Answer:
Yes.
Step-by-step explanation:
26/7 is a rational number since it can be represented in the form p/q where q is not equal to 0.
Answer:
Step-by-step explanation:
No it is not, 26/7 is 3.714285714285714... which is going on. This makes it irrational. If it had an end or if it were repeating, it'd be a rational number.
The base of a rectangular fish tank measures 18 inches long by 10 inches wide. If it is filled with 1,080 cubic
inches of water, how many inches high would the water be in the fish tank?
Answer:6
Step-by-step explanation:
18 lengh times 10 width = 180
1,080/ 180 = 6
Determine the slope of the line that passes though the points (2,-5) and (4,3).
Answer: slope = 2
Step-by-step explanation:
The formula for calculating slope is given as :
[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1} }[/tex]
[tex]x_{1}=2[/tex]
[tex]x_{2}=4[/tex]
[tex]y_{1}=-5[/tex]
[tex]y_{2}=3[/tex]
substituting into the formula , we have :
[tex]m = \frac{3-(-5)}{4-2}[/tex]
[tex]m = \frac{8}{2}[/tex]
[tex]m = 2[/tex]
Therefore : slope = 2
Bob has a coin cup with four $1 tokens and two $5 tokens in it. He also has two $10 tokens and one $25 token in his pocket. He randomly draws a token from the cup, and then randomly draws a token from his pocket. What is the probability that he will draw $15 in tokens?
Final answer:
To calculate the probability that Bob will draw $15 in tokens, we need to calculate the probability of him drawing a $5 token from the cup (1/3) and a $10 token from his pocket (2/3) and then multiply these probabilities to get the total probability (2/9).
Explanation:
The probability that Bob will draw $15 in tokens consists of two steps: drawing from the coin cup and then drawing from his pocket. We must calculate the probability for each stage and, finally, multiply these probabilities together to get the total probability of drawing $15.
From the cup, Bob can draw either a $1 token or a $5 token. To get a total of $15, Bob would need to draw a $5 token from the cup, since the highest value in his pocket is $25 and 1+25 is greater than 15. There are two $5 tokens in the cup among six tokens in total, so the probability of drawing a $5 token is 2/6 or 1/3.
Having drawn a $5 token, he now needs to draw a $10 token from his pocket to reach the total of $15. In his pocket, he has two $10 tokens and one $25 token, making three tokens in total. The probability of drawing a $10 token is therefore 2/3.
By multiplying these probabilities, we get the total probability of drawing $15 in tokens: (1/3) * (2/3) = 2/9.
Therefore, the probability that Bob will draw $15 in tokens is 2/9.
Organize the given volumes of cubes as either a perfect cube or not-perfect cube.
900m3
Perfect cubes
Not-perfect cubes
9m
8m3
343m
1,000m
300m
Answer:
343m3,8m3,1000m3 for Perfect squares
300m3,9m3,900m3 for Not-perfect squares
Step-by-step explanation:
Did an assignment on edge
Answer: answer in the picture
Step-by-step explanation:
what is 30 divided by 41
Answer:
0.73170731707
Step-by-step explanation:
Answer:
About 0.73
Step-by-step explanation:
30/41 is about 0.73
You estimate that there are 75 marbles in a jar. The actual amount is 82 marbles. Find the percent error
Answer:
Percent Error:: 12/36 = 33 1/3 %
Step-by-step explanation:
Final answer:
To find the percent error when estimating marbles in a jar, you subtract the estimated value from the actual value, divide by the actual value, and multiply by 100. In this case, the percent error is 8.54%.
Explanation:
To find the percent error, you first calculate the absolute error by subtracting the estimated value from the actual value. Then, divide the absolute error by the actual value and multiply by 100 to get the percent error.
Calculate absolute error: 82 (actual) - 75 (estimated) = 7
Percent error formula: (Absolute error / Actual value) x 100%
Percent error = (7 / 82) x 100% = 8.54%
Please help! I’ll give 10 points.
Answer: 80m
Step-by-step explanation:
What I did was is 3/x=1.67/44.5
I set it up as a proportion, cross multiplied, and divided. you get around 79.9.... so I rounded up to 80. Hope that helped
Answer:
The buildings height was 64.23 (meters) to 2dp
Step-by-step explanation:
This is because the pole shadow = 44.3333% increase to get to 3ft
Seeing that 1.67 was the shadow and beside it the building shows 44.5 we just multiply it by the percentage and to not add one (1) to the decimal to add if not adding or showing what 44.33% becomes.
44.5 x 1.443333 =64.2283185 and sum (add) as its an increase = (44.5 + 19.72831 = 64.2283185) So 19.73 to 2dp is the difference without the 1 used and without being seen.
This is the hidden increase as we just say 44.33% of 44.5 ft But as we used the 1. to represent the x100.
We find 44.33% of 44.5 finds us the buildings exact measure to 2dp = 64.22m
Converted (= 210.72 feet to 2dp)
Hope this helps.
A certain drug is used to treat asthma. In a clinical trial of the drug, 21 of 250 treated subjects experienced headaches (based on data from the
manufacturer). The accompanying calculator display shows results from a test of the claim that less than 8% of treated subjects experienced
headaches. Use the normal distribution as an approximation to the binomial distribution and assume a 0.01 significance level to complete parts (a)
through (e) below
a. Is the test two-tailed, left-tailed, or right-tailed?
1-PropzTest
prop<0.08
z=0.233126
D=0.592168
Final answer:
The hypothesis test in question is a left-tailed test based on the claim that less than 8% of the subjects would experience headaches. With a z-value of 0.233126 and a stated significance level of 0.01, the D-value of 0.592168 suggests that there is not enough evidence to reject the null hypothesis.
Explanation:
When analyzing the clinical trial data for a drug used to treat asthma, we consider the provided information regarding the subjects experiencing headaches. With 21 out of 250 subjects reporting headaches, and a claim that less than 8% would experience this side effect, we set up a hypothesis test to determine if the claim holds at a 0.01 significance level. Given that the alternative hypothesis is prop < 0.08, which strictly tests for proportions lower than 8%, this is a left-tailed test.
The test statistic provided is a z-value of 0.233126, and the decision value (D-value) is 0.592168. Since the significance level is 0.01 and the test is left-tailed, we check if the z-value falls into the critical region defined by the significance level. If the z-value corresponds to a p-value lower than 0.01, we would reject the null hypothesis. Otherwise, we would fail to reject the null hypothesis.
In the context of large-sample hypothesis tests, as noted in a paragraph mentioning that 'the large-sample 1 - PropZTest provides the approximate p-value', when the p-value from the normal approximation is close to the level of significance, the exact p-value should be calculated using binomial probabilities. However, because the statistical calculator has provided a D-value (which relates to the p-value) significantly greater than the 0.01 significance level, we have sufficient evidence to fail to reject the null hypothesis, implying that there is not enough evidence to support the claim that less than 8% of treated subjects experienced headaches.
which expression is equivalent to 1/4 (2-5x+ 6)?
Answer:
Option B, -5/4x + 2
Step-by-step explanation:
Step 1: Combine like terms inside the parenthesis
[tex]1/4(2 - 5x + 6)[/tex]
[tex]1/4(8 - 5x)[/tex]
[tex](1/4 * 8) + (1/4 * -5x)[/tex]
[tex]2 - 5/4x[/tex]
Answer: Option B, -5/4x + 2
the sum of two numbers is 52 and their product is 100
Answer: 50 and 2
Explaination:
50 x 2 = 100
50 + 2 = 52
does any one know exponential equations?
Answer:
yes it is when you have in exponent you have to solve for example
3+2[tex]x^{2}[/tex]= 3+2x2=7
Please please please mark me brainliest
Step-by-step explanation:
Answer:Exponential functions follow all the rules of functions. However, because they also make up their own unique family, they have their own subset of rules. The following list outlines some basic rules that apply to exponential functions
Step-by-step explanation:The parent exponential function f(x) = bx always has a horizontal asymptote at y = 0, except when b = 1. You can’t raise a positive number to any power and get 0 or a negative number.
This rule is true because you can raise a positive number to any power. However, the range of exponential functions reflects that all exponential functions have horizontal asymptotes. All parent exponential functions (except when b = 1) have ranges greater than 0, or
The order of operations still governs how you act on the function. When the idea of a vertical transformation applies to an exponential function, most people take the order of operations and throw it out the window. Avoid this mistake.
You can’t multiply before you deal with the exponent.
You can’t have a base that’s negative. For example, y = (–2)x isn’t an equation you have to worry about graphing in pre-calculus. If you’re asked to graph y = –2x, don’t fret. You read this as “the opposite of 2 to the x,” which means that (remember the order of operations) you raise 2 to the power first and then multiply by –1. This simple change flips the graph upside down and changes its range to
A number with a negative exponent is the reciprocal of the number to the corresponding positive exponent. For instance, y = 2–3 doesn’t equal (–2)3 or –23. Raising any number to a negative power takes the reciprocal of the number to the positive power
When you multiply monomials with exponents, you add the exponents. F
When you have multiple factors inside parentheses raised to a power, you raise every single term to that power. For instance, (4x3y5)2 isn’t 4x3y10; it’s 16x6y10.
When graphing an exponential function, remember that the graph of an exponential function whose base number is greater than 1 always increases (or rises) as it moves to the right; as the graph moves to the left, it always approaches 0 but never actually get there. For example, f(x) = 2x is an exponential function, as is
The table shows the x and y values of these exponential functions. These parent functions illustrate that, as long as the exponent is positive, the graph of an exponential function whose base is greater than 1 increases as x increases — an example of exponential growth — whereas the graph of an exponential function whose base is between 0 and 1 decreases towards the x-axis as x increases — an example of exponential decay.
The graph of an exponential function who base numbers is fractions between 0 and 1 always rise to the left and approach 0 to the right. This rule holds true until you start to transform the parent graphs.
In the coordinate plane, when you graph a positive 210 degree angle you go
counter-clockwise and end up in the 2nd quadrant.
clockwise and end up in the 2nd quadrant
counter-clockwise and end up in the 3rd quadrant
clockwise and end up in the 3rd quadrant
Answer:
clockwise and end up in the 3rd quadrant
Step-by-step explanation:
That's how you're supposed to graph angles. Also, 180<210<270, which are the parameters for the 3rd quadrant
In the coordinate plane, when you graph a positive 210 degrees angle you go option (C) counter-clockwise and end up in the 3rd quadrant
What is Coordinate plane?A coordinate plane is a tool used for graphing points, lines, and other objects. It functions like a map that follows directions from one point to another.
What is angle?A figure which is formed by two rays or lines that shares a common endpoint is called an angle
Given,
We have to plot a positive 210 degree angle
So the movement will be in counter clockwise direction and angle 210 degrees in the third quadrant
Therefore when you graph positive 210 degrees you go in counterclockwise direction and end up in the 3rd quadrant
Hence, In the coordinate plane, when you graph a positive 210 degrees angle you go option (C) counter-clockwise and end up in the 3rd quadrant
Learn more about Coordinate Plane and angle here
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Wednesday's temperature was 30° cooler than Monday's temperature, t. Write an
expression for Wednesday's temperature.
Answer:
W=t-30
Step-by-step explanation:
If t is Monday, and Wednesday is W, then T- 30 is saying 30 less then T
How do u do this? Pls help me!!
Answer:
8.6 but im not sure.
Step-by-step explanation:
5 squared + 7 squared = 74 square root = 8.6
We have to find what "x" is greater than and less than.
(7-5)<x<(5+7) = 2 < x < 12
To be able to form a triangle, the sides can't be too small or big.
To find "x", use the formula above.
I need help like ASAP
PLZZZZ HELLLLLPPPPP!!!!!!! 15 PTS!!!
Kiki has a piece of string that she cuts into smaller pieces. This line plot shows the lengths of the pieces. Raj has a piece of string that is 12 as long as Kiki's third-longest piece. (Note: The problem says third-longest piece, not third-longest length.)
How long is Raj's piece of string?
Enter your answer as a mixed number in simplest form by filling in the boxes.
Answer:
2 3/4
Step-by-step explanation:
The length of Raj's string is 54 in long.
What is dot plot?A dot chart or dot plot is a statistical chart consisting of data points plotted on a fairly simple scale, typically using filled in circles. There are two commons, yet very different, versions of the dot chart.
Given that, Kiki has a piece of string that she cuts into smaller pieces. This line plot shows the lengths of the pieces. Raj has a piece of string that is 12 as long as Kiki's third-longest piece.
The third-longest piece = 4 1/2 in
The length of Raj's string = 4 1/2 x 12 = 9/2 x 12 = 54
Hence, the length of Raj's string is 54 in long.
Learn more about dot plots, click;
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what is negative 1 plus positive 8
Answer:
-9
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
You can think of the negative 1 as a subtraction. What you do is ignore the negative 1, take the 8 and then subtract 1 from it.
-1+8 to 8-1
The SAME thing!
HELP!!!! Need help with this!!
Answer:
80/9
Step-by-step explanation:
The sum of the angles of a triangle is 180. This means your equation will bw:
3x+70 + 5x + x+30 = 180
Add Like Terms
9x + 100 = 180
9x = 80
x = 80/9
what’s the missing angle
Answer:
A) 150
Step-by-step explanation:
All the angles in a triangle must add up to a total of 180 degrees.
So we can make an equation as given below:
20+10+?=180
30+?=180
?=150
So the missing angle is 150 degrees
Answer:
150
Step-by-step explanation:
Subtract 20 and 10 to 180 because the side of a triangle(or all three sided figures) is 180 and you get 150
This table gives a few (x,y) pairs of a line in the coordinate plane.
X | Y
———-
32| 22
48| 17
64| 12
What is the y-intercept of the line?
Answer:
0,32
Step-by-step explanation:
Can you answer this for me it’s hard, thanks!
Answer:
30[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
need help asap 30 POINTS A digital camera memory card is one fourth full. The card is two thirds full when 375 more pictures have been taken How many pictures are on the memory card when it is five sixths full?
1/4=3/12
2/3=8/12
5/12=375
375/5=75
1/12=75
75*12=900
10/12=5/6
5/6=750
Answer:
750 add and divide and stuff
PLEASE HELP WILL NAME BRAINLIEST the temperature in degrees Fahrenheit can be estimated by counting the number of times a cricket chirps in one minute. if a cricket chirps 132 times in one minute, use this formula to find the approximate temperature outside
C divided by 4+37
41
33
70
Answer:
C) 70
Step-by-step explanation:
To solve this problem, we simply use the equation provided:
[tex]x=\frac{C}{4} +37[/tex]
C= cricket chirps per minute
Lets plug the values into the equation:
[tex]x=\frac{132}{4}+37[/tex] First, divide 132 by 4.
[tex]x= 33 +37[/tex] Next, add 33 and 37.
[tex]x=70[/tex]
The estimated temperature is 70 degrees.
To take a taxi it costs $3.00 plus an additional $2.00 per mile traveled. You spent exactly $20 on a taxi which includes the $1 tip you left. How many miles did you travel?
Answer:
8 Miles
Step-by-step explanation:
Start by creating an equation based off what you know. To start we know it costs $3 just to get a ride + $2 for ever mile we travel (represent this using x)+ the $1 tip we left=$20.
3+2x+1=20
Now you add the like terms together(3+1)
2x+4=20 Subtract the 4 from both sides.
-4 -4
2x=16 Now you just divide each side by 2
_ _
2 2
x=8
Don't forget your label (miles)
How much would you need to deposit in an account now in order to have $4000 in the account in 10 years? Assume the account earns 5.3% interest compounded weekly.
Answer:
$2355.06
Step-by-step explanation:
Use the compound interest formula, filling in the numbers you know. Then solve for the number you don't know.
A = P(1 +r/n)^(nt)
where A is the account balance, P is the amount invested, r is the annual rate, n is the number of times per year interest is compounded, and t is the number of years.
Filling in the given values, we have ...
4000 = P(1 +.053/52)^(52·10) = P(1.6984738)
P = 4000/1.6984738 ≈ 2355.06
You would need to deposit $2355.06 in order to have $4000 in 10 years.
a carpenter is building a rectangular door. What kind of angles should she use for the corners?
Answer:
They should be right angles
Step-by-step explanation:
Since it is a rectangular door, it would need right angles
Find the sum of the first 8 terms in the geometric sequence: 1, 3, 9, 27,
The sum of the first 8 items in the geometric sequence:1, 3, 9, 27, ...etc is 3280.
Step-by-step explanation:
The given is,
sequence: 1,3,9,21,.. etc
Step:1
The given is based on multiplication of 3 to previous number,
( x - previous number, next number = 3 × [tex]x[/tex] )
First term : 1
Second term : 1 × 3 = 3
Third term : 3 × 3 = 9
Fourth term : 9 × 3 =27
Fifth term : 27 × 3 = 81
Sixth term : 81 × 3 = 243
Seventh term : 243 × 3 = 729
Eighth term : 729 × 3 = 2187
Step:2
Sum of first 8 terms [tex]= 1 + 3 + 9 + 27 + 81 + 243 + 729 + 2187[/tex]
= 3280
Sum of first 8 terms = 3280
Result:
The sum of the first 8 items in the geometric sequence:1, 3, 9, 27, ...etc is 3280.
5. What is the value of x?
A)15 Square root 3 B)15/2 C)5 Square root 3 D)15 Square root 2/2
Answer:
5√3
Step-by-step explanation:
A triangular prism. The rectangular sides are 8 inches by 4 inches, 8 inches by 5 inches, and 8 inches by 3 inches. The triangular sides have a base of 4 inches and height of 3 inches.
The area of each triangular base is:
A = 1/2(b)(h) A = 1/2(4)(3)
A = in.2
There are two bases, so total base area is in.2.
The lateral area is:
A = 8(4) + 8(3) + 8(5)
A = in.2
The total surface area is in.2.
Answer:
A of each triangular base = 6 in²
A of both bases = 12 in²
Lateral A = 96 in²
Surface area = 108 in²
Step-by-step explanation:
Area of each triangular base
1/2(3)(4) = 1/2(12) = 6
Area of both bases
6*2 = 12
Lateral Area
(8)(3) + (8)(4) + (8)(5)
24 + 32 + 40
96
Total Surface area
96 + 12 = 108 in²
Match the vocabulary word with the correct definition.
1
equilateral triangle
A triangle in which no two sides
have the same length.
A triangle in which all angles are
2. isosceles triangle
equal.
A triangle in which all three sides
3. triangle
4. scalene triangle
have the same length.
The union of three segments
determined by three noncollinear points.
A triangle in which at least two
sides have the same length
5. equiangular triangle
Answer:
equilateral triangle is a triangle with all three sides equal
isosceles triangle is a triangle with two sides of the same length
scalene triangle is a triangle in which no 2 sides have equal lengths
equiangular triangle is a triangle in which all angles are equal
triangle is the union of three segments determined by 3 noncolinear points
Answer:
Equilateral triangle : a triangle in which all three sides have the same length
Isosceles triangle : a triangle in which at least two sides have the same length
Triangle : the union of three segments determined by three non collinear points.
Scalene triangle : a triangle in which no two sides have the same length.
Equiangular triangle : a triangle in which all angles are equal