Answer:
Oat cereal cost less per oz.
Step-by-step explanation:
OC: 4.37/19=0.23
RC: 3.77/13=0.29
oat cereal shows up as less for one ounce
Which set best describes the numbers used on the scale for a standard thermometer?
A real numbers
B whole numbers
C integers
D rational numbers
a) -0.30103 b) -1.69897 c) 9.69897 d) 0.69897
Answer:
[tex]\log \:_{10}\left(\frac{1}{2}\right)=-\log \:_{10}\left(2\right)=-0.30102[/tex]
Thus, option A is true.
Step-by-step explanation:
Given the expression
[tex]log\left(\frac{1}{2}\right)[/tex]
[tex]=\log _{10}\left(2^{-1}\right)[/tex]
[tex]\mathrm{Apply\:log\:rule}:\quad \log _a\left(x^b\right)=b\cdot \log _a\left(x\right),\:\quad \:x>0[/tex]
[tex]\log _{10}\left(2^{-1}\right)=-1\cdot \log _{10}\left(2\right)[/tex]
so the expression becomes
[tex]=-1\cdot \log _{10}\left(2\right)[/tex]
[tex]\mathrm{Multiply:}\:1\cdot \log _{10}\left(2\right)=\log _{10}\left(2\right)[/tex]
[tex]=-\log _{10}\left(2\right)[/tex]
substituting the value of log 2 = 0.30103
[tex]\:=-0.30102[/tex]
Thus,
[tex]\log \:_{10}\left(\frac{1}{2}\right)=-\log \:_{10}\left(2\right)=-0.30103[/tex]
Therefore, option A is true.
Solve the system.
y+5x=1
5y-x=5
The solution is ___
Explain your choice of method.
Answer:
(0, 1)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
y + 5x = 1
5y - x = 5
Step 2: Rewrite Systems
y + 5x = 1
Subtract 5x on both sides: y = 1 - 5xStep 3: Redefine Systems
y = 1 - 5x
5y - x = 5
Step 4: Solve for x
Substitution
Substitution in y: 5(1 - 5x) - x = 5Distribute 5: 5 - 25x - x = 5Combine like terms: 5 - 26x = 5Isolate x term: -26x = 0Isolate x: x = 0Step 5: Solve for y
Define equation: 5y - x = 5Substitute in x: 5y - 0 = 5Subtract: 5y = 5Isolate y: y = 1A)y=-2x+3, y=2
B)y=-2x-3, x=2
C)y=2x-3, y=2
D)y=2x+3,x=2
Name the property that justifies going from the first statement to the second
statement.
5x = 35
x=7
O Division Property
O Distributive Property
Reflexive Property
O Multiplication Property
O Symmetric Property of Congruence
Answer:
division property
Step-by-step explanation:
since the 5 is attached to the x, you want to divide it on both sides. 35/5=7. hope this helps :)
What is the value of x?
155
105
A. 55°
B. 160°
C. 50°
O D. 20°
I need the value of X that has the same area please help
Answer:
x = 10
Step-by-step explanation:
To find the value of x that will make the area of both figures to be equal, set the expression for the area of one figure equal to the other.
Thus:
(x + 5)×12 = x × 18
Solve for x
12x + 60 = 18x
Subtract 12x from each side
12x + 60 - 12x = 18x - 12x
60 = 6x
Divide both sides by 6
60/6 = 6x/6
10 = x
x = 10
The points (2, 5) and (1, 1) fall on a particular line. What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
y=
x-
The table shows the participation in a school's debate club during the last four years.
Year
1 2 3 4
Students
14
19
25
33
Between which two years did the club see the greatest growth? By what percent did it grow?
The greatest growth was between years 3 and 4. The growth between those years was about 32%.
The greatest growth was between years 1 and 2. The growth between those years was about 5%.
The greatest growth was between years 3 and 4. The growth between those years was about 8%.
o The greatest growth was between years 1 and 2. The growth between those years was about 36%.
Answer:
The greatest growth was between years 1 and 2. The growth between those years was about 36%.
Step-by-step explanation:
Divide 19 by 14 to check, it gets you 1.357 which rounds to 1.36, or an increase of 36%
Hannah took $50.00 to go shopping and she bought 2 shirts for $17.00 each how change did she have left
Answer: Hannah had $16.00 left.
Step-by-step explanation: First, you add $17.00 plus $17.00 or $17.00 times 2 which gives you $34.00. Then, you subtract $50.00 minus $34.00 which gives you $16.00.
HELP ASAP
Daniel works at a drive-thru restaurant. He has been keeping track of the number of vehicles that go through the drive-thru each hour in the table shown, where x is the number of hours since opening and f(x) represents the total number of vehicles.
Table:
x f(x)
1 18
2 38
3 60
4 78
5 93
6 117
7 143
Which polynomial function best models the data?
A) f(x)=0.4048x^2+16.9762x+2.1429
B) f(x)=0.3611x^3−3.9286x^2+31.7817x−10.8571
C) f(x)=0.3611x^3−4.4048x^2+35.5913x−15.1429
D) f(x)=0.072x^4−0.7904x^3+2.2917x^2+18.8683x−2.7143
The polynomial function which represents the number of vehicles ( x ) that go through the drive-thru each hour f ( x ) is given by the function f ( x ) , where f ( x ) = 0.4048x² + 16.9762x + 2.1429
What is a polynomial?Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Daniel keeps track of the number of vehicles that go through the drive-thru each hour
Let the number of hours be x
Let the total number of vehicles that passes be y
Now , the values of x = { 1 , 2 , 3 , 4 , 5 , 6 , 7 }
The values of y = f ( x ) = { 18 , 38 , 60 , 78 , 93 , 117 , 143 }
Let the polynomial equation be represented as f ( x )
Now , the value of f ( x ) is calculated from the curve fitting model of hyperbola , where
f ( x ) = 0.4048x² + 16.9762x + 2.1429
when x = 3
f ( 1 ) = 0.4048 ( 3 )² + 16.9762 ( 3 ) + 2.1429
On simplifying , we get
f ( 1 ) = 3.6432 + 50.9286 + 2.1429
f ( 1 ) ≈ 60
Hence , the polynomial equation is f ( x ) = 0.4048x² + 16.9762x + 2.1429
To learn more about polynomials click :
https://brainly.com/question/13199883
#SPJ3
A line with a slope of 3 passes through the point (6,9). What is its equation in
slope-intercept form?
The equation of the line is y = 3x - 9 if the line with a slope of 3 passes through the point (6,9).
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have:
A line with a slope of 3 passes through the point (6,9).
m = 3
The line equation:
y = mx + c
y = 3x + c
9 = 3(6) + c
c = -9
y = 3x - 9
Thus, the equation of the line is y = 3x - 9 if the line with a slope of 3 passes through the point (6,9).
Learn more about the straight line here:
brainly.com/question/3493733
#SPJ2
solve for answer z/7+19>3.5
Answer:
z > -108.5
Step-by-step explanation:
1. z/7+19>3.5
Subtract 19 from both sides
2. Z/7 > -15.5
Multiply both sides by 7
3. Z > -108.5
Please please help on the first question only! Will mark brainliest :)
Answer:
y=-25x+15
Step-by-step explanation:
I just used the y=mx+b equation and plugged in the numbers we know by the graph.
5−a+4a=
please show work :)
Answer:
5 + 3a
Step-by-step explanation:
5 - a + 4a =
5 + ( -a + 4a ) =
5 + ( 4a - a ) =
5 + ( 3a )
A toy maker wants to re-create the Wright Brothers 1903 airplane. The actual plane was 21 feet long. The toy maker wants to use a scale model of 3 feet = 2 inches. How long will the replica plane be?
Answer:
[tex]x = 14ft[/tex]
Step-by-step explanation:
Given
[tex]Actual\ Length = 21ft[/tex]
Model:
[tex]3\ ft = 2\ in[/tex]
Required
Determine the length of the replica
Represent the model as a ratio:
[tex]Ratio = 3\ in:2\ ft[/tex]
Convert to fraction
[tex]Ratio = \frac{3\ in}{2\ ft}[/tex]
Represent the actual lengths as a ratio
[tex]Ratio = 21\ ft : x[/tex]
Where x is the length of the replica
Convert to fraction
[tex]Ratio = \frac{21\ in}{x}[/tex]
Equate both ratios (because they are in proportion)
[tex]\frac{3\ in}{2\ ft} = \frac{21\ in}{x}[/tex]
[tex]\frac{3}{2\ ft} = \frac{21}{x}[/tex]
Cross Multiply:
[tex]3 * x = 21 * 2\ ft[/tex]
[tex]3x = 42\ ft[/tex]
Solve for x
[tex]x = \frac{42ft}{3}[/tex]
[tex]x = 14ft[/tex]
Hence, the length of the replica is 14ft
6/8w= -9/3
solve for w
pls hurry I need help I will give brainliest
Answer: w=−4
Step-by-step explanation:
hoped this helped
1)Tyrone is scuba diving in the ocean and is currently at a depth of 47 feet below sea level.
2)Enter the integer that represents Tyrone's current depth.
Answer:
-47 Feet
Step-by-step explanation:
He is 47 feet below sea level, so he would be at -47 feet. If you are asking how deep he is, then it would be just positive 47 feet.
Which inequality is represented by this graph?
Answer:
The answer is D
Step-by-step explanation:
The line is going to the right side so that means that x must be greater than -53 and the dot is filled in so it is also equal to
answer correctly please
Answer:
25
Step-by-step explanation:
I divided 150 by 60, I am so sorry if it’s wrong
Answer:
160!
Step-by-step explanation:
200 x 8 =? to make it easier
2 x 8 = 16 and add 100 more equals 160!
Describe something true about any pair of interior and exterior angles?
What is the equation of the line that passes through the point (3,5) and has a slope
of 2?
Answer:
y-5=2(x-3)
Step-by-step explanation:
y-y1=m(x-x1)
Answer:
y=2x-1
Step-by-step explanation:
trust me, it's that
What is the appropriate sequence of events for protein synthesis?
A. Amino acids link to form polypeptides, which fold into proteins
B. Polypeptides link to form amino acids, which fold into proteins
C. Proteins link to form amino acids, which fold into polypeptides
D. Amino acids link to form proteins which fold into polypeptides
The correct sequence of events in protein synthesis is transcription, then translation.
You have a bag with 6 green marbles, 15 blue marbles, 8 red marbles, 1 yellow
marble. What is the probability of pulling out a blue marble?
Answer:
1 / 2
Step-by-step explanation:
Total # of marbles in the bag = 30
Total # of blue marbles in the bag = 15
Probability of pulling a blue marble = # of blue / total # of marbles
Probability = 15 / 30
Simplify = 1 / 2
The sides of a triangle are in the ratio 2:3:4 and the longest side is 20 cms longer than the shortest side. Compute the length of each side.
Answer:
40 cm ; 30cm ; 20cm
Step-by-step explanation:
Given that:
Sides of a triangle are in the ratio 2:3:4
Let :
length of the sides = 2x, 3x, 4x
longest side = 4x
Mid side = 3x
Shortest side = 2x
Length of longest side is 20 cm longer than shortest side
4x = 2x + 20 - - (1)
4x - 2x = 20
2x = 20
x = 10
Hence,
longest side = 4x = 4*10 = 40 cm
Mid side = 3x = 3 * 10 = 30 cm
Shortest side = 2x = 2 * 10 = 20 cm
Which description of the vector shown is correct?
O The magnitude is 15, and the direction angle is
approximately 49º.
O The magnitude is 15, and the direction angle is
approximately 41°.
O The magnitude is 113, and the direction angle is
approximately 49°
O The magnitude is 113, and the direction angle is
approximately 41°
Answer:
D
Step-by-step explanation:
Edge 2020
Answer:
D
Step-by-step explanation:
Help meeee!will give brainliest!
Answer
(2,0) Brainliest please
Step-by-step explanation:
Help as soon as possible plz!
Answer:
a or c
Step-by-step explanation:
Answer:
it would be B
Step-by-step explanation:
because if you look at the x and y axis thats the x axis
A boat is carrying containers that weigh 4000 pounds each.
Use this information to fill in the table. Then plot the ordered pairs given by the table.
Answer:
4 = 16,000
8 = 32,000
10 = 40,000
Step-by-step explanation:
4 x 4 = 16 then add the zeros and then you have 16,000. Same thing with 8. 4 x 8 = 32 then add the zeros. Also goes for 10. 4 x 10 = 40 then add the zeros.
y=-4x+2
At point (1,y), what is y?