PLEASE HELP!!!!!!!!
Whats the value of m?
0.61m-1.51m=9
m=
find the quotient -22s^4t-8st/2st
If (x2 – 4) ÷ (x + 2) = x – 2, which polynomial should fill in the blank below?
(x + 2) ´ ______ = x2 – 4
A.x2 – 4
B.x – 2
C. x + 2
D. x2 – 2
Answer:
Step-by-step explanation:
Alright, lets get started.
Given that:
[tex]\frac{(x^2-4)}{(x+2)}=(x-2)[/tex]
(x-2) could be written as [tex]\frac{x-2}{1}[/tex]
[tex]\frac{(x^2-4)}{(x+2)}=\frac{(x-2)}{1}[/tex]
Doing cross multiply
[tex](x+2)(x-2)=(x^2-4)*1[/tex]
[tex](x+2)(x-2)=(x^2-4)[/tex]
It means the blank part is (x-2) : Answer
Hope it will help :)
how much longer is 1 inch than 3/8 inch?
Answer: 5/8 inch longer than 3/8 inch
Step-by-step explanation: Each whole number, and also one inch, can be represented as a fraction. Thus one inch can be displayed as 4/4 or 5/5, or as our case can be 8/8. This means that every whole number, even one inch, can have as many parts as possible in a fraction, which depends on what type of fraction is displayed. Thus, one inch can have a maximum of 8/8 or 6/6, etc.
To determine how much one inch is longer than 3/8 inch, we will display one inch as 8/8 inches and reduce 3/8 inch from it.
The result is 8/8 - 3/8 = 5/8 inch. So one inch is 5/8 inch longer than 3/8 inch.
Find the vertex and the axis of symmetry of the graph of f(x)=3(x+1)^2
Find the solutions to the given system of equations
x^2+y^2=15 and y= -x - 6
A. No solution
B. (-2,5)
C. (-1,-2) and (5, -5)
D. (-1,2) and (2,-11)
9x^2+3x - 35=y and 3x-1=y
A. (-2,5)
B. (2,7)
C. (2,7) and (-2,-5)
D. (2,-5) and (-2,-5)
Three friends have some ribbon.carol has 42 inches of ribbon,tino has 2.5 feet of ribbon,and baxter has 1.5 yards of ribbon.express the total length of ribbon the three friends have in inches,feet and yards
Xavier is designing a display for a bulletin board that is 3.5 feet wide. he wants to place a 14-inch-wide poster in the center of the bulletin board. how many inches of space remain on either side of the poster?
CAN SOMEONE HELP ASAP!! Please!
Please help me thank you very much.
In this diagram, which equation could you prove to be true in order to conclude that the lines are parallel?
b/a⋅c/d=−1
b/a=c/d
b/a=d/c
b/a⋅d/c=−1
Maria wants too convert 500 centimeters to meters how many meters does she have ?
Final answer:
Maria can convert 500 centimeters to meters by dividing by 100. So, she would end up with 5 meters since each meter contains 100 centimeters.
Explanation:
Maria wants to convert 500 centimeters to meters to determine how many meters she has. Conversion between centimeters and meters is a common mathematical process. Since there are 100 centimeters in a meter, Maria needs to divide the number of centimeters by 100 to get the measurement in meters. So, she would calculate 500 cm ÷ 100, which equals 5 meters.
To visualize this, imagine you have a ruler that measures in centimeters. If you laid out rulers end to end until you reached 500 centimeters, you would have the equivalent length of 5 meters because every 100 centimeters make up 1 meter.
Example:
If we had 200 cm, we would divide by 100 and find that 200 cm equals 2 m. Comparing this to a meter stick, which measures 1 meter, we can see that 200 cm is greater than 1 m and would require using the meter stick twice to measure the entire length.
Solve the subtraction problem 8/9 -3/4
Use the given property to complete the statement. Transitive Property of Congruence If Angle X Y Z is congruent to angle A O B and Angle A O B is congruent to angle W Y T, then A. Angle W Y T is congruent to angle A O B B. Angle A O B is congruent to angle A O B C. Angle X Y Z is congruent to angle W Y T D. Angle A O B is congruent to angle X Y Z
When two straight lines or rays intersect at a shared endpoint, an angle is generated. The correct option is C, ∠XYZ ≅ ∠WYT.
What is an angle?When two straight lines or rays intersect at a shared endpoint, an angle is generated. An angle's vertex is the common point of contact. Angle is derived from the Latin word angulus, which means "corner."
Given that Angle XYZ is congruent to angle AOB, therefore, we can write,
∠XYZ ≅ ∠AOB
Also, it is mentioned that Angle AOB is congruent to angle WYT, Therefore, we can write,
∠AOB ≅ ∠WYT
Now, we can write the two congruency together as,
∠XYZ ≅ ∠AOB ≅ ∠WYT
∠XYZ ≅ ∠WYT
Hence, the correct option is C, ∠XYZ ≅ ∠WYT.
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Write the following question expression in simplest binomial form 4(3x-2)-2(4x+5)
The expression 4(3x-2)-2(4x+5) in it's simplest binomial form is 4x - 18.
What are the types of algebraic expressions?We can classify algebraic expressions in terms of how many terms they have. If an algebraic expression has only one term we call it a monomial, having two terms makes it a binomial and having more than two terms makes it a polynomial
We know a binomial consists of two terms separated by any of the arithmetic operations.
Given, 4(3x-2)-2(4x+5).
First, we will distribute the terms.
= 12x - 8 - 8x - 10.
= 4x - 18.
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If the number 659983 is rounded to the nearest hundred how many zeros does the rounded number have
Name a line that contains point A
The line which contains point A is line l.
What is coordinate geometry?Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.
Now from the given diagram, lines l and m lie in plane P.
And the point lies on the line l are A, B and C.
The point lies on the line m are B and D.
Point E lies in plane P.
Thus, the line which contains point A is line l.
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Combine like terms to make a simpler expression:
5k+(−2k)−(−1)
What are the x-intercepts of the graph of the function f(x)=x2-16x+64
To find the x-intercepts of the function f(x) = x^2 - 16x + 64, we set f(x) to zero and solve for x. The quadratic factors to (x - 8)^2 = 0, revealing that the graph has a single x-intercept at x = 8.
Explanation:To determine the x-intercepts of the graph of the function f(x) = x^2 - 16x + 64, we need to find the values of x for which f(x) equals zero. This involves solving the quadratic equation, x^2 - 16x + 64 = 0.
One approach is to factor this equation if possible. Another approach is to use the quadratic formula.
The given quadratic equation can be factored as (x - 8)^2 = 0.
Therefore, the only solution to this equation is x = 8, which means the graph of the function touches the x-axis at this point and has a vertex at (8, 0), making the x-intercept of the graph equal to 8.
The factored form indicates that the function has a double root at x = 8, which means the parabola touches and then bounces off the x-axis at this point.
Thus, rather than crossing the x-axis at two distinct points, the parabola has a single x-intercept at x = 8. This is often referred to as a repeated or double root because the solution appears twice when the quadratic is factored.
Scientists found the wreck of the titanic 3797 m below sea level. How many km below sea level is the wreck?
We are given that the titanic is found 3,797 m below sea level. This is simply equivalent to 3.797 km or 3.8 km when rounded off to one decimal.
We should take note that the letter k in km means kilo and a kilo is equivalent to 1000. So this means that for 1 km there is exactly 1000 m. So to convert, simply multiply a value with unit m with this conversion factor. Conversion factor = 1 km / 1000 m
Depth of titanic = 3,797 m (1 km / 1000 m)
Depth of titanic = 3.797 km = 3.8 km
A quiz consist of 2 true-or-false questions 3 are multiple choice questions. The multiple choice questions have 3 options each. How many ways can a student complete the quiz?
a.36
b.162
c.108
d.18
A secrete code consist of 2 digits, followed by 2 letters, followed by 1 of the following symbols @,#,%, and &. Digits and letters cannot repeat.
a.243,360
b.260,000
c.234,000
d.270,400
How many distinct arrangements can you make using the letters in the word EXPERIMENT?
a.1,209,600
b.3,628,800
c.725,760
d.604,800
How many ways can a dance instructor send 4 of her 11 students to a summer dance program?
a.330
b.720
c.7920
d.1980
There are 5 keys on a key chain. 1 of the keys start a car. A random key is chosen. What is the probability that it starts the car?
a.25%
b.5%
c.20%
d.15%
The probability of choosing a winning card from a stack of cards is 2.9%. What is the probability of choosing the losing card
a.87.1%
b.92.9%
c.99.71%
d.97.1%
Final answer:
Calculating possibilities ranges from completing a quiz to creating secret codes, with correct answers including 108 ways to complete a quiz and 234,000 combinations for a secret code. The arrangement of the word EXPERIMENT yields 1,209,600 unique arrangements, and other questions involve calculating probabilities and combinations in different scenarios.
Explanation:
Calculating Various Probabilities and Combinations
Let's break down each part of the question to provide clear and step-by-step solutions.
1. Completing a Quiz
For the quiz with 2 true-or-false questions and 3 multiple-choice questions (each with 3 options), the number of ways to complete the quiz can be calculated as 22 * 33, which equals 4 * 27 = 108. So, the correct answer is 108 ways.
2. Creating a Secret Code
For a secret code consisting of 2 digits (10 options each, but cannot repeat, so 10*9), 2 letters (26 options each, but cannot repeat, so 26*25), followed by 1 symbol from 4 options, the total number of combinations is 10*9*26*25*4 = 234,000. Thus, the correct choice is 234,000 combinations.
3. Arrangements of the Word EXPERIMENT
To find the number of distinct arrangements of the letters in EXPERIMENT, considering the repeated letters, the formula is the total factorial divided by the product of factorials of each repeated letter: 10!/ (2! * 3!), which calculates to 1,209,600. Therefore, option a is correct.
4. Sending Students to a Summer Dance Program
To determine how many ways a dance instructor can send 4 of her 11 students to a summer dance program, we use combinations: 11C4 = 330. So, the answer is 330 ways, option a.
5. Probability of Starting a Car
With 5 keys, the probability that a randomly chosen key starts the car is 1/5, which translates to 20%, option c.
6. Probability of Choosing a Losing Card
If the winning probability is 2.9%, the losing probability is 100% - 2.9% = 97.1%, thus the correct answer is option d.
What is the quotient when −3x3 + 5x + 14 is divided by x − 2?
−3x2 − 6x − 7
− 3x2 − x + 12
−3x2 + 6x − 7 + 28 over the quantity of x minus 2
−3x2 − x + 12 + 28 over the quantity of x minus 2
Answer:
[tex]-3x^{2} -6x-7[/tex]
Step-by-step explanation:
The given expression is :
[tex]\frac{-3x^{3}+5x+14}{x-2}[/tex]
Factoring [tex]-3x^{3}+5x+14[/tex]
Factor out common term -1
[tex]3x^{3}-5x-14[/tex]
Now dividing leading coefficients of numerator and divisor.
[tex]\frac{3x^{3}}{x}=3x^{2}[/tex]
Multiplying x-2 with [tex]3x^{2}[/tex] = [tex]3x^{3}-6x^{2}[/tex]
Subtracting [tex]3x^{3}-6x^{2}[/tex] from [tex]3x^{3}-5x-14[/tex]
we get [tex]6x^{2} -5x-4[/tex]
Therefore, [tex]\frac{-3x^{3}+5x+14}{x-2}[/tex] = [tex]3x^{2} +\frac{6x^{2}-5x-14}{x-2}[/tex]
Now repeating these same steps until (x-2) is factored out, we get the quotient as :
[tex]-3x^{2} -6x-7[/tex]
What is the probability of finishing a project on or before 22 weeks if the mean (expected) total duration is 18 weeks and the variance is 4 weeks?
Evaluate the expression w 2 - v + 1 for w = -2 and v = -8.
A. 5
B. 13
C. -11
D. -3
One difference between the z-distribution and t-distributions is the t-distribution tends to be
PLEASE HELP ASAP! 20 POINTS BRAINLIEST IF RIGHT
Elements in the same ? have the same number of valence electrons.
Elements in the same ? have the same number of electron shells.
Metallic elements become ? reactive as you move left to right in a period.
Metallic elements become ? reactive as you move top to bottom in a group.
Elements in the same Group have the same number of valence electrons.
Elements in the same Period have the same number of electron shells.
Metallic elements become Less reactive as you move left to right in a period.
Metallic elements become More reactive as you move top to bottom in a group.
The number 0.4 can written as 4/10, so it is a rational number
what is the measure of one interior angle of a regular convex 31-gon
Final answer:
The measure of one interior angle of a regular convex 31-gon is approximately 168.39 degrees, calculated by dividing the sum of the interior angles, 5220 degrees, by the number of sides.
Explanation:
The measure of one interior angle of a regular convex 31-gon can be calculated using the formula for the sum of the interior angles of a polygon, which is (n - 2) × 180°, where n is the number of sides. For a 31-gon, the sum of the interior angles is,
(31 - 2) × 180°
= 29 × 180°
= 5220°.
To find the measure of one interior angle, you divide the total sum by the number of sides, so it is 5220° ÷ 31 ≈ 168.39°.
1250 is deposited in an account that pays 6.5% annual interst compounded continuosly. what is the balance after 8years?
Answer:2102.53
Step-by-step explanation:
1250e(0.065)8
Value of y???????pls help