Answer:
24.75 is answer
Step-by-step explanation:
Answer:
That was a good start, but we need the rest of the question.
Step-by-step explanation:
Solve the inequality and express your answer in interval notation.
x2 - 12x + 5 <0
Answer:
([tex]6 - \sqrt{31}[/tex], [tex]6 + \sqrt{31}[/tex])
Step-by-step explanation:
[tex]x^{2}-12x+5 < 0[/tex]
To solve this inequality, we can start by completing the square. To do this, we divide the x coefficient (-12) by 2 and then square it. We then add the result to the left side of the equation. To ensure the inequality remains true, we also subtract it.
[tex]x^{2}-12x+(-6^{2})-(-6^{2}) + 5 < 0\\x^{2}-12x+36-36 + 5 < 0\\[/tex]
We can then express the first trinomial as a perfect square.
[tex](x-6)^{2} - 31 < 0[/tex]
Add 31 to both sides:
[tex](x-6)^{2}< 31[/tex]
Then take the square root of both sides:
[tex]x-6<[/tex] ± [tex]\sqrt{31}[/tex]
Finally, add 6 to both sides:
x < 6 + [tex]\sqrt{31}[/tex]
x > 6 - [tex]\sqrt{31}[/tex]
The solution to the inequality in interval notation is shown by option A
What is inequality?
An inequality in mathematics describes how two expressions relate to one another by indicating whether one expression is greater, smaller, equal to, or not equal to the other. Inequalities are denoted by symbols.
We have to use the quadratic formula that states that;
x < (-b ± √([tex]b^2[/tex] - 4ac)) / 2a
So we have that;
x < [12 ± √([tex](-12)^2[/tex] - 4 * 1 * 5)] / 2 * 1
Thus we would obtain in the end;
6 - √31 < x < 6 + √31
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Is there a proportional relationship between a planet’s diameter and its distance from the sun? Explain.
Answer:
Yes there is a proportional relationship
Step-by-step explanation:
If we look at earth and the sun, the diameter of the sun is 108 times that of the diameter of earth, and the average distance between the earth and sun is 108 times the suns diameter.
9. The height of a triangle is 3 inches less than twice the length of its base. If the total area
of the triangle is 7 square inches, then find the lengths of the base and height.
Check the picture below.
[tex]\textit{area of a triangle}\\ A = \cfrac{1}{2}bh~~ \begin{cases} A = area\\ b = base\\ h = height\\[-0.5em] \hrulefill\\ A = 7\\ h = 2b - 3 \end{cases}\implies 7 = \cfrac{1}{2}b(2b-3)\implies 7=\cfrac{b(2b-3)}{2} \\\\\\ 14 = b(2b-3)\implies 14 = 2b^2-3b\implies 0 = 2b^2-3b-14[/tex]
[tex]0 = (b+2)(2b-7)\implies\blacktriangleright b= \begin{cases} -2\\ \frac{7}{2}~~\textit{\large \checkmark} \end{cases}\blacktriangleleft \\\\\\ \stackrel{\textit{we know that}}{h = 2b - 3}\implies h = 2\left( \frac{7}{2} \right)-3\implies h = 7 - 3\implies \blacktriangleright h = 4 \blacktriangleleft[/tex]
The measure of an angle is 68.2°. What is the measure of its supplementary angle?
Answer:
x = 111.8°
Step-by-step explanation:
Supplementary angles are angles that add up to 180 degrees. Let x be the supplementary angle:
[tex]68.2+x=180\\x=111.8[/tex]
Determine the correct equation for the following verbal sentence:
The ticket price, t, for a concert attended by 220 people equals the total revenue, r, divided by the number of people who attended.
a.
t = StartFraction r Over 220 EndFraction
c.
t = 220r
b.
t = 220 - r
d.
t = 220 + r
Answer:
t =
Given:
The total ticket price =t
Total number of people attended the concert = 350
Total revenue = r
To Find:
The expression for finding the t value
Solution:
The ticket price t =
Substituting the total number of people who attended the concert
t =
Step-by-step explanation:
Hope this helps:)
How many arrangements can be made for the letters in the word TROTTING? In how many of these are N and G next to each other.
Answer:
6720.
1680.
Step-by-step explanation:
There are 3 T's and 5 other distinct letters in this word s
The number of arrangements
= 8! / 3!
= 8*7*6*5*4
= 6720 ways.
If N and G are next to each other we consider it to be 1 letter. Now we can have GN or NG so the answer is
(7!/3!) * 2
= 1680 ways.
Please help me ASAP please olease
Answer:
x=100 degree's
Step-by-step explanation:
Its 100 degrees because you add 80 and 20 degrees and because I think they might be called congruent angles.
Answer:
pretty sure it's just 100, just add 80 and 20, angles are opposite of each other.
7 Convert 34.5 degrees Celsius to
7)
Farenhet using the formula a
1.F
'F=(9 15) ic +32one
b) or
C) 32.05 h
be
d) 94.1
ut
ta) 62.1
Answer:
94.1 °F
Step-by-step explanation:
The formula is ...
F = 9/5C +32
Using 34.5 for C, we get ...
F = 9/5(34.5) +32 = 62.1 +32 = 94.1
34.5 °C = 94.1 °F
For any nonnegative real number a, (a)2 =
=
O A. a2
O B. va
Ос. а
O D. 1
SUBMIT
Answer:
C
Step-by-step explanation:
For example, if a is equal to 2.
[tex] \sqrt{2} {}^{2} = 2[/tex]
The answer is still the given number a.
The solution of the expression √a² is,
⇒ a
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ √a²
Where, 'a' is nonnegative real number.
Now, We can simplify as;
⇒ √a²
⇒ √ a × a
⇒ a
Thus, The solution of the expression √a² is,
⇒ a
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Simply the expression
-2.4f + 0.4f -15-3
Answer:-2.4f + 0.4f -15-3Step-by-step explanation:
Answer:
-1.8f - 19
Step-by-step explanation:
9
10
11
12
13
An international company has 21.100 employees in one country. If this represents 23.9% of the company's employees, how many employees does it have in
total?
ok then I don't understand well but I think its 45.10.00
HELP ME OUT PLEASE!!
For the formula shown, how many sulfur atoms are represented?
O 1
O 2
O 4
O 6
H₂SO₄ is Sulfuric Acid and the number of atoms Sulfur has is 4 atoms
What is a Chemical Formula?
A chemical formula is a formula that lists the constituent parts of a compound together with their relative proportions. No subscript is used if there is just one atom of a certain kind. A subscript is added to the symbol for an atom if it contains two or more of a certain type of atom.
Given data ,
The chemical is represented as H₂SO₄ which is Sulfuric Acid
Sulfuric acid has 2 atoms of Hydrogen , 1 atom of Sulfur and 4 atoms of Oxygen
As per the chemical formula , we can see that there is no subscript added to the Sulfur S in the chemical formula equation.
Therefore , The number of Sulfur atoms present in H₂SO₄ is 1
Hence , H₂SO₄ has only 1 sulfur atom
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Are the triangles similar? Why?
Answer: Yes
Step-by-step explanation: They are similar because it the same kind of triangle just ones smaller and the other is bigger.
3
1) Wendy has 3/5 gallon of milk. She
used 1/8
gallon to make cookies. How
much milk does Wendy have left?
8
a)
T-
WIN
b)
b) io
3
1
19
29
c)
d)
40
40
Answer: 19/40 gallons
Step-by-step explanation:
She has 3/5. She used 1/8. 3/5=24/40 and 1/8 = 5/40.
24/40 - 5/40 = 19/40 gallons
:0 hope it helps
Select all of the following that are quadratic equations. 7x2 + 14x = 0 x3 - 3x2 + 1 = 0 5x - 7 = 0 x2 + 3x -5 = 0 x - 5 = 9x + 7 x2 - x = 3x + 7
Answer:
7x2 + 14x = 0
x2 + 3x -5 = 0
x2 - x = 3x + 7
Step-by-step explanation:
A quadratic equation has the highest power of x to the second power. It must have x to the second power
7x2 + 14x = 0 quadratic
x3 - 3x2 + 1 = 0 not quadratic but cubic
5x - 7 = 0 not quadratic but linear
x2 + 3x -5 = 0 quadratic
x - 5 = 9x + 7 not quadratic but linear
x2 - x = 3x + 7 quadratic
Math experts please simplify this thank you
Answer:
t+4 / t-4
Step-by-step explanation:
(t^2 - 16) / (t^2 -8t +16)
=( t^2 - 4^2) / (t^2 - 2*4*t + 4^2)
by formula a^2 - b^2 = (a+b)(a-b)
= (t+4)(t-4) / (t-4)^2
= (t+4)(t-4) / (t-4)(t-4)
= t+4 / t-4
Last month, Irma’s deliveries consisted of $33,600 in groceries, and she made 140 deliveries of pet supplies. How much does Irma earn in total for the month?
Answer:
If in you little HMH thing it is 4044.8
if y=x^3+3 find the value of y when x=2
Answer:
11
Step-by-step explanation:
Substitute [tex]x=2:[/tex]
[tex]y=x^3+3[/tex]
[tex]y=2^3+3\\ =8+3\\ =11[/tex]
A pattern maker uses 526 yards of muslin cloth each month. The cloth comes on bolts, or rolls, that hold 15 yards each.
How many bolts of muslin cloth does the pattern maker use each month?
Answer: 35.067 or 36, depending on if you need to round or not.
Step-by-step explanation:
The equation for how many bolts the pattern maker needs can be represented as 15x = 526. To find x, divide 526 by 15. 526/15 = 35.067. If you need to, round up to the nearest whole number. 35.067 rounds to 36.
Which equation illustrates the matrix associative property of addition?
Answer:
A expresses the ASSOCIATIVE PROPERTY OF ADDITION.
Step-by-step explanation:
8x-2y=18 3x-y=5 What is the y value of the solution?
Answer:
y = 7
Step-by-step explanation:
8x - 2y = 18
3x - y = 5
the above system of equations can be solved by multiplying the second equation by -2 so the 'y-terms' get eliminated
you can then substitute the value of 'x' into the equation to find the value of 'y'
8x - 2y = 18
+ -6x + 2y = -10
2x = 8
x = 4
3(4) - y = 5
12 - y = 5
-y = -7
divide each side by -1 to get: y = 7
Given: f(x)= 3x-7 for x>0
f(x)=-2x+3 for x<0
Find: f(6)
Answers:
11
-9
-3
-18
Given :
f(x) = 3x-7 , when x>0
and f(x) = -2x+3 x<0
as 6 is greater than 0, we get that :
f(6) = 3(6)-7
=> f(6) = 18-7
=> f(6) = 11
hence, option a) is correct
The value of f(6) is 11 using the equation f(x)= 3x-7.
To find the value of f(6), we need to determine which condition applies to x = 6. Since x = 6 is greater than 0, we will use the equation f(x) = 3x - 7.
Substituting x = 6 into the equation:
f(6) = 3(6) - 7
f(6) = 18 - 7
f(6) = 11
Therefore, the value of f(6) is 11.
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Riley would like to buy a house that is selling for $330,000. The loan requires a 20% down payment. He currently has $5,300 saved, how much more money does Riley need to save for the down payment?
Answer: 1060
Step-by-step explanation:
Solve 25- (6-) A. -31 B-20 C.20 D. 31
Answer:
The answer is 31
Explanation:
25 - (-6) = 31
we have 25 - (-6) = 25 + 6 = 31
so the answer is D
ok done. thank to me :>
the bottom the range has the same numbers so I just need the domain and range help plz!!
Step-by-step explanation:
The domain is set of x-values:
0 ≤ x ≤ 7.5 as both points are inclusiveThe range is set of y-values:
0 ≤ y ≤ 14 as both points are inclusiveFunction or non functional ? Pls help :c
Answer:
none functional
was I right?
Step-by-step explanation:
PLS HELP REWARDING A LOT!!
Answer:
157°
Step-by-step explanation:
Sum of interior angles of polygon
(n-2)*180 ---- n = total number of sides
7 angles, 7 sides
5*180 = 900
final angle will be
900-162-115-125-138-105-98
=157
Answer:
157
Step-by-step explanation:
it is obvious that it's a heptagon
so (n-2) x180
n=7
(7-2) x 180 =900
900-162-115-125-138-105-98
900-743=157
final unknown=157°
The sum of two numbers is 17 and their product is 66 what are the two numbers.
Answer:
11 and 6
Step-by-step explanation:
Let the numbers be X and Y
Then their sum: X+Y=17 equation 1
Product: X×Y=66 equation 2
X+Y=17. X =17-Y
XY=66.
(17-Y)Y=66 -Y²+17Y-66=0
Y=6 or 11
X=17-Y. X=17–6=11 or X=17–11=6
Therefore you can conclude that the numbers are 11&6
Answer:
11 and 6
Step-by-step explanation:
x + y = 17
x × y = 66
First, solve for y
x + y = 17
x + y - x = 17 - x
y = 17 - x
Then substitute y to x × y = 66
x × y = 66
x(17 - x) = 66
17x - [tex]x^{2}[/tex] - 66 = 66 - 66
- [tex]x^{2}[/tex] + 17x - 66 = 0
(- [tex]x^{2}[/tex] + 17x - 66) = 0
(-x + 6)(x - 11) = 0
-x + 6 = 0
-x + x +6 = 0 + x
6 = x or x = 6
x - 11 = 0
x - 11 +11 = 0 + 11
x = 11
Then the numbers are 11 and 6
can someone help me solve this?
Answer:
- 9Step-by-step explanation:
Given:
3q + 4 + 9 = - 14Solving in steps:
3q + 13 = - 143q = - 14 - 133q = - 27q = - 27/3q = - 9[tex]\\ \sf\longmapsto 3q+4+9=-14[/tex]
[tex]\\ \sf\longmapsto 3q+13=-14[/tex]
[tex]\\ \sf\longmapsto 3q=-14-13[/tex]
[tex]\\ \sf\longmapsto 3q=-27[/tex]
[tex]\\ \sf\longmapsto q=-9[/tex]
The fourthgrade students are taking a field trip and need to rent minivans Each minivan will to 8 people There are 135 people going on the trip. How many people will not be able to go if they only rent 16 minivans?
(A) 6 people
(B) 7 people
(C) 8 people
(D) 9 people