Answer:
28.1x – 3.1
Step-by-step explanation:
1.5(x + 3) + 3.8(7x –2)
Open the parenthesis
= 1.5x + 4.5 + 26.6x - 7.6
Simplify
= 28.1x - 3.1
Therefore, the equivalent expression to 1.5(x + 3) + 3.8(7x –2 is 28.1x - 3.1
Students in Grade 5 are divided into 6 equal sections. There are 29 students in
each section. How many students are in Grade 5?
Answer:
174
Step-by-step explanation:
Number of section = 6
Number of students in each sections = 29
Nøw
Total students in Grade 5 is
= 6 * 29
= 174
Hope it will help you :)
Answer:
174
Step-by-step explanation:
[tex]29 \times 5[/tex]
which is 174
Which is the better deal: $2.98 for 2 liters of soda or $7.40 for 5 liters? Find the unit price of the better deal on the coloring sheet.
Answer:
7.40 for 5 liters
Step-by-step explanation:
2.98/2= 1.49
7.40/5= 1.48
On a true/false test, the ration of true questions to false questions is 3 to 7. What is the ratio of true question to total questions
Answer:
3 to 10 , 3
Step-by-step explanation:
There are 3 true questions and 7 false question , in total , there are 10 questions.
Answer:3:10
Step-by-step explanation:
Or you can write it
3 to 10
3/10
A sound measures 42 dB. The intensity of a second sound is four times as great. What is the decibel level of this
second sound?
Answer:
The decibel level of this second sound is 48.021 decibels.
Step-by-step explanation:
The acoustic intensity ([tex]B_{dB}[/tex]), measured in decibels, is defined by the following formula:
[tex]B_{dB} = 10\cdot \log_{10}\left(\frac{I}{I_{o}} \right)[/tex] (1)
Where:
[tex]I_{o}[/tex] - Reference sound intensity, measured in watts per square meter.
[tex]I[/tex] - Real sound intensity, measured in watts per square meter.
If we know that [tex]B_{dB} = 42\,dB[/tex] and [tex]I_{o} = 10^{-12}\,\frac{W}{m^{2}}[/tex], then the real sound intensity of the first sound is:
[tex]\frac{B_{dB}}{10} = \log_{10}\left(\frac{I}{I_{o}} \right)[/tex]
[tex]\frac{I}{I_{o}} = 10^{\frac{B_{dB}}{10} }[/tex]
[tex]I = I_{o}\cdot 10^{\frac{B_{dB}}{10} }[/tex]
[tex]I = \left(10^{-12}\,\frac{W}{m^{2}} \right)\cdot 10^{\frac{42\,dB}{10} }[/tex]
[tex]I = 1.585\times 10^{-8}\,\frac{W}{m^{2}}[/tex]
The real sound intensity of the second sound is four times greater, that is:
[tex]I' = 6.340\times 10^{-8}\,\frac{W}{m^{2}}[/tex]
If we know that [tex]I_{o} = 10^{-12}\,\frac{W}{m^{2}}[/tex] and [tex]I' = 6.340\times 10^{-8}\,\frac{W}{m^{2}}[/tex], then the acoustic intensity of the second sound is:
[tex]B_{dB} = 10\cdot \log_{10}\left(\frac{I'}{I_{o}} \right)[/tex]
[tex]B_{dB} = 10\cdot \log_{10}\left(\frac{6.340\times 10^{-8}\,\frac{W}{m^{2}} }{10^{-12}\,\frac{W}{m^{2}} } \right)[/tex]
[tex]B_{dB} = 48.021\,dB[/tex]
The decibel level of this second sound is 48.021 decibels.
Please help meee!!! 11 points
Compute the directional derivative of the following function at the given point P in the direction of the given vector. Be sure to use a unit vector for the direction vector. f(x,y)= ln(2 +3x^2 +3y^2); P(1,-2); (3,1)
Answer:
The directional derivate is given by: [tex]D_{u}(x,y) = \frac{6}{\ln{17}\sqrt{10}}[/tex]
Step-by-step explanation:
The directional derivative at point (x,y) is given by:
[tex]D_{u}(x,y) = f_{x}(x,y)*a + f_{y}(x,y)*b[/tex]
In which a is the x component of the unit vector and b is the y component of the unit vector.
Vector:
We are given the following vector: [tex]v = (3,1)[/tex]
Its modulus is given by: [tex]\sqrt{3^2 + 1^2} = \sqrt{10}[/tex]
The unit vector is given by each component divided by it's modulus. So
[tex]v_u = (\frac{3}{\sqrt{10}}, \frac{1}{\sqrt{10}})[/tex]
This means that [tex]a = \frac{3}{\sqrt{10}}, b = \frac{1}{\sqrt{10}}[/tex]
Partial derivatives:
[tex]f(x,y) = \ln{(2 + 3x^2 + 3y^2)}[/tex]
So
[tex]f_x(x,y) = \frac{6x}{\ln{(2 + 3x^2 + 3y^2)}}[/tex]
[tex]f_x(1,-2) = \frac{6(1)}{\ln{(2 + 3(1)^2 + 3(-2)^2)}} = \frac{6}{\ln{17}}[/tex]
[tex]f_y(x,y) = \frac{6y}{\ln{(2 + 3x^2 + 3y^2)}}[/tex]
[tex]f_y(1,-2) = \frac{6(-2)}{\ln{(2 + 3(1)^2 + 3(-2)^2)}} = -\frac{12}{\ln{17}}[/tex]
Directional derivative:
[tex]D_{u}(x,y) = f_{x}(x,y)*a + f_{y}(x,y)*b[/tex]
[tex]D_{u}(x,y) = \frac{6}{\ln{17}}\times\frac{3}{\sqrt{10}}-\frac{12}{\ln{17}}\times\frac{1}{\sqrt{10}}[/tex]
[tex]D_{u}(x,y) = \frac{18}{\ln{17}\sqrt{10}} - \frac{12}{\ln{17}\sqrt{10}}[tex]
[tex]D_{u}(x,y) = \frac{6}{\ln{17}\sqrt{10}}[/tex]
The directional derivate is given by: [tex]D_{u}(x,y) = \frac{6}{\ln{17}\sqrt{10}}[/tex]
Subtract.
(11x2 + 3x – 9) - (2x2 + 2x + 7)
Answer:
21x
Step-by-step explanation:
11 x 2= 22
22 + 3x =25x
25 - 9x = 16x
16x - 4 = 12x
12x + 2 + 7 =21x
BUT- IF YOUR LOOKING FOR N INQUAILTY HERE..
ANSWER: 9ײ + x - 16
steps:
(1): "x2" was replaced by "x^2". 1 more similar replacement(s).
(((11•(x2))+3x)-9)-((2x2+2x)+7)
((11x2 + 3x) - 9) - (2x2 + 2x + 7)
3.1 Factoring 9x2+x-16
The first term is, 9x2 its coefficient is 9 .
The middle term is, +x its coefficient is 1 .
The last term, "the constant", is -16
IF its not right sorry
Answer:
9x^2+x−16
Step-by-step explanation:
I got it right on TTM/Imagine Math
help me pleasee!! thanks!
Answer:
the answer is 52/100 :)
Answer:
52/100
Step-by-step explanation:
f(x)=7x-4 what is f(3)
Answer: look at the pictures ⤵
Step-by-step explanation:
Given the following data, find the weight that represents the 22nd percentile. Weights of Newborn Babies 7.87.95.85.85.7 5.66.98.77.97.8 7.56.77.58.85.7
Answer:
Step-by-step explanation:
Given the data: 7.8 7.9 5.8 5.8 5.7 5.6 6.9 8.7 7.9 7.8 7.5 6.7 7.5 8.8 5.7
Rearranged data: 5.6, 5.7, 5.7, 5.8, 5.8, 6.7, 6.9, 7.5, 7.5, 7.8, 7.8, 7.9, 7.9, 8.7, 8.8
The 22nd percentile :
Percentile (i) = (P / 100) * n
Where i = rank, n = Same size ; P = pw cwntile.
P = 22 ; n = 15
i = (22/100) * 15
i = 3.3 rd
The 22nd percentile is equivalent to 4th data in the ordered set = 5.
How many terms are there in 37,38,39,40...,437
Answer:
There are 401 terms.
Step-by-step explanation:
The first term is 37 (subtract 36 to get 1st). The last term is 437 (subtract 36 to get 401st).
Answer:
I have no idea :> <3
Step-by-step explanation:
1. be dum
2. not know the answer
3.say i don't know de ansser
4. put a heart so they don't hate you
5. i don't know just go do your test child -___________-
A woman's closet has eight shirts, five shorts and six pairs of pants. How many different outfits does she have
to wear?
Answer:
270 Different Combo's
Step-by-step explanation:
Answer:
20*4=80 + 20 = 100
Step-by-step explanation:
I can wear five different shirts, for each shirt, I can have any of four different pants.
That’s 5*4=20 outfits.
But I can wear two shirts, I often do. For each of five shirts worn underneath, there are four shirts I can wear over that, so there are twenty shirt pairings, and again, four different pants to wear with each pair, that’s 20*4=80 + 20 = 100
Last year Ben earned $22,500. He expects his earning to be 23% greater this
year than last year. What did Ben expect to earn this year?
Answer:
Ben expected to earn $27,675 this year.
Step-by-step explanation:
First, to be able to determine the difference between this year and last year, you would multiply $22,500 by 0.23 (or, 23% in decimal form).
When you do that, the answer comes out to 5,175.
So then, you add $22,500 and $5,175 in order to get the value that he expected to earn this year. That comes out to $27,675, which is your final answer.
I WILL GIVE YOU BRAINLIEST ! PLEASE HURRY I AM TIMED!!
answer choices
A. The y-intercept of Function 1 is the same as that of Function 2.
B. The rates of change of both functions are positive.
C. The rate of change of Function 1 is the same as that of Function 2.
D. The y-intercept of Function 1 is greater than that of Function 2.
Answer:
C. The rate of change of Function 1 is the same as Function 2.
Step-by-step explanation:
The rate of change in an equation is the slope. In this case, function 1's slope is 1/2 and in function 2 - y=1/2x+3, the slope, or rate of change, is also 1/2. This means that statement C. is correct. Hope this helps :) Good luck!!
3. A rectangular prism has dimensions of , 2, and in.
(a) Determine the edge length of the largest unit cube that you could use to pack the prism. Explain.
(b) What is the volume of the prism? Explain.
(c) How many cubes with the edge length from part (a) will fit into the prism? Explain.
Answer:
I'm not sure about a and c, but the answer for b is 7/2 or 3.5
Step-by-step explanation:
1/2 x 2 = 1 1 x 7/2 = 7/2 or 3.5 :)
a) The edge length of the largest unit cube that you could use to pack the prism would be 1/2. b) 3.5 .c)The number of cubes with the edge length from part (a) will fit into the prism is 28.
How to find the volume of a right rectangular prism?Suppose that the right rectangular prism in consideration be having its dimensions as 'a' units, 'b' units, and 'c' units,
then its volume is given as:
[tex]V = a\times b \times c \: \: unit^3[/tex]
A rectangular prism has dimensions of 1/2, 2, and 7/2 in.
a) The edge length of the largest unit cube that you could use to pack the prism would be 1/2.
b) The volume of a rectangular prism
[tex]V = a\times b \times c \: \: unit^3[/tex]
V = 1/2 x 2 x 7/2
= 7/2
= 3.5
c) Let n be the number of cubes
The volume of the cube = 0.125
0.125 x n = 3.5
n = 28
The number of cubes with the edge length from part (a) will fit into the prism is 28.
Learn more about the volume of a right rectangular prism here:
https://brainly.com/question/21308574
#SPJ2
solve the equation: 1/2(x+4)=16-5(x+16)
Answer: -12
Step-by-step explanation:
6 cups of flour ___.
PLEASE HELP its multiple choice i’ll mark brainliest and i added a couple more points
Answer:
can you resend the question it has no photo, LOL
Step-by-step explanation:
How many edges does this shape have?
12
10
Answer:
12
Step-by-step explanation:
The graphed line shown below is Y = 5x-10
CTS
5
2
Which equation, when graphed with the given equation, will form a system that has no solution?
y=-5X+ 10
O y = 5(x+2)
Hope it will help you
Answer:
B. Y=5(X+2)
Step-by-step explanation:
If you look at the other persons graph is specifically says that.
Which equation describes the function represented by the table?
y = x - (-11)
y = 4x + 6
y = -7x - 5
y = -3x + 9
Answer:
[tex]\displaystyle y=-7x-5[/tex]
Step-by-step explanation:
Equation of the Line
The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:
[tex]\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
We'll take the first two points (-2,9) and (-1,2)
[tex]\displaystyle y-9=\frac{2-9}{-1+2}(x+2)[/tex]
Operating:
[tex]\displaystyle y-9=\frac{-7}{1}(x+2)[/tex]
[tex]\displaystyle y-9=-7(x+2)[/tex]
[tex]\displaystyle y-9=-7x-14[/tex]
Adding 9:
[tex]\boxed{\displaystyle y=-7x-5}[/tex]
Substituting the last two points we can verify they also belong to the line.
Help please ☀️☀️☀️☀️☀️☀️☀️☀️☀️☀️☀️☀️☀️☀️☀️☀️
Answer:
5/6
Step-by-step explanation:
Answer:
1 1/2 - 2/3 = 5/6
Step-by-step explanation:
I hope i helped ^^
Solve for x.
Please!!!!!! Hurry
Answer:
i believe X is 4
hope that helps
Step-by-step explanation:
Find the derivative of y with respect to x. y=3 sin' (5x)
Answer: 27282 and 28838399393
Step-by-step explanation:
Financial advisors recommend that a maximum of 22% of your monthly income be spent on vehicle expenses (total of car payment, car insurance, and maintenance/fuel).
Nadias monthly income is $3200. She wants to take out a loan to buy a 2018 Kia Soul which would result in monthly vehicle expenses consisting of a $515 car payment,
$78 car insurance, and $125 maintenance/fuel expenses
What percentage of Nadia Os monthly income would be spent on vehicle expenses if she purchases the 2018 Kia Soul? Round the percentage to one decimal place
% of her monthly income would go to vehicle expenses.
Does the car she wants satisfy the recommended budget guideline? In other words, would she be spending 22% or less of her monthly income on vehicle expenses?
Yes
No
Answer:
22.4
Step-by-step explanation:515+78+125=718
718/3200=22.4
The answer is-No
Does the graph represent a linear or nonlinear function?
Answer:
Nonlinear. If it was a striaght line, it would be linear.
Step-by-step explanation:
Brainliest? Hope this helped! Friend me please!
Mariah exercises 2,328 minutes a month. She exercised 4 times longer than Miguel exercised last month. How many minutes did Miguel spend exercising last month?
Answer:
maria is fat
Step-by-step
Candice made a scale drawing of an Italian restaurant. She used the scale
7 millimeters = 5 meters. What is the scale factor of the drawing?
Answer:4
Step-by-step explanation:
Answer:
its actually 5:36
Step-by-step explanation:
A person came to work at 8:30 am, went out at 11:45 am, had lunch, came in at 12:30 pm, and left at 5:15 pm. How many hours did this person work?
Answer:
8 hours
Step-by-step explanation:
A person came to work by 8:30 am
He went out to lunch 11:45 am and came back 12:30 pm
He closed 5:15 pm
Therefore the total hours worked that day can be calculated as follows
Time worked from 8:30 am to 11:45 am is 3 hours 15 mins
Time worked for 12:30 pm to 5:15 pm is 4 hours 45 mins
3 hours 15 mins + 4 hours 45 mins
= 8 hours
Hence the total hours worked that day is 8 hours
fill in the boxes to show two ways you can find 8+6
Answer:
(4+3) + (4+3) and (7-1) + (9-1)
Step-by-step explanation:
You can always break it down in half to make it easier.
