Answer:
1.6 cups of sugar
Step-by-step explanation:
0.4 cups of sugar for 1 batch of cookies
And to find out the amount of sugar we need
We multiply 0.4 for the amount of batches
In this case it will be
0.4 x 4= 1.6 cups of sugar
.....................................
Answer:
This should help you with the question Click the link down below or copy and paste it
https://softmath.com/algebra-word-problems/marsha-is-changing-her-phone-service-one-data-package
Step-by-step explanation:
The number of students that earn straight A's decreases by half
each year. Currently there are 20 students who have all A's. Write
an equation to represent this scenario.
Step-by-step explanation:
20 ÷ 2 = S
S represents the students that have straight A's the next year. You would simply divide the current number of students by 2 and it will give you half the student number you had before. And those are the students who still are getting straight A's.
Help please:):)
Create a table of data for two different linear functions. The table should use that same values of x for both functions. Based on your table, will the graph of these two functions intersect? Explain your answer
A table of data for two different linear functions using the same values of x for both functions is shown below:
x | y=2x+7 y=-x+4 -3 | 2(-3)+7=-6+7=1| -(-3)+4=3+4=7 -2 | 2(-2)+7=-4+7=3|-(-2)+4=2+4=6 -1 | 2(-1)+7=-2+7=5|-(-1)+4=1+4=5 0 | 2(0)+7=0+7=7 |-(0)+4=0+4=4 1 | 2(1)+7=2+7+9 |-(1)+4=-1+4=3 2 | 2(2)+7=4+7=11|-(2)+4=-2+4=2 3 | 2(3)+7=6+7=13|-(3)+4=-3+4=1 From the table, it can be seen that when x = -1, the function y = 2x + 7 has a value of 5 and the function y = -x + 4 has a value of 5. Therefore, the graph of the two functions will intersect at (1, 5)
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a ball of radius 13 has a round hole of radius 7 drilled through its center. find the volume of the resulting solid.
The volume of the resulting solid is 3,280.953 cm3.
The volume of the resulting solid is calculated by subtracting the volume of the inner sphere (the hole) from the volume of the outer sphere (the ball). The volume of a sphere is calculated by the formula V=4/3πr3. Therefore, the volume of the outer sphere is V1=4/3π(13)3=4,714.286 cm3. Similarly, the volume of the inner sphere is V2=4/3π(7)3=1,433.333 cm3. Subtracting V2 from V1 gives the volume of the resulting solid as V3=4,714.286 - 1,433.333=3,280.953 cm3. Therefore, the volume of the resulting solid is 3,280.953 cm3.
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hey i need 6 /14 but i only have 2 1/3 please help
18/42 and 2 and 14/42
Step-by-step explanation u need the 1/3 and ok im sry but i tried figuring it out but i d k
1/5 de los animales en el zoológico son monos 5/7 de los monos son machos
¿Qué fracción de los animales en el zoológico son monos machos?
1/7 of the animals in the zoo are male monkeys.
What fraction of the animals in the zoo are male monkeys? Explain with workings.
To find the fraction of animals in the zoo that are male monkeys, we have to calculate the product of the fractions representing the proportion of monkeys and the proportion of male monkeys among them.
Given that 1/5 of the animals in the zoo are monkeys, we will then represent this as:
= 1/5
= 5/25.
And 5/7 of the monkeys are male which is written as 5/7.
To get fraction of male monkeys, we will multiply these two fractions:
= (5/25) * (5/7)
= 25/175
= 1/7.
Full question:
1/5 of the animals in the zoo are monkeys 5/7 of the monkeys are male. What fraction of the animals in the zoo are male monkeys?
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This year (10 years after you first took out the loan), you check your loan balance. Only part of your payments have been going to pay down the loan; the rest has been going towards interest. You see that you still have $112,681 left to pay on your loan. Your house is now valued at $180,000.
Over the past 10 years, you have paid off $1,80,000 - $1,12,681 = $67,319 of the original loan.
This amount represents the reduction in the loan balance over the years. It is essential to consider that your monthly payments were not entirely directed towards the loan principal; a portion went towards paying interest charges. As a result, the loan balance was gradually reduced over time.
The interest on the loan accumulated each month, which affected the allocation of your payments. Initially, a significant portion of your payments likely went towards interest, with a smaller fraction reducing the principal balance. However, as time progressed, the interest portion decreased, and more of your payments started chipping away at the loan's principal.
It is crucial to recognize the impact of interest on loans, especially over extended periods. The difference between the current value of your house and the remaining loan balance illustrates the progress you have made in building equity over the years. As you continue making payments, the loan balance will further diminish, and your equity will continue to grow.
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What is the highest common factor of 39375 and 779625?
Answer:
To get the Greates Common Factor (GCF) of 39375 and 779625 we need to factor each value first and then we choose all the copies of factors and multiply them:
39375: 3 3 5 5 5 5 7
779625: 3 3 3 3 5 5 5 7 11
GCF: 3 3 5 5 5 7
The Greates Common Factor (GCF) is: 3 x 3 x 5 x 5 x 5 x 7 = 7875
Step-by-step explanation:
2. Tommy needs a loan in order to buy an RV. The bank offers
Tommy a 10,500 loan for 66 months loan at 4 5/8% annual
compound interest. Determine the amount of interest and total
Tommy will have to pay back.
Answer:
Step-by-step explanation:
Can a linear function have two x-intercepts?
Answer:
yes
Step-by-step explanation:
Given the graph of any function, an x-intercept is simply the point, or points where the graph crosses the x-axis. There might be just one such point, no such point, or many, meaning a function can have several x-intercepts.
criangle has sides 45, 4x and 2x – 4. What is the possible range of x?
Answer:
\(\frac{49}{6} <x<\frac{41}{2}\)
Step-by-step explanation:
The possible ranges of x are listed above. Hope this helps! :)
the hexagonal prism below has a height of 4 units and a volume of 98 units^3 . find the area of one of its bases.
The area of one of the bases of the hexagonal prism is approximately 7.39 units^2.
To solve this problem, we can use the formula for the volume of a hexagonal prism:
V = (3√3/2) * a^2 * h
where V is the volume, a is the length of one side of the hexagonal base, and h is the height of the prism.
We are given that the height of the prism is 4 units and the volume is 98 units^3. Plugging these values into the formula, we can solve for the length of one side of the base:
98 = (3√3/2) * a^2 * 4
a^2 = 98 / (12√3)
a ≈ 2.95
Now that we know the length of one side of the base, we can find the area of the hexagon by using the formula:
A = (3√3/2) * a^2
where A is the area of one of the bases. Plugging in the value we found for a, we get:
A = (3√3/2) * (2.95)^2
A ≈ 7.39
Therefore, the area of one of the bases of the hexagonal prism is approximately 7.39 units^2.
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PLEASE HELP
The graph shows two points from the table representing a proportional relationship.
A 2-column table with 3 rows. Column 1 is labeled Minutes (x) with entries 1, 2, 3. Column 2 is labeled Gallons (y) with entries 400, 800, 1200.
Which point corresponds to the last entry in the table?
Answer: it equals A
Step-by-step explanation:
Solve the word problem below. Enter your answer, using the slash (/) as the
fraction bar.
Students were asked to choose their favorite season and 3/10 chose either spring or summer. If 1/10 chose spring, what fraction chose summer? (Please show a solution)
When asked which season they preferred, just 3/10 of the students selected either spring or summer. 2/5 fraction went with summer if 1/10 chose spring.
Given that,
When asked which season they preferred, just 3/10 of the students selected either spring or summer.
We have to find what fraction went with summer if 1/10 chose spring.
To find the fraction we have to add the students selected in spring or summer.
3/10+1/10
Denominator are equal numerator can add
(3+1)/10
By adding
4/10
By doing the division
2/5
Therefore, the fraction is 2/5.
2/5 fraction went with summer if 1/10 chose spring.
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the file utility contains the following data about the cost of electricity during july of a recent year for a random sample of 50 one- bedroom apartments in a large city: 96 171 202 178 147 102 153 197 127 82 157 185 90 116 172 111 148 213 130 165 141 149 206 175 123 128 144 168 109 167 95 163 150 154 130 143 187 166 139 149 108 119 183 151 114 135 191 137 129 158 a. construct a histogram and a percentage polygon. b. construct a cumulative percentage polygon. c. around what amount does the monthly electricity cost seem to be concentrated?
a) The histogram for the data is illustrated below.
b) The cumulative percentage polygon is define in the histogram
c) The amount does the monthly electricity cost seem to be concentrated is 128 - 152
A histogram is a graphical representation of a frequency distribution. It consists of a set of bars that represent the frequency of data within certain intervals, also known as bins. The height of each bar represents the frequency or count of data points that fall within that bin.
To create a histogram for the electricity cost data, we need to first decide on the number and size of the bins. One common rule is to choose the number of bins as the square root of the sample size. In this case, we have 50 data points, so we can choose about 7 bins. The size of the bins can be determined by dividing the range of the data by the number of bins.
Once we have determined the number and size of the bins, we can create the histogram by drawing a set of bars with heights proportional to the number of data points that fall within each bin. The histogram can be further enhanced by adding labels for the x and y-axes, a title, and a legend.
As per the histogram, the amount does the monthly electricity cost seem to be concentrated is 128-152
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Order numbers from least to greatest 2.8, -2 3/4, 3 1/8, -2.2
Answer:
-2.2, -2, 1/8, 3/4, 2.8, 3
Step-by-step explanation:
Answer:
-2 3/4, -2 2/5, 2.8, 3 1/8
Step-by-step explanation:
Strategy 1:
What you want to do in this question is convert everything into one unit. So either decimals, or fractions. I find it easier to do this with decimals so here is my steps to solving this.
Since -2 3/4, and 3 1/8 are already fractions we don't need to convert them.
Let's do 2.8 first.
0.8 as a fraction is 8/10, or 80/100 because one way to thing about it is 0.8 is just 0.8/1.0 and if you multiply top and bottom by ten, then you can get 0.8 = 8/10. lets simplify a bit more. 8/10 if you divide by 2 on top and bottom you get 4/5. So 2.8 = 2 4/5
We can do the same thing with -2.2.
All we have to do is do 0.2/1.0 times 10 on top and bottom and we get 2/10. Now we simplify. We can divide top and bottom by 2 without a remainder so if we do that we get 1/5 in simplified form. So -2.2 = -2 1/5
now 4/5, 1/5, 3/4 and 1/8 don't have the same base, so by using LCM (Least Common Multiple) we can figure out that the least common multiple between all of them is 40. All we have to do now is multiply top and bottom in a way that gets us 40 on both bases. (For 4/5 and 2/5 you have to multiply top and bottom by 8 to get 40 and for 3/4 you have to multiply top and bottom by 10 and for 1/8 you have to multiply the top and bottom to get 40.) Once we multiply it all out we get:
2 32/40, -2 30/40, 3 5/40, -2 8/40.
Now if you compare the negatives and the positives greatest to least you get:
Negatives: -2 8/40, -2 30/40
Positives: 2 32/40, 3 5/40
And if you put them together
-2 8/40, -2 30/40, 2 32/40, 3 5/40
Strategy 2:
If you're confident just estimate lol (When your'e at a higher level.)
Disclaimer: Doesn't work for all problems just the easy ones
what type of parameter requires that the argument used to call the method must have an assigned value?
A "required parameter" requires an assigned value for the argument used to call the method, while "optional parameters" do not need to be included in the method call and have a default value assigned to them.
The type of parameter that requires that the argument used to call the method must have an assigned value is a "required parameter".
Required parameters are parameters that must be included in the method call, and the argument passed for the required parameter must have a value assigned to it. If a required parameter is not included in the method call, or if the argument passed for the required parameter does not have a value assigned to it, an error will be thrown.
In contrast, there are also optional parameters, which are parameters that do not need to be included in the method call. If an optional parameter is not included in the method call, the method will use a default value assigned to the parameter.
In many programming languages, the syntax for specifying required and optional parameters in a method or function call is specified using different symbols, such as parentheses or square brackets.
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rofit stefon charges people $25 to test the air quality in their homes. the device he uses to test air quality cost him $500. the function y
The function to determine the gross cost he earns to test the air quality in their homes can be given by Y=500+25X.
What is a function?
An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable (the dependent variable). In mathematics and the sciences, functions are fundamental for constructing physical relationships.A function consists of three components: a collection of inputs, a collection of outputs, and a constraint that links the components of the input set to the members of the output set so that each entry is paired with exactly one output.The function to determine the gross cost he earns to test the air quality in their homes can be given by,
Y=500+25X
where X is the no. of homes he tested and y is the gross cost.
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Classify angle D in the figure as right, straight, acute, or obtuse.
Choose the correct classification for angle D.
A. Right
B. Straight
C.Acute
D.Obtuse
Answer:
C.
Step-by-step explanation:
The angle D. is acute
Define the domain of the following:
{-2, -1, 0, 2, 5}
{-2, -1, 0, 1, 2, 3, 4, 5}
All Real Numbers
{3, -1, 3, 1, 2}
The domain of the relation in the graph is:
{-2, -1, 0, 2, 5}
How to define the domain for the graph?A relation maps elements from one set (the domain) into elements from another set (the range).
Such that the domain is represented in the horizontal axis.
In the graph, we can see the points:
{(-2, -3), (-1, -1), (0, 3), (2, 1), (5, 2)}
The domain is the set of the first values of these points, then the domain is:
{-2, -1, 0, 2, 5}
The correct option is the first one.
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The most powerful volcanic eruption on earth in the last 10,000 years was approximately VEI 7.3 (Mt. Rinjani in Indonesia). The most powerful volcanic eruption in the last 100 years was the 1991 eruption of Mt. Pinatubo in the Philippines (I remember it very well). It was rated a 6.0. How much larger was the Mt. Rinjani eruption than the Mt. Pinatubo eruption?
This means that the Mt. Rinjani eruption was approximately 20 times larger and more powerful than the Mt. Pinatubo eruption.
What is exponent?An exponent is a mathematical operation that involves raising a base number to a certain power. The exponent tells how many times the base number should be multiplied by itself. For example, in the expression 2³, 2 is the base number and 3 is the exponent, and it means that 2 should be multiplied by itself three times: 2 x 2 x 2 = 8. Exponents are commonly used in algebra, calculus, and other branches of mathematics.
Here,
The Volcanic Explosivity Index (VEI) is a logarithmic scale used to measure the relative size and power of volcanic eruptions. Each increase of 1 on the VEI scale represents a tenfold increase in the eruption's size and power.
The difference in VEI between the Mt. Rinjani eruption and the Mt. Pinatubo eruption is 7.3 - 6.0 = 1.3.
To calculate the difference in size and power, we need to raise 10 to the power of 1.3:
10¹.³ = 19.95
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Using a protractor and a ruler, accurately construct a triangle ABC where AB = AC = 8 cm and CAB = 90°. Measure the length of BC.
BC ≅ 11cm
Step-by-step explanation:To accomplish this task, follow these steps:
i. Using your ruler, draw a line AB with length 8cm as shown in Figure 1. This will give AB = 8cm
ii. Remove the ruler and place your protractor at the point A and parallel to line AB as shown in Figure 2. Make a dot at the mark 90° of the protractor (See Figure 2). For accuracy, ensure that the 180° mark of the protractor is on the line AB.
iii. From point A through the dot in (ii) above, use a ruler to draw a line AC of length 8cm as shown in Figure 3. This will give AC = 8cm and will also give angle CAB = 90°
iv. Now join points C and B by drawing a line from point A to C using a ruler as shown in Figure 4.
v. Lastly, measure the length of BC by placing your ruler on line BC as shown in Figure 5. This should give a value of about 11cm.
Therefore the length of BC = 11cm approximately.
NB: All figures are attached to this response.
Make a function table for y=-3x+3
Bob owns a watch repair shop. He has foundthat the cost of operating his shop is given byc=2x2-192x+54, where c is cost and x is thenumber of watches repaired. How manywatches must he repair to have the lowestcost?
The solution for the quadratic equation, c(x) = \(2x^{2} -192x+54\) is +48.
Bob must repair 48 watches to have the lowest cost.
What is axis of symmetry?
The axis of symmetry formula uses the standard form of the quadratic equation as well as the vertex form.
We have, c(x) = \(2x^{2} -192x+54\)
As we know the axis of symmetry, using the formula:
x = \(\frac{-b}{2a}\)
In the above equation a = 2; b = -192
x = \(\frac{-(-192)}{2 * 2}\)
x= \(\frac{192}{4}\)
x = +48
Hence, the number of watches for lowest cost bob must sold is 48 watches.
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URGENT!!! NEED ASAP!!! TIMED TEST!!!
Given: x + 2 < -5.
Choose the solution set.
{x | x ∈ R, x < -3}
{x | x ∈ R, x < 3}
{x | x ∈ R, x < -7}
{x | x ∈ R, x < 7}
(Please answer as soon as you can!!)
Answer:
ok the answer is 10
Step-by-step explanation:
Just put 10 lol
find the absolute extrema of the function on the closed interval. f(x) = x3 − 3 2 x2, [−1, 4]
To find the absolute extrema of a function f(x) on a closed interval [a, b], we need to check the critical points and the endpoints of the interval. Critical points are points in the domain of the function where f '(x) = 0 or f '(x) does not exist. Endpoints are the endpoints of the interval [a, b].Now, let's find the absolute extrema of the function f(x) = x³ - 3/2x² on the closed interval [-1, 4].f(x) = x³ - 3/2x²f '(x) = 3x² - 3x = 3x(x - 1).
So, critical points are x = 0 and x = 1.f(-1) = (-1)³ - 3/2(-1)² = -1/2f(0) = (0)³ - 3/2(0)² = 0f(1) = (1)³ - 3/2(1)² = -1/2f(4) = (4)³ - 3/2(4)² = 16The function has two critical points x = 0 and x = 1 and two endpoints -1 and 4 on the closed interval. Now, we need to compare the function value at each of these four points to find the absolute extrema.The absolute maximum value of the function is f(4) = 16 at x = 4.The absolute minimum value of the function is f(1) = -1/2 at x = 1.Thus, the absolute maximum value of the function on the closed interval [-1, 4] is 16 and the absolute minimum value of the function on the closed interval [-1, 4] is -1/2.
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please help me ( show ur work it’s multiple choice ):)
Factor 30-24x
6(15-12x)
6(5x-4x)
x(5-4x)
6(5 - 4x)
Answer:
the second option
Step-by-step explanation:
pretty sure it's the second option
hope this helped ;)
Answer:
6 (5 - 4x)Step-by-step explanation:
\(\sf 30-24x\)
30 → 6 * 5
24 → 6 * 4
\(\sf 6* \:5-6* \:4x\)
\(\sf 6\left(5-4x\right)\)
how secure is your job? in a survey, employed adults were asked how likely they thought it was that they would lose their jobs within the next year. the results are presented in the following frequency distribution. response frequency very likely fairly likely not too likely not likely part: 0 / 20 of 2 parts complete part 1 of 2 construct a relative frequency distribution. round the answers to two decimal places.
If "employed-adults" were asked how likely they thought that they will lose their jobs, then percent of adults that are "fairly-likely" to lose jobs is 6.23%.
To find the percent of adults that are fairly-likely to lose their jobs, we first add the total number of adults who responded to survey;
⇒ Total number of adults = 626 + 902 + 3745 + 9212 = 14,485
Next, we determine number of adults who responded "Fairly Likely";
⇒ Number of adults who responded "Fairly Likely" = 902,
To find the percentage, we use formula;
⇒ Percentage = (Number of adults responded "Fairly Likely"/Total number of adults) × 100,
Substituting the values,
We get,
⇒ Percentage = (902/14485) × 100 = 6.23%,
Therefore, 6.23% of employed adults in the survey are fairly likely to lose their jobs within next-year.
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The given question is incomplete, the complete question is
In a survey, employed adults were asked how likely they thought it was that they would lose their jobs within the next year. the results are :
Response Frequency
Very Likely 626
Fairly Likely 902
Not too Likely 3745
Not Likely 9212
Find the percent of adults that are fairly likely to lose their jobs.
The number of messages that arrive at a Web site is a Poisson distributed random variable with a mean of 5 messages per hour. Round your answers to four decimal places.(a) What is the probability that 5 messages are received in 1 hour?(b) What is the probability that 10 messages are received in 1.5 hours?(c) What is the probability that less than 2 messages are received in 1/2 hour?
The probability that 5 messages are received in 1 hour is is 0.1755 ,the probability that 10 messages are received in 1.5 hours is 0.0858 and the probability that less than 2 messages are received in 1/2 hour is 0.2873
Let X shows the number of messages received per hour. The pdf of X is
\(P(X=x)=\) \(\frac{e^{-5}\cdot 5^{x}}{x!},x=0,1,2,3,....\)
Therefore, the probability that 5 messages are received in a single hour is
\(P(X=5)=\frac{e^{-5}\cdot 5^{5}}{5!}=0.1755\)
(b) Number of message received in 1 hour is 5 so number of message received in 1.5 hour is 7.5. So the probability that 10 messages are received in 1.5 hours is
\(P(X=10)=\frac{e^{-7.5}\cdot 7.5^{10}}{10!}=0.0858\)
(c) Number of message received in 1 hour is 5 so number of message received in 1/2 hour is 2.5. So the probability that less than 2 messages are received in 1/2 hour is
\(P(X < 2)=\frac{e^{-2.5}\cdot 2.5^{0}}{0!}+\frac{e^{-2.5}\cdot 2.5^{1}}{1!}=0.2873\)
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