Answers
1) a=1/7
3) k=7/2
5)t=-1
7) 4/3
Related Questions
Find the approximate area of the shaded region of the figure below.A. 489.44 cm squaredB. 181.72 cm squared C. 27.86 cm squaredD. 49.07 cm squared
Answers
To answer this question, we need to find the area of the rectangle with sides 14 cm and 9 cm, and, then, we need to subtract from this area, the area of the semicircle with radius = 7 cm (that is, 14 cm /2 = 7 cm).
Therefore, we have:
1. Find the area of the rectangle:
\(A=14\operatorname{cm}\cdot9\operatorname{cm}=126\operatorname{cm}^2\)2. Find the area of the semicircle:
The area of a circle is given by:
\(A=\pi\cdot r^2\)Therefore, for a semicircle, we have:
\(a=\frac{\pi\cdot r^2}{2}\Rightarrow a=\frac{\pi\cdot7^2}{2}\Rightarrow a=76.9690200129\operatorname{cm}^2\)Then, we need to subtract this value from the obtained in calculating the area of the rectangle:
\(126\operatorname{cm}-76.96902\operatorname{cm}=49.03098\operatorname{cm}^2\)From the question, the answer is option D, 49.07 cm squared.
Job No Job Total car 38 22 60 No Car 16 18 Total 54 40 94 What percentage of the students in the survey have a car? A 22% O B. 38% O c. 40% OD 60% E. 64%
Answers
Antonio, as you can see in the table, the number of students that have a car is 60 and the total of students that were surveyed is 94.
How can you calculate the percentage then?:
Percentage = 60/94 * 100
And that is the answer.
Which inequality is represented by this graph?
A) 0>x
B) x>0
C) 0 ≥ x
D) x ≥ 0
PLS ANSWER FAST!!!
Answers
Answer:
B
Step-by-step explanation:
You see that the arrow is pointing up the scale, therefore we know that x is not less than 0
we also see that the dot on the 0 is not filled in therefore we know that x is not equal to 0.
A store sells oranges and apples. Oranges cost $1.00 each and apples cost $2.00 each. In the first sale of the day, 15 fruits were sold in total, and the price was $25. How many of each type of frust was sold?
Answers
A store sells 5 oranges and 10 apples.
What is the cost amount?
The cost of an asset to you often serves as its basis. The cost is the sum that you pay for it using money, debt, other goods, or services. Sales tax and other purchase-related costs are included in the price.
Here, we have
Given: A store sells oranges and apples. Oranges cost $1.00 each and apples cost $2.00 each. In the first sale of the day, 15 fruits were sold in total, and the price was $25.
We have to determine how many of each type of fruit were sold.
We, let the oranges be x.
let the apples be y.
x + y = 15...(1)
1x + 2y = 25...(2)
We subtract equation(2) from equation(1), we get
y = 10
Now we put the value of y in equation (1) and we get
x + 10 = 15
x= 5
Hence, a store sells 5 oranges and 10 apples.
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What is the slope of a line parallel to the y-axis?
Answers
Answer:
The slope of a line parallel to Y-axis is zero.
Which of the following is false about the central limit theorem (CLT)? O If we take more samples from the original population, the sampling distribution is more likely to be nearly normal. O If the population distribution is normal, the sampling distribution of the mean will also be nearly normal, regardless of the sample size. O As the sample size increases, the sampling distribution of the mean is more likely to be nearly normal, regardless of the shape of the original population distribution. O The CLT states that the sampling distribution will be centered at the true population parameter.
Answers
Only the first statement is false. The rest are true statements about the Central Limit Theorem.
The Central Limit Theorem (CLT) is a fundamental theorem in probability and statistics which states that, given a sufficiently large sample size from a population with a given mean and standard deviation, the sampling distribution of the mean will be nearly normal, regardless of the shape of the original population distribution.
It is important to note that the first statement presented is false. Taking more samples from the population will not necessarily result in a more normal sampling distribution. The CLT does not guarantee that the sampling distribution will be normally distributed, only that it is more likely to be so as the sample size increases.
The second statement is true. If the population distribution is normal, the sampling distribution of the mean will also be nearly normal, regardless of the sample size. The third statement is also true. As the sample size increases, the sampling distribution of the mean is more likely to be nearly normal, regardless of the shape of the original population distribution.
Finally, the fourth statement is also true. The CLT states that the sampling distribution will be centered at the true population parameter. This means that the mean of the sampling distribution will be equal to the mean of the population.
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Help please due today.
Which expression shows the length, BC, of the base of the stand?
A. 7 over tan 55 degrees
B. 7(cos 55 degrees)
C. 7 over sin 55 degrees
D. 7(tan 55 degrees)
Answers
Answer:
A) \(\frac{7}{tan55^\circ}\)
Step-by-step explanation:
\(tan\theta=\frac{opposite}{adjacent}\\ \\tan55^\circ=\frac{7}{BC}\\ \\BC*tan55^\circ=7\\\\BC=\frac{7}{tan55^\circ}\)
Write an algebraic expression that Marshall can use to determine the total cost of buying a watermelon that weigh w pounds and some tomatoes that weigh t pounds. How much will it cost to buy a watermelon that weighs 18.5 pounds and 5 pounds of tomatoes? Tomatoes are $3.25 / lb and Watermelon is $0.68 / lb
Answers
The algebraic expression which represents the total cost of buying watermelons and tomatoes as described is; C = 0.68w + 3.25t.
The cost of buying a watermelon that weighs 18.5 pounds and 5 pounds of tomatoes is; $28.83.
What is the cost of buying watermelons and tomatoes?It follows from the task content that the cost of buying Tomatoes are $3.25 / lb and Watermelon is $0.68 / lb.
Hence, the algebraic expression which represents the cost of buying a watermelon that weighs, w pounds and tomatoes that weigh t pounds is;
C = 0.68w + 3.25t.
Hence, if the watermelon bought weighs 18.5 pounds and tomatoes weigh 5 pounds,
C = 0.68 (18.5) + 3.25 (5)
C = 12.58 + 16.25
C = $28.83.
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ZA =
Round your answer to the nearest hundredth.
Answers
Angle A equals 41.81°
c:
Tyson uploaded 500 videos to the Internet. Sarita uploaded fewer videos than Tyson.
Write an inequality that compares the number of videos Sarita uploaded, u, to the number of videos Tyson uploaded.
Answers
Answer:
0 ≤ x < 500
Step-by-step explanation:
Sarita could upload 0 videos, but she can't upload a negative number of videos. Also, she has to upload less videos than Tyson.
An inequality that compares the number of videos Sarita uploaded, u, to the number of videos Tyson uploaded is u < 500.
What is inequality?A connection between two expressions or values that is not equal to each other is referred to as "inequality" in mathematics. The inequality can be resolved by adding the same amount to each side, subtracting the same amount from each side, multiplying or dividing each side by the same positive integer, and more. If you multiply or divide either side by a negative value, you must flip the inequality sign.
Given:
Tyson published 500 videos online.
Compared to Tyson, Sarita uploaded fewer videos.
Since Sarita uploaded fewer videos than Tyson,
the number of videos Sarita uploaded, u, is less than 500.
Therefore, we can write the inequality as:
u < 500.
Therefore, the inequality is u < 500.
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Which car gets home first? Type exactly like this but with blanks filled in. Car __ gets home first. It gets home in __ hours. It takes car __ longer to get home.
Answers
Answer:Car A gets home first. It gets home in 10 hours. It takes car B longer to get home.
Step-by-step explanation:
miranda is riding her bicycle she goes from 5m/s to 20m/s over a period of 30 seconds at. what rate what is her acceleration
Answers
Step-by-step explanation:
Acceleration= (final velocity - initial velocity)/ time
= v-u/t
v = 20m/s
u = 5m/s
t= 30s
= 20-5/30
= 15/30
= 0.5ms^-2
What are the two possible measures of the angle below
Answers
Answer:
Option 1
Step-by-step explanation:
The angle is a right angle, and Option 1 is the only option with two angles coterminal to positive or negative 90°.
A manufacturer knows that their items have a normally distributed length, with a mean of 16.2 inches, and standard deviation of 0.9 inches. If one item is chosen at random, what is the probability that it is less than 16.4 inches long
Answers
Answer:
57.926%
Step-by-step explanation:
Calculation for the probability that it is less than
16.4 inches long
Using this formula
z = (X - μ) / σ
Where,
X represent Date=16.4
μ represent Mean=16.2
σ represent Standard deviation=0.9 inches
Let plug in the formula
z = (16.4 - 16.2) /0.9 inches
z=0.2/0.9 inches
z = 0.2
Using Z-score table to find the area of 0.2
z=0.57926*100
z=57.926%
Therefore the probability that it is less than
16.4 inches long is 57.926%
Find the value of x in x + y = 9 and x - y = 3.
Answers
Explanation
We are given the following equations:
\(\begin{gathered} x+y=9\text{ \lparen equation 1\rparen} \\ x-y=3\text{ \lparen equation 2\rparen} \end{gathered}\)We are required to determine the value of x.
We can achieve this by using the elimination method as follows:
\(\begin{gathered} Equation\text{ 1 + Equation 2} \\ x+x+y+(-y)=9+3 \\ 2x+0=12 \\ 2x=12 \\ \frac{2x}{2}=\frac{12}{2} \\ x=6 \end{gathered}\)Hence, the value of x is:
\(x=6\)Find the rate of change of the height from age 8 to 16 and from age 60 to 80. Express both answers in units of cm per year, to two significant figures. Separate your answers with a comma.
Answers
Complete Question
The complete question is shown on the first and second uploaded image
Answer:
a
\(z = 6.25 \ cm/yr\)
b
\(k = -0.25 \ cm /yr\)
Step-by-step explanation:
From the first image the rate of rate of change of the height from age 8 to 16
is mathematically evaluated from the graph as
\(z = \frac{175 - 125}{16-8}\)
\(z = 6.25 \ cm/yr\)
From the first image the rate of rate of change of the height from age 60 to 80.
is mathematically evaluated from the graph as
\(k = \frac{175 - 170}{60-80}\)
\(k = -0.25 \ cm /yr\)
Which answer choice best represents 3/15?
Select the Hint button to view a hint. You will get 14 points.
A: 5/6 5
B: 5/1 5
C: 6/1 5
D: 6/6 5
Answers
The equivalent fraction for the given fraction is 1/5.
What is an equivalent fraction?Equivalent fractions are two or more fractions that are all equal even though they different numerators and denominators.
The given fraction is 3/15.
The equivalent fraction is 3/15 =1/5
Therefore, the equivalent fraction for the given fraction is 1/5.
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Use the function g(x)=11 to find the following values g(-3), g(5), g(a), g(a+h)
Answers
The evaluated function values are g(-3) = 11, g(5) = 11, g(a) = 11 and g(a+h) = 11
Evaluating the function valuesA composite function is a function that results from combining two or more functions. It is created by using the output of one function as the input of another function.
The function g(x) is defined as g(x) = 11, which means that the output of the function is always 11, no matter what value of x is inputted.
i.e. the function g(x) = 11 always returns the value 11, regardless of the input.
Therefore, we have:
g(-3) = 11
g(5) = 11
g(a) = 11
g(a+h) = 11
So, regardless of the value of a or h, the function g(x) will always return 11.
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Type an equation of a standard parabola that is shifted right 3 units. Helppp asap
Answers
Answer:
y=(x+5)2 hope this helped!!! :D
Step-by-step explanation:
Find the smallest natural number that is a multiple of 45 and where all of its digits are zeros and ones.
Answers
Answer:
1111111110
Step-by-step explanation:
45 is 9, and 5.
9 divisibility rule: Digits have to add up to 9.
We know this has to be 1's and 0's.
So there has to be 9 1's.
111111111.
5 divisibility rule: Last digit has to be 0 or 5.
1111111110 will be our final answer.
Wait- let's check if it's divisible. Using a calculator, this determines it does work.
Enjoy.
What is (a x b) x c if a = 2, b = 8, and c = 12?
Answers
Answer:
192
Explanation:
Given the below expression;
\((a\ast b)\ast c\)Let's go ahead and evaluate when a = 2, b = 8, and c = 12;
\((2\ast8)\ast12=16\ast12=192\)find the list number which is a perfect square and exactly divisible by 10,12and 15
Answers
Answer:
The smallest perfect square that is exactly divisible by 10, 12, and 15 is 900.
Step-by-step explanation:
The explanation is:
A perfect square is a number that is the product of two equal integers. For example, 25 is a perfect square because it is 5 times 5.
A number that is exactly divisible by 10, 12, and 15 must have all the prime factors of these numbers in its prime factorization. The prime factors of 10 are 2 and 5, the prime factors of 12 are 2 and 3, and the prime factors of 15 are 3 and 5. Therefore, the number must have at least two 2s, one 3, and one 5 in its prime factorization.
To make the number a perfect square, each prime factor must appear an even number of times. Therefore, we need to add another 2, another 3, and another 5 to the prime factorization. The number becomes 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5, which is equal to 900.
We can check that 900 is a perfect square by finding its square root. The square root of 900 is 30, which is an integer. We can also check that it is exactly divisible by 10, 12, and 15 by dividing it by these numbers. The quotients are all integers: 90, 75, and 60 respectively.
BOOMER GENERATION: At 84%, Boomers are the highest amongst all the generations that want to shop in-store. In a sample size of 75 people in the Boomer Generation, estimate how many of them prefer to shop in-store.
Answers
In a sample size of 75 people in the Boomer Generation, proportionately, the estimated number of people who prefer to shop in-store is 63.
What is proportion?Proportion shows the relative number of objects or people in the whole.
Proportions are ratios equated to each other.
They are expressed as fractional values, in decimals, percentages, and fractions.
The percentage of Boomers who want to shop in-store = 84%
The sample size of the Boomer Generation = 75
The estimated number of Boomers in the sample size who want to shop in-store = 63 (75 x 84%)
Thus, 63 Boomers representing 84 percent of 75 want to shop in-store.
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Write the explicit formula for the arithmetic sequence below. 14, 9, 4, -1, ...
Answers
Step-by-step explanation:
To find the next term or number, we'll need to keep subtracting 5. So the formula is: n-5
find the area of a parallelogram wich bace 12 cm and altitude 1.5 cm
Answers
Area of Parallelogram=base ×height
=12×1.5
18cm
A school is arranging a field trip to the zoo. The school spends 778.88 dollars on passes for 28 students and 4 teachers. The school also spends 241.64 dollars on lunch for just the students. How much money was spent on a pass and lunch for each student?
Answers
The total money spent on a pass and lunch for each student is $850.14.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division.
here,
As mentioned in the question, Passes for 28 pupils and 4 teachers cost the school $778.88 and the school also spends $241.64 on lunch for kids only.
Total number of person = 28 + 4
= 32
Cost per pass = 778.88 / 32
= $24.34
Total passes of students = 25 × 24.34 = 608.5
Total spend on lunch of student = 241.64
Total spend on lunch = 241.64 + 608.5 = $850.14
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Fill in the table.
Give four consecutive odd integers:
First Integer
X
The simplified sum of the second and forth integers are
Next Integers
Answers
The simplified sum of the second and forth integers are; -1 + 5 = 4
How to find the integer?An integer is defined as a whole number that can be positive, negative, or zero. Examples of integers are: -7, 2, 9, 18, 125, and 9803
Now, we are given the consecutive integer sequence as;
x, 1, 3, 5
Now, since the integers are consecutive, then the common difference is the same. Thus;
1 - x = 3 - 1
1 - x = 2
x = 1 - 2
x = -1
Sum of first and fourth term = -1 + 5 = 4
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A type of wood has a density of 250 kg/m3. How many kilograms is 75,000 cm3 of the wood? Give your answer as a decimal.
Answers
V=75000cm3=0,075m3
Kg=?
D=m*v
m=d/v
m=250/0.075=3333,33kg
When finding the area of a parallelogram, you should:
Answers
0 is an angle in a right-angled triangle. tan 0 = 23/52 What is the value of 0? Give your answer in degrees to 1 d.p.
Answers
The value of the angle θ is approximately 24.2 degrees to 1 decimal place.
In a right-angled triangle, the tangent of an angle is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle. Given that tan θ = 23/52, we can find the value of the angle θ.
To find the value of θ, we can use the inverse tangent or arctan function. Taking the inverse tangent of both sides of the equation, we have:
θ = arctan(23/52)
Using a calculator or trigonometric tables, we can evaluate the inverse tangent of 23/52. The result is approximately 24.2 degrees.
Note that in the context of a right-angled triangle, the tangent function is defined for acute angles (less than 90 degrees). Since 0 degrees is the smallest possible angle, it is considered an acute angle in this case.
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