Answer:
x = ±1
Step-by-step explanation:
=> 7x² = 13-6
=> 7x² = 7
Dividing both sides by 7
=> x² = 1
Taking sqrt on both sides
=> x = ±1
Answer:
[tex]x=\± 1[/tex]
Step-by-step explanation:
[tex]7x^2+6=13[/tex]
Subtract 6 on both sides of the equation.
[tex]7x^2+6-6=13-6[/tex]
[tex]7x^2=7[/tex]
Divide both sides with 7.
[tex]\frac{7x^2}{7}=\frac{7}{7}[/tex]
[tex]x^2=1[/tex]
Take square roots on both sides.
[tex]x=\± \sqrt{1}[/tex]
Please help! Is it 0.0364?
Trudy has a collection of 11 dice, 4 of which have twelve sides.
If Trudy randomly rolls 4 dice in a specific order, what is the probability that just the first 2 of the chosen dice have twelve sides?
Write your answer as a decimal rounded to four decimal places.
Answer:
0.0636
Step-by-step explanation:
The probability the first die has twelve sides is 4/11.
The probability the second die has twelve sides is 3/10.
The probability the third die does not have twelve sides is 7/9.
The probability the fourth die does not have twelve sides is 6/8.
The probability of all four events is:
4/11 × 3/10 × 7/9 × 6/8 = 0.0636
Classify the following triangle. Check all that apply.
A.Isosceles
B.Scalene
C.Acute
D.Equilateral
E.Right
F. Obtuse
Answer: A and E
Step-by-step explanation:
A. Correct
You know this is an isisceles triangle because of the markers on the sides. The markers mean the sides are equal. Also, the lengths are both 8.
B. Incorrect
A scalene triangle is a triangle where all 3 sides have different lengths. The picture shows an isosceles triangle.
C. Incorrect
Even is this may seem like an acute triangle because of the 45°, but this is actually not an acute triangle. An acute triangle requires for all its sides to be less than 90°. The right angle at the bottom right is 90°, not less than.
D. Incorrect
An equilateral triangle has 3 equal sides. The 3 sides in thsi triangle are not equal.
E. Correct
This is a right triangle. You can tell by the right angle label on the bottom right.
F. Incorrect
An obtuse triangle has an angle that is greater than 90°. No angle on this triangle is larger than 90°.
Please help! Correct answer only, please!
Consider the matrix below:
Find the inverse of matrix A: (i.e. Find A-1)
Answer:The answer is either C or D
Answer: A
Step-by-step explanation:
To find the inverse of a matrix, you want to use the formula [tex]\frac{1}{determinant\left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right] } *\left[\begin{array}{ccc}d&-b\\-c&a\\\end{array}\right][/tex]. All you need is to plug in the values that fit into a, b, c, d. First, you need to find the determinant of the original matrix. To find the determinant, you do ad-bc.
2*8-5*3=16-15=1. Our determinant is 1 so all we have left to solve is
[tex]\left[\begin{array}{ccc}d&-b\\-c&a\\\end{array}\right][/tex]. We take our values and plug in.
[tex]\left[\begin{array}{ccc}8&-5\\-3&2\\\end{array}\right][/tex] is our inverse.
Last week, Jeffrey kept track of the time he spent doing homework. On Monday, he spent 1 hour 15 minutes doing math homework and 37 minutes reading homework. On Wednesday, he spent 2 hours 18 minutes on a science report. How long did Jeffrey spend doing homework last week?
Answer:
4hours and 10 minutes
Step-by-step explanation:
Simply just add the three times together
Please help!
Find the product AB, if possible. Explain if it's not possible.
Answer:
C
Step-by-step explanation:
To multiply matrices, the number of columns in the first matrix must equal the number of rows in the second matrix.
Matrix A has 2 columns.
Matrix B has 2 rows.
So the matrices can be multiplied.
Matrix A has 2 rows. Matrix B has 1 column. So the result will also have 2 rows and 1 column.
The first row is (5)(2) + (2)(3) = 16.
The second row is (3)(2) + (-1)(3) = 3.
Determine the intercepts of the line, PLEASE ANSWER ASAP
Answer:
x-intercept = (-40,0) and y-intercept = (15,0)
Answer:
x-intercept: (0, -40)
y-intercept: (15, 0)
Step-by-step explanation:
x-intercept: (0, -40)
y-intercept: (15, 0)
We get this because the intercept of an axis is when the line passes through the axis. For y, the x value will always be 0. For x, the y value will always be 0.
Please help! Correct answer only, please! I need to finish this assignment this week. Find the product AB, if possible. Explain if it is not possible. A. B. C. D.
Answer:
C
Step-by-step explanation:
The matrices are conformable for multiplication.
Multiply and sum the product of corresponding elements in row 1 of matrix A with elements in column of matrix B.
AB = [tex]\left[\begin{array}{ccc}5(2)+2(3)\\3(2)-1(3)\\\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}10+6\\6-3\\\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}16\\3\\\end{array}\right][/tex] → C
Perform the operation indicated, then place the answer in the proper location on the grid. Write your answer in descending powers of a. (a 3 - 2a + 5) - (4a 3 - 5a 2 + a - 2)
The result of the given subtraction problem of expression will be -3a³ + 5a² - 3a + 7.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
A statement expressing the equality of two mathematical expressions is known as an equation.
As per the given expression,
(a³ - 2a + 5) - (4a³ - 5a² + a - 2)
⇒ a³ - 4a³ - 2a - a + 5a² + 5 + 2
⇒ -3a³ + 5a² - 3a + 7
Hence "The result of the given subtraction problem of expression will be -3a³ + 5a² - 3a + 7".
To learn more about expression,
https://brainly.com/question/14083225
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Which of the following is best described as a three-dimensional solid consisting of a base that can be any polygon a point not in the same plane as the polygon and all points between them? A. Triangular prism B. cube C. Rectangular prism D. Pyramid
Answer:
Option D
Pyramid
Step-by-step explanation:
The clause that gave away the answer is "three-dimensional solid consisting of a base that can be any polygon"
Scanning through the options, we can see that the only option that fits the description is the pyramid.
The pyramid is the only three-dimensional shape amongst the options that can take any polygon as a base.
The other options get screened out here.
A cube must have a square base.
A triangular prism must have a triangular base
A rectangular prism must have a rectangular base
Thus, option D: The Pyramid is the correct answer.
What is 44% of 250? Percent word problems.
Answer:
110 is 44% of 250
Step-by-step explanation:
x=0.44(250)
x=110
Answer : 110
44 percent *250 =
(44:100)*250 =
(44*250):100 =
11000:100 = 110
Now we have: 44 percent of 250 = 110
Which of the following is the solution set of the given equation?
(x - 3) - 2(x + 6) = -5
Answer: x=−10
Step-by-step explanation:
x−3−2(x+6)=−5
x+−3+(−2)(x)+(−2)(6)=−5(Distribute)
x+−3+−2x+−12=−5
(x+−2x)+(−3+−12)=−5(Combine Like Terms)
−x+−15=−5
−x−15=−5
−x−15+15=−5+15
−x=10
To eliminate the y-terms and solve for x in the fewest steps, by which constants should the equations be multiplied by before adding the equations together? First Equation: 5x − 4y = 28 Second equation: 3x - 9y = 30
Answer:
use -9 to multiply the first equation
use -4 to multiply the second equation.
Step-by-step explanation:
5x-4y=28.....eqn (1)×-9
3x-9y=30....eqn(2)×-4
-45x+36y=-252
-(-12x+36y=-120)
therefore, -33x÷33 =-132÷-33
x=4.
substitute (x=4) in any of the equation. I'm just going to use eqn 1.
5x-4y=28
5(4)-4y=28
20-4y=28
-4y =28-20
-4y÷-4 = 8÷-4
y=-2
so, x=4, y=-2
Note: for proof of answers substitute the answers for x and y and see if you have the same result...e.g
5(4)-4(-2)=28.
Answer:
The first equation should be multiplied by 9 and the second equation by −4.
Step-by-step explanation:
What is 6 y minus 3 x = negative 18 written in slope-intercept form? y = negative one-half x + 3 y = one-half x minus 3 y = negative 2 x + 3 y = 2 x minus 3
Answer:
[tex]y=\frac{1}{2} x-3[/tex]
which looks like the second answer option you have listed
Step-by-step explanation:
In order to express a linear equation in slope-intercept form, one just needs to solve for "y" in the equation:
[tex]6y-3x=-18\\6y=3x-18\\y=\frac{3x-18}{6} \\y=\frac{1}{2} x-3[/tex]
Answer:
B
Step-by-step explanation:
on edge 2021
hope this helps!!
What is the equation of the translated function, g(x), if f(x) = x2?
Answer:
Its D
Step-by-step explanation:
Just took the test and got a 96%
Answer:
d
Step-by-step explanation:
fart
Solve the following equation for x: 2x − 3y = 6
Answer:
[tex] x = 3 + \frac{3y}{2} \\ [/tex]
Step-by-step explanation:
[tex]2x - 3y = 6 \\ 2x = 6 + 3y \\ \frac{2x}{x} = \frac{6 + 3y}{2} \\ x = 3 + \frac{3y}{2} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day !
A bag contains 9 marbles: 3 are green, 2 are red, 4 are blue. Yolanda chooses a marble at random, and without putting it back, chooses another one at random. What is the probability that the first marble is blue and the second is green?
Answer: [tex]\bold{\dfrac{1}{6}=16.67\%}[/tex]
Step-by-step explanation:
First pick and Second pick
[tex]\dfrac{4\ blue}{9\ total\ marbles}\times\dfrac{3\ green}{8\ remaining\ marbles}\quad =\dfrac{12}{72}\quad =\large\boxed{\dfrac{1}{6}}[/tex]
Which phrase describes the algebraic expression 3x-4? a. the sum of three times a number and four b.four less than three times a number c.the quotient of three times a number less four d. the difference between four and three
Answer:
b.four less than three times a number
Step-by-step explanation:
because it's -4 , it will be four less than
and ×3 is three times the number
Answer:
b. four less than three times a number
Step-by-step explanation:
Got it right on the test
On a coordinate plane, a curved line with minimum values of (negative 0.5, negative 7) and (2.5, negative 1), and a maximum value of (1.5, 1), crosses the x-axis at (negative 1, 0), (1, 0), and (3, 0), and crosses the y-axis at (0, negative 6). Which interval for the graphed function contains the local maximum?
Answer:
D Over the interval [4, 7], the local minimum is -7.
Step-by-step explanation:
Noami visited the fabric store and purchased two yards of 45'' flat fold material at $2.29 yd. She then bought two more yards of 60'' 100$ cotton broadcloth at $5.89 yd. What was her
total bill, including a 5% sales tax?
Answer:
Total bill = $17.18
Step-by-step explanation:
Niomi purchased 2 yards of 45" flat fold material at $2.29/yd.
Cost of 2 yard of 45" flat fold material = 2.29 × 2
= $4.58
Shen then bought 2 more yards of 60" 100% cotton broadcloth at $5.89.
Cost of 2 more yards material = 5.89 × 2
=$11.78
Total cost of 4 yards cloth material with sales tax
= (4.58 + 11.78) + 5% of (4.58 + 11.78)
= $16.36 + (5% of $16.36)
= 16.36 + (0.05 × 16.36)
= 16.36 + 0.818
= $17.178
= $17.18
Find the probability that the number is in set A’ giving your answer as a decimal
Answer:
0.7
Step-by-step explanation:
The probability that the number is in set A’ is the probability that a number is not in set A.
From the venn diagram attached below, they are two sets, set A and set B. Set A has 3 elements {15, 12 18}, Set B has 5 elements {12 18 10 14 16}.
The total number of elements in the universal set is 10 i.e {10 11 12 13 14 15 16 17 18 19}
therefore the number of elements in set A' is 7, i.e {10 11 13 14 16 17 19}.
the probability that the number is in set A’ = number of elements in set A'/number of elements in the universal set
probability that the number is in set A’ = 7 / 10 = 0.7
Answer:
0.7
Step-by-step explanation:
count them up and decide by how many there are then simplify
Please help me with this. You need to find what’s the blue cone! Its due soon please help
Answer:
the first one is 4+10+10=24
the second one is 10-4=6
the third one is =4
the pink cone=10
the blue cone=4
I hope this help
and i am sure that is the answer
please give me the brainlest
Which of the following best explains why tan(5pi/6) doesn't equal tan(5pi/3)
1. The angles do not have the same reference angle.
2. Tangent is positive in the second quadrant and negative in the fourth quadrant
3. Tangent is negative in the second quadrant and positive in the fourth quadrant
4. The angles do not have the same reference angle or the same sign
Answer:
1. The angles do not have the same reference angle
Step-by-step explanation:
The angles are in the 2nd and 4th quadrants, so both have tangents with a negative sign. (This eliminates choices 2, 3, 4.)
The angles do not have the same reference angle.
_____
5π/6 has a reference angle of π/6.
5π/3 has a reference angle of π/3.
Answer:
The angles do not have the same reference angle.
Step-by-step explanation:
2π = 360°
π = 180°
5π/6 = [tex]\frac{5 * 180}{6}[/tex] = 150° (The reference angle here is 180° - 150° = 30°
5π/3 = [tex]\frac{5 * 180}{3}[/tex] = 300° (The reference angle here is 360° - 300° = 60°)
The reference angles are not the same and so the value of their tangents are not equal.
help me with this question please....
Answer:
The answer is 2940
Step-by-step explanation:
HAVE A GOOD DAY!
Describe how you would simplify the given (20x5y2/5x-3y7)
Steps:
1: Pulling out like terms/factors
2: Trying to factor as a Difference of Squares
Description:
Let's simplify step-by-step.
20x⁵y²/5 x -3 y⁷
=4x⁶y²−3y⁷
Answer: =4x⁶y²−3y⁷
Please mark brainliest
Hope this helps.
Answer:
Step-by-step explanation:
Simplify inside the parentheses by dividing coefficients, subtracting the exponents on like bases, and raising the resulting expression to the –3 power. Then, write bases with positive exponents.
Raise the numerator and denominator to the –3 power. Then, using the power of a power property, multiply the exponents. Divide the coefficients and subtract the exponents on like bases, then write with positive exponents
Which of the following expressions can be used to find the area of the polygon? Select all that apply.
An irregular shape that is a rectangle with a piece missing from the upper right corner. The bottom length is twenty feet. The left side width is nine feet. The top length is eighteen feet with a rectangle cut out of the upper right corner. The right side width is six feet.
A. (9 × 20) – 6
B. (9 × 18) – (6 × 2)
C. (9 × 18) + (6 × 2)
D. (20 × 6) + (18 × 3)
E. (20 × 9) – (3 × 2)
Answer:
Option E
The shape is got using the expression: (20 X 9) - (3 X 2)
Step-by-step explanation:
to get the area of the shape, all we need to do is subtract the area of the smaller rectangular cut out from the area of the bigger rectangle.
The main trick here will be identifying the dimensions of both the larger rectangle and the smaller rectangle.
Dimensions of the larger rectangle:
Since we are told that the cut out is at the upper right corner, we can get the dimensions of the larger rectangle using the bottom length and the left width.
Thus we have Length = 20 feet, width = 9 feet
Dimensions of the smaller rectangular cutout.
We can get this by subtracting the dimensions of the top and right edges of the shape from their counterparts in the larger rectangle ( length an width)
length of cutout = ( 20-18) = 2 feet
width of cutout = (9-6) = 3 feet
Hence, the area of the shape is got using the expression:
(20 X 9) - (3 X 2)
Maya sells candles to her 5 neighbors. Each neighbor buys 2 boxes of candles. There are 6 candles in each box. What is the total number of candles that all of her neighbors will get?
Answer:
Each neighbor will get 12 candles so in total, 60 candles will be sold.
Step-by-step explanation:
What statement about 6x^2+7x-10 is true
Find the value of x. 4x+15=28
Answer:
x = 3 1/4
Step-by-step explanation:
[tex]4x+15=28\\Collect-like-terms\\4x = 28-15\\4x = 13\\Divide -both-sides-of-the-equation-by:4\\\frac{4x}{4} =\frac{13}{4} \\x = 13/4\\x = 3\frac{1}{4}[/tex]
[tex]4x+15=28[/tex]
[tex]4x+15-15=28-15[/tex]
[tex]4x=13[/tex]
[tex]\displaystyle \frac{4x}{4} =\frac{13}{4}[/tex]
[tex]\displaystyle x=3.25[/tex]
Work out an estimate for 31 times 9.87 over 0.509
Answer:
620
Step-by-step explanation:
9.87 is about 10 and 0.509 is about 0.5
(31 * 10) / 0.5 = about 620
I will mark you the Brainliest person who gets this right
Answer:
B (x^2 +4x -2) + (x^2 -2x +4)= 2x^2 +2x +2
Step-by-step explanation:
The blue are positive and the red are negative
The top line is x^2 +4x -2
The second line is x^2 -2x +4
Adding together
x^2 +4x -2 + x^2 -2x +4= 2x^2 +2x +2