Answer:
slope is Δy/Δx =
-5/1 = -5
the B intercept is 4
y = -5x + 4
Step-by-step explanation:
PLEASE HELP!!! The length, width, and height of a right rectangular prism are doubled. What will be the effect on the volume of the prism?
Answer:
The volume is multiplied by 8.
Step by step explanation:
Let the length equal l, the width equal w, and the height equal h for the original rectangular prism.
The volume of a right rectangular prism with length l, width w, and height h is V=lwh.
Therefore, the volume of the original prism is lwh.
The new rectangular prism has dimensions that are twice those of the original rectangular prism: the length equals 2l, the width equals 2w, and the height equals 2h.
To calculate the volume of the rectangular prism, substitute the doubled values into the formula for the volume of a rectangular prism.
V=2l·2w·2h
Simplify.
V=8lwh
The new volume is 8lwh.
If the length, width, and height of a right rectangular prism are doubled, the volume is multiplied by 8.
Therefore, the new volume is the original volume multiplied by 8.
I need help ASAP!! PLEASE EXPLAIN YOUR ANSWER
Answer:
Step-by-step explanation:
Help please............./..
Answer:
D
Step-by-step explanation:
HELP FAST PLEASE!!! NEED ANSWER IN LESS THAN 10 MINUTES!! WILL GIVE BRAINLIEST!!
1. Compute -2 to the power of -3 × -3 to the power of -2.
2. Compute 2^10 x 2^8 x 2^6 x 2^4 x 2^2 x 2^-1 x 2^-3 x 2^-5 x 2^-7 x 2x-9.
3. Compute 2^16 x 4^-8 x 8^4 x 16^-2
TYSM for your help!!
1. (-(2^(-3)))*(-(3^(-2.)))=0.01388888888
2. -294912
3. 16
Y'ALL PLEASE HELP ME I WOULD GREATLY APPRECIATE IT!!!!!:)!!!!!!
Find the measure of angle TOS in the figure below. SHOW YOUR WORK SO I CAN SEE HOW YoU GOT IT!!!!
Step-by-step explanation:
<TOS=122° [being vertically opposite angle]
Answer:
angleTOS =122°
EXPLANATION:
[ If two straight lines intersect at point O, vertically opposite angles are equal]As vertically opposite angles are equal; Hence AngleTOS=QOR=122°
The circumference of a circle is 17pi ft. what is the area, in square feet?
Answer:
72.25 pi ft^2
Step-by-step explanation:
The circumference of a circle is
C = 2*pi*r
17 pi = 2*pi*r
Divide each side by 2pi
17 pi / 2pi = 2 pi r / 2pi
17/2 = r
We want to find the area
A = pi r^2
A = pi ( 17/2) ^2
A =289/4 pi ft^2
A = 72.25 pi ft^2
On a piece of paper, graph y= see pic
Answer:
a
Step-by-step explanation:
assuming theyre asking you to graph y = (x-2)(x+3) -cant see the signs in your photo
the x-intercepts would be 2 and -3 , so option a!
Find the indicated side of the
right triangle.
45°
y
6
45
Х
y = [?] /
Answer:
hello dear...
see first of all there's a thm type thing
'' sides opposite to equal angles are equal ''
so here 45 degrees in both sides are equal which leads us that opposite sides are equal as well
so x = 6
now we got value of 2 sides, both are 6 and now applying pythogarus as it is right angle
6^2 + 6^2 = y^2
36+36 = y^2
72 = y^2
y = √72
y = √36*2
y = 6√2
brainliest plssss <33
The table below shows the estimated number of customers that are subscribed to a streaming service between 2013 and 2017. The equation y=95,000(1.2)x describes the curve of best fit for the subscribed customers (y). Let x represent the number of years since 2013.
Year Subscribed Customers
2013 95,000
2014 114,000
2015 136,800
2016 164,160
2017 196,992
Using this equation, what is the approximate predicted number of subscribed customers in the year 2025?
A
236,390
B
847,030
C
1,016,435
D
1,368,000
Answer:
B847,030
Step-by-step explanation:
y=95,000(1.2)^x
2025 - 2013 = 12
y=95,000(1.2)^12
y=847029.54258
3x + 5 = x - 3
What is the solution to this equation? Show all the steps you used to solve this equation.
Answer:
x = -4
Step-by-step explanation:
3x + 5 = x - 3
Subtract x from each side
3x+5-x = x-3-x
2x+5 = -3
Subtract 5 from each side
2x+5-5 = -3-5
2x = -8
Divide each side by 2
2x/2 = -8/2
x = -4
[tex]\frac{3^4}{3^2}[/tex]
Simplify.
Answer:
[tex]9[/tex]
Step-by-step explanation:
Recall the exponent property [tex]\frac{a^b}{a^c}=(a)^{b-c}[/tex].
Therefore, simplify:
[tex]\frac{3^4}{3^2}=3^{4-2}=3^2=\boxed{9}[/tex]
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]9[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Calculating the Answer...}}\\\\\frac{3^4}{3^2}\\------------\\\text{Keep in mind: } \frac{m^a}{m^b} = m ^{a-b}\\\\\rightarrow \frac{3^4}{3^2}\\\\\rightarrow 3^{4-2}\\\\\rightarrow 3^2\\\\\rightarrow 3 * 3\\\\\rightarrow \boxed{9}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!! EASY IM JUST NOT SMART
PLEASE GIVE EXPLANATION
Answer:
C
Step-by-step explanation:
solve the equation 3(17x-6.5)=108
a. x=-1.5
b. x=2
c. x=2.5
d. x=5.2
Answer:
C
Step-by-step explanation:
3(17x-6.5) =108
=17x-6.5=36
=17x =36 +6.5
= 17x=42.4
=x =2.5
Answer:
x= 2.5
Step-by-step explanation:
3(17x-6.5)=108
Divide each side by 3
3/3(17x-6.5)=108/3
17x - 6.5 = 36
Add 6.5 to each side
17x-6.5+6.5=36+6.5
17x = 42.5
Divide by 17
17x/17 = 42.5/17
x= 2.5
In January, the average temperature t hours after midnight in Mumbai, India, is given by:
T(t)=24.5-5.5sin((2pi(t+1))/24)
What is the coldest time of day in Mumbai? give an exact answer
The coldest time of day in Mumbai is 5 hours after midnight.
Since the average temperature t hours after midnight in Mumbai, India, is given by:
T(t)=24.5-5.5sin((2pi(t+1))/24)
We have that
T(t) = 24.5 - 5.5sin((2π(t+1))/24)
The coldest time of day is when T(t) is minimum.
T(t) is minimum when 5.5sin((2π(t+1))/24) is minimum where t is the coldest time of day at minimum temperature, T(t).
Since for a sine function, -1 ≤ sinФ ≤ 1, the minimum value of sinФ = -1.
So, T(t) = 24.5 - 5.5sin((2π(t+1))/24) is minimum when
5.5sin((2π(t+1))/24) is minimum.
Also, -5.5sin((2π(t+1))/24) = 5.5 × -1 at minimum temperature T(t)
So, 5.5 × -1 = 5.5 × -sin((2π(t+1))/24)
So, -sin((2π(t+1))/24) = -1
sin((2π(t+1))/24) = 1
Taking inverse sine of both sides, we have
sin⁻¹sin((2π(t+1))/24) = sin⁻¹(1)
((2π(t+1))/24) = π/2
Multiplying both sides by 24, we have
(2π(t+1))/24 × 24 = π/2 × 24
(2π(t+1)) = 12π
Dividing both sides by 2π, we have
2π(t+1)/2π = 12π/2π
t + 1 = 6
t = 6 - 1
t = 5 hours
So, the coldest time of day in Mumbai is 5 hours after midnight.
Learn more about average temperature here:
https://brainly.com/question/19388300
plz plz solve this.
Step-by-step explanation:
Disclaimer: When writing this on the paper use the theta symbol, I'm using x since I'm on mobile.
2.
i).
[tex] \sin(x) \tan(x) \sec(x) = \tan {}^{2} (x) [/tex]
[tex] \sin(x) \sec(x) \tan(x) = \tan {}^{2} (x) [/tex]
[tex] \sin(x) \frac{1}{ \cos(x) } \tan(x) = \tan {}^{2} (x) [/tex]
[tex] \frac{ \sin(x) }{ \cos(x) } \tan(x) = \tan {}^{2} (x) [/tex]
[tex] \tan( x) ) \tan(x) = \tan {}^{2} (x) [/tex]
[tex] \tan {}^{2} (x) = \tan {}^{2} (x) [/tex]
iii).
[tex] \sec {}^{2} (x) (1 - \sin {}^{2} ( x ) ) = 1[/tex]
[tex] \sec {}^{2} (x) ( \cos {}^{2} (x) ) = 1[/tex]
[tex] \frac{1}{ \cos {}^{2} (x) } \cos {}^{2} (x) = 1[/tex]
[tex]1 = 1[/tex]
v).
[tex] \cot {}^{2} (a) - \cos {}^{2} (a) = \cot {}^{2} (a) \cos {}^{2} (a) [/tex]
[tex] \frac{ \cos{}^{2} (x) }{ \sin {}^{2} (x) ) } - \cos {}^{2} (x) [/tex]
Factor out cosine
[tex] \cos {}^{2} (x) ( \frac{1}{ \sin {}^{2} (x) } - 1) [/tex]
Simplify
[tex] \cos {}^{2} (x) ( \frac{1 - \sin {}^{2} (x) }{ \sin(x) } [/tex]
[tex] \cos {}^{2} (x( \frac{ \cos {}^{2} (x) }{ \sin {}^{2} (x) } ) = [/tex]
[tex]( \cos {}^{2} ( x ) ( \cot {}^{2} (x) )[/tex]
What quadratic formula do I need to use to solve 3x(x+6)=-1
Answer:
[tex]\Large \boxed{x_1=\frac{9+\sqrt{51} }{3} \ \ ; \ \ x_2=\frac{9-\sqrt{51} }{3} }[/tex]
Step-by-step explanation:
[tex]\displaystyle \Large \boldsymbol{} 3x(x+6)=-10 \\\\3x^2+18x=-10 \\\\3x^2+18x+10=0 \\\\D=324-120=204 \\\\ x_{1;2}=\frac{18\pm2\sqrt{51} }{6} =\frac{9\pm\sqrt{51} }{3}[/tex]
Algebra 1 need help ASAP
Answer:
Step 1: 12-2a=3a-18
Step 2: 12-5a=-18
Step 3: -5a=-30
Step 4: a=6
I hope this helps!
pls ❤ and give brainliest pls
At Tubman Middle School, there are 6 English teachers and 5 science teachers. If each
student takes one English class and one science class how many possible combinations of
teachers are there?
There are 30 possible combinations of teachers.
Given that at Tubman Middle School, there are 6 English teachers and 5 science teachers, to determine, if each student takes one English class and one science class, how many possible combinations of teachers are there, the following calculation must be performed:
To calculate possible combinations, the number of options A must be multiplied by the number of options B. Thus, the calculation would be as follows.
6 x 5 = X30 = XTherefore, there are 30 possible combinations of teachers.
Learn more about combinations in https://brainly.com/question/24180105.
Instructions: Find the missing side of the triangle.
30
х
50
X=
Answer:
x = 40
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
x² + 30² = 50²
x² + 900 = 2500 ( subtract 900 from both sides )
x² = 1600 ( take the square root of both sides )
x = [tex]\sqrt{1600}[/tex] = 40
In a right triangle ∠A = 32° with an adjacent side of 44 what is the length of the opposite side, x?
Answer: About 27.49
Step-by-step explanation:
You use the laws of tangent within a triangle to find x:
[tex]tan(32)=\frac{opposite}{adjacent}= \frac{x}{44}\\ \\x=44*tan(32)=27.49425...[/tex]
4x+1+8-x+5x-2=23 linear equations
Step-by-step explanation:
= 4x-x+5x+1+8-2
=8x+7
proved##
The area CA) of a Parallelogram is found by using this formula A = BH What is the area when b is 7cm and h is 3cm?
Answer:
Area of parallelogram = 21
Step-by-step explanation:
A = BH
Plug in
A = 7×3
Solve
A = 21
The answer will be 21.
The area of a square field is 1 17/64 m2. What is the perimeter of the square field? Can some1 say this ans fast pls
Answer:
5.41 m
Step-by-step explanation:
First, let's find a side length by taking the square root of the area.
117/64 ^ 1/2 = 1.352...
Next, we need to multiply by 4.
1.352... x 4 = 5.408...
= approximately 5.41
Can somone help me pls
Answer:
Step-by-step explanation:
Given f(x) = - 3/4x + 2, find f(16).
Answer:
-10
Step-by-step explanation:
Topic: Differential Calculus; limit of a function
Answer:
umm answer is 3 i think is this right?
0
super easy question, will mark brainliest if the answer is correct
a water container is 1/8 full. 35 litres if water are now poured into the container. The container is now 3/4 full.
When the container is full, how much water does it hold?
Answer:
56 litres
Step-by-step explanation:
let x be the amount when the container is full.
1/8x + 35 = 3/4x
-5/8x = -35
x = 56
One angle of a rhombus measures 108°, and the shorter diagonal is 9 inches long. Approximately how long is the side of the rhombus?
Answer:
8 inches
Step-by-step explanation:
A rhombus is a four sides quadrilateral with the four sides equal in length
A rhombus has 4 equal sides and the diagonal bisect at right angles
Adjacent sides = 9/2 = 4.5
we are to determine the value of the hypotenuse given the adjacent side and angle (108/2) = 54
Cos 54 = adjacent / hypotenuse
0.58778 = 4.5 / hypotenuse
hypotenuse = 4.5 / 0.58778
=7.6559
= 8 inches
What is the value of r?
Answer:
r = 11
Step-by-step explanation:
Hi there!
This scenario represents a linear relation, given the equation [tex]m=rp+k[/tex].
Linear equations are typically written in the form [tex]y=mx+b[/tex], where m is the slope and b is the y-intercept. As you can see, [tex]y=mx+b[/tex] and the given equation [tex]m=rp+k[/tex] share the same form.
This makes r the slope. This is also stated in the question, as r is the amount of money ($) paid per page.
The ordered pairs in the table represents points on a graph, if we were to graph this. For example, (9, 308) and (12, 341) both fall on the graph of this relation.
To solve for r, we must solve for the slope using the slope equation:
[tex]r=\displaystyle \frac{y_2-y_1}{x_2-x_1}[/tex] where two points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex].
We can use any two points from the table in this equation. For example, (9, 308) and (12, 341):
[tex]r=\displaystyle \frac{341-308}{12-9}\\\\r=\displaystyle \frac{33}{3}\\\\r=11[/tex]
Therefore, the value of r is 11.
I hope this helps!
Simplifying Please Help!
Answer: C. 6x+18
Step-by-step explanation:
Use the distributive property
First multiply 6 times x which is 6x
Then multiply 6 times 3 which is 18
Keep the sign the same
Therefore, this should give you 6x+18