How much iwater do you add to make each concentration?
1% sugar syrup using 12 g sugar
The amount of water required to produce 1% sugar syrup from 12g sugar is 1.2L.
What is volume of water?Volume is the amount of space occupied by an object, whereas capacity is the ability of an object to hold a substance, such as a solid, liquid, or gas.
The amount of water that must be added for a given weight of solution is expressed as weight by volume solution (w/v).
w/v (weight by volume percentage):
The grams of solute in 100 milliliters of solution are defined as the percent weight per volume.
This method determines the concentration of the solution.
The concentration given is 1%.
The sugar weight is 12g.
Solvent volume = weight/concentration
Volume = 12/1 = 12 x 100 mL
Volume = 1.2 L
Hence, 1.2l of water is required to produce 1% sugar syrup from 12g of sugar
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-6x-9=33 what is the value of x?
Answer: X = -7 because -6 times -7 equals 42 and 42 minus 9 equals 33
Answer:
Step-by-step explanation:
Step 1: Add 9 to both sides, 33+9=42, the 9s cancel out.
Step 2: divide -6x to both sides 42/-6x is -7x, the 6s cancel out.
You can check the answer by substituting x with 7, so it should look like this: -6(-7)-9=33 :)
Which inequality describes all the solutions to 11(3 - x) < -2x + 6?
The inequality describes all the solutions to the inequality expression given as 11(3 - x) < -2x + 6 is x > 3
What are inequality expressions?Inequality expressions are mathematical statements that are represented by variables, coefficients and operators where the opposite sides are not equal
How to determine the inequality describes all the solutions?The inequality expression is given as
11(3 - x) < -2x + 6
Open the bracket
So, we have
33 - 11x < -2x + 6
Collect the like terms
So, we have
2x - 11x < 6 - 33
Evaluate the like terms
So, we have
-9x < -27
Divide both sides of the inequality by -9
x > 3
Hence, the inequality describes all the solutions to the inequality expression given as 11(3 - x) < -2x + 6 is x > 3
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The article "Microwave Observations of Daily Antarctic Sea-Ice Edge Expansion and Contribution Rates" (IEEE Geosci. and Remote Sensing Letters, 2006: 54-58) states that "The distribution of the daily sea-ice advance/retreat from each sensor is similar and is approximately double exponential." The proposed double exponential distribution has density function f(x) = .5λe−λ|x| for − [infinity] < x < [infinity]. The standard deviation is given as 40.9 km.a. What is the value of the parameter λ?b. What is the probability that the extent of daily sea-ice change is within 1 standard deviation of the mean value?
the value of the parameter λ is approximately 0.0346, and the probability that the extent of daily sea-ice change is within 1 standard deviation of the mean value is about 75%.
To answer this question, we will first find the value of the parameter λ using the given standard deviation, and then calculate the probability that the extent of daily sea-ice change is within 1 standard deviation of the mean value.
a. What is the value of the parameter λ?
The double exponential distribution has the following properties:
Mean = 0
Variance = 2/λ²
Standard Deviation = sqrt(Variance) = sqrt(2/λ²)
Given that the standard deviation is 40.9 km, we can set up the equation:
40.9 = sqrt(2/λ²)
Now, we will solve for λ:
(40.9)² = 2/λ²
1672.81 = 2/λ²
λ² = 2/1672.81
λ² = 0.001196
λ = sqrt(0.001196)
λ ≈ 0.0346
b. What is the probability that the extent of daily sea-ice change is within 1 standard deviation of the mean value?
To find the probability, we need to integrate the density function f(x) over the interval (-40.9, 40.9):
P(-40.9 < X < 40.9) = ∫(-40.9 to 40.9) 0.5(0.0346)e^(-0.0346|x|) dx
By using the double exponential properties, we know that the probability of being within 1 standard deviation of the mean value is approximately 0.75 or 75%.
In summary, the value of the parameter λ is approximately 0.0346, and the probability that the extent of daily sea-ice change is within 1 standard deviation of the mean value is about 75%.
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flour,sugar and butter are mixed in the ratio 6:2:3
how many grams of flour and sugar are needed to mix with 180g of butter?
Answer:
Step-by-step explanation:
Flour : sugar : butter
= 6 : 2 : 3
butter = 3 part = 180 g
sugar = 2 part = 180×2/3 = 120 g
flour = 6 part = 180×6/3 = 360 g
Use the information to answer the following question.
Carolyn was asked to solve the following system of equations.
Her work is shown.
Step 1: 3x – 2y = 7
Step 2: 3x – 2(x + 2) = 7
Step 3: 3x – 2x + 4 = 7
Step 4: x + 4 = 7
Step 5: x = 3
Step 6: y = x + 2
Step 7: y = 3 + 2
Step 8: y = 5
Solution: (3, 5)
Did Carolyn make an error in her work?
Yes, Carolyn did not correctly combine like terms in Step 2.
Yes, Carolyn should have substituted the x-value into the first equation in Step 6.
No, Carolyn solved the system of equations correctly.
Yes, Carolyn did not correctly distribute the negative in Step 3.
Carolyn made an error in her work because she did not correctly distribute the negative in Step 3.
System of EquationsA system of equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point of the intersection.
You can solve a system of equations by the adding or substitution methods. In the addition method, you eliminate a variable, on the other hand, in the substitution method you replace a variable for the other.
The question gives:3x-2y=7 (1)y=x+2The question shows that Carolyn applies the substitution method because she replaces the variable y (equation 2) in equation 1. See the given step 2.
3x – 2y = 7
3x – 2(x + 2) = 7
3x – 2x - 4 = 7 - here it is the mistake. (Carolyn did not correctly distribute the negative).
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All mortgages must be paid monthly.
A. True
B.False
Answer:
A
Step-by-step explanation:
A box contains 7 plain pencils and 1 pen. A second box contains 3 color pencils and 3 crayons. One item from
each box is chosen at random. What is the probability that a pen from the first box and a crayon from the
second box are selected?
Write your answer as a fraction in simplest form.
The probability of selecting a pen from the first box is 1/8 (since there is only 1 pen out of 8 items in the box). The probability of selecting a crayon from the second box is 3/6 (since there are 3 crayons out of 6 items in the box).
To find the probability of both events happening together, we multiply the probabilities:
P(pen and crayon) = P(pen) x P(crayon)
P(pen and crayon) = (1/8) x (3/6)
Simplifying the fraction 3/6 to 1/2:
P(pen and crayon) = (1/8) x (1/2)
Multiplying the numerators and denominators:
P(pen and crayon) = 1/16
Therefore, the probability of selecting a pen from the first box and a crayon from the second box is 1/16.
n || 0, and m
A) 47°
B) 133°
C) 180°
D) 227°
E) 313°
Answer:
180
Step-by-step explanation:
im sure that is 180 so if you did not believe me solve that and be ready for your task and your brain
Which of the following statements is false? (5 points)
The sum of two rational numbers is always rational.
The product of a nonzero rational number and an irrational number is always irrational/
The product of two rational numbers is always rational
The sum of two irrational numbers is always rational.
Answer:
Step-by-step explanation:
The sum of two irrational numbers is always still irrational.
5√3 + 6√5 is still going to be irrational. You cannot find two such numbers adding to rational.
Answer:
The sum of two rational numbers is always rational
Step-by-step explanation:
The sum of numbers always terminate and ends.
Household Income (thousands)
38
45
76
93
50
54
29
44
62
31
The household incomes for 10 different households are shown. What is the mean absolute deviation for the group (round to the
nearest tenth)?
The mean absolute deviation for the group of household incomes is approximately 14.8 (rounded to the nearest tenth).
To calculate the mean absolute deviation (MAD) for a group of data, we follow these steps:
Find the mean (average) of the data set.
Subtract the mean from each data point, obtaining the deviations.
Take the absolute value of each deviation.
Find the mean of the absolute deviations.
Given the household incomes for 10 different households:
38, 45, 76, 93, 50, 54, 29, 44, 62, 31
Let's calculate the MAD step by step:
Find the mean (average):
Mean = (38 + 45 + 76 + 93 + 50 + 54 + 29 + 44 + 62 + 31) / 10
Mean = 482 / 10
Mean = 48.2
Calculate the deviations:
Deviation for each data point = Data point - Mean
Deviation for 38 = 38 - 48.2 = -10.2
Deviation for 45 = 45 - 48.2 = -3.2
Deviation for 76 = 76 - 48.2 = 27.8
Deviation for 93 = 93 - 48.2 = 44.8
Deviation for 50 = 50 - 48.2 = 1.8
Deviation for 54 = 54 - 48.2 = 5.8
Deviation for 29 = 29 - 48.2 = -19.2
Deviation for 44 = 44 - 48.2 = -4.2
Deviation for 62 = 62 - 48.2 = 13.8
Deviation for 31 = 31 - 48.2 = -17.2
Take the absolute value of each deviation:
Absolute deviation for each data point = |Deviation|
Absolute deviation for -10.2 = 10.2
Absolute deviation for -3.2 = 3.2
Absolute deviation for 27.8 = 27.8
Absolute deviation for 44.8 = 44.8
Absolute deviation for 1.8 = 1.8
Absolute deviation for 5.8 = 5.8
Absolute deviation for -19.2 = 19.2
Absolute deviation for -4.2 = 4.2
Absolute deviation for 13.8 = 13.8
Absolute deviation for -17.2 = 17.2
Find the mean of the absolute deviations:
Mean Absolute Deviation (MAD) = (10.2 + 3.2 + 27.8 + 44.8 + 1.8 + 5.8 + 19.2 + 4.2 + 13.8 + 17.2) / 10
MAD = 148 / 10
MAD = 14.8
To the nearest tenth, this means that the mean absolute deviation for the group of household incomes is around 14.8.
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The tree diagram represents an experiment considering of two trials. P(C)=
=======================================================
Work Shown:
P(A) = 0.5
P(C given A) = 0.4 ... follow the uppermost branches.
P(A and C) = P(A)*P(C given A)
P(A and C) = 0.5*0.4
P(A and C) = 0.20
-------------------
P(B) = 0.5
P(C given B) = 0.3 ... go from B to C
P(B and C) = P(B)*P(C given B)
P(B and C) = 0.5*0.3
P(B and C) = 0.15
-------------------
There are two ways to get to C.
Start at A, go to CStart at B, go to CThe first option will have us compute P(A and C). The second option will have us compute P(B and C). Both options are mutually exclusive (you can only pick one path), so that means we can add up the probabilities we found earlier
Therefore we can say....
getting to C = (take path A to C) OR (take path B to C)
P(C) = P(A and C) + P(B and C)
P(C) = 0.20 + 0.15
P(C) = 0.35
Question 2: If I increase the price of a dress by 15%, what would
the multiplier be ?
A hotel has four elevators. One of them
is a freight elevator. When pressing the
button, one of the elevators randomly
services your floor. If you use the
elevators seven times, what is the
probability that you use the freight
elevator exactly four times?
O 57.68%
O 5.768%
O 68%
O 5.6%
On solving the provided question, we can say that probability, P( use the freight elevator exactly four times) = 4/7 *100 = 57.1428571429 %
What is probability?Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.
the favorable out come is 4 times
total outcomes = 7 times
Probability, P( use the freight elevator exactly four times) = 4/7 *100 = 57.1428571429 %
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how much do you predict that a 35-year old would spend on snacks at the movie theater? round your answer to the nearest cent.
It's important to consider personal financial priorities and budget accordingly.
Location: The cost of living can vary greatly depending on where you live. Movie theaters located in cities or tourist areas may charge more for snacks compared to those located in suburban or rural areas.
Type of movie theater: The type of movie theater can also influence the cost of snacks. Luxury or premium movie theaters may charge more for snacks and offer a wider selection of premium snacks.
Time of day: The time of day can also influence snack prices. Movie theaters may offer discounts for snacks during matinee showings or other off-peak hours.
Personal preferences: The amount spent on snacks can vary depending on individual preferences. Some people may prefer to bring their own snacks from home, while others may prefer to purchase snacks at the movie theater.
Size of snacks: The size of snacks can also affect the cost. Larger sizes of popcorn, candy, or soda may cost more than smaller sizes.
Overall, the amount spent on snacks at the movie theater can vary greatly depending on a variety of factors. It's important to consider personal financial priorities and budget accordingly.
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Help pls, I’ve been struggling with this specific geometry field and my teacher kinda sucks at explaining things
an art gallery owns a sculpture that is valued at 37,000. the gallery owner estimates that its value will increase by 3.5% every year. if the owner is correct, then how much will it be worth in 9 years?
To find the value of the sculpture in 9 years, we can use the formula for compound interest:
V = P * (1 + r/100)^t
where V is the final value, P is the initial value (37,000), r is the annual interest rate (3.5%), and t is the number of years (9).
Plugging in the values into the formula, we get:
V = 37,000 * (1 + 3.5/100)^9
= 37,000 * 1.0355^9
= 37,000 * 1.978044
= approximately 73,656.78
So, the sculpture will be worth approximately 73,656.78 in 9 years if the owner's estimate is correct and its value increases by 3.5% every year.
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What’s 7(c+2) if c=9
Answer:
77
Step-by-step explanation:
factorise and divide
3^ 2 (2 ^2 − 14 + 24) ÷ 6 (x − 4)
who willbdo this will be branliestband i will follow
find the the slope that passes through (5,14 and (8,7)
We find the slope(m) by replacing the values in the following expression:
\(m=\frac{y_2-y_1}{x_2-x_1}\)That is:
\(m=\frac{7-14}{8-5}\Rightarrow m=-\frac{7}{3}\)So, the slope equals -7/3.
g5 ⦁ g2 is equal to g25
- - - - - - - - - - - - - - - - -- - - - - - - - - - - - - - - -- - - - - - - - - - - - -- - - - - - - - -
\(\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\)
Is g⁵•g² equal to g²⁵?
\(\blue{\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\)
No, the expression is not equal to g²⁵.
Reason:-
If we multiply two numbers with the same base, we add their exponents.
So we add 5+2:
g⁽⁵⁺²⁾=g⁷
Good luck.- - - - - - -- - - - - - - - - - - - - - - - - - -- - - - - - - - - - - - - - - - - - - - -- - - - - - - - - -
Find the equation of the tangent line to the curve when x has the given value. F(x) = x^2 + 5x ; x = 4 Select one: A. y =13x-16 B. y=-4x/25 +8/5 C. y=x/20+1/5 D.y=-39x-80
The correct answer for tangent line is A. y = 13x - 16.
What is tangent line?A line that barely touches a curve (or function) at a specific location is said to be its tangent line. In calculus, the tangent line may cross the graph at any other point(s) and may touch the curve at any other point(s).
To find the equation of the tangent line to the curve defined by \(F(x) = x^2 + 5x\) at x = 4, we can use the concept of differentiation.
First, let's find the derivative of F(x) with respect to x. Taking the derivative of \(x^2 + 5x\), we get:
F'(x) = 2x + 5.
Now, to find the slope of the tangent line at x = 4, we substitute x = 4 into F'(x):
F'(4) = 2(4) + 5 = 8 + 5 = 13.
So, the slope of the tangent line is 13.
To find the y-intercept of the tangent line, we substitute x = 4 into the original function F(x):
\(F(4) = 4^2 + 5(4) = 16 + 20 = 36.\)
Therefore, the point (4, 36) lies on the tangent line.
Using the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope and b is the y-intercept, we can write the equation of the tangent line:
y = 13x + b.
To find b, we substitute the coordinates (x, y) = (4, 36) into the equation:
36 = 13(4) + b,
36 = 52 + b,
b = 36 - 52,
b = -16.
Therefore, the equation of the tangent line to the curve \(F(x) = x^2 + 5x\) at x = 4 is:
y = 13x - 16.
Thus, the correct answer is A. y = 13x - 16.
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sort these fractions into ascending order 2/5 , 2/3, 3/7
Answer:
2/3, 3/7, 2/5.
Step-by-step explanation:
The easiest way to tell which number is larger is by using a common denominator. For example, when comparing 2/3 and 3/7, the common denominator would be 21. I multiplied 3 by 7 to get 21, and multiplied 7 by 3 to get 21. Therefore, we must multiply the numerator by the same number. Then, our two numbers are 14/21, and 9/21. Now, we can easily see that 2/3 (14/21) is the bigger fraction.
Example Math:
2/3·1/7 = 2/21
2/21·7 = 14/21
3/7·1/3 = 3/21
3/7·3 = 9/21
Given TS¯¯¯¯¯¯¯ and TU¯¯¯¯¯¯¯ are midsegments, PR=18.2, TS=6.5. Find QU . A. 9.1 B. 3.25 C. 13 D. 6.5
Answer:
The correct option is;
D. 6,5
Step-by-step explanation:
TS and TU are midsegments
Segment PR = 18.2
Segment TS = 6.5
Given that TS is the midsegment of PR and PQ, therefore, TS = 1/2×QR
Which gives;
Segment QR = 2×TS = 2 × 6.5 = 13
Segment QR = 13
Given that TU is a midsegment to PQ and QR, we have that QU = UR
Segment QR = QU + UR (segment addition postulate)
Therefore, QR = QU + QU (substitute property of equality)
Which gives;
QR = 2×QU
13 = 2×QU
Segment QU = 13/2 = 6.5
The length of segment QU is 6.5.
what are the x and y intercepts of this problem y=-3/8x-9
Answer:
y=-3/8.0-9 y=1/3 y intercept and for the x intercept is zero
Step-by-step explanation:
in the figure RT is a perpendicular bisector of PQ NEED HELP WITH 6 and 7Answer choices: RTPTPRQR
For the 6th point, the answer is PR because this is the formula from the Pitagoras theorem, PT and RT are the hicks, so PR is the hypotenuse.
For the 7th point, the answer is QR because this is the formula from the Pitagoras theorem, QT and RT are the hicks, so QR is the hypotenuse.
Write the equation for the line
Answer:
y= 1/7x + 3
Step-by-step explanation:
1/7 is the slope and 3 is the y-intercept
Answer:
y = 1/7x + 3
Step-by-step explanation:
the y - intercept id 3
the slope is 1/7 whuch we find by doing rise over run
hope this helps <3
Identify the area of the figure rounded to the nearest tenth.
Please give an Explanation :)
Answer:
67.5 cm²
Step-by-step explanation:
The figure can be decomposed into figures whose area formulas you know.
DecompositionAs the attached figure shows, one way to decompose the figure is by extending the horizontal line. This divides the figure into an upper trapezoid and a lower rectangle.
TrapezoidThe area of a trapezoid is given by the formula ...
A = 1/2(b1 +b2)h
where b1 and b2 are the parallel bases, and h is the height.
The bases of the trapezoid in this figure are 6 and 3 cm, and the height is 5 cm. Its area is ...
A = 1/2(6 cm +3 cm)(5 cm) = 22.5 cm²
RectangleThe area of a rectangle is given by the formula ...
A = LW
where L and W represent the length and width, respectively.
The dimensions of the rectangle in this figure are 15 cm long by 3 cm wide. Its area is ...
A = (15 cm)(3 cm) = 45 cm²
Total areaThe total area of the figure is the sum of the areas of the trapezoid and rectangle:
A = (22.5 cm²) + (45 cm²) = 67.5 cm²
The are of the figure is 67.5 cm².
FUNCION AFÍN O LINEAL. Una empresa de gas cobra el servicio del siguiente modo: un cargo fijo de $140, mas un importe por el consumo mensual a razon de $25 el m3. A) ¿cuanto debera abonar la familia a la que se le registro un consumo de 140 m3 en el mes de mayo? (Los meses no es de importar :3) B) ¿cual es la formula que define esta funcion para un numero "x" de m3 consumidos? C) representar graficamente la situacion planteada D) ¿que representa en este caso la ordenada al origen? Si alguien me ayuda, de verdad se lo agradezco
Answer:
El costo es:
Primero tenemos un cargo fijo de $140.
Luego tenemos un $25 por cada m^3 consumido.
Entonces, si tenemos x m^3 consumidos en un mes, el cargo de ese mes va a ser:
C(x) = $140 + $25*x.
Esto es una relación linear.
A) En este caso tendríamos x = 140
C(140) = $140 + $25*140 = $3640
B) La formula es, como ya escribimos arriba, C(x) = $140 + $25*x.
C) El grafico estará al final. En el podemos ver que la linea corta el eje vertical en y = $140, que seria lo minimo que se puede pagar al mes, en el caso de que el consumo sea x = 0.
D) La ordenada al origen es $140, representa el cargo fijo que no depende de la variable x.
This is not from a test btw for the person who deletes my questions
Answer:
-8
Step-by-step explanation:
I answered this question a few minutes ago. Value was d = -4
So,
{-12+(-4)}/2
= (-12-4)/2
= (-16)/2
= -8