Answer:
Yes
Step-by-step explanation:
Adding to both sides of the equation will keep both sides equal
What is the common difference of the arithmetic sequence-20,-16,-12,-18
Answer:
common difference = 4
Step-by-step explanation:
common difference is the difference between the successive term and its preceding term.
let's take the successive term of -20 that is - 16
common difference (d) = successive term - preceeding term
= -16 -(-20)
= -16 + 20
= 4
if we take the successive term of -16 that is -12
we'll get the same common difference.
d = -12 -(-16)
d = -12 + 16
d = 4
this means that the common difference for an AP remains constant.
Please help you gonna help
Answer:
[tex]\frac{4}{9}[/tex]
Step-by-step explanation:
The equation would be
[tex]\frac{1}{3} +\frac{1}{9} =total[/tex]
First, change the denominator to a common multiple.
The LCM (least common multiple) of 3 and 9 is 9.
[tex]\frac{3}{9} +\frac{1}{9} =total[/tex]
Add to solve.
[tex]\frac{4}{9}[/tex]
I hope this helps!
Answer:
4/9
Step-by-step explanation:
We need to add the amounts together
1/3 + 1/9
Getting a common denominator
1/3 *3/3 + 1/9
3/9 + 1/9
4/9
Jessica ate 7 /10 of her orange before lunch and 1/10 of her orange after lunch. How much of her orange did she eat?
Answer:
8/10
Step-by-step explanation:
Lighthouse B is 10 miles west of lighthouse A. A boat leaves A and sails 5miles. At this time, it is sighted from B. If the bearing of the boat from B is N65E, how far from B is the boat?
The distance of B from the boat is 8.99 miles
To calculate the distance of the the boat from B we use cosine rule.
What is cosine rule?Cosine rule is a formula use to find one side of a triangle if two sides and an angle is given.
Cosine rule formula can be stated as
R² = P²+Q²-2PQcos∅.............. Equation 1From the question,
⇒ Given:
Q = 5 mileP = 10 miles∅ = 65°⇒ Substitute these values into equation 1 and solve for R
R² = 5²+10²-(2×5×10)cos65°R² = 125-(100×0.442)R² = 125-44.2R² = 80.8R = √(80.0)R = 8.99 milesHence, the distance of B from the boat is 8.99 miles.
Learn more about cosine rule here: https://brainly.com/question/23720007
#SPJ1
The position of a particle moving along a coordinate axis is given by s(t) = t^2 - 5t + 1. Find the speed ,velocity and acceleration
Answer:
speed is 2t - 5
velocity is 2t - 5
a = 2 m/s²
Step-by-step explanation:
Given the position of a particle expressed as:
s(t) = t^2 - 5t + 1
speed v = ds/dt
ds/dt = 2t - 5
Hence the speed is 2t - 5
velocity can also be expressed as the speed, hence, velocity is 2t - 5
Acceleration is the change in velocity with respect to time. Hence;
a = dv/dt
a = 2 m/s²
Suppose the function of h is defined, for all real numbers as follows: (f) x = -3 if x is <) 3 if x is =0 -2 if x is > 0
Answer:
See explanation
Step-by-step explanation:
The question is not properly presented; I will answer this with the following similar question.
[tex]h(x) = -\frac{1}{3}x^2 + 4[/tex] --- [tex]x \ne 2[/tex]
[tex]h(x) = -4[/tex] --- [tex]x= 2[/tex]
Required
[tex]h(-5)\ \&\ h(2)[/tex]
Calculating h(-5)
This implies that: x = -5
[tex]-5 \ne 2[/tex]
So, we make use of:
[tex]h(x) = -\frac{1}{3}x^2 + 4[/tex]
Substitute -5 for x
[tex]h(-5) = -\frac{1}{3} * (-5)^2 + 4[/tex]
[tex]h(-5) = -\frac{1}{3} * 25 + 4[/tex]
[tex]h(-5) = -\frac{25}{3} + 4[/tex]
Take LCM
[tex]h(-5) = \frac{-25+12}{3}[/tex]
[tex]h(-5) = -\frac{13}{3}[/tex]
Calculating h(2)
This implies that: x = 2
[tex]2 = 2[/tex]
So, we make use of:
[tex]h(x) = -4[/tex]
Substitute 2 for x
[tex]h(2) = -4[/tex]
Use the above explanation to answer your question
5 and 6 What are the first five terms of the recursive sequence?
Answer:
4th option and 3rd option
Step-by-step explanation:
Using the recursive rule and a₁ = 7 , then
a₂ = 3a₁ - 6 = (3 × 7) - 6 = 21 - 6 = 15
a₃ = 3a₂ - 6 = (3 × 15) - 6 = 45 - 6 = 39
a₄ = 3a₃ - 6 = (3 × 39) - 6 = 117 - 6 = 111
a₅ = 3a₄ - 6 = (3 × 111) - 6 = 333 - 6 = 327
The first 5 terms are 7, 15, 39, 111, 327
---------------------------------------------------------------------
Similarly using the recursive rule and a₁ = 9
a₂ = 3a₁ + 3 = (3 × 9) + 3 = 27 + 3 = 30
a₃ = 3a₂ + 3 = (3 × 30) + 3 = 90 + 3 = 93
a₄ = 3a₃ + 3 = (3 × 93) + 3 = 279 + 3 = 282
a₅ = 3a₄ + 3 = (3 × 282) + 3 = 846 + 3 = 849
The first 5 terms are 9, 30, 93, 282, 849
If the cost of a dozen donuts is $4.80
and a bag of 16 rolls costs $4.80, what
is the cost of 3 donuts and 3 rolls?
(A) $2.40
(B) $0.70
(C) $7.20
(D) $2.10
(E) $9.60
If
f(x) = x2 + 2x - 4
and
g(x) = 3x + 1
Find
f(g(x)) = [? ]x2 + [ ]+х
Answer:
f(g(x)) = 9x^2 +12x -1
Step-by-step explanation:
f(g(x)) means you replace the x in f(x) with g(x), which is 3x + 1:
(3x+1)^2 + 2(3x+1) - 4
then expand and simplify:
(3x+1)(3x+1) + 6x+2 - 4
9x^2+6x+1 + 6x+2 - 4
and then collect all like terms:
9x^2
6x + 6x = 12x
1 + 2 - 4 = -1
find two consecutive whole number such that five times the greater number makes 59 hint let the number be x and x + 1
Answer:
Step-by-step explanation:
Let the smaller number = x
Let the larger number = x + 1
5*(x + 1) = 59
You can do this. The problem says that when the larger number is multiplied by 5, you get 59. You are also told that the numbers are whole numbers. 59 divided by 5 leaves a remainder which is not a whole number.
Find the height of the cylinder.
13 cm width
17 cm diagonally length
how much is the hight?
Answer:
The height is 0.014
Step-by-step explanation:
Use the formula, V=πr2h
h=V
πr2=13
π·172≈0.014
Page Section B 1 A={odd number between 6 andon and 8 § =) by B=&multiples of 5 less than too 100g e) G=& multiples of 5 greater than 100odd number between Shikshan
Answer:
write your question properly
Step-by-step explanation:
Choose the correct description of the graph of the inequality X - 3 greater than or equal to 25
A. Open circle on 8, shading to the left
B. Closed circle on 8, shading to the left.
C. Open circle on 8, shading to the right.
D. Closed circle on 8, shading to the right.
I’m pretty sure it’s D
Answer:
D. Closed circle on 8, shading to the right.
y=x+5 y=-2x-4 I need help with this problem will you help me?
Answer:
x = - 3, y = 2
Step-by-step explanation:
Given the 2 equations
y = x + 5 → (1)
y = - 2x - 4 → (2)
Substitute y = x + 5 into (2)
x + 5 = - 2x - 4 ( add 2x to both sides )
3x + 5 = - 4 ( subtract 5 from both sides )
3x = - 9 ( divide both sides by 3 )
x = - 3
Substitute x = - 3 into either of the 2 equations and evaluate for y
Substituting into (1)
y = - 3 + 5 = 2
Please hurry I will mark you brainliest
What is the equation in standard form for the line with slope 3 and y-intercept -4?
Answer: -3x+y=-4
Step-by-step explanation:
Standard form is Ax+By=C. In y=Mx+b form, it would be y=3x-4. To put it into standard form you subtract 3x from both sides. So then you have -3x+y=-4.
Can someone please help me
Answer: B. 4 × 10⁻⁵
Step-by-step explanation:
0.00003762 = 3.762 × 10⁻⁵ ≈ 4 × 10⁻⁵
Answer:
b
Step-by-step explanation:
[tex]4 \times {10}^{ - 5} = 4 \times \frac{1}{100000} [/tex]
The ratio of grapes in a fruit salad to people it will serve is 13/3. How many people will be served if Deb is using 30 grapes?
Answer:
6 + 12/13, or 90/13 people will be served
Step-by-step explanation:
Ratios stay the same, no matter the quantity.
Given this, we can say that (13 grapes / 3 people) = (30 grapes / x amount of people)
13/3 = 30 / x
multiply both sides by 3 to remove a denominator
13 = 30 * 3 /x
multiply both sides by x to remove the other denonimator
13 * x = 30 * 3
13 * x = 90
divide both sides by 13 to isolate the x
x = 90/13 = 6 + 12/13 ≈6.92 people
Please help me ASAP
Answer:
4
Step-by-step explanation:
6(6+x) = 5(5+x+3)
36+6x = 25+5x+15
6x-5x=40-36
x=4
[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]
See this attachment
x=4help me out (geometry)
Answer:
⊥
Step-by-step explanation:
d and b meet at a 90 degree angle ( as shown by the box)
The lines are perpendicular (⊥)
Help Please Now!!!
Find the volume Of The Rectangle Prism
Answer:
180m cubed
Step-by-step explanation:
Multiply the length, width, and height together: 6×6×5=180
Answer:
Formula of a rectangular prism:
L x W x H
Now we place in the numbers and solve:
5 x 6 x 6 = 180 m3
Si un proyectil asciende verticalmente, y después de 3 segundos alcanza su altura máxima, calcule la velocidad que lleva a la mitad de su trayectoria descendente
Answer:
The speed is 20.8 m/s
Step-by-step explanation:
If a projectile ascends vertically, and after 3 seconds it reaches its maximum height, calculate the velocity that it carries to the middle of its downward trajectory
Let the maximum height is h and initial velocity is u.
From first equation of motion
v = u + at
0 = u - g x 3
u = 3 g.....(1)
Use third equation of motion
[tex]v^2 = u^2 - 2 gh \\\\0 = 9 g^2 - 2 gh \\\\h = 4.5 g[/tex]
Let the speed at half the height is v'.
[tex]v^2 = u^2 + 2 gh \\\\v'^2 = 0 + 2 g\times 2.25 g\\\\v'^2 = 4.5\times 9.8\times9.8\\\\v' = 20.8 m/s[/tex]
i need the answer for this question
Solve EFD. Round the answers to the nearest hundredth.
A. m F ≈ 26, m D ≈ 64.01, FD = 7,921
B. m F ≈ 26, m D ≈ 64.01, FD = 89
C. m F ≈ 64.01, m D ≈ 26, FD = 89
D. m F ≈ 64.01, m D ≈ 26, FD = 7,921
Answer:
Option B
<F = 26°
<D = 64.01°
FD = 89
Answered by GAUTHMATH
For right triangle EFD, m ∠F ≈ 26°, m ∠D ≈ 64.01° and FD = 89
The correct answer is an option (B)
What is hypotenuse?It is the longest side of the right triangle.
What is Pythagoras theorem?For a right triangle,
[tex]a^{2}+ b^{2} = c^{2}[/tex], where c is hypotenuse and a, b area other two sides of the right triangle
For given example,
We have been given a right triangle EFD with hypotenuse FD.
Also, EF = 80, ED = 39
Using the Pythagoras theorem,
[tex]\Rightarrow FD^{2}= EF^{2} + ED^{2}\\\\ \Rightarrow FD^{2}= 80^{2} + 39^{2}\\\\ \Rightarrow FD^2 = 6400 + 1521\\\\ \Rightarrow FD^2 = 7921\\\\\Rightarrow FD = 89[/tex]
Consider, sin(F)
[tex]\Rightarrow sin(F)=\frac{ED}{FD} \\\\\Rightarrow sin(F)=\frac{39}{89}\\\\ \Rightarrow sin(F)=0.4382\\\\\Rightarrow \angle F=sin^{-1}(0.4382)\\\\\Rightarrow \angle F=25.98^{\circ}\\\\\Rightarrow \angle F\approx 26^{\circ}[/tex]
Now, consider sin(D)
[tex]\Rightarrow sin(D)=\frac{FE}{FD}\\\\ \Rightarrow sin(D)=\frac{80}{89}\\\\ \Rightarrow \angle D = sin^{-1}(0.8988)\\\\\Rightarrow \angle D = 64.009^{\circ}\\\\\Rightarrow \angle D \approx 64.01^{\circ}[/tex]
Therefore, for right triangle EFD, m ∠F ≈ 26°, m ∠D ≈ 64.01° and FD = 89
The correct answer is an option (B)
Learn more about Pythagoras theorem here:
https://brainly.com/question/343682
#SPJ2
A photo printer is on sale for $195.50. The regular price is $230. What is the percent of the discount on the photo
printer?
Now use GeoGebra to measure the length of each side of quadrilateral ABCD, and use those lengths to calculate the perimeter of the quadrilateral. Do you get the same result that you obtained in part E? Take a screenshot of your work, and paste it below.
Answer:
Step-by-step explanation:
Pls help with this question :)
Answer:
X=20
a< = 125
Step-by-step explanation:
Please I need help someone answer asap
Answer:
C -2,-1
Step-by-step explanation:
I pulled up a graph of a circle. -2, -1 is outside the circle
Given g (n) = 3n + 2, f (n) = 2n^2 + 5
Find g (f (2))
a)8
b)41
c)133
d)21
Answer:
g(f(2)) = 41
b)41
Step-by-step explanation:
g(f(2)) = 41
f(2)= 2(2²) + 5 = 13
So g(f(2)) → g(n = 13)
g(n = 13)→ 3(13) + 2 = 41
George has opened a new store and he is monitoring its success closely. He has found that this store’s revenue each month can be modeled by r(x)=x2+6x+10 where x represents the number of months since the store opens the doors and r(x) is measured in hundreds of dollars. He has also found that his expenses each month can be modeled by c(x)=x2−4x+5 where x represents the number of months the store has been open and c(x) is measured in hundreds of dollars. What does (r−c)(4) mean about George's new store?
Answer:
(r - c)(4), is the profit made in George's new store after 4 months which is $4,500
Step-by-step explanation:
The given parameters for George's store are;
The amount of revenue George makes each month, r(x) = x² + 6·x + 10
The expenses each month, c(x) = x² - 4·x + 5
Where;
x = The number of months the store has opened the doors
r(x) and c(x) are measured in hundreds of dollars
The amount of profit from the store, P = Revenue - Expenses
Therefore, the profit made on a given month, x, is P(x), which is found as follows;
P(x) = r(x) - c(x) = (r - c)(x)
Therefore, (r - c)(4) = P(4), is the profit realized from George's new store, after 4 months
(r - c)(4) = 4² + 6·4 + 10 - (4² - 4·4 + 5) = 45
Answer:
The new store will have a profit of $4500 after its fourth month in business.
Step-by-step explanation:
I took the quiz
plsssssssssss helppppppppp i want it right now pls
Answer:
hope this helps you
have a great day