If the ambient temperature is 0 then the damage index would be 14. Then the correct option is D.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
Sven investigates the amount of damage to the head gaskets on the trucks in his fleet and the damage index depends on the ambient temperature.
He develops the equation y = –23x + 14 to model the relationship.
where y be the damage index and x be the temperature.
At zero temperature, the damage index will be
y = –23 (0) + 14
y = 14
The damage index is 14.
More about the linear system link is given below.
https://brainly.com/question/20379472
If a prime number is greater than 2, it is odd.
TRUE OR FALSE
Answer:
True
Step-by-step explanation:
Answer:
true
Step-by-step explanation:
Solve for x. 4x - 8 = 2x - 6
Answer:
x=7
Step-by-step explanation:
4x-8=2x-6
4x-2x=-6+8
2x=-14(divide both the sides by 2)
x=7
Select the correct answer.
If and , find .
A.
B.
C.
D.
Answer:
C
Step-by-step explanation:
f(x) - g(x)
= [tex]\sqrt{x}[/tex] - x - (2x³ - [tex]\sqrt{x}[/tex] - x) ← distribute parenthesis by - 1
= [tex]\sqrt{x}[/tex] - x - 2x³ + [tex]\sqrt{x}[/tex] + x ← collect like terms
= - 2x³ + 2[tex]\sqrt{x}[/tex]
Look at pic, I need #4 and F and G could be an answer. I am giving 23 points and will mark brainliest if you tell me how.
Answer is J
see the full solution in the photo
Answer:
J
Step-by-step explanation:
2(-1^2) - 4(-2) +6
=2 (1) +8 +6
=2+8+6
=16
The loudness, L, measured in decibels (Db), of a sound intensity, I, measured in watts per square meter, is defined as L = 10 log StartFraction I Over I 0 EndFraction, where I 0 = 10 Superscript negative 12 and is the least intense sound a human ear can hear. What is the approximate loudness of a rock concert with a sound intensity of 10–1?.
The approximate loudness of a rock concert with a sound intensity of 10⁻⁹ is 110 Db.
What is a logarithm?Logarithms are another way of writing exponent. A logarithm with a number base is equal to the other number. It is just the opposite of the exponent function.
The loudness (L) measured in decibels (Db), of sound intensity (I), measured in watts per square meter, is defined as
[tex]\rm L = 10 \ log \ \dfrac{I}{I_o}[/tex]
where [tex]\rm I_o = 10^{-12}[/tex] and is the least intense sound a human ear can hear.
The approximate loudness of a rock concert with a sound intensity of 10⁻¹ will be
[tex]\rm L = 10 \ log \ \dfrac{10^-^1}{10^{-12}}\\\\\rm L = 10 \ log 10^1^1\\\\L = 10*11\\\\L = 110[/tex]
The approximate loudness of a rock concert with a sound intensity of 10⁻¹ is 110 Db.
More about the logarithm link is given below.
https://brainly.com/question/7302008
Find the distance between these 2 points: (-4, 5) and (4, 0)
Answer: Length = 9.434
Step-by-step explanation: Input Data :
Point 1
(
x
A
,
y
A
)
= (-4, 5)
Point 2
(
x
B
,
y
B
)
= (4, 0)
Objective :
Find the distance between two given points on a line?
Formula :
Distance between two points =
√
(
x
B
−
x
A
)
2
+
(
y
B
−
y
A
)
2
Solution :
Distance between two points =
√
(
4
−
−
4
)
2
+
(
0
−
5
)
2
=
√
8
2
+
(
−
5
)
2
=
√
64
+
25
=
√
89
= 9.434
Distance between points (-4, 5) and (4, 0) is 9.434
Jordan and Raj each bake 7 batches of muffins. Jordan makes 18 muffins per batch, and Raj makes 15 muffins per batch. They combine their muffins and put all of them into boxes. They fill as many boxes as possible with 6 muffins each. They place the remaining muffins in the last box.
Enter your answers in the boxes.
How many full boxes do they make, and how many muffins will be in the last box?
i cant understand it much.
Answer:
Step-by-step explanation: Jordan's batches have 18 muffins a piece he made 7 bathes so 7 times 18 equals 126 muffins. Raj's batches have 15 muffins per batch which he also makes 7 batches of so 7 times 15 is 105. The boys then add all their muffins together so 126 muffins plus 105 muffins is 231 muffins. They then have to divide the muffins into boxes that can hold up to 6 muffins each so you are dividing 231 divided by 6 so the answer is 38 full boxes and 3 muffins left in the last box ( I just took the test and that was the answer)
In triangle dat, m < d = 27, m < a = 105, and t=21. find d to the nearest integer.
Answer:
d = 13
Step-by-step explanation:
Given:
m ∠ d = 27°
m ∠ a = 105°
t = 21°
Look at the picture I posted
Use sine law:
[tex]\mathrm{\dfrac{ sin\:a }{ A } = \dfrac{ sin\:B }{ b }}[/tex]
∠T = 180° - 27° - 105°
∠T = 48°
[tex]\mathrm{\dfrac{ sin\:48\° }{ 21 } = \dfrac{ sin\:D }{ d }}[/tex]
[tex]\mathrm{\dfrac{ sin\:48\° }{ 21 } = \dfrac{ sin\:27 }{ d }}[/tex]
Cross multiply
[tex]\mathrm{{d\:sin\:48\°} = { 21\:sin\:27\°}}[/tex]
Solve for d
[tex]\mathrm{d = \dfrac{ 21\:sin\:27\° }{ sin\:48\° }}[/tex]
Evaluate trigonometric functions in the problem
[tex]\mathrm{d = \dfrac{ 21 \times 0.453990499739547 }{ 0.743144825477394 }}[/tex]
Multiply 21 and 0.453990499739547 to get 9.533800494530487
[tex]\mathrm{d = \dfrac{ 9.533800494530487 }{ 0.74314482547394 }}[/tex]
Divide 9.533800494530487 by 0.743144825477394
[tex]\mathrm{d = 12.828993983}[/tex]
d = 13
Rounded to the nearest integer: 13
Solve each proportion
Hello.
In order to solve a proportion, you should cross-multiply:
[tex]\displaystyle\frac{7}{x} =\frac{5}{9}[/tex]
Multiply 7 times 9 and 5 times x:
5x=63
Divide both sides by 5:
x=[tex]\displaystyle\frac{63}{5}[/tex]
Now let's solve the second proportion.
Multiply 8p times 6 and 12 times 15:
48p=180
Divide both sides by 48:
p=3.75
I hope it helps.
Have an outstanding day.
[tex]\boxed{imperturbability}[/tex]
Graph a line with a slope of -3/4
that contains the point (2,3) ?
Answer:
First place a mark at your point. (x=2, y=3)
Step-by-step explanation:
Now when you look at the -3/4 that is called your rise over run so you will go down 3 and over 4 so your next point will be at (x=0, y=6) and then you connect your dots to make a line.
Let's look at this system of equations"
2x - 4y = 20
X = 4
Solve the system using substitution or elimination. Show your work and/or explain your reasoning.
PLEASE HELP ME GUYS IM BEGGING YOU AND PLEASE SHOW ME HOW U DID IT!!!
Step-by-step explanation:
Given,
x = 4
2x - 4y = 20
Now,
2x - 4y = 20
or, 2×4 - 4y = 20
or, 8 - 4y = 20
or, -4y = 20 - 8
or, y = 12/-4
or, y = -3
therefore, y = -3
Answer:
(x,y)=(4,-3)
Step-by-step explanation:
2x-4y=20
x=4
substitute the given value of x into the equation
2×4-4y=20
solve the equation for y
y=-3
A possible solution of the system is the ordered pair
(x,y)=(4,-3)
CHECK SOLUTION!
2×4-4×(-3)=20
4=4
simplyfy the quality
20=20
4=4
since all of the qualities are true, the ordered pair is the solution of the system
(x,y)=(4,-3)
hey hi I hope this helps
Which of the following points would be a solution to this system of linear inequalities?
Let's plug in both x and y values in the equation and check if the inequality is true...
[tex]\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}[/tex]
[tex](4,1) \\ y \leqslant x + 1 \\ y < - \frac{x}{2} - 1[/tex]
Substitute x as 4 and y as 1
[tex]1 \leqslant 4 + 1 \\ 1 < - \frac{4}{2} - 1[/tex]
[tex]0 \leqslant 4 + 1 \\ 1 < - 2 - 1[/tex]
[tex]0 \leqslant 5 \\ 1 < - 3[/tex]
This is not a solution because both are not true, Only one equation is giving true as answer which is not correct!~[tex]\purple{ \rule{300pt}{3pt}}[/tex]
[tex](0, - 3) \\ y \leqslant x + 1 \\ y < - \frac{x}{2} - 1[/tex]
Substitute x as 0 and y as -3
[tex] - 3 \leqslant 0 + 1 \\ - 3 < - \frac{0}{2} - 1[/tex]
[tex] - 3 \leqslant 1 \\ - 3 < - 0 - 1[/tex]
[tex] - 3 \leqslant 1 \\ - 3 < - 1[/tex]
This is a solution because both are true, Both the equations are true which means the ordered pair is a solution!~Thus, Option B (0,-3) is the correct choice....
If 8 superscript y baseline = 16 superscript y 2, what is the value of y?
The value of unknown number y for the equation 8 superscript y baseline = 16 superscript (y+2) is -8.
How to simplify power raised by another number?When the power of a number is raised by another number, then multiply both the powers and the result of this product keep as the power of the number.
Let suppose there is a number a. For this number the above rule can be given as,
[tex](a^m)^n=a^{m\times n}\\(a^m)^n=a^{mn}[/tex]
The expression which consist unknown variable y is given as,
[tex]8^y=16^{y+2}[/tex]
The above equation can be written as,
[tex](2\times2\times2)^y=(2\times2\times2\times2)^{y+2}\\(2^3)^y=(2^4)^{y+2}\\(2)^{3y}=(2^)^{4y+8}[/tex]
As the base of both side of the equation is same. Thus, the value of their exponent can be compared.
[tex]3y=4y+8\\4y-3y=-8\\y=-8[/tex]
Thus, the value of unknown number y for the equation 8 superscript y baseline = 16 superscript (y+2) is -8.
Learn more about the power raised by another number here;
https://brainly.com/question/960886
PLSSS HELP
The part of a whole is called?
The part of a whole is called?
a share
b fraction
c factor
d piece
Answer:
fraction is called as the part of a whole
Natasha is measuring the angles of a triangle. She measures the first two angles and gets 60° and 80°. What should be the measure of the third angle? *
1 point
Amir wants to buy a new MP3 player that costs $76.50. If he saves $8.50 each week, how many weeks will it take Amir to save enough money to buy the MP3 player? *
After nine weeks Amir would have enough to buy the MP3
It will take Amir 9 weeks to save enough money for the MP3 player
Ahhh I’m stuck on this one please help
Answer:
1.20 ÷ 4 = 0.30 per unit
Please mark as brainliest;)
Pls help me on this problem I’m confused
Answer:
30 × 24 = 720 inches
since there are 12 inches in a foot
720 ÷ 12 = 60
60 feet converted to yards is 20 yards
50 - 20 = 30
they should have 30 yards of string left over
4(2a + 3) < 3(a - 1)
Answer:
-3
Step-by-step explanation:
4(2a +3)<3(a - 1)
8a +12 <3a - 3
8a - 3a <-3 - 12
5a<-15
a<15 :5
a<-3
Answer:
Step-by-step explanation:
4(2a+3) =3(a-1)
simplify
8a+12 =3a-3
-12 on the 12 and -3
8a=3a-15
add 15 to the 15 and 8
13=3a
always divide by the variable so 3 divide by 3 and 3 divide by 13
A= 4.3
CAN SOMEONE HELP ME OUT PLEASE AND THANK YOU
Answer:
i think c no is the correct answer
need help with thiss
Hello!
2( 8u² + uv²w -1) + 2( 5u²-v^6) -2( 2v)
= 16u² + 2uv²w -2 + 10u² - 2v^6 -4v
= 2uv²w - 2v^6 + 26u² -4v -2
How many and of which kind of roots does the equation f(x) = 2x4 – 9.23 + 1722 – 16x + 6 have?
A. 4 real
OB. 4 real; 4 complex
C. 2 real; 2 complex
OD. 4 complex
Reset Selection
Answer:
D, it admits 4 complex roots
Step-by-step explanation:
Based on what you've written;
f(x) can be rewritten by adding the light terms together as;
f(x)=2x⁴-16x+1768.68
By graphing this function on an app, since i cannot possibly simplify this equation or use a calculator;
we observe that this function does not intersect the x-axis at any point, hence it does not admit any real roots.
So your answer must be D.
ps: Regardless if you forgot any x's in your equation and if f(x) was actually defined by,
f(x)=2x⁴-9.32x³+1772x²-16x+6
This equation also admits 4 complex roots and does not intersect the x-axis
pls answer both questions for brainliest :)
Step-by-step explanation:
I explained your answer in the sent photo
What additional information do you need to prove triangle NOP is congruent to triangle QSR?
Answer:
D [tex]\angle O\cong\angle S[/tex]
Step-by-step explanation:
[tex]\angle O\cong\angle S[/tex]
Hope it helps you in your learning process.
Easy Question!
What is the value of x?
Answer:
X+22°=90°
X=90°-22°
X=68°
If y=tanx-cotx, then dy/dx =
Answer:
dy/dx=sec^2^(x)-(-csc^2(x)
=sec^2(x)+ csc^2(x)
so solution is E
Answer:
e) sec^2x+csc^2x
write an equation for the point 4,3
Answer:
y-3=3(x-4)
Step-by-step explanation:
Hi there!
We are given that a line intersects the points (4, 3), and (6, 9)
The slope of this line is 3
And we want to write an equation in point-slope form using (4, 3)
Point-slope form is written as [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a point
We already have one point of the equation filled out -- the [tex]y_1[/tex], which in this case, is 3;
Our current equation is:
[tex]y-3=m(x-x_1)[/tex] (n.b. I put m and [tex]x_1[/tex] as place holders)
Before we proceed though, let's label the values of the other things (m and [tex]x_1[/tex]) to avoid confusion:
[tex]x_1=4\\m=3[/tex]
Now we can substitute these into the equation:
y-3=3(x-4)
Hope this helps!
See more on writing equations in point-slope form here: https://brainly.com/question/1616074
Answer:
[tex]Hence,\ the\ equation\ is\ \fbox{$y-3=3(x-4)$}\[/tex]
Step-by-step explanation:
[tex]Given,[/tex]
[tex]points=\left(4,3\right)R\left(6,9\right)[/tex]
[tex]To\ find!-the\ equation\ of\ line.[/tex]
[tex]Solution:-We\ know\ that\ the\ slope\ of\ the.[/tex]
[tex]line\ is\ given\ by[/tex]
[tex]slope\left(m\right)=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{9-3}{6-4}=\frac{6}{2}=3[/tex]
[tex]The\ equation\ of\ line\ in\ point-slope\ form[/tex]
[tex]using\ the\ point\ \left(4,3\right)\ will\ be[/tex]
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-3=3\left(x-4\right)[/tex]
I hope this helps you
:)
10) y-5=-5/3(x+3)
A) x-2y = 2
C) 3x - 2y=0
B) 5x + 3y - 0
D) 3x +2y=0
Answer:
A
Step-by-step explanation:
A shipping box in the shape of a rectangular prism has the volume 15,000 cm3. The length of the box is 30 cm and the width is 25 cm. What is the height of the box?
A. 24 cm
B. 16.7 cm
C. 15 cm
D. 20 cm
Please help
Answer:
D. 20 cm
Step-by-step explanation:
The volume of a rectangular prism is given by the formula ...
V = LWH
__
For the dimensions given, we have ...
15000 cm³ = (30 cm)(25 cm)H
15000/750 cm = H = 20 cm
The height of the box is 20 cm.
Three times a number x minus four times a second number y divided by seven times a third number z
Answer
Step-by-step explanation:
Question is not clear. Is 4y being divided only by 7z or is the whole expression (3x - 4y)?