To be a member at sal's gym, there is a one-time sign-up fee plus a monthly fee for each month of membership. the table shows the total cost to be a member of the gym for different numbers of months.
Answers
Related Questions
Solve this equation by undoing
AKA solve for x
2x + 8 = 26
Answers
Step-by-step explanation:
\(2x + 8 = 26 \\ \)
\(2x + 8 - 8 = 26 - 8\)
\(2x = 18\)
\(x = \frac{18}{2} \\ \)
\(x = 9\)
Answer:
\(\boxed{\tt x=9}\)Step-by-step explanation:
\(\tt 2x + 8 = 26\)
Subtract 8 from both sides:-
\(\tt 2x+8 \bf{-8}= \tt 26 \bf{-8}\)
\(\tt 2x=18\)
Divide both sides by 2:-
\(\tt \cfrac{2x}{\bf2}=\cfrac{18}{\bf2}\)
\(\tt x=9\)
___________________
Hope this helps!
Have a great day!
Use a diagram to show that (3x+1)(x+2) is equivalent to 3x2+7x+2.
Answers
3x*2 = 6x
x*1 = x
1*2 = 2
that's basically the FOIL method, multiply first terms, the x terms
then the outside terms, the the inside terms, then the constant (last) terms
F=first, O=outside, I = Inside, L = last
add them up to get 3x^2 +6x +x + 2 = 3x^2 +7x +2
(3x+1)(x+2) = 3x^2 +7x+2
draw a rectangle with one side as 3x+1, the other side as x+2. The area of the rectangle is their product
divide the rectangle into 4 smaller rectangles. with sides 3x by x, 3x by 2, x by 1 and 2 by 1
calculate the areas of each rectangle the sum them.
standard form is
y=ax^2 +bx + c or
f(x) = x^2 +7x +2 where a=1, b=7, c=2
another standard form is to put the quadratic equation in vertex form
by completing the square
f(x) or y = x^2 +7x + 49/4 = -2 + 49/4
y = (x+3/2)^2 = 41/4
where the vertex = (3/2,41/4)
standard equation in vertex form is
y= a(x-h)^2 + k where (h,k) = vertex = (3/2,41/4) with a=1
It's an upward opening parabola with y intercept = 41/4 = 10 1/4, axis of symmetry x=3/2
et f(x)=2(4)^x+1 −2.
The graph of f(x) is translated 7 units to the left to form the graph of g(x).
g(x) =
(btw only x + 1 is ^)
Answers
Answer: \(2(4)^{x+8}-2\)
======================================================
Explanation:
To translate or shift 7 units to the left, we replace x with x+7
So,
\(f(x) = 2(4)^{x+1}-2\\\\f(x+7) = 2(4)^{x+7+1}-2\\\\f(x+7) = 2(4)^{x+8}-2\\\\g(x) = 2(4)^{x+8}-2\\\\\)
--------------
Extra info:
If you're wondering "why x+7 and not x-7?" it's because we effectively moved the xy axis 7 units to the right while keeping the f(x) curve fixed in place. This gives the illusion the f(x) curve is moving 7 units to the left.
The graph of each is shown below. I used GeoGebra to make the graph.
10r minus 2r plus 4 minus 7r plus 3
Answers
The answer would be...
R + 7
Step-by-step explanation:
collect like terms
10r - 2r - 7r + 4 - 3 =
= r + 1
At a large university, an SRS of 25 male faculty members included 10 men who felt that the university was supportive of female and minority faculty. An SRS of 20 female faculty members found five women who felt the university was supportive of female and minority faculty. Let p 1
and p 2
represent the proportion of all male and female faculty members, respectively, who felt that the university was supportive of female and minority faculty. A 95% plus four confidence interval for p 1
−p 2
is: 0.135±0.263
0.135±0.27
0.15±0.263
0.15±0.27
Answers
The correct answer is 0.135 ± 0.263. To calculate the confidence interval, we first need to find the point estimate of p1-p2, which is (10/25) - (5/20) = 0.1 - 0.25 = -0.15.
Next, we need to calculate the standard error of the difference between two proportions:
SE = sqrt[(p1(1-p1)/n1) + (p2(1-p2)/n2)]
where p1 = 10/25 = 0.4, n1 = 25, p2 = 5/20 = 0.25, and n2 = 20.
Plugging in the values, we get:
SE = sqrt[(0.40.6/25) + (0.250.75/20)]
SE = 0.165
To construct a 95% confidence interval, we use a z-score of 1.96 (for a two-tailed test):
CI = (-0.15) ± (1.96 * 0.165)
CI = -0.135 to -0.165
CI = 0.135 ± 0.03
CI = 0.135 ± 0.263
Therefore, the correct answer is 0.135 ± 0.263.
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HELP PLEASE I'M TIMED!!!
Answers
Answer:
9
Step-by-step explanation:
9
Answer:
The answer is B. 9
keys for antique cars had seven parts, with three patterns for each part.(a) how many different key designs are possible for these cars?
Answers
This can be simplified to 3^7, which equals 2,187. So, there are 2,187 different key designs possible for these antique cars.
To determine the number of different key designs possible for antique cars with seven parts and three patterns for each part, we can use the multiplication principle of counting.
This principle states that if there are m ways to perform one action and n ways to perform another action, then there are m x n ways to perform both actions together.
Therefore, the number of different key designs possible can be calculated by multiplying the number of patterns for each part together. In this case, we have three patterns for each of the seven parts, so we can calculate the number of possible designs by using the formula 3^7.
Using a calculator, we can see that 3^7 is equal to 2,187. Therefore, there are 2,187 different key designs possible for antique cars with seven parts and three patterns for each part. It's worth noting that not all of these designs may have actually been produced or used, but this calculation gives us the total number of possibilities based on the given information.
Hi! I'd be happy to help you with your question. To determine the number of different key designs possible for these antique cars, we can use the multiplication principle of counting. Since there are 7 parts to each key and 3 patterns for each part, we can multiply the number of patterns for each part together to find the total number of key designs.
The calculation would be: 3 (patterns for part 1) × 3 (patterns for part 2) × 3 (patterns for part 3) × 3 (patterns for part 4) × 3 (patterns for part 5) × 3 (patterns for part 6) × 3 (patterns for part 7).
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The depths of her dives are -6.9 ft, -8 2/5 ft, and -7.5 ft. she dives three more times with each dive 0.75 feet deeper than each of the first three dives.
PART A:
Write and then evaluate an express to determine the length, in decimal form, of her fourth dive
EXPRESSION:
FOURTH DIVE:________ FT
PART B:
Write and then evaluate an expression to determine the depth, in decimal form, of her fifth dive
EXPRESSION
FIFTH DIVE:______FT
PART C:
Write and evaluate an expression to determine the depth, in decimal form, of her sixth dive
EXPRESSION:
SIXTH DIVE:
Answers
The length of her fourth dive is -8.25 feet. The depth of her fifth dive is -9 feet. The depth of her sixth dive is -9.75 feet.
PART A:
To determine the length, in decimal form, of her fourth dive, we need to find an expression that represents the depth of the fourth dive. Since each subsequent dive is 0.75 feet deeper than the previous dives, we can write the expression as:
FOURTH DIVE = -7.5 ft - 0.75 ft
Evaluating the expression:
FOURTH DIVE = -8.25 ft
Therefore, the length of her fourth dive is -8.25 feet.
PART B:
To determine the depth, in decimal form, of her fifth dive, we can use a similar approach. The fifth dive is 0.75 feet deeper than the fourth dive. Thus, the expression for the fifth dive would be:
FIFTH DIVE = -8.25 ft - 0.75 ft
Evaluating the expression:
FIFTH DIVE = -9 ft
Therefore, the depth of her fifth dive is -9 feet.
PART C:
To determine the depth, in decimal form, of her sixth dive, we again consider that each subsequent dive is 0.75 feet deeper than the previous dive. So, the expression for the sixth dive is:
SIXTH DIVE = -9 ft - 0.75 ft
Evaluating the expression:
SIXTH DIVE = -9.75 ft
Therefore, the depth of her sixth dive is -9.75 feet.
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Question 1 (3 points)
Match the compisite figures to it's area.
For any composite figures including circles, use 3.14 for \large \pi
Column A
1.
:
2.
:
3.
:
Column B
a.151 cm squared
b.4846.40 cm squared
c.156 cm squared
d.1,379.84 cm squared
e.1,285.64 cm squared
f.114 cm squared
g.Answer not given
h.576 cm squared
i.72 cm squared
j.108 cm squared
k.66 cm squared
Question 2 (1 point)
a
576 sq ft
b
492 sq ft
c
472 sq ft
d
388 sq ft
Question 3 (4 points)
Find the area of the composite figures below.
Use 3.14 for \large \pi
Column A
Column A
1.
:
2.
:
3.
:
4.
:
Column B
a.91.8 in. squared
b.64 in. squared
c.59.8 in. squared
d.464 in. squared
e.99.25 in. squared
f.181.4 in. squared
g.189.25 in. squared
h.96 in. squared
i.228.5 in. squared
j.Answer not given
Answers
Answer:
a is the awnsers don't ask why
What are the solutions to 40x2 – 30x = 135? Select all that apply.
Answers
Answer:
-3/2, 9/4
Step-by-step explanation:
On Dec. 10, Merchandise is sold for $2,0002/10, n/30 to ABC who sends a remittance on Dec. 26 . What is the amount of remittance? a. 1,800 b. 1,400 c. 1,960 d. 2,000
Answers
The amount of the remittance from ABC is $1,960.
The given information states that merchandise is sold for $2,000 with terms of 2/10, n/30 to ABC. The terms 2/10, n/30 imply a 2% discount if payment is made within 10 days, with the full amount due within 30 days.
Since ABC sends a remittance on Dec. 26, it means the payment is made after the discount period but within the credit period. Therefore, ABC is not eligible for the discount of 2%.
To calculate the amount of the remittance, we simply subtract the discount from the total amount. In this case, the discount is $2,000 * 2% = $40. Thus, the remittance amount is $2,000 - $40 = $1,960.
In conclusion, the amount of the remittance from ABC is $1,960, as they did not qualify for the early payment discount.
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Use synthetic division and the factor theorem to determine whether x−5 is a factor of f(x). f(x)=2x^3−15x^2+31x−30 Complete the first row of the synthetic division table. Is x−5 a factor of f(x) ? A. Yes, (x−5) is a factor because, when f(x) is divided by (x−5), the remainder is. B. No, (x−5) is not a factor because, when f(x) is divided by (x−5), the remainder is.
Answers
We have to determine whether x-5 is a factor of f(x) using the synthetic division and factor theorem. Steps for Synthetic Division are as follows.
Write down the coefficients of the function in descending order and change the sign of the constant. Write the constant divisor to the left of the coefficients. Bring down the first coefficient.
Multiply the divisor with the first term in the quotient and place the product beneath the second term of the dividend.
Subtract the value obtained from the third term of the dividend. T
he answer is written beneath the line.
Yes, (x−5) is a factor because, when f(x) is divided by (x−5), the remainder is 0.
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Find the lateral surface area of this
cylinder. Round to the nearest tenth.
r = 5 cm
5 cm
LSA = [ ? ] cm2
Enter
Answers
Answer:
\(A=157.07\ cm^2\)
Step-by-step explanation:
Given that,
The radius of a cylinder, r = 5 cm
Height of the cylinder, h = 5 cm
We need to find the lateral surface area of the cylinder. The formula for the lateral surface area of the cylinder is given by :
\(A=2\pi r h\)
Put all the values,
\(A=2\pi\times 5\times 5\\\\=157.07\ cm^2\)
So, the lateral surface area of the cylinder is \(157.07\ cm^2\).
Which two statements describe a story told from the first-person point of view? Responses The pronouns he, she, and they are used. The pronouns , he, , , she, , and , they, are used. The narrator tells the story as it happens to him or her. The narrator tells the story as it happens to him or her. Events and characters are described by an outside narrator. Events and characters are described by an outside narrator. The story is told using words like I, me, and my
Answers
A story told from the first-person point of view is described by the use of words like "I", "me", and "my".
The first-person point of view is used when the narrator of the story is a character in the story and describes events and characters from their own perspective. This point of view is characterized by the use of first-person pronouns like "I", "me", and "my". When the story is told from the first-person point of view, the narrator tells the story as it happens to him or her, which means that events and characters are described from the narrator's point of view. In contrast, stories told from a third-person point of view use pronouns like "he", "she", and "they" to describe the events and characters from an outside narrator's point of view.
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Kristen is excited for her first overnight camping trip with her scout troop. the troop needs to take some parent chaperones with the on the trip. for a trip with s scouts, they need at least s/5 chaperones. there are 15 scouts going on the camping trip.
Answers
They may choose to bring 4 chaperones or even more depending on their preferences and logistical constraints.
How many chaperones are needed for the camping trip with 15 scouts?For the camping trip with 15 scouts, they will need at least 15/5 = 3 chaperones.
However, it's possible that they may want to have more than the minimum number of chaperones for additional supervision and safety. The number of chaperones they choose to bring may also depend on the ratio of chaperones to scouts that they want to maintain.
So, they may choose to bring 4 chaperones (1 chaperone for every 3.75 scouts), 5 chaperones (1 chaperone for every 3 scouts), or even more depending on their preferences and logistical constraints.
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What does variability mean in mean absolute deviation?.
Answers
The mean absolute deviation (MAD), a measure of variability, illustrates the typical distance between an observation's mean and its variation. MAD uses the data's original units to facilitate interpretation.
Greater values indicate a wider range of data points than the average. The term "variability" refers to how much a data collection varies from one constituent to another. Variability measures reflect the level and magnitude of change within the data collection.
The interquartile range and the mean average deviation are the two methods for calculating variability that are required by the requirements for sixth-grade pupils.
The majority of the data values are fairly near to the mean, as shown by a tiny mean absolute deviation. We can infer from a large mean absolute deviation that numerous data values are dispersed widely from the mean.
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find the lateral area and surface area of each prism. please show your work.
Answers
\(\stackrel{\textit{\Large Lateral Area}}{\stackrel{\textit{area of the 6 sides}}{6(12)(15)}\implies 1080} \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a regular polygon}\\\\ A=\cfrac{1}{2}ap~~ \begin{cases} a=apothem\\ p=perimeter\\[-0.5em] \hrulefill\\ p=\stackrel{6\times 12}{72}\\ a=10.39 \end{cases}\implies A=\cfrac{1}{2}(10.39)(72)\implies 374.04 \\\\[-0.35em] ~\dotfill\)
\(\stackrel{\textit{\Large Areas}}{\stackrel{lateral}{1080}~~ + ~~\stackrel{two~hexagons}{2(374.04)}}\implies 1828.08\qquad \leftarrow \textit{total surface area}\)
Find the probability of getting any triple-digit number where all the digits are the same in a lottery game that consists of selecting a three-digit number.
Answers
Thus, the probability is 1/100 or 0.01, which means there is a 1% chance of getting a triple-digit number with all the same digits in this lottery game.
To calculate the probability of getting a triple-digit number where all digits are the same in a lottery game that consists of selecting a three-digit number, you should first determine the number of favorable outcomes and the total possible outcomes.
There are 9 favorable outcomes, as the triple-digit numbers with the same digits are: 111, 222, 333, 444, 555, 666, 777, 888, and 999. Note that we don't include 000 since it's not a triple-digit number.
Now, let's find the total possible outcomes. In a three-digit number, there are 10 possible digits (0-9) for each of the three positions. However, the first position cannot be 0, as that would not be a triple-digit number.
So, there are 9 possible digits for the first position and 10 for the other two. The total possible outcomes are 9 x 10 x 10, which equals 900.
Finally, to find the probability of getting a triple-digit number with all the same digits, divide the number of favorable outcomes by the total possible outcomes:
Probability = Favorable Outcomes / Total Possible Outcomes
Probability = 9 / 900
The probability is 1/100 or 0.01, which means there is a 1% chance of getting a triple-digit number with all the same digits in this lottery game.
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What is the equation of the vertical asymptote of g(x)=4log2(x−2) 5 ? enter your answer in the box.
Answers
The equation of the vertical asymptote of the function \(g(x)=4log_{2} (x-2)+5\) is x=2.
What is vertical asymptote of a function?Vertical asymptotes are vertical lines that represent the zeros of a rational function's denominator. Asymptotes can also occur in other situations, such as logarithms. It occurs at the x-value that is outside the domain of the function, therefore the graph can never cross it.
How to find vertical asymptotes from graph?There may be a vertical asymptote along the vertical line if a portion of the graph is about to turn vertical. At the point of x along which you discovered the vertical asymptote, the function's value changes to either ∞ or -∞. A vertical asymptote, however, must never touch the graph.
Graph the function \(g(x)=4log_{2} (x-2)+5\)
(x,y)= (3,5), (4,9), (6,13)
From graph we can see that the graph is turning to be vertical from x=2. So, the equation of vertical asymptote of the function is x=2.
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The complete question is:
“What is the equation of the vertical asymptote of \(g(x)=4log_{2} (x-2)+5\)? enter your answer in the box.”
Tavon has a gist card for $145 that losses $3.50 for each 30-day period is not used. He has another gift card for $125 that losses $3 for each 30-day period it is not used. A. Write and solve an equation for the number of 30-day periods until the value of the gift cards will be equal. B. What will the value of each card be when they have equal value?
Answers
Step-by-step explanation:
A. For Tavon's gift card the equation is
let y be the total amount
let x be the number of 30 day period
y=145-3.5x------1
for Tavon's second gift card the equation is
let y be the total amount
let x be the number of 30 day period
y=125-3x-------------2
B. equating 1 and 2 we have
145-3.5x=125-3x
solve for x we have
145-125=-3x+3.5x
20=0.5x
divide both sides by x we have
x=20/0.5
x= 40
put x=40 in
y=145-3.5*40------1
y=145-140
y=$5
put x=40 in
y=125-3*40------1
y=125-120
y=$5
What is the greatest value in the range of y=x²-7 for the domain {-2,0,1}?
Answers
Answer:
f(-2) = - 3 is the greatest value in the given range
-------------------------------
GivenFunction y = x² - 7,Domain x = {- 2, 0, 1 }.Find the value for each domain and comparef(-2) = (-2)² - 7 = 4 - 7 = - 3f(0) = 0² - 7 = 0 - 7 = - 7f(1) = 1² - 7 = 1 - 7 = - 6The greatest value of the function is - 3.
Please help, correct answers please
PLEASE I DO NOT UNDERSTAND
Answers
Answer:
(1) 2, (2) -5/4, (3) 7/5, (4) -7/4, (5) 3/5, (6) -1/4, (7) 3, (8) -1/2, (9) 1/6
Step-by-step explanation:
each line had points on it. what you want to do is go to the bottom point. then go up until you hit the line where the other point is. then go to the side to where the other line is. make sure you're counting the whole time. if it can be simplified (ex: 2/4), simplify it. if the line is pointing to the left, it is negative. remember, rise over run, if pointing left it's negative, and draw a triangle from the points (which i didnt say but it works).
Which situation CANNOT be represented by the equation x + 12 = 30?
Total snowfall for the winter was 30 inches. In January, it snowed 12 inches. What is x, the amount of snow that fell during
the other winter months?
Maria had $12. When she combined her money with Sarah, they had $30. What is x, the amount of money Sarah had?
Juanita spent $30 at the store buying a shirt and shorts. She bought a shirt for $12. What is the cost, x, of the shorts?
James 12 miles on Monday and 30 miles on Tuesday. What is, x, the total number of miles James ran all together?
Answers
Answer: D IS THE CORRECT ANSWER
Step-by-step explanation: MARK BRAINLIEST PLS
Answer:
I took the test ._.
7. The histogram represents the distribution of the number of seconds it took
for each of 50 students to find the answer to a trivia question using the
internet. Which interval contains the median? (Lesson 1-3)
22
24
20
18
16
14
12
10
8
6
4
5 10 15
Time (seconds)
(A) 0 to 5 seconds
B.) 5 to 10 seconds
10 to 15 seconds
20 25 30
15 to 20 seconds
Answers
Answer: B
Step-by-step explanation:
man runs for an hour and a half at 8 miles an hour due south. he then continues south on a bus traveling at 55 miles an hour for 24 minutes. how far d
Answers
A man runs for an hour and a half at 8 miles an hour due south. he then continues south on a bus traveling at 55 miles an hour for 24 minutes. He will traveled 34 miles.
He covered 8 miles the first hour, and then half of that in his next half hour,
So, 8+4 = 12 miles.
The bus took 24 minutes, which is \(\frac{2}{5}\) of an hour.
\(\frac{60}{5} = 12\)
So, after 12 minutes on the bus, he travelled \(\frac{55}{5} = 11\) miles
And after 24 minutes, 22 miles.
In total 12+22=34 miles.
Speed(v) is related to distance(d) and time(t) by
v= \(\frac{d}{t}\).
Equivalently, d= v×t
So, d= 8×1.5+55×24×\(\frac{1}{60}\)
= 34 miles.
Therefore, he traveled 34 miles.
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What is the decimal equivalent of
7/8
?
A. 0.780
B. 0.870
C. 0.875
D. 0.885
Answers
Sara went shopping and bought a pair of shoes for $33.00. The shoes cost $35.31 after tax. What was the tax rate?
Answers
Step-by-step explanation:
so if 33.00$ were 100% then you have to fund how many % is 35.31$
to do that you can just multiply 35.31$ to 100 and then divide it too 33.00$
\((35.31 \times 100) \div 33 \)
that is 107 % and so
35.31 = 107%
33.00=100%
substract 107 from 100 and you get the tax rate
107-100=7 % tax
hope you understood :)
Answer:
7%
Step-by-step explanation:
Tax price = 35.31 - 33
=>Tax price = 2.31
Tax rate = Tax Price/Original Price x 100
= 2.31/33 x 100
= 0.07 x 100
= 7%
can you guys help me with this fast
Answers
Answer:
1/2¹⁵ or 2⁻¹⁵
Step-by-step explanation:
2³ / (2⁶)³
2³ / 2¹⁸ (The exponents multiply in such cases)
1 / 2⁽¹⁸⁻³⁾
1/2¹⁵ or 2⁻¹⁵
What is the area of the figure?
(NEED THE ANSWER ASAP. PLEASE DONT PUT ANYTHING NONSENSE OR I'LL REPORT U. THANK U FOR UR HELP)
Answers
The area of the given figure is 12 square meters
The given figure is a parallelogram
Parallelogram is a geometric figure that has both pair of opposites parallel sides and opposite sides are equal . Number of vertices and edges are four
The height of the parallelogram = 2 meters
The base length of the parallelogram = 6 meters
The area of the parallelogram = The height of the parallelogram × The base length of the parallelogram
Substitute the values in the equation
The area of the parallelogram = 2 × 6
Multiply the numbers
= 12 square meters
Therefore, the area is 12 square meters
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I have solved the question in general , as the given question is incomplete
The complete question is :
What is the area of the figure ?
g(x) = 2/x+1
solve g(x) = 10
please show workings.
Answers
Answer:
Step-by-step explanation:
I think it's 21
g(10)=2(10)+1
2x10=20
20+1= 21
sorry wrong answer; I guess the right answer is -0.8