here,
a1=-1
a2=-1+4 =3
a3= 3+4=7
a4=7+4=11
using the general formula for nth term of an ap
[tex]an = - 1 + (n - 1)d \\ here \: a = - 1 \: and \: d = 4 \\ \\ an = - 1(n - 1)(4) = - 1 + 4 - 4 \\ 4n - 5 \\ \\ hence \: a25 = \\ 4(25) - 5 = 100 - 5 = 95[/tex]
Answer= a25 = 95
What is the value of log Subscript 0.5 Baseline 16?
Answer:
its -4, guy above me is right!
Step-by-step explanation:
can someone pls pls help me ?
9514 1404 393
Answer:
a = 9 meters
Step-by-step explanation:
The perimeter is the sum of the side lengths:
28 m = a + 2m + a + 8m
18 m = 2a . . . . . . . . . . . . . . . . subtract 10m, collect terms
9 m = a . . . . . . . . . . . . . . . divide by 2
The value of a is 9 meters.
Which of the following sequences is not geometric
Which expression is equivalent to
НЕ
оооо
Answer:
q^12
Step-by-step explanation:
q^6^2
We know that a^b^c = a^(b*c)
q^6^2 = q^(6*2) = q^12
solve the simultaneous equation
2x - 5y = 9
3x + 4y = 2
Answer:
x = 2, y = -1.
Step-by-step explanation:
2x - 5y = 9
3x + 4y = 2
Multiply first equation by -3 and the second by 2:
-6x + 15y = -27
6x + 8y = 4 Adding the 2 equations:
23y = -23
y = -1.
Now substitute this value for y in the first equation:
2x - 5(-1) = 9
2x = 9 +5(-1)
2x = 9 - 5
2x = 4
x = 2.
-1.1k= -1.21 what does k=
Answer:
k=1.1
Step-by-step explanation:
-1.1k=-1.21
divide by -1.1 on both sides to cancel out the -1.1 in front of k so you just have k
k=1.1:) ur welcomeAnswer:
k = 1.1
Step-by-step explanation:
-1.1k= -1.21
Divide each side by -1.1
-1.1k/-1.1 = -1.21/-1.1
k = 1.1
What is the solution to this system of linear equations?
16
15
14
13
12
11
-6-5-4-3-2-
1 2 3 4 5 6
-1
-2
13
-4
|-5
-6
Help!
Step-by-step explanation:
Solution = (-2,1)
Because, the point (-2,1) is tangent to 2 intersecting lines
what is the answer ?
A softball has a diameter of 3.82 inches. How many square inches of material is necessary to cover a softball? Use 3.14 for π
Answer:
45.82 square inches
Step-by-step explanation:
Use the formula for the surface area of a sphere, A = 4[tex]\pi[/tex]r²
If the diameter is 3.82 inches, the radius is 1.91 inches.
Plug in 3.14 as [tex]\pi[/tex] and 1.91 as r, and solve:
A = 4[tex]\pi[/tex]r²
A = 4(3.14)(1.91²)
A = 45.82
So, approximately 45.82 square inches of material are needed.
A window on the building is 24ft above the ground. A ladder is placed 18ft from the base of the building. What is the length of the ladder?
Answer:
30
Step-by-step explanation:
A squared + B squared = C squared
24*24= 576 18*18= 324 324+576= 900 square root of 900 is 30
please answer correctly !!!! Will mark Brianliest !!!!!!!!!!!!!
Answer:
2261,9 cm³
Step-by-step explanation:
First, you need to find the area of the base:
[tex]A=\pi r^2[/tex]
A=36[tex]\pi[/tex] cm²
Now let's multiply it for the height:
36π cm² × 20 cm = 720π cm³
= 2261,9 cm³
Please Help!
The three sides lengths of four triangles are given. Which triangle is a right triangle?
A- Triangle 2: 8,15,17
B-Triangle 3: 15, 16, 23
C- Triangle 1: 10, √65, 14
D- Triangle 4: 9, √260, 19
9514 1404 393
Answer:
A- Triangle 2: {8, 15, 17}
Step-by-step explanation:
You may recognize that the triple of choice A is a Pythagorean triple, so can be the side lengths of a right triangle.
Checking the numbers can be done nicely by a graphing calculator or spreadsheet to help avoid the tedium of doing it "by hand".
The basic idea is that the triangle will be a right triangle if the sum of the squares of the shorter sides is the square of the longer side.
Which of the following is equivalent to the expression below? 9^10*9^x
Answer:
Step-by-step explanation:
[tex]a^{m}*a^{n}=a^{m+n}\\\\9^{10}*9^{x}=9^{10+x}[/tex]
In exponent multiplication, if the bases are same then add the exponents.
[tex] \small \sf \leadsto 9 {}^{10 +x} [/tex]
Step-by-step explanation:
Using exponent's product rule
[tex] \small \sf \: x {}^{n} \times x {}^{m} = x {}^{n + m} [/tex]
[tex] \small \sf \leadsto \: 9 {}^{10} \times 9 {}^{x} [/tex]
[tex] \small \sf \leadsto 9 {}^{10 + x} [/tex]
Help,anyone can help me do quetion,I will mark brainlest.
Answer:
a) x = 2
b) x = 4
Step-by-step explanation:
a = (b₁ + b₂)/2 * h
----------------------------
a)
48 = (10 + x)/2 * 8
Divide both sides by 8
6 = (10 + x)/2
multiply both sides by 2
12 = 10 + x
Subtract 10 from both sides
2 = x
x = 2
---------------------------------
b)
18 = (7 + 2)/2 * x
18 = 4.5 * x
divide both sides by 4.5
4 = x
x = 4
please help and thanks !
Answer:
x²+4x+4x+16
x(X+4)+4(X+4)
(x+4)(X+4)=0
x=(-4)Answer:
x = - 4
Step-by-step explanation:
= − ± 2 − 4 / 2
Once in standard form, identify a, b and c from the original equation and plug them into the quadratic formula.
x2+8x+16=0
= 1
= 8
= 1 6
x= − 8 ± 8 ^2 − 4× 1 × 1 6 / 2× 1
= − 8 ± 64 − 4× 1 ×1 6 / 2× 1
= − 8± 6 4 − 6 4 / 2× 1
x = -8 / 2× 1
x = -8 / 2
x = -4
Hope this answer helps you :)
Have a great day
Mark brainliest
Match the following items by evaluating the expression for x = -2.
Answer:
see below
Step-by-step explanation:
x^-2 = 1/x^2 Let x = -2 1/ (-2)^2 = 1/4
x^-1 = 1/x^1 Let x = -2 1/ (-2)^1 = 1/(-2) = -1/2
x^0 = 1
x^1 = x Let x = -2 (-2)
x^2 = Let x = -2 (-2)^2 = 4
Answer:
1)¼
2)½
3)1
4)2
5)4
Step-by-step explanation:
Question-1&2:recall that,
[tex] \displaystyle {x}^{ - n} = \frac{1}{ {x}^{n} } [/tex]
we want to evaluate [tex]x^{-2}[/tex] for x=-2
to do so substitute the given value of x
[tex] \displaystyle {2}^{ - 2} [/tex]
apply the formula:
[tex] \displaystyle {2}^{ - 2} = \frac{1}{ {2}^{2} } [/tex]
simplify square:
[tex] \displaystyle {2}^{ - 2} = \boxed{\frac{1}{ 4} }[/tex]
likewise substitute the given value of x to x^-1:
[tex] \displaystyle {2}^{ - 1} [/tex]
apply the formula:
[tex] \displaystyle {2}^{ 1} = \frac{1}{ {2}^{1} } [/tex]
[tex] \displaystyle {2}^{ 1} = \boxed{\frac{1}{ {2}^{} } }[/tex]
Question-3:substitute the value of x
[tex] \displaystyle {2}^{ 0} [/tex]
it's a universal truth that x⁰=1 Thus
[tex] \displaystyle \boxed{1}[/tex]
Question-4&5:Substitute the given value of x to x¹ and x² respectively
[tex] \displaystyle {2}^{ 1} \quad \bigg | \quad {2}^{2} [/tex]
simplify:
[tex] \displaystyle \boxed{2} \quad \bigg | \quad \boxed4[/tex]
and we're done!
Kira works 6.5 hours per day. In September, she worked 24 days. How many hours did Kira work in September?
hours
Answer: She had worked 156 hours in all of the month of september.
Step-by-step explanation: ....
Write the word that describes the part of figure A written below.
Answer:
GA = Ray
Step-by-step explanation:
EB = Line
AB = Line Segment
Sophie is selling cups of yellow lemonade and pink lemonade at her lemonade stand. She made 25 cups of yellow lemonade. She made 3 times as many cups of pink lemonade as yellow lemonade. Sophie has only sold 18 cups of pink lemonade. How many cups of pink lemonade does Sophie have left for sale?
Answer:
The answer is 57
Step-by-step explanation:
25 X 3 = 75
75 - 18 = 57
Good luck :)
Answer:
First multiply 25 by 3 which gives you 75.
You then take 75 minus the amount of pink lemonade she has already sold, which is 18.
Your answer should be 57.
So Sofie has 57 cups of pink lemonade left for sale.
Use the law of cosines to find the length of side C.
Answer:
[tex]\text{D. 36.64}[/tex]
Step-by-step explanation:
The Law of Sines is given by [tex]\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}[/tex] and works for any triangle.
Therefore, we have the proportion:
[tex]\frac{c}{\sin 41.5^{\circ}}=\frac{37}{\sin 42^{\circ}},\\\\c=\frac{37\sin 41.5^{\circ}}{\sin 42^{\circ}}=36.6399945706\approx \boxed{36.64}[/tex]
Im struggling with this one please help, thank you!
Answer:
use mathaway, trust me it'll help
Answer:
transitive property of congruent angles
Step-by-step explanation:
if x=y and y=z, then x=z
can you guys help please
The length of a rectangle is 24 more than its width. Find the area of the rectangle if its perimeter is 100 cm.
Answer:
481
Step-by-step explanation:
Lets say width = x
Length = x+24
Perimeter is 100 so
100=x+24+x+24+x+x
100=4x+48
100-48=4x
52=4x
x=13
So width = 13
Length = 37
37x13=481
t is inversely proportional to d^2 (d squared)
when t is 160 d is 8
find t when d is 0.5
Step-by-step explanation:
everything can be found in the picture
Adana has 4 skirts, 3 blouses, and
3 pairs of shoes. How many different
outfits can Adana make?
A: 7 outfits
B: 10 outfits
C: 12 outfits
D: 36 outfits
A car license plate is made up of 7 letters or numbers, where the numbers are whole numbers 0 through 9.
Suppose that a license plate is randomly generated, one character at a time.
What is the probability that the first character is a number?
Enter your answer as a decimal rounded to the nearest hundredth in the box.
Answer:
0.28
Step-by-step explanation:
To know the probability we first need to know the total number of choices for each character in the license plate. Since there are a total of 10 possible numbers (0-9) and 26 letters in the English Alphabet. Then this means that each character has a total of 36 possible choices. Out of these 36 only 10 are numbers, therefore the probability of the first character being a number is
[tex]\frac{10}{36}[/tex] or 0.2777
If we rounded the decimal to the nearest hundredth it would be 0.28
Answer:
The correct answer is 0.28
Para la estudiantes de Español:
La respuesta correcta es 0.28
Step-by-step explanation:
Write 0.28 as the answer! It's correct.
Escribe 0.28 para la respuesta. Es correcto.
Sam finds that the area of a square measured in yards is 16. How could the this measurement be written? Check all that apply.
Answer:
4 yards
Step-by-step explanation:
Given data
Area of square =16 square yards
We know that area of square is
Area =l²
16=l²
l= √16
l=4 yards
Hence the dimension of the sides is 4 yards each
What is the value of the sum of all the terms of the geometric series 300, 60, 12, …?
=========================================
Work Shown:
a = 300 = first term
r = 60/300 = 0.2 = common ratio
We multiply each term by 0.2, aka 1/5, to get the next term.
Since -1 < r < 1 is true, we can use the infinite geometric sum formula below
S = a/(1-r)
S = 300/(1-0.2)
S = 300/0.8
S = 375
----------
As a sort of "check", we can add up partial sums like so
300+60 = 360300+60+12 = 360+12 = 372300+60+12+2.4 = 372+2.4 = 374.4300+60+12+2.4+0.48 = 374.4+0.48 = 374.88and so on. The idea is that each time we add on a new term, we should be getting closer and closer to 375. I put "check" in quotation marks because it's probably not the rigorous of checks possible. But it may give a good idea of what's going on.
----------
Side note: If the common ratio r was either r < -1 or r > 1, then the terms we add on would get larger and larger. This would mean we don't approach a single finite value with the infinite sum.
Help me ASAP!
The scale of this map is 1 inch = 50 miles. The ruler measures the distance between Mackinac Bridge and Chicago as 4 inches. How many actual miles are between these two cities?
Answer:
200 actual miles
Step-by-step explanation:
Find the actual distance by multiplying 50 by 4, since there are 50 miles in 1 inch.
50(4)
= 200
So, there are 200 actual miles between the two cities.
8.) Trey and Matt each have a rectangular prism. The base of Trey’s prism is 4 cm by 7 cm and has a height of 12 cm. The base of Matt’s prism is 6 cm by 10 cm and has a height of 3 cm. Whose rectangular prism will require more material to construct?
Answer:
Trey's rectangular prism will require more material to construct.
Explanation:
Trey's rectangular prism's surface area is more than Matt's rectangular prism's surface area.
Matt's prism volume is lower than Trey's prism, therefore Matt’s prism required more material to construct.
What is volume?Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.
Here,
The base of Trey’s prism is 4 cm by 7 cm and has a height of 12 cm.
Volume of Trey's prism = 4 × 7 × 12 = 336 cm³
The base of Matt’s prism is 6 cm by 10 cm and has a height of 3 cm.
Volume of Matt’s prism = 6 × 10 × 3 = 180 cm³
From the above calculation, Matt’s prism required more material to construct.
Learn more about Volume here:
https://brainly.com/question/1578538
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