Answer:
The missing exponent is 0
Step-by-step explanation:
The reason is because there is no x at the end of the equation. This means that x must have been 0 for it to not be there.
Gene has a gasoline budget of $275 per month. He uses an average of $6 of gasoline each day he drives. Which of the following equations represents how much money is left in his gasoline budget after x days of driving?
A.
y = 275 - 6x
B.
y = 275 + 6x
C.
y = 6x - 275
D.
y = 275x - 6
1) Find the missing side length.
A) 1
B) 2
C) 3
D) 4
© USATestprep, LLC 2021
Answer:
2
Step-by-step explanation:
Let x be such that 2x = 5. Find 8x.
y=−4x−3 y=−2x+1 ( Ignore this part i had to write it)
Answer:
Solve equation [2] for the variable y
[2] y = -2x + 1
// Plug this in for variable y in equation [1]
[1] (-2x+1) + 4x = -3
[1] 2x = -4
// Solve equation [1] for the variable x
[1] 2x = - 4
[1] x = - 2
// By now we know this much :
y = -2x+1
x = -2
// Use the x value to solve for y
y = -2(-2)+1 = 5
Solution :
{y,x} = {5,-2}
The symbol ⊕ is used to denote exclusive or, so p ⊕ q ≡ (p v q) ^ ~ (p ^ q).
a) simplify the statement p ⊕ p.
b) Show that p ⊕ q ≡ ~ (p ↔ q) without using a truth table.
So how would this be done?
I'll use text forms of the logical symbols because copying/pasting on mobile is annoying.
⊕ = XOR
∨ = OR
∧ = AND
~ = NOT
↔ = IFF (meaning "if and only if")
→ = IMP (short for "implies")
and for logical equivalence I'll use a regular equal sign.
Then
p XOR q = (p OR q) AND NOT (p AND q)
(a) By definition of XOR, we have
p XOR p = (p OR p) AND NOT (p AND p)
= p AND NOT p
and this is tautologically FALSE.
(b) To rewrite XOR, first distribute the NOT over the AND using DeMorgan's law:
NOT (p AND q) = NOT p OR NOT q
Then we can interchange the AND and ORs using their respective distributive properties. That is,
p XOR q = (p OR q) AND (NOT p OR NOT q)
= (p AND (NOT p OR NOT q)) OR (q AND (NOT p OR NOT q))
= ((p AND NOT p) OR (p AND NOT q)) OR ((q AND NOT p) OR (q AND NOT q))
Both (p AND NOT p) and (q AND NOT q) are tautologically FALSE, so the truth value of either OR depends only on the other statements, so we have
p XOR q = (p AND NOT q) OR (q AND NOT p)
Recall the definition of IFF:
p IFF q = (p IMP q) AND (q IMP p)
Also recall that IMP is logically equivalent to
p IMP q = p OR NOT q
Then we have
p IFF q = (p OR NOT q) AND (q OR NOT p)
so that its negation is
NOT (p IFF q) = NOT ((p OR NOT q) AND (q OR NOT p))
= NOT (p OR NOT q) OR NOT (q OR NOT p)
= (NOT p AND q) OR (NOT q AND p)
The statements in bold match, so p XOR q is indeed equivalent to NOT (p IFF q).
What is the value of x ?
Answer:
x = 57°
Step-by-step explanation:
x + 123 = 180
=> x = 57°
Hoped this helped.
Can someone please help me I will mark u brilliant
.A person climbs to the top of a mountain at the rate of 1.5 kilometers per hour and down the same way at a rate of
4.5 kilometers per hour. If he is gone for 6 hours, how far did he travel from camp to the top of the mountain?
Answer:
he traveled 9Km
Step-by-step explanation:1.5 x 6
Is there a proportional relationship between the area and radius of a circle?
Answer:
is this free choice?
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
Since A=pi x r2 There is a proportional relationship .
please please please help
urgently needed!!
Answer:
Ф = 19.80 °
Step-by-step explanation:
by using pythagoras theorem
h² = p² + b²
13² = 5² + b ²
b = √194
b = 13.93
now
tanФ = p/b
Ф = tan¬1( 5 / 13.93)
Ф = 19.80 °
Translate: 5 less than a number is 20.
Answer:
x-5 = 20
x = 25
Step-by-step explanation:
If it's five less than a number and it equals 20, you would add 20 to 5 and get 25, but to make it as an equation, you would do x - 5 = 20.
10. 120 days to months
a. 2mos.
b.3mos
C.4 mos
D. 5 mos
Answer:
About 4 months give or take
Step-by-step explanation:
Answer:
C. 4 months
Step-by-step explanation:
In order to find what is the equivalent number of months in 120 days, we can apply the following methods:
Since there are 30 days in one month, then we can establish the following proportion statement in colon form:
30 days: 1 month = 120 days : x months
The expression of proportion in colon form, (a : b = c : d):
a and d represent the extremes, b and c are the means.We could also establish the proportion statement in fraction form (ratio):
[tex]\large \mathsf {\frac{30\:days}{1\:month}\:=\:\frac{120\:days}{x\:months}}[/tex]
Then, use the Cross-product property, which involves the multiplication of extremes and the means:
30 days × x months = 1 month × 120 days
30x = 120
Then, divide both sides by 30 to solve for the value of x:
[tex]\large\sf{\frac{30x}{30}\:=\:\frac{120}{30}}[/tex]
x = 4
Therefore, there are 4 months in 120 days, making Option C as the correct answer.
A person consuming 1600 calories a day and 92 grams of this is fat what would be the percentage of this would the division be 92x4 368÷1600 getting an answer of 0.23 I'm I doing this correctly
Answer:
i think ur on the right path
Step-by-step explanation:
if it is looking for the percent it would be 23%
Evaluate the equation 15d = -105
Answer:
Step-by-step explanation:
15d = -105
15d/15 = -105/15
d = -7
15d = -105
d = -105/15
d = -7
____
RainbowSalt2222 ☔
23/24 as a decimal rounded to the nearest hundredth
Answer:
95.80
Step-by-step explanation:
hope I helped BESTIEE
Answer:
Step-by-step explanation:
23/24 as a decimal is 0.95833333333333.
Which function below has the lowest y intercept?
pls help with this pls
Answer:
9:17
Step-by-step explanation:
18 + 16 = total # of students = 34
18:34
9:17
Hope this helps!
The length of a rectangular garden is 17 feet longer than its width. If the area of the garden is 308 square feet, what are the dimensions of the garden?
A) First, write a quadratic equation in the from
aw^2+bw+c=0
you can solve to answer the question given. Let w be the width of the garden.
Use the variable w
B) Factor your equation from part [a] into the form
Answer: The factored equation is
C)Use your factored equation to find the length and width of the
feet.
Answer:
A) w^2 +17w -308 = 0
B) (w -11)(w +28) = 0
C) length: 28 ft; width: 11 ft.
Step-by-step explanation:
A)If w is used to represent the width of the garden, then its length is w+17, and the relation to area is ...
w(w +17) = 308
w^2 +17w -308 = 0 . . . . the desired quadratic equation
__
B)The equation can be factored as ...
(w -11)(w +28) = 0 . . . . . the factored equation
__
C)The positive solution for w in the factored equation is w = 11. Then the length of the garden is ...
w +17 = 11 +17 = 28
The length and width of the garden are 28 feet and 11 feet, respectively.
Alejandra waited for the bus last Tuesday.
A) Alejandra esperaste el bus el martes pasado.
B) Alejandra esperé el bus el martes pasado.
C) Alejandra esperásteis el bus el martes pasado.
D) Alejandra esperó el bus el martes pasado.
Answer:
- Alejandra esperó el autobús el martes pasado.
- El martes pasado Alejandra esperó el autobús
Step-by-step explanation:
Answer: - Alejandra esperó el autobús el martes pasado.
Step-by-step explanation:
Expand and simplify (2x − 2)(x + 4)
-
Answer:
=2x^2+6x-8
Step-by-step explanation:
Click on the solution set graphic until the correct one is displayed.
Answer:
empty set
Step-by-step explanation:
Answer: { } or empty set
the choses are:
{ } or empty set
{ infinite set of points on like}
{ point in quadrant I }
Sarah's art gallery purchased a statue at the wholesale price of $375. Sarah marked up the price 25%. What was the list
price of the statue?
Answer:
468.75Dollars
Step-by-step explanation:
If you add 93 dollars
Jeremy has 10 socks. 6 of the socks are red 2 of the socks are blue 2 of the socks are green Jeremy takes at random two of the socks. Work out the probability that he takes two socks of the same colour.
ATQ
[tex]\\ \sf\longmapsto R+B+G=10[/tex]
[tex]\\ \sf\longmapsto 6+2+2=10[/tex]
Divide all by 2[tex]\\ \sf\longmapsto 4+1+1=5[/tex]
Now
R'=4B'=1G'=1Two of same colour so we need P(R')
[tex]\\ \sf\longmapsto P(R')=\dfrac{|R|}{|S|}[/tex]
[tex]\\ \sf\longmapsto \dfrac{4}{10}[/tex]
[tex]\\ \sf\longmapsto 0.4[/tex]
x = 68°, find the measures of angles 1, 2, and 3.
Answer:
[tex] < 1 = 112 \degree\\ < 2 = 68 \degree \: \\ < 3 = 112 \degree[/tex]
Step-by-step explanation:
As the vertically opposite angles are equal,
[tex]x = < 2 \\ x = 68 \\ so \\ < 2 = 68 \degree[/tex]
As the angles in a straight line is added up to 180°
[tex] < 1 + < 2 = 180 \\ < 1 + 68 = 180 \\ < 1 = 112 \degree[/tex]
Also,
[tex] < 2 + < 3 = 180 \\ 68 + < 3 = 180 \\ < 3 = 112 \degree[/tex]
Hope this helps you.
Let me know if you have any other questions:-)
When a whole number is multiplied by 10 to the power of 4 how does the placement of the decimal point change
9514 1404 393
Answer:
The decimal point moves 4 places to the right
Step-by-step explanation:
Take a simple case using the whole number 3.
3. — whole number we're starting with
3.×10^4 = 3.×10,000 = 30,000. — multiplied by 10^4
The decimal point moves 4 places to the right.
_____
Additional comment
Multiplying be a positive power of 10 moves the decimal point a number of places equal to that power. Effectively, the number of zeros added on the right is equal to the power of 10. Above, you will notice multiplying by 10^4 added 4 zeros to the right of the number.
52080 divided 15
52,080÷15
Answer:
3472
Step-by-step explanation:
Write the equation of the line that passes through the points (-6,1) and (-2,5). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Slope:-
[tex]\\ \sf\longmapsto m=\dfrac{5-1}{-2+6}=\dfrac{4}{4}=1[/tex]
Point-Slope form
[tex]\\ \sf\longmapsto y-y_1=m(x-x_1)[/tex]
[tex]\\ \sf\longmapsto y-1=1(x+6)[/tex]
[tex]\\ \sf\longmapsto y-1=x+6[/tex]
[tex]\\ \sf\longmapsto x-y+7=0[/tex]
I need help solving the problem
Answer:
a) 16-x=x+4
add x to both sides
16=2x+4
subtract 4 from both sides
12=2x
divide both sides by 2
x=6
b) (8-x)-5=2
add 5 to both sides
8-x=7
add x to both sides
8=7+x
subtract 7 from both sides
x=1
c) 4+x=x+4
subtract 4 from both sides
x=x
x belongs to all real numbers.
Answer:
A) 16-x=x+4
+x +x
-----------------
16=2x+4
-4 -4
--------------
12=2x
---- ---
2 2
x=6
D)6 (x=6)
B) (8-x)-5=2
8-x-5=2
Combine like terms (8-5)
3-x=2
-3 -3
-----------
-1x=-1
-- --
-1 -1
B=1
x-1 so your answer is 1
C) 4+x=4+x
From telling there is going to be no solution but still solve it
4+x=4+x
-4 -4
---------------
0+x=x
-x -x
--------------
0=0x
-- ---
0 0
B is your answer (X=0)
Hope this helped :D
2. If a= 2, b= 3 and c= 3,evaluate: i) a+ 2b ii) a+b+c
Answer:
[tex]i)a + 2b = 2 + 2(3) = 2 + 6 = 8 \\ ii)a + b + c = 2 + 3 + 3 = 2 + 6 = 8[/tex]
Answer:
a = 2, b = 3 and c = 3
i.)a + 2b
2 + 2(3) = 2 + 6 = 8
ii.)a + b + c
2 + 3 + 3 = 8
Thus, The answer of i.) is 8 and ii.) is 8
-TheUnknownScientist 72
Camilla's Burgers cooks its burgers either well done or medium. Last night the restaurant served 75 burgers in all, 45 of which were well done. What percentage of the burgers were well done? Write your answer using a percent sign (%).
Answer:
60%
Step-by-step explanation:
number well done/total burgers cooked ×100
45/75 × 100
4500/7500
60%
Check: Total × 60% = 75 ×.60 = 45 well done