Rewrite (7x−2) 2 (7x-2) 2 as (7x−2) (7x−2) (7x-2) (7x-2).
(7x−2) (7x−2) (7x-2) (7x-2)
Expand (7x−2)(7x−2)(7x-2)(7x-2) using the FOIL Method.
Apply the distributive property.
7x (7x−2) −2 (7x−2) 7x (7x-2)-2 (7x-2)
Apply the distributive property.
7x(7x)+7x⋅−2−2(7x−2)7x (7x)+7x⋅-2-2(7x-2)
Apply the distributive property.
7x(7x)+7x⋅−2−2(7x)−2⋅−27x(7x)+7x⋅-2-2(7x)-2⋅-2
Simplify and combine like terms.
Simplify each term.
Multiply xx by xx.
7⋅7x2+7x⋅−2−2(7x)−2⋅−27⋅7x2+7x⋅-2-2(7x)-2⋅-2
Multiply 77 by 77.
49x2+7x⋅−2−2(7x)−2⋅−249x2+7x⋅-2-2(7x)-2⋅-2
Multiply −2-2 by 77.
49x2−14x−2(7x)−2⋅−249x2-14x-2(7x)-2⋅-2
Multiply 77 by −2-2.
49x2−14x−14x−2⋅−249x2-14x-14x-2⋅-2
Multiply −2-2 by −2-2.
49x2−14x−14x+449x2-14x-14x+4
Subtract 14x14x from −14x-14x.
49x2−28x+4
10x + 5y = -5 and y= -2x + 6
slope 1st line
slope 2nd line
Type of Lines
Answer:
-2 , -2, parallel
Step-by-step explanation:
same slope, different y intercept, parallel
You go to dinner with your family. The bill before tax is $60.00. How much is your bill when 7.25% tax added on?
What is the next fraction in this sequence? Simplify your answer. 4 5 , 2 3 , 8 15 , 2 5 , ...
Answer:
4/15
Step-by-step explanation:
To simplify this question, to make it easier to be solved, we try and make sure that all the fractions have the same denominator. This is done by saying
4/5
2/3
8/15
2/5
From the aforelisted numbers, the highest denominator is 15, and thus, we try to make all the denominators 15
4/5 * 3/3 = 12/15
2/3 * 5/5 = 10/15
8/15 * 1/1 = 8/15
2/5 * 3/3 = 6/15
I multiplied it that way, so that it's decimal value doesn't change, even as it gives us the required fraction.
From the new crop of fractions, we have
12/15
10/15
8/15
6/15
If there's anything, we can tell that the sequence is reducing in a -2/15 rate, and thus, our next sequence has to be 4/15
Please help!!!!!!!!!!!!!!!!!!!!
Answer:
b is 100
Step-by-step explanation:
Answer:
Average is 100
Median is 87.5
Step-by-step explanation:
For average you add up all numbers and divide by how many there are, in this case all numbers added together equals 600, then you divide by 6.
For median, you put the valuse from least to greatest and find the number in the middle, for these numbers, there are 2, 75 and 100, so you add those together and divide them by 2.
I don’t understand this problem
Answer: 20
Step-by-step explanation:
a^2=b^2 - c^2. i think i could be wrong
if y=3 sin (-4x), find dy/dx
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the derivatives.
Hence, y = 3 sin(-4x), we use the chain rule here.
dy/dx =3 ( cos(-4x).-4)
====> dy/dx = -12 cos(-4x)
The hypotenuse of a 30 -60 -90 triangle is 13cm. What is the length of the shorter leg?
Answer:
(13/2) cm
Step-by-step explanation:
The hypotenuse here is of length 13 cm. The shorter leg lies opposite to the 30° angle. Recall that the sine function is defined as
opposite side
sin Ф = -----------------------
hypotenuse
which, in this case, works out to:
opposite side
sin 30° = -----------------------
13 cm
and so the length of the opposite side (which is also the "shorter leg") is
shorter leg length = (13 cm)(sin 30°) = (13 cm)(1/2) = (13/2) cm
length and breadth of a cuboid are 13 cm and 8 cm respectively if the volume of a cube it is 40 cm find the height of the cubiod
Answer:
Height of cuboid = 0.384 cm (Approx.)
Step-by-step explanation:
Given:
Length of cuboid = 13 cm
Width of cuboid = 8 cm
Volume of cuboid = 40 cm³
Find:
Height of cuboid
Computation:
Volume of cuboid = length x width x height
13 x 8 x Height of cuboid = 40
Height of cuboid = 0.384 cm (Approx.)
PLEASE HELP!!!!! 50 POINTS!!!! REAL ANSWERS ONLY!!!!!! PLEASE HELP!!!!!! I NEED TO GET THIS DONE
finding angle measures with trig. Find the missing angle measures. Round to the nearest whole number
Answer:
#1
30° as opposite side is half of the hypotenuse#2
7/16 = tan xx = arctan (7/16) = 24°#3
31/50 = tan xx = arctan (31/50) = 32°#4
5/7 = cos xx = arccos (5/7) = 44°#5
4/14 = sin xx = arcsin (4/14) = 17°#6
6/7 = cos xx = arccos (6/7) = 31°#7
29/37 = tan xx = arctan (29/37) = 38°#8
43/60 = sin xx = arcsin (43/60) = 46°#9
32/44 = cos xx = arccos (32/44) = 43°Answer:
let angle be x
Step-by-step explanation:
relationship between perpendicular and hypotenuse is given by sin anglesin x =p/h
sin x=13/26
x=sin-¹(13/26)=30°
2.relationship between perpendicular and base is given by tan angle
tan x =p/b
tan x =7/16
x=tan -¹(7/16)=23.63°
3.relationship between between perpendicular and base is given by tan angle
tan x =p/b
tanx=31/50
x=tan-¹(31/50)=31.8°
4.relationship between base and hypotenuse is given by cos angle
cos x =b/h
cos x=5/7
x=cos-1(5/7)=44.4°
5.relationship between perpendicular and hypotenuse is given by sin angle
sin x =p/h
sin x=4/14
x=sin-¹(4/14)=16.6
6..relationship between base and hypotenuse is given by cos angle
cos x=6/7
x=cos-¹(6/7)=31.0027
7.relationship between perpendicular and base is given by tan angle
.tanx=29/37
x=tan-¹(29/37)=38.09
8.relationship between perpendicular and hypotenuse is given by sin angle
.sin x=43/60
x=sin-¹(43/60)=45.78
9..relationship between base and hypotenuse is given by cos angle
cos x=32/44
x=cos-¹(32/44)=43.34
Can you guys help me with this please it suppose to use the synthetic substitution or the remainder theorem.
9514 1404 393
Answer:
(b) -36
Step-by-step explanation:
Synthetic division is often performed using a table of the kind shown in the attachment. The coefficients of f(x) are placed across the top, and the x-value to be evaluated is placed at the left. The rule for finding table entries is shown. (The first (left-most) number at the bottom is the leading coefficient of the polynomial.)
This table shows the remainder, which is f(-2), is -36.
__
The equation itself can be rewritten in "Horner form" to facilitate evaluation.
f(x) = (((-x +2)x -1)x +4)x +8
In this form, substituting for x and doing the evaluation is easier for mental arithmetic. You will notice that the contents of parentheses at each level match the bottom line of the synthetic division table.
f(-2) = (((-(-2) +2)(-2) -1)(-2) +4)(-2) +8
= (((4)(-2) -1)(-2) +4)(-2) +8
= ((-9)(-2) +4)(-2) +8
= (22)(-2) +8
= -36
f(-2) = -36 . . . . remainder from synthetic substitution
HELPPPPP FAST PLEASEEEEEEEEEEEE
Answer:
45?
Step-by-step explanation:
What is the midpoint between -9 and 15 on the number line?
12
2
3
6
No troll answers again, I just need help
Answer:
x= 16
Step-by-step explanation:
here!hope this helps
Answer:
10[tex]\sqrt{3}[/tex], or 17.32050
Step-by-step explanation:
please answer and explain if you can
Answer:
no s e
s
Step-by-step explanation:
Answer:
its b and i don't know if you can see the screenshot
Step-by-step explanation:
Can someone help me with this ASAP please I’m being timed
Answer:
false
Step-by-step explanation:
This is because the ones that most likely have a computer are going to play and the ones that dont arent going to play.
In a mathematics class, half of the students scored 55 on an achievement test. With the exception of a few students who scored 72, the remaining students scored 60. Which of the following statements is true about the distribution of scores?
A. The mean and the median are the same.
B. The mean is greater than the median.
C. The mean is less than the mode.
D. The mean is less than the median.
Answer: B
Step-by-step explanation: Trust me
Mean (Average) 62.333333333333
Median 60
oWhat can I say execpt your welcome
The mean is greater than the median.
Option (B) is correct.
To find the statements is true.
What is statistics?A branch of mathematics dealing with the collection, analysis, interpretation, and presentation of masses of numerical data.
Half the students scored 55.
The next highest score is 60. So the median is (55+60) / 2 = 57.5.
A few students scored 72, so the mean is slightly greater than the mean of 55 and 60.
Therefore, the mean is greater than the median.
Learn more about statistics here:
https://brainly.com/question/22613249
#SPJ2
The figure is not drawn to scale. PQ and MN are straight lines.
Find ZZ
helpppp
Write the equation for a line in Slope-Intercept Form (y = mx +b) given the two points below (2,10) (3,-5)
Given:
The two end points of a line are (2,10) and (3,-5).
To find:
The equation of the line in the slope intercept form.
Solution:
The slope intercept form of a line is
[tex]y=mx+b[/tex]
Where, m is slope and b is the y-intercept.
The two end points of a line are (2,10) and (3,-5). So, the equation of the line is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-10=\dfrac{-5-10}{3-2}(x-2)[/tex]
[tex]y-10=\dfrac{-15}{1}(x-2)[/tex]
[tex]y-10=-15(x-2)[/tex]
On further simplification, we get
[tex]y-10=-15x+30[/tex]
[tex]y=-15x+30+10[/tex]
[tex]y=-15x+40[/tex]
Therefore, the slope intercept form of the given line is [tex]y=-15x+40[/tex].
Ethan once heard that wearing colorful socks helped release your positive energy toward others. Being the scientist that he is, he decided to put the claim to the test by running a well-designed study. He had 18 people wearing colorful socks at an auditorium where the rest of the people were wearing white socks. After carefully designing, collecting, and analyzing his data, he found no statistically significant difference between his sample of 18 participants and the rest of the population he studied regarding positive energy. What should Ethan conclude regarding the null hypothesis
Answer:
The answer is "Choice A".
Step-by-step explanation:
Please find the complete question in the attachment file.
Throughout this question by acceptance of its zero hypotheses becomes equal to "the failure to accept the zero hypotheses." Its best answer is to refuse the null hypothesis or conclude how he had no effects on vibrant socks mostly on basis of this study, that's why the above given choice is correct.
Find the values of x and y so that GHJK is a dart. Be sure to show all work .
Answer:
Step-by-step explanation:
In dart, adjacent sides are equal
JK = GK
3x - 9 = x + 13 {Add 9 to both sides}
3x = x + 13 + 9
3x = x + 22 {Subtract 'x' from both sides}
3x -x = 22
2x = 22 {Divide both sides by 2}
x = 22/2
x = 11
JH = GH
9y = 5y + 8 {Subtract 5y from both sides}
9y - 5y = 8
4y = 8 {Divide both sides by 4}
y = 8/4
y = 2
Hi can you please help I’ve been stuck on this question
9514 1404 393
Answer:
20 meters
Step-by-step explanation:
Using the formula for the area of a rectangle, fill in the given information and solve for the unknown.
A = LW . . . . . . . . area is length × width
80 m² = L·(4 m)
(80 m²)/(4 m) = L = 20 m . . . . . . . divide by 4m (the coefficient of L)
The tarp is 20 meters long.
If two cylinders have the same base, and one cylinder has a height of 4 inches and a volume of 120 cubic inches, and the second cyclinder has 7 inches what's the volume of the second cylinder
Answer:
210 cubic inches
Step-by-step explanation:
The volume V of a cylinder is given as
V = πr^2h where r is the base radius and h is the height
If two cylinders have the same base, then their radii are the same
Given that one cylinder has a height of 4 inches and a volume of 120 cubic inches then
120 = πr^2 * 4
Divide both sides by 4
30 = πr^2
Given that the second cylinder has a height of 7 inches then the volume
V = πr^2 * 7
Recall that 30 = πr^2
V = 30* 7
= 210 cubic inches
PLEASE HELP THIS IS AN EMERGENCY!! Given f(x) = 3x2 - 6x + k, and the
remainder when f (x) is divided by X – 1
is 1, then what is the value of k?
Answer:
The values of
k are
(-4,2)
Step-by-step explanation:
sorry if wrong
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answer:
Its 268.08 hope this helps
Step-by-step explanation:
The correct answer and volume to this is 268.08 CM
For ABC, let c = 600 ft, m angle B = 50° and then m angle A =30° Then a= ft. Round to nearest whole number.
Answer: 305 ft
Step-by-step explanation:
Given
[tex]\angle A=30^{\circ}[/tex]
[tex]\angle B=50^{\circ}[/tex]
[tex]c=600\ ft[/tex]
From the angle sum property of the triangle, we can write
[tex]\Rightarrow \angle A+\angle B+\angle C=180^{\circ}\\\Rightarrow \angle C=180^{\circ}-30^{\circ}-50^{\circ}\\\Rightarrow \angle C=100^{\circ}[/tex]
Now using Sine law i.e.
[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]
[tex]\Rightarrow \dfrac{a}{\sin 30^{\circ}}=\dfrac{600}{\sin 100^{\circ}}\\\\\Rightarrow a=600\times \dfrac{\sin 30^{\circ}}{\sin 100^{\circ}}=600\times 0.5077\\\\\Rightarrow a=304.62\ ft\approx 305\ ft[/tex]
don't know it is complicated
Este curso nuestro instituto tiene 473 alumnos. Si nos dicen que respecto al curso anterior se ha producido un aumento de inscripciones del 10 %, ¿cuántos alumnos había el curso anterior?
Answer:
En el curso anterior había 430 alumnos.
Step-by-step explanation:
El curso tiene 473 alumnos. Nos dicen que respecto al curso anterior se ha producido un aumento de inscripciones del 10 %. Entonces, siendo x la cantidad de alumnos que había en el curso anterior, se puede plantear la ecuación:
x + 0.1*x= 473
Resolviendo se obtiene:
1.1*x=473
x= 473 ÷1.1
x= 430
En el curso anterior había 430 alumnos.
The height of a ball t seconds after it's thrown into the air
from the top of a building can be modeled by h(t) = -16t? +
48t + 64, where h(t) is height in feet. How high does the
ball rise before starting to drop downward?
48 ft
O 100 ft
O 116 ft
O 64 ft
Answer:
The first one is: H=-6 and t=0
The second one is:16x(3t+4)
And i think the answer is:116
Step-by-step explanation:
Correct me if i'm wrong
How are you really? 100 points, Be honest.
Answer:
Why are you wasting your points? LOL XD
Step-by-step explanation:
Answer:
Good
Step-by-step explanation:
Resolver para u.
10u= bu + 20
Simplificar la respuesta tanto como sea posible.
U =
.
.
x 5 ?
PLEASE HELP SOON!
Simplify the inequalities and match them with the graphs that represent them.
(look at the screen shot)
Answers:
Graph A matches with 7x < 42Graph B matches with x+1 < 8Graph C matches with 3x > 15Graph D matches with 2x > 12===================================================
Explanation:
For each inequality given, we need to isolate x. We'll solve for x in pretty much the same way we solve an equation. So if we wanted to solve 2x = 12, we would divide both sides by 2 to get x = 6.
Similarly, solving 2x > 12 would lead to x > 6. The inequality sign does not flip. It only flips if you divide both sides by a negative number.
The graph of x > 6 has an open hole at 6 and shading to the right. So that matches with graph D.
---------------------
Solving 7x < 42 leads to x < 6 when we divide both sides by 7. The graph has the open hole at the same endpoint of 6, but now the shading is to the left. This shows all values smaller than 6. Therefore 7x < 42 matches with graph A.
---------------------
We have 3x > 15 match with graph C because that inequality is the same as x > 5, after we divide both sides by 3. We have an open hole at 5 and shading to the right.
---------------------
Lastly, the inequality x+1 < 8 solves to x < 7. We'll have an open hole at 7 and shading to the left. This describes graph B.
Any time you see an open hole, it means "do not include this value as part of the solution set". For instance, with x < 7, we have x = 7 as the open hole. This is because 7 < 7 is a false statement. A number cannot be smaller than itself.