−4[−2(7−10)−15]2(−1)
Answer:
-72
Step-by-step explanation:
You first solve what's inside the parenthesis.
(7-10) = -3
(-2(-3)-15)= -9
-4(-9)(2)(-1)= -72
Therefore, the answer is -72.
Hope it helped!
Consider the line y=7x-5. Find the equation of the line that is perpendicular to this line and passes through the point (-8, -6). Find the equation of the this line that is parallel to the point (-8, -6).
Answer:
Equation is y = -1/7x - 50/7 or y = -1/7x - 7 1/7
Step-by-step explanation:
Perpendicular lines slopes are negative reciprocals of each other.
y = 7x - 5 This equation slope = 7 because the slope is the coefficient of the x-term.
The line that is perpendicular will have a slope of -1/7 ( the negative reciprocal of 7)
Next to find the value of "b" using y = mx + b and slope of -1/7 and point (-8, -6).
y = mx + b
-6 = -1/7(-8) + b
-6 = 8/7 + b
-6 - 8/7 = b
-50/7 = b
Equation is y = -1/7x - 50/7 or y = -1/7x - 7 1/7
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
[tex]\begin{array}{|c|ll}\cline{1-1}slope-intercept~form\\\cline{1-1}\\y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}}\\\\\cline{1-1}\end{array}~\hspace{10em} y = \stackrel{\stackrel{m}{\downarrow }}{7}x - 5\\\\[-0.35em]~\dotfill[/tex]
[tex]\stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}}{\stackrel{slope}{7\to \cfrac{7}{1}}\qquad \qquad \qquad \stackrel{reciprocal}{\cfrac{1}{7}}\qquad \stackrel{negative~reciprocal}{-\cfrac{1}{7}}}[/tex]
so we know that it has a slope of -1/7 and passed through (-8,-6)
[tex](\stackrel{x_1}{-8}~,~\stackrel{y_1}{-6}) ~\hspace{10em} \stackrel{slope}{m}\implies - \cfrac{1}{7} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-6)}=\stackrel{m}{-\cfrac{1}{7}}[x-\stackrel{x_1}{(-8)}] \implies y+6=-\cfrac{1}{7}(x+8) \\\\\\ y+6=-\cfrac{1}{7}x-\cfrac{8}{7}\implies y=-\cfrac{1}{7}x-\cfrac{8}{7}-6\implies ~\hfill y=-\cfrac{1}{7}x-\cfrac{50}{7}[/tex]
A right circular cylinder has a surface area of 66π. If the height of the cylinder is 8, find the diameter of the base.
Answer:
6
Step-by-step explanation:
h = 8
Surface area = 66π
2πr(r +h) = 66π
2πr(r + 8) = 66π
[tex]r(r + 8) =\dfrac{66\pi }{2\pi }[/tex]
r² + 8r = 33
r² + 8r - 33 = 0
r² + 11r - 3r - 33 = 0
r(r + 11) - 3(r + 11) = 0
(r +11 ) (r - 3) = 0
r - 3 = 0 {Ignore r = -11 as radius will not have negative value}
r = 3
Diameter = 3*2 = 6 units
please help me outtt
Answer:
2/9
2 to 9
Step-by-step explanation:
PLEASE HELP ITS DUE NOW!!!!!!
WILL MARK BRAINLIEST!!!!!
Answer:
answer is in the image
Step-by-step explanation:
hope you have a great day i hope its the answer
Record the prime factorization of 720 using exponents
Answer:
20
Step-by-step explanation:Because thats the last two digets
The prime factorization of 720 using exponents is 2⁴×3²×5.
The given number is 720.
Prime factorization is a way of expressing a number as a product of its prime factors. A prime number is a number that has exactly two factors, 1 and the number itself.
The factors of 720 are
720 = 2×2×2×2×3×3×5
Exponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself.
Now, 2×2×2×2×3×3×5 = 2⁴×3²×5
Therefore, the prime factorization of 720 using exponents is 2⁴×3²×5.
Learn more about the prime factorisation here:
https://brainly.com/question/27194245.
#SPJ4
Which system of inequalities is shown?
Answer:
Option C
Step-by-step explanation:
from the graph: y<4
so option A and B are wrong.
also if we choose any points in the area, always x will be bigger than y. so x>y
Can you please tell me if this is correct ?
Answer:
(6*3) - 5
Step-by-step explanation:
The product of 6 & 3 = 6*3 = 18
5 less than 18 means the required number is 5 units smaller than 18. so you have to subtract from 18
18 - 5 = 13
13 is 5 less than 18
I will Make Brainliest ! Plz solve those 5 Question on the Picture.
Answer:
[tex]y = {x}^{2} - 2x \\ (i) y= {3}^{2} - 2(3) = 9 - 6 = 3 \\ (ii)see \: the \: attached \: graph \\ (iv) {( \times - 1)}^{2} - 1 = 0 \\ (iii)x = 1 \rightarrow \: y = - 1\rightarrow(1,-1)[/tex]
[tex](v) \: the \: interval \: 3 - 1[/tex]
When you need to convert from one system of measurement to another, you should convert to the a) system that will have the highest number. b) system that will have the smallest number. c) system used on the medication label. d) metric system.
A rectangular garden is 15 feet wide. Its length is 8 feet more than twice the width. What is the area of the garden?
Could someone please help me?
Mary mixes 11/12oz of red paint with 1 3/4oz of white paint.
How many ounces of paint does Mary mix?
Answer:
2 8/12 or simplified it is 2 2/3.
rewrite 4x plus 2y equals 6 in slope intercept form.
Answer:y=-2x+3
Step-by-step explanation:
help pls and ty! i will give brainliest to the correct answer
Answer: 24km
Step-by-step explanation:
given 1cm : 8km
distance between cafe and restaurant upply store= 3cm
Real distance = 3x8 =24 km
no link or bot answer right
Answer:
1/6^8
Step-by-step explanation:
the answer is the one right next to the submit answer
Part A
Suppose a rocket is being launched into outer space. On its way up, several different forces act on the rocket. One of these forces, thrust, is
applied by the rocket's engines.
The rocket's engines apply a constant upward force to a rocket on its way to outer space. In the absence of other forces, the upward force on the
rocket would cause it to accelerate up at a constant rate of a meters/second.
Still ignoring any other forces, the height of the rocket can be expressed as a function of the time elapsed in seconds after the launch, t. This
function, ft), is equal to half the product of the rocket's acceleration and the square of the time after launch. Write the equation for ft).
The speed of the rocket is able to increase with time in the upward
direction because the rocket has an upward acceleration.
[tex]\displaystyle \mathrm{The \ function \ that \ gives \ the \ height \ of \ the rocket \ is \ }\underline{f(t) = \frac{1}{2} \cdot a \cdot t^2}[/tex]Reasons:
The acceleration of the rocket = a
According to Newton's Law of motion, the height reached by the rocket with time can be found by the formula;
[tex]\displaystyle f(t) = u \cdot t - \frac{1}{2} \cdot a \cdot t^2[/tex]
Where;
u = The initial velocity of the rocket = 0
Which gives;
[tex]\displaystyle f(t) = 0 \times t - \frac{1}{2} \cdot a \cdot t^2 = \mathbf{ \frac{1}{2} \cdot a \cdot t^2}[/tex]
[tex]\displaystyle \underline{The \ height \ of \ the \ rocket, \ f(t) = \frac{1}{2} \cdot a \cdot t^2}[/tex]Learn more here:
https://brainly.com/question/3069698
Find the value of the letters in the photo
Answer:
a = 98
b = 82
c = 58
d = 122
Step-by-step explanation:
Ok so I tried to find b first since that was the easiest.
The other side from b is going to be 98 because of the vertical angles theorem, and adding 98 with b will be 180 because of supplementary angles.
180-98=b
82=b
I looked for letter a next. I used the alternate interior angles with letter a and the other side of b. Alternate interior angles always equal each other so therefore the opposite from letter a is 82. 180-82=98
C is 58 from an interior angles theorem I learned a year ago and forgot (sorry. hmm i think its called corresponding angles theorem)
And letter D is found by taking the vertical angle from C and giving it the value of 58 since C is also 58. Now we know that the other side from d is 58 and adding 58 with d will get us 180 since they are both supplementary angles.
d+58=180
d=122
Sorry for my sketchy explanation I learned this a year ago and I don't remember the names of the explanations well
Answer:
a = 98° , b = 82°, c = 58° , d = 122°
Step-by-step explanation:
a and 98° are corresponding angles and are congruent , so
a = 98°
a and b are same- side interior angles and sum to 180° , that is
b + 98° = 180° ( subtract 98° from both sides )
b = 82°
c and 58° are corresponding angles and are congruent , so
c = 58°
c and d are adjacent angles on a straight line and sum to 180°
d + 58° = 180° ( subtract 58° from both sides )
d = 122°
what is the order biggest to least.
6/40 -4 3/4 -9/20
Answer:
.15, -.45, -4.75
Step-by-step explanation:
put all of them into a ti84 calculator and convert to decimals and then you get your answer.
Answer:
6/40, > -9/20, > -4 3/4
because positive numbers are greater, and the smaller the negative number, the greater it is.
30 is 60% of
I need an explanation
Answer:
50
Step-by-step explanation:
x=30/0.6 = 50
Answer:
50
Step-by-step explanation:
30÷60=0.5
0.5×100=50
you can reverse it so
50÷100 is 0.5
so 1 percent of 50 is 0.5
so 60 percent of 50 is 30
0.5×60=30
Convert 0.86 into a fraction and reduce the answer to lowest terms
Answer:
43/50
Step-by-step explanation:
Answer:
43\50
Step-by-step explanation:
Convert to a mixed number by placing the numbers to the right of the decimal point over 100. Reduce the fraction
n = 3:
– 3 and 4 + 2 i are zeros:
f(- 1) = 58
Answer:
de eitcukqrncjakgkciwitjfuqjrjcjwjtjfkwjtkckskrkchakrjfnrjcjdnsnfncdn
Scale: 1cm represents 100km
Answer: 2cm represents 200km
3cm represents 300km
Step-by-step explanation:
I do not see the question
Find the equation for g
Answer:
Ti lah 13435364646166161611646646767676797979494
Your weekly paycheck is 15 percent less than your coworker's. Your two paychecks total
$815. Find the amount of each paycheck.
Your coworker's paycheck = $
Your paycheck = $
Answer:
Step-by-step explanation:
100% - 15% = 85% = 0.85
2 × ( 0.85x ) = 815
x = $479.41 ( coworker's paycheck )
479.41 × 0.85 = 407.5
Your paycheck = $407.50
-
I need help please
[tex]x = 7 - p\implies x + p = 7\implies \boxed{p = 7 - x} \\\\[-0.35em] ~\dotfill\\\\ y = 3p+4\implies y = 3(7-x)+4\implies y = 21-3x+4\implies \blacktriangleright y = 25 - 3x\blacktriangleleft[/tex]
Pls answer questions 1-4 on this pic
(must include the math work)
i will give brainlist for the most helpful answer
#1
Breadth=
[tex]\\ \sf\longmapsto 1\dfrac{3}{4}in=\dfrac{7}{4}in=7(2)ft=14ft[/tex]
Length=
[tex]\\ \sf\longmapsto 1in=8ft[/tex]
#2.
Length=
[tex]\\ \sf\longmapsto 2\dfrac{1}{4}in=\dfrac{9}{4}in=9(2)=18ft[/tex]
Breadth=
[tex]\\ \sf\longmapsto 2in=16ft[/tex]
#3
Length(Left side)
[tex]\\ \sf\longmapsto 2\dfrac{1}{4}+1+2\dfrac{3}{4}=\dfrac{9}{4}+1+\dfrac{11}{4}=6in=6(4)=24ft[/tex]
Length (right side)
[tex]\\ \sf\longmapsto 1\dfrac{3}{4}+2+3\dfrac{1}{4}=6in=24ft[/tex]
Breadth
[tex]\\ \sf\longmapsto 1\dfrac{3}{4}+2\dfrac{1}{4}4in=16ft[/tex]
Done
___________
[tex]\:[/tex]
Answer in the picture.
it takes Cynthia 12 hours to proof a chapter of Hawkes Learning Systems' Intermediate Algebra book and it takes Phillip 3 hours. How long would it take them working together? (Round your answer to two decimal places.)
Please helpp!! best answer gets brainliest
Answer:
the answer is B and C, because B equals .57 and C is .666 continuous
Answer:
C
Step-by-step explanation:
Turn everything into a fraction (round if needed)
4/7 = 0.571
A. 2/5 = 0.4 (0.4 < 0.57) since 0.4 is smaller than 0.57, it’s not A.
B. 0.57 (0.57 < 0.571) 0.56 is less than 0.571, so the answer could not be B.
C. 2/3 = 0.67 (0.67 > 0.57) 0.67 is greater than 0.571, meaning the answer could be C.
Need help with these two problems