Answer:
3885
Step-by-step explanation:
The sum of the first 35 terms will be 3885.
What is an arithmetic progression?The sequence in which every next number is the addition of the constant quantity in the series is termed as the arithmetic progression.
A number series is a number-based sequence. In the number series questions, we must identify the rules that lead to the formation of a number series.
Given that the series is 9, 15, 21, ..., The 35th term of the sequence will be calculated as,
Sn = n /2 [ ( 2a + ( n - 1 ) d]
Sn = 35 / 2 [ ( 2 x 9 + ( 35 - 1 ) 6)]
Sn = 35 /2 { 18 + ( 34 x 6 ) ]
Sn = 35 / 2 x 222
Sn = 3885
Hence, the sum of the 35 terms of the series will be 3885.
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Joe makes an hourly wage of $14.00. Last week, Joe worked 58 hours.
What is Joe's gross pay for this pay period?
Answer:
812 dollars 14 x 58 = $812 dollars.
Step-by-step explanation:
Answer:
I think it is 812 tell me if I'm wrong please
The library has allotted $480 for spring landscaping and has decided
to spend the money on flowering bushes. There is room to plant a total
of 36 bushes. Rose bushes cost $25 each and lavender bushes cost $5
each.
a. (2 PTS) Define your variables.
b. (3 PTS) Write an equation to represent the total number of bushes you
can purchase.
c. (3 PTS) Write an equation to represent the total cost of the bushes.
d. (3 PTS) How many of each type of bush should you purchase?
Answer:
a. x = roses
y= lavender
b. x + y=36
c. 25x + 5y = 480
d. 19 rose bushes and 1 lavender bush
Evaluate the expression \dfrac{4^x}{2^x}
2
x
4
x
start fraction, 4, start superscript, x, end superscript, divided by, 2, start superscript, x, end superscript, end fraction for x=3x=3x, equals, 3.
Answer:
4
Step-by-step explanation:
(2)²ˣ/2ˣ is the expression equivalent to 4ˣ/2ˣ.
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is 4ˣ/2ˣ.
start fraction, 4, start superscript, x, end superscript, divided by, 2, start superscript, x, end superscript, end fraction for x=3x=3x, equals, 3.
In the given expression x is the variable and division is the operator.
Which means Four to the power of x and divided by two to the power of x.
4ˣ/2ˣ.
The numerator 4ˣ can be written as (2)²ˣ
(2)²ˣ/2ˣ
Hence, (2)²ˣ/2ˣ is the expression equivalent to 4ˣ/2ˣ.
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What is the length of missing side X? Options are on photo
Help ASAP
Answer:
it should be 5 because its a rectangle
Answer:
x = 5cm
Step-by-step explanation:
Remember opposite sides of a rectangle are congruent
The opposite side of side "x" is equal to 5 cm therefore x = 5 cm
Important note! : The triangle does not change the side length as it is formed using it.
what is the lateral of a cone with 10 yd and 12.1 yd
Answer:
190.07 yd²
Step-by-step explanation:
Given that :
Base of cone = 10 yards
Height of cone = 12.1 yards
The lateral area of a cone is obtained using the relation :
π × r * l
Where r = Radius = base / 2
l = height of cone
Radius, r = 10/ 2 = 5 yards
Lateral area = π * 5 * 12.1
Lateral area = 190. 0666
Lateral area = 190.07 yd²
A 20-question multiple choice quiz has five choices for each question. Suppose that a student just guesses, hoping to get a high score. The teacher carries out a hypothesis test to determine whether the student was just guessing. The null hypothesis is p = 0.20, where p is the probability of a correct answer.
a. Which of the following describes the value of the z-test statistic that is likely to result? Explain your choice.
i. The z-test statistic will be close to 0.
ii. the z-test statistic will be far from 0.
b. Which of the following describes the p-value that is likely to result? Explain your choice.
i. The p-value will be small.
ii. The p-value will not be small.
Answer:
a) i. The z-test statistic will be close to 0, as the sample mean and the tested proportion are expected to be close values.
b) ii. The p-value will not be small, as the z-statistic is close to 0.
Step-by-step explanation:
The null hypothesis is p = 0.20
The teacher carries out a hypothesis test to determine whether the student was just guessing.
Test if the proportion is different from 0.2. So the alternate hypothesis is:
[tex]H_{a}: p \neq 0.2[/tex]
Five choices for each question, one of which is correct.
Probability of having a correct answer is [tex]X = \frac{1}{5} = 0.2[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
a. Which of the following describes the value of the z-test statistic that is likely to result?
In this question, [tex]X = p = \mu[/tex], which meas that the numerator of the z-statistic will be close to 0, which means that the z-test statistic will be close to 0.
b. Which of the following describes the p-value that is likely to result?
pvalue is 2 multiplied by the pvalue of Z(if negative), or 1 subtracted by the pvalue of Z(if positive).
Since the value of Z is close to 0, either the pvalue of Z or 1 subtracted by the pvalue of Z is close to 0.5, and multiplied by 2 will be close to 1. So, as Z is close to 0, the pvalue will not be small.
I am trying to find the answer to (in photo). But my calculator wont give me the answer. Does anyone know the answer to it? Or know how to calculate it without a calculator?
Answer:
[tex]\sqrt{13}[/tex] = 3.605551275......
Step-by-step explanation:
[tex]\sqrt{13}[/tex]
3.6
3 [tex]\sqrt{13}[/tex]
-9
36[tex]\sqrt{4}[/tex]00
do you need to know more... ??
9514 1404 393
Answer:
√13 ≈ 3.60555127546
"by hand": 3 4/7 or 398143/110425 or 3.6055 or 3 23/38
Step-by-step explanation:
Most on-line calculators, calculator apps for phone or tablet, and any spreadsheet can calculate this for you. The first attachment shows the result from the Go.ogle calculator.
Here, we describe 4 methods of approximating the root "by hand." That is, the calculations can be done with pencil and paper. They are easily within the capability of a 4-function calculator.
__
Method 1 -- Linear approximation
You can approximate it by hand in the following way.
√13 is between √9 = 3 and √16 = 4. As a first approximation, it is ...
3 + (13 -9)/(16 -9) = 3 4/7 ≈ 3.57 ≈ 3.6
This is a linear interpolation between √9 and √16.
_____
Method 2 -- Babylonian method
The "Babylonian method" can be used to refine this approximation. For the next guess, average this number and the quotient 13 divided by this number.
x = (3 4/7 + (13/(3 4/7))/2 = (25/7 + 13·7/25)/2 = (625 +637)/350 = 631/175
x = 3 106/175 ≈ 3.6057 . . . . . . good to 3 decimal places
One more iteration will double the number of correct decimal digits.
x = (3 106/175 + 13/(3 106/175))/2 = 398143/110425 ≈ 3.60555127915
(correct digits are highlighted)
_____
Method 3 -- "long division"
There is also a "long-division" method that develops the root one digit at a time. This is described in the second attachment, an extract from the NIST web site. For a number like 13, you would use 13.00 00 00 00 as the initial "dividend" to get a 4-digit root.
_____
Method 4 -- continued fraction
Once you realize that the root is between 3 and 4, you can write a "continued fraction" for the fractional part:
3 +x = √13 . . . . . . where x is the fractional part of the root
(3 +x)² = 13 . . . . . . square both sides
x² +6x +9 = 13 . . . expand the square
x(x +6) = 4 . . . . . . . subtract 9 and factor
x = 4/(6 +x) . . . . . . write as an iterator (continued fraction)
At this point, we can say x = p/q for some integers p and q. Then the next iteration is ...
p/q = 4/(6 +p/q) = 4q/(6q +p)
That is, successive approximations of x can be had by the transformation ...
(p, q) ⇒ (4q, 6q+p)
Starting with the linear interpolation fraction x=4/7, the next refinements using this method are ...
(p, q) = (4, 7) ⇒ (28, 46) = (14, 23)* ⇒ (92, 152) = (23, 38)
At this point, you have approximated the root as 3 23/38 ≈ 3.6053, accurate in the third decimal place. Convergence is clearly much slower than using the Babylonian method.
__
* We have reduced the fraction p/q = 28/46 to 14/23 in order to keep the numbers as small as possible. Similarly, 92/152 is reduced to 23/38.
You spin a spinner that is equally divided into 7 parts, and then you spin it again. 1 part is red, 2 parts are white, 3 parts are yellow and 1 part is black.
What is the probability of the spinner stopping on a white section on the first spin and then a red section on the second spin?
Answer:
[tex] \frac{2}{7} \: and \: \frac{1}{7} [/tex]
Line m passes through the points (-4.3) and (4.7). What is the slope of the line that is parallel to line m?
Step-by-step explanation:
slope equals to change in y/change in x
slope=7-3/4+4
=4/8=1/2
Check the pic please
I also want the steps pleaseee
Answer:
E) 5.4m
Step-by-step explanation:
ratio of triangle FGH : triangle JKL => 2.1 : 1.4
perimeter of triangle FGH = x
2.1 : 1.4 = x : 3.6
=> 1.4x = 2.1 × 3.6
=> x = 2.1 × 3.6 ÷ 1.4 = 5.4
Find the zeros of the function: p(x)=(x−1)(x^2−2x−2).
Answer:
x = 6, x = -4
Step-by-step explanation:
Suppose all the terms of a geometric sequence are
positive, and the common ratio r is between 0 and
1.
Is the sequence increasing of decreasing? Explain.
Answer: the sequence is increasing. The reason it is increasing because its atleaset increasing by one number.
Answer:
Step-by-step explanation:
this is called "monotonically decreasing" as the exponent on the ratio goes up , and the ratio is less than 1 but more than zero, the number gets smaller and smaller.... it approaches zero is what happens.
Find the 12th term of the arithmetic sequence whose common difference is d=-7 and whose first term is a = 10.
Answer:
87
Step-by-step explanation:
tn= a + (n-1)d
t12 = 10 + (12-1)7
=87
87+25
[tex]12 + 10 [/tex]
Answer:
Seriously?
U don't know the answer
HURRY IM TIMED ON EDGE Which is the best estimate for the percent equivalent to 3/8?
26%
279%
37%
38%
Answer:
C.) 37%
Step-by-step explanation:
[tex]\frac{3}{8}[/tex] as a percentage is 37.5%
[tex] \purple{ \huge{\mathtt{✨Answer✨}}}[/tex]
C. 37%
Find the absolute maximum of (x^2-1)^3 in the interval [-1,2]
Let f(x) = (x ² - 1)³. Find the critical points of f in the interval [-1, 2]:
f '(x) = 3 (x ² - 1)² (2x) = 6x (x ² - 1)² = 0
6x = 0 or (x ² - 1)² = 0
x = 0 or x ² = 1
x = 0 or x = 1 or x = -1
Check the value of f at each of these critical points, as well as the endpoints of the given domain:
f (-1) = 0
f (0) = -1
f (1) = 0
f (2) = 27
So max{f(x) | -1 ≤ x ≤ 2} = 27.
If the logarithm of 5832 is 6, what is the base?
[tex] logx(5832) = 6[/tex]
Answer:
The base is 4.2426.
Step-by-step explanation:
Logarithm definition:
Suppose we have that:
[tex]\log_{a}{b} = c[/tex]
It means that;
[tex]b = a^c[/tex]
In this question:
[tex]\log_{x}{(5832)} = 6[/tex]
It means that:
[tex]x^6 = 5832[/tex]
[tex]x = \sqrt[6]{5832}[/tex]
[tex]x = (5832)^{\frac{1}{6}}[/tex]
[tex]x = 4.2626[/tex]
The base is 4.2426.
HELP ON THIS QUESTION !!!!!!!!
Answer:
b
Step-by-step explanation:
i took the test
find the number set which satisfies each of these problems:
if three is added to the absolute value of the product of a number and -9, the result will be 4
Answer:
The answer is -5.
Step-by-step explanation:
The absolute value of -9 is 9.
Then it would be like 4= x + 9.
If you solve it, you get -5.
need help with math its a struggle
Answer:
(1,4)
(0,0)
Step-by-step explanation:
smarts
Answer:
1,4
0,0
Step-by-step explanation:
whatever is in the purple is valid and the closed line is inclusive so anything on it counts but the dotted line is exclusive
Sharina simplified the expression 3(2x – 6 – x + 1)2 – 2 + 4x. In Step 1 she simplified within the parentheses. In Step 2 she expanded the exponent.
Which is a possible next step?
1 pts
So
Sales
SE
According to
the data given, sza
what is the
sales amount
when the
temperature is
18 degrees C?
Temperature
g(x)=x^2-5x
f(x)=2x+1
Find (g-f)(x)
Answer:
(g-f)(x) = x²-7x -1
Step-by-step explanation:
hello :
g(x)=x²-5x f(x)=2x+1
(g-f)(x) =g(x) - f(x) = x²-5x- ( 2x+1 ) = x²-5x - 2x-1
(g-f)(x) = x²-7x -1
What is the product of (6a + 7) (5a – 4)?
Answer:
30a²+11a−28
Step-by-step explanation:
(6a+7)(5a−4)
=(6a+7)(5a+−4)
=(6a)(5a) + (6a)(−4) + (7)(5a) + (7)(−4)
=30a² − 24a + 35a − 28
=30a² + 11a − 28
Hope I helped! (p.s. maybe brainliest answer)
!!ASAP!! Please help marking brainliest w/ points!!
—————-
Select yes or no for each expression to determine whether it is or can be written as a monomial!
Answer:
1. yes
2. no
3. yes
4. yes
5. no
Step-by-step explanation:
Which is a better deal on a $345 item: 40% off original price or 30% off and additional 15% at the register?
Answer:
345 - 40% = 207$
Step-by-step explanation:
(345 - 30%) - 15% = 205.3 (Better deal)
Answer:
30% off and additional 15% at the register
Step-by-step explanation:
Deal 1
$345 × 40% = $138
$345 - $138 = $207
Deal 2
$205.30
Can you help me please?
9514 1404 393
Answer:
13
Step-by-step explanation:
The segments WX and WY are congruent, so ...
5n -2 = 2n +7
3n = 9 . . . . . . . . . . add 2-2n to both sides
n = 3 . . . . . . . . . . . .divide by 3
WY = 2n +7 = 2(3) +7 . . . . substitute for n in the expression for WY
WY = 13
Which of the following equations could be solved to determine the length of QR?
Answer: D
Step-by-step explanation:
I need help with my math assignment please
Answer:
angles 1 and 6
Step-by-step explanation:
Answer:
C. angle 2 and angle 7
Step-by-step explanation:
hope this helps, have a nice day :)
HELP ASAP NO LINKS PLEASE HELP