Help for 100 points if correct
Saved:-
[tex]\\ \sf\Rrightarrow 2\dfrac{1}{4}-\dfrac{3}{8}[/tex]
[tex]\\ \sf\Rrightarrow \dfrac{9}{4}-\dfrac{3}{8}[/tex]
[tex]\\ \sf\Rrightarrow \dfrac{18-3}{8}[/tex]
[tex]\\ \sf\Rrightarrow \dfrac{15}{8}[/tex]
[tex]\\ \sf\Rrightarrow 1\dfrac{7}{8}[/tex]
Answer:
[tex]\textsf{D)} \quad 1 \dfrac{7}{8}[/tex]
Step-by-step explanation:
Subtract the used volume of punch from the starting volume of punch.
Convert the mixed number to an improper fraction:
[tex]\begin{aligned} \implies 2\frac{1}{4}-\frac{3}{8} & = \dfrac{2 \times 4+1}{4}-\dfrac{3}{8}\\\\ & = \dfrac{9}{4}-\dfrac{3}{8}\end{aligned}[/tex]
Make the denominators of both fractions the same by multiplying the numerator and the denominator of 9/4 by 2:
[tex]\implies \dfrac{9 \times 2}{4 \times 2}-\dfrac{3}{8} = \dfrac{18}{8}-\dfrac{3}{8}[/tex]
[tex]\textsf{Apply the fraction rule} \quad \dfrac{a}{c}-\dfrac{b}{c}=\dfrac{a-b}{c}:[/tex]
[tex]\begin{aligned} \implies \dfrac{18}{8}-\dfrac{3}{8} & = \dfrac{18-3}{8}\\\\ & = \dfrac{15}{8}\end{aligned}[/tex]
Convert back into a mixed number:
[tex]\begin{aligned}\implies \dfrac{15}{8} & = \dfrac{8+7}{8}\\\\ & = \dfrac{8}{8}+\dfrac{7}{8}\\\\ & = 1\dfrac{7}{8}\end{aligned}[/tex]
express the radical using the imaginary unit i
Answer:
[tex]i[/tex][tex]\sqrt{30}[/tex]
Step-by-step explanation:
[tex]\sqrt{-30}[/tex]
= [tex]\sqrt{30 * -1}[/tex]
= [tex]\sqrt{30} * \sqrt{-1}[/tex] Separate the two numbers into 2 radicals.
= [tex]i\sqrt{30}[/tex] Simplify, knowing that [tex]i = \sqrt{-1}[/tex].
Which function has only one x-intercept at (−6, 0)?
f(x) = x(x − 6)
f(x) = (x − 6)(x − 6)
f(x) = (x + 6)(x − 6)
f(x) = (x + 6)(x + 6)
Answer:
D: f(x) = (x+6)(x+6)
Step-by-step explanation:
The function has a multiplicity of 2, meaning the factor appears twice. So, x=-6 will be the only x-intercept.
The value of -2 is_________the value of 1.5 because-2 lies to the__________of 0 and 1.5 lies to the_________of 0 on the number line.
Answer:
The value of -2 is LESS THAN the value of 1.5 because -2 lies to the LEFT of 0 and 1.5 lies to the RIGHT of 0 on the number line
Step-by-step explanation:
HELP. RIGHT NOW PLEASE :>
Simplify
Answer:
√
4
x
5
√
(
x
−
1
)
2
−
3
2
+
3
y
−
3
Step-by-step explanation:
√
4
x
5
√
(
x
−
1
)
2
−
3
2
+
3
y
−
3
the points (2,4) and (6,7) lie on a line. what is the slope of the line?
PLEASE HELPPPP! ANYTHING U CAN ANSWER WOULD BE SOOO GREAT :) (AND NO ITS NOT A VIRUS)
Answer:
but what if it is a virus?
Step-by-step explanation:
Answer:
isnt oit iron pick
Step-by-step explanation:
Determine the slope of the line that passes through pair of points: (-4, 11) and (1,-9)
Answer:
rise/run= -20/5= -4/1=-4 slope
or you sound use the slope formula (y2-y1)/(x2-x1)
(-9-11)/(1+4)
-20/5
-4
Hope this helps
A board isThree boards are placed end to end to make a walkway. The first board is 2 feet 8 inches long, the second board is 6 feet 10 inches long, and the third board is 4 feet 9 inches long. How long is the walkway?
93 inches long. How long is it in feet and inches?
Answer:
wowo
Step-by-step explanation:
moira solved rubik's cube in 3 minutes and 30 seconds. what is moira's solving rate?
In the context of rubiks cube solving the rate at which one can solve a rubiks cube is determined by the number of cubes solved and the time taken
In this question we were told that moira solved a rubiks cube in 3 minutes 30 seconds
Let us convert time total time to seconds
3 minutes 30 in seconds = 3*60+ 30 = 180+30 = 210 seconds
Hence Moira rate = 1 rubiks cube/210 seconds
Learn more about rate:
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The volume of a cylinder is 5401 cubic meters and the height is 15 meters. Find the length of the diameter of the cylinder.
Answer:
12
Step-by-step explanation:
Volume= pi x radius squared x height
substitiute values
540π= π x r^2 x 15
divide 540π by π and 15
so thats 36= radius squared
so the radius is 6 as 6 squared is 36
so the diameter is radius x2
so the answer is 12
a package of 9 batteries cost $4.72 what is the cost per battery
Answer: 1.90
Step-by-step explanation:
9/4.72= 1.90
Answer:
1.90
Step-by-step explanation:
9/4.72= 1.90
Express the following equation in slope intercept form: 8x-2y=10
PLEESSSSSSSSSSSSSE
Answer:
[tex]y2 - y1 \div x2 - x1[/tex]
Quick easy question
Answer:16
Step-by-step explanation:
144^0.5 = 12
400^0.5 = 20
a^2=b^2+c^2
20^2 = 12^2 +x^2
x^2 = 400-144= 256
x =16
Answer:
16
Step-by-step explanation:
Please, Please help ASAP
Answer:
5 is the answer
please mark as brainlist
thank you
Which variable is most important to the following problem?
A tentmaker has 60,000 tents in stock. The Army decides to order 350 tents
for each of its 200 brigades. Will the tentmaker have enough tents in stock?
O A. the price of one tent
O B. the number of tents the Army orders
C. the size of each tent
Answer:
B.) the number of tents the army orders
Step-by-step explanation:
The word problem does not speak of any prices or tent sizes so it cant be A or C
Answer:
its B
Step-by-step explanation:
The Truth Table Represents Statement P,Q,R
Which statement is true for rows A, C and E
R—> (p^q)
R—>(p v q)
(q^r)—>p
(q v r) —>p
Recall that a ⇒ b ≡ ¬a ∨ b.
• r ⇒ (p ∧ q) ≡ ¬r ∨ (p ∧ q)
In row C, q is false so p ∧ q false, and r is true so ¬r is false.
¬r ∨ (p ∧ q) ≡ false ∨ false ≡ false
• r ⇒ (p ∨ q) ≡ ¬r ∨ (p ∨ q) = p ∨ q ∨ ¬r
In each of rows A, C, and E, at least one of p or q is true, so
p ∨ q ∨ ¬r = true
• (q ∧ r) ⇒ p ≡ ¬(q ∧ r) ∨ p ≡ (¬q ∨ ¬ r) ∨ p = p ∨ ¬q ∨ ¬r
In row E, p is false and both q and r are true, so ¬q and ¬r are both false.
false ∨ false ∨ false = false
• (q ∨ r) ⇒ p ≡ ¬(q ∨ r) ∨ p ≡ (¬q ∧ ¬r) ∨ p
In row E, p is false and both q and r are true, so both ¬q and ¬r are false.
(¬q ∧ ¬r) ∨ p ≡ (false ∧ false) ∨ false ≡ false ∨ false ≡ false
Solve: 4|x| = 32
–8 or 8
8
24
no solution
Answer:
-8 or 8
Step-by-step explanation:
We are given the absolute equation:
[tex]\displaystyle \large{4|x|=32}[/tex]
First, divide both sides by 4 which leaves [tex]\displaystyle \large{|x|=8}[/tex]
Absolute Value Definition
[tex]\displaystyle \large{|x|=\begin{cases} x \ \ \ (x\geq 0)\\ -x \ \ \ (x<0) \end{cases}}[/tex]
So from |x| = 8, break into two intervals/conditions.
(1) when x ≥ 0
x = 8
(2) when x < 0
-x = 8
x = -8
From (1) and (2), the solution to 4|x| = 32 is 8 or -8
What are the solutions to the equation ( 5 x − 15 ) 2 = − 100 ?
Answer:
x = -7
Step-by-step explanation:
( 5 x − 15 ) 2 = − 100
10x - 30 = - 100
10x = -70
x = -7
Answer:
x = -7
Step-by-step explanation:
[tex]\left(5x-15\right)\cdot \:2=-100\\\\\frac{\left(5x-15\right)\cdot \:2}{2}=\frac{-100}{2}\\5x-15=-50\\5x-15+15=-50+15\\5x=-35\\\\\frac{5x}{5}=\frac{-35}{5}\\\\x=-7[/tex]
20-5+15(25)=b+3+65(23)
Answer:
-1108
Step-by-step explanation:
Answer:
-b=-1108
Step-by-step explanation:
20-5+375=b+3+1495
-375 -375
20-5=b+3+1420
15=b+1423
-b -b
-b+15=1423
-15 -15
-b=1108
20-5+375=-1108+3+1495
390=390
The terminal side of an angle θ in standard position passes through the point (3, 1). Calculate the exact values of the six trig functions for angle θ.
Answer:
sin α = [tex]\frac{y}{r}[/tex] = [tex]\frac{1}{\sqrt{10} }[/tex]
cos α = [tex]\frac{x}{r}[/tex] = [tex]\frac{3}{\sqrt{10} }[/tex]
tan α = [tex]\frac{y}{x}[/tex] = [tex]\frac{1}{3}[/tex]
cot α = [tex]\frac{x}{y}[/tex] = [tex]\frac{3}{1}[/tex]
sec α = [tex]\frac{r}{x}[/tex] = [tex]\frac{\sqrt{10} }{3}[/tex]
csc α = [tex]\frac{r}{y}[/tex] = [tex]\frac{\sqrt{10} }{1}[/tex]
Step-by-step explanation:
If the point is given on the terminal side of an angle, then:
Calculate the distance between the point given and the origin:
r = [tex]\sqrt{x^2+y^2}[/tex]
Here it is: [tex]\sqrt{3^2+1^2}[/tex] = [tex]\sqrt{9+1}[/tex] = [tex]\sqrt{10}[/tex]
So we have:
x = 3
y = 1
r = [tex]\sqrt{10}[/tex]
Now we can calculate all 6 trig, functions:
sin α = [tex]\frac{y}{r}[/tex] = [tex]\frac{1}{\sqrt{10} }[/tex]
cos α = [tex]\frac{x}{r}[/tex] = [tex]\frac{3}{\sqrt{10} }[/tex]
tan α = [tex]\frac{y}{x}[/tex] = [tex]\frac{1}{3}[/tex]
cot α = [tex]\frac{x}{y}[/tex] = [tex]\frac{3}{1}[/tex]
sec α = [tex]\frac{r}{x}[/tex] = [tex]\frac{\sqrt{10} }{3}[/tex]
csc α = [tex]\frac{r}{y}[/tex] = [tex]\frac{\sqrt{10} }{1}[/tex]
solve for x 12+6x/3= 5-9/2
Answer: I hope this helps! :)
x = -3
rearrange terms: 6x+12/3 = 5-9/2subtract the numbers: 6x+12/3 = -4/2eliinate fractions denominators: 3 times 6x+12/3 = 3(-2)simplify fractions: 6x+12/3 = -2eliinate fractions denominators: 3 times 6x+12/3 = 3(-2)multiplt the numbers: 6x + 12 = -6subtract 12 from both sides of the equation: 6x + 12-12 = -6-12simplify: 6x = -18divide both sides of the equation by the same factor: 6x/6 = -18/6x = -3Answer: x=-3
Answer:
[tex]x = -3[/tex]Step-by-step explanation:
[tex]\frac{12 + 6x}{3} = \frac{5 - 9}{2}[/tex]=> [tex]2(12 + 6x) = 3(5 - 9)[/tex]=> [tex]24 + 12x = 15 - 27[/tex]=> [tex]24 + 12x = -12[/tex]=> [tex]24 + 12 = -12x[/tex]=> [tex]36 = -12x[/tex]=> [tex]x = -3[/tex]Conclusion:
Therefore, x = -3
Hoped this helped.
[tex]GeniusUser[/tex]
jonathan sells clothes and makes a 4% commission. On sunday, jonathan sold $768 worth of clothes. How much was his commission on his sunday?
Answer:
768x4%= 30.72
His commission was $30.72
Step-by-step explanation:
Work out and simplify where possible 3 x 5/11 12 x 3/4
[tex]3 \times \frac{5}{11} [/tex]
turns into
[tex] \frac{3}{1} \times \frac{5}{11} = \frac{15}{11} = 1 \frac{4}{11} [/tex]
[tex]12 \times \frac{3}{4} = \frac{12}{1} \times \frac{3}{4} = \frac{36}{4} = 9[/tex]
Because 36 goes into 4 nine times.
what is equivalent to the following expression:
2(- a + 5) – 3 (a + 5b-2)+b (6-a)
From the information given, it can be inferred that the expansion of the equation will be 5a - 9b + 16 - ab.
= 2(- a + 5) – 3 (a + 5b-2)+b (6-a)
We've to expand the functions and this will be:
= -2a + 10 - 3a - 15b + 6 + 6b - ab
Collect like terms
= - 2a - 3a - 15b + 6b + 10 + 6 - ab
= -5a - 9b + 16 - ab
Therefore, the expression is equivalent to 5a - 9b + 16 - ab.
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How do i Multiply and divide integers? please answer quick if possible ♀️
Answer
To multiply integers, simply multiply the unsigned numbers and place the sign on the product by repeating the above rules.
To divide unsigned integers, we divide the unsigned numeric values and put a minus sign on the result.
Which of the following polynomial functions is graphed below? OA. f(x) = (x - 2) ^ 2 * (x + 3) * (x - 1) O B. f(x) = (x + 2) ^ 2 * (x - 3) * (x + 1) O. f(x) = (x + 5) * (x + 1) ^ 2 * (x - 1) D. f(x) = (x - 5) * (x - 1) ^ 2 * (x - 1)
The function of the polynomial is (b) [tex]f(x) = (x + 2) ^ 2 * (x - 3) * (x + 1)[/tex]
From the graph, we have the following highlights
The graph crosses the x-axis at x = -1 and x = 3The graph touches the x-axis at x = -2The above highlights mean that:
The function has a multiplicity of 1 at x = -1 and x = 3The function has a multiplicity of 2 at x = -2So, the function of the polynomial is:
[tex]f(x) =a(x + 2)^2(x + 1)(x - 3)[/tex]
Assume a = 1.
So, we have:
[tex]f(x) =1(x + 2)^2(x + 1)(x - 3)[/tex]
Multiply
[tex]f(x) =(x + 2)^2(x + 1)(x - 3)[/tex]
Hence, the function of the polynomial is (b) [tex]f(x) = (x + 2) ^ 2 * (x - 3) * (x + 1)[/tex]
Read more about polynomial graphs at:
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is it a. b. c. or d.
I may be wrong, but im pretty sure its C
Answer:
I might be wrong but I think it is B. or A.
Step-by-step explanation:
find the perimeter and area?
Answer:
P = 51 units
A = 137 units^2
Step-by-step explanation:
P = 5+5+7+11+7+16 = 51 units
A = 5x5 + 16x7 = 137 units^2
Hope that helps
How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!
Answer:
1, 2, 10 i think this is correct
Answer:
1210Step-by-step explanation:
You answer the question by understanding what the problem statement is telling you.
The double number line shows that 2 1/2 bananas make 1 loaf of bread.
The first blank is filled with 1.
__
You notice the number of bananas on the second line of the table is double the number on the first line: 5 = 2 × (2 1/2). That means the number of loaves that can be made is 2 × 1 = 2.
The second blank is filled with 2.
__
You notice the number of loaves on the third line of the table is double the number of loaves you just filled in on the second line. That means the number of bananas required is double the number listed on the second line.
2 × 5 = 10
The third blank is filled with 10.