Step-by-step explanation:
f(x) = 2x²+ 8x -1
f(6) = 2(6) + 8(6)-1
= 13 + 48 - 1
= 61-1
= 60.
answer anybody?? i can't do math like at all lol
Essentially, what we're looking at here are two alternate interior angles.
Wait. What? Alternate interior angles?
It sounds like some super fancy math jargon, but it's a fairly simple concept that I'll try my best to explain. First, let's look at lines L and M as two parallel lines, meaning that these two are lines with equal slopes, and will never intersect. See that line that goes in between the parallel lines L and M? That's called a transversal. It's basically a line that goes through two parallel lines.
Now we know that there's a transversal going through the parallel lines. So what? Well, there's a couple of special attributes to transversals. See the two angles, 7x-7 and 4x+14? As you can tell, these two angles alternate in the interior space between the transversal and the parallel lines.
Alternate interior angles are equal. There's a way to prove that they're equal, but I won't bore you with the specifics since that's not what the question's asking.
If the angles need to be equal for lines L and M to be parallel, we can make an equation that'll solve for x:
7x - 7 = 4x + 14
Subtract 4x from both sides:
7x - 4 x - 7 = 4x - 4x + 14
3x - 7 = 14
Add 7 to both sides:
3x - 7 + 7 = 14 + 7
3x = 21
Divide both sides by 3 to completely isolate x:
[tex]\frac{3x}{3}[/tex] = [tex]\frac{21}{3}[/tex]
x = 7
And that's our answer! If you need me to explain anything any further, just ask!
- breezyツ
A box contains 1,200 marbles. One-fifth are blue, two-thirds are red, and the rest are white. How many of the marbles are white?
Answer:
7/15
Step-by-step explanation:
2/3. 1/5 3x5 =15 then add 2+5=7 which gets u 7/15
9. Calcule el valor de la fuerza que experimenta un ascensor cuando levanta 150 kg en los siguientes casos: a) Cuando asciende con una aceleración de 4 m/s2 b) Cuando asciende con una aceleración de 6 m/s2 c) Explique: ¿Por qué el ascensor experimenta diferentes aceleraciones si levanta el mismo peso en ambos casos?
Answer:
a) La fuerza neta que experimenta un ascensor cuando asciende con una aceleración de 4 metros por segundo al cuadrado es 600 newtons hacia arriba.
b) La fuerza neta que experimenta un ascensor cuando desciende con una aceleración de 6 metros por segundo al cuadrado es 900 newtons hacia abajo.
c) Por la fuerza de tensión sobre el cable del ascensor.
Step-by-step explanation:
a) La fuerza neta experimentada por el ascensor ([tex]F[/tex]), en newtons, es:
[tex]F = m\cdot a[/tex] (1)
Donde:
[tex]m[/tex] - Masa, en kilogramos.
[tex]a[/tex] - Aceleración, en metros por segundo cuadrado.
Si sabemos que [tex]m = 150\,kg[/tex] y [tex]a = 4\,\frac{m}{s^{2}}[/tex], entonces la fuerza neta del ascensor es:
[tex]F = m\cdot a[/tex]
[tex]F = 600\,N[/tex]
La fuerza neta que experimenta un ascensor cuando asciende con una aceleración de 4 metros por segundo al cuadrado es 600 newtons hacia arriba.
b) Si sabemos que [tex]m = 150\,kg[/tex] y [tex]a = -6\,\frac{m}{s^{2}}[/tex], entonces la fuerza neta del ascensor es:
[tex]F = m\cdot a[/tex]
[tex]F = -900\,N[/tex]
La fuerza neta que experimenta un ascensor cuando desciende con una aceleración de 6 metros por segundo al cuadrado es 900 newtons hacia abajo.
c) De manera simplificada, el ascensor experimenta dos fuerzas que definen la fuerza y aceleración netas: (i) La fuerza de tensión sobre el cable que traslada el ascensor y el peso total del ascensor, opuesta a la anterior y en función de la aceleración gravitacional. Puesto que la masa no varía en ningún caso, se concluye que el peso es constante, entonces la diferencia de valores se debe a la fuerza por tensión del cable. En el descenso, es fuerza es menor que en el ascenso.
[tex]\sqrt[3]{11}[/tex]
Answer:
2.22
Step-by-step explanation:
[tex]\sqrt[3]{11} =2.223980091[/tex]
Rounded to hundredths: 2.22
Can Somebody answer this real fast?
Answer:
The answer is 6
Step-by-step explanation:
...........
es > My H
What do you notice about this segment of the graph?
Bake Stars' Oven Temperature as a function of Time
The line on the graph
slopes up.
Pre
Temperature (°F)
375
350
325
300
275
250
225
200
175
150
125
100
75
50
25
The temperature is
increasing
The segment is linear.
0
10 20 30 40 50
60
70
80 90 100
Prev
Ne
Answer:
The temp is increasing
Step-by-step explanation:
I just did it
61 = m + - 8 what would be m
Answer:
m would be 69!
Step-by-step explanation:
61 = m - 8
61 + 8 = m - 8 + 8
69 = m
Answer: 69
Step-by-step explanation:
61=m+-8
as plus minus equals to minus so its -8
61=m-8
m=61+8
m=69
Convert 48 fluid ounces to cup I need help
Answer:
6 Cups
Step-by-step explanation:
There are 8 fluid ounces in a cup, 48 divided by 8 = 6
find the measure for each angle indicated
Step-by-step explanation:
7. 180 -92 -67 =21. 180-21 = 159
8.180-144 = 36 + 94 = 130 180-130 = 50
Answer:
Step-by-step explanation:
TWO RULES:
⊳ Angles in a triangle add up to 180
⊳ Angles on a straight line also add up to 180
=================================================================
QUESTION 1
92 + 67 + x = 180
x + 159 = 180
x = 21
180 - 21 = 159
? = 159
=================================================================
QUESTION 2
144 + x = 180
x = 36
94 + 36 + ? =180
130 + ? =180
? = 50
=================================================================
! HOPE I HELPED !
1. Jillian and Harold both leave the mall to go home headed in different directions. The angle between their paths towards home is 57(degrees). Harold lives 3.7km from the mall and Jillian lives 2.3km. Determine how far apart these two friends live from each other.
Answer:
ok mlol
Step-by-step explanation:
Please help me with this problem!!
EASY!!!
9 × 3 × (−2) + (−36) ÷ 12 − 1
help ! do you know the answer to this?
Answer:
Step-by-step explanation:
9t = 9 We can't see the entire image, but I assume 9 and the number of ts are of the same length. If this assumption is incorrect, please leave a note.
s s s s s s s s s s s s s s s s s s s ss s s s s s s s s s ss s s s s s s s s s s s s ss s s please help‼️‼️
Answer: Point W is the answer.
Step-by-step explanation:
Answer:
the answer is w
Step-by-step explanation:
x is 2
y is -5.5
Which expression is equivalent to
Answer:
the answer is B 1/x^2
Step-by-step explanation:
Answer:
B) 1/x²
Step-by-step explanation:
The radius of a circle is 18.1 cm. Find the circumference to the nearest tenth.
Answer C=__________
Answer:
C = 113.73 round it to the nearest tenth 114
What is the height, x, of the equilateral triangle?
Given:
The figure of an equilateral triangle with side length 14 in.
To find:
The height x of the equilateral triangle.
Solution:
We know that the height of an equilateral triangle is:
[tex]h=\dfrac{\sqrt{3}}{2}a[/tex]
Where, a is the length of side of the equilateral triangle.
It is given that the height of the triangle is [tex]x[/tex].
Putting [tex]a=14,h=x[/tex] in the above formula, we get
[tex]x=\dfrac{\sqrt{3}}{2}(14)[/tex]
[tex]x=\sqrt{3}(7)[/tex]
[tex]x=7\sqrt{3}[/tex]
Therefore, the height of the triangle is [tex]x=7\sqrt{3}[/tex].
What os 3.6% of 82 and explain plz
2.952
Step-by-step explanation:
First you must convert 3.6% into a decimal which is 0.036 (or move the decimal over twice).
Then multiply 82 by the given decimal
82 x 0.036= 2.952
(round if necessary)
Solve the inequality x + 1 > 5. Then graph the solutions.
Please please please please please please answer question y<-1/3x+2?
Answer:
Please see the attachment, none of the graphs you showed was correct.
Step-by-step explanation:
Hope it helps :)
Is 8.92 less than 9.089?
In Richmond, Chloe ordered $40 worth of sushi. She knew that when the bill came, she would need to pay Richmond sales tax of 5% and would want to leave a 20% tip on the original $40. Including tax and tip, how much did Chloe's meal cost? $
Answer:
$50
Step-by-step explanation:
In Richmond, Chloe ordered $40 worth of sushi. She knew that when the bill came, she would need to pay Richmond sales tax of 5% and would want to leave a 20% tip on the original $40. Including tax and tip, how much did Chloe's meal cost? $
Chole's meal cost
$40 + 5% × $40 + 20% × $40
= $40 + $2 + $8
= $50
An owner of a small store knows that in the last week 54 customers paid with cash, 42 paid with a debit card, and 153 paid with a credit card. Based on the number of customers from last week, which is closest to the probability that the next customer will pay with cash? (Round the answer to the nearest hundredth.)
Answer:
2268
Step-by-step explanation:
Which polygons are similar?
1
2
3
4
Triangle 1 and 4 are similar using AAA
number one and four.......
What is the area of the parallelogram shown below?
Answer:
135 units square
Step-by-step explanation:
The area of a parallelogram is calculated by multplying height and base
The height of the given shape is 15 units and the base is 9 units
15 × 9 = 135 units square.
When a normal six-sided die is rolled, what is the probability of getting a 7?
A. 0
B. 1/2
C. 6/7
D. 7/6
[No Links I need an answer and explanation]
Answer:
0
Step-by-step explanation:
probably 0, because a normal dice has six sides and the greatest number is 6, therefore you cannot roll a 7
Can someone please explain how to solve this? Thanks!
A waiter receives tips from each customer. On
average the tip is 15% of the customer's bill. At this
rate, which of the following is closest to the tip the
waiter can expect when a customer has a bill that is
$78.20
A) $8.00
B) 10.00
C) $12.00
D) $14.00
Answer:
B) 10.00
Step-by-step explanation:
Meredith is playing games at the arcade to earn tickets that she can exchange for a prize. She has 278 tickets from a previous visit, and she earns 5 each game she plays. If Meredith needs 388 tickets to exchange for the prize, how many games does Meredith need to play?
The price of a sweater was reduced from 20 to 12 by what percentage was the price of the sweater reduced
Answer:
40%
Step-by-step explanation:
You subtract 20 from 12 to get 8.
Divide 20 from 8 to get 0.40.