Answer:
-625
Step-by-step explanation:
1. the formula is:
[tex]a_n=a_1+d*(n-1);[/tex]
where n - the number of the required term, d - the step between two neighbor terms, a₁ - the first term of the given sequence.
2. according to the formula above:
[tex]a_{51}=25-13*(51-1)=25-650=-625.[/tex]
Evaluate:
10 x [(6 + 4) = 2]
Answer:
You have to pay close attention to the Order of Operations.
10(6+4)/2. Grouping symbols first.
6+4=10.
10(10)/2
10*10=100.
100/2.
50 is your answer
Step-by-step explanation:
Don't forget to rate me for this answer the Brainliest!
suppose sin(x) = -3/5 and cos(x) < 0. what is the value of cos (2x)?
Answer:
7/25
Step-by-step explanation:
Answer is C
Brandon is going to invest in an account paying an interest rate of 5% compounded quarterly. How much would Brandon need to invest, to the nearest dollar, for the value of the account to reach $490 in 16 years?
Answer:
Brandon wants $490 in 16 years by investing "x" dollars in an account that pays 5% compounded quarterly. How much is "x"?
Principal = Total / [ (1 + (r/n) )^ n * years]
n = 4 (for compounded quarterly)
Principal = 490 / [ (1. + (.05/4)) ^ 4 * 16]
Principal = 490 / [ (1.0125)^ 64]
Principal = 490 / 2.2145324106
Principal = 221.2656710971
So, if we invested 221.27 for 16 years at 5% compounded quarterly interest, we would have a total of $490.00
Step-by-step explanation:
Answer:
221
Step-by-step explanation:
I just know
Is the following a function? Each student's unique identification number paired with their grade level
Answer:
Yes, because each student's indetification number paired with their grade level
Step-by-step explanation:
For the triangles described, which of the following statements must be true? In triangle DEF, DE=8 in., DF=23 in., and ∡D=16°. In triangle PQR, PQ=23 in., PR=8 in., and ∡P=16°. (1 point) ∠Q≅∠F ∠R≅∠F DE¯¯¯¯¯¯¯¯≅PQ¯¯¯¯¯¯¯¯ ∠E≅∠Q
Answer:
∠Q≅∠F
Step-by-step explanation:
Two triangles are said to be congruent if all the three sides of the triangles are equal and all the three angles are equal.
Given that: In triangle DEF, DE=8 in., DF=23 in., and ∡D=16°. In triangle PQR, PQ=23 in., PR=8 in., and ∡P=16°.
Hence we can say that ΔDEF is congruent to ΔPQR. According to the side-angle-side (SAS) triangle congruence theorem: If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.
Therefore:
DF = PQ, DE = PR, EF = RQ, ∠D = ∠P, ∠E = ∠R and ∠F = ∠Q
86.04005 is written in words as
Answer: eighty six point zero four zero zero five. OR eighty six and four thousand five, hundred thousandths
Step-by-step explanation:
the place value answer is a little confusing but its correct i believe
Alexa is making a recipe that requires 1 cup of water and 4 cups of flour. Which of the following combinations shows the same ratio of water to flour?
A. 2 cups of water to 3 cups of water
B. 2 cups of water to 4 cups of flour
C. 2 cups of water to 8 cups of flour
D. 3 cups of water to 6 cups of flour
Answer: c
Step-by-step explanation: 1:4 is 4 times the flour to water and 2:8 is also 4 times the flour
Solve the system
4x+5x= -27
x+9y= 1
Answer:
x=-3, y = 4/9
Step-by-step explanation:
This is in equation form.
Las ecuaciones con numeros racionales se resuelven de manera similar a las ecuaciones con numeros enteros
Answer:
es verdadero
Step-by-step explanation:
PLEASE ANSWER ASAP!!Find a rational function that might have the given graph. (More than one answer might be possible.)
Answer:
The rational function that might have the given graph is [tex]y = - \frac{x}{(x+1)\cdot (x-1) }[/tex].
Step-by-step explanation:
This graph shows a rational function whose numerator is a first order polynomial and denominator is a second order, due to the presence of vertical asymptotes at [tex]x = -1[/tex] and [tex]x = 1[/tex]. The lead coefficient of the numerator must be 1, since horizontal asymptote must be [tex]y = 0[/tex] and intercept must be [tex]0[/tex], since [tex]y(0) = 0[/tex].
Then, we conclude that a rational function that might have the graph is:
[tex]y = - \frac{x}{(x+1)\cdot (x-1) }[/tex] (1)
We present the proof that given function is appropriate.
The accompanying diagram shows a flagpole that stands on level ground. Two cables, r and s,
are attached to a pole at a point 20 feet above the ground. The combine length of the two cables
is 70 feet. If cable r is attached to the ground 8 feet from the base of the pole, what is the
measure of the angle, x, to the nearest degree, that cable s makes with the ground?
Answer:
x = [tex]24^{o}[/tex]
Step-by-step explanation:
r + s = 70 feet
Applying Pythagoras theorem to the triangle formed by cable r;
[tex]/hyp/^{2}[/tex] = [tex]/adj1/^{2}[/tex] + [tex]/adj2/^{2}[/tex]
[tex]/r/^{2}[/tex] = [tex]/20/^{2}[/tex] + [tex]/8/^{2}[/tex]
[tex]r^{2}[/tex] = 400 + 64
= 464
r = [tex]\sqrt{464}[/tex]
= 21.541
Length of cable r is 21.54 feet.
So that,
r + s = 70 feet
21.54 feet + s = 70 feet
s = 70 feet - 21.54 feet
= 48.46 feet
Length of cable s is 48.46 feet.
Applying trigonometric function to the triangle formed by cable s, we have;
Sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]
Sin x = [tex]\frac{20}{48.46}[/tex]
= 0.4127
x = [tex]Sin^{-1}[/tex] 0.4127
= 24.3746
x = [tex]24^{o}[/tex]
The measure of angle that s makes with the ground is approximately [tex]24^{o}[/tex].
Monique is paid p dollars monthly. She also receives a bonus of $5,500 once a year. Write an expression to
represent the amount of money Monique is paid in ore year?
Answer:
Step-by-step explanation:
monthly express as p
in a year she will have 12p+5,500
If AC = 2, CD = 6, and CE = 3, what is BC?
Answer:
Hello,
Statement: Reasons:
BC/CD = AC/CE 1. Given
∠BCA = ∠ECD 2. Vertical ∠'s =
△ACB ~ △ECD 3. SAS
Hope it helps!
Step-by-step explanation:
Answer:
i believe the answer would be number 4
GUYS PLEASE HELPPPP (and dont take the points pls)
Answer:
12.9
Step-by-step explanation:
Let's understand this,
Angle of elevation is 30° and the is standing perpendicularly, we have to find the distance from the branch to the mouse.
According to question,
cosine or cos thita = Base/Hypotenuse
Cos 30° = 15/H
0.86 = 15/H
H = 0.86 × 15
H = 12.9 (Round off 13)
Hope it helps!
solve -8x greater than or equal to
2
Answer:
[tex]x \leq -\frac{1}{4}[/tex]
Step-by-step explanation:
Write it out: -8x ≥ 2Divide each side by -8 to cancel out the -8 next to x. It should now look like this: [tex]x \leq -\frac{1}{4}[/tex]I hope this helps!
Which has a value closest to 9?
63
110
99
183
Answer:
64
Step-by-step explanation
help me pls big points
Answer:
the answer should be 18.5
please help me with my homework :)
PLZ HELP ME WITH THIS!?!?! I WILL MARK BRAINLIEST!!!
Answer:
a: 1/7 +2/7
b:1/7 +1/7+1/7
You have a rock with a volume of 15 cm3 and a mass of 45 g. What's its density?
The formula for density is d = m/v.
d = density
m = mass
v = volume
The volume of the rock is 15 cubic centimeters.
The mass of the rock is 45 grams.
Now just plug these into the formula and solve.
d = 45/15.
45/15 = 3.
The density of the rock is 3 grams per cubic centimeters.
Mass of the rock = 45 g
Volume of the rock = 15 cubic cm
Formula:Density = Mass / Volume
Explanation:By putting the respected values, we get
Density = 45 g / 15 cubic cm = 3 gram/cubic centimeter
Answer:Density of the rock is 3 gram/cubic centimeter.
Pleasee help ASAP I’m begging u plssss
how you can use Triangle congruence to solve real-world problems? give 3 examples.
Answer:
1.Many pairs of triangles designed into a building, for example as roof ends, would be congruent, so the roof beam and the top edges of the walls are horizontal.
2.The congruent triangle is used in most of the building that are design to stay in bad conditions and Strong winds for Example the Sydney Bridge.
3.in real life two triangles are rarely exactly congruent. However they are crucial in the construction of large man-made structures. This is because a triangle is the most stable shape and the congruence is needed to create even surfaces.
What is the value of g(f(x)) ? Ο Α. . -6 OB. C. 19 D. 31
Answer:
D. 31
Step-by-step explanation:
Given:
[tex] f(x) = 4x^3 - 10 [/tex]
[tex] g(x) = \frac{3x - 4}{2} [/tex]
Required:
The value of g(f(2))
First, find f(2).
Substitute x = 2 into [tex] f(x) = 4x^3 - 10 [/tex].
[tex] f(2) = 4(2)^3 - 10 [/tex]
[tex] f(2) = 4*8 - 10 = 32 - 10 [/tex]
[tex] f(2) = 22 [/tex]
Next, find g(f(2)).
[tex] g(f(x)) = \frac{3(22) - 4}{2} [/tex]
[tex] g(f(x)) = \frac{66 - 4}{2} [/tex]
[tex] g(f(x)) = \frac{62}{2} [/tex]
[tex] g(f(x)) = \frac{62}{2} [/tex]
[tex] g(f(x)) = 31 [/tex]
-3 < x -10 Solve for X and simplify please
Hey there!
“-3 < x - 10”
SOME people treat the “<” “>” as an equal sign to make these types of problems easier to solve!
-3 = x - 10
Flip the equation around
x - 10 = -3
ADD both of your sides by 10
Like: x - 10 + 10 = -3 + 10
CANCEL out: -10 + 10 because it gives us 0
Keep: -3 + 10 because it gives us the value of x
-3 + 10 = x
Solve that above and you have your answer: x = 7 ☑️
Overall answer: x < 7
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
In the parallelogram below, x = [? ] 6x-57 3x+3
The value of x is 20
What is a parallelogram?A parallelogram is a quadrilateral with equal opposite sides
Since the opposite sides of a parallelogram are equal, then the following equation is true
[tex]6x - 57 = 3x + 3[/tex]
Divide through by 3
[tex]2x - 19 = x + 1[/tex]
Collect like terms, in the above equation
[tex]2x - x = 19 +1[/tex]
Evaluate the like terms
[tex]x = 20[/tex]
Hence, the value of x is 20
Read more about parallelograms at:
https://brainly.com/question/3050890
The weights of an orange in the bin at the grocery store vary normally with a mean of 10 oz. and a standard deviation of 2.5 oz. If you randomly pick two oranges out of the bin, what is the probability that the difference in their weight is at least 1 oz?
a) 0.421
b) 0.389
c) 0.778
d) 0.135
e) 0.842
Answer:
e) 0.842
Step-by-step explanation:
What is the equation of the ine?
Answer:
Step-by-step explanation:
x=0 is the equation because is just a vertical line
Answer: X=0
Step-by-step explanation:
Amanda has 2/3 apples. Make an equation to find how many 2/3 can go into 6.
Answer:
6 apples.
How I solved it:
2/3+ 2/3+ 2/3+ 2/3+ 2/3+ 2/3+ 2/3+ 2/3+ 2/3=
18/3
18/3=6
3/3=1
6/1= 6 apples.
10 times as much as 72.67
Answer:
726.7 hope this helps
Please I really need help with this question!!
1. Slope of segment BC
2. Slope of segment AD
3. Length of segment BC
4. Length of segment AD
5. ABCD is a ________
Answer:
Step-by-step explanation:
1 and 2.
slope is m = ( y2-y1) / (x2-x1)
slope of BC = 5-3 /6-1 = 2/5
slope of AD = 1 +1 / 7-2 = 2/5
3 and 4
use the distance formula d= √(x2-x1)² +(y2-y1)²
BC = √( 6-1)²+(5-3)² = √5²+2²= √29
AD = √(7-2)²+(1+1)² = √5²+2² = √29
5.
since BC and AD have the same slope then they are parallel
since BC and AD are same length the segments are ≅
so ABCD is a rectangle