Answer:
Correct option is D.
Step-by-step explanation:
we have to choose the option for which number produces a rational number when added to 0.6
A rational number is an algebraic term expressed as a fraction. The fraction can also be in decimals but only if the decimal places are not repeating or finite(infinite then repeating). If they aren't, then these are called irrational numbers.
Let's try each of the choices:
A. The term 0.5050050005... is irrational number. Now, when 0.6 is added to it, the sum would be irrational.
B. √2 is an irrational number because its exact value is 1.4142135.. Even if you add 0.3 to it, the answer would still be irrational
C. Obviously, π is an irrational number and addition of rational to irrational always results in irrational.
D. The term [tex]\frac{5}{7}[/tex] is a rational number. Now, when 0.6 or [tex]\frac{6}{10}[/tex] is added to it, the sum would be [tex]\frac{92}{70}[/tex] This is a rational number.
Therefore, the answer is D.
If 3 is added to a number and the sum is tripledtripled, the result is 27 more than the number. find the number.
To solve this problem, let us say that the number is called x and let us do this step by step.
1st step: 3 is added to the number, therefore:
x + 3
2nd step: the sum is tripled, therefore:
3 (x + 3)
3rd step: the result in the 2nd step is equal to 27 more than the original number, therefore:
3 (x + 3) = x + 27
4th step: find for the value of x using the equation
3 x + 9 = x + 27
3 x – x = 27 – 9
2 x = 18
x = 9
Answer:
The number is 9
Simplify 8 − (14)
1. −22
2. −6
3. 6
4. 22
Answer:
2
Step-by-step explanation:
-6
How many values of θ will satisfy tan-1 0 = θ when 0º<θ<90º?
Ten is no more than 4 times the sum of twice a number and 3? Equation?
Find 3 consecutive integers if the sum of the first and third is 128
For the polynomial below, what is the coefficient of the term with the power of 3?
x^3+1/3x^4+6x+5
A. 6
B. 5
C. 0
D. 1
Answer: Option 'D' is correct.
Step-by-step explanation:
Since we have given that
[tex]x^3+\frac{1}{3}x^4+6x+5[/tex]
Coefficient of the terms are as follows:
Coefficient of x³ is 1
Coefficient of x⁴ is [tex]\frac{1}{3}[/tex]
Coefficient of x is 6
Constant term is 5
Hence, coefficient of the term with the power of 3 is 1.
Therefore, Option 'D' is correct.
Statistical Literacy For a binomial experiment with rr successes out of nn trials, what value do we use as a point estimate for the probability of success pp on a single trial? Select one: a. p hat = n-r b. p hat = n+r c. p hat = n/r d. p hat = r/n
A group of men and women were asked what their favorite pet was, and the results of the survey were tabulated.Petey is considering investing $19 in a certain company. Financial advisors forecast that there is a 30% chance that the stock will increase in value by 10%, and a 70% chance he will lose his initial investment. Determine if Petey should make the investment, and find the expected value of the investment.
A brick patio measures 18 ft by 16 ft by 6 in. find the volume of the bricks. if the density of the bricks is 130 pounds per cubic foot, what is the weight of the patio in pounds?
18 x 16 = 288
6 inches = 0.5 ft
288*0.5 = 144
patio = 144 cubic feet
144*130 = 18,720 total pounds
You roll a six sided die and toss a coin. What is the probability of rolling an odd number and then getting heads?
What is the measure of a base angle of an isosceles triangle if the vertex angle measures 38° and the two congruent sides each measure 21 units?
The measure of a base angle in an isosceles triangle with a vertex angle of 38° is 71°, as isosceles triangles have two equal base angles and the total sum of angles in any triangle is 180°.
Explanation:To calculate the measure of a base angle in an isosceles triangle, we need to remember that the sum of angles in a triangle is always 180°. Given that we have a vertex angle of 38°, we subtract that from 180° to find the sum of the two base angles. Since it's an isosceles triangle, these angles are equal:
180° - 38° = 142° (sum of both base angles)142° / 2 = 71° (measure of one base angle)Therefore, the measure of one base angle in this isosceles triangle is 71°.
The measure of each base angle of an isosceles triangle is 71°.
Explanation:An isosceles triangle has two congruent sides and two congruent base angles. In this case, the vertex angle measures 38° and the congruent sides each measure 21 units. To find the measure of a base angle, we can use the fact that the sum of the angles in a triangle is 180°. Since the vertex angle is 38°, the sum of the base angles is 180° - 38° = 142°. Since the base angles are congruent, we can divide 142° by 2 to find the measure of each base angle.
142° / 2 = 71°
Therefore, the measure of each base angle is 71°.
uhhhh how do i make a line parallel to AB through point C
The sum of the exterior angles of a convex polygon, one angle at each vertex, is equal to how many degrees?
Answer: 360°
Step-by-step explanation:
In the past ten years, the population of a city decreased from 90,000 to 75,000 Find the percent decrease.
Simplify the sum. (8u3 + 8u2 + 6) + (4u3 – 6u + 3)
Answer:
[tex]12u^{3}+8u^{2}-6u+9[/tex]
Step-by-step explanation:
we have
[tex](8u^{3}+8u^{2} +6)+(4u^{3}-6u+3)[/tex]
Group terms that contain the same variable
[tex](8u^{3}+4u^{3})+8u^{2}-6u+(6+3)[/tex]
Combine like terms
[tex](12u^{3})+8u^{2}-6u+(9)[/tex]
[tex]12u^{3}+8u^{2}-6u+9[/tex]
(02.06 MC)
What is the measure of angle x?
A pair of parallel lines is cut by a transversal. An exterior angle on the left of the transversal is labeled as 40 degrees. An interior angle on the right of the transversal, which is not vertically opposite to the 40 degree angle, is labeled as x.
40 degrees
80 degrees
130 degrees
140 degrees
If M is the midpoint of FG and MG = 7x-15, FG = 33, X = ?
The given expression gives x = 4.5.
If M is the midpoint of FG, this means that M divides FG into two equal segments. Therefore, FM = MG. We are given that MG = 7x - 15 and the total length of FG = 33. Hence, FM = MG = (1/2) * (FG).
Step-by-step solution:
Set up the equation for FM: FM = MG = (1/2) * 33.
This simplifies to FM = MG = 16.5.
Since MG = 7x - 15, we set 7x - 15 equal to 16.5.
Solve for x: 7x - 15 = 16.5.
First, add 15 to both sides: 7x = 31.5.
Finally, divide both sides by 7: x = 4.5.
Therefore, the value of x is 4.5.
Identify the property that justifies the statement: If 4x-3=7, then 4x=10
The equation shown above is showing the Addition Property of Equation where the number “3” is added to both of its sides. This is shown below,
4x - 3 = 7
4x - 3 + 3 = 7 + 3
4x = 10
PLEASE HELP I WILL RATE YOU BRAINLIEST!!
Write -5.8 as a mixed number in simplest form. Show your work
16x+9=9y−2x
solve for y
I am confused on how to solve for y, I learned it but I forgot how to can some one please help me?
A store manager is looking at past jewelry sales to determine what sizes of rings to keep in stock. The list shows the ring sizes purchased by the last ten jewelry customers.
9, 7, 6.5, 7.5, 7, 8, 5, 6, 7.5, 8
What is the variance of the data? Round to the nearest hundredths.
Describe how the graph of y=|x|-12 is like the graph of y=|x| and how it is different?
Answer:
Both functions are similar, because basically they have the same behaviour, but the difference is that they start from a different vertex. The reason of this is because [tex]y=|x|-12[/tex] is a translation of [tex]y=|x|[/tex].
Basically, the first function is similar to the second one, but translated downwards 12 units.
So, they are similar in behaviour, we could say parallel, but different on the position of the vertex, the first is at y=-12, and the second one at y=0.
The graph of each function is attached, there you can observe the similarity and different we mentioned before.
It takes 113 pounds of seed to completely plant a 12 -acre field. how many acres can be planted per pound of seed?
In one baseball season, Peter hit twice the difference of the number of homeruns Alice hit and 6. Altogether, they hit 18 homeruns. how many homeruns did each player hit that
season?
f(x)=11x-5, then f^-1(x)=
y=11x-5
x=11y-5
11y=5+x
divide each term by 11 to get:
y= 5/11 + x/11
so f^-1(x) = 5/11 + x/11
I need help finding ac, cb, and ab
Question 25. How do you do it?
Please HELP. Thank you
Point C to Point B appears to have a slope of 2/3, 3 blocks apart (in width) and 2 blocks apart (in height). Using a^2 + b^2 = c^2 will help where ^2 means (squared).
(2 x 2) + (3 x 3) = 13
Line CB is (square root) of 13.
Point A and B are 2 blocks apart (width) and 3 blocks apart (height), so using what we did in the last step...
(3 x 3) + (2 x 2) = 13
Line AB is (square root) of 13.
So now... With Line AB and Line CB being the square root of 13, the line AC should be (square root) (13 + 13), so (square root) 26. If it does equal this, then it is a right-triangle.
Point C and A are 1 block apart (width) and 5 blocks apart (height) so...
(1 x 1) + (5 x 5) = 26
Square root of 26...
In conclusion, the Triangle IS a Right-angle and you should pick "D"
What is the point slope equation of the line with slope -12 that goes through the points (5, 3)?
Answer:
y = -12x + 63
Step-by-step explanation:
- The equation of a line in a cartesian coordinate system is given by the following linear relationship:
y = mx + c
- The constants m and c are to be determined.
- The constant m denotes the slope of the line which is given as -12.
- To evaluate constant c we will plug the slope m = -12 and use the given point ( 5 , 3 ) as the lines passes through it. Hence, we have:
y = -12x + c
3 = -12(5) + c
3 = - 60 + c
c = 63
- Then the equation of the line can be expressed by plugging in the constants m and c as follows:
y = -12x + 63
How tall would a stack of 1000 pennies be in centimeters?
To calculate the height of a stack of 1000 pennies, multiply the thickness of one penny (0.1524 cm) by 1000. The total height would be 152.4 cm.
Explanation:Calculating the Height of a Stack of 1000 Pennies
To calculate the height of a stack of 1000 pennies, we first need to know the thickness of one penny. Unfortunately, the data provided talks about the volume of a stack of 100 bills, which is not directly relevant to our problem. However, by using the correct information, we find that a US penny is approximately 0.0598 inches (or 0.1524 cm) in thickness. So the calculation for the height of 1000 pennies stacked would be as follows:
Thickness of one penny = 0.1524 cmTotal height = 0.1524 cm/penny × 1000 penniesTotal height = 152.4 cmThus, the height of a stack of 1000 pennies would be 152.4 centimeters.
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