On the number line below, lengthAB = [?]AB1645
Answers
We are to find the length of AB on the number line;
The point A is on position 16 and point B is on position 45.
Therefore, the length of segment AB is therefore;
45-16 = 29.
Therefore, AB length is 29
![On The Number Line Below, LengthAB = [?]AB1645](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/0z2eII8EAPygEB7TjwSNsJ7PnlonhyCj.png)
Related Questions
Identify equations from visual models (hanger
The hanger image below represents a balanced equation.
р
p
р
Write an equation to represent the image.
Answers
Answer: 3p=1/2
Just do it right now
1/6 x 1/6 whats the answer
Answers
Answer:
1/36
Step-by-step explanation:
What is 1% of 3,098?
Answers
Answer:
30.98
Step-by-step explanation:
Answer:
30.98
Step-by-step explanation:
What is the range of function g if g(x)=-2f(x)+1
Answers
The range of g is bounded between 1 - 2M and 1, but it may not include all values in that interval, depending on the range of f.
The range of function g depends on the range of the function f.
Let's start by assuming that we know the range of f.
If the range of f is Rf, then the range of -2f is the set {-2y | y ∈ Rf}, which is just the set of all numbers that can be obtained by multiplying an element of Rf by -2.
Finally, we add 1 to each of these values to get the range of g. Therefore, the range of g is:
Rg = {1 - 2y | y ∈ Rf}
In other words, the range of g is obtained by taking the range of f, multiplying each element by -2, and adding 1 to each result.
If we don't know the range of f, we can still say something about the range of g. Specifically, we know that g(x) can never be greater than 1 (since the largest value that -2f(x) can take is 0, and adding 1 to 0 gives us 1), and g(x) can never be less than 1 - 2M, where M is the largest possible value that f(x) can take on. In other words, the range of g is bounded between 1 - 2M and 1, but it may not include all values in that interval, depending on the range of f.
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What is the equation of the circle with center (0,0) that passes through the point (-6,-6)? need answers right now
O(x+6)² + (y+6)² = 72
0x² + y² = 0
O x² + y² = 72
○(x+6)² + (y+6)² = 0
Answers
The correct equation of the circle with center (0,0) that passes through the point (-6,-6) is:
(x + 6)² + (y + 6)² = 72
Please note that the equation represents the circle with center (0,0) and radius √72.\(\)
Answer:
The equation of a circle with center (0,0) that passes through the point (-6,-6) is:
(x - 0)² + (y - 0)² = r²
where r is the radius of the circle. Since the center of the circle is (0,0), we can use the distance formula to find the radius:
r = √(0 - (-6))² + (0 - (-6))² = √(6² + 6²) = √72
Therefore, the equation of the circle is:
x² + y² = 72
Brainliest to the correct answer :)
Answers
Answer:
Assume that the formula is true for the (k+1)term
Step-by-step explanation:
I learned this in class a couple weeks ago in intermediate algebra
a. NewBank started its first day of operations with $155 million in capital. A total of $92 million in checkable deposits is received. The bank makes a $28 million commercial loan and lends another $23 million in mortgage loans. If required reserves are 5.4%, what does the bank balance sheet look like?
b. Suppose NewBank decides to invest $273 million in 30-day T-bills. The T-bills are currently trading at $4,981 (including commissions) for a $4,940 face value instrument. How many T-bills do they purchase? What does the balance sheet look like?
Answers
The balance sheet attached shows the Total Assets to be $55.968M and Total Liabilities and Capital to be $252M respectively.
Understanding Balance Sheet1. Assets:
a. Cash in Reserves:
The required reserves are 5.4% of checkable deposits.
Therefore, the required reserves amount to 5.4% of $92 million, which is:
(0.054 * $92 million) = $4.968 million.
This amount is considered a liability for the bank, but it is held as an asset in the form of cash reserves.
b. Loans: The bank made a $28 million commercial loan and a $23 million mortgage loan. Therefore, the total loans amount to:
total loan = $28 million + $23 million
= $51 million.
2. Liabilities:
a. Checkable Deposits:
The bank received $92 million in checkable deposits.
b. Required Reserves:
As mentioned above, the required reserves amount to $4.968 million.
3. Capital:
The bank started with $155 million in capital.
Based on the above information, the bank's balance sheet would look as attached.
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Find the measure of < 6.
Answers
Answer:
Angle 6 = 70
Step-by-step explanation: Using vertical angles if you look across from angle 6 you would see the angle of 70 degrees which means they are equal because they're across from each other.
alg 2 - transformations of functions. need asap
(brainliest + 15 pts)
Answers
Answer:
\(y = f(x - 1) + 2\)
Step-by-step explanation:
Let's say that the dotted graph is y.
See f(3) = 0 or (3,0). Let's call that the point of interest. Notice that our point of interest has to move to the right by 1 unit to get to the dotted graph. so
\(y = f(x - 1)\)
And it has to go up by two units so
\(y = f(x - 2) + 2\)
Solve the system of equations. \begin{aligned} & -10x+3y = 5 \\\\ & x=y-4 \end{aligned} −10x+3y=5 x=y−4
Answers
Answer:
x = 1
y = 5
Step-by-step explanation:
You can use either substitution or elimination for this problem. I will use substitution.
Step 1: Replace x in the 1st equation
-10(y-4) + 3y = 5
-10y + 40 + 3y = 5
-7y = -35
y = 5
Step 2: Plug y into an original equation to find x
x = 5 - 4
x = 1
And you have your final answers!
Answer:
x = 1
Step-by-step explanation:
y = 5
Find the solutions to the equation sqr3 sin x/2
+ cos x = 1 if 0º< < 360°. Check all that apply.
Edge 2020
Answers
Answer:
0 degrees
120 degrees
240 degrees
Step-by-step explanation:
The solutions to the equation √3sin(x/2) + cos(x) = 1, for 0º < x < 360°, are x = 0°, 120°, and 240°.
The given equation is √3sin(x/2) + cos(x) = 1.
Rearrange the equation to isolate the term with sin(x/2):
√3sin(x/2) = 1 - cos(x)
Square both sides of the equation to eliminate the square root:
3sin²(x/2) = (1 - cos(x))²
Apply the trigonometric identity sin²(x/2) = (1 - cos(x))/2:
3(1 - cos(x))/2 = (1 - cos(x))²
Multiply both sides by 2 to remove the fraction:
3(1 - cos(x)) = 2(1 - cos(x))²
Expand the square on the right side:
3 - 3cos(x) = 2(1 - 2cos(x) + cos²(x))
Simplify and rearrange the equation:
3 - 3cos(x) = 2 - 4cos(x) + 2cos²(x)
Combine like terms:
2cos²(x) - cos(x) - 1 = 0
Factor the quadratic equation:
(2cos(x) + 1)(cos(x) - 1) = 0
we can solve for x by setting each factor equal to zero:
2cos(x) + 1 = 0:
cos(x) = -1/2
x = 120°, 240° (in the range 0° < x < 360°)
cos(x) - 1 = 0:
cos(x) = 1
x = 0° (in the range 0° < x < 360°)
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Solve this inequality for n.
14< n - 22
thanks ^^
Answers
Answer:
n = 36
Step-by-step explanation:
First, isolate the variable. Then, use the opposite operations to manipulate the inequality, whatever you do to one side you must to do the other, solve the right side to find your variable.
n - 22 + 22 < 14 + 22
n = 36
Change 8.94 into a fraction
Answers
Answer:
447 / 50
Step-by-step explanation:
447 / 50 Because if you divide it you will get 8.94 same answer
Answer:
inproper fraction would be 447/50 but the proper fraction would be 8 47/50
5/7−(−1/7) please answer fast I need iittt
Answers
Answer: \(\frac{6}{7}\)
Step-by-step explanation:
\(\frac{5}{7}-\left(-\frac{1}{7}\right)\)
Once you take off the parenthesis, your sign should change from negative to positive.
\(\frac{5}{7}-\left(-\frac{1}{7}\right)=\frac{5}{7}+\frac{1}{7}\\\\\frac{5}{7}+\frac{1}{7}\)
The fractions now both have the same denominator. Thus, we can add the numerators.
\(\frac{5+1}{7}\\\\5+1\\\\6=\frac{6}{7}\)
Therefore, \(\frac{5}{7}-\left(-\frac{1}{7}\right)=\frac{6}{7}\)
sketch the graph of y= 2 | x - 3 | + 7
Answers
Step-by-step explanation:
I suppose that your graph is supposed to be like this
Hope this is correct and helpful
HAVE A GOOD DAY!
Hector is visiting a cousin who lives 360 miles away. He has driven 70 miles. How many more miles does he need to drive to reach his cousin's home? Let d be how many miles left to reach his cousin's home.
Answers
Answer:
260 miles.
Step-by-step explanation:
350-90=260
If you see the word difference in an equation, it means to subtract. :) hope that helps
Write the expression as a number in scientific notation.
(5 x 10^2)(4.2 x 10^4)/6 x 10^3
Answers
I haven’t done this in a while but… I believe this is right
5 time 4.2= 21
And 10^2 times 10^4 is 10^6
So 21 x 10^6/6x10^3
21/6 is 3.5 and 10^6/10^3 is basically 10^6-3
So it would be
3.5 x 10^3
how do you find the y intercept on a table
Answers
Answer:
y-intercept is 10. The y-intercept is where the line crosses with the y-axis line. The y-axis line is when x = 0.
What is 5x6 + (5x5-5) to the 2nd power
Answers
Answer: 2500
Step-by-step explanation: If you calculate out 5x6 that equals 30 and 5x5-5 equals 20, when you do 30+20 that equals 50 and 50 to the 2nd power is 50x50 and that would equal 2500
In the figure below, the triangles are similar. Find the ratio of their areas from larger to smaller.
Answers
21:14=x:8
x=21•8/14
x=168/14
x=12
x=base of triangle
A2=h•b/2
21^2=6^2+h^2
441=36+h^2
h^2=441-36
h^2=405
h= √405
h=20.12
A1=12•20.12/2
A1=6•20.12
A1=120.72
Area of smallest triangle is A2
A2=b•h/2
h=?
14^2=4^2+h^2
196=16+h^2
h^2=196-16
h^2=180
h= √180
h=13.42
A2=8•13.42/2
A2=4•13.42
A2=53.68
Ratio 120.72:53.68
Ratio=2.25
3 folders cost $2.91 dollar sign . Which equation would help determine the cost of 2 folders? WRITE THE LETTER IN THE SPACE BELOW.
Answers
Answer:
$1.94
Step-by-step explanation:
Cost of 3 folders = $2.91
We need to find the cost of 2 folders.
First we will find the cost of 1 folder
1 folder = $2.91/3 = $0.97
To find the cost of 2 folders, multiply $0.97 and 2
2 folders = $0.97 × 2
= $1.94
Hence, the cost of 2 olders is $1.94.
A circle has a radius of 30 cm and a central angle that measures 312 degrees. Find the length of the arc defined by this central angle
Answers
The length of the arc defined by the central angle of 312 degrees is 26π cm.
The formula for the arc length of a circle is given by:
L = (θ/360) × 2πr
where L is the length of the arc, θ is the central angle in degrees, and r is the radius of the circle.
Substituting the given values, we get:
L = (312/360) × 2π(30)
L = (26/30) × π × 30
L = 26π cm
Therefore, the length of the arc defined by the central angle of 312 degrees is 26π cm.
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Question
The product of two consecutive positive integers is 42. Find the integers.
Answers
Let x be the first integer.
Let (x + 1) be the next, consecutive integer.
Let P be the product.
P = x(x+1)
42 = x(x+1)
42 = x^2 + 1x
0 = x^2 + 1x -42
-6 times 7 = -42
-6 + 7 = 1
0 = (x + 7)(x -6)
x = -7 (inadmissible, integer has to be positive)
x = 6 (zero principle)
Next consecutive integer: 6 + 1 = 7
The integers are 6 and 7!
Please Help ASAP
What is the equation of the line in slope-intercept form?
Line on a coordinate plane. The line runs through points begin ordered pair negative 2 comma 0 end ordered pair and begin ordered pair 0 comma 5 end ordered pair.
Enter your answer in the boxes.
y =
x +
$\text{Basic}$
Answers
Answer:
y=5/2x+5
Step-by-step explanation:
Slope intercept form is y=mx+b
m is the slope, and b is the y intercept
FIrst we have to find the slope which is rise/run
Since our points are (-2,0) and (0,5) the equation will be:
5-0/0-(-2)
5/2
The slope is 5/2
Next we have to plug in 5/2 for m:
y=5/2x+b
We know that the y intercept is 5 from the coordinate (0,5)
y=5/2x+5
Answer:
y is 5/2 and x is 5
Step-by-step explanation:
i just know it already x3
Zoo's Victoria is building a new enclosure for one of their Gorilla's. They have two Gorilla in the one space and they are fighting and causing injury to each other.
The zoo obtained two quotes from the JKL Builders.
Quote 1- $535,000 with everything manual
Quote 2- $640,000 with all of the doors and feeders automated and extra platforms
They have decided to go with Quote 2. They already have grants and sponsorship for $450,000 and are planning a fundraiser for the rest.
In the box below write your answers
a. How much do they need to raise?
Answers
Answer:
The zoo needs to raise $190,000 to fund the construction of the new enclosure.
Step-by-step explanation:
The total cost of Quote 2 is $640,000, and the zoo already has grants and sponsorship of $450,000. Therefore, they need to raise the remaining amount:
$640,000 - $450,000 = $190,000
The zoo needs to raise $190,000 to fund the construction of the new enclosure.
The lengths of the legs of a right triangle are 5 centimeters and 10 centimeters. Which of the following measures is closest to the length of the hypotenuse?
Answers
Hey there!
The length of the hypotenuse is about 11 centimeters.
To solve this, we use the formula \(a^2+b^2=c^2\), where \(c\) is the hypotenuse leg and \(a\) and \(b\) are the other sides. So we can plug the numbers in to the formula:
\(5^2 + 10^2 = c^2\)
Now we get the squares of 5 and 10:
\(25 + 100 = c^2\)
Add 25 and 100:
\(125 = c^2\)
Take the square root from both sides:
\(11.18033... = c\)
The length of the hypotenuse is about 11 centimeters.
Hope it helps and have an amazing day!
The length of Hypotenuse = 11.18 cm
What is Pythagoras Theorem?In mathematics, the Pythagoras theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.
Given,
In right angle ΔABC
AB = 5 cm
BC = 10 cm
AC = ?
By the Pythagoras theorem,
AC² = AB² + BC²
AC² = 5² + 10²
AC² = 25 + 125
AC = √125 = 11.18
Hence, 11.18 cm is the length of Hypotenuse AC .
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plzzzzz help me is for mathhhh
Answers
A survey asked people whether their pets are picky eaters. For theseresults, are being a picky eater and being a dog independent ordependent events? Justify your answer.PickyNot picky TotalCats111425Dogs61925Total173350A. Independent;P(picky) = 34%P(doglpicky) = 35%Since these probabilities are nearly equal, the events areindependent.B. Dependent;P(picky) = 34%P(pickyldog) = 24%Since these probabilities are not equal, the events aredependent.c. Dependent;P(picky) = 34%P(doglpicky) = 35%Since these probabilities are not equal, the events aredependent
Answers
Given:
The data table of the survey of pets is given.
Required:
Find results, are being a picky eater and being a dog with independent or dependent events.
Explanation:
The total number of pets = 50
The number of picky eater pets = 17
The probability of an event is given by the formula:
\(P=\frac{number\text{ of possible outcomes}}{Total\text{ number of outcomes}}\)The probability of randomly choosing a picky eater is:
\(\begin{gathered} P(picky)=\frac{17}{50} \\ P(picky)=0.34 \\ P(picky)=34\% \end{gathered}\)The total number of dogs = 25
The number of picky eater cats = 6
The probability of a picky eater dog
\(\begin{gathered} P(picky\text{ \mid cat \rparen=}\frac{6}{25} \\ P(picky\text{ \mid cat \rparen=0.24} \\ P(picky\text{ \mid cat \rparen=24}\% \end{gathered}\)We notice that both results are different. The fact that the pet selected is a dog changes the probability of P(picky).
This means the events are dependent.
Final Answer:
Option B is the correct answer.
Enter
A bottle contains 4 1/2 cups of juice. One serving of the juice
is 2/3 cup. How many servings are in the bottle?
Answers
Answer:
6.75 servings.
Step-by-step explanation:
Solve 5+ 4.7 (21 + 3x) = 41