Find all numbers for which the rational expression is not defined!
5/x+8
Answer:
So I'm assuming we need the denominator to be 0. The only number that will satisfy this is -8.
x = -8.
Step-by-step explanation:
The reason is we need the denominator to be 0. The only way is -8 + 8 which is 0.
PLEASE HELP ME!!!
Use the quadratic formula to solve the equation.
5x^2−13x+7=0
Enter your answers, in simplified radical form
Answer:
[tex]\frac{13+\sqrt{29}}{10} , \frac{13-\sqrt{29}}{10}[/tex]
Step-by-step explanation:
[tex]5x^2-13x+7=0[/tex]
[tex]x=\dfrac{13\pm \sqrt{169-140}}{10}=\frac{13+\sqrt{29}}{10} , \frac{13-\sqrt{29}}{10}[/tex] . Hope this helps!
Plz help, what did I do wrong. Find the tangents of the acute angles in the right triangle. Write each answer as a fraction.
The tangents of the acute angles in a right triangle can be calculated by taking the ratio of the side opposite the angle to the side adjacent to the angle.
Explanation:In a right triangle, the tangent of an acute angle is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle. Let's say the acute angles of the right triangle are A and B, and the sides opposite to them are denoted as A and b, respectively. Then, the tangents of the angles A and B can be calculated as:
Tan(A) = a/b
Tan(B) = b/a
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The tangents of the acute angles in the right triangle as a fraction can be expressed as;
[tex]Tan R=\frac{45}{28}[/tex][tex]Tan S=\frac{28}{45}[/tex]What is the tangents of the acute angles?Using trigonometry; Trigonometry is the area of mathematics that deals with particular angle functions and how to use them in computations. In trigonometry, an angle can have six common functions. The terms sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc) are their names and abbreviations.
[tex]Tangent=\frac{opposite}{adjacent}[/tex]
Considering the triangle
[tex]Tan R=\frac{45}{28}[/tex]
[tex]Tan S=\frac{28}{45}[/tex]
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Math is often used to
determine the correct dosage for medications;
create scale drawings;
graph data from scientific investigations.
Given this information, what conclusion can be made about mathematics?
A.
Mathematics can be used in many different kinds of tasks.
B.
Mathematics has no useful applications.
C.
All scientific investigations must use mathematics.
D.
The use of mathematics is limited to only a few situations.
What is the value of x in the equation 2 (x + 3) = 4 (x - 1)?
o 1
o 2
o 3
o 5
please help T.T brainliest & 25 pts. :0
Answer:
5
Step-by-step explanation:
He has a total of $45 to buy t tickets, each tickets cost $5
Answer:
He can buy 9 tickets
is 4.2123417... rational or irrational ?
Answer:
Irrational
Step-by-step explanation:
Any number that can be written as a fraction or a ratio is a rational number. The product of any two rational numbers is therefore a rational number, because it too may be expressed as a fraction. For example, 5/7 and 13/120 are both rational numbers, and their product, 65/840, is also a rational number.
An irrational number is a number that is NOT rational. It cannot be expressed as a fraction with integer values in the numerator and denominator. When an irrational number is expressed in decimal form, it goes on forever without repeating.
Answer:
Irrational
Step-by-step explanation:
It cannot be expressed as a fraction
The expressions below represent either exponential growth or exponential decay. Check all the expressions that represent exponential decay.
5^x
3(0.75)^2t
35(2.4)^x
5000(1.04)^3t
0.05^x
500(0.005)^t
Answer:
Answers B, E and F (1, 5 and 6).
Step-by-step explanation:
In an exponential equation, (y=ab^x), the "b" value must be a decimal less than 1 (but greater than 0) for it to be considered an exponential decay function. Only equations B, E and F have a "b" value that fits this criteria.
Which of the following statements correctly describes the points? The distance between (3, 4) and (3, –7) is 11 units. The distance between (3, 4) and (3, –7) is 3 units. The distance between (4, 3) and (–7, 3) is 10 units. The distance between (4, 3) and (4, –7) is 4 units.
Answer:
The distance between (3, 4) and (3, –7) is 11 units
Step-by-step explanation:
Answer:
The person that answered first is right
Step-by-step explanation:
The greatest common factor of 14 and 38
Answer:
2
Step-by-step explanation:
when you order all their GCF's, going backwards, you can see that both of them are divisible by 2. Hope this helps! If you are still confused please comment!
The greatest common factor of numbers 14 and 38 is 2.
To find the greatest common factor (GCF) of 14 and 38, we can determine the largest positive integer that divides both numbers evenly.
To begin, let's find the factors of each number:
Factors of 14: 1, 2, 7, 14
Factors of 38: 1, 2, 19, 38
The common factors between 14 and 38 are 1 and 2.
However, the greatest common factor, so the GCF is 2.
Therefore, the greatest common factor of 14 and 38 is 2.
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What is the volume of this figure?
Answer:
90 cubic inches
Step-by-step explanation:
Dale drove 315 miles in 5 hours.
At the same rate, how many miles would he drive in 7 hours?
Answer:
441 miles
Step-by-step explanation:
First, find the constant rate of change.
You would do 315/5=63
63 is the constant rate of change
Then, you would multiply.
63x7=441
Answer: 441 miles
441 miles would he drive in 7 hours.
What is division?Division is the process of splitting a number or an amount into equal parts.
Here, we get,
Dale drove 315 miles in 5 hours.
First, find the constant rate of change.
You would do 315/5=63
63 is the constant rate of change
Then, you would multiply.
63x7=441
Answer: 441 miles would he drive in 7 hours.
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Round 6.9824 to the nearest tenth.
Answer:
6.9824 rounded to the nearest tenth is 6.9. But i am pretty sure the correct answer is 7
Step-by-step explanation:
6.9824 rounded to the nearest tenth is 6.99.
To round 6.9824 to the nearest tenth, we look at the hundredth place, which is 8 in this case. Since 8 is greater than or equal to 5, we round the digit in the tenth place up by 1.
So, rounding 6.9824 to the nearest tenth:
1. Identify the hundredth place: 8
2. Since 8 is greater than or equal to 5, we round the digit in the tenth place up by 1.
3. The digit in the tenth place is 9.
4. The number becomes 6.99.
Complete correct question:
Round 6.9824 to the nearest tenth.
on a recent latin quiz, two people scored a 100, three people scored a 90, five people scored an 80, one person scored a 70. find the standard deviation of these scores
Consider the two similar cylinders. The heights of both cylinders are given, along with the diameter of the smaller cylinder. What is the diameter of the larger cylinder?
Figures not drawn to scale
A.
28 inches
B.
20 inches
C.
18 inches
D.
16 inches
Answer:
the answer is C 18 inches
Step-by-step explanation:
first, set up a proportion as such:
32/12 = 48/x
next, cross multiply to get:
576 = 32x
and solve for x:
x = 18
hope this helps
Find the surface area of a rectangular prism with length 7 m, width 5 m, and height 3 m.
WILL DO BRAINLIEST!!!!!!!!
Answer:
142 meters
Step-by-step explanation:
As= 2(lw+lh+wh)
Answer: The surface area is 142m^2
Step-by-step explanation:
-The formula:
[tex]A = 2(wl+hl+hw)[/tex]
-Solve:
[tex]A =[/tex] [tex]2[/tex] [tex](5[/tex] × [tex]7[/tex][tex])[/tex] [tex]+2[/tex] [tex](3[/tex] × [tex]7)[/tex] [tex]+ 2[/tex] [tex](3[/tex] × [tex]5)[/tex]
[tex]A = 10[/tex] × [tex]7 + 6[/tex] × [tex]7 + 6[/tex] × [tex]5[/tex]
[tex]A = 70 + 6[/tex] × [tex]7 +6[/tex] × [tex]5[/tex]
[tex]A = 70 + 42 +6[/tex] × [tex]5[/tex]
[tex]A = 112 + 6[/tex] × [tex]5[/tex]
[tex]A = 112 +30[/tex]
[tex]A = 142[/tex]
Therefore, the surface area of a rectangular prism is [tex]142 m ^2[/tex].
In a recent year, U.S. advertisers spent $60 billion on television advertising. This number made up 40 percent of total advertising. What was the dollar amount spent by U.S. advertisers on all other forms of advertising?
Answer:
The amount spent on all other types of advertising is $90 billion
Step-by-step explanation:
In this question, we are asked to calculate the amount spent on all other forms of advertising given the amount spent on tv advertising and the percentage of the total that it represents.
Firstly, we need to calculate the total amount spent on advertising.
we do not know this amount, so we can call it x.
Now, mathematically;
40% of x = $60 billion
40/100 * x = 60 billion
40x = 100 * 60 billion
x = (100 * 60)/40 = 6000/40 = 150 billion
The amount spent on all other advertising = Total amount spent on advertising- amount spent on television advertising = 150 billion - 60 billion = 90 billion
what’s the answer for this question
Answer:
area = 3.14
Step-by-step explanation:
A = pi * r^2
The radius of this circle is 1.
So pi * 1^2
= pi * 1
in this case it says to use 3.14 as pi
so 3.14 * 1 = 3.14
Which expression is equivalent to (-4y-x)-(3y-9x)?
A) -7y-8x
B) -7y+8x
C) -y-10x
D) y+10x
Answer:B. -7y+8x
Step-by-step explanation:
hope this helps
WILL MARK BRAINLIEST! PLZ HELP ASAP;;;
Answer:
(x, y) = (5, 7)
Step-by-step explanation:
It can be useful to put these equations into standard form, with mutually-prime coefficients and a positive x-coefficient.
10x +y -(4x +4y) = 9 . . . . . subtract the variable terms on the right
6x -3y = 9 . . . simplify
2x -y = 3 . . . . . divide by 3 to put in standard form
__
(x +10y) -(10x +y) = 18 . . . . . subtract the variable terms on the right
-9x +9y = 18 . . . simplify
x -y = -2 . . . . . . . divide by -9 to put in standard form
__
Now, we can subtract the second equation from the first.
(2x -y) -(x -y) = 3 -(-2)
x = 5
y = x+2 = 7 . . . from the second simplified equation
The solution is (x, y) = (5, 7).
A student wants to sign up for a swimming class that charges $5 an hour. His parents are willing to spend up to $100 for swimming
lessons. Write an inequality representing the possible number of hours he could take swimming lessons for.
Answer:
[tex]x\leq 20[/tex]
Step-by-step explanation:
Given:
Charges of one hour swimming class = $5
Maximum amount that parents are willing to spend for swimming = $100
To find: inequality representing the possible number of hours, a student could take swimming lessons
Solution:
An inequality compares two values such that either one value is less than, greater than, or not equal to another value.
Let x represents number of hours spend by a student in swimming class.
As maximum amount that parents are willing to spend for swimming is $100 and charges of one hour swimming class is $5,
[tex]5x\leq 100\\x\leq \frac{100}{5} =20\\x\leq 20[/tex]
3(4x-10)=2(3x-30) i need help again i have to turn in all of my school work tomorrow so i don't fail the 8th grade
Answer:
The result for this equation is [tex]x = -5[/tex] .
Step-by-step explanation:
-Solve the equation:
[tex]3(4x-10)=2(3x-30)[/tex]
-Use Distributive Property:
[tex]3(4x-10)=2(3x-30)[/tex]
[tex]12x - 30=6x - 60[/tex]
-Subtract 6x and from 12x :
[tex]12x - 30 -6x=6x -6x - 60[/tex]
[tex]6x - 30=-60[/tex]
-Add both sides by 30:
[tex]6x - 30 +30=-60 +30[/tex]
[tex]6x =-30[/tex]
-Then, you divide both sides by 6:
[tex]\frac{6x}{6}=\frac{-30}{6}[/tex]
[tex]x = -5[/tex]
So, therefore the answer is [tex]x = -5[/tex] .
Which of the following points of side measurement can form a triangle? (Name Brainliest!!!!)
A.) 8,5 and 9
B) 6,8 and 3
C) 15,8 and 5
D) 3,4 and 5
Quadrilateral BCDE is inscribed in circle A as shown. divides the quadrilateral into two triangles, ∆BCD and ∆BED. Which statement is true about the triangles?
A.
The angle bisectors and the perpendicular bisectors for both triangles intersect at the same point.
B.
The angle bisectors of ∆BCD intersect at the same point as those of ∆BED.
C.
The perpendicular bisectors of ∆BCD intersect at the same point as those of ∆BED.
D.
The angle bisectors of ∆BCD intersect at the same point as the perpendicular bisectors of ∆BED.
The correct option is C: The perpendicular bisectors of ∆BCD intersect at the same point as those of ∆BED.
Given is a quadrilateral BCDE is inscribed in circle A in which BD divides the quadrilateral into two triangles, ∆BCD and ∆BED.
[Refer to the figure attached]
If you draw a perpendicular bisector of a circle's chords, they will meet in the middle.
BCD, BC, CD, and BD are therefore circle chords in the triangle. At point O, the perpendicular bisector of BC, CD, and BD will intersect.
The chords of the circle are BED, BE, ED, and BD in the triangle. All of these chords will intersect at point O on a perpendicular bisector drawn from their points of origin.
Hence, the choice C is correct.
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A suit case is a rectangular prism whose dimensions are 1 and 1/2 feet by 1 and 3/4 feet by 2 and 1/2 feet. Fond the volume of the suitcase. Enter the answer as a mixed number in simplest form.
Answer:
[tex]\frac{105}{16} ft^3[/tex]
Step-by-step explanation:
The suitcase is in the shape of a rectangular prism and we need to find the volume.
The volume of a rectangular prism is given as:
V = L * B * H
where L = length
B = breadth
H = height
The dimensions of the suitcase are [tex]1\frac{1}{2} ft[/tex] by [tex]1 \frac{3}{4} ft[/tex] by [tex]2 \frac{1}{2} ft[/tex]
Therefore, the volume of the suitcase is:
[tex]V = 1\frac{1}{2} * 1 \frac{3}{4} * 2 \frac{1}{2} \\\\V = \frac{3}{2} *\frac{7}{4} *\frac{5}{2} \\\\V = \frac{105}{16} ft^3[/tex]
The volume of the suitcase is [tex]\frac{105}{16} ft^3[/tex]
what is (3.2x10 the 13th power) + (2.5 x 10to the 11th power)
Answer:3.225 times 10 to the 13th power= 32250000000000
Step-by-step explanation:
(3.2•10^13)+(2.5•10^11)
3.2000000000000+2.50000000000
in a necklace there is one blue bead for every four yellow beads there are 15 beads altogether. a) how many blue beads are there? b) how many yellow beads are there? c) how can you check your answer..
Answer:
1) 3 beads
2) 12 beads
3) (4x3)+3=15
Step-by-step explanation:
Answer:
I would say 3 blue 12 yellow in my opinion. Have a great day
Step-by-step explanation:
Is -21 a rational number
-21 is an integer and all integers are rational numbers.
Remember, integers are the set of whole
numbers and their negative counterparts.
Since y generally
as x increases,
x and y have a
Answer: decreases; negative correlation; not
Step-by-step explanation:
Just got it right in the assignment
Answer:
Since y generally
✔ decreases
as x increases,
x and y have a
✔ negative correlation
The number of calories is
✔ not
correlated with the amount of vitamin C.
Step-by-step explanation:
Just took it. Edg 2020. Hope this helps :)
The collection of data points that answer a statistical question is called
A) center
B) distribution
C) shape
D) spread
The correct answer is B) distribution.
A statistical distribution refers to the collection of data points that provide information about how a particular variable is spread or distributed across different values.
In other words, it describes the frequency or likelihood of each possible outcome or observation within a dataset.
Understanding the distribution of data is essential in statistics because it helps us analyze and make predictions about various phenomena. Common types of distributions include the normal distribution, uniform distribution, and exponential distribution, among others.
Statistical distributions are characterized by their center (average or median), shape (how the data is spread out), and spread (how much variation exists within the data).
These three aspects collectively provide valuable insights into the data's overall behavior and are fundamental for statistical analysis and decision-making.
Therefore, when we talk about the collection of data points that answer a statistical question, we are referring to the distribution of the data, which encapsulates important information about its characteristics.
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