Answer:
91 3/8
Step-by-step explanation:
10 3/4 times 8 1/2
Turn them into improper fractions.
43/4 times 17/2 equals 731/8
Now reduce
731/8= 91 3/8
i got 0" not sure tho
PLEASE HELP!!! Find the distance between the following two points: (3,7) and (5,0). Round to the nearest TENTH.
Step-by-step explanation:
7.3 when rounded to the nearest tenth
Evaluate: 2^-4 =
a 1/8
b -8
c -16
d 1/16
Answer:
d. 1/16
why does the answer neeeds to be 20 characters long?!
Translate 2 3 y − 9 < y + 1 into a sentence. Nine than two-thirds of number is less than the number .
The sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."
To translate the inequality expression "2/3y - 9 < y + 1" into a sentence, we can break it down into smaller parts:
"2/3y" represents two-thirds of a number.
"9" represents the number nine.
"y + 1" represents the number increased by one.
Now let's construct the sentence:
"Nine less than two-thirds of a number" - This refers to the expression "2/3y - 9," indicating that we have subtracted nine from two-thirds of a number.
"is less than" - This is the comparison symbol in the inequality.
"the number" - This refers to the expression "y + 1," representing the number increased by one.
Combining these parts, we form the sentence: "Nine less than two-thirds of a number is less than the number."
Hence, the correct sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."
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The equation of a circle is:
(x-2)^2 + (y+4)^2 = 25
Part A:
Determine the center and the radius of the circle.
...is this correct?
The requried center and radius of the given circle are (2, -4) and 5.
The standard equation of a circle is given as,
(x - h)² + (y - k)² = r²
Where, (h, k) is the center of the circles and r is the radius of the circle,
The equation of the given circle is,
(x - 2)² + (y + 4)² = 25
Comparing the above equation with the standard equation we have,
(h, k) = (2, -4)
r² = 5²; r =5
Thus, the requried center and radius of the given circle is (2, -4) and 5.
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Composition of the functions is
commutative.
Answer:
The rule a+b=b+a, for all real numbers a,b, is the commutative law for addition. The fact that we can have g∘h≠h∘g, for some functions g,h, says that composition of functions is not commutative. Composition of functions is not the same as multiplication of functions: f=h∘gmeansf(x)=h(g(x))j=h⋅gmeansj(x)=h(x)g(x).
Pls I don’t know what to do
Answer:
\({ \bf{area = \pi {r}^{2} }} \\ { \tt{ = 3.14 \times {( {8.1}) }^{2} }} \\ = { \tt{206.1 \: {cm}^{2} }}\)
Nelly buy 17 and 1/7 pounds of oranges for $45 from the supermarket how much does 1 pound of oranges cost
2.62 pls give a heart for me please.
A bag contains 5 red apples and 4 yellow apples. 5 apples are selected at random. Find the probability of selecting 1 red apple and 4 yellow
apples.
the probability of selecting 1 red apple and 4 yellow apples is 0.04.
We are given that:
A bag contains:
5 red apples and 4 yellow apples
Now, 5 apples are selected at random.
We need to find the probability of selecting one red and 4 yellow apples.
So, it will be:
Probability (P) = ⁵C₁ × ⁴C₄ / ⁹C₅
P = (5! / 1! 4! × 4! / 0! 4!) / 9! / 5! 4!
P = 5 / 126
P = 0.04
Therefore, the probability of selecting 1 red apple and 4 yellow apples is 0.04.
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Six students write an exam. The average score obtained on the exam by the group of students is 71%. If the first two students each obtained a mark of 73%, while the next three students each obtained a mark of 68%, what was the mark obtained by the sixth student?
I need someone to explain this step by step. I have a test very soon.
9514 1404 393
Answer:
D. Infinitely many solutions
Step-by-step explanation:
To compare two linear equations, it is handy to have them in the same for. It doesn't really matter what that form is. You generally want to reduce the equations as far as possible by removing any common factors from the coefficients.
Here, we can put both equations into standard form: ax +by = c.
First equation:
y = -3x +5 . . . . given
3x +y = 5 . . . . add 3x
Second equation:
6x +2y = 10 . . . . given
3x + y = 5 . . . . divide by 2
These two equations are now identical. That means they describe the same line, so any (x, y) pair that satisfies one of these equation will also satisfy the other one (obviously). That means there are an infinite number of points these lines have in common, an infinite number of solutions.
__
More about number of solutions
Above is one of the possibilities.
Another possibility is that the left side looks the same, but the right side is different. For example, ...
3x +y = 5
3x +y = 4
The ratios of the coefficients of x and y are the same (a:b = 3:1). That means these lines have the same slope and they are the equations of parallel lines. They do not intersect, so this set of equations will have no solutions.
Another suitable form for comparing the slopes is slope-intercept form. The above two equations in that form would be ...
y = mx + b
y = -3x +5
y = -3x +4 . . . . . . same slope, different y-intercept
__
If the equations are different (except as just noted), there is one solution. Lines with different slopes must cross somewhere. They will cross exactly once.
Which number(s) have a 5 that is 10 times the value of the 13,725 in ?
Answer:
I will give you three, but the answer is the number that has a 50
Step-by-step explanation:
52
654
7657
50 is the numbers that have a 5 in 10 times the value of the 13,725.
What is place value?Place value is the value of each digit in a number.
For example, the 5 in 350 represents 5 tens, or 50; however the 5 in 5006 represents 5 thousands, or 5000.
Now the given number is,
13,725
10 times of the number is givens as,
13,725*10
or, 137,250
here place value of 5 in 137,250 is 5 tens or 50.
Therefore, 50 is the numbers that have a 5 in 10 times the value of the 13,725.
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Write a Quadratic function in vertex form y - alx - h)2 + k that when compared to the parent function y * *? has the following Transformations.
No reflection over the x axis, shift right 9 units and has a vertical compression by a factor of 0.14.
Answer:
(02.02 HC)
The boxes described below have the same volume but different dimensions and surface area. Describe
the relationship between the surface area and the volume of a cell. Analyze the data and explain why cell
shapes can be beneficial.
future: a day, a week, or even a few months from now.
short-term goal
long-term goal
intermediate goal
specific goa
Re-write the quadratic function below in Standard Form
y=2(x+2)(x−4)
Answer:
Standard form:
y=2x^2-4x-16
What does n mean?????
a. Data values are 13.4, 16.3, 14.2 , 15.4 , 14.2 ,17.5
b. ∑x = 91
c. n = 6
What is mean and data values?Adding all numbers in the data and then dividing by the number of values is called mean. Median is defined as the middle value when a data set is in such a way that it goes from least to the greatest value. Whereas the number that occurs most often in a data set is mode. Sample size is represented by "n". Whereas, symbol Σ denotes the summation.
For the given mean,
The data values are 3.4, 16.3, 14.2 , 15.4 , 14.2 ,17.5
Summation, ∑x = 3.4+ 16.3+ 14.2 + 15.4 + 14.2 +17.5
= 91
n is the number of data that is 6.
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Sphenathi and other matriculants plan to pass Bloemfontein at 07.25 to travel the above stated distance to Uptington. Determine (to the nearest km/h) the average speed at which they must travel to be in Uptington by 09:45.
Sphenathi and the other matriculants must travel at an average speed of approximately 107 km/h to reach Uptington by 09:45.
To determine the average speed at which Sphenathi and the other matriculants must travel to reach Uptington by 09:45, we need to calculate the time available for the journey and the distance between the two locations.
The time available is from 07:25 to 09:45, which is a total of 2 hours and 20 minutes. We need to convert this time to hours by dividing by 60:
2 hours + 20 minutes / 60 = 2.33 hours
Now, let's calculate the distance between Bloemfontein and Uptington. Suppose the distance is 'd' kilometers.
We can use the formula for average speed: average speed = distance / time
In this case, the average speed should be such that the distance divided by the time is equal to the average speed.
d / 2.33 = average speed
Now, let's assume that Sphenathi and the other matriculants must travel a distance of 250 kilometers to reach Uptington. We'll substitute this value into the equation:
250 / 2.33 = average speed
To find the average speed to the nearest km/h, we'll calculate the result:
average speed ≈ 107.3 km/h
Therefore, Sphenathi and the other matriculants must travel at an average speed of approximately 107 km/h to reach Uptington by 09:45.
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Which has a greater volume, a quart or a liter? Explain.
Answer:
A quart is a little less then a liter
Step-by-step explanation:
An easy way to figure out liters to gallons, is that a quart is a little less than a liter and 4 liters is a little more than 1 gallon. To be exact, 1 liter is 0.264 gallon (a little more than a quart), and 4 liters is 1.06 gallons.
---
Hope this helps you!
Answer:
A quart is a little less than a liter and 4 liters is more than 1 gallon. To be exact, 1 liter is 0.264 gallons (a little more than a quart), and 4 liters is 1.06 gallons.
Step-by-step explanation:
2548 rounded to thousand
Answer:
3000
Step-by-step explanation:
Review the graph.
On a coordinate plane, a circle has center (4, 0) and radius 4. Another circle has center (2, negative 3) and radius 6. The area inside of the first circle and outside of the second circle between the 2 circles is shaded.
Which system of inequalities is shown in the graph?
36 > (x + 3)2 + (y – 2)2 and 16 > (x – 4)2 + y2
36 > (x – 2)2 + (y + 3)2 and 16 > (x – 4)2 + y2
36 < (x + 3)2 + (y – 2)2 and 16 > (x – 4)2 + y2
36 < (x – 2)2 + (y + 3)2 and 16 > (x – 4)2 + y2
Answer:
36 < (x - 2)² + (y + 3)² and 16 > (x - 4)² + y²
Step-by-step explanation:
This is because the shaded area is inside the first circle (centered at (4, 0) with a radius of 4) but outside the second circle (centered at (2, -3) with a radius of 6). The inequalities reflect these conditions by setting the inequality signs accordingly. The inequality with "<" for the first circle ensures that the shaded area is within the circle, and the inequality with ">" for the second circle ensures that the shaded area is outside the circle.
10. The set of prime numbers greater than 11 with the cardinality of 5.
The set of prime numbers greater than 11 with the cardinality of 5 is {13, 17, 19, 23, 29}
How to determine the setFrom the question, we have the following parametes that can be used in our computation:
Set = prime numbers
Cardinality = 5
The cardinality implies that the number of elements in the set is 5
5 prime numbers greater than 11 are 13, 17, 19, 23, 29
Hence, the set is {13, 17, 19, 23, 29}
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ok so if someone needs 2 1/4 cups of water for 1 cup of rice then if they use 1/3 cup of rice how much water would they need
You would need 3/4 cups of water.
CAN ANYONE PLZ ANSWER MY LAST QUESTION?????????!!!!!!!!!!!!!!!!
Answer:
what is the question? lol
Step-by-step explanation:
Answer:
what question ??
Step-by-step explanation:
The value of a coin in 2010 was $40. The value of the coin has increased in value at a rate of 16.9% annually.
What was the value of the coin in 2019?
Enter your answer in the box rounded to the nearest dollar.
The value of the coin in 2019 would be approximately $132.
To calculate the value of the coin in 2019, we need to consider the annual increase rate of 16.9% from 2010 to 2019. We can use the compound interest formula to find the final value.
Starting with the initial value of $40 in 2010, we can calculate the value in 2019 as follows:
Value in 2019 = Initial value * (1 + Rate)^n
where Rate is the annual increase rate and n is the number of years between 2010 and 2019.
Plugging in the values:
Value in 2019 = $40 * (1 + 0.169)^9
Value in 2019 ≈ $40 * 2.996
Value in 2019 ≈ $119.84
Rounding the value to the nearest dollar, we get approximately $120. Therefore, the value of the coin in 2019 would be approximately $120.
However, please note that the exact value may vary depending on the specific compounding method and rounding conventions used.
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2x-3\(\geq\) 0
Answer:
x ≥ 1.5
Step-by-step explanation:
2x - 3 ≥ 0 ( add 3 to both sides )
2x ≥ 3 ( divide both sides by 2 )
x ≥ 1.5
How many triangles can be drawn with the side lengths of 3 units, 4 units, and 5 units? Explain.
The number of triangles that can be drawn from the given side lengths is; 1 perfect right angle triangle
Right angle triangle proof
We are given the sides of the triangle to be;
3 units, 4 units and 5 units
Now, let us test if it is a right angled triangle by using the Pythagoras theorem as follows where;
a² + b² = c²
let a and b be 3 and 4 respectively. Thus;
3² + 4² = 16 + 9 = 25
c is 5. Thus; 5² = 25
Thus, we see that the 3 given sides fulfill the conditions of a right angle triangle.
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Sweatshirts at the discount store are on sale for 30% off the original price. If a sweatshirt
costs $30:
A) What is the discount?
B) What is the new price of the sweatshirt?
(Show your work)
Need help, pls!!!
ty!
The graph of this function will behave as (b) A graph of this function would slope downward, starting from a price of $100 dollars because the rate of change is less than 0 and the initial value is -10.
The demand function is given by d = 100 - 10p. This means that the quantity demanded (d) decreases as the price (p) increases.
The slope of the demand function is the rate of change of the quantity demanded with respect to the price. In this case, the slope is -10, which is negative. This indicates that as the price increases, the quantity demanded decreases.
The initial value of the demand function is 100, which represents the quantity demanded when the price is zero. This means that the demand function intersects the y-axis at (0, 100).
Therefore, the correct answer is (b) A graph of this function would slope downward, starting from a price of $100 dollars because the rate of change is less than 0 and the initial value is -10.
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The temperature on Thursday afternoon was 77 °F. A thunderstorm rolled through, and the temperature dropped by 10 °C. What was the temperature after the storm?
Answer:
15 °C
Step-by-step explanation:
°C = (°F - 32) * (5/9)
Given that the initial temperature was 77 °F and it dropped by 10 °C, we can calculate the final temperature.
Initial temperature: 77 °F
Converting to Celsius:
°C = (77 - 32) * (5/9)
°C ≈ 25
The temperature dropped by 10 °C, so the final temperature is:
Final temperature = Initial temperature - Temperature drop
Final temperature ≈ 25 - 10 = 15 °C
Therefore, the temperature after the storm was approximately 15 °C.
Write
√8 as a power of 2
.
Answer:
2^3
Step-by-step explanation:
2 x 2 x 2 = 8
Lee's goal is to log more
than 10,000 steps each day. If
she is awake 16 hours a day,
how many steps does she need
Ito take each hour?
Answer: 625 steps per hour
Step-by-step explanation:
10,000/16=625
Solve the trigonometric equation: 5sin theta+3=0 for values of theta from 0° to 360
Answer:
126.9° and 323.°1
Step-by-step explanation:
I'll use x instead of theta and you can replace it by theta
5 sin x + 3 = 0
5 sin x = - 3
Sin x = - 3/5
Key angle = sin¯¹ 3/5 = 36.8698
Sin negative, so we use the third and fourth quadrants
X = 90+36.8698, 360-36.8698
X = 126.8698, 323.1302
Theta = 126.9°, 323.°1