Based on the above, the weight of the other ingredients in the cake is about 850 grams.
What is the weight about?To determine the weight of the other ingredients in the cake, one need to subtract the weight of the flour as well as the eggs from the total weight of the cake.
Note that from the question:
Weight of flour = ¾ kg = 750 gNumber of eggs = 4Weight of each egg = 100 gSo: Weight of flour and eggs = (Weight of flour) + (Number of eggs × Weight of each egg)
= 750 g + (4 × 100 g)
= 750 g + 400 g
= 1150 g
Hence: The Total weight of the cake = 2 kg = 2000 g
Going further:
Weight of other ingredients = Total weight of the cake - Weight of flour and eggs
= 2000 g - 1150 g
= 850 g
Therefore, the weight of the other ingredients that is seen in the cake is 850 grams.
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See text below
To make a 2 kg cake, ¾ kg of flour and 4 eggs (weighing 100 g each) are needed, in addition to other ingredients. What is the weight of the other ingredients in the cake?
PLEASE HELP WILL MARK BRAINLIEST AND THANK YOU
Answer:
p = 6\(\sqrt{2}\)
Step-by-step explanation:
Using the cosine ratio in the right triangle and the exact value
cos45° = \(\frac{1}{\sqrt{2} }\) , then
cos45° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{6}{p}\) = \(\frac{1}{\sqrt{2} }\) ( cross- multiply )
p = 6\(\sqrt{2}\)
question a local convenience store in a large city closes each day at 10 p.m. the owner of the store is investigating whether mean sales will increase by at least $10 per day if the store remains open until 11 p.m. the owner asked the 41 members of a local civic group to estimate the amount of money they might spend during the extra hour. the sample mean was $11.50. the owner will conduct a one-sample t -test for a population mean.
The conditions for inference has been not met the sample wasn't chosen using a random method.
Sample mean , μ = 11.50
Total people estimated, x = 41
Mean sale increases by 10 per day
z = x - μ / σ
z = 41 -11.5/10
z = 2.95
Necessary condition for inference is
Three necessary conditions must be met to do inference are -
The randomness of the sample,
The distribution should approximate the normal distribution
The samples taken and their observations need to be independent of each other.
Selection cannot be selected randomly because specific group of people are selected
Hence, No, the sample was not chosen using a random method.
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The question is incomplete the complete question is :
question a local convenience store in a large city closes each day at 10 p.m. the owner of the store is investigating whether mean sales will increase by at least $10 per day if the store remains open until 11 p.m. the owner asked the 41 members of a local civic group to estimate the amount of money they might spend during the extra hour. the sample mean was $11.50. the owner will conduct a one-sample t -test for a population mean.
Have the conditions for inference been met?
A. Yes, all conditions have been met.
B. No, the sample was not chosen using a random method.
C. No, the sample size is greater than 10 percent of the population.
D. No, the sample size is not large enough to assume normality of the sampling distribution.
E. No, the distribution of the sample is not normal.
A cat gave birth to
3
33 kittens who each had a different weight between
147
147147 and
159
g
159g159, start text, g, end text.
Then, the cat gave birth to a
4
th
4
th
4, start superscript, start text, t, h, end text, end superscript kitten that weighed
57
g
57g57, start text, g, end text. [Show data]
How will the birth of the
4
th
4
th
4, start superscript, start text, t, h, end text, end superscript kitten affect the mean and median?
Answer:
B
Step-by-step explanation:
Urban rail systems have been proposed to alleviate traffic congestion, but results in many cities have been cited as evidence that this approach to traffic management is ineffective. For example, a U.S. city that opened three urban rail branches experienced a net decline of 3,100 urban rail commuters during a period when employment increased by 96,000. Officials who favor urban rail systems as a solution to traffic congestion have attempted to counter this argument by noting that commuting trips in that city represent just 20 percent of urban travel.
The response of the officials to the claim that urban rail systems are ineffective is most vulnerable to criticism on the grounds that it
A) presents no evidence to show that the statistics are incorrect
B) relies solely on general data about U.S. cities rather than data about the city in question
C) fails to consider that commuting trips may cause significantly more than 20 percent of the traffic congestion
D) fails to show that the decline in the number of urban rail commuters in one U.S. city is typical of U.S. cities generally
E) provides no statistics on the use of urban rail systems by passengers other than commuters
Answer:
C) fails to consider that commuting trips may cause significantly more than 20 percent of the traffic congestion
Step-by-step explanation:
The correct option is - C) fails to consider that commuting trips may cause significantly more than 20 percent of the traffic congestion
Reason -
Option A is incorrect because the statistics can not be incorrect.
Option B is incorrect because they are not talking about the city.
Option C is correct because Urban rail reduces congestion.
Option D is incorrect because the opposers cited the example of one city and the supporters are presenting evidence in the case of that city itself.
Option E is incorrect because they are providing an explanation for why the commuters data given by opposers is not relevant. The opposers talked about commuters.
Given the demand function D(p) = 100 – 2p, Find the Elasticity of Demand at a price of $4 Preview At this price, we would say the demand is: Inelastic Elastic Unitary Based on this, to increase revenue we should: Raise Prices Lower Prices Keep Prices Unchanged
We are given the demand function D(p) = 100 - 2p and we need to find the Elasticity of Demand (E) at a price of $4.
Step 1: Calculate the quantity demanded at the given price At p = $4, the demand function is: D(4) = 100 - 2(4) = 100 - 8 = 92
Step 2: Calculate the first derivative of the demand function with respect to price (dD/dp) dD/dp = -2 (since the derivative of 100 - 2p with respect to p is -2)
Step 3: Calculate the Elasticity of Demand (E) using the formula E = (dD/dp)*(p/D(p)) E = (-2)*(4/92) = -8/92 ≈ -0.087
Since the Elasticity of Demand (E) is between 0 and -1, the demand is inelastic at this price. Based on this, to increase revenue, we should raise prices because when demand is inelastic, raising prices will lead to a smaller decrease in quantity demanded and an overall increase in revenue.
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Please help, this is due soon
Answer:
21 miles
Step-by-step explanation:
Each 1/6 is equal to 1 mile because 5/6 is equal to 5 miles. 1/2 is 3/6 so 3 miles. 6/6 is 6 miles so 3 is 3*6. This means it is 18+3 or 21 miles.
Have a great day!
point $o$ is the center of an ellipse with major axis $\overline{ab}$ and minor axis $\overline{cd}.$ point $f$ is one focus of the ellipse. if $of
Given that $OF = 9$ and $OF' = 12,$ where $F$ and $F'$ are the foci of the ellipse, we can determine the lengths of the major and minor axes.
In an ellipse, the sum of the distances from any point on the ellipse to the two foci is constant. This property is expressed by the equation:
$$PF + PF' = 2a,$$
where $P$ is any point on the ellipse and $a$ is the semi-major axis. In our case, $P = O,$ and since $OF = 9$ and $OF' = 12,$ we have:
$$9 + 12 = 2a,$$
$$21 = 2a.$$
Therefore, the semi-major axis $a$ is equal to $\frac{21}{2} = 10.5.$
The distance between the center of the ellipse and each focus is given by $c,$ where $c$ is related to $a$ and the semi-minor axis $b$ by the equation:
$$c = \sqrt{a^2 - b^2}.$$
We can solve for $b$ using the distance to one focus:
$$c = \sqrt{a^2 - b^2},$$
$$c^2 = a^2 - b^2,$$
$$b^2 = a^2 - c^2,$$
$$b = \sqrt{a^2 - c^2}.$$
Substituting the known values:
$$b = \sqrt{10.5^2 - 9^2},$$
$$b = \sqrt{110.25 - 81},$$
$$b = \sqrt{29.25},$$
$$b \approx 5.408.$$
Therefore, the semi-minor axis $b$ is approximately $5.408.$
Finally, we can determine the lengths of the major and minor axes:
The major axis $\overline{AB}$ is twice the semi-major axis, so $\overline{AB} = 2a = 2(10.5) = 21.$
The minor axis $\overline{CD}$ is twice the semi-minor axis, so $\overline{CD} = 2b = 2(5.408) \approx 10.816.$
Therefore, the major axis $\overline{AB}$ is $21$ units long, and the minor axis $\overline{CD}$ is approximately $10.816$ units long.
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what is the slope of (1,-1) (4,8)
Answer:
The slope of the line passing through the points (1, -1) and (4, 8) is 3.
Step-by-step explanation:
The slope of a line passing through two points (x1, y1) and (x2, y2) is given by the following formula:
\(slope = (y2 - y1) / (x2 - x1)\)
Here, the given points are (1, -1) and (4, 8). So,
\(slope = (8 - (-1)) / (4 - 1) = 9 / 3 = 3\)
Therefore, the slope of the line passing through the points (1, -1) and (4, 8) is 3.
What is the equation of a line that is parallel to the line 2x + 5y = 10 and passes through the point (-5, 1)? Check all
that apply.
Oy=-x-1
2x + 5y = -5
Oy=-x-3
2x + 5y = -15
y - 1=-2/5(x+ 5)
Answer:
A: y = -2/5x - 1
B: 2x + 5y = -5
E: y - 1 = -2/5(x+5)
Step-by-step explanation:
I only got 2 out of 3 answers, but the ones listed above should be correct :) Hope this helps! :D
The equation of the line is 2x + 5y = -5.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
The equation of a line that is parallel to the line 2x + 5y = 10 will have the same slope as the given line, which is -2/5.
Using the point-slope form of the equation of a line, we can find the equation of the line passing through the point (-5, 1) with slope -2/5:
y - 1 = (-2/5)(x + 5)
Multiplying both sides by 5.
5y - 5 = -2x - 10
Adding 10 to both sides.
2x + 5y = -5
Now,
2x + 5y = -5
This can be written as,
5y = -2x -5
y = (-2/5)x - 1
Thus,
The equation of the line is 2x + 5y = -5.
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Serenity filled up her car with gas before embarking on a road trip across the country. Let � G represent the number of gallons of gas remaining in her gas tank after driving for � t hours. A graph of � G is shown below. Write an equation for � G then state the � y-intercept of the graph and determine its interpretation in the context of the problem.
The equation is: G = -⁵/₄t + 15
The slope of the function represents that ⁵/₄ gallons of gas is consumed to drive the car for one hour.
How to find the linear equation of the graph?The formula for the equation of a line in slope intercept form is:
y = mx + c
where:
m is slope
c is y-intercept
From the graph, we see that:
y-intercept = 15 gallons
Now, the slope is gotten from the formula:
Slope = (y₂ - y₁)/(x₂ - x₁)
Slope = (10 - 5)/(4 - 8)
Slope = -⁵/₄
Thus, equation is:
G = -⁵/₄t + 15
The slope of the function represents that ⁵/₄ gallons of gas is consumed to drive the car for one hour.
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The area of a triangular sail is given by the expression 12bh, where b is the length of the base and h is the height. What is the area of a triangular sail in a model sailboat when b = 12 inches and h = 7 inches?
Answer:
42 square inches
Step-by-step explanation:
Area of a triangle = (1/2)(base)(height)
A = 1/2(12)(7)
A = 1/2(84)
A = 42
What is the product of 630 and 7.2 • 10^4
Answer:
72,630
Step-by-step explanation:
630 + 7.2 x 10^4= 72,630
The value of the product of 630 & 7.2×10⁴ is 4.536 x 10⁷.
What is the scientific notation of a number?The standard form for a number is a method by which we write number in a format like b×10ˣ. The value of b should be in between 0 to 10.
To multiply two numbers in scientific notation, we can first multiply their coefficients and then add their exponents.
630 can be written as 6.3 x 10² in scientific notation.
7.2 x 10⁴ is already in scientific notation.
So, the product of 630 and 7.2 x 10⁴ can be found by multiplying the coefficients and adding the exponents:
(6.3 x 10²) x (7.2 x 10⁴)
= (6.3 x 7.2) x (10² x 10⁴) (using the distributive property of multiplication)
= 45.36 x 10⁶ (multiplying the coefficients)
= 4.536 x 10⁷ (simplifying the exponent by moving the decimal point to the left)
Therefore, the product of 630 and 7.2 x 10⁴ is 4.536 x 10⁷.
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can someone please help me with number one asap!!
Answer:
a = 60
b = 60
c = 120
Step-by-step explanation:
For a;
a + 120 = 180
This is because angles on a straight line are supplementary
a = 180-120
a = 60
a = b = 60
This is because they are corresponding angles and corresponding angles are equal
c = 120
This is because they are alternate exterior angles and alternate exterior angles are equal
5. The base of a rectangular prism has
an area of 23 square cm. The height of
the rectangular prism is 3 cm. What is
the volume of this rectangular prism?
Answer:
1. length×width × height
4×9×10
=360cm
2.base×height
36×65
=2340 inches
if the two values compared by the nullif function are equal, what value does the function return?
When the two values compared by the NULLIF function are equal, the function returns a NULL value. This is because the NULLIF function is designed to return NULL when the two compared values match, allowing for easier handling of data in certain situations.
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The two values compared by the nullif function are equal, the function will return a null value. This is because the nullif function compares two expressions and returns a null value if they are equal, otherwise it returns the first expression. In other words, nullif will only return a non-null value if the two expressions being compared are not equal.
the nullif function is commonly used in SQL to handle null values in expressions or comparisons. It allows you to substitute a null value with another value or nullify an expression if a specific condition is met. If the two values compared by the nullif function are equal, it means that the expression is nullified, and the function will return a null value.
the nullif function is a useful tool for handling null values in SQL. If the two values compared by the function are equal, it will return a null value. It is important to keep this in mind when using the function in your SQL queries.
Hi! I'd be happy to help with your question.
If the two values compared by the NULLIF function are equal, the function returns a NULL value.
The NULLIF function compares two expressions and returns a NULL value if they are equal. Otherwise, it returns the value of the first expression. The syntax for the NULLIF function is: NULLIF(expression1, expression2).
the NULLIF function returns NULL when the two compared values are equal, and the value of the first expression when they are not equal.
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we find t=2.73 with 5 degrees of freedom. what is the appropriate p-value.
The appropriate p-value for a t-value of 2.73 with 5 degrees of freedom is approximately 0.05. This indicates that there is a 5% chance of observing a t-value as extreme as 2.73 or more extreme, assuming the null hypothesis is true.
In statistics, the p-value measures the strength of evidence against the null hypothesis. The null hypothesis states that there is no significant difference or effect in the population being studied. The p-value is calculated by determining the probability of obtaining a test statistic (in this case, the t-value) as extreme as or more extreme than the observed value, assuming the null hypothesis is true.
To determine the appropriate p-value for a t-value, we typically consult a t-distribution table or use statistical software. In this case, with 5 degrees of freedom and a t-value of 2.73, we look up the critical value or use software to find the corresponding p-value. The p-value associated with a t-value of 2.73 and 5 degrees of freedom is approximately 0.05.
The p-value of 0.05 indicates that there is a 5% chance of obtaining a t-value as extreme as 2.73 or more extreme, assuming the null hypothesis is true. Generally, a p-value of 0.05 or lower is considered statistically significant, implying that the observed result is unlikely to have occurred by chance alone. If the p-value is below a predetermined significance level (often denoted as α, commonly set at 0.05), we reject the null hypothesis in favor of an alternative hypothesis. If the p-value is above the significance level, we fail to reject the null hypothesis.
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Adam works at a bakery. He uses 1/8 of his flour supply to make bread and 3/4 of his flour supply to make other baked goods. If Adam used 21 pounds of flour, how much flour did he have in this supply?
A. 22 pounds
B. 24 pounds
C. 34 pounds
D. 63 pounds
Answer: B
he has 24 in his supply!
Step-by-step explanation:
simplify the following
The simplest form of the expression can be shown as;
(y - 4) (y + 1)/(y + 4) (y - 3)
What is the simplified form?Simplifying algebraic expressions involves reducing or combining like terms, applying the distributive property, and performing operations such as addition, subtraction, multiplication, and division.
Step 1;
We know that we can write the expression as shown in the form;
(y - 1) (y + 2)/ (y + 3) ( y + 4) ÷ (y + 2) (y - 5)/(y + 3) ( y - 4) * (y + 1) (y - 5)/ (y -1) (y - 3)
Step 2;
(y - 1) (y + 2)/ (y + 3) ( y + 4) * (y + 3) ( y - 4)/(y + 2) (y - 5) * (y + 1) (y - 5)/ (y -1) (y - 3)
Step 3;
The simplest form then becomes;
(y - 4) (y + 1)/(y + 4) (y - 3)
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after 18 years, Rajesh will be 4 times as old as he is now. His present age is.....
Answer:
his present age is 6??
Step-by-step explanation:
correct me if im wrong^^
James knows that he eventually wants to buy a motocycle, and the model he has in mind cost $5000. he has found a bank that will let him open a saving account with 7% interest that is compounded monthly. if he wants to buy his motocycle in 5 years ( he's still nervious) how much money should he invest in the account now
He should invest $86.29 in the account now, which has a 7% interest compounded monthly.
Compound interest refers to the amount of interest added on the principal amount plus interest. The formula for compound interest is:
B = P(1 + r/n)^t
where B is the ending balance, P is the principal amount or original balance, r is the interest rate in decimal form, n = number of times interest is compounded monthly, and t is the time in number of months
Based on the given information, P is the unknown and
B = $5000
t = 5 years = 60 months
r = 7% = 0.07
n = 1
Plug in the values and solve for P or the amount that should be invested today.
B = P(1 + r/n)^t
$5000 = P(1 + 0.07/1)^60
$5000 = P(1.07)^60
P = $5000/(1.07)^60
P = $86.29
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PLZ HELP I DONT UNDERSTAND A password for a security system must consist of a eater followed by two digits. How many possible passwords are there?
Answer:
7020
Step-by-step explanation:
The letter could be any 1 of the 26 and it could be placed in any 1 of 3 places so this makes 26*3 = 78 possibilities.
For each of these there is any one of permutations of 2 digits from 10
= 10P2 = 10! / 8! = 10*9 = 90.
So the answer is 78 * 90 = 7020.
Note I am assuming that the 2 digits picked are different - no duplicates.
please mark me brainliest!
Evaluate the expression 3(5+2)(7-2) using order of operations.
Answer:
105
Step-by-step explanation:
Order of operations:
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
Given:
3(5+2)(7-2)
first the parenthesis
3(7)(5)
then multiply
=105
Hope this helps! :)
Rewrite in radical form
(-4)^{2/7} in radical form is 7√16
What are radicals?A radical expression is an expression containing a square root. Radicand - A number or expression inside the radical symbol.
In fractional Indices, when the power or exponent of a number is in fraction, the denominator is the root while the numerator is the power.
For example, 2^{2/3} is an example of expression with fractional exponents. Here 2 is the power and 3 is the root.
2² = 4
2^{2/3} = 3√4
Similarly the expression (-4)^{2/7}
(-4)² = 16
(-4)^{2/7} = 7√16
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Evaluate. Write your answer as a fraction or whole number without exponents. 2^-2
Answer: 1/2
Step-by-step explanation: turns into 1/2^2 = 1/4
Hello there!
2^-2
Apply the Negative Exponent Law (it states that if you have a number with a negative exponent, you flop it over)
What does it mean?
If we have 2^-2, the law states that we have to flop it over:
\(\frac{1}{2^{2} }\)
2^2 (2 times 2) is 4, so
\(\frac{1}{4}\)
Therefore, your answer is: \(\frac{1}{4}\)Hope this helps you!
~Just a felicitous girlie
#HaveASplendidDay
\(SilentNature\)
3.5 as a fraction(simplest form) WITH STEPS
A house is 50 feet long, 26 feet wide, and 100 inches tall. Find: a) The surface area of the house in m
2
All measures pass them to meters (area = length x width). b) The volume of the house in cubic inches. All measurements pass to inches (volume = length x width x height). c) The volume of the house in m
3
. All measurements pass to meters (volume = length × width x height) or (volume = area x height)
The surface area of the house is 74.322 m², the volume of the house in cubic inches is 18,720,000 cu in, and the volume of the house in m³ is 0.338 m³.
Given: Length of the house = 50 ft
Width of the house = 26 ft
Height of the house = 100 inches
a) To find the surface area of the house in m²
In order to calculate the surface area of the house, we need to convert feet to meters. To convert feet to meters, we will use the formula:
1 meter = 3.28084 feet
Surface area of the house = 2(lw + lh + wh)
Surface area of the house in meters = 2(lw + lh + wh) / 10.7639
Surface area of the house in meters = (2 x (50 x 26 + 50 x (100 / 12) + 26 x (100 / 12))) / 10.7639
Surface area of the house in meters = 74.322 m²
b) To calculate the volume of the house in cubic inches, we will convert feet to inches.
Volume of the house = lwh
Volume of the house in inches = lwh x 12³
Volume of the house in inches = 50 x 26 x 100 x 12³
Volume of the house in inches = 18,720,000
c) We can either use the value of volume of the house in cubic inches or we can use the value of surface area of the house in meters.
Volume of the house = lwh
Volume of the house in meters = lwh / (100 x 100 x 100)
Volume of the house in meters = (50 x 26 x 100) / (100 x 100 x 100)
Volume of the house in meters = 0.338 m³ or
Surface area of the house = lw + lh + wh
Surface area of the house = (50 x 26) + (50 x (100 / 12)) + (26 x (100 / 12))
Surface area of the house = 1816 sq ft
Area of the house in meters = 1816 / 10.7639
Area of the house in meters = 168.72 m²
Volume of the house in meters = Area of the house in meters x Height of the house in meters
Volume of the house in meters = 168.72 x (100 / 3.28084)
Volume of the house in meters = 515.86 m³
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boxplot if a person is making the minimum salary for a construction worker, they are making more than what percentage of teachers? they are making more than % of teachers.
A boxplot is a graphical representation of data distribution, and it can be used to compare the salary distributions of construction workers and teachers. To determine the percentage of teachers that a person making the minimum salary for a construction worker is making more than, we must first understand the data for both groups.
The minimum salary for a construction worker is a specific value, representing the lowest amount paid to workers in that profession. In contrast, teachers' salaries can vary based on various factors such as experience, education level, and location. Comparing these two distributions can provide insights into the relative earnings of these professions.
Using a boxplot, the minimum, first quartile, median, third quartile, and maximum values can be visually represented for each group. The comparison between the minimum salary for a construction worker and the distribution of teachers' salaries can be observed by looking at the overlap of these two boxplots.
If the minimum salary for a construction worker falls within the first quartile of teachers' salaries, it would mean that a person earning that salary is making more than 25% of teachers. If it falls within the second quartile (between the first and median), the person is making more than 50% of teachers. Similarly, if it falls within the third quartile, they would be making more than 75% of teachers.
To provide a precise percentage, the data for both groups needs to be analyzed and compared. However, without specific numbers, a definitive answer cannot be given. In summary, a boxplot can be used to visualize and compare the salary distributions of construction workers and teachers to determine what percentage of teachers a person making the minimum salary for a construction worker is earning more than.
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Help!!!! What are the unknown angles?
Answer:
1: 52 for x
2. 96 for x
3. 58 for x
4. 71 for both of the 2 angles, 71 each
Step-by-step explanation:
all triangles add up to 180*, easy to reverse the math
uwu
Which choice is equivalent to the expression below?
√-100
A. √10i
B. -10
C. 10i
D. -√10
E. i√10
Answer:
C
Step-by-step explanation:
We have the expression:
\(\sqrt{-100}\)
Rewriting this yields:
\(=\sqrt{-1\cdot100}=\sqrt{-1}\cdot\sqrt{100}=i\sqrt{100}=10i\)
Therefore, our answer is C.
Answer:
Step-by-step explanation:
What is your favorite marvel character?
OR
What is your favorite Percy Jackson character?
10 points!
Answer:
nico
Step-by-step explanation: