Answer:
8x + 16 = 2(4x + 8) = 4(2x + 4) = 8(x + 2) = 16((1/2)x + 1) = -8(-x - 2)
Step-by-step explanation:
what topics of algebra are on the shsat
Answer:
Step-by-step explanation:
Proportions.
Volume.
Scale.
Geometry (angles)
Solve for variable.
Logic.
Consecutive integers.
Unit conversion.
and much more...
Find the slope of each line. PLS HELP TYSMMMM!
Answer:
Step-by-step explanation:
1. (-4, -2) (4, 0)
(0 + 2)/(4 + 4)= 2/8= 1/4
2. (-1, 2) (1, -3) = (-3 - 2)/(1 + 1) = -5/2
3. (-2, 3) (0, 0) = (0 - 3)/(0 + 2) = -3/2
4. (1, 1) (3,2) = (2 - 1)/(3 - 1)= 1/2
2/3 x 4/7 write the answer in the simplest form
Answer:
8/21
I don't think that it can be simplified further....
Answer:
⁸/₂₁
Step-by-step explanation:
²/₃ ·⁴/₇ = ⁸/₂₁
you just multiply the denominator with the denominator, and the numerator with the numerator.
If 2x - 3x = 3 what is 16x / 64x?
Answer:
[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
The problem [tex]2x - 3x = 3[/tex] is incorrect. The correct answer for that one is [tex]-x \:\sf{or\:-1[/tex]
[tex]\sf{Simplify\: the\: expression.[/tex]
[tex]\sf{\frac{16x}{64x} = \frac{1}{4}[/tex]
[tex]x=\frac{1}{4}[/tex]
Therefore, the answer is [tex]\frac{1}{4}[/tex]
In circle D, which is tangent to the circle?
Line G H
Line segment A B
CD
EF
Answer:
line segment A B
Step-by-step explanation:
it's really a ray, not a line segment
In circle D, the AB line segment is tangent to the circle.
What are the properties of the circle?The circumference, which is the distance around the object, the diameter, which is the length of a circle measured from one end to the other and passing through its center, and the radius, which is equal to half of the diameter, are the three key characteristics.
The general coordinate equation of a circle is:
(x-h)² + (y - k)² = r²
Where,
(h, k) is the center of a circle,
"r" is the radius of the circle.
Since A line that only has one point where it crosses a circle is said to be tangent to the circle. The point of contact is the location where the circle and the tangent meet.
Thus, in the given figure AB is the tangent line segment of the circle D.
From the properties of the circle, we can state that,
FE is Diameter,
The CD is representing the radius, and
GH is representing the Secant line of the circle D.
Therefore, In circle D, the AB line segment is tangent to the circle.
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The vertex angle of an isosceles triangle is 127º. What is the measure of each base angle?
Answer:
Step-by-step explanation:
(180 - 127) / 2 = 26.5°
Triangle Angle Theorems Instruction Active Proving the Sum of the Interior Angle Measures of a Triangle ls 180° Try Angles Lines Statements Reasons Given: y || 2 Prove: m25 + m 22+ m26 = 180° 25 26 21 23 m21 m26 m23 m 25 A M M Reasons Statements 1 3 2 LE 4 5 Lo 7 6 B с Assemble the proof by dragging tiles to the Statements and Reasons columos.
Answer:
We would need to see the tiles and table. If you'd attach them I'd love to help
Step-by-step explanation:
The triangle is solved and the measure of internal angles = 180°
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the triangle be represented as ΔABC
Let the two parallel lines be y and z
where y ║ z
And , ∠1 ≅ ∠5 and ∠3 ≅ ∠6 based on the interior angles theorem.
So , ∠1 = ∠5 and ∠3 = ∠6
And , the measure of ∠1 + ∠2 + ∠3 = 180° ( angles on straight line )
And , the measure of ∠5 + ∠2 + ∠6 = 180° ( angles on straight line )
where the measure of ∠1 = ∠5 ( alternate interior angles )
And , the measure of ∠3 = ∠6 ( alternate interior angles )
Hence , the triangle is solved
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The complete question is attached below :
Triangle Angle Theorems Instruction Active Proving the Sum of the Interior Angle Measures of a Triangle ls 180° Try Angles Lines Statements Reasons Given: y || 2 Prove: m25 + m 22+ m26 = 180°
A refreshment stand makes 5 large servings of frozen yogurt from 8 pints. Graph the line and then write
its equation. Let the x-axis represent the number of pints and the y-axis represent the number of
servings. Use only fractional form, if necessary.
Answer:
x= (8/5)
Step-by-step explanation:
x= 8÷5
evaluate the equation/expression
x=1.6
then convert to a fraction x= BasePoly 1.6 → 16/10 →8/5
Answer:
Pls help me I think its 5/8
Step-by-step explanation:
4. At an Internet store, a laptop computer costs $724.99. At a local store, the same computer costs $879.95. What is the difference in prices?
Answer:
$154.96
Step-by-step explanation:
difference means to subtract so 879.95-724.99=154.96
Question 21: In January, Michelle walked 15.73 miles. In February she walked 3.6 miles. In March,
she walked 8.01 miles. How many miles did she walk in all?
Answer:
27.34 milesStep-by-step explanation:
Add all together:
15.73 + 3.6 + 8.01 = 27.3415.73miles + 3.6miles + 8.01miles = ...
= 19.33miles + 8.01miles
= 27.34miles
Solve
-46 + - 4
A. 50
B. 42
C. -42
D. -50
The correct alternative that, matches the correct value of this expression is the letter D. That is, the answer will be -50.
Step-by-step explanation:To find the value of this expression, let's eliminate the parentheses and extract the numbers.
To find the value of this expression, let's eliminate the parentheses, and add the numbers, where the signs are equal.
_ When the signs are the same: just add them up.
_ When the signs are different: just subtract.
Resolution:[tex]\large \sf =-46 + (- 4)[/tex]
[tex]\large \sf =-46-4[/tex]
[tex]\boxed{\boxed{\large \sf -50 }}[/tex]
So, the numeric value of this numeric expression will be -50.
The walls and ceiling of a hotel room are to be painted. The ceiling is a 22-foot square, and the walls are 8 feet tall.
What is the surface area of the walls and ceiling to be painted? Ignore any doors or windows.
Answer:
Step-by-step explanation:
ceiling 22² = 484 ft²
walls 4(22)(8) = 704 ft²
Total 1188 ft²
Mrs. Sparks is a 9th-grade Algebra 1 teacher. She teaches three
Algebra 1 courses and all the classes recently took a chapter exam.
Below are the scores. 30 POINTS
The values of the central tendencies are as follows;
The mean of Class 1 is 78.83.
The median of Class 1 is 88
The mean of Class 2 is 79.42
The median of Class 2 is 85.50
The mean of Class 3 is 79.42
The median of Class 3 is 78
The standard deviation of Class 1 is 18.81
The standard deviation of Class 2 is 16.15
The standard deviation of Class 3 is 12.70.
How to find the mean and median?Mean is the average of a set of numbers.
Mean = sum of numbers / total number
Mean of Class 1 = (45 + 50 + 55 + 68 + 77 + 86 + 90 + 90 + 90 + 95 + 100 + 100) / 12 = 78.83
Mean of Class 2 = (40 + 64 + 65 + 70 + 80 + 84 + 87 + 88 + 90 + 90 + 95 + 100) / 12 = 79.42
Mean of Class 3 = (55 + 65 + 70 + 75 + 75 + 76 + 80 + 80 + 88 + 90 + 99 + 100) / 12 = 79.42
Median is the number that is at the center of the dataset that is arranged in either ascending or descending order.
Median of Class 1 = (86 + 90) / 2 = 88
Median of Class 2 = (84 + 87) / 2 = 85.50
Median of Class 3 = (76 + 80) / 2 = 78
Standard deviation is used to calculate the average variation of a dataset.
Standard deviation = √((x - μ)²/σ)
Where:
x = number in the dataset
u = mean
n = total numbers in the dataset.
Standard deviation of Class 1 = 18.81
Standard deviation of Class 2 = 16.15
Standard deviation of Class 3 = 12.70
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Complete question is;
Mrs. Sparks is a 9th grade Algebra 1 teacher. She teaches three
Algebra 1 courses and all the classes recently took a chapter exam.
Below are the scores.
Class 1
45
68
77
90
90
95
100
100
86
90
50
55
Class 2
64
65
70
40
100
87
84
88
90
90
95
80
Class 3
70
75
75
90
100
80
55
65
76
80
88
99
a. Find the mean, median, mode and range of Class 1.
b. Find the mean, median, mode and range of Class 2.
c. Find the mean, median, mode and range of Class 3.
d. Find the standard deviation of Class 1.
e. Find the standard deviation of Class 2.
f. Find the standard deviation of Class 3.
Answer:
Down below! Hope this helps! Mark me Brainly!
Step-by-step explanation:
A.
The mean 78.83.
The median 88
The mode 90
The range 55
B.
The mean 79.42
The median 85.50
The mode 90
The range 60
C.
The mean 79.42
The median 78
The mode 75 and 80
The range 45
D.18.81
E.16.15
G.The class that had the higher standard deviation is class 1.
H.The class that did better on the exam is class 3 because it has the higher mean and the lowest standard deviation.
The mean of the following numbers 78, 88, 89, 90, and 95 is 88.
Answer:
that's definitely true
The two tables below show the amount of tip, y, included on a bill charging x dollars.
A 2-column table with 3 rows titled Restaurant A. Column 1 is labeled x with entries 10, 20, 30. Column 2 is labeled y with entries 1, 2, 3.
A 2-column table with 3 rows titled Restaurant B. Column 1 is labeled x with entries 25, 50, 75. Column 2 is labeled y with entries 5, 10, 15.
Which compares the slopes of the lines created by the tables?
The slope of the line for Restaurant B is One-fifth times greater than the slope of the line for Restaurant A.
The slope of the line for Restaurant B is 2 times greater than the slope of the line for Restaurant A.
The slope of the line for Restaurant B is 5 times greater than the slope of the line for Restaurant A.
The slope of the line for Restaurant B is 10 times greater than the slope of the line for Restaurant A.
9514 1404 393
Answer:
(b) The slope of the line for Restaurant B is 2 times greater than the slope of the line for Restaurant A.
Step-by-step explanation:
The slope of the relation for Restaurant A is ...
y/x = 1/10
The slope of the relation for Restaurant B is ...
y/x = 5/25 = 1/5 = 2×1/10
The slope of the line for Restaurant B is 2 times as great as the slope of the line for Restaurant A.
WHAT IS THE EQUATION IN SLOPE INTERCEPT FORM FOR THE LINE THAT PASSES THROUGH THE POINT (-2,6) AND A SLOPE OF -1/4
It's a line so its equation is in the form : y = mx + b where m is the slope/gradient and b the y-intercept.
Since the slope m here is -1/4, we can write :
y = (-1/4)x + b
And since that line passes through the point x=-2, y=6, we can find the y-intercept by solving this equation of unknown b :
b + (-1/4)*(-2) = 6
b = 6 - (-1/4)*(-2)
b = 6 - (2/4)
b = 6 - 1/2
b = (12-1)/2 = 11/2
Finally, the equation is y = (-1/4)x + 11/2
An eight-sided dice numbered from 1 to 8 is rolled 80 times to determine whether it is fair, a If the dice is fair, how many of each number would you expect to get?
Answer:
10 times for each number
Step-by-step explanation:
:)
Answer:
10
Step-by-step explanation:
if the dice is fair, the sides will land one time every 8, so if its rolled 80 time, and it was equal 10 would be your answer.
Allison is buying two birthday cards for $5.78. Sales tax on the two cards is $0.38. Including sales tax, what is the cost of each card?
1. $2.89
2. $3.27
3. $3.80
4. $3.08
Answer:
1.$2.89
Step-by-step explanation:
1/3 off $ 0.38 $ 0.25
2 for 1 at $ 5.78 $ 2.89
ents
2 in
2 in
What is the area of the given figure? Enter your answer as a single number. Round to the
nearest tenths place. Use 3.14 as an approximation for pi. Your answer will be in the units of
inches squared
15
Answer:
"given figure"
No figure was given.
Step-by-step explanation:
write the fraction as a decimal use bar notatin if necessary
-2 5/22
Answer:
1.13
Step-by-step explanation:
to turn a fraction to a decimal divide the denomitator by the numerator [tex]\frac{-25}{22}[/tex] can also be written as -25÷22 which equals 1.13 or 1.136 with a line over it
Hope this helps!
A man is 32 years older than his son ten year ago he was three times as old as his son was then find the present age of each?
how many times as great as the mass of each emerald is the mass of each sapphire sapphire:0.315 emerald: 0.18
7÷5=2. Prove It
Based on Critical Thinking and Reasoning. Not normal mathematics.
Month. Revenue. Expenses
1. $740 $3,010
2. $995 $2,850
3. $1,200 $2,700
4. $1,500 $2,490
5.
Graph the information presented in the table. Use that graph to predict the week that revenue will equal expenses for this small company.
Note: Revenue and Expenses are drawn on the vertical axis and Month is on the horizontal axis.
Week 8
Week 6
Week 5
Week 7
please help me i will give u a thanks
Answer:
1024
Step-by-step explanation:
because its going by 4
if u get this right u get branist
5(2)^2-2(7) = 6
6(7+2)/2 = 27
Therefor the correct answer is the < symbol.
I hope this helps! :)
which of the following does not require the use of chain rule to find dy/dx.
C. For each term in this expression, you can just apply the power rule.
[tex]y = 3x^2 - \sqrt x + \dfrac2x = 3x^2 - x^{\frac12} + 2x^{-1}[/tex]
[tex]\implies \dfrac{dy}{dx} = 2\cdot3x^{2-1} - \dfrac12 x^{\frac12-1} + (-1)\cdot2x^{-1-1}[/tex]
[tex]\implies \dfrac{dy}{dx} = 6x - \dfrac12 x^{-\frac12} - 2x^{-2}[/tex]
[tex]\implies \dfrac{dy}{dx} = 6x - \dfrac1{2\sqrt x} - \dfrac2{x^2}[/tex]
Every other choice involves composite functions that do require the chain rule to differentiate.
Option C : [tex]y = 3x^2 - \sqrt{x} + \dfrac{2}{x}\\[/tex] can be differentiated without using chain rule.
The differentiation of [tex]y = 3x^2 - \sqrt{x} + \dfrac{2}{x}\\[/tex] without using chain rule can be done as follows:
[tex]\begin{aligned}\dfrac{dy}{dx} &= \dfrac{d}{dx}(3x^2 - \sqrt{x} + \dfrac{2}{x})\\\\&= \dfrac{d}{dx}(3x^2 - x^{\frac{1}{2}} + 2x^{-1})\\&= 6x - (1/2)x^{-\frac{3}{2}} -2x^{-2}\\\end{aligned}[/tex]
The rest of the functions are composite, which means, that after differentiating them with some other base, you need to change the base and differentiate again, thus applying chain rule.
Thus, the function [tex]y = 3x^2 - \sqrt{x} + \dfrac{2}{x}\\[/tex] can be differentiated without using chain rule.
Thus, option C: [tex]y = 3x^2 - \sqrt{x} + \dfrac{2}{x}\\[/tex] is correct option.
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Does anyone know how to solve this:
22 - 6x > 4
Answer:
x<3
Step-by-step explanation:
22-6x > 4
solve like a regular equation for x
subtract 22 on both sides
-6x>-18
divide -6
x>3
and since 6 is negative you switch the sign
so
x<3
Is the Ordered Pair (6, 8) a solution to the equation y=12x+4?
True, the Ordered Pair is a solution to the equation.
False, the Ordered Pair is NOT a solution to the equation.
Answer:
The answer would be B. You solve it by substituting the x and y values in the expression, and seeing if it makes a true statement.
Step-by-step explanation:
Dimensional analysis
Answer:
On the LHS:
Frequency is measured in rad/s, or [tex]s^-^1[/tex];.
On the RHS: [tex]1/2\pi[/tex] is a-dimensional, forces are measured in newton, or [tex]kg\cdot m\cdot s^-^2[/tex]; masses are measured in kg, distances in m.
[tex][s^-1] = (\frac{[kg \cdot m\cdot s^-^2]}{ [kg \cdot m]}) ^\frac12 \\{[s^-^1]} = [s^-^1][/tex]