Answer:
4
Step-by-step explanation:
The slope of a line is given as the ratio of change in y to the change in x :
Change in y(dy) / change in x (dx)
Change in x = 1 ; change in y = 4
Slope = 4 / 1
The slope of the line = 4
La suma dels quadrats de tres nombres naturals consecutius i múltiples de 3 és igual a 450. Planteja una equació de segon grau i calcula els tres nombres.
Answer:
The 3 numbers are 9, 12, and 15.
Step-by-step explanation:
I will answer in English, below the answer you can see a translation in Catalan.
This can be translated to:
The sum of the squares of three consecutive and multiple natural numbers of 3 is equal to 450. Pose a quadratic equation and calculate the three numbers.
First, a multiple of 3 can be written as:
3*n
The consecutive multiple of 3 is:
3*n + 3
The consecutive multiple of 3 is:
3*n + 3 + 3
Then the sum of their squares is:
(3*n)^2 + (3*n + 3)^2 + (3*n + 6)^2
And we know that this is equal to 450, then we need to solve the equation:
(3*n)^2 + (3*n + 3)^2 + (3*n + 6)^2 = 450
let's solve this:
9*n^2 + (9*n^2 + 2*(3*n)*3 + 9) + (9*n^2 + 2*(3*n)*6 + 36) = 450
27*n^2 + 54*n + 45 = 450
we can write this as:
27*n^2 + 54*n + 45 - 450 = 0
27*n^2 + 54*n - 405 = 0
The solutions of this equation are given by the Bhaskara's formula, and the solutions are:
[tex]n = \frac{-54 \pm \sqrt{54^2 -4*27*(-415)} }{2*27} = \frac{-54 \pm 216 }{54}[/tex]
we know that our numbers are naturals, then the numbers are positives, which means that we only care for the positive solution of n, which is:
n = (-54 + 216)/54 = 3
Then the 3 numbers are:
3*n = 3*3 = 9
(3*n + 3) = (3*3 + 3) = 12
(3*n + 6) = (3*3 + 6) = 15
In Catalan:
En primer lloc, es pot escriure un múltiple de 3 com:
3 * n
El múltiple consecutiu de 3 és:
3 * n + 3
El múltiple consecutiu de 3 és:
3 * n + 3 + 3
Llavors, la suma dels seus quadrats és:
(3 * n) ^ 2 + (3 * n + 3) ^ 2 + (3 * n + 6) ^ 2
I sabem que això és igual a 450, llavors hem de resoldre l’equació:
(3 * n) ^ 2 + (3 * n + 3) ^ 2 + (3 * n + 6) ^ 2 = 450
resolem això:
9 * n ^ 2 + (9 * n ^ 2 + 2 * (3 * n) * 3 + 9) + (9 * n ^ 2 + 2 * (3 * n) * 6 + 36) = 450
27 * n ^ 2 + 54 * n + 45 = 450
podem escriure això com:
27 * n ^ 2 + 54 * n + 45 - 450 = 0
27 * n ^ 2 + 54 * n - 405 = 0
Les solucions d’aquesta equació vénen donades per la fórmula de Bhaskara, i les solucions són:
[tex]n = \frac{-54 \pm \sqrt{54^2 -4*27*(-415)} }{2*27} = \frac{-54 \pm 216 }{54}[/tex]
sabem que els nostres nombres són naturals, aleshores els nombres són positius, cosa que significa que només ens importa la solució positiva de n, que és:
n = (-54 + 216) / 54 = 3
Llavors els 3 nombres són:
3 * n = 3 * 3 = 9
(3 * n + 3) = (3 * 3 + 3) = 12
(3 * n + 6) = (3 * 3 + 6) = 15
Give examples of numbers that you would multiply by 3 to get an answer that is greater than 3, equal to 3, or less than 3
Answer:
1. 3 x 3 = 9
2. 3 x 1 =3
3. 3 x 0.4 = 1.2
Step-by-step explanation: Hope this helps :)
which triangle congruence postulate, if any, can be used to prove the two triangles are congruent
Answer:
dont know answer sorry minsan tama na sagot
At a museum cafe you can get a pre-made boxed lunch with a sandwich, fruit, and drink for only .
The sandwiches are made with either turkey or ham.
The fruit is either an apple or an orange.
The drink is either bottled water or juice.
The number of boxes they make for every possible combination is the same. If you randomly choose one of the boxed lunches without knowing the contents, what is the probability you will get a turkey sandwich, an apple, and a bottle of water in your box?
Answer:
1/8
Step-by-step explanation:
1/2 x 1/2 x 1/2
Winnie has 7 soccer trophies she wants to arrange in an array. How many different arrays are possible?
Answer:
5040 possible arrangements
Step-by-step explanation:
Given
[tex]Trophies = 7[/tex]
Required
Possible arrangements
The 1st can be placed in any 7 positions
The 2nd, in 6 positions
-----
--
-
Up till the last in 1 position
So, the number of arrangements is:
[tex]Arrangements = 7 * 6 * 5 * 4 * 3 * 2 * 1[/tex]
[tex]Arrangements = 5040\ ways[/tex]
5[5y -6] = 4[y -7]
solve the equation by balancing the equation
Answer: 2/21
Step-by-step explanation:
5[5y -6] = 4[y -7]
We first need to open the bracket to be able to solve the question
25y - 30 = 4y - 28
Collect like terms
25y - 4y = -28 + 30
21y = 2.
y = 2/21
Therefore, the value for y is 2/21.
Solve the equation.
m2-14 – 29
Answer:
m = 15
Step-by-step explanation:
m + 14 = 29
Subtract the 14...
m = 15
I hope this helps :)
Answer:
m = 15
Step-by-step explanation:
Find the circumference of the circle. Use 3.14 for pi round the nearest hundredth rig necessary. 30 in the circumference of the circle is abt something in
Answer:
C=2 [tex]\pi[/tex] r
Step-by-step explanation:
Which point is a solution to the inequality shown in this graph? (0,4) (-3,0)
Answer: (-3,0)
Hope this helps :_)
what’s the comparison to 3/25 and 22/25
Answer:
This is the answer. Hope it helps
Step-by-step explanation:
3/25<22/25
A triangle has sides of length 2 cm and 12 cm. What can you say about the length of the third side?
Answer:
The third side must be between 10cm and 14 cmStep-by-step explanation:
Let the third side be x
Triangle inequality theorem: sum of the length of any two sides must be greater than the third side length:
2 + 12 > x ⇒ x < 142 + x > 12 ⇒ x > 10x + 12 > 2 ⇒ x > -10, we change it to x > 0 as it should be a positive numberCombined together we have:
10 < x < 14The third side must be between 10cm and 14 cm
Find the value of this expression if x = -2 and
y = 4.
ху
3
Answer:-8/3
Step-by-step explanation:
given xy/3
putting vales of x and y
(-2)(4)/3
-8/3
TRAINGLE CONGRUENCE i think ... (PICTURE INCLUDED) PLA EXPLAIN HOW!!!
Answer:
Step-by-step explanation:
Cos ∅ = [tex]\frac{Adjacent side}{Hypotenuse}[/tex]
Cos 48° =[tex]\frac{38}{x}[/tex]
0.67 = [tex]\frac{38}{x}[/tex]
0.67*x = 38
x = [tex]\frac{38}{0.67}[/tex]
x = 56.71
x = 56.7
HELP PLEASE PLEASE!!!
Answer:
a) 20 feet
Step-by-step explanation:
8ft shadow - 5ft
32ft shadow - [tex]\frac{32}{8}[/tex] × 5ft = 20ft
Answer:
A
Step-by-step explanation:
Ratio from shadow to object
8:5
Given Shadow of tree = 32ft, (8x4)
Height of Tree = 5x4 = 20ft
A
a truck sits on the platform of a vehicle lift. Two moving arms raise the platform until a mechanic can fit underneath. Why will the truck always be parallel to the ground as it is lifted?
Answer:
Step-by-step explanation:Because many objects are not regularly shaped their volume cannot be determined using a volume formula. The volume of these objects can be found by water displacement. A volume of water sufficient to cover the object is placed in a graduated cylinder and the volume read. The object is added to the cylinder and the volume read again. The difference between the two volumes is the volume of the object. This method is demonstrated using the same battery used above.
help please lolololololololo
Answer:
C. x= 3 ; angle measure is 48°
Step-by-step explanation:
the two angles created by the X are the equal, so to make 16 equal to 48 we multiply by 3
hope this helps chu <3
someone help with number 2. (it’s algebra 1)
Answer:
98 followers
Step-by-step explanation:
Because 82(1.045)^4 is equal to 97.7865252512 which is 98 when you round it to the whole number...
GOOD LUCK
In PQR the measure of R=90 the measure of P=62 and RP=8.6 find the length of QR to the nearest tenth of a foot.
Answer:
QR = 4.6 ft
Step-by-step explanation:
By applying tangent rule in the given triangle PQR,
tan(62°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
= [tex]\frac{8.6}{QR}[/tex]
QR = [tex]\frac{8.6}{\text{tan}(62)}[/tex]
QR = 4.573
QR ≈ 4.6 ft
Which expression is equivalent to squareroot a⁷
its D
Answer:
d) sqrt a^6 × a
Step-by-step explanation:
sqrt a^6 × a
= a× a =a
6+ 1 = 7
= sqrt a^7
A technology company claims that 13% of customers who call the help desk cannot log in because they have their keyboard on caps lock, which blocks the log in process due to password case sensitivity. Brian, a help desk worker at this company, thinks this proportion is higher. The 95% confidence interval for the true proportion of customers who cannot log in due to caps lock is (0.128, 0.185). Is it reasonable to believe the true proportion of customers who cannot log in due to caps lock is greater than 13%?
Yes, because most of the values in the interval are above 0.13.
Yes, because the center of the interval is 0.1565, which is greater than 0.13.
No, because 0.13 is in the interval.
No, because there are values in the interval that are less than 0.13.
Answer:
It’s D for heaven sake !
No, because there are values in the interval that are less than 0.13.
Step-by-step explanation:
()) A rectangular piece of paper has a perimeter of 22 inches and an area of 28 square
inches. What are the dimensions of the paper?
Given:
Perimeter of a rectangular paper = 22 inches.
Area of the rectangular paper = 28 square inches.
To find:
The dimensions of the rectangular paper.
Solution:
Let l be the length and w be the width of the rectangular paper.
Perimeter of a rectangle is:
[tex]P=2(l+w)[/tex]
Perimeter of a rectangular paper is 22 inches.
[tex]2(l+w)=22[/tex]
[tex]l+w=\dfrac{22}{2}[/tex]
[tex]l=11-w[/tex] ...(i)
Area of a rectangle is:
[tex]A=lw[/tex]
Area of the rectangular paper is 28 square inches.
[tex]28=lw[/tex]
Using (i), we get
[tex]28=(11-w)w[/tex]
[tex]28=11w-w^2[/tex]
[tex]w^2-11w+28=0[/tex]
Splitting the middle term, we get
[tex]w^2-7w-4w+28=0[/tex]
[tex]w(w-7)-4(w-7)=0[/tex]
[tex](w-7)(w-4)=0[/tex]
Using zero product property, we get
[tex](w-7)=0\text{ and }(w-4)=0[/tex]
[tex]w=7\text{ and }w=4[/tex]
If [tex]w=7[/tex], then by using (i)
[tex]l=11-7[/tex]
[tex]l=4[/tex]
If [tex]w=4[/tex], then by using (i)
[tex]l=11-4[/tex]
[tex]l=7[/tex]
Therefore, the dimensions of the paper are either [tex]7\times 4[/tex] or [tex]4\times 7[/tex].
thank you for hurrying here is the very last one Explain how you would find the perimeter of this triangle.
Step-by-step explanation:
Use the method of TOA CAH SOH.
[tex]tan(51.3) = \frac{opp}{adj} \\ \tan(51.3) = \frac{u}{4} \\ u = 4 \tan(51.3) [/tex]
[tex] cos(51.3) = \frac{adj}{hypo} \\ \cos(51.3) = \frac{4}{v} \\ v \cos(51.3) = 4 \\ v = \frac{4}{ \cos(51.3) } [/tex]
Perimeter of triangle = Sum of all sides =
[tex]u \: + \: v + 4[/tex]
Answer:
use right angeled triangle method.
3) Write an explicit
formula for the
sequence:
45, 41, 37, 33
Answer and Step-by-step explanation:
f(n) = 45 - 4(n - 1)
This is the explicit formula for the sequence.
45 is the initial amount, which is why it is by itself.
The change in the sequence is take away 4, so this becomes a negative 4, which is then multiplied by (n - 1), where n is the term in the sequence.
#teamtrees #PAW (Plant And Water)
Went out to eat on his birthday 4 shot 3 dead in tha worst way
Answer:
That's unfortunate. Is everything okay?
last year Kurt grew a pumpkin the had a mass of 12 3/8 kg. this year he grew a pumkin that was 2/3 as much What is the mass of the pumkin Kurt grew this year?
Answer:
8 2/8 kg or 8 1/4 kg
Step-by-step explanation:
Multiply 2/3 by 12 3/8 to find 2/3 of Kurt's last year pumpkin
The fraction 2/3 of 12 3/8 is 8 1/4 thus the mass of the pumpkin Kurt grew this year is 8 1/4.
What is a fraction?
It represents the number of pieces removed from the whole. The denominator of a fraction is the numerical value that comes before the brings together various.
The value that appears above the horizontal line is referred to as the numerator.
Given that,
Mass of pumpkin last year = 12 3/8
It's grown by 2/3 factor this year.
2/3 of 12 3/8 → 2/3(12 + 3/8)
⇒ 8 + 2/8
⇒ 8 + 1/4 = 8 1/4
Hence "The fraction 2/3 of 12 3/8 is 8 1/4 thus the mass of the pumpkin Kurt grew this year is 8 1/4".
For more about fractions,
https://brainly.com/question/10354322
#SPJ2
Why should Emily use a wire to connect point 2 to point 4? A) Metal wire is always expensive to work with. B) Metal is a good insulator of electricity. C) Metal wire is a good conductor of electricity. D) Metal is an inexpensive material to work with.
Answer:
c.) Metal wire is a good conductor of electricity.
Step-by-step explanation:
https://byjus.com/questions/why-are-metals-good-conductors-of-electricity/#:~:text=Metals%20are%20an%20excellent%20conductor,of%20the%20interacting%20metal%20ions.
"Metals are an excellent conductor of electricity and heat because the atoms in the metals form a matrix through which outer electrons can move freely. Instead of orbiting their respective atoms, they form a sea of electrons that surround the positive nuclei of the interacting metal ions."
Hope this helped!
Stay safe! <3
tell me if i did these correctly and i will mark you brainiest
Answer:
You only got 7, 8, and 9 wrong
Step-by-step explanation:
it said convert to percents not fractions. Number 7 is 35%, number 8 is 80%, and number 9 is 126%
What is the median of these scores,
98,82,100,84?
Answer:
the median is 91
Step-by-step explanation:
have a good day
What is the volume of this rectangular prism?
3/5cm 4/3cm 3cm
Answer:
The volume is 2.4
Answer:
2.4 cm
Step-by-step explanation:
Length× Width × Height
[tex]\frac{3}{5}[/tex] × [tex]\frac{4}{3}[/tex] × [tex]\frac{3}{1}[/tex] = [tex]\frac{36}{15}[/tex]
[tex]\frac{36}{15} = \frac{12}{5}[/tex]
12÷5= 2.4
Help fast please i need it
Answer:
420
Step-by-step explanation:
Answer:
420
Step-by-step explanation:
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