Answer:
[tex]\left[\begin{array}{ccc}9\\10\\\end{array}\right][/tex]
Step-by-step explanation:
Evaluate 3a by multiplying each element by 3
3a = 3 [tex]\left[\begin{array}{ccc}2\\4\\\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}3(2)\\3(4)\\\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}6\\12&\\\end{array}\right][/tex], then
3a + b
= [tex]\left[\begin{array}{ccc}6\\12\\\end{array}\right][/tex] + [tex]\left[\begin{array}{ccc}3\\-2\\\end{array}\right][/tex] ← sum corresponding elements
= [tex]\left[\begin{array}{ccc}6+3\\12-2\\\end{array}\right][/tex]
= [tex]\left[\begin{array}{ccc}9\\10\\\end{array}\right][/tex]
3.
Reasons
Statements
MNOP is a parallelogram
N
PM || ON
M
Given:
Alternate Int. Zs Thm,
MNOP is a parallelogram
MN II PO
Alternate Int. Zs Thm,
Prove:
PM = ON
(For this proof, use only the
definition of a parallelogram;
don't use any properties)
HE
Answer:
3. [tex]\overline{PM}\cong \overline{ON}[/tex] Distances between two parallel lines [tex]\overline{MN} \ and\ \overline{PO}[/tex]
4. [tex]\overline{AC}[/tex] = [tex]\overline{CE}[/tex]: Reason; Corresponding part of ΔACB and ΔDCE
C is the midpoint of [tex]\overline{AE}[/tex]: Reason; [tex]\overline{AC}[/tex] = [tex]\overline{CE}[/tex]: Definition of midpoint
Step-by-step explanation:
3. A parallelogram is defined as a quadrilateral with two opposite sides equal and parallel and having equal opposite interior angles
MNOP is a parallelogram: Reason; Given
[tex]\overline{PM}\left | \right |\overline{ON}[/tex] : Reason; Opposite sides of a parallelogram
∠NOM ≅ ∠OMP: Reason Alternate interior angles
[tex]\overline{MN}\left | \right |\overline{PO}[/tex]: Reason; Opposite sides of a parallelogram
∠NMO ≅ ∠MOP: Reason Alternate interior angles
[tex]\overline{PM}\cong \overline{ON}[/tex] Distances between two parallel lines [tex]\overline{MN} \ and\ \overline{PO}[/tex]
4. [tex]\overline{AB}\left | \right |\overline{DE}[/tex] : Reason; Given
∠EAB ≅ ∠AED: Reason; Alternate int. ∠s Thm
∠ABC ≅ ∠EDB : Reason; Alternate int. ∠s Thm
C is the midpoint of [tex]\overline{BD}[/tex]: Reason; Given
[tex]\overline{BC}[/tex] = [tex]\overline{CD}[/tex]: Reason; Definition of midpoint
Therefore, ΔACB ≅ ΔDCE: Reason Angle Angle Side (AAS) Theorem
[tex]\overline{AC}[/tex] = [tex]\overline{CE}[/tex]: Reason; Corresponding part of ΔACB and ΔDCE
C is the midpoint of [tex]\overline{AE}[/tex]: Reason; Definition of midpoint
Example 12. x, y, and = are the measures of the angles shown in the figure. The sum of y
and - in terms of x is:
A.2x B. 90° + x C.180º – X D. 180° – 2x E. 90° – x
11111111111111111111
A subscription service charges new
customers $2 per video game plus
$10 for the membership rental card.
Step-by-step explanation:
Graphing Linear Inequalities
This is a graph of a linear inequality:
linear inequality y <= x +2
The inequality y ≤ x + 2
You can see the y = x + 2 line, and the shaded area is where y is less than or equal to x + 2
Linear Inequality
A Linear Inequality is like a Linear Equation (such as y = 2x+1) ...
... but it will have an Inequality like <, >, ≤, or ≥ instead of an =.
How to Graph a Linear Inequality
First, graph the "equals" line, then shade in the correct area.
There are three steps:
Rearrange the equation so "y" is on the left and everything else on the right.
Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)
Shade above the line for a "greater than" (y> or y≥)
or below the line for a "less than" (y< or y≤).
Let us try some examples:
Example: y≤2x-1
1. The inequality already has "y" on the left and everything else on the right, so no need to rearrange
2. Plot y=2x-1 (as a solid line because y≤ includes equal to)
Rosa and her brother worked landscaping jobs last summer. Rosa earned $8 more than twice the amount earned by her brother. If their earnings totalled $71, how much did Rosa earn? NEED AN ANSWER
Convert the decimal to a percent.
3.06 = a number here %
What is the following quotient square root 6 + square root 11/ square root 5 + square root 3
Answer:
6.382219183
Step-by-step explanation:
If you put it in a calculator it tells you :/
Answer:
6.382219183
Step-by-step explanation:
B
Which transformations could have taken place to
map ABC to A'B'C'
B"
a reflection and a dilation
a rotation and a dilation
C"
A"
a translation and a dilation
a reflection and a translation
C
Answer: C
Step-by-step explanation:
Translating A'B'C' to A''B''C'' doesn't change the position of the vertices and to make it smaller you have dilate the figure because that is the only way to change the size of a shape.
.Reflecting the figure changes the position of the vertices so A and D can't be an answer choice.
A sum of rs. 4000 is invested at a rate of 8% of compound intrest at 1st year and 10% at 2nd year. Find the sum of both the years. (Pls write the answer with steps and formulas). It's urgent
Answer:
The sum after the second year is rs.4752
Step-by-step explanation:
The interesting thing about solving for compound interest problems is understanding that the principal changes every year.
To solve this problem, we will break it into two years and solve for each year, so we can obtain the final sum to be paid at teh end of the second year.
Please note:
P = principal {the original sum invested}
R = rate of interest.
T= time required to pay back
Sum after the First Year:
Interest = [tex]\frac{P \times R \times T}{100}=\frac{4000 \times 8 \times 1}{100}=320[/tex]
Therefore his money after the first year is got by adding the interest of 320 to the initial principal which will givers. 4320.
After the first year, the money that will be used to calculate the new interest paid will be this rs.4320 obtained at the end of the first year.
Sum after the second Year
Interest =[tex]\frac{P \times R \times T}{100}=\frac{4320 \times 10 \times 1}{100}=432[/tex]
Sum = 4320+432 = rs.4752
Hence, the sum after the second year is rs.4752
Can some help I’ll appreciate it
Answer:
A.
Step-by-step explanation:
The question is asking what the x value is when y = 8. You look for a coordinate with a y-value of 8: (x, 8). When you trace the graph, you should see that y = 8 intersects x = 3, and A is your answer.
Due to conservation efforts, the gray wolf has been removed from the endangered species list. There are now 25,000 in the world, and the population is excepted to grow by 15% yearly. Write an equation that models this scenario.
3,750 yearly
Step-by-step explanation:
25000 wolves x 15% yearly =
25000 + 3750 yearly = 28750 1st year account
Answer:
D
Step-by-step explanation:
Which graph shows the solution to the system of linear inequalities?
y>2/3x+3
Step-by-step explanation:
Graphing Linear Inequalities
This is a graph of a linear inequality:
linear inequality y <= x +2
The inequality y ≤ x + 2
You can see the y = x + 2 line, and the shaded area is where y is less than or equal to x + 2
Linear Inequality
A Linear Inequality is like a Linear Equation (such as y = 2x+1) ...
... but it will have an Inequality like <, >, ≤, or ≥ instead of an =.
How to Graph a Linear Inequality
First, graph the "equals" line, then shade in the correct area.
There are three steps:
Rearrange the equation so "y" is on the left and everything else on the right.
Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)
Shade above the line for a "greater than" (y> or y≥)
or below the line for a "less than" (y< or y≤).
Let us try some examples:
Example: y≤2x-1
1. The inequality already has "y" on the left and everything else on the right, so no need to rearrange
2. Plot y=2x-1 (as a solid line because y≤ includes equal to)
The solution to the system of linear inequalities is y=2x-1
Graphing Linear Inequalities
This is a graph of a linear inequality:
linear inequality y <= x +2
The inequality y ≤ x + 2
You can see the y = x + 2 line, and the shaded area is where y is less than or equal to x + 2
Linear Inequality
A Linear Inequality is like a Linear Equation (such as y = 2x+1) ... but it will have an Inequality like <, >, ≤, or ≥ instead of an =.
How to Graph a Linear Inequality?First, graph the equals line, then shade in the correct area.
There are three steps
Rearrange the equation so y is on the left and everything else on the right.
Plot the y= line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)
The shade above the line for a greater than (y> or y≥)
or below the line for a less than (y< or y≤).
The inequality already has y on the left and everything else on the right, so no need to rearrange
2. Plot y=2x-1
The solution to the system of linear inequalities is y=2x-1.
To learn more about the inequalities visit:
https://brainly.com/question/24372553
#SPJ5
What does x=? Will give 5 stars
What is the best estimate of the sum of the fractions?
31 17
4 3
+
+
8
18
o 12 1 / 2
13
141
15
Answer:
499/36
Step-by-step explanation:
If you find the LCM of all fractions and add them then you get 279/36+204/36+16/36 which is equal to 499/36
Answer:
Its B or 13
Step-by-step explanation:
Can someone help me im kinda dumb :/
Answer:
9. a₁ = 13, aₙ = aₙ₋₁ × (-2)
10. aₙ = 2 (-3)ⁿ⁻¹
Step-by-step explanation:
9. aₙ = 13 (-2)ⁿ⁻¹
This is a geometric sequence where the first term is 13 and the common ratio is -2.
So the recursive formula is:
a₁ = 13, aₙ = aₙ₋₁ × (-2)
10. a₁ = 2, aₙ = aₙ₋₁ × (-3)
This is a geometric sequence where the first term is 2 and the common ratio is -3.
So the explicit formula is:
aₙ = 2 (-3)ⁿ⁻¹
May you please Simplify this for me
|7−10|
Answer:
Step-by-step explanation:
|7-10|=3
absolute value of any number is always positive
Answer:
-3
Step-by-step explanation:
As the equation is written, you will be subtracting 10 from 7.
Subtract 10 from 7 and you will go past 0.
Your answer will be negative.
I'll give brainist because i can't do it
Answer:
Given
Step-by-step explanation:
Consider triangle ABD and triangle DCA,
AC=BD ( given that they are diameters)
Diameters of the same circle are equal
AD=AD (common side for both triangles)
<BAD= <CDA (angles in semicircles are 90°)
So since the right angle, hypotenuse and side are equal..
ABD is congruent to CDA
(Rhs congruence rule)
Hence proved..
Sophia and Sophie go to the movie theater and purchase refreshments for their friends. Sophia spends a total of $20.50 on 4 bags of popcorn and 2 drinks. Sophie spends a total of $34.50 on 6 bags of popcorn and 4 drinks. Write a system of equations that can be used to find the price of one bag of popcorn and the price of one drink. Using these equations, determine and state the price of a drink, to the nearest cent.
Answer:
let the number of bags of popcorn = x
let the number of drinks = y
4x + 2y = 20.50 --- (1)
6x + 4y = 34.50 --- (2)
from (1) 4x + 2y = 20.50
2y = 20.50 - 4x
y = 10.25 - 2x --- (3)
substitute (3) into (2)
6x + 4y = 34.50
6x + 4(10.25-2x) = 34.50
6x + 41 - 8x = 34.50
-2x = 34.50 - 41
x = -6.5 / -2
x = 3.25 --- (4)
substitute (4) into (3)
y = 10.25 - 2x
y = 10.25 - 2(3.25)
y = 3.75
the price of one bag of popcorn = $3.25
the price of one drink = $3.75
This is the rule for how much fabric she needs to buy. • Measure from your waist to the finished length of the pants • Double this measurement • Add 8 inches 1. Amy's measurement from her waist to the finished length of the pants is 35 inches. How many inches of fabric does she need?
Answer:
She needs 78 inches of fabric.
Step-by-step explanation:
The rule for the amount of fabric that needs to be bought is:
[tex]\text{fabric} = 2*x + 8[/tex]
Where "x" is the distance from the waist to the finished length of the pants. Since Amy's is 35 inches, the amount of fabric is:
[tex]\text{fabric} = 2*35 + 8\\\text{fabric} = 70 + 8\\\text{fabric} = 78 \text{ inches}[/tex]
She needs 78 inches of fabric.
XYZ is a triangle.
XY = 9.3 cm
YZ= 12.4 cm
Angle XYZ= 38°
Work out the area of triangle XYZ.
Give your answer correct to 3 significant figures.
Answer:
Area of ΔXYZ = 35.499 cm²
Step-by-step explanation:
From the figure attached,
In triangle XOY,
Sin38° = [tex]\frac{\text{OX}}{\text{XY}}[/tex]
OX = (XY)Sin38°
OX = (9.3)Sin38°
= 5.7257 cm
Area of a triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(\text{YZ})(\text{OX})[/tex]
= [tex]\frac{1}{2}(12.4)(5.7257)[/tex]
= 35.499 square cm
Therefore, area of the given triangle XYZ = 35.499 cm².
5^x+3=300
solve for X
Answer: x=3.537715
Step-by-step explanation:
5x+3=300
5x+3+−3= 300+ −3
5x=297
Step 2: Solve Exponent.
5x=297
x=3.537715
Hope this helps :)
Which sentence can be represented by the equation 3/5m=15
The sum of 3/5 and a number is 15
Three-fifths more than a number is 15
Three-fifths times a number is 15.
3
The quotient of 3/5 and a number is 15.
Answer:
three-fifths times a number is 15
Step-by-step explanation:
let the unknown number be x
based on the answer above:
3/5 × x = 15
3/5x = 15
Answer: C is the correct answer
Step-by-step explanation:
What is the equation of the line, in slope-intercept form, that passes through (3,-1) and (-1, 5)?
2 x + 3 y - 7 = 0
2 y=-3x+7
ASAP PLEASE
Answer:
[tex]2y = -3x+7[/tex]
Step-by-step explanation:
The coordinates are (3,-1) and (-1,5)
Finding the slope :
Slope = [tex]\frac{rise}{run}[/tex]
Slope = [tex]\frac{5+1}{-1-3}[/tex]
Slope = [tex]\frac{6}{-4}[/tex]
Slope = [tex]-\frac{3}{2}[/tex]
Now Finding y-intercept.
For this, we'll take any point
Let it be (3,-1)
So,
Point = (x,y) = (3,-1)
=> x = 3, y = -1
Putting in slope intercept form to get b
=> [tex]y = mx+b[/tex]
=> -1 = (3)([tex]-\frac{3}{2}[/tex]) + b
=> b = -1 + [tex]\frac{9}{2}[/tex]
=> b = [tex]\frac{7}{2}[/tex]
Putting m and b in the slope intercept form to get the required equation of line
=> [tex]y = mx+b[/tex]
=> [tex]y = \frac{-3x+7}{2}[/tex]
=> [tex]2y = -3x+7[/tex]
PLZZZZZZ HLPPPPP MEEEEEEE how could you find the y coordinate of the midpoint of a vertical line segment with endpoints at (0, 0) and (0, -12)?
CHECK ALL THAT APPLY
A. add the endpoints B. divide 12 by 2 C. divide -12 by 2 D. multiply -12 by 2
Answer:
A. Add the endpoints
C. Divide -12 by 2
Step-by-step explanation:
To find the midpoint of the vertical line segment with endpoints (0, 0) and (0, -12).
Step 1: Add the endpoints (y-coordinates)
0+-12=-12
Step 2: Divide -12 by 2
-12/2=-6
Therefore, the y-coordinate of the midpoint of a vertical line segment is -6.
Options A and C are correct.
5. (03.02 MC)
If f(x) = 2x2 + 4, find f(3).
Answer:
f(3) = 22
Step-by-step explanation:
f(x) = 2x^2 + 4
=>f(3) = 2(3)^2 + 4
= 2(9) + 4
= 18 + 4
= 22
Rafael has 118 baseball cards arranged in an album. Each page of the album can hold 9 cards. How many pages are full and how many cards are on the last page?
Answer:
Dear user,
Answer to your query is provided below
Pages full = 13
Card on last page = 1
Step-by-step explanation:
Rafael has 118 baseball cards.
Each album can hold 9.
So, using multiples of 9 or by dividing 118/9
That 1 is remainder.
So, cards on last page is 1
Verify ,
Pages full = (118-1)/9 = 13
The owner of a manufacturing plant employs eighty people. As part of their personnel file, she asked each one to record to the nearest one-tenth of a mile the distance they travel one way from home to work. The distances for a random sample of six employees are listed below: 26 32 29 16 45 19 Find the variance for the given data.
Answer:
The variance of the given data is 106.9667
Step-by-step explanation:
The variance, S² of a sample is given by the expression;
[tex]S^2 = \dfrac{\sum \left (x_{i}-\bar{x} \right )^{2}}{n-1}[/tex]
Where:
[tex]x_{i}[/tex] = One of the observations
[tex]\bar{x}[/tex] = The mean of the observations
n = Number in the sample = 6
The mean = Σ[tex]x_{i}[/tex]/n = (26 + 32 + 29 + 16 + 45 + 19 )/6 = 167/6 = 27.833
Therefore, we have;
S² = ((26 - 27.833)²+(32 - 27.833)²+(29 - 27.833)²+(16 - 27.833)²+(45 - 27.833)²+(19 - 27.833)²)/(6 - 1) = 106.9667.
Need answer ASAP TY.............................
Answer:
sin(g) = x/z
Step-by-step explanation:
Sine is opposite over hypotenuse. Our opposite is x and our hypotenuse is z. Therefore, our answer is sin(g) = x/z
HELP! URGENT PLEASE!
Answer: -7
Step-by-step explanation:
-3 is across from -7 on the chart, so -7 is the x that houses with the f(x) -3
is M a midpoint of line AB? AB=44, MB=22 a)maybe b)can't determine c)yes d)no (please explain how you got your answer)
Answer:
Yes
Step-by-step explanation:
Yes, M is the midpoint of AB.
The length of the whole line AB is 44. So, if any midpoint is drawn on it, The two parts of the line will be equal and half of the total lines measure.
Whole line's measure = AB = 44
If any Midpoint say "M" is drawn on it, the measures of divided line would be halved.
AM = BM = 44/2 = 22
PLEASE HELP ASAP! Which equation is represented by the graph below? y=e^x+5 y=e^x+4 y=ln x+4 y=ln x+5
Answer:
y = ln(x) + 4
Step-by-step explanation:
Fastest way to do this is to graph each equation into a graphing calc and match it with the given graph.