Answer:
101
Step-by-step explanation:
Since the total number of cheeseburgers was twice the number of hamburgers, let the number of sold hamburgers be h
Twice of h = 2(h)
Hence,
2(h) + h = 303
2h + h = 303
3h = 303
Divide both sides by the coefficient of h
h = 101
Therefore, the total number of hamburgers sold was 101
GIVING BRAINLIEST AND 13 POINTS TO THE PERSON WHO SOLVES THIS
An algebraic representation which best describes this transformation is: C. (x, y) → (5x/2, 5y/2).
What is dilation?In Geometry, dilation can be defined as a type of transformation which typically changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.
By critically observing the graph, we can logically deduce the following vertices:
Coordinate P = (-1, 1)Coordinate Q = (2, 0)Coordinate R = (-1, -2)Coordinate P' = (-5/2, 5/2)Coordinate Q' = (5, 0)Coordinate R' = (--5/2, -5)In this scenario, the transformation rule is given by this algebraic representation:
Q (x, y) → Q' (x, y)
Coordinate Q = (2, 0) → Coordinate Q' = ((5/2 × 2), (5/2 × 0)) = Coordinate Q' = (5, 0).
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Determine whether the equation below has one solution no solutions or an infinite number of solutions afterwards determine to values of X to support your conclusion
X – 6 = 6 – X
3. Look at the following points.
(4, 0), (3,-1), (6, 3), (2,-4)
Which are solutions to y = x - 4? Choose all correct answers.
(6,3)
(4,0)
(3,-1)
(2,-4)
The coordinates (4, 0) and (3, -1) represents the solution of the function f(x).
According to the question -
y = f(x) = x - 4
Case 1 : P(4, 0)
0 = 4 - 4 = 0
P (4, 0) represents a solution
Case 2: P (3, -1)
-1 = 3 - 4 = -1
P (3, -1) represents a solution
This is a calculus question please make sure that all steps are shown and that everything is shown clearly i am terrible at calculus so please help .
Thank you
Answer:
a) [tex]\displaystyle{\dfrac{dG}{dV_{\text out}}=\dfrac{20}{V_{\text out}\ln 10}}[/tex]
b) [tex]\displaystyle{\dfrac{d^2G}{dV_\text{out}^2} = -\dfrac{20}{V_\text{out}^2\ln 10}}[/tex]
Step-by-step explanation:
From the given equations to find, we are differentiating function G with respect to V out. Therefore, we will be only using the equation (6):
[tex]\displaystyle{G=20\log (10V_{\text out})}[/tex]
Here’s a fresh-up reminders for logarithmic differentiation formula:
[tex]\displaystyle{f(V)=a\log_b V \to f'(x)=\dfrac{a\cdot V'}{V\ln b}}[/tex]
Note that V' means to derive or differentiate the V-term
Therefore, in this scenario, our values of term are:
a = 20b = 10 (Since logarithm base is not shown, it’s always assumed to be common logarithm)V = 10V outTherefore, we can apply differentiation formula:
[tex]\displaystyle{\dfrac{dG}{dV_{\text out}}=\dfrac{20\cdot \dfrac{d(10V_{\text out})}{dV_{\text out}}}{10V_{\text out}\ln 10}}[/tex]
Simplify:
[tex]\displaystyle{\dfrac{dG}{dV_{\text out}}=\dfrac{20\cdot 10}{10V_{\text out}\ln 10}}\\\\\displaystyle{\dfrac{dG}{dV_{\text out}}=\dfrac{20}{V_{\text out}\ln 10}}[/tex]
And we have finished the part a. On part b, we just differentiate the answer from part a again, the second part is to obtain the second derivative which is to derive the first derivative. Therefore:
[tex]\displaystyle{\dfrac{d^2G}{dV_{\text out}^2} = \dfrac{d\left(\dfrac{20}{V_{\text out}\ln 10}\right)}{dV_{\text out}}}[/tex]
First, separate the constant every time when you have to differentiate a function:
[tex]\displaystyle{\dfrac{20}{\ln 10}\cdot \dfrac{1}{V_{\text out}}}[/tex]
Differentiate 1/V out: recall the formula of fraction:
[tex]\displaystyle{f(V)=\dfrac{1}{V} =V^{-1} \to f'(x)=-V^{-2} = -\dfrac{1}{V^2}[/tex]
The formula above is derived from power rules formula where:
[tex]\displaystyle{f(V)=V^n = nV^{n-1}}[/tex]
Therefore, from the function of V out:
[tex]\displaystyle{\dfrac{d^2G}{dV_\text{out}^2} = \dfrac{20}{\ln 10} \cdot \left(\dfrac{1}{V_\text{out}}\right)'}\\\\\displaystyle{\dfrac{d^2G}{dV_\text{out}^2} = \dfrac{20}{\ln 10} \cdot (V_\text{out})^{-1}}\\\\\displaystyle{\dfrac{d^2G}{dV_\text{out}^2} = \dfrac{20}{\ln 10} \cdot (-V_\text{out})^{-2}}\\\\\displaystyle{\dfrac{d^2G}{dV_\text{out}^2} = \dfrac{20}{\ln 10} \cdot \left(-\dfrac{1}{V_\text{out}^2}\right)}[/tex]
Simplify to latest as we get:
[tex]\displaystyle{\dfrac{d^2G}{dV_\text{out}^2} = -\dfrac{20}{V_\text{out}^2\ln 10}}[/tex]
Please let me know if you have any questions!
HELPPPP
All of the following relations represent functions, except which?
Responses
{(1, 2), (-2, 2), (5, 2), (4, 2)}
{(7, 8), (7, 9), (7, 10), (7, 11)}
{(0,0)}
{(1, 4), (-2, 8), (2, 2), (4, 9)}
PLEASE SHOW STEP BY STEP!
{(1, 4), (-2, 8), (2, 2), (4, 9)} it is a function as every input has a unique output. Therefore, option B is not a function.
The given coordinate points are {(1, 2), (-2, 2), (5, 2), (4, 2)}.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
A) {(1, 2), (-2, 2), (5, 2), (4, 2)}
It is a function as every input has a single output.
So, 1, -2, 5 and 4 are the elements of the domain of the given relation.
Here domain ={1, -2, 5, 4} and range ={2}
B) {(7, 8), (7, 9), (7, 10), (7, 11)}
Since the element 7 corresponds to four different images i.e., 8, 9, 10 and 11. So, this relation is not a function.
C) {(0,0)}
It is a function as every input has a single output.
So, 0 is the element of the domain of the given relation.
Here domain ={0} and range ={0}
D) {(1, 4), (-2, 8), (2, 2), (4, 9)}
It is a function as every input has a unique output.
So, 1, -2, 2 and 4 are the elements of the domain of the given relation.
Here domain ={1, -2, 2, 4} and range ={4, 8, 2, 9}
{(1, 4), (-2, 8), (2, 2), (4, 9)} it is a function as every input has a unique output. Therefore, option B is not a function.
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how many times can a honey bee beat its wings per hour? PLS I NEED THIS BECAUSE MT TEACHER DIDNT TELL US WE HAD HOMEWORK UNTIL LIKE RN AND ITS MONDAY!!!
Answer:
900,000
Step-by-step explanation:
From the given table, we are told that the honeybee beats its wings at a rate of:
250 beats per second.There are 60 seconds in a minute, and 60 minutes in an hour.
Therefore, there are:
60 × 60 = 3600 seconds in an hour.To find how many times a honeybee can beat its wings in an hour, multiply the number of times it beats its wings per second by 3600:
⇒ 250 × 3600 = 900,000
Therefore, a honeybee beats its wings 900,000 beat per hour.
Help please I don't know what to do on this and it's urgent I need this in 20 min.
Answer:
1) 112°
3) 55°
4) 51°, complementary angles
Step-by-step explanation (question one):
3x +10 +2x = 180
3x +10 +2x -10 = 180 -10
3x + 2x = 170
5x = 170
x = 34
3(x)+10 = angle ABD
3(34)+10 = angle ABD
102+10 = angle ABD
angle ABD = 112°
Step-by-step explanation (question two):
180 -70 = 2x
110 = 2x
55 = x
angle SQT = 55°
Step-by-step explanation (question three):
Since it's a right angle, we can simply subtract.
90 -39 = 51
angle b = 51°
I wish you luck on your homework!
How many pound
1/4
hamburgers can be made
from 2 1/2 pounds of ground
beef?
From the given data, total number of hamburgers of (1/4) pounds each using 2 1/2 pounds of ground beef is equal to 10.
As given in the question,
Total pounds of hamburger need to be made = 1 / 4 pounds
Total pounds of ground beef is used to make hamburger = 2 1 / 2 pounds
Let us consider 'n' be the total number of hamburger to be made each of
1 / 4 pound .
Required equation to show the given relation is given by:
n × ( 1 / 4) = 2 1/ 2
Convert mixed fraction into proper fraction we get,
⇒ n × ( 1 / 4) = 5 /2
⇒ n = ( 5/ 2) × ( 4 /1)
⇒ n = 5 × 2
⇒ n = 10 hamburgers
Therefore, from the given data, total number of hamburgers of (1/4) pounds each using 2 1/2 pounds of ground beef is equal to 10.
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The data in the table describes the preferred type of exercise of student athletes.
Cycling Running Row Totals
Male 0.22 0.32 0.54
Female 0.15 0.31 0.46
Column Totals 0.37 0.63 1.00
What is the conditional relative frequency that a female prefers running? Round your answer to two decimal places.
0.36
0.49
0.58
0.67
The conditional relative frequency that a female prefers running is 0.36
What is Statistics?Statistics is a branch of applied mathematics that involves the collection, description, analysis, and inference of conclusions from quantitative data
The specific number (females prefer cycling = 0.15) and the fitting total. There are 2 possibilities for that total :
all females
all people preferring cycling
the way it was phrased I would say the reference is all females.
the conditional relative frequency is then
0.15 / 0.46 = 0.326
Hence the conditional relative frequency that a female prefers running is 0.36
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Answer:
Step-by-step explanation:
Dont listen to the above the answer is acually 58
There is a 10% off sale on laptops. If someone saves $35 on a laptop, what was its original cost
Answer: $350
Reason: 10% of $350 is $35.
y = x² − 1
-7=-x²-y
What are the solutions?
Explanation: Please give brainly if it's right!
First move all the x and y values on one side, and the constants on the other:
-x² + y = − 1
-x² - y = -7
Multiply -1 to the 2nd equation to change signs and then solve:
-x² + y = − 1
+x² + y = +7
2y = 6
y = 3
Plug in y to either equation (I plug into the first one)
-x² + 3 = − 1
-x² = -4
x = 2
What is one over six raised to the third powerequal to?
Answer:
Step-by-step explanation:
one over the six raised to the third power = 0.00462962962
Answer:
1/216 ≅ 0.00462963
Step-by-step explanation:
Don't know if you need decimal or fraction so I put both
1/6 X 1/6 X 1/6 = 1/216
y = -4 and y = 7 determine if the equation is parallel, perpendicular, or neither.
Answer: Neither
Step-by-step explanation:
At 99°F, a certain insect chirps at a rate of 68 times per minute, and at 105°F, they chirp 80 times per minute. Write an equation in slope-intercept form that represents the situation.
Answer:y=mxb
Step-by-step explanation:
Answer:
The equation is: y = 5x - 268
1) Mei was going to sell all of her stamp
collection to buy a video game. After
selling half of them she changed her mind.
She then bought thirteen more. How
many did she start with if she now has 25?
Answer:
24
Step-by-step explanation:
let the starting number be x
she sold 1/2 x and has 1/2 x remaining with her
she bought 13 and has 25 now
so, 1/2x + 13 = 25
1/2 x= 25-13 = 12
hence x= 24
Answer:
24
Step-by-step explanation:
now Mei has 25 stamp collections after adding 13 more to what she remained with after selling; this means that after selling she was left with (25_13)=12
this is the half of what she had initially
this means that she initially had (12*2)=24
this gives means that she started with 24 as a stamp of her collection
A dressmaker sells a shirt for $75. If she makes 25% profit how much did it cost her to make the shirt?
Answer: $56.25
Step-by-step explanation:
First, I'm going to assume that she makes 25% profit on the selling price.
Set the cost of the shirt as x. Profit is calculated as selling price - cost. Profit is stated to be 25% or [tex]\frac{1}{4}[/tex], so an equation can be set up as:
[tex]\frac{1}{4} *75=75-cost\\\\cost = 75-\frac{1}{4} *75=56.25[/tex]
Which statements are ALWAYS TRUE? (SELECT ALL THAT APPLY)
A rhombus is a parallelogram.
A square has congruent diagonals.
A square is a rectangle.
A parallelogram has four congruent sides.
Answer:
statement 1 is true
statement 2 is true
statement 3 is false
statement 4 is false
statement 5 is also false cause parallelogram has 2 pair of congruent sides
What is the geometric mean between 6 and 12?
Answer:the geometric mean is the product of all the numbers in a set, with the root of how many numbers there are.
here, there are two numbers, so a square root is used.
geometric mean of
3
and
12
:
√
3
⋅
12
3
⋅
12
=
36
√
36
=
6
the value of the geometric mean of
3
and
12
is
6
.
Step-by-step explanation:
what is the coefficient of the term 4ab
a local hamburger shop sold a combined total of 520 hamburgers and cheeseburgers on tuesday they were 70 more cheeseburgers sold than hamburgers how many hamburgers were sold on tuesday
If they were 70 more cheeseburgers sold than hamburgers. The number of hamburgers that were sold on Tuesday is 225.
How to find the hamburgers sold?Total of 603 hamburgers and cheeseburgers = x+y= 520
70 more cheeseburgers than hamburgers = y=x+70
Hence,
x+y= 502
y=x+70
Substitution
x+(x+70)= 520
2x+70 = 520
-70 -70
2x= 450
2 2
x=225 hamburgers
Number of cheeseburgers
Substitute x in either equation.
y=x+ 70
y=225 +70
y=295 cheeseburgers
Therefore 225 hamburgers was sold.
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PLEASE HELP WILL MARK BRAINLIEST
which representation corresponds to the equation y=3x+1
The representation of equation y = 3x + 1 is as shown below.
The correct answer is option (D)
In this question, we have been given an equation y = 3x + 1
We need to find the correct representation of given equation.
For x = 0,
y = 3(0) + 1
y = 1
For x = 2,
y = 3(2) + 1
y = 7
for x = -1,
y = 3(-1) + 1
y = -2
This means, the options A, B and C are incorrect.
Therefore, the representation of equation y = 3x + 1 is as shown below.
The correct answer is option (D)
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A regular polygon is shown. 12 sided regular polygon Determine the measure of one of its angles.
The measure of one of its angle is 150°
A Polygon is a two-dimensional closed figure made up of line segments (not curves). Polygon is a combination of two words, poly (which means many) and gon (which means shape) (means sides). To create a closed figure, at least three line segments must be connected end to end.
Given that
12 sided regular polygon
We can use the following formula to calculate the total number of degrees in any shape:
(n−2)⋅180
[Where n = number of sides]
(12−2)⋅180
(10)⋅180
=1800
So a 12-sided polygon has 1800 degrees. To calculate the measure of one angle, divide the total number of degrees (1800) by the number of sides, n.
(1800/12) = 150°
Therefore the measure of one of its angle is 150°
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What is the distance between (-5, -5)(−5,−5)left parenthesis, minus, 5, comma, minus, 5, right parenthesis and (-9, -2)(−9,−2)left parenthesis, minus, 9, comma, minus, 2, right parenthesis?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
555
(Choice B)
B
777
(Choice C)
C
\sqrt{12}
12
square root of, 12, end square root
(Choice D)
D
\sqrt{29}
29
Based on the calculations, the distance between points (-5, -5) and (-9, -2) on a coordinate plane is equal to: A. 5 units.
How to calculate the distance on coordinates?Mathematically, the distance between two (2) points that are on a coordinate plane can be calculated by using this formula:
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Given the following points:
Points on the x-axis = (-5, -5).Points on the y-axis = (-9, -2).Substituting the given points into the formula, we have;
Distance = √[(-2 - (-5))² + (-9 - (-5))²]
Distance = √[(-2 + 5)² + (-9 + 5)²]
Distance = √[3² + 4²]
Distance = √[9 + 16]
Distance = √25
Distance = 5 units.
In conclusion, we can logically deduce that the distance between the given points on a coordinate plane is 5 units.
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Complete Question:
What is the distance between (-5, -5) and (-9, -2?
Choose 1 answer:
A. 5
B. 7
C. √12
D. √29
What is three-fourths times nine?
Your answer should be in whole or mixed number form.
Answer:
the answer is c, 6 3/4.
Step-by-step explanation:
Find the value of 8y +3 given that -11y-9=2. Simplify your answer as much as possible.p
Answer:
Step-by-step explanation:
First solve the equation:
-11y-9=2
-11y=11
y=-1.
We then take this and plug it back into the original equation:
8(-1)+3
-8+3
-5.
So your answer is -5.
Make a the subject of p= 3a+5/4-a
Answer:
4p-5/7=a
Step-by-step explanation:
4p=12a+5-5a
4p-5=12-5a
4p-5=7a
4p-5/7=a
The question linked to the chart: Write the linear function in slope-intercept form only that corresponds with this table. Please help!
A linear function in slope-intercept form that only corresponds with this table is y = 2x + 8.
How to write the linear function in slope-intercept form?Mathematically, the slope-intercept form of a straight line is given by;
y = mx + b
Where:
x and y represents the points.m represents the slope.b represents the y-intercept.Mathematically, the slope of any straight line can be calculated by using this formula;
Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope, m = (y₂ - y₁)/(x₂ - x₁)
From the information provided, we have the following parameters:
Point (x, y) = (-1, 6)
Point (x, y) = (0, 8)
Substituting the given points into the formula, we have;
Slope, m = (8 - 6)/(0 - (-1))
Slope, m = (2)/(0 + 1)
Slope, m = 2/1
Slope, m = 2.
In Mathematics, the y-intercept of a graph occurs at the point where the x-value is equal to zero (0), which is 8 in the table shown above.
Therefore, the slope-intercept form is given by:
y = mx + b
y = 2x + 8
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find the product. [5 5 [-4 9
-2 3] 8 7]
Answer:
(a)
[tex]\left[\begin{array}{cc}20&80\\32&3\end{array}\right][/tex]
Step-by-step explanation:
You want the product of the given 2×2 matrices.
SolutionThe value at any given (row, column) of the result matrix is the dot product of the corresponding row of the first matrix with the corresponding column of the second matrix.
For example, row 2 column 1 of the result will be the dot product of row 2 of the left matrix with column 1 of the right matrix:
[-2, 3]·[-4, 8] = (-2)(-4) +(3)(8) = 8 +24 = 32
This is sufficient to identify the first answer choice as the correct one.
__
Additional comment
A suitable calculator can compute the entire product for you, as in the attachment.
How do you find gradient of a linear graph?
=========================================================
Explanation:
gradient = slope
Pick any two points on the diagonal line and use the slope formula.
I'll pick the two points (0,4) and (4,10)
[tex](x_1,y_1) = (0,4) \text{ and } (x_2,y_2) = (4,10)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{10 - 4}{4 - 0}\\\\m = \frac{6}{4}\\\\m = \frac{3}{2}\\\\[/tex]
The slope is 3/2.
Meaning we go up 3 and to the right 2.
a salad dressing is made by mixing yoghurt and mayonnaise in the ratio 3 : 5
karolina makes 800 ml of the salad dressing
how much yoghurt does she use?
give your answer in mililetres (ml)
Answer:
Step-by-step explanation:
The amount of yogurt that Karolina used when making 800 ml of salad is 300 ml.
A salad dressing is made by mixing yoghurt and mayonnaise in the ratio
3:5. For 800 ml of salad:
Amount of yoghurt = (3 / (3 + 5)) * 800 ml = 300 ml
The amount of yoghurt that Karolina used when making 800 ml of salad is 300 ml.