Always substitute variable first !
10(10) - ( 10x6 - 2(6) )
100- ( 60-12)
100 - 48
52!
Using the matrix solver on your calculator, find the solution to the system of
equations shown below.
2x - 4y = 4
x - 2y = 8
Answer:
x = 5
y = - 3/2
Step-by-step explanation:
[tex]\left \{ {{2x-4y =4} \atop {x-2y=8}} \right.[/tex]
The augmented matrix is :
[tex]\left[\begin{array}{ccc}2&-4&4\\1&-2&8\\\end{array}\right][/tex]
Now; to Row operations
Swap row 2 to row 1
[tex]\left[\begin{array}{ccc}1&-2&8\\\\2&-4&4 \end{array}\right][/tex]
Multiply row 1 with 2 and add to row 2 ;
1(2) = 2
-2(2) = -4
8(2) = 16
2 +2 = 4
4 +(-4) = 0
16+ 4 =20
Now; we have:
[tex]\left[\begin{array}{ccc}1&-2&8\\\\4&0&20 \end{array}\right][/tex]
changing row 2 back to equation form:
4x + 0y = 20
4x = 20
x = 20/4
x = 5
substituting x = 5 in row 1
x - 2y = 8
5 - 2y = 8
-2y = 8 -5
-2y = 3
y = - 3/2
Find the surface area of the figure. Round to the nearest hundredth.
Answer:
Step-by-step explanation:
true or false a survey is the only way to collect date
Answer:
False and also the last word is data not date.
Step-by-step explanation:
Answer:
false
Step-by-step explanation:
you and your friend are walking through town. there is a building making a 90 degree angle with the ground and you are standing 40ft away looking up and a 30 degree angle. how tall is the building?
Answer:
tan 30 = height of building / 40
height = 40 × 1/√3=40/√3
or = 23.1 feet
A cone has a height of 7 ft and a radius of 4 ft. Which equation can find the volume of the cone?
v=5x(72)(4) 4°
v-}*(417)
V = 38(72)(4) ft
V = 3x(42)(7)
V = one-third pi (4 squared) (7) feet cubed
Step-by-step explanation:
Volume of cone v = 1/3×π(r²h)
r = 4 and h = 7
V = 1/3 × π(4²×7)
So B
what is the value of x?
Answer:
you need a d/protector to do this
Step-by-step explanation:
given that DEF XYZ , what is the measure of z? brainly
Answer:
77
Step-by-step explanation:
So first off, we know that those two triangles are congruent triangles, so those have the same measures. All angles have the same measures. We also know that all angles equal to 180 degrees.
So imagine putting them together:
So then you do 57+ 46=103
180-103=77
Hence the measure of z is 77 degrees
What are the coordinates of point K?
(-
)
()
Answer:5/8 and 1/4
Step-by-step explanation:
The coordinates of point K can be given by (-1/4, 5/8).
What are cartesian coordinates?Cartesian coordinates are the values on a graph that can be used to show the location of a point on the graph.
The coordinates of point K can be found as follows:There are 4 lines between 0 and -1 on the x-axis which divide it into 4 equal parts.
Point K lies on the first line. This means that the x-coordinate of the point is -1/4.
There are 8 lines between 0 and 1 on the y-axis which divide it into 8 equal parts.
Point K lies on the fifth line. This means that the y-coordinate of the point is 5/8.
From this, we can understand that the coordinates of the point K on the graph can be given by (-1/4, 5/8).
Therefore, the coordinates of point K can be given by (-1/4, 5/8).
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Evalaute the expression 3x + (z+2y)-12, if x=3, y=8 and z=5
please help rn
Answer:
18
Step-by-step explanation:
3x + (z + 2y) - 12, if x = 3, y = 8 and z= 5.
3*3 + (5+2*8) - 12
9 + (5 + 16) - 12
9 + 21 - 12
30 - 10 - 2
20 - 2
18
Answer:
18
Step-by-step explanation:
First what you would do is plug in the numbers.
3x3+(5+2x8)-12
Then you would multiply 2 times 8 and get 16. Then add 16 and 5 and get 21.
3x3+(21)-12
Then you add 3 times 3 and get 9.
9+21-12
Then you solve left to right. Then you add 9 and 21 and get 30. Last you subtract by 30 by 12 and get 18.
Given these what is X if B-X=A
Answer:
B
Step-by-step explanation:
B-X=A
or
B-A=X
or
X=B-A
[tex]X=\left[\begin{array}{ccc}-5&-1&6\\4&1&2\\0&-3&2\end{array}\right] -\left[\begin{array}{ccc}-1&-2&3\\4&8&-6\\0&1&5\end{array}\right] \\=\left[\begin{array}{ccc}-5+1&-1+2&6-3\\4-4&1-8&2+6\\0-0&-3-1&2-5\end{array}\right] \\=\left[\begin{array}{ccc}-4&1&3\\0&-7&8\\0&-4&-3\end{array}\right][/tex]
Answer:
answer is B
Step-by-step explanation:
Find the total surface area of the prism
Answer:
217 sqft
Step-by-step explanation:
the total area can be divided into 6 parts:
2 triangles, 2 rectangles(height 5, length 8) and 2 rectangles(height 7, length 8)
Therefore the area can be calculated as :
2* (1/2* 5*5) + 2*5*8+2*8*7 = 217 sqft
Mr. Smith plans to build a 3-foot-wide walkway
around the outside of the cabin, as shown in the floor
plan. What will be the area, in square feet, of the top
surface of the walkway?
A. 171
B. 324
360
396
720
Answer:
360
Step-by-step explanation:
The area of the top surface of rectangular cabin walkway is given by the equation A = 360 feet²
What is the Area of a Rectangle?The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle
Area of Rectangle = Length x Width
Given data ,
Let the area of the rectangular cabin be represented as A
Now , the initial length of the cabin = 30 feet
The initial width of the cabin = 24 feet
And , Mr. Smith plans to build a 3-foot-wide walkway around the outside of the cabin
So , the increased length of the rectangular cabin = 30 + 6 = 36 feet
The increased width of the rectangular cabin = 24 + 6 = 30 feet
Now , Area of Rectangle = Length x Width
Substituting the values in the equation , we get
Area of rectangular cabin A = 36 x 30
Area of rectangular cabin A = 1080 feet²
Now , the area of the cabin before increment of sides = 24 x 30
The area of the cabin before increment of sides = 720 feet²
So , the area of the walkway = 1080 - 720 = 360 feet²
Area of rectangular cabin walkway A = 360 feet²
Hence , the area of the rectangular cabin walkway is 360 feet²
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2. An advertiser wants to find convincing evidence that television viewers
remember more than 4 commercials, on average, after watching a 30 minute TV
program. They take a random sample of 100 television viewers and ask them
how many commercials they could remember after watching a 30 minute TV
program. The appropriate t-test was conducted, which resulted in a P-value of
0.15. Assuming all conditions were met, which of the following is an appropriate
conclusion?
(A) Because the P-value is less than 0.05, at the 5% significance level, there is not
convincing evidence that television viewers remember more than 4 commercials, on
average, after watching a 30 minute TV program.
(B) Because the P-value is greater than 0.05, at the 5% significance level, there is
convincing evidence that television viewers remember fewer than 4 commercials, on
average, after watching a 30 minute TV program.
(C) Because the P-value is greater than 0.01, at the 1% significance level, there is not
convincing evidence that television viewers remember more than 4 commercials, on
average, after watching a 30 minute TV program.
(D) Because the P-value is greater than 0.01, at the 1% significance level, there is
convincing evidence that television viewers remember exactly 4 commercials, on
average, after watching a 30 minute TV program.
(E) Because the P-value is less than 0.01, at the 1% significance level, there is convincing
evidence that television viewers remember fewer than 4 commercials, on average, after
watching a 30 minute TV program.
Answer:
C
Step-by-step explanation:
Choose all of the terms that can be used for x in a function.
Answer:
Eg.y=3x
Step-by-step explanation:
Answer:
Eg.y=3x
Step-by-step explanation:
Please help! Its one of my last! Please include steps as well since i have to show work. I will give brainliest.
Answer:
600 sq mm
Step-by-step explanation:
I divided the shape into 2 shapes and found each shapes area and after that added both of its area to find the area of the above shape
area of rectangle= b x h
so, 15x30=450mm (square)
area of triangle= b x h (divided) 2
so, 10x30=300 (divided) by 2
= 150mm (square)
so, 450 (plus) 150= 600mm (square)
Points A, B, and C are plotted on the unit circle.
Which of the coordinates is equal to cos(160)?
Answer:
Point B is equal to cos(160)
Step-by-step explanation:
160 deg is 160 deg counter-clockwise angle from +x-axis.
Hope this helps!
:)
Answer:
x coordinate of point B
Step-by-step explanation:
yw
The radius of a circle is 11.4 cm. Find the circumference \textit{to the nearest tenth}to the nearest tenth.
Answer:
71.60 cm
Step-by-step explanation:
To round 71.63 to the nearest tenth, consider the hundredths value of 71.63, which is 3 and less than 5. Therefore, the tenths value remains 6 and you get rid of the 3 since it is less than 5.
Answer:
the circumference is 71.63 but that number rounded to the nearest tenth is 71.60 cm. when a number is rounded to the nearest tenth in a decimal the last two numbers are rounded. because 3 is less than five then that means we turn it into a zero then we get 71.60
Step-by-step explanation:
ASAP!!
consider the diagram below.
which of the following is the value of x?
a- 2
b- 11
c- 20
d- 29
Answer:
(CHOICE C)
X= 20
Step-by-step explanation:
SOLVE FOR X AND USE 45* ANGLE FOR HELP.
(4x + 30)
What’s the answer
Answer:
Fraction form -15/2
Decimal form -7.5
Step-by-step explanation:
4x+30=0
subtract 30 from both sides
4x=-30
divide both sides by 4
x=-30/4
simplify
-15/2 or -7.5
Which is the better buy: one gallon of orange juice for $2.72 or four quarts of
orange juice at $0.48 per quart?
0.48 per quart is better
Step-by-step explanation:
0.48x4=1.92 < 2.72
(10 points!!) help please
Answer:
66
Step-by-step explanation:
ก
Name the natural regions in Texas.
Answer:
the Gulf Coastal Plains, the Great Plains, the North-Central Plains and the Basin and Range.
Step-by-step explanation:
y=|x| (What is the range of this function?)
Answer:
Any number both positive or negative.
y = {all numbers}
Step-by-step explanation:
Answer:Any number both positive or negative.
Step-by-step explanation:y=(all numbers)
You open your first interest-bearing savings account with an initial deposit of
$2,500. Interest is compounded quarterly at a rate of 3.5%. Assuming you do not
deposit any more money into the account, how much money will you have in the
account after 5 years?
Answer:
$2,975.85
Step-by-step explanation:
Lets use the compound interest formula provided to solve this:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
P = initial balance
r = interest rate (decimal)
n = number of times compounded annually
t = time
First, change 3.5% into a decimal:
3.5% -> [tex]\frac{3.5}{100}[/tex] -> 0.035
Since the interest is compounded quarterly, we will use 4 for n. Lets plug in the values now:
[tex]A=2,500(1+\frac{0.035}{4})^{4(5)}[/tex]
[tex]A=2,975.85[/tex]
After 5 years, the account will have $2,975.85
Which equation should be used to find the volume of the figure?
8 in.
10.jn.
4 in.
6 in
V=(6)(418)
/ -2(6)4)8)
v=3(0)(4)(10)
Mark this and return
An equation which should be used to calculate the volume of the geometric figure (see attachment) is: A. V = 1/3(6)4)(8).
How to calculate the volume of a pyramid?Based on the geometric figure shown, we can logically deduce that it is a pyramid. Mathematically, the volume of a pyramid can be calculated by using this formula:
Volume = 1/3 × b × h
Where:
h is the height.b is the base area.Substituting the parameters into the formula, we have:
Volume = 1/3 × 6 × 4 × 8
Volume = 1/3(6)4)(8).
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Which expression is equal to 420−−√−345−−√?
115√
−115√
5√
−5√
Answer:
[tex]-\sqrt{5}[/tex]
I hope that this helps anyone in the future! I took the test and got a good grade thanks to the anwser above
BRAINLIEST WILL BE GIVEN!!! HURRY!
What is the surface area of the entire sculpture? Use 3.14 for π.
*Surface area of the entire sculpture = Surface area of the cube - Surface area of the two circles + Curved surface area of the cylinder
*Surface area of the cube = 6s² (6 x side x side)
*Surface area of the two circles = 2πr² (2 x 3.14 x radius x radius)
*Curved surface area of the cylinder =2πrh (2 x 3.14 x radius x height)
Answer:
717.75cm ^2
Step-by-step explanation:
6(10)(10)= 600
2(3.14)(2.5)(2.5)= 39.25
2(3.14)(2.5)(10)= 3.14(5)(10)= 157
600-39.25+157= 717.75
On a coordinate plane, 2 parallelograms are shown. Parallelogram 1 has points (0, 2), (2, 6), (6, 4), and (4, 0). Parallelogram 2 has points (2, 0), (4, negative 6), (2, negative 8), and (0, negative 2).
How do the areas of the parallelograms compare?
The area of parallelogram 1 is 4 square units greater than the area of parallelogram 2.
The area of parallelogram 1 is 2 square units greater than the area of parallelogram 2.
The area of parallelogram 1 is equal to the area of parallelogram 2.
The area of parallelogram 1 is 2 square units less than the area of parallelogram 2.
Answer:
The answer is: A. The area of parallelogram 1 is 4 square units greater than the area of parallelogram 2.
Step-by-step explanation:
Hope this helped :)
Answer:
A
Step-by-step explanation:
Please help me with this question I will mark you as the best answer if correct
Answer:
Line : y = ax + b, passes (0, 3) and (2, -3)
=> b = 3
=> 2a + b = -3
=> a = -6/2 = -3
=> Slope a = -3
=> Option D is correct
Hope this helps!
:)
Answer:
D is the answer
Step-by-step explanation:
Slope = rise / run
Slope = y2-y1 / x2-x1
Where coordinates are
(0,3),(2,-3)
So x1=0,y1=3 , x2=2 , y2= -3
Slope= -3-3/ 2-0
Slope = -6/2
Slope = -3
Can someone help me find the evaluation for #20 I need to show my work
