Answer: x = 60
Step-by-step explanation: Notice that these two angles are vertical angles.
Whenever two lines intersect, a pair of vertical angle is always formed.
Now, vertical angles are always congruent.
So we can setup the equation 2x + 24 = 144.
Solving from here, we first subtract 24 from both sides to get 2x = 120.
Now dividing both sides by 2, we find that x = 60.
So x = 60.
Answer:
c. 60°
Step-by-step explanation:
[tex](2x +24)\° = 144\°\\\\2x+24\°=144\°[/tex]
Collect like terms and simplify
[tex]2x\° =144\°-24\°\\\\2x\°=120\°[/tex]
Divide both sides of the equation by 2 and simplify
[tex]\frac{2x}{2} = \frac{120}{2} \\\\x =60\°[/tex]
f(x) = -2(x+3)(x - 1)
What is the vertex
Answer:
see attechment: - vertex (-1, 8)
Step-by-step explanation:
focus | (-1, 63/8) = (-1, 7.875)
vertex | (-1, 8)
semi-axis length | 1/8 = 0.125
focal parameter | 1/4 = 0.25
eccentricity | 1
directrix | f = 65/8
4 over 25 as a decimal
Answer:
0.16
Step-by-step explanation:
Simply divide 4 by 25
4/25=0.16
Hope this helps : )
Write the opposite of 47
Answer:
-47
Step-by-step explanation:
Answer:
-47
Step-by-step explanation:
The opposite of a number is just the number on the opposite side of zero on the number line.
For example, the opposite of 5 is -5.
Katarina is buying types of bird seed by the pound. For 11.00, she can buy 2 pounds of thistle seed and 1.5 pounds of sunflower seed. For 23.50 she can buy 3 pounds of thistly seed and 4 pounds of sunflower seed. How much does a pound of sunflower cost
Answer:
Step-by-step explanation:
2t + 1.5s = 11
3t + 4s = 23.50
6t + 4.5s = 33
-6t - 8s = -47
-3.5s = -14
s = $4 a pound for sunflower seeds
4•6÷2 to the power of 3=
The answer is 1728
First you must set up the equation
[tex](\frac{4*6}{2})^3[/tex]
Then, you must multiply the numerator
[tex](\frac{24}{2} )^3[/tex]
Next, divide
[tex](12)^3[/tex]
Finally, simplify exponents
[tex](12^3) =12*12*12[/tex]
12*12*12=1728
Answer:
3
Step-by-step explanation:
4 ×6 :2 ^3 =
24 :8 =
3
What is x( -3 -x) equal to?
Answer:
-3x-x^2
Step-by-step explanation:
One leg of a right triangle is 1 cm less than the hypotenuse, and the other leg is 8 cm less than the hypotenuse. What is the length of the hypotenuse?
Answer:
the hypothesis is 5or 13
Step-by-step explanation:
let the hypotenuse be y so the first side will be y-1 and the other side will be y-8 repectively and using the pythagoras theorem you solved for the hypotenenuse
Zoe buys a new car for $26,750. If that price includes a 7% sales tax, what is the price of
the car before taxes?
Answer:
24877.5
Step-by-step explanation:
%7 of 26,750 is 1,872.5
Subtract: 26,750 - 1,872.5
Then the answer is 24877.5
[4 marks
c) log2X, log2 (X + 9), and log2 (x + 45) are three consecutive terms of an arithmetic
progression
i)
ii)
Find X
Find the 5th term as a single logarithm.
lanice
Answer:
1. x = 3
2. The 5th term = Log₂768.
Step-by-step explanation:
From the question given above, the following data were obtained:
Log₂x, Log₂(x + 9, Log₂(x + 45)
x =?
5th term (T₅) =.?
1. Determination of the value of x.
We shall determine the value of x as follow:
First term = Log₂x
2nd term = Log₂(x + 9)
3rd term = Log₂(x + 45)
Common difference = 2nd term – first term = 3rd term – 2nd term
Log₂(x + 9) – Log₂x = Log₂(x + 45) – Log₂(x + 9)
Recall
Log M – Log N = Log (M/N)
Therefore,
Log₂(x + 9) – Log₂x = Log₂(x + 9)/x
Log₂(x + 45) – Log₂(x + 9) = Log₂(x + 45) /(x + 9)
Thus:
Log₂(x + 9) – Log₂x = Log₂(x + 45) – Log₂(x + 9)
Log₂(x + 9)/x = Log₂(x + 45)/(x + 9)
Cancel Log₂ from both side
(x + 9)/x = (x + 45)/(x + 9)
Cross multiply
(x + 9)(x + 9) = x(x + 45)
x² + 9x + 9x + 81 = x² + 45x
x² + 18x + 81 = x² + 45x
Rearrange
x² – x² + 81 = 45x – 18x
81 = 27x
Divide both side by 27
x = 81/27
x = 3
Therefore, the value of x is 3.
2. Determination of the 5th term.
We'll begin by calculating the common difference (d)
x = 3
First term = Log₂x
First term = Log₂3
2nd term = Log₂(x + 9)
2nd term = Log₂(3 + 9)
2nd term = Log₂12
Common difference (d) = 2nd term – first term
Common difference (d) = Log₂12 – Log₂3
= Log₂(12/3)
Common difference (d) = Log₂4
Finally, we shall determine the 5th term as follow:
First term (a) = Log₂3
Common difference (d) = Log₂4
5th term (T₅) =.?
T₅ = a + 4d
T₅ = Log₂3 + 4Log₂4
Recall:
nLogM = LogMⁿ
Therefore,
4Log₂4 = Log₂4⁴ = Log₂256
T₅ = Log₂3 + 4Log₂4
T₅ = Log₂3 + Log₂256
Recall:
Log M + Log N = Log (M×N)
Thus,
T₅ = Log₂3 + Log₂256
T₅ = Log₂(3 × 256)
T₅ = Log₂768
Therefore, the 5th term is Log₂768
How to check if a number is a power of another number?
Answer:
If x^n = y, then y is a power of x
Step-by-step explanation:
Take two numbers, x & y
To check whether, y is a a power of x
By hit & trial method, calculate x^n (approximately considered to near y). Try for many such no.s
If at any value x^n = y, then y is a power of x
Ex : Let x = 5, y = 625
By hit & trial, n = 3 or 4,
5^3 = 125 , 5^4 = 625
So, 625 is a power of x
6. Simplify the expression. 8.5(4+3h)-h
Answer:
34+24.5h
Step-by-step explanation:
can I get an answer please
Answer:
2 is the answer to the question I think
is 2/3 a rational number?
Answer:
Yes
Step-by-step explanation:
A number that can be written as a ratio of two integers, of which denominator is non-zero, is called a rational number.
Therefore 2/3 is a rational number.
eratosthenes estimated the circumference of the earth as 250,000 stadia (the length of an athletic stadium). if we assume he used the most common length of stadia of his time, his estimate of the circumference of the Earth would be 46,620 km. Currently, the accepted average circumference of the Earth is 40,030.3 km. Find the percentage error of Eratosthenes' estimate of the circumference of the Earth
Answer: 16.5%
Step-by-step explanation:
given data:
estimated circumfrence of the earth = 250,000 stadia.
Actual value = 46,620km
expected Value = 40,030.3km
solution:
percentage error = actual value – expected value/ expected value * 100
= 46,620 – 40,030.3 / 40,030.3 * 100
= 6589.7 / 40,030.3 * 100
= 0.16462 * 100
= 16.5%
percentage error is 16.5%
6 divided by 2 (1+2) = ?
Answer:
6/2 (1+2) = 9
Step-by-step explanation:
6/2 (1+2)
Order of operations PEMDAS
Parentheses first 6/2(3)
Multiplication and division go left to right
3(3)=9
Answer:6÷2(1+2)×3
Step-by-step explanation:
what is the opposite 25 degrees
Answer:
The opposite of 25 degrese is -25 degrese.
Step-by-step explanation:
The opposite 25 degrees will be 205 degrees.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
For the opposite angle, add 180° to the given angle.
The opposite 25 degrees will be
⇒ 25° + 180°
⇒ 205°
The diagram is given below.
More about the angled link is given below.
https://brainly.com/question/15767203
#SPJ2
Answer the following question: Melissa was collecting
stickers in her sticker album. She decided to organize
them with an equal amount on each page. If her album
had 40 pages, and she had 32 stickers on each page,
how many stickers will Melissa have if her album is
completely full?
Answer:
1,280
Step-by-step explanation:
Please show all of the steps to solve the Algebra math problems below.Evaluate the following.|10| = |-4| =Subtract. Write your answer as a fraction in simplest form.5/8 � 3/8 =Subtract.7/8 � 5/6Write your answer as a fraction in simplest form.Multiply.6*(-7/2) =Write your answer in simplest form.Divide. Write your answer as a fraction or mixed number in simplest form.6/5 / (- 12/25) =Evaluate.3 + 4^2 * 2 =Evaluate.2/3 + 5/6 * � =Write your answer in simplest form.Evaluate-16 - 12 / (-4) =Use the distributive property to remove the parentheses.-9(3w � x � 2) =Simplify.-2(w + 2) + 5w =Simplify the following expression.16x^2 + 8 � 10x � 2x^2 � 14x =Evaluate the expression when b = -5 and y = 6b � 9y =Evaluate the expression when y = -3Y^2 + 5y � 4 =Evaluate.(-4)^3 =(-7)^2 =Evaluate. Write your answers as fractions.3/5^3 =(-1/3)^2 =Evaluate the expressions.(-7)^0 =2(1/3)^0 = Multiply.3v^2(-5v^4) =Simplify your answer as much as possible.Multiply.2y^2w^4*6y*2w^8 =Simplify your answer as much as possible.Simplify.(4p^3/3p^7)^-2 =Write your answer using only positive exponents.Simplify.X^-2/x^-3 =Write your answer with a positive exponent only.
Answer:
See Explanation
Step-by-step explanation:
Please note that I'll replace all � with +
1. |10|
This implies the absolute value of 10 and it always returns the positive value;
Hence;
[tex]|10| = 10[/tex]
2. |-4|
Using the same law applied in (1)
[tex]|-4| = 4[/tex]
3. 5/8 - 3/8 = ?
Take LCM
[tex]= \frac{5 - 3}{8}[/tex]
Subtract the numerator
[tex]= \frac{2}{8}[/tex]
Divide the numerator and denominator by 2
[tex]= \frac{1}{4}[/tex]
Hence:
[tex]\frac{5}{8} - \frac{3}{8} = \frac{1}{4}[/tex]
4. 7/8 - 5/6
Take LCM
[tex]= \frac{21 - 20}{24}[/tex]
[tex]= \frac{1}{24}[/tex]
Hence;
[tex]\frac{7}{8} - \frac{5}{6} = \frac{1}{24}[/tex]
5. 6 * (-7/2)
[tex]= 6 * \frac{-7}{2}[/tex]
Multiply the numerator
[tex]= \frac{-42}{2}[/tex]
[tex]= -21[/tex]
Hence:
[tex]6 * \frac{-7}{2} = -21[/tex]
5. 6/5 /(-12/25)
[tex]= \frac{6}{5} / \frac{-12}{25}[/tex]
Change the divide to multiplication
[tex]= \frac{6}{5} * \frac{-25}{12}[/tex]
Divide 6 and 12 by 6
[tex]= \frac{1}{5} * \frac{-25}{2}[/tex]
Divide 5 and 25 by 5
[tex]= \frac{1}{1} * \frac{-5}{2}[/tex]
[tex]= \frac{-5}{2}[/tex]
Hence;
[tex]\frac{6}{5} / \frac{-12}{25} = \frac{-5}{2}[/tex]
6. 3 + 4^2 * 2
[tex]= 3 + 4^2 * 2[/tex]
Solve the exponent
[tex]= 3 + 16 * 2[/tex]
Apply B.O.D.M.A.S
[tex]= 3 + 32[/tex]
[tex]= 35[/tex]
[tex]3 + 4^2 * 2 = 35[/tex]
7. 2/3 + 5/6
[tex]= \frac{2}{3} + \frac{5}{6}[/tex]
Apply LCM
[tex]= \frac{4 + 5}{6}[/tex]
[tex]= \frac{9}{6}[/tex]
Divide the numerator and denominator by 3
[tex]= \frac{3}{2}[/tex]
Convert to mixed fraction
[tex]= 1\frac{1}{2}[/tex]
Hence;
[tex]\frac{2}{3} + \frac{5}{6} = 1\frac{1}{2}[/tex]
8. 16 - 12/(-4)
[tex]= 16 - \frac{12}{-4}[/tex]
Solve the fraction
[tex]= 16 - (-3)[/tex]
Open the bracket
[tex]= 16 + 3[/tex]
[tex]= 19[/tex]
Hence;
[tex]16 - \frac{12}{-4} = 19[/tex]
9. -9(3w + x + 2)
[tex]= -9(3w + x + 2)[/tex]
Open brackets: Distributive property
[tex]= -9*3w -9* x -9 * 2[/tex]
[tex]= -27w -9 x -18[/tex]
Hence;
[tex]-9(3w + x + 2) = -27w -9 x -18[/tex]
10. -2(w + 2) + 5w
[tex]= -2(w + 2) + 5w[/tex]
Open bracket: using distributive property
[tex]= -2*w -2 * 2 + 5w[/tex]
[tex]= -2w -4 + 5w[/tex]
Collect Like Terms
[tex]= 5w-2w -4[/tex]
[tex]= 3w -4[/tex]
Hence;
[tex]-2(w + 2) + 5w = 3w- 4[/tex]
11. 16x^2 + 8 + 10x + 2x^2 + 14x
[tex]= 16x^2 + 8 + 10x + 2x^2 + 14x[/tex]
Collect Like Terms
[tex]= 16x^2 + 2x^2 + 10x + 14x+ 8[/tex]
[tex]= 18x^2 + 24x + 8[/tex]
Expand the expression
[tex]= 18x^2 + 12x + 12x + 8[/tex]
Factorize:
[tex]= 6x(3x + 2) + 4(3x +2)[/tex]
[tex]= (6x + 4)(3x +2)[/tex]
Hence;
[tex]16x^2 + 8 + 10x + 2x^2 + 14x = (6x + 4)(3x +2)[/tex]
12. b = -5 and y = 6
[tex]b + 9y =?[/tex]
Substitute -5 for b and 6 for y
[tex]= -5 + 9 * 6[/tex]
[tex]= -5 + 54[/tex]
[tex]= 49[/tex]
Hence;
[tex]b + 9y = 49[/tex]
13. y = -3
[tex]y^2 + 5y + 4 =?[/tex]
Substitute -3 for y
[tex]= (-3)^2 + 5(-3) + 4[/tex]
Open all brackets
[tex]= 9 -15 + 4[/tex]
[tex]= -2[/tex]
Hence;
[tex]y^2 + 5y + 4 = -2[/tex]
14.
[tex](-4)^3[/tex]
Open bracket:
[tex]= -4 * -4 * -4[/tex]
[tex]= -64[/tex]
Hence;
[tex](-4)^3 = -64[/tex]
[tex](-7)^2[/tex]
Open bracket:
[tex]= -7 * -7[/tex]
[tex]= 49[/tex]
Hence;
[tex](-7)^2 = 49[/tex]
15. Express as fractions:
[tex]\frac{3}{5^3}[/tex]
Evaluate the denominator
[tex]= \frac{3}{125}[/tex]
Hence:
[tex]\frac{3}{5^3} = \frac{3}{125}[/tex]
[tex](\frac{-1}{3})^2[/tex]
Evaluate the exponent
[tex]= (\frac{-1}{3})*(\frac{-1}{3})[/tex]
[tex]=\frac{1}{9}[/tex]
Hence:
[tex](\frac{-1}{3})^2=\frac{1}{9}[/tex]
16. Evaluate
[tex](-7)^0 =[/tex]
Evaluate the exponent
[tex](-7)^0 = 1[/tex]
[tex]2 * (1/3)^0[/tex]
Evaluate the exponent
[tex]= 2 * 1[/tex]
[tex]= 2[/tex]
Hence;
[tex]2 * (1/3)^0 = 2[/tex]
17. Evaluate
[tex]3v^2(-5v^4)[/tex]
Open bracket
[tex]= 3 * v^2*-5* v^4[/tex]
Reorder
[tex]= 3 *-5* v^4 * v^2[/tex]
[tex]= -15* v^4 * v^2[/tex]
Apply law of indices
[tex]= -15* v^{4 +2}[/tex]
[tex]= -15* v^6[/tex]
[tex]= -15v^6[/tex]
Hence:
[tex]3v^2(-5v^4) = -15v^6[/tex]
18.
[tex]2y^2w^4*6y*2w^8[/tex]
Rewrite as
[tex]2 *y^2 * w^4*6 * y*2 * w^8[/tex]
Reorder the terms
[tex]=2*6 * w^4 * w^8*y^2 * y*2[/tex]
[tex]=12 * w^4 * w^8*y^2 * y*2[/tex]
Apply law of indices
[tex]=12 * w^{4+8} *y^{2+2}[/tex]
[tex]=12 * w^{12} *y^4[/tex]
[tex]=12 w^{12} y^4[/tex]
Hence:
[tex]2y^2w^4*6y*2w^8 =12 w^{12} y^4[/tex]
19.
[tex](\frac{4p^3}{3p^7})^{-2}[/tex]
Apply law of indices
[tex]= (\frac{4p^{3-7}}{3})^{-2}[/tex]
[tex]= (\frac{4p^{-4}}{3})^{-2}[/tex]
Apply law of indices
[tex]= (\frac{4}{3p^4})^{-2}[/tex]
Apply law of indices
[tex]= (\frac{3p^4}{4})^{2}[/tex]
[tex]= (\frac{3p^4}{4}) * (\frac{3p^4}{4})[/tex]
Evaluate
[tex]= \frac{9p^8}{16}[/tex]
Hence;
[tex](\frac{4p^3}{3p^7})^{-2} = \frac{9p^8}{16}[/tex]
20.
[tex]\frac{x^{-2}}{x^{-3}}[/tex]
Apply law of indices
[tex]= x^{-2 - (-3)}[/tex]
[tex]= x^{-2 +3}[/tex]
[tex]= x^1[/tex]
[tex]= x[/tex]
Hence:
[tex]\frac{x^{-2}}{x^{-3}} =x[/tex]
Answer: So 5 + x = 8 beacase x is 3
Step-by-step explanation:
an oil company fills 1/12 of a tank in 1/4 hour with gasoline at this rate which expression can be used to determine how long it will take for the tank to fill completely
Answer:
1/4 * 12
Step-by-step explanation:
It takes 1/4 hour to fill 1/12
It has to do this 12 times to be full
so 1/4 hour times 12
Answer:
An oil company fills of a tank in hour with gasoline. At this rate, which expression can be used to determine how long it will take for the tank to fill completely? (1 point)
Question 10 options:
1)
⋅
2)
⋅ 4
3)
⋅ 12
4)
12 ⋅ 4
Step-by-step explanation:
Are BD and CE congruent
Answer:
no
Step-by-step explanation:
b to d is 4 jumps away and c and e is 10 jumps
edit i meant 8 and d i messed up the calculations but the answer is correct
BD is 8 units long
CE is 10 units long
BD and CE are NOT congruent.
Use the slope formula to find the slope of the line through the points (1,4) and (−5,0).
Answer:
2/3
Step-by-step explanation:
Using the slope formula
m = ( y2-y1)/(x2-x1)
= ( 0-4)/(-5-1)
= -4/-6
= 2/3
Answer:
y = -2/3x
Step-by-step explanation:
y2-y1 over x2-x1
0-4 over -5-1
Which table represents the same relation as the set StartSet (negative 6, 4), (negative 4, 0), (negative 3, 2), (negative 1, 2) EndSet?
Answer:
Graph b
Step-by-step explanation:
ED2020
help me i need help i am in desperate need bork bork squeal
Area of a square = side^2
In this problem,
Side = 4in
Therefore,
Area = 4^2 = 16in^2
Area of a rectangle = length * width
In this problem,
Length = 6in
Width = 12.5in
Area = 75in^2
Area of a parallelogram = base * height
In this problem
Base = 10in
Height = 3.5in
Area = 3.5 * 10 = 35in^2
Now we add up the area from each shape
35 + 75 + 16 = 126in^2
How does the precision of linear measurements affect calculated measurement?
Answer:
Find the difference (subtract) between the accepted value and the experimental value, then divide by the accepted value. To determine if a value is precise find the average of your data, then subtract each measurement from it.
Step-by-step explanation:
Cassidy is researching the impacts of eating breakfast on college students who have classes prior to 9 am. To do this, she issued a Likert scale questionnaire to the students, with a scale of 1 through 10 to answer a series of 20 questions. What is the type of measurement scale
Answer:
Interval scale
Step-by-step explanation:
In statistics, there are 4 types of measurement scales namely;
Nominal scales, interval scales, Ordinal scales and Ratio scales.
Now, in this question Cassidy is trying to research the impacts of eating breakfast on college students who have classes prior to 9 am.
This has to do with order as it deals with people who have breakfast before 9 a.m. It also deals with the exact differences in the various answers on the scale of 1 - 10 for each student student in the research for the 20 questions.
This is exactly what the interval measurement scale is all about interval scale deals with order and exact differences in values.
Thus, the scale used is an interval scale.
i need help guysss please
Answer:
∠MON = 99
Step-by-step explanation:
∠LON = 180°
∠MON + ∠LOM = 180 -------equation
where:
∠MON = 8x - 13
∠LOM = 7x - 17
plugin values into the equation
8x - 13 + 7x - 17 = 180
8x + 7x - 13 - 17 = 180
15x - 30 = 180
15x = 180 + 30
x = 210 / 15
x = 14
plugin values to ∠MON = 8x - 13
∠MON = 8x - 13
∠MON = 8(14) - 13
∠MON = 99
Answer:
Angle MON = 99
Step-by-step explanation:
...........
..................
In a certain class, 11/20 of the students got problem 20 wrong on Friday's math test.
Answer:
U need to copy and paste more of the question
Step-by-step explanation:
Start copy at the top go all the way to the bottem of the question and paste into brainly.
use ctrl c for copy and crtl v for paste
Answer:
Then 9/20 got them right
Step-by-step explanation:
20/20-11/20=9/20
there isn't enough context so that's the best i can do
y = c1 cos(3x) + c2 sin(3x) is a two-parameter family of solutions of the second-order DE y'' + 9y = 0. If possible, find a solution of the differential equation that satisfies the given side conditions. The conditions specified at two different points are called boundary conditions. (If not possible, enter IMPOSSIBLE.)
Complete Question
The complete question is shown on the first uploaded image
Answer:
The value is [tex]y = 5sin3x[/tex]
Step-by-step explanation:
From the question we are told that
[tex]y = c_1\ cos3x + c_2 \ sin 3x[/tex]
given that y(0) = 0
We have that
[tex]c_1\ cos3(0) + c_2 \ sin 3(0) = 0[/tex]
=> [tex]c_1 = 0[/tex]
This means that
[tex]y = c_2 \ sin 3x[/tex]
We also given that
[tex]y[\frac{\pi}{6} ] = 5[/tex]
So
[tex]c_2 sin (3 * \frac{\pi}{6} ) = 5[/tex]
=> [tex]c_2 = 5[/tex]
Hence
[tex]y = 5sin3x[/tex]
-32>-5+9x soLve for x
Answer:
-3>x
Step-by-step explanation:
Rearrange the equation
1. Move - 5 onto the other side with - 32.
2. - 32 + 5 > 9x now because 5 was moved to the other side so the sign has changed.
3. - 27>9x, move 9 to the other side
4. - 27/9>X DIVIDE 27 by 9
5. - 3>X
Answer:
-4 ≥ x or 3>x
Step-by-step explanation:
Find the modulus of z = 3 + 3i.
Answer: 3√2
Step-by-step explanation:
i had a quiz with this question and it said this was the correct answer