Answer:
609.55
Step-by-step explanation:
789.34−45.75+145.67+503−782.71=609.55
The bottom part of this block is a rectangular prism. The top part
is a square pyramid. How much paper is needed to completely
cover the block? Explain.
Answer:
Check question number 9 in that file you may be able to understand the problem
Step-by-step explanation:
find the difference between 8n and (3n_6)
Raoul has 72 wristbands and 96 movie passes to put in gift bags. The greatest common factor for the number of wristbands and the number of movie passes is qual to the number of gift bags. Raoul needs to make. Then find how many wristbands and how many movie passes raoul can put in each gift bag if he evenly distributes the items.
Please help I am stuck I am doing work nonstop on all weekends if I don’t get this right and done please help and will give brainlesst for the correct answer
Answer:
Step-by-step explanation:
I do know give me brainliest first
Answer:
24 gift bags
Step-by-step explanation:
Well first the question says to find the GCF and you find that by finding prime factors in each number. Then you would want to subtract 96-72 and get the answer of 24 so you would be able to make 24 gift bags. Hope this helps!!
May I have heart, 5 star, and brainliest please?
In the figure below, two secants are drawn to a circle from exterior point V.
Suppose that VZ=30, VW=45, and VX=22.5. Find XY.
The value of secant XY is 37.5 units.
How to find the value of secant XY?The Secant-Secant Theorem states that "if two secant segments which share an endpoint outside of the circle, the product of one secant segment and its external segment is equal to the product of the other secant segment and its external segment".
Using the theorem above, we can say:
VZ * VW = VX * VY
30 * 45 = 22.5 * VY
22.5VY = 1350
VY = 1350/22.5
VY = 60 units
Since VY = VX + XY. We have:
60 = 22.5 + XY
XY = 60 - 22.5
XY = 37.5 units
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