Answer:
39 cm²Step-by-step explanation:
Area of trapezoid:
A = 1/2(b₁ + b₂)hSubstitute values:
A = 1/2(9 + 4)*6 = 39Answer:
39 cm²
Step-by-step explanation:
Area of a trapezoid: [tex]\frac{a_{1} + a_{2} }{2} h[/tex]
=> [tex](\frac{4 +9}{2}) 6[/tex]
=> [tex](\frac{13}{2} )6[/tex]
=> 13 x 3
=> 39 cm²
Hoped this helped.
(Score for Question 3:
of 3 points)
3. Describe the transformation that takes
(x)=x+1 to g(x) = -x +4.
Answer:
Answer:
It's a rotation of 90 degrees - doesn't matter which way - around the intersection of the two lines
Step-by-step explanation:
Claim: it's a 90 degree rotation around the intersection of f and g.
It's easy to spot the two lines are perpendicular. Let's assume the rotation doesn't happen at the point of intersection [tex]x_0[/tex], but slightly to the side, around let's say, [tex]x_0+\epsilon[/tex]; the new line will coincide with [tex]g(x)[/tex] if and only if [tex]\epsilon = 0[/tex], ie only the rotation happens around the intersection.
Describe how to transform the graph of f(x) = ⎜x⎟ to obtain the graph of the related function g(x). Then draw the graph of g.
Answer:
ssss
Step-by-step explanation:
dddd
4, 13, 5, 8, R, 5, 11
In the data set shown, R is an integer. If the median of the data set is 8 and R < 11, what is a possible value
of R?
Answer:
Answers:
R can be either 8, 9 or 10
============================================================
Explanation:
Let's exclude the R value for now.
The set {4,13,5,8,5,11} sorts to {4,5,5,8,11,13}.
Now we'll include R back in. We're told that R is an integer and it's smaller than 11. The possible values R can take on are: {10, 9, 8, 7, ...} The countdown continues forever into the negative territory.
If R < 4, then we go from {4,5,5,8,11,13} to {R,4,5,5,8,11,13}. That R is guaranteed to be the min value since R is less than the smallest value of the previous set. Note that the middle-most item of the second set is 5; however, we want the median to be 8 instead. This allows us to rule out the case that R < 4.
So we've determined that 4 < R < 11. Because R is an integer, we can say it takes on the values from the set {5,6,7,8,9,10}
------------------------------
If R = 5, then {4,5,5,8,11,13} updates to {4,5,5,5,8,11,13} after adding in that R value. We can see the median is 5, so we can rule out the case that R = 5.
Similarly, we can rule out R = 6 as well. The set {4,5,5,8,11,13} updates to {4,5,5,6,8,11,13} in which the median is 6.
If R = 7, then the median is 7 for similar reasoning and we can rule out this R value.
So we've ruled out the cases that R = 5, R = 6 and R = 7.
If we tried R = 8, then {4,5,5,8,11,13} becomes {4,5,5,R,8,11,13} = {4,5,5,8,8,11,13}. This set has a median of 8 and R = 8 is one of the answers.
-------------------------------
Now let's consider the possibility that 8 < R < 11.
If for instance R = 9, then {4,5,5,8,11,13} becomes {4,5,5,8,9,11,13} to show that this set also has a median of 8. R = 9 is another answer.
The same idea happens when R = 10 as well because we get {4,5,5,8,10,11,13}. R = 10 is another answer.
-------------------------------
In short, R can be any of the following values: 8, 9, 10
I need help I don't understand
Answer:
2nd one
Step-by-step explanation:
I know this because I learned about this
Is (1,0) (3,0), (1,1) (3,1) (1,3) a function
Answer:
yes
Step-by-step explanation:
. A National Institute of Health survey of 40467 U.S adults found that 3156 of them experienced at least one major depressive episode in the previous year. Make a 95% confidence interval for the proportion of all U.S. adults who experienced depression in that year. (Source: https://www.nimh.nih.gov/health/statistics/major-depression)
Using the confidence interval for sample proportion formula, the C.I is (0.075; 0.081)
Using the relation :
[tex]p ± z_{crit} \sqrt{ \frac{p(1 - p)}{n} } [/tex]
Sample size, n = 40467Sample proportion, p = 3156/40467 = 0.078Zcrit at 95% = 1.96Margin of Error = [tex] 1.96 \sqrt{ \frac{0.078(0.922)}{40467} } [/tex] Margin of Error = 0.0026128Lower boundary = 0.078 - 0.0026128 = 0.075
Upper boundary = 0.078 + 0.0026128 = 0.081
Hence, the confidence interval is (0.075; 0.081)
Learn more :
Write an equation for each line in slope-intercept form.
Answer:
Line 1 : y = -2x - 5
Line 2 : y = -3x + 3
Step-by-step explanation:
note the slope, and then note the y intercept
Answer:
y = - 2x - 5 and y = - 3x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = - 2, - 1) and (x₂, y₂ ) = (0, - 5) ← 2 points on the line
m = [tex]\frac{-5-(-1)}{0-(-2)}[/tex] = [tex]\frac{x- 5+1}{0+2}[/tex] = [tex]\frac{-4}{2}[/tex] = - 2
The line crosses the y- axis at (0, - 5 ) ⇒ c = - 5
y = - 2x - 5 ← equation of line 1
Repeat with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (1, 0) ← 2 points on line 2
m = [tex]\frac{0-3}{1-0}[/tex] = [tex]\frac{-3}{1}[/tex] = - 3
The line crosses the y- axis at (0, 3 ) ⇒ c = 3
y = - 3x + 3 ← equation of Line 2
3) Solve this system using elimination method. Upload your work
8x + 14 y = 4
-6x - 7y=-10
Answer:
y = -2 and x = 4
Step-by-step explanation:
8x + 14y = 4
-6x - 7y = -10
First, find the lowest common multiple of 8 and 6 (which is 24). Multiply the first equation by 3:
8x + 14y = 4
3(8x + 14y) = 3(4)
24x + 42y = 12
Multiply the second equation by 4:
-6x - 7y = -10
4(-6x - 7y) = 4(-10)
-24x - 28y = -40
Now, add the two equations together:
24x + 42y = 12
-24x - 28y = -40
24x + -24x = 0
42y + -28y = 14y
12 + -40 = -28
14y = -28
Divide both sides by 14:
14y ÷ 14 = -28 ÷ 14
y = -2
Plug this known variable back into the first equation:
8x + 14(-2) = 4
8x + (-28) = 4
8x - 28 = 4
Add 28 to both sides:
8x - 28 + 28 = 4 + 28
8x = 32
Divide both sides by 8:
8x ÷ 8 = 32 ÷ 8
x = 4
So y = -2 and x = 4.
Hope this helps!
3/10 = ___ x 1/10
pls help i'll give brainiest
Answer:
1/10 x 30/10=30/100 then simplify =3/10
Step-by-step explanation:
Hope I helped please mark brainliest!
Triangle PIN is rotated -270 degrees about the origin.
Draw the image of this rotation.
If triangle PIN is rotated -270 degrees about the origin, the new point is at:
P'(-3, 2), I'(7, 7) and N'(7, -2)
Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, reflection, rotation and dilation.
If a point A(x, y) is rotated -270 degrees about the origin, the new point is at A'(-y, x).
The triangle PIN has vertices at P(2, 3), I(7, -7) and N(2, -7). If it is rotated -270 degrees about the origin, the new point is at:
P'(-3, 2), I'(7, 7) and N'(7, -2)
Find out more at: https://brainly.com/question/11707700
Answer:
P=(-3,2)
I=(7,7)
N=(7,2)
Step-by-step explanation:
khan
help only answer if you know!!!!
Subtract.
18 7/12−9 4/12
8
8 1/3
9
9 1/4
Answer:
9 1/4
Step-by-step explanation:
I hope this helps! it should be correct
If the simple interest on 4,000 for 10 years is 2,400 then what is the interest rate
Answer:
6%
Step-by-step explanation:
I =Prt I being interest paid, P is Principal, r is rate, t is term
2400=4000x r x 10
2400=40000r
2400/40000=.06 convert to percentage by multiplying by 100 x. 06=6
Someone please help! Thank you in advance!
Answer:
58ft
Step-by-step explanation:
100-60=40
40+18=58
the answer is 58ft
(brainliest plz)
What is the measure of _____?
Answer:
112°
Step-by-step explanation:
3x+22+2x+8=180
5x+30=180
5x=150
x=30
3x+22
3(30)+22
90+22
112
Select the correct answer.
Which statement is a converse of p?
p: If every fourth card drawn is a spade, then 25% of the cards in a deck would be spades.
A. If 25% of the cards in a deck are spades, then every fourth card drawn would be a spade.
B. If every fourth card drawn isn't a spade, then 25% of the cards in a deck aren't spades.
C. If 25% of the cards in a deck aren't spades, then every fourth card drawn wouldn't be a spade.
D. If every fourth card drawn isn't a spade, then 75% of the cards in a deck are spades.
C is the correct answer.
hey guys can u check my answers, if you see one thats not correct pls correct me!
Answer:
b. 300 c. 18 d. 30
Step-by-step explanation:
b. 400/4=100, 100*3=300
c.0.3*10=3, 3*6=18
d.0.75*10=7.5, 7.5*4=30
Answer:
B C and D are incorrect
Step-by-step explanation:
1/2 • 13 is 6.5
3/4 • 400 = 300
(0.3)•60 = 18
(0.75) • 40 = 30
Brainliest please
PLS HELPP me asap no bots
Cutting in one minute = 105 ÷ 3 = 35 cuts
Now for six machine = 35 × 6 = 210 parts.
So, the option C. 210 parts is correct answer.
PART BAs, 20 × 3 = 60 seconds
Parts can be stamped in one minute = 24 × 3 = 72
So, time required [tex] = \frac{4320}{72} \\ = 60 \: minutes[/tex]
So, the option D. 60 minutes is c correct answer
х
4.
1
6 11
y
-3
-2
-1
0
slope:
Answer:
slope = [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 4, - 3) and (x₂, y₂ ) = (11, 0) ← 2 ordered pairs from the table
m = [tex]\frac{0-(-3)}{11-(-4)}[/tex] = [tex]\frac{0+3}{11+4}[/tex] = [tex]\frac{3}{15}[/tex] = [tex]\frac{1}{5}[/tex]
simplify-3 divided by (-2/5)
Decimal form: 7.5
Fraction form: 15/2
Improper fraction: 7 1/2
Hope this is enough! :D
Divide 5097 by 10 and write the answer as a mixed number
What does "for example" tell readers about the sentence it introduces?
1. that they're about to be introduced to a new idea
2. that it's a sentence that will show them a similarity
3. that it's sentence will show them a difference
4. that they're about to hear an example of the idea in the previous sentence
Answer:
The answer is option 4., but this question does not belong in the math section.
please help for brainlist you need to be accurate tho
Answer:
3.5t +5
Step-by-step explanation:
We are looking for the total distance
5 miles is the first distance traveled.
Then after the break they travel at a rate of 3.5 miles per hour for t hours
That distance is 3.5t
The total distance traveled is
5+3.5t
Rewriting the order
3.5t +5
YES I WILL MARK BRAINLIST:D
Sarah is going to the food truck with her friends. Hot dogs cost $2 and drinks cost $3. She has a total of $24 that she can spend. The equation 2x+3y=24 represents this scenario.
Determine the amount of hotdogs that can be purchased if Sarah orders 4 drinks.
Question 4 options:
4 hotdogs
7 hotdogs
6 hotdogs
5 hotdogs
Answer:
6 hotdogs
Step-by-step explanation:
:)
Hayley learned a total os 13 appetizer recipes over the course of three weeks of culinary school. how many weeks does she need to complete to have learned 21 appetizers ?
Answer:
5 would be the answer.
Step-by-step explanation:
13 divided by 3(weeks) = 4.3
4.3 x 5 = 21.
= 5.
Like terms can be ________
this is fill - up question
Answer:
.the same variables and same powers
Step-by-step explanation:
In algebra, like terms are terms that have the same variables and powers. The coefficients do not need to match. Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers.
HOPE IT HELPS...............
find the square root of each by division method:
a) 225 b) 961 c) 3969 d) 10404
If you can give the correct answer first, I'll mark the brainliest.
Refer to the attachment
Answer:
[tex]\sqrt[2]{225} =15[/tex], [tex]\sqrt[2]{961} =31[/tex], [tex]\sqrt[2]{3969} =69[/tex], [tex]\sqrt[2]{10404} =102[/tex]
Step-by-step explanation:
[tex]\sqrt[2]{225} =\sqrt{15*15}=15[/tex]
[tex]\sqrt[2]{961}=\sqrt{31*31} =31[/tex]
[tex]\sqrt[2]{3969} =\sqrt{69*69} =69[/tex]
[tex]\sqrt[2]{10404} =\sqrt{102*102}=102[/tex]
NEED HELP show your work
Simplify the expression √8x^5 / z1
Answer:
3/4
Step-by-step explanation:
Emma has addressed seven invitations to her
birthday party. This is one more than half of the
invitations that she intends to send. How many
invitations does she intend to send?
Answer:
12
Step-by-step explanation:
This can be solved by working backwards.
7 is one more than half the number of invitations.
Subtract 1. 6 is half the number of invitations.
Double.
12 is the full number of invitations.
Algebra (if you must!):
x = number of invitations
x/2 + 1 = 7
Subtract 1.
x/2 = 6
Multiply by 2.
x = 12
Answer:
12
Step-by-step explanation:
7-1=6
6x2=12
How do I know which region to shade for this inequality
y ≤ 2x + -4?
Answer:
You look at the sign between y and 2x
Step-by-step explanation:
To find which way to shade, look at your symbol. The symbol you have is a less than or equal to, you shade to the left. Because it has the line underneath, you have a closed circle. (This is for line plots so I don't know if this completely helps)
Hopefully it does help though!!
Which function has the smallest y-intercept value?
A
у
4
4
h(x)
2.
X
- 2
2.
4
+2
4
OB.
(x) =
= 2 + 10
A linear function, f, with an x-intercept of 3 and a y-Intercept of 6.
OC.
OD.
х
1
2
3
4
g(x)
1
-4
-9
-14
Answer:
Could you... put it normally?
Step-by-step explanation:
It's kinda confusing to read, so much understand