Step-by-step explanation:
add 3
x = - 7___________..........
(5,-10) and (15,-20). find the equation of this line.
Answer:
y = -x-5
Step-by-step explanation:
slope of the line is =(-20+10) / (15-5) = -10/10 = -1
Now equation of line is y+10=(-1)(x-5)
i.e. y+10= -x +5
i.e y = -x-5
Answer:
y = -x - 5.
Step-by-step explanation:
The slope of the line is (-20-(-10) /(15-5)
= -10/10 = -1.
Now use the point slope form of a straight line:
y - y1 = m(x - x1) where m = the slope and (x1, y1) is a point on the line.
So we have:
y - (-10) = -1(x - 5)
y + 10 = -x + 5
y = -x + 5 - 10
y = -x - 5.
From her home, Adriana would have to walk due north to get to her friend Gavin's house and due east to get to her friend Zach's house. It is 3 miles from Adriana's house to Zach's house and a straight-line distance of 5 miles from Gavin's house to Zach's house. How far is Adriana's house from Gavin's house?'
Answer:
4 miles.
Step by step explanation
a recipe for 24 bran muffins requires 2.25 cups of flour. You want to make 30 bran muffons. which proportion could be solved to find x, the total number of cups of flour needed
Answer:
Number of cups water require for 30 muffins = 2.82 cups (Approx.)
Option "D"
Step-by-step explanation:
Given:
24 bran muffins required = 2.25 cups of flour
Find:
Number of cups water require for 30 muffins
Computation:
Assume;
Number of cups water require for 30 muffins = x
So,
24 / 2.25 = 30 / x
x = [30 × 2.25] / 24
x = 67.65 / 24
x = 2.8187
Number of cups water require for 30 muffins = 2.82 cups (Approx.)
i need a box with a square base and an open top that cna hold 500 in^3. what is the least amount of material i can use to build this box
Answer:
M(x) = 452,56 in
Step-by-step explanation:
The volume of the open box is 500 in³
V = Area of the base times height
V(b) = x² * h where x is the side of the square and h the heigh
Then 500 = x²*h
Total material to use is: material of the base + material of 4 sides
material of the base is x²
material of one side is x*h we have 4 sides then 4*x*h
Total material M(b)
M(b) = x² + 4*x*h
And as h = 500/ x²
M(x) = x² + 4* x* 500/x²
M(x) = x² + 2000/x
Tacking derivatives on both sides of the equation
M´(x) = 2*x - 200/x²
M´(x) = 0 2*x - 200/x² = 0
x³ - 100 = 0
x³ = 100
x = 4,64 in
And By substitution h = 500/x²
h = 500/(4,64)² h = 23,22 in
How do we know that x = 4,64 make V(x) minimum
we get the second derivative
M´´(x) = 2 + 200*2x/ x⁴ = 2 + 400/x³
M´´(x) is always positive
M´´(x) > 0 then M(x) has a minimum for x= 4,64 in
The least amount of material is:
M(x) = x² + 2000/x
M(x) = (4,64)² * 2000/4,64
M(x) = 21,53 + 431,03
M(x) = 452,56 in
Sarah's vegetable soup recipe uses 2
cups of vegetables to make one pot of soup. She wants to triple the recipe.
How many cups of vegetables does she need?
Answer:
No.of cups for one soup : 2 cups
No.of cup for 3 soups: 2×3
=6
So , 6 cups of vegetable
HOPE IT HELPS U :)
Extremely STUCK on this one help!
Find the length of the arc in terms of pi A 144° 10 AB = [?]
Answer:
arc AB = 144°/360° x 2π x 10
= 2/5 × 20π = 8π
find the length of the missing side
help!
Answer:
B would be 72 using a^2+b^2=c^2
Step-by-step explanation:
30^2 + x =78^2
in other words
900 + x =6084
6084-900= 5184
The square root of 5184 is 72
If h(x) = x - 7 and g(x) = x², which expression is equivalent to (gºf)(5?
O (5-7)2
(5)²-7
O (5)? (5 – 7)
O (5-7) x²
Answer:
(5^2)(5-7)
Step-by-step explanation:
So we know h(x)=x-7.
We also know g(x)=x^2
We need to plug in these values for (g*h)(5)
This would equal:
((x-7)*x^2)(5)
Since parthese can also be considered multipcation symbols, we can think of this as:
(x-7)(x^2)(5)
Lets distrubute the 5 to all the x's:
(5-7)(5^2)
Which is:
([tex]5^{2}[/tex])(5-7)
This looks like answer C.
Hope this helps!
What’s an explanation function ?
Answer:
Functional explanations are a type of explanation offered in the natural and social sciences. In giving these explanations, researchers appeal to the functions that a structure or system has.
Question 6 of 10
Classify the following triangle. Check all that apply.
O A. Isosceles
B. Equilateral
O C. Obtuse
D D. Scalene
E. Right
OF Acute
SUB
Answer: a b f
Step-by-step explanation: I need brainliest for next rank I’d appreciate it
My exam, does any one know the answer
Answer:
D) 7
Step-by-step explanation:
Five times a number=5x
added to 4= 5x+4
[tex]5x+4=39[/tex]
[tex]5x=35[/tex]
[tex]x=7[/tex]
So, the number is 7.
los trabajadores de una mina se encuentran a 20 metros bajo tierra .Si excavan 3 metros desde alli suben otros 8 metros para coger una caretilla a que altura estaba la carretilla
Answer:
carretilla
Step-by-step explanation:
la carretilla se encontraba a unos 18 metros de altura
Fabric is stretched over the wooden frame below What is the total area of the fabric? Round to the nearest square inch
Answer:
72 in²
Step-by-step explanation:
We obtain the value of EC:
From Pythagoras :
EC = √CD² - DE²
EC = √10² - 6²
EC = √100 - 36
EC = √64
EC = 8
To obtain AE:
AE = √AB² - BE²
AE = √(√52)² - 6²
AE = √52 - 36
AE = √16
AE = 4
Hence, we can obtain the areas of each triangle :
△ABE = △ADE
△BCE = △CDE
AREA OF △ABE = 1/2 * base * height
= 1/2 * 4 * 6 = 12 in²
AREA OF △BCE = 1/2 * base * height
= 1/2 * 6 * 8 = 24 in²
HENCE, total area of fabric :
(2 * 12) + (2 * 24)
24 in² + 48 in²
= 72 in²
Challenge: Solve 2x+y=7 for y. What does y equal?
Y= X+
Answer:
y = -2x+7
Step-by-step explanation:
2x+y=7
Subtract 2x from each side
2x+y -2x=-2x+7
y = -2x+7
A newly electric vehicle is designed to have a battery range of 400 miles and a standard deviation of 20 miles. assume the battery range distribution is normally distributed. the company tests 39 vehicles to determine if the battery is operating at specifications. the average range of the 39 vehicles is 398 vehicles with a standard deviation of 20 miles. find the 95% confidence interval for average battery range of the newly produced vehicle.
a) (393.72 , 406.28)
b) (391.52, 404.48
c) (393.52, 406.48)
d) (391.72, 404.28)
Answer:
b) (391.52, 404.48)
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 39 - 1 = 38
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 38 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.0244
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.0244\frac{20}{\sqrt{39}} = 6.48[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 398 - 6.48 = 391.52.
The upper end of the interval is the sample mean added to M. So it is 398 + 6.48 = 404.48.
The CI is (391.52, 404.58), and the correct answer is given by option B.
The cost of making a shirt is half of what the shirt normally sells for. Today, however, the shirt is 15% discount feom it’s normal price. What is the current price of the shirt.
marks)
9 (b). The first two terms of an arithmetic progression are shown.
р
5p
The sum of the first three terms is 90
Work out the value of p.
9514 1404 393
Answer:
p = 6
Step-by-step explanation:
The difference between the first two terms is ...
5p -p = 4p
Since this is an arithmetic sequence, the next term will be 4p more than the last term:
5p +4p = 9p
Then the sum of the first three terms is ...
p + 5p + 9p = 90
15p = 90 . . . . . . . . . . collect terms
p = 6 . . . . . . . . . . . . divide by 15
_____
The first three terms are 6, 30, 54.
Can someone please help me?
Answer:
yes i can
Step-by-step explanation:
Answer:
(2,7)
Step-by-step explanation:
A free carnival game offers a prize of $100 If you hit a balloon with a dart and $20 if you at least get the dart to stick on
the board. You win nothing otherwise. You play once. Let X be the amount of money you win. Which of the following
are possible values of X?
$80
$100
$20
$120
$0
Answer:
120 po
thanks again byeeee
Which statement about the graph of y = tan x is true?
Am I correct? K
Thanks for helping!
PLEASEEE CHECK ME WORK!
Answer:
yes you are correct on all of them good job
The graph shows the relationship between tablespoons and teaspoons. Determine a rule that relates the number of tablespoons by writing the correct term or value from the tiles in each blank.
Answer:
Multiply
1/3
Step-by-step explanation:
You can divide by 3 or multiply by 1/3. Since it looks like 3 is grayed out, I guess you have to use the latter.
If 3(x - 1) – 5(x – 3) = 3, find the value of 7x-5.
Answer:
36.5
Step-by-step explanation:
First solve for x
Factor:
3x-3-5x+15 = 3
Combine Like Terms:
-2x+12=3
-2x = -9
x = 4.5
PLug it in:
7(4.5)-5
31.5-5
36.5
[tex]{\boxed{\mathcal{\red{Step-by-step\:explanation:-}}}}[/tex]
[tex]3(x - 1) - 5(x - 3) = 3 \\ ⇝3x - 3 - 5x + 15 = 3 \\ ⇝ - 2x + 12 = 3 \\ ⇝ - 2x = 3 - 12 \\ ⇝x = \frac{ - 9}{ - 2} \\ x = 4.5[/tex]
To verify:
[tex]3(4.5 - 1) - 5(4.5 - 3) = 3 \\ ✒ \: 13.5 - 3 - 22.5 + 15 = 3 \\ ✒ \: 28.5 - 25.5 = 3\\✒\: 3 = 3[/tex]
✒ L. H. S. = R. H. S.
[tex]\sf\pink{Hence\:verified.}[/tex] ✔
Now,
7 [tex]x[/tex] - 5 = 7 x 4.5 - 5
= 31.5 - 5
= 26.5
[tex]\sf\purple{Therefore,\:the\:value\:of\:''7\:x-\:5''\:is\:26.5.}[/tex]
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
I need the answer HELP HELP HELP HELP
Answer:
A; TDC Inc., has 40 salespeople
B; Exactly half of the salespeople took fewer than 6 flights last year
F; Exactly half of the salespeople took at least 7 flights last year
PLEASE ANSWER ASAP!!! I WILL MAKE YOU BRAINLIST Find the length of the third side. If necessary, round to the nearest tenth.
Answer:
15
Step-by-step explanation:
a^2 + b^2 = c^2
20^2 +b^2 = 25^2
400 + b^2 = 625
-400 -400
b^2 = 225
b = √225
b = 15
Write the inverse function for the function, ƒ(x) =1/2 x + 4. Then, find the value of ƒ -1(4). Type your answers in the box.
ƒ -1(x) =
ƒ -1(4) =
Answer:
0
Step-by-step explanation:
Given that f(x) = 1/2x + 4
Let y = f(x)
y = 1/2 x + 4
Replace y with x
x = 1/2 y + 4
Make y the subject of the formula
1/2y = x - 4
y = 2(x-4)
If x = 3
y = 2(4-4)
y = 2(0)
y = 0
Hence ƒ -1(4) is 0
round to the nearest thousand 83,243 answer
Answer:
83,000
Step-by-step explanation:
Thousand = 1,000s place
1,000s place of 83,243 is the 3 (3,000)
The number right before 3 is the 2 (200)
2 is closer to zero than 10 so it rounds down
83,243 then becomes 83,000 since the other numbers before the (2) round down with it.
pleaseee help me I really need thissssss
Draw a square with one vertex on the origin (-3, 5) and a perimeter of 20.
Answer:
Coordinates:
(-3, 5)
(2, 5)
(-3, 10)
(2, 10)
Step-by-step explanation:
Perimeter formula:
length + width + length + width
Insert known value(s):
l + w + l + w = 20
Squares must have the same value for all 4 sides, so what number × 4 will equal 20? 5.
5 + 5 + 5 + 5 = 20
This means coordinates will be 5 units apart:
(-3 + 5, 5) = (2, 5)
(-3, 5 + 5) = (-3, 10)
Mark these coordinates on your grid as you go to double check the shape turns becomes a square:
(2, 5 + 5) = (2, 10)
Counting between them should equal 5 units for each side: I checked using the desmos graphing calculator online.