Answers
a)E
b)D
c)A
2)Between 3 and 4
decimal estimate is 3.6
3)Between -12 and -13
Decimal estimate is -12.25
4)5.48 or 5.5inches
5)32 feet
6)B
7)C
The answers are shown below:
What is square root?The square root of a number is that factor of a number which when multiplied by itself gives the original number. Squares and square roots are special exponents.
Consider the number 9. When 3 is multiplied by itself, it gives 9 as the product. This can be written as 3 × 3 or 32. Here, the exponent is 2, and we call it a square. Now when the exponent is 1/2, it refers to the square root of the number. For example, √n = n^1/2, where n is a positive integer.
a) point E represent √47 ( 6.855)b) point D represent √27 ( 5.19)
c) point A represent √11 ( 3.316)
√13(3.6050 lies between 3 and 4.-√150 (12.247) lies between (-12 and -13)side = √area= √30 = 5.477 inch√90=9.48 ( option b)The incorrect statement is √12 lies between 4 and 5Learn more about square root here:
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Related Questions
Jernardia is running a 5-kilometer race at a constant pace. After running for 20 minutes, she completes 4 kilometers. After running for 30 minutes, she
completes 5 kilometers. Her trainer writes an equation letting t, the time in minutes, represent the independent variable and k, the number of kilometers,
represent the dependent variable.
Which equation can be used to represent k, the number of kilometers Jerardia runs in t minutes?
Oy-5= 1(x - 30)
O y-30 = 10 (x - 5)
Oy-30 = -10 (x - 5)
Oy-30 = 0.1 (x - 5)
Answers
Answer:
oy-5=1 ( x-30)
Step-by-step explanation:
jernardia is dumb as heck
Al changes saved
4. Ten students in your class put their names on slips of paper inside a box. Out of the ten students, four
are girls, and six are boys. Five names are chosen.
What is the probability that three girls and two boys are chosen?
O 7.14%
350%
O 1.90%
O 23.81%
Answers
Answer:
1.90 percent
Step-by-step explanation:
Se deseneaza o dereapta si pe ea trei puncte A,B si C astfel incat C se afla intre A si B. Atunci numarul unghiurilor improprii distincte determinate de cele trei puncte este egal cu ? CAT MAI RAPID VA ROG!
Answers
Does this set of ordered pairs represent a function? Why or why not? -1,5), (0, -3), (2, 7), (4,0), (7, 5)) A. No, because two of the y-values are the same. OB. Yes, because there are two xvalues that are the same. OC. Yes, because every xvalue corresponds to exactly one yvalue D. No, because one xvalue corresponds to two different values.
Answers
Answer:
C.
Step-by-step explanation:
All the x-values are different and go to one y-value.
Yes this set of ordered pairs represent a function because every x value corresponds to exactly one y value
What are ordered pairs in sets?A function f from a set A to a set B is a set of ordered pairs {(x, y)} such that x in the set A and y is the in the B. For every x ∈ A there is exactly one y ∈ B such that (x, y) is an ordered pair in f. We call this element f(x). We call A the domain and we call B the range.
How do you determine if a set of ordered pairs are functions?A function is a set of ordered pairs in which no two different ordered pairs have the same x -coordinate. An equation that produces such a set of ordered pairs defines a function.
According to the question
Set of ordered pairs represent a function :
(-1,5), (0, -3), (2, 7), (4,0), (7, 5)
As we can observe that every point have different x value for there respective y ,
and A function is a set of ordered pairs in which no two different ordered pairs have the same x -coordinate.
Hence, Yes, this set of ordered pairs represent a function because every x value corresponds to exactly one y value
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this is the last question i need help on! i will mark brainlessttt :)thanks
Answers
Answer:
A.3
Step-by-step explanation:
Since the lines are parallel that angle is 90 same as the other. So you plug in all your answers to see with one gives you 90 that being 3 because 30(3)=90.
HELPPPPP!! Is the expression 6 + 3 = 9 an equation ? Explain.
Answers
Answer:
No, because an expression is already solved and an equation is where you have to solve it
Step-by-step explanation:
Answer:
No as said you have to solve and equation yet an expression is already solved for your viewing.
Step-by-step explanation:
The ratio of chocolate
chip cookies to total
cookies on a tray is 3:5.
What percent of the tray
is chocolate chip
cookies?
Answers
Answer:
The percent is 75%
Step-by-step explanation:
Evaluate each expression for s=4 and t=8
1) (25)^2t
2) 2st^2-5^2
3) 2s^2-t^3/16
Answers
Answer:
1. 2.328×[tex]10^{22}[/tex]
2. 487
3. 30.52 OR 0 (see explanation↓)
Step-by-step explanation:
1.[tex](25)^{2t}[/tex]
(sub for t=8)
=[tex]25^{2*8}[/tex]
=[tex]25^{16}[/tex]
=2.328×[tex]10^{22}[/tex]
2.[tex]2st^{2} -5^{2}[/tex]
(sub for s=4 and t=8)
=2×4×[tex]8^{2}[/tex]-[tex]5^{2}[/tex]
=512-25
=487
3.[tex]2s^{2} -t^{3/16}[/tex] (the equation is not clear so I will do [tex]2s^{2} -\frac{t^{3} }{16}[/tex] as well)
FOR [tex]2s^{2} -t^{3/16}[/tex]
(sub s=4 and t=8)
=2×[tex]4^{2}[/tex]-[tex]8^{3/16}[/tex]
=32-1.476826146
=30.52 (to the nearest 2 decimal place)
FOR [tex]2s^{2} -\frac{t^{3} }{16}[/tex]
(sub s=4 and t=8)
=2×[tex]4^{2}[/tex]-[tex]\frac{8^{3} }{16}[/tex]
=32-32
=0
10) A triangle is shown above. Glo Metri claims that the Pythagorean Theorem
can be used to solve for the missing side length x. Is Gio's claim correct? Why or
why not?
A. No, Gio's claim is incorrect because the Pythagorean theorem can only be used
when the side lengths of a triangle are square numbers.
B. No, Gio's claim is incorrect because the Pythagorean theorem can only be used
with a right triangle.
C. Yes, Gio's claim is correct because the Pythagorean theorem can be used to find
the missing side in any triangle.
D. Yes, Gio's claim is correct because the Pythagorean theorem can be used with any
triangle that is approximately right.
Answers
Answer:
B. No, Gio's claim is incorrect because the Pythagorean theorem can only be used
with a right triangle.
Step-by-step explanation:
The pythagorean theorem which is given as a² + b² = c², only applies to right triangles. Where, c is the hypotenuse side length that is opposite to the right angle of the triangle, while a and b are the two other legs of the right triangle.
The triangle given above is not a right angle. The measure of the missing length = 180 - (60 + 40) = 80°.
A right ∆ has an angle measure of 90°. Therefore, the pythagorean theorem cannot be applied in this case to solve for the missing side length, x.
So, Gio's claim is INCORRECT.
A vaccine is 95 percent effective. What is the probability that it is not effective for more than 1 out of 20 individuals?
Answers
Answer:
The probability that the vaccine is not effective in more than 1 of the 20 individuals is equal to:
P = 1 - P(1) - P(0)
Where:
P(1) = probability that the vaccine is not effective in one individual
P(0) = probability that the vaccine is not effective in 0 individuals.
The probability that the vaccine is effective is 0.95
Then the probability that the vaccine is not effective is 0.05.
Then to calculate P(1), suppose that the vaccine is not effective in the first case and then is effective 19 times, this is:
p(1) = (0.05^1)*(0.95^19)
But this only for one case, we have 20 possible permutations (the vaccine is not effective in the first case, the second case, third case, etc)
Then the actual probability is:
P(1) = 20*((0.05^1)*(0.95^19)) = 0.377
And P(0) is easy to compute:
P(0) = (0.05^0)*(0.95^20) = 0.358
And here we have only one possible permutation, so we do not worry about that.
Then P = 1 - P(1) - P(0) = 1 - 0.377 - 0.358 = 0.265
This means that the probability that the vaccine is not effective in more than one individual is of 0.265 (or 26.5% in percentage form)
Solve the proportion.
Thursday
Friday
Classes
6
Hours
8
4
Hellppppp it’s a testttt!
Answers
Ratio of number of classes and the time taken to conduct each one of them on Thursday = 6 : 8
Ratio of number of classes and the time taken to conduct each one of them on Friday = c : 4
Which means :-
6 : 8 :: c : 4
6/8 = c/4
= 6 × 4 = c × 8
= 24 = 3 × 8
c = 3
The ratio = 6 : 8 :: 3 : 4
Which means that C = 3 .
Use the Intermediate Value Theorem to show that there is a root of the given equation in the specified interval. ex = 3 − 2x, (0, 1) The equation ex = 3 − 2x is equivalent to the equation f(x) = ex − 3 + 2x = 0. f(x) is continuous on the interval [0, 1], f(0) = _____, and f(1) = _____. Since f(0) < 0 < f(1) , there is a number c in (0, 1) such that f(c) = 0 by the Intermediate Value Theorem. Thus, there is a root of the equation ex = 3 − 2x, in the interval (0, 1)
Answers
Answer:
f(x) is continuous on the interval [0, 1], f(0) = -2 , and f(1) = 1.718 . Since f(0) < 0 < f(1) , there is a number c in (0, 1) such that f(c) = 0 by the Intermediate Value Theorem. Thus, there is a root of the equation ex = 3 − 2x, in the interval (0, 1)
Step-by-step explanation:
From the question we are told that
The equation is [tex]f(x) = e^x - 3-2x [/tex]
The interval is [0, 1]
Generally f(0) is
[tex]f(0) = e^0 - 3-2(0) [/tex]
=> [tex]f(0) = 1 - 3-2(0) [/tex]
=> [tex]f(0) = -2[/tex]
Generally f(1) is
[tex]f(1) = e^1 - 3-2(1) [/tex]
[tex]f(1) = e^1 - 1 [/tex]
[tex]f(1) = 1.718 [/tex]
From the value we see that at x = 0 , f(0) = -2 which is below the x-axis
and the at x = 1 , f(1) = 1.718 which is above the x-axis
Now the according to Intermediate Value Theorem , given the condition stated above, there will exist a root c in the interval such that
f(c) = 0
Convert the measurement:
3 inches to centimeters
O 7.00 cm
0 2.78 cm
O 8.21 cm
O 7.62 cm
Answers
Step-by-step explanation:
ans is 7.62
1 inch =2.54cm
2.54 multiplied by 3=7.62
what is the slope of this line -1/3, -2/3,2/3,1/3
Answers
Answer:
(-5,9),(3,0)
(0,1),(1,0)
(1,2),(3,4)
Step-by-step explanation:
I hope this helps!
Answer: It's 2/3
Step-by-step explanation:
What is the other solution to the equation?
A: x=-6
B: x=-4
C: x=2
D: x=4
Answers
Answer:
to what
Step-by-step explanation:
i can't see the question
Mai says that -8 > -4 . Do you agree with her? Explain or show your reasoning.
Answers
Answer:
No
Step-by-step explanation:
-8 is less than -4. Negative numbers reverse the logic of positive ones: since positive 8 is more than positive 4, negative 8 is less than negative 4.
What is the slope of the line represented by the equation 2x + 3y= -12. (A)- 3/2. (B)-2/3. (C) 2/3. (D) 3/2
Answers
Answer:
-2/3
Step-by-step explanation:
Here, we need to rearrange the equation into slope intercept form:
[tex]2x + 3y = -12[/tex]
subtract 2x on both sides:
[tex]3y = -2x-12[/tex]
divide 3 on both sides:
[tex]y = \frac{-2}{3} x + 4[/tex]
Finally, we get it in the form y = mx + b. We know that in that form, m is the slope so that means, the slope is -2/3
-2/3
Explanation:
The equation in the question is written in the standard form of a linear equation.
Standard form: Ax+By=C
A, B and C don’t have any direct interpretation on a graph, so we can’t identify the slope or really any information about the line when the equation is in standard form.
To identify the slope from an equation, we have to change it to slope-intercept form.
Slope-intercept form: y=mx+b
Here’s what the variables mean:
Y= the y-coordinate
M=the slope
X=the x-coordinate
B= the y-intercept (the point on the line that intercepts the y-axis)
1) Rearrange the equation
2x+3y=-12
Subtract both sides by 2x to isolate 3y
-2x+2x+3y=-2x-12
3y=-2x-12
Divide both sides by 3 to isolate y
3y/3=-2/3x-12/3
y=-2/3x-4
2) Identify the m variable
The value in place of the m variable in y=mx+b represents the slope. From the equation above, we can see clearly that -2/3x is in place of the m variable. Here’s a comparison:
y=mx+b
y=-2/3x-4
Therefore, the slope of the line represented by the equation 2x+3y=-12 is -2/3.
I hope this helps! Please comment if you have any questions.
PLEASEEEEEE HELPPPP!!!!
Answers
3)9.375 and 12 is )37.5
A normal population has mean =μ7 and standard deviation =σ5. (a) What proportion of the population is less than 18?
Answers
Answer:
P(x< 18) = 0.986
Step-by-step explanation:
Step 1: find the z-score using the formula, z = (x - µ)/σ
Where,
x = randomly chosen values = 18
µ = mean = 7
σ = standard deviation = 5
Proportion of the population that is less than 18 = P(x < 18)
Plug in the values into z = (x - µ)/σ, to get z-score.
z = (18 - 7)/5
z = 11/5 = 2.2
Step 2: Find P(x< 18) = P (z<2.2) using z-table.
The probability that corresponds with z-score calculated is 0.986.
Therefore,
P(x< 18) = 0.986
What are the slopes of the perpendicular lines?
1: y=-5/2x-8
2: y=5x
3: y=3x-8
Answers
Answer:
1. 2/5
2. -1/5
3. -1/3
Step-by-step explanation:
the parpendicular slope is found by taking the original slope and finding the opposite reciprocal. so just flip the slope and make it the opposite sign
-5/2 ---> 2/5
+5/1 ---> -1/5
+3/1 ---> -1/3
1. 2/5
2. -1/5
3. -1/3
Explanation:
There are two key concepts that we have to understand in order to answer this question:
1) The given equations are organized in slope-intercept form: y=mx+b. Here’s what the variables mean:
Y= the y coordinate
M=the slope
X= the coordinate
B= the y intercept
From the given equations we can now identify the slopes as -5/2, 5 and 3.
2) Perpendicular lines have slopes that are NEGATIVE RECIPROCALS of each other.
Example: Line A has the slope 8. A line that is perpendicular to line A would have a slope of -1/8.
Example #2: Line B has the slope -2/3. A line that is perpendicular to line B would have a slope of 3/2 (two negatives make a positive).
Now that we understand these two concepts, we need to look at the slopes of the given lines and determine their negative reciprocals to find the slopes of their perpendicular lines.
1. y=-5/2x-8
We can see that -5/2 is in the place of “m” in y=mx+b. The negative reciprocal of -5/2 is 2/5, so therefore, the slope of the line perpendicular to y=-5/2x-8 is 2/5.
2. y=5x
There is no “b” value in this equation, but we can still identify 5 as “m”. The negative reciprocal of 5 is -1/5, so therefore, the slope of the line perpendicular to y=5c is -1/5.
3. y=3x-8
The negative reciprocal of 3 is -1/3, so therefore, the slope of the line perpendicular to line y=3x-8 is -1/3.
I hope this helps! Please comment if you have any questions.
CHECK PHOTO Intercepts of the graph BE SURE TO BE CORRECT PLEASE no work needed
Answers
Answer:
y= (0, .7)
x= (-1.2, 0)
Step-by-step explanation:
r u taking a test?
I need help ASAP please
Answers
B. The y-intercept is 6.25 because that is the total cost when the number of drinks(x) is zero.
C. y=3.75x+6.25
The constant of proportionality of this table is
Cups of
blue paint
cups of
yellow paint
2 10
1
Answers
Answer:
Step-by-step explanation:
1/2
A die is rolled thrice. What is the probability that the sum of
the rolls
rolls is atleast 5
Answers
Answer:
1 out of 6
Step-by-step explanation:
no matter how many times you roll it the chances will always be the same
Answer:
there is a 1/6 chance
Step-by-step explanation:
there are 216 total combinations but only 36 combinations that end in 5.
36/216 = 1/6.
Hope this helps!
How do you do these 2 questions?
Answers
Answer:
0 ≤ an ≤ bn
The series ∑₁°° bn converges
The series ∑₁°° an converges by comparison to ∑₁°° bn.
0 ≤ an ≤ bn
The series ∑₁°° bn diverges
The comparison test is inconclusive for our choice of bn.
Step-by-step explanation:
an = 1 / (n² + n + 3) and bn = 1 / n²
The numerators are the same, and the denominator of an is greater than the denominator of bn. So 0 ≤ an ≤ bn.
bn is a p series with p > 1, so it converges.
Since the larger function converges, the smaller function also converges.
an = (3n − 1) / (6n² + 2n + 1) and bn = 1 / (2n)
If we rewrite bn as bn = (3n − 1) / (6n² − 2n), we can tell that when the numerators are equal, the denominator of an is greater than the denominator of bn. So 0 ≤ an ≤ bn.
bn is a p series with p = 1, so it diverges.
The larger function diverges. We cannot conclude whether the smaller function converges or diverges.
· At what point does the value of f(x) exceed the value of g(x) if
f(x)=200(1.194) and g(x) = 8x + 225? Justify your answer with a graph.
Someone help I’m dying
Answers
Step-by-step explanation:
hope this helps, good Luck xD.
What’re these two problems simplified?
Answers
Step-by-step explanation:
-2(3x-12)+4-13
=-6x+24+4-13=-7x-15
=6x-15
4(5x-1)+8x-20=20x-4+8x-20
=28x-24
So this is ur solution.
But if u wnt to solve these eq. together thn it will be:-
6x-15=28x-24
6x-28x=-24+15
-22x=-9
x=22/9=2.44
Hope u like it.
Answer:
-8+9 is problem one
Step-by-st-ep explanation:
I NEED HELP PLEASE AND SHOW THE WORK PLEASE
Answers
Answer:
6. x = 28 degrees
7. z = 1.6 cm
Step-by-step explanation:
6.
Notice that you can use the property that tells us that the addition of all internal angles of a triangle must give 180 degrees, then you write the following equation:
50 + 69 + (2 x +5) = 180
combine like terms:
119 + 2 x + 5 = 180
124 + 2 x = 180
subtract 124 from both sides:
2 x = 56
divide by 2 both sides:
x = 56 / 2
x = 28 degrees
Problem 7.
If the two triangles are congruent, then the side MN must equal side RS.
Since MN measure 1,8 cm, then RS must also measure 1.8 cm
and we can write the equation:
1.8 = 3 z - 3
adding 3 to both sides:
1.8 + 3 = 3 z
4.8 = 3 z
dividing both sides by 3:
z = 4.8 / 3
z = 1.6 cm
I need help asap! Ill make you brainiest if answer
Answers
Answer:
43
Step-by-step explanation:
5 × 3 - 7 × -4 =
15 - - 28 =
15 + 28 = 43
Answer:
43
Step-by-step explanation:
5a - 7b if a = 3 and b = -4
= 5(3) - 7(-4)
= 15 - -28
= 15+28
= 43
3/4x-4=5/6
Rewrite so it doesn’t have any fraction