Answer:
1/17 0r 6%
Step-by-step explanation:
the answer is rounded up for you
5. Find the vertex and length of the latus rectum for the parabola.
Answer: (2,5)
Step-by-step explanation:
To find the x coordinate of the vertex, you will set x-2=0 and solve for x
x-2=0
+2 +2
x = 2
Now since we know the vertex has an x coordinate of 2 we have to solve for y by plotting in the x value.
y= 1/2(2-2)^2 + 5
y = 0 +5
y =5
(2,5)
Helppp!!!! please!!!
Answer:
Step-by-step explanation:
Feel pleasure to help u..
Answer:
A. 1,885 cm³
Step-by-step explanation:
[tex]V=\pi r^{2} \frac{h}{3}[/tex]
[tex]\pi 15^{2} \frac{8}{3}[/tex]
15²=225
[tex]\frac{8}{3} =2.67[/tex]
3.14 x 225 = 706.5
706.5 x 2.67 = 1884.96
Maria claims that any fraction between 1/5 and 1/7 on a number line must have a denominator that is 6.Enter a fraction that shows Maria's claim is incorrect A. 6/35 B.13/70 C. 9/35 D.16/70 please help me
Answer
A or B
Step-by-step explanation:
the lowest is 1/7 = 5/35 = 10/70
the highest is 1/5 = 7/35 = 14/70
so answer A and B are OK
C and D are out of range
Please help me get the right answer
Answer:
A
Step-by-step explanation:
When multiplying numbers with exponents, the exponents add together. This means that the correct answer is letter A.
What is the area of the square adjacent to the third side of the triangle?
Answer:
The area of the square adjacent to the third side of the triangle is 11 units²
Step-by-step explanation:
We are given the area of two squares, one being 33 units² the other 44 units². A square is present with all sides being equal, and hence the length of the square present with an area of 33 units² say, should be x² = 33 - if x = the length of one side. Let's make it so that this side belongs to the side of the triangle, to our convenience,
x² = 33,
x = [tex]\sqrt{33}[/tex] .... this is the length of the square, but also a leg of the triangle. Let's calculate the length of the square present with an area of 44 units². This would also be the hypotenuse of the triangle.
x² = 44,
x = [tex]\sqrt{44}[/tex] .... applying pythagorean theorem we should receive the length of a side of the unknown square area. By taking this length to the power of two, we can calculate the square's area, and hence get our solution.
Let x = the length of the side of the unknown square's area -
[tex]\sqrt{(44)}^2[/tex] = [tex]x^2[/tex] + [tex]\sqrt{33}^2[/tex],
x = [tex]\sqrt{11}[/tex] ... And [tex]\sqrt{11}[/tex] squared is 11, making the area of this square 11 units².
Answer:
11 units²Step-by-step explanation:
If the triangle is right then area of square adjacent to the longest side is equal to sum of areas of squares adjacent to its other sides. (As in Pythagorean theorem)
So:
33 units² + ? = 44 units²
? = 44 units² - 33 units²
? = 11 units²
find the zeros of ply nomial x2-3 and verify the relation ship
Answer:
[tex]x=\pm \sqrt{3}[/tex]
Step-by-step explanation:
Consider the given polynomial is
[tex]P(x)=x^2-3[/tex]
We need to find the zeros of the given polynomial.
Now,
[tex]P(x)=0[/tex]
[tex]x^2-3=0[/tex]
Add 3 on both sides.
[tex]x^2=3[/tex]
Taking square root on both sides.
[tex]x=\pm \sqrt{3}[/tex]
Therefore, zeros of the polynomial P(x) are [tex]-\sqrt{3} \text{ and }\sqrt{3}[/tex].
To verify the relationship, put [tex]x=\sqrt{3}[/tex] in P(x).
[tex]P(\sqrt{3})=(\sqrt{3})^2-3=3-3=0[/tex]
Put [tex]x=-\sqrt{3}[/tex] in P(x).
[tex]P(-\sqrt{3})=(-\sqrt{3})^2-3=3-3=0[/tex]
Since P(x)=0 for both values, therefore relationship verified.
I am between 8 o clock in the morning and 3:00 in the afternoon .My number of minutes is odd i am more than half an hour away from the next o clock i am closer to 5pm than to 5am what time am i ?
Answer:
1:00 PM
Step-by-step explanation:
According to the conditions given in the question, i confirm that the time time asked here is 1:00 PM.
at 1:00 PM, its 5 minutes (odd), clearly, more than half an hour away from the next o clock. It is closer to 5 PM than 5 AM.
what is this answer5+(−4)=
Answer:
Hello!
____________________
5+(−4)= 1
Step-by-step explanation: Simplify the expression.
Hope this helped you!
Answer:
5+(-4)=1
Step-by-step explanation:
Can someone help me with this question please??
Please I need help with this question
Answer:
Step-by-step explanation:
2/3(6y + 9)
2/3(6y) = 4y
2/3(9) = 6
=4y + 6 (A)
According to a nutrition coach, a 100 kg person should eat
0.07 kg of protein. What percent of a person's body weight should they eat
in protein? (round to 2 decimal places) *
Answer:
0.07%
Step-by-step explanation:
This equation is solving for what percentage of 100 kg is 0.07 kg.
1. Set up the equation
[tex]\frac{0.07}{100}[/tex] = [tex]\frac{x}{100}[/tex]
0.07 kg out of 100 kg is equal to x out of 100 because x represents the percentage and percentages are out of 100.
2. Solve by cross multiplying
100x = 7
3. Solve for x by dividing both sides by 100
x = 0.07
The answer is 0.07%
Complete the table of values below: x -3 -2 -1 0 1 2 3 How the graph relates to y=2x y=2x Answer Answer Answer Answer Answer Answer Answer Not applicable y=-2x Answer Answer Answer Answer Answer Answer Answer multiplied by Answer y=(3)(2x)
Answer:
The values of x are:
x : -3, -2, -1, 0, 1, 2, 3
Let's solve each by putting each value of x into each equation:
a [tex]y = 2^x[/tex]
> x = -3
=> y = 2^(-3) = 1/8
> x = -2
=> y = 2^(-2) = 1/4
> x = -1
=> y = 2^(-1) = 1/2
> x = 0
=> y = 2^0 = 1
> x = 1
=> y = 2^1 = 2
> x = 2
=> y = 2^2 = 4
> x = 3
=> y = 2^3 = 8
b. [tex]y = -2^x[/tex]
> x = -3
=> y = -2^(-3) = -1/8
> x = -2
=> y = -2^(-2) = -1/4
> x = -1
=> y = -2^(-1) = -1/2
> x = 0
=> y = -2^0 = -1
> x = 1
=> y = -2^1 = -2
> x = 2
=> y = -2^2 = -4
> x = 3
=> y = -2^3 = -8
c. [tex]y = (3)(2^x)[/tex]
> x = -3
=> y = 3 * 2^(-3) = 3 * 1/8 = 3/8
> x = -2
=> y = 3 * 2^(-2) = 3 * 1/4 = 3/4
> x = -1
=> y = 3 * 2^(-1) = 3 * 1/2 = 3/2
> x = 0
=> y = 3 * 2^0 = 3 * 1 = 3
> x = 1
=> y = 3 * 2^1 = 3 * 2 = 6
> x = 2
=> y = 3 * 2^2 = 3 * 4 = 12
> x = 3
=> y = 3 * 2^3 = 3 * 8 = 24
Input these values into the table.
Answer:
a y = 2^x
> x = -3
=> y = 2^(-3) = 1/8
> x = -2
=> y = 2^(-2) = 1/4
> x = -1
=> y = 2^(-1) = 1/2
> x = 0
=> y = 2^0 = 1
> x = 1
=> y = 2^1 = 2
> x = 2
=> y = 2^2 = 4
> x = 3
=> y = 2^3 = 8
b. y = -2^x
> x = -3
=> y = -2^(-3) = -1/8
> x = -2
=> y = -2^(-2) = -1/4
> x = -1
=> y = -2^(-1) = -1/2
> x = 0
=> y = -2^0 = -1
> x = 1
=> y = -2^1 = -2
> x = 2
=> y = -2^2 = -4
> x = 3
=> y = -2^3 = -8
c. y = (3)(2^x)
> x = -3
=> y = 3 * 2^(-3) = 3 * 1/8 = 3/8
> x = -2
=> y = 3 * 2^(-2) = 3 * 1/4 = 3/4
> x = -1
=> y = 3 * 2^(-1) = 3 * 1/2 = 3/2
> x = 0
=> y = 3 * 2^0 = 3 * 1 = 3
> x = 1
=> y = 3 * 2^1 = 3 * 2 = 6
> x = 2
=> y = 3 * 2^2 = 3 * 4 = 12
> x = 3
=> y = 3 * 2^3 = 3 * 8 = 24
Step-by-step explanation:
I need this ASAP! When David was asked how old he was, he said: "I'm three times younger than my dad, but twice as old as Rebecca." Then little Rebecca ran up to him and declared "I am 30 years younger than my dad." How old is David?
Answer:
David is 12 years old.
Step-by-step explanation:
Let r = Rebecca's age
Let d = David's age
let p = Dad's age
David is 3 times as younger than his dad:
d = [tex]\frac{p}{3}[/tex]
David is 2 times older than Rebecca:
d = 2r
Rebecca is 30 years younger than the dad:
r = p-30
All three equations can be solved by a system
2r = [tex]\frac{p}{3}[/tex]
r = p-30
multiplying r = p-30 by negative 2 and adding it to 2r = [tex]\frac{p}{3}[/tex]
0 = (-2p + p/3) + 60
multiplying new equation by 3
0 = (-6p + p) + 180
5p = 180
p = 36
d = 36/3 = 12
Which value for R in the table would most likely indicate an association between the conditional variables? 0.09 0.10 0.13 0.79
Answer:
0.79
Step-by-step explanation:
This value is the most opposite of the value above R, meaning that there is an association between the variables.
Answer:
.79
Step-by-step explanation:
Bc y not
A football field is a rectangle 48m wide and 91m long. The coach asks players to run diagonally across the field. How far did the players run?
Answer:
102.88 m
Step-by-step explanation:
Pythagorean Theorem:
a²+b²=c²
48²+91²=c²
2304+8281=10585
c²=10585
Square both sides
c= 102.88
How far the players ran:
102.88 m
What is the product of (x-5) and (x-4)? Use the model to find the result
Answer:
The product of the model is [tex]x^2-9x+25[/tex]Step-by-step explanation:
Given the expression (x-5) and (x-4)
The product of the two factors can be expressed as follows
[tex]= (x-5) (x-4)\\=x(x-4)-5(x-5)\\[/tex]
Opening brackets we have
[tex]=x^2-4x-5x+25[/tex]
Collecting like terms we have
[tex]=x^2-9x+25[/tex]
PLEASE HELP!!!
What is the third quartile for this data set?
Answer:
38
Step-by-step explanation:
Using the five number summary it is 38 since it is 75 percent of the sample
You have the correct answer. Nice work
==========================================================
Explanation:
If the values aren't sorted, then list them from smallest to largest. The values are already sorted for us, so we move onto the next step.
That next step is to find the median. The median is 29 because four values are smaller than it, and four values are larger than it. The value 29 is right in the middle. This value is in slot 5.
Next, split the data into two halves where L = {21,24,25,28} is the lower half and U = {35,37,39,42} is the upper half. As you can see, any value in set L is smaller than the median. While any value in set U is larger than the median.
The third quartile is the median of set U. We have four values in this set, so the median will be between slots 3 and 4 (between 37 and 39)
Average 37 and 39 to get (37+39)/2 = 38. We see that 38 is the midpoint of 37 and 39.
Therefore, the third quartile is 38.
Can someone please help me I really need help please help me thank you
Hey there! :)
Answer:
SA = 144 cm².
Step-by-step explanation:
Find the surface area by calculating the areas of each of the lateral sides and bases:
In this instance, the bases are triangles, so the formula A = 1/2(bh) will be used:
Bases:
A = 1/2(bh)
A = 1/2(4·3)
A = 1/2(12)
A = 6 cm².
There are two bases, so:
6 × 2 = 12 cm²
Find the areas of the lateral sides using A = l × w:
5 × 11 = 55 cm²
4 × 11 = 44 cm²
3 × 11 = 33 cm²
Add up all of the areas:
12 + 55 + 44 + 33 = 144 cm².
Answer:
144 cm^2
Step-by-step explanation:
So, first find the area of the triangle. To find that you need to use the formula A = bh ÷ 2 (Area = base x height ÷ 2)
A = (4)(3) ÷ 2
A of triangle = 6
Since there are 2 triangles, you need to multiply the area by 2, which equals 12.
To find the area of the rectangles, you need to use the formula A = lw (Area = length x width)
For the first rectangle,
A = 11 x 5
A = 55
For the second rectangle,
A = 4 x 11
A = 44
For the third rectangle,
A = 3 x 11
A = 33
Now, you need to add the areas of the triangles and rectangles together to get your surface area.
12 + 55 + 44 + 33 = 144cm^2
So, the surface area of the triangular prism is 144 cm^2.
Determine the measure of the interior angle at vertex D.
Answer:
162°
Step-by-step explanation:
This is a hexagon, so the sum of the angle measures will be 720°
Add up the measures
40x=720
Divide
X=18
Multiply by 9 to find angle of D
9*18=162
The measure of the interior angle at vertex D is 162°. Hence, option B. is the right choice.
What are polygons?Polygons are closed plane figures formed by the intersection of 3 or more non-collinear line segments.
What is the sum of all interior angles of a polygon?The sum of interior angles of an n side polygon = (n-2)180°.
How do we solve the given question?We are given a 6 side polygon ABCDEF.
∴ n = 2.
The sum of interior angles of polygon ABCDEF = (6-2)180° = 4*180° = 720°.
The angles are 2x, 9x, 2x, 9x, 9x, and 9x.
Their sum = 2x + 9x + 2x + 9x + 9x + 9x = 40x.
This sum = The obtained sum
or, 40x = 720°
or, x = 720°/40 = 18°.
∴ Interior angle at vertex D = 9x = 9*18° = 162°. Hence, option B. is the right choice.
Learn more about Polygons at
https://brainly.com/question/1592456
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PLEASE HELP! ! ! PLEASEEE!!
Answer:
4^2
Step-by-step explanation:
4^4 times 4^3 is equal to 4^7 since you just add the exponents. Then, when dividing, you subtract the exponents, so 4^7/4^5 is 4^2. I hope this is helpful!
Answer:
the answer is
Step-by-step explanation:
4 to the power of 2
you add 4 and 3 which is 7
and 7 subtract 5 which is
4 to the power of 2
On a piece of paper, graph this system of equations.
y = x - 10
y = x2 - 2x - 3
Then determine which answer choice matches the graph you drew and
identify the solution(s) to the system.
Answer:
No solution
Step-by-step explanation:
If you graph this system of equations, they do not intersect in any way and therefore there is no solution.
will give brainliest 1. What is the formula for experimental probability? 2. What is a trial?
Answer:
1) Formula for experimental probability:
Experimental Probability = [tex]\frac{No.OfFavourableOutcomes}{No.OfPossibleOutcomes}[/tex]
2) Any performance or a random experiment is called a trial.
Find the value of x in the following
a) x:2 = 10:4 b) 3:x= 6:8
Answer:
a) x = 5
b) x = 4
Step-by-step explanation:
a) x:2 = 10:4
Product of extremes = Product of means
=> x*4 = 10*2
=> 4x = 20
Dividing both sides by 4
=> x = 5
b) 3:x = 6:8
Product of extremes = Product of Means
=> 3*8 = 6*x
=> 24 = 6x
Dividing both sides by 6
=> x = 4
Answer:
a. X= 5b. X= 4Solution,
[tex]a. \: \: \frac{x}{2} = \frac{10}{4} \\ \: \: or \: x \times 4 = 10 \times 2 \: ( \: cross \: multiplication) \\ \: \: or \: 4x = 20 \\ or \:x = \frac{20}{4} \\ \: \: \: x = 5[/tex]
[tex]b. \: \frac{3}{x} = \frac{6}{8} \\ or \: 6 \times x = 3 \times 8 \: ( \: cross \: multiplication) \\ or \: 6x = 24 \\ \: or \: x = \frac{24}{6} \\ x = 4[/tex]
Hope this helps...
Good luck on your assignment
The time (in minutes) taken for a dose of a certain drug to be effective as a sedative on lab animals is normally distributed with mean =1 and variance 2=0.01. What is the proportion of animals for which the time taken is between 1 and 1.1 minutes?
Answer:
Step-by-step explanation:
Let x be the random variable representing the time (in minutes) taken for a dose of a certain drug to be effective as a sedative on lab animals. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,
z = (x - µ)/σ
Where
x = sample mean
µ = population mean
σ = standard deviation
From the information given,
µ = 1
σ = √variance = √0.01 = 0.1
the probability that the time taken for a randomly selected animal is between 1 and 1.1 minutes is expressed as
P(1 ≤ x ≤ 1.1)
For x = 1,
z = (1 - 1)/0.1 = 0
Looking at the normal distribution table, the probability corresponding to the z score is 0.5
For x = 1.1
z = (1.1 - 1)/0.1 = 1
Looking at the normal distribution table, the probability corresponding to the z score is 0.84
Therefore,
P(1 ≤ x ≤ 1.1) = 0.84 - 0.5 = 0.34
The the proportion of animals for which the time taken is between 1 and 1.1 minutes is 0.34
Possible values for the area A of the rectangle shown are 12 ≤ A ≤ 36. Write and solve a compound inequality to find the possible values of x. Are these values all viable in this situation?I really need help
Answer:
x can take any value and are viable in this situation if and only if it is a positive number
Step-by-step explanation:
We know that the area of a rectangle is given by:
A = x * y
So if we replace we have:
12 ≤ x * y ≤ 36
We divide by y, and we have:
12 / y ≤ x ≤ 36 / y
Which means that the value of x depends on y, that is to say if y is worth 1, the inequality would be:
12 ≤ x ≤ 36
In the event that y is equal to 2:
12/2 ≤ x ≤ 36/2
6 ≤ x ≤ 18
Which means, that depending on y, x can take any value and are viable in this situation if and only if it is a positive number.
The image of the function is missing, you can see it at the end of the answer.
For a rectangle of length L and width W, the area is given by:
A = L*W
We will find that the solution is: 3/2 ≤ x ≤ 11/2
Here we have:
L = 3
W = 2x + 1
Then the area equation is:
A = 3*(2x + 1) = 6x + 3
And we also have the inequality:
12 ≤ A ≤ 36
Replacing A with the equation we get:
12 ≤ 6x + 3 ≤ 36
Now we solve this for x:
12 - 3 ≤ 6x ≤ 36 - 3
9 ≤ 6x ≤ 33
Now we divide both sides by 6.
9/6 ≤ x ≤ 33/6
3/2 ≤ x ≤ 11/2
If you want to learn more, you can read:
https://brainly.com/question/1468729
Can someone help me with this question please.
Answer:
a). 3a² + 17a - 1
b). 4y (7y-6)
Step-by-step explanation:
in the second question, we find a number that can divide 28 and 24 without a remainder, which is 4
Can u guys PLEASE answer this question ASAP find the values of m and n where m>0 (m+√n)² = 14+6√5
Answer:
m=3, n=5
Step-by-step explanation:
(3+√5)² = (3+√5)(3+√5) =
3² + 3√5 + 3√5 + √5·√5 = 9 + 6√5 + 5 = 14+6√5
Another question please if your not busy
Isaac is purchasing two pairs of shoes—one pair for $37.00 and the second pair for $42.00. The state sales tax applied to Isaac’s bill is 7%. How much is Isaac’s total bill? Show your work SHOW UR WORK ?!?! whats the work PLS help
Complete the statement about this table.
The A:B ratio in the table that is not equivalent to the
others is
20:27
10:14
15:21
25:35
Answer:
20:27
Step-by-step explanation: