Answer: Consistent (and independent)
Step-by-step explanation:
The meaning of the options are:
Consistent (and independent): There is only one point of intersection between the two lines.
Inconsistent: The lines never touch each other, this only can happen when the lines are parallel, so they have the same slope but a different y-intercept.
Equivalent (also called consistent and dependent): This happens when both lines are the same line, so they intersect in an infinite number of points.
In the graph, we can see that the lines intersect in only one point, then we can conclude that the system is consistent.
Answer:
Consistent
Step-by-step explanation:
Determine the dimensions of a rectangular solid (with a square base) with maximum volume if its surface area is 529 square meters. Round each dimension to 4 decimal places
Answer:
[tex]x=23/\sqrt{6}[/tex],
[tex]y= \frac{23}{6\sqrt{6}}[/tex]
Step-by-step explanation:
From the question we are told that
Surface area is 529 square meters
Generally the dimensions of the cuboid
[tex]v=x^y[/tex]
[tex]D=4xy+2x^2 =529[/tex]
[tex]V=x^29(\frac{529-6x^2}{4x})[/tex]
[tex]V' =529-6x^2/4[/tex]
[tex]v'=0[/tex]
Therefore
[tex]529=6x^2[/tex]
[tex]x=\sqrt{\frac{529}{6} }[/tex]
[tex]x=23/\sqrt{6}[/tex]
Mathematically
[tex]v''=\frac{12x}{4}[/tex]
[tex]v''=-3\frac{23}{\sqrt{6} }<0[/tex]
[tex]y= \frac{529-2*(\frac{529}{6} }{4*\frac{23}{\sqrt{6} } }[/tex]
[tex]y= \frac{23}{6\sqrt{6}}[/tex]
Therefore
[tex]x=23/\sqrt{6}[/tex]
and
[tex]y= \frac{23}{6\sqrt{6}}[/tex]
Can someone please help me with this. I'll give 50 points!
Answer:
the second one
Step-by-step explanation:
Answer:
2nd answer
Step-by-step explanation:
x less than -3
Emily is entering a bicycle race for charity. Her mother pledges $0.60 for every 0.75 mile she bikes. If Emily bikes 21 miles, how much will her mother donate?
Her mother will donate $
There are 99 females and 121 males participating in a marathon. What percent of the participants are male
Answer:
0.55 = 55%
Step-by-step explanation:
total people: 220
121/220 = 11/20 = 55%
brainileist pweeeeeez
Answer:
55%
Step-by-step explanation:
121/99+121
0.55
55%
if 50% is 10 what is 75%
Answer:
15
Step-by-step explanation:
hhwkdveiwvsjzvejdif
I need help...
Please help to find ...
Answer:
NEED TO FIND WHAT
Step-by-step explanation:
If 2 quarts of paint are needed for 75 ft of fence, how many quarts are needed for 900 ft of fence
Answer:
24 quarts
Step-by-step explanation:
1 qrt = 75/2 = 37.5
900 / 37.5 = 24
A worker bee has a mass of 0.00011 \text{ kg}0.00011 kg0, point, 00011, start text, space, k, g, end text.
Choose the best approximation of the mass of a worker bee.
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
1 \cdot 10^{-4}\text{ kg}1⋅10
−4
kg1, dot, 10, start superscript, minus, 4, end superscript, start text, space, k, g, end text
(Choice B, Checked)
B
1 \cdot 10^{-3}\text{ kg}1⋅10
−3
kg1, dot, 10, start superscript, minus, 3, end superscript, start text, space, k, g, end text
An African elephant has a mass of 8139 \text{ kg}8139 kg8139, start text, space, k, g, end text.
Choose the best approximation of the mass of an African elephant.
Choose 1 answer:
Choose 1 answer:
(Choice A, Checked)
A
8 \cdot 10^{3}\text{ kg}8⋅10
3
kg8, dot, 10, cubed, start text, space, k, g, end text
(Choice B)
B
8 \cdot 10^{4}\text{ kg}8⋅10
4
kg8, dot, 10, start superscript, 4, end superscript, start text, space, k, g, end text
Approximately how many times as large is the mass of an African elephant as the mass of a worker bee?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
8\cdot 10^68⋅10
6
8, dot, 10, start superscript, 6, end superscript
(Choice B)
B
8\cdot10^78⋅10
7
8, dot, 10, start superscript, 7, end superscript
(Choice C)
C
8\cdot10^88⋅10
8
Answer:
Answer:
1). Option (A)
2). Option (A)
Step-by-step explanation:
1). A worker bee has the mass = 0.00011 kg
In scientific notation we can convert the mass of bee as,
0.00011 =
=
Since 1.1 ≈ 1,
Therefore, 1.1 × 10⁻⁴ ≈ 1 × 10⁻⁴ kg
Option (A) is the answer.
2). An African elephant has a mass = 8139 kg
In scientific notation,
8139 = 8.139 × 10³
Since, 8.139 ≈ 8
Therefore, 8139 kg = 8.139 × 10³ kg
Option (A) is the answer.
Step-by-step explanation:
Use the rules of significant figures to answer the following question:
54.313 × 12.09
A. 657
B. 660
C. 656.64
D. 656.6
Please help me solve this !:)
Explain your answer
I will give braisnlt .
Answer:
A a rotation 180 degrees about the origin seems right
Answer:
B
Step-by-step explanation: Too easy to explain
How many terms are in this expression?
3n+2m+1
Answer:
three
Step-by-step explanation:
3n+2m+1
There are three terms in the expression
3n, 2m, and 1
Answer:
three terms are in this experssion 3n+2m+1
-4x + 12 = -6x
Step 1: Add 4x to both sides:
12 = -6x + 4x
Step 2: Combine like terms:
12 = -2x
uh- this is the correct way to answer the problem....
−4x+12=−6x
Step 1: Add 6x to both sides.
−4x+12+6x=−6x+6x
2x+12=0
Step 2: Subtract 12 from both sides.
2x+12−12=0−12
2x=−12
Step 3: Divide both sides by 2.
[tex]\frac{2x}{2}[/tex] = [tex]\frac{-12}{2}[/tex]
x=−6
Triangle IHJ is similar to triangle RST.
What is the length of side _
RT
Find the unit tangent vector at the given value of t for the following parameterized curves.
r(t)= ⟨7–√e^t,3e^t,3e^t⟩
, for 0≤t≤1
; t=ln 2
Answer:
[tex]T(ln2)[/tex][tex]= <\sqrt{145} , \frac{6\sqrt{2} }{\sqrt{145} } , \frac{6\sqrt{2} }{\sqrt{145} } >[/tex]
Step-by-step explanation:
Given : [tex]r(t)=<7-\sqrt{e^t}, 3e^t,3e^t > .........(i)[/tex]
We first have to differentiate of equation [tex](i)[/tex]
[tex]r'(t) = < \frac{\sqrt{e^t} }{2} , 3e^t,3e^t> ..........(ii)[/tex]
Now to get a unit tangent vector at the given value of [tex]t[/tex], we put [tex]t = ln2[/tex] in equation [tex](ii)[/tex]
[tex]r'(ln2) = < \frac{\sqrt{e^{ln2}} }{2} , 3e^{ln2},3e^{ln2}>[/tex]
[tex]= <\frac{1}{\sqrt{2} } ,6,6>[/tex] [∵[tex]e^{lna}=a[/tex]]
Now to get a unit tangent vector , we will divide our vector [tex]r'(ln2)[/tex] by its magnitude. So let's first find the magnitude.
[tex]|r'(ln2)|=\sqrt{(\frac{1}{\sqrt{2} } )^2 +6^2+6^2}[/tex]
[tex]= \sqrt{\frac{1}{2}+36+36 }[/tex]
[tex]= \sqrt{\frac{145}{2} }[/tex]
Now we can find the our unit tangents vector.
[tex]T(ln2)=\frac{r'(ln2)}{|r'(ln2)|}[/tex]
[tex]= \frac{<\frac{1}{\sqrt{2}} ,6,6> }{\sqrt{\frac{145}{2}} }[/tex]
[tex]= <\frac{\frac{1}{\sqrt{2} } }{\sqrt{\frac{145}{2}} } ,\frac{6}{{\sqrt{\frac{145}{2}} }}, \frac{6}{{\sqrt{\frac{145}{2}} }} >[/tex]
[tex]= <\sqrt{145} , \frac{6\sqrt{2} }{\sqrt{145} } , \frac{6\sqrt{2} }{\sqrt{145} } >[/tex]
Hence, [tex]T(ln2)[/tex] [tex]= <\sqrt{145} , \frac{6\sqrt{2} }{\sqrt{145} } , \frac{6\sqrt{2} }{\sqrt{145} } >[/tex]
While on a trip, you notice that the video screen on the airplane, in addition to showing movies and news, records your altitude (in kilometers) above the ground.
As the plane starts its descent
(at time x = 0), you record the following data: Time, x (min.) Altitude, y (km)
12 0 10 8 16 16 18 4 110 12
If you were to graph these points on a graph, you would notice that the line that forms represents a linear function. What is the practical meaning of slope in this situation?
a. For every minute that passes, the airplane descends 1 kilometer.
b. For every minute that passes, the airplane ascends 1 kilometer.
c. For every 2 minutes that passes, the airplane descents 1 kilometer.
d. For every minute that passes, the airplane ascends 2 kilometers. C.
Answer:
a
Step-by-step explanation:
edg 2020
For every minute that passes, the airplane descends 1 kilometer. then option a is correct.
How to find the rate of change of a linear equation?Suppose that the considered linear equation is of the form
y=mx+c
Then, when we change x by 1 unit, then:
The rate of change is the slope. The formula for slope is
m = y2 - y1 / x2 - x1
Using the first two points, (0, 12) and (2, 10), we have
m = (10-12)/(2-0)
m = -2/2
m = -1
This means the plane descends 1 km per minute which means in 3 minutes' time, the plane descends 3 km.
Therefore, option a. For every minute that passes, the airplane descends 1 kilometer.
Learn more about the rate of change of a linear equation here:
https://brainly.com/question/12786410
#SPJ5
HELLPPP PLEASE WILL GIVE BRAINLIEST
Answer:
25
Step-by-step explanation:
90-65=25
jason voorhes was buying hocky masks. 1 hockey mask cost 10 dollars how much does 10 masks it cost in all?
Answer:
$100
Step-by-step explanation:
since 1 hockey mask costs $10 and you need 10 masks you can multiply 10x10 and you will get 100
Which pair of expressions is equivalent? 2(x + 5) and 2x + 10 B. 3x – 6 + 4x + 9 and 7x + 15 0. C. 4y - 2) and 4y - 2 0 D. 5y + 12 - 3y and 2y – 12
Answer:
A
Step-by-step explanation:
the equivalent pair of expression are 2(x+5)and 2x+10
10=2x-20 solve for x
Answer:
[tex]10 = 2x - 20 \\ 10 + 20 = 2x \\ \frac{30}{2} = \frac{2x}{2} \\ 15 = x[/tex]
Please help with this
Answer: pretty sure its 85
Step-by-step explanation:
Answer:
85°
Step-by-step explanation:
Line segment AB || line m
Therefore, BC is transversal.
[tex] \therefore m\angle ABC + (m\angle ACB +m\angle A D) = 180\degree[/tex]
[tex] \therefore m\angle ABC + (55\degree + 40\degree) = 180\degree[/tex]
[tex] \therefore m\angle ABC + 95\degree = 180\degree[/tex]
[tex] \therefore m\angle ABC = 180\degree -95\degree [/tex]
[tex] \therefore m\angle ABC = 85\degree [/tex]
-3a + 4 = -14
What the answer to this
Answer:
-6
Step-by-step explanation:
-3a + 4 = -14
-3a = -14 - 4
-3a = -18
a = -18 / 3
a = -6
Answer:
a = 6
Step-by-step explanation:
Step 1: Subtract 4 from both sides.
-3a + 4 - 4 = -14 - 4
+4 and -4 cancel out.
Step 2: Subtract 4 from -14 to get -18.
-3a = -18
Step 3: Divide both sides by -3.
a = -18/-3
Step 4: Divide -18 by -3 to get 6.
a = 6
Let's check our work by substituting a for 6.
-3(6) + 4 = -14
Multiply -3 by 6 to get -18.
-18 + 4 = -14
Add -18 and 4 to get -14.
-14 = -14
This is true, so a = 6.
Evaluate functions from their graph f(-5)=
Answer:
7
Step-by-step explanation:
(-5,7) lies in the graph!
Please MY LAST 15 POINTS! What is the x-coordinate of point B? Write a decimal coordinate.
On a coordinate plane, point B is 1.5 units to the left and 3.5 units up.
Answer:
-1.5
Step-by-step explanation:
i hope this helps
find the slope thanks
Answer:
Hello! Just here so the other person can get brainliest. I will do the same for the other questions.
Step-by-step explanation:
will give brailest Solve the following equation to find the value of r?
r/8.5=16
Answer:
R=296
Step-by-step explanation:
Multiplication is the opposite of division so you want to multiply both your given numbers.
Hope this helped
WILL GIVE BRAINLIEST
Find the equation of the line
perpendicular to y=-2x + 1 that
also intersects the point (8, 2).
y- Hx+ 1
Enter
Answer:
y=1/2x-2
Step-by-step explanation:
perpendicular lines have a neg. reciprocal for the slope.
for example:
in this equation y=-2x+1
-2 is the slope and the negative reciprocal would be 1/2
hence, the slop of our new line is 1/2
y=1/2x+b
we can substitute the coordinates given for x and y:
2=1/2(8)+b
2=4+b
-2=b
hence the new equation is y=1/2x-2
In the rectangle, find the length of AD.
Answer:
required answer is 9 of your question
The graph of an absolute value function contains the points (1, 2), (0, 0), and (–1, 2). Shawn thinks the function this graph represents is f(x) = 2|–x|. Brielle thinks the function this graph represents is f(x) = 2|x|. Determine who is correct and explain why.
Answer:
Shawn and Brielle are correct, since absolute has the following property: [tex]|a| = |-a|[/tex], [tex]a\in \mathbb{R}[/tex]
Step-by-step explanation:
Both Shawn and Brielle are correct, because the absolute value has the following property:
[tex]|a| = |-a|[/tex], [tex]a\in \mathbb{R}[/tex]
Which means that [tex]|x|[/tex] and [tex]|-x|[/tex] gives the same result.
Answer:
Both Shawn and Brielle are correct. The absolute value parent function is symmetric with respect to the y-axis, and the absolute value of negative x is a reflection across the y-axis, so the graph of these two functions would look identical. Additionally, if you wanted to verify that the given points are on the graph of both functions, you could substitute them into the functions to get true statements.
Step-by-step explanation:
Sample Answer on Edge
For which line is the slope least?
is the product of 18 negative numbers and 20 positive numbers a positive number or negative
Answer:
positive
Step-by-step explanation:
even negatives = positive
whatever positives = positive
positive*positive = positive