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Related Questions
Please help very urgent
4.5< √b <4.9
What is the possible value of b
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Consider the following system of equations:
2x + 3y = 45
x + y =10
What is the x-value of the solution for this system?
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find the measure of the angle
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Measure of the Bigger Angle= Measure of Given Angle+Measure of Smaller Angle
Measure of Bigger Angle =Measure of Angle to be Found
Measure of Angle to be Found= Measure of Given Angle + Measure of Smaller Angle
The smaller Angle signifies one quadrant
So, Measure of Smaller Angle = 90°
Measure of Angle to be found=90°+Measure of given Angle
Measure of Angle to be found=90°+55°
Measure of Angle to be found=145°
Answer:145°
What unit would you use to measure a kite string
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Final answer:
To measure a kite string, one would typically use meters or feet, and the most suitable tool for this measurement would be a tape measure.
Explanation:
The unit you would use to measure a kite string is typically a unit of length. When we discuss the measurement of length for everyday objects such as kite strings, we commonly use units like meters, centimeters, or feet. For a kite string, which can be quite long, meters or feet are the most practical units. You would tie the string to the mass (kite) at one end and to the handle or spool at the other, and measure the length, L, of the string. The tool most suitable for measuring such lengths would be a tape measure, as it can be extended along the length of the string and is flexible enough to be used in various situations.
Which figures are familiar?
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You are building a rectangular deck. The area of the deck should be 250ft². You want the length of the deck to be 5 ft longer than twice its width. What should the dimensions of the deck be?
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Then..
(2w+25)*(w-10)=0
and you get the answer of w=10 and l=25
a plane can travel 480 miles per hour with the wind and 440 miles per hour Against the Wind find the speed of the wind and the speed of the plane in still air
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planes speed with wind: 480-x
planes speed against wind: 440+x
set them to equal and solve for x ( wind speed)
480-x = 440 +x
add x to each side:
480 = 440 +2x ( x+x=2x)
480 = 440 +2x
subtract 440 from each side:
40 = 2x
divide both sides by 2
x = 40/2
x = 20
wind speed = 20 miles per hour
speed of plane in still air = 480-20 = 460 miles per hour
Final answer:
The speed of the plane in still air is 460 miles per hour, and the speed of the wind is 20 miles per hour, found by setting up equations using the given speeds with and against the wind and solving them.
Explanation:
The question requires us to find the speed of the wind and the speed of the plane in still air based on the given speeds of the plane traveling with and against the wind. The speed of the plane with the wind is 480 miles per hour, and against the wind is 440 miles per hour. We can use these values to set up two equations:
The plane's speed in still air plus the wind's speed equals 480 mph.
The plane's speed in still air minus the wind's speed equals 440 mph.
Let's denote P as the plane's speed in still air and W as the wind's speed. We can establish two equations based on the aforementioned points:
1. P + W = 480
2. P - W = 440
To find P and W, we add the two equations together:
(P + W) + (P - W) = 480 + 440
2P = 920
P = 920 / 2
P = 460 mph
Now that we have the plane's speed in still air, we can find the wind's speed using either of the original equations:
460 + W = 480
W = 480 - 460
W = 20 mph
Therefore, the speed of the plane in still air is 460 miles per hour and the speed of the wind is 20 miles per hour.
Expand the binomial (2x + y^2)^5.
The fourth term in the expansion of the binomial (2x + y^2)^5 is _____
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= 32x∧5 +80x∧4y² + 80x∧3y∧4 + 40x²y∧6 + 10xy∧8 + y∧10
The fourth term of the binomial expansion (2x + y^2)^5 is 40x²y∧6
Please answer and explain
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a= one leg
b= other leg
c= hypotenuse
a^2 + b^2= c^2
plug in known numbers
(3)^2 + (2)^2= c^2
9 + 4= c^2
13= c^2
take the square root of both sides
√13= c
13 is not a perfect square
ANSWER: (C) √13 cm
________________
BOTTOM QUESTION:
a= one leg
b= other leg
c= hypotenuse
a^2 + b^2= c^2
plug in known numbers
(6)^2 + (10)^2= c^2
36 + 100= c^2
136= c^2
take square root of both sides
√136= c
136 is not a perfect square
ANSWER: (D) √136 ft
Hope this helps! :)
Which of the following describes the translation of the graph of y = x2 to obtain the graph of y = -x2 + 3?
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f(x - q) - right q units
f(x) + q - up q units
f(x) - q - down q units
-f(x) - symmetry with respect to the x--xaxis
f(-x) - symmetry with respect to the y-axis
y = - x² + 3 = -(x² - 3)
3 units down and next symmetry with respect to the x axis.
Look at the picture.
You visit two websites about inventions of the 21st century. One has .edu in the URL address and the other has .com. Which site is more likely to be credible and why? (6 points) The .edu site is more likely to be credible because all .com sites are trying to sell you something. The .edu site is more likely to be credible because its domain is a university or other school type. The .com site is more likely to be credible because all .edu sites are personal college student blogs. The .com site is more likely to be credible because its owners review all the content before publishing.
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Niona needs $50 to go on a school trip. She sells necklaces for $15 each and bracelets for $5 each. If she raises the money by selling half as many necklaces as bracelets, how many necklaces and bracelets does she sell? Write a system of linear equations that represent this problem.
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To solve the problem, create a system of linear equations representing the sale of necklaces and bracelets. The two equations will be 15n + 5b = 50 and n = 0.5b, which describe the total funds raised and the relationship between the number of necklaces and bracelets sold.
Explanation:Niona is trying to raise $50 for her school trip by selling necklaces and bracelets. We need to establish a system of linear equations to represent the problem. Let's define n as the number of necklaces and b as the number of bracelets. According to the problem, Niona sells necklaces for $15 each and bracelets for $5 each, and she sells half as many necklaces as bracelets.
Therefore, we can write the first equation based on the total amount of money raised:
15n + 5b = 50
And the second equation based on the relationship between the number of necklaces and bracelets:
n = 0.5b
Solving this system will give us the number of necklaces and bracelets Niona needs to sell to raise $50 for her trip.
The steps below show the incomplete solution to find the value of x for the equation
5x − 2x − 3 = −2 + 15:
Step 1: 5x − 2x − 3 = −2 + 15
Step 2: 5x − 2x − 3 = 13
Step 3: 3x − 3 = 13
Which of these is most likely the next step?
3x = 16
3x = 10
3x = 39
3x = 3
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The next step will be to add 3 to both sides:
3x - 3 + 3 = 13 + 3
⇒ 3x = 16
Answer: 3x = 16
Write the equation of the line with the following characteristics.A horizontal line through the point (0,3)
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Because we have been asked to write the equation of a line, we will need to give the answer in slope-intercept form. Slope-intercept form uses the following formula:
y = mx + b
In the above formula, M represents the slope while B represents the y-intercept. We are asked to write the equation of a horizontal line that passes through the given point. Horizontal lines have a slope of zero (0), so we’ll begin by inserting this value into the slope-intercept formula:
y = (0)x + b
Now simplify the right side of the equation:
y = b
Now we must find the y-intercept of the line in question. We are given that it passes through point (0,3). We know that any point taking the form (0,y) lies on the y-axis and, consequently, can be classified as a y-intercept. Therefore, the y-intercept of the given line must be 3. Insert this value into the simplified equation above:
y = b
y = (3)
We have now proven that the equation of the given line is (y = 3).
I hope this helps!
A circular plate has circumference 29.5 inches. What is the area of this plate? Use 3.14 for pi.
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C = 2 pi r
In this case, we are provided with C, but not r, so we must make r the subject
29.5 = 2 x 3.14 x r
Divide by 2 x 3.14 to get r by itself
r = 4.69745.... (don't round off yet!)
Now that we found r, let's use the formula for the area of a circle,
A = pi r^2
= 3.14 x (4.69745...)^2
= 69.3 in^2 (1 dp)
Hope this helped!
Final answer:
To find the area of a circular plate with a given circumference, use the formula A = πr², where A is the area and r is the radius. Set up the equation for the circumference of the plate and solve for the radius. Then, plug the radius into the formula for the area. This gives the area as 69.07 inches².
Explanation:
To find the area of a circular plate, we can use the formula A = πr², where A is the area and r is the radius. In this case, the circumference of the plate is given as 29.5 inches. We know that the circumference of a circle is equal to 2πr, so we can set up the equation 29.5 = 2πr to solve for the radius.
Dividing both sides of the equation by 2π, we get r = 29.5 / (2π). Using the value of π as 3.14, we can calculate the radius as r ≈ 4.69 inches. Now we can plug this value into the formula for the area: A = 3.14 × (4.69)². Evaluating this expression gives us the area of the circular plate as A ≈ 69.07 inches².
What is the Value of Y?
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Since we know that one of the angles is 72° and the other two angles are the same..
We can subtract 72° from 180°
180°-72°=108°
Divide the result by 2
108°/2=54°
So the best answer would be B.54°
I hope this helps :)
The hypotenuse of a right triangle is 12, and one of the legs is 4. Find the length of the missing length to the nearest hundred. Please help! ☺️ 25 points!
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If c is the hypotenuse of right triangle and a and b are of the legs then:
a² + b² = c².
We have:
a = 4; c= 12
substitute
[tex]4^2+b^2=12^2\\\\16+b^2=144\ \ \ |-16\\\\b^2=128\to b=\sqrt{128}\\\\b=\sqrt{64\cdot2}\\\\b=\sqrt{64}\cdot\sqrt2\\\\\boxed{b=8\sqrt2\approx11.31}[/tex]
given a mean of 7.6 and a standard deviation of 3.1 what is the z-score of the value 10 rounded to the nearest tenth ?
A)0.8
B)0.9
C)1.7
D)5.7
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========================================================
Work Shown:
mean = mu = 7.6
standard deviation = sigma = 3.1
x = 10 is the raw score
Use those values to find the z score
z = (x-mu)/sigma
z = (10-7.6)/3.1
z = 2.4/3.1
z = 0.7741935483871
z = 0.8 (approximate answer to the nearest tenth, ie one decimal place)
What is the value of x?
sin(x+21)°=cos(2x+21)°
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if sin A=cos B
then
angle A and angle B are complementary angles
so
A+B=90°
in this problem
(x+21)+(2x+21)=90-------> 3x+42=90-------> 3x=48-----> x=16°
What number should be subtracted from both sides of the following equation to solve for g?
g + 18.75 = 25
43.75
25
18.75
6.25
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Answer:
18.75
Step-by-step explanation:
Cjhoward1, it isn't nice to call someone a nerd. I mean, sure a nerd is a smart person who really cares about school but it has a bad connotation and isn't the nicest thing to say to someone. If you meant it in a good way, then please accept my apologies but other ways I think you should think twice before you say something like that. And if you did think twice maybe you should think 3 times before you say something. It can be really mean. You may not notice it but it can hurt peoples feelings. Anyway. Have a good day!
Whenever you see ______ it is a blank spot where I need to fill in information.
An employee at a state park has 43 photos of animals found at the park. She wants to arrange the photos in rows so that every row except the bottom row has the same number of photos. She also wants there to be at least 4 rows.
Complete the description of two different ways she can arrange the photos.
She can arrange the photos as
______ rows of 10 photos and 1 row of ______
photos or arrange the photos as ______
rows of 8 photos and 1 row of ______
photos.
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Can you solve 5a please greatly appreciated.
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The module of vector AB is given by:
lABl = root ((- 3) ^ 2 + (4) ^ 2)
lABl = root (9 + 16)
lABl = root (25)
lABl = 5
Part (ii)
The module of the EF vector is given by:
lEFl = root ((5) ^ 2 + (e) ^ 2)
We have to:
lEFl = 3lABl
Thus:
root ((5) ^ 2 + (e) ^ 2) = 3 * (5)
root ((5) ^ 2 + (e) ^ 2) = 15
Clearing e have:
(5) ^ 2 + (e) ^ 2 = 15 ^ 2
(e) ^ 2 = 15 ^ 2 - 5 ^ 2
e = root (200)
e = root (2 * 100)
e = 10 * root (2)
SOME ONE PLEASE HELP
Choose the correct simplification of the expression (7m3 n)2.
A.14m5n3
B.14m6n2
C.49m5n3
D. 49m6n2
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the expression (7*m³*n)²
we know that
(7*m³* n)²---------> (7)²*(m³)²* (n)²-----> (7²)*[(m)^(2*3)]* (n²)----> 49*[m^6]*n²
the answer is the option
D. 49m6n2
1. Using the formula for the probability of one event or another event, calculate the probability of drawing a card from a standard deck that is either a jack or a club. Write out the formula and show your work. Write the final answer as a fraction in simplified form. (10 points)
Bonus question for extra credit: What is the probability of drawing two cards from a deck, without replacing the first card, and either getting two red cards or two aces? Hint: the probability of getting two aces is the probability of the first card being an ace, times the probability of the second card being a different ace. Show your work, and write your answer as a fraction in reduced form.
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A standard deck has 4 jacks.
A standard deck has 13 clubs.
From this, we can derive the following:
The probability of drawing a jack is 4/52 or 1/13
The probability of drawing a club is 13/52 or 1/4
But since the problem asks for drawing jack or club, therefore we should add the 2 probabilities, making 17/52. This is not the final answer yet. We know that there is a jack of clubs, therefore we need to subtract 1 from the probabilities since jack of clubs were considered in the 2 categories of probability.
With that being said, the probability of drawing a club or a jack is 16/52 or 4/13
Bonus Question:
The first thing you need to do here is find the probability of each scenario. First let's do what is given, the probability of drawing 2 aces. Since there are 4 aces in a deck of 52, we can easily say that the probability of drawing an ace is 4/52. However for our second draw, the probability of drawing a different ace is 3/51. This is so since we already drew a card that is an ace, hence we need to subtract one from the total aces (4-1) and from the total cards in the deck (52-1). In getting the probability of drawing two aces, we need to multiply the said probabilities: 4/52 and 3/51, resulting to 1/221.
For the second scenario, the drawing of 2 red cards, we just use the same concept but in this, we are already considering the 2 red cards in the first scenario, therefore the chance of drawing a red on our first draw is 24/52. For our second, we just need to subtract one card, therefore 23/51. Multiply these two and we will get 46/221.
Now, the problem asks for the chance of drawing either 2 reds or 2 aces, therefore we add the probabilities of the 2 scenarios:
46/222 + 1/221 = 47/221
Summary:
First Scenario:
4/52 + 3/51 = 1/221
Second Scenario:
24/52 + 23/51 = 46/221
Chances of drawing 2 red cards or 2 aces:
1/221 + 46/221 = 47/221
i need help please !!
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I REALLY NEED HELP!!!!!!!!!!
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C= 2(3.14)(24)
C= (6.28)(24)
C= 150.72 inches
ANSWER: If we round up, the estimated circumference is 151 inches.
Hope this helps! :)
[tex]\pi \times d[/tex]
where d is diamter. The problem provides the radius. So, to find the radius, all you have to do is multiply it by 2, since a radius is half of the diameter. Then, multiply it by 3.14. You will get 150.72. This rounds to 151.
What is the median of the data set? {17, 40, 23, 44, 44, 30} Enter your answer in the box.
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{17, 23, 30, 40, 44, 44}
Then we begin by crossing one off from each side, until we get to the middle. However, we see that our middle here is both 30 and 40.
What we do in a case like this is add up the two numbers and divide by 2 (essentially find the mean of the two middlemost numbers). Let's do that now:
[tex]30+40=70[/tex]
[tex] \frac{70}{2}=35 [/tex]
So now we know that the median of the set of data is 35.
Answer:
35
Step-by-step explanation:
A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation. x + y = 24 3x + 5y = 100 What does the solution of this system indicate about the questions on the test? The test contains 4 three-point questions and 20 five-point questions. The test contains 10 three-point questions and 14 five-point questions. The test contains 14 three-point questions and 10 five-point questions. The test contains 20 three-point questions and 8 five-point questions.
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y= # 5-point questions
QUANTITY EQUATION:
x + y= 24
VALUE EQUATION:
3x + 5y= 100
If we solved these two equations by elimination or substitution, we find x and y. I'm going to solve by elimination.
STEP 1:
multiply the quantity equation by -3 to eliminate the x variable and solve for y.
-3(x + y)= -3(24)
-3x - 3y= -72
STEP 2:
add the value equation and the step 1 equation together to eliminate the x term and solve for y.
3x + 5y= 100
-3x - 3y= -72
the x term is eliminated
2y= 28
divide both sides by 2
y= 14 5-point questions
STEP 3:
substitute the y value into either original equation
x + y= 24
x + 14= 24
subtract both sides by 14
x= 10 3-point questions
ANSWER: The test contains 10 3-point questions and 14 5-point questions.
Hope this helps! :)
a day care center charges a $75 enrollment fee plus $100 per week which of the following represents the cost of sending a child to daycare for 14 weeks?
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Answer:
cost of sending a child to daycare for 14 weeks is $1475
Step-by-step explanation:
a day care center charges a $75 enrollment fee plus $100 per week
LEt x be the number of weeks
cost of sending a child to day care = 100x + 75
To find the cost for 14 weeks, we plug in 14 for x
cost = 100(14) + 75= 1400+75 = 1475
cost of sending a child to daycare for 14 weeks is $1475
You are given the following list of values: 5.8, 6.1, 4.9, 10.9, 0.8, 6.1, 7.4, 10.2, 1.1, 5.2, 5.9 Which values are outliers?
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Upper fence- (7.4)+1.5(2.5)= 11.15
Lower fence- (4.9)-1.5(2.5)= -1.15
Make sure your values are in the right order so you can see what numbers are below or above the Upper and lower fences. There are no outliers.