Answer:
x ≈ 24.4
Step-by-step explanation:
Given
tan18° = [tex]\frac{x}{75}[/tex] ( multiply both sides by 75 )
75 × tan18° = x , then
x ≈ 24.4 ( to 1 dec. place )
pls help me
Which of the following is not a solid figure?
A.cube
B.cylinder
C.prism
D.rectangle
Answer:
c.prism is not solid figure
Answer:
rectangle
Step-by-step explanation:
rectangle isn't a solid figure
Which rule defines Sn for a Subscript n Baseline = 5 (three-fourths) Superscript n? S Subscript n Baseline = 15 (three-fourths) Superscript n S Subscript n Baseline = 5 (three-fourths) Superscript n S Subscript n Baseline = 15 (1 minus (three-fourths) Superscript n) S Subscript n Baseline = 5 (1 minus (three-fourths) Superscript n)
ANSWER: C
Answer:
C
Step-by-step explanation:
Answering your question so it will not get removed.
The correct option for the question is C. [tex]S_{n}[/tex] = 15 [ 1 - [tex](3/4)^{n}[/tex] ]
What is a Geometric progression?If in a sequence of terms, each succeeding term is generated by multiplying each preceding term with a constant value, then the series is referred to as a geometric progression. (GP), while the constant value is called the common ratio.
Conclusion: The nth term from the end of the GP with the last term l and common ratio r = l/ [r(n – 1)]. The sum of infinite, i.e. the sum of a GP with infinite terms is S∞= a/(1 – r) such that 0 < r < 1.
[tex]a_{n}[/tex] = 5[tex](3/4)^{n}[/tex]
[tex]S_{n}[/tex]= Σ[tex]a_{n}[/tex]
[tex]S_{n}[/tex] = ∑5[tex](3/4)^{n}[/tex]
= 5∑[tex](3/4)^{n}[/tex]
= 5 [ 3/4 + [tex](3/4)^{2}[/tex] + ......+ [tex](3/4)^{n}[/tex]]
=5 [ 3/4 * { 1- [tex](3/4)^{n}[/tex]} / 1 - 3/4 ]
[tex]S_{n}[/tex] = 15 [ 1 - [tex](3/4)^{n}[/tex] ]
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Use the function below to find F(3).
F(x) = (1/4)^x
Answer:
The answer is 0.015625
Answer:
Step-by-step explanation:
F(x) = (1/4)^x F(3)
F(3) = (1/4)^3
F(3) = (1/4)×(1/4)×(1/4)
F(3) = 1/64
When writing a summary about the theme you should....
A
Include the theme in the first sentence.
B
Write what the message shows you.
C
Write details about the story.
D
All of the above.
Answer: D, All of the above
Step-by-step explanation:
1 hour 31 minutes =
minutes
Answer:
91 minutes
Step-by-step explanation:
1 hour= 60 minutes.
31 minutes + 60 minutes = 91 minutes.
If this helps please mark as brainliest
Answer:
91 minutes
Step-by-step explanation:
1 hour = 60 minutes
60 + 31 = 91 minutes
Use I = PRT to find the total amount in the savings account.
$1555.00 at 8% for 2 years
PLEASE HELP ASAP
Answer:
[tex]\boxed {\boxed {\sf \$ 1803.80}}}[/tex]
Step-by-step explanation:
We are using the formula I=PRT and calculating simple interest.
[tex]I=PRT[/tex]
I is the interest, P is the principal or starting amount, R is the interest rate as a decimal, and T is the time in years.
We know that there is $1555.00 at 8% for 2 years. First, convert the interest rate to a decimal. Divide the rate by 100 or move the decimal place 2 spots to the left.
8/100 = 0.08 8. --> 0.8 --> 0.08Now we know all the values:
P= 1555.00 R= 0.08T= 2Substitute the values into the formula.
[tex]I= (1555.00)(0.08)(2)[/tex]
Multiply.
[tex]I=124.4(2)[/tex]
[tex]I=248.8[/tex]
The account earned $248.80 in interest, but the question asks for the total amount in the account. We must add the interest to the starting amount.
[tex]1555.00 +248.80[/tex]
[tex]1803.8[/tex]
After 2 years, the savings account had $1803.80
Step-by-step explanation:
Principal=P=1555
Rate of Interest=I=8%=0.08
Time=t=2
Interest=I=PRT
➜1555×0.08×2
➜248.8
Savings=P+I➜1555+248.8
➜1803.8
I really need help guys!
Which variable will you choose to eliminate? How? -3x -8y=-24 and
3x - 5y= 45
Answer:
Lets choose y
-8y=3x-24y=-3/8x+3Plug in
3x+15/8x-15=45 39/8x= 60 x=480/39Answer:
I'll choose 'x' variable first to eliminate because -
-3 (coefficient of 'x' in Eqn.1) & 3 (coefficient of 'x' in Eqn.2) are additive inverses of each other , so they can be easily eliminated by simply adding those equations. It can be also solved by using elimination method but you'll need to multiply -1 with either Eqn.1 or Eqn.2 because in elimination method , a variable can be eliminated only when their coefficients are numerically equal (along with their sign).Step-by-step explanation:
Eqn.1 → -3x - 8y = -24
Eqn.2 → 3x - 5y = 45
If we'll add both the equations , then '3x' would be getting cancelled first.
⇒ [tex](-3x - 8y) + (3x - 5y) = (-24) + (45)[/tex]
⇒ [tex]3x - 3x - 8y - 5y = 45 - 24[/tex]
⇒ [tex]-13y = 21[/tex]
⇒ [tex]y = \frac{-21}{13}[/tex]
Putting the value of y in eqn.2 ,
⇒ [tex]3x - 5(\frac{-21}{13}) = 45[/tex]
⇒ [tex]3x + \frac{105}{13} = 45[/tex]
⇒ [tex]3x = 45 - \frac{105}{13}[/tex]
⇒ [tex]3x = \frac{585 - 105}{13} = \frac{480}{13}[/tex]
⇒ [tex]x = \frac{480}{13 \times 3} = \frac{480}{39}[/tex]
Reducing the fraction gives ,
⇒ [tex]x = \frac{160}{13}[/tex]
find lim h->0 f(9+h)-f(9)/h if f(x)=x^4 a. 23 b. -2916 c. 2916 d. 2925
[tex]\displaystyle\lim_{h\to0}\frac{f(9+h)-f(9)}h = \lim_{h\to0}\frac{(9+h)^4-9^4}h[/tex]
Carry out the binomial expansion in the numerator:
[tex](9+h)^4 = 9^4+4\times9^3h+6\times9^2h^2+4\times9h^3+h^4[/tex]
Then the 9⁴ terms cancel each other, so in the limit we have
[tex]\displaystyle \lim_{h\to0}\frac{4\times9^3h+6\times9^2h^2+4\times9h^3+h^4}h[/tex]
Since h is approaching 0, that means h ≠ 0, so we can cancel the common factor of h in both numerator and denominator:
[tex]\displaystyle \lim_{h\to0}(4\times9^3+6\times9^2h+4\times9h^2+h^3)[/tex]
Then when h converges to 0, each remaining term containing h goes to 0, leaving you with
[tex]\displaystyle\lim_{h\to0}\frac{f(9+h)-f(9)}h = 4\times9^3 = \boxed{2916}[/tex]
or choice C.
Alternatively, you can recognize the given limit as the derivative of f(x) at x = 9:
[tex]f'(x) = \displaystyle\lim_{h\to0}\frac{f(x+h)-f(x)}h \implies f'(9) = \lim_{h\to0}\frac{f(9+h)-f(9)}h[/tex]
We have f(x) = x ⁴, so f '(x) = 4x ³, and evaluating this at x = 9 gives the same result, 2916.
The point-slope equation of a line is
A. y + x - Xoyo = m
B. y= m(x - Yo)
O C. y+ mx - mxoyo
D. y-yo = m(x- xo)
Answer:
[tex]y - y_1 = m(x - x_1)[/tex]
Step-by-step explanation:
Given
A to D
Required
Which is the point slope equation
The point slope form of a coordinate pair is:
[tex]y - y_1 = m(x - x_1)[/tex]
Hence, (d) is correct
An equation is shown below: 1 over 2 multiplied by x plus 3 over 2 equals 2 to the power of x What is the solution to the equation? (4 points) x = 1 x = 2 x = 4 x = 8
Answer: x = 1!
Step-by-step explanation:
help me please and thank u

Answer:
12.625 gets you a sucky car
Step-by-step explanation:
Graph the image of N(3, -1) after a rotation 180° clockwise around the oriGin
Answer:
(-3, 1)
Step-by-step explanation:
180° rotation clockwise: (x,y) becomes (-x,-y)
Evaluate x divided 4 for x=48
Answer:
12
Step-by-step explanation:
x/4
Let x=48
Replace x in the expression
48/4
12
Plot the numbers -1.5,3/2,-3/2,-4/3 on the number line. label each point with its numeric value. true of false
please I need help
10.
V=720 cm
L=?
P=15 cm
T=8 cm
A. 6 cm
B. 8 cm
C.10 cm
D. 12 cm
Answer:
6 cm
Step-by-step explanation:
Given the information :
V=720 cm
L=?
P=15 cm
T=8 cm
The volume = L * P * T
V = L * P * T
720 = L * 15 * 8
720 = L * 120
L = 720 / 120
L = 6 cm
If (x, 0) lies on the graph of y = logbx , then x =
1
B
0
Answer:
1
Step-by-step explanation:
which table represents a linear function? HELP FAST PLEASE
Answer:
the bottom left
Step-by-step explanation:
A linear function will have a constant slope so the bottom left graph is the only one with a constant slope. The y-values are all increasing by 2.
Write an equation which has 8 as its solution.
Answer:
look at the picture i sent......
One spinner is divided into three equal sections numbered 1 to 3. A second spinner is divided into six equal sections numbered 4 to 9. How many total outcomes are there if both spinners are spun?
○ 9
○ 12
○ 18
○ 27
Answer:
The numbers do not matter. There are 3 outcomes for the first spinner and 6 outcomes for the second. 6x3 is 18. For each of the 3 outcomes for the first spinner there are 6 for the second.
1,4
1,5
1,6
1,7
1,8
1,9
2,4
2,5
2,6
2,7
2,8
2,9
3,4
3,5
3,6
3,7
3,8
3,9
Answer:
18
Step-by-step explanation:
The first spinner has 3 outcomes; the second spinner has 6 outcomes independent of the first spinner's outcome. In other words, what happens to the second spinner has nothing to do with the outcome of the second spinner. There are 3 x 6 = 18 possible outcomes for both spinners.
Here's a complete list of outcomes (see the attached image).
The probability of getting a A in mr Atkesons class is 25% what is the probability of not getting a A
Answer:
75%
Step-by-step explanation:
100% - 25% = 75%
<3 Enjoy,
Dea
Geometry i need help with this geometry question
Answer:
RS/XY = ST/YZ
Step-by-step explanation:
They need to follow the same direction and same length in comparision to the rest. From what I can see, that seems to be the one that does that best.
Which mixed number is equivalent to 38 divided by 7
The mixed number equivalent to 38 divided by 7 is 5 3/7.
To find the mixed number equivalent to 38 divided by 7,
we need to divide 38 by 7 and express the result as a mixed number.
=38 ÷ 7
= 5 remainder 3
Or 7 | 38 | 5
35
______
3
So, the quotient is 5 and the remainder is 3.
So, the mixed number equivalent to 38 divided by 7 is 5 3/7.
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Simplify
1/6 / 1 3/8
Answer:
1/6 = 1/6 (already simplified) 1 3/8 = 11/8
Step-by-step explanation:
Write the fraction as a decimal and as a percent.
1
4
1
3
Answer:
1/4 as decimal =0.25
and as percentage 25%
1/ 3 as decimal = 0.33
and as percentage = 33.33%
A class consists of 20 sophomores and 15 freshmen. The club needs to choose four different members to be president, vice president, secretary, and treasurer. In how many ways is this possible if sophomores will be chosen as president and treasurer and freshmen as vice president and secretary?
Please explain your answer instead of just providing the answer for the points!
Answer:
There are 79,800 ways in which this is possible.
Step-by-step explanation:
The order in which the students are chosen is important(due to different roles), which means that the permutations formula is used to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In this question:
2 sophomores from a set of 20.
2 freshmen from a set of 15. So
[tex]P_{20,2}*P_{15,2} = \frac{20!}{18!}*\frac{15!}{13!} = 20*19*15*14 = 79800[/tex]
There are 79,800 ways in which this is possible.
WHATS THE ANSWER?? answer ASAP
5) Mrs. Bell went bowling again. Her bowling scores were 100, 172, 85, and 92. She wants
her average to be 115. What does she need to bowl on the next game?
Answer: She needs to bowl 120 or more on her next game.
Step-by-step explanation:
Here’s the next problem:)
Answer:
disagree
Step-by-step explanation:
toa=opposit over adjacent= 12/9
tan(x)=12/9
tan^-1=12/9
x= 53.1
Answer:
Disagree
Step-by-step explanation:
x actually equals 53.13
Help with the Pythagorean Theorem
Answer:
A=5
B=3
C=5.83
A^2+B^2=C^2
Answer:
5.83
Step-by-step explanation:
u see this is how the Pythagorean theorem works a^2 + b^2 = c^ i hope this helps have a great day bye please mark as brainliest :D