Answers
[tex]\qquad\qquad\huge\underline{{\sf Answer}}☂[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: {x}^{2} + 8x = 33 [/tex]
[tex]\qquad \sf \dashrightarrow \: {x}^{2} + 8x +16 = 33 + 16 [/tex]
[tex]\qquad \sf \dashrightarrow \: (x + 4) {}^{2} = 49[/tex]
[tex]\qquad \sf \dashrightarrow \: x + 4 = \sqrt{49} [/tex]
[tex]\qquad \sf \dashrightarrow \: x + 4 = \pm7[/tex]
Hence, there are two solutions ~
1. when x + 4 = 7[tex]\qquad \sf \dashrightarrow \: x + 4 = 7[/tex]
[tex]\qquad \sf \dashrightarrow \: x = 7 - 4[/tex]
[tex]\qquad \sf \dashrightarrow \: x = 3[/tex]
2. when x + 4 = -7[tex]\qquad \sf \dashrightarrow \: x + 4 = - 7[/tex]
[tex]\qquad \sf \dashrightarrow \: x = - 7 - 4[/tex]
[tex]\qquad \sf \dashrightarrow \: x = - 11[/tex]
I hope you understood ~
Related Questions
Can someone please help me
Answers
Answer:
BCDE
Step-by-step explanation:
How is the graph of log (x + 3) translated from the graph of log x?
shifted down 3 units
shifted left 3 units
shifted up 3 units
shifted right 3 units
Answers
shifted left 3 units
Graphed Below:
red line: log (x + 3)blue line: log (x)Jogging is one of the few sports that has been consistently increasing over the past few years. The number of people jogging (in millions) from the years 2000 to 2009 is given by the equation y=x+22, where x is the number of years after 2000.
a. Use this equation or a graph of it to complete the ordered pair (4, ).
b. Write a sentence explaining the meaning of the answer to part (a).
c. If this trend continues, how many joggers will there be in 2021 ?
a. Complete ordered Pair
(4, )
Answers
Answer:
a. (4, 26)
b. The number of people jogging in 2004 was 26 million.
c. 43 million
Step-by-step explanation:
To complete the ordered pair, use the given first value of the pair as the value of the variable in the equation. Evaluate the equation to find the second value of the ordered pair:
a.y = x +22
y = 4 +22 = 26
The ordered pair is (4, 26).
__
b.The ordered pair tells you (years after 2000, number of joggers in millions). That means the ordered pair (4, 26) tells you 4 years after 2000, there were 26 million joggers.
__
c.21 years after 2000, the value of x is 21, so the value of y is ...
y = 21 +22 = 43
There will be 43 million joggers in 2021.
Out of 100 people sampled, 36 had kids. Based on this, construct a 95% confidence interval for the true
population proportion of people with kids.
Give your answers as decimals, to four places
Answers
This is the same as saying 0.2659 < p < 0.4541
=========================================================
Work Shown:
At 95% confidence, the z critical value is about z = 1.96 which is determined through a table or calculator.
x = number of people who had kids = 36
n = sample size = 100
phat = sample proportion of those who had kids
phat = x/n
phat = 36/100
phat = 0.36
E = margin of error
E = z*sqrt(phat*(1-phat)/n)
E = 1.96*sqrt(0.36*(1-0.36)/100)
E = 0.09408
This value of E is approximate because z = 1.96 is approximate.
-------------
L = lower bound
L = phat - E
L = 0.36 - 0.09408
L = 0.26592
L = 0.2659
U = upper bound
U = phat + E
U = 0.36 + 0.09408
U = 0.45408
U = 0.4541
The values of L and U are approximate since E is approximate.
-------------
The confidence interval in the format (L, U) is (0.2659, 0.4541)
This is equivalent to writing 0.2659 < p < 0.4541
which is the format L < p < U
We're 95% confident that the true population proportion (p) is somewhere between 0.2659 and 0.4541; i.e. we're 95% confident the true percentage of people who had kids is somewhere between 26.59% and 45.41%
Please helppppppp thank you so much
Answers
Answer:
7 1/8
Step-by-step explanation:
1 1/8 + 1 1/8 is 2 2/8
2 2/8 + 4 7/8 is 6 9/8 = 7 1/8
Help help help math math
Answers
Answer:
>
Step-by-step explanation:
Negative is that amount below zero. For example -3 is 0 - 3. This means that since -3 is 3 less than 0, -3 < 0. This can also be said as 0 > -3.
Answer:
Answer: 0 (> )-3
Step-by-step explanation:
Hope it helps
Caden deposited $300 into a checking account. Each week he withdraws $12 from his account.
a) Write an equation to describe this sequence.
b) How many weeks can Caden go before he runs out of money?
Answers
Answer:
B i had this text and made a 100
Step-by-step explanation:
b
HELP ME ON TANGENTS, ARCS AND CHORDS! 1
Answers
This week you practice your instrument for 3 1/4 on Monday, 2 1/2 hours on Tuesday and 1 hour on Wednesday. Next week you practice for the same number of hours. What is the total number of hours you will have practiced over these six days?
Which expression correctly shows how to solve this problem?
A. 3 1/4 + 2 1/2 + 1
B. (3 1/4 + 2 1/2) + (3 1/4 + 2 1/2)
C. (3 1/4 + 2 1/2 + 1) + (3 1/4 + 2 1/2+ 1
Thank You so much!!!!
Answers
Answer:
C. (3 1/4 + 2 1/2 + 1) + (3 1/4 + 2 1/2+ 1)
Step-by-step explanation:
Since, this week you practice your instrument for 3 1/4 on Monday, 2 1/2 hours on Tuesday and 1 hour on Wednesday.
And, next week you practice for the same number of hours.
Same number = (3 1/4 + 2 1/2 + 1)
Thus, [C] (3 1/4 + 2 1/2 + 1) + (3 1/4 + 2 1/2+ 1) is correct.
~Lenvy~
Answer:
[C} [tex]\left(3\frac{1}{4}+2\frac{1}{2}+1\right)+\left(3\frac{1}{4}+2\frac{1}{2}+1\right)[/tex]
Step-by-step explanation:
Given:
this week you practice your instrument for 3 1/4 on Monday, 2 1/2 hours on Tuesday and 1 hour on Wednesday.
Next week you practice for the same number of hours.
To Find:
What is the total number of hours you will have practiced over these six days?
Which expression correctly shows how to solve this problem
Solve:
Knowing that you practice for 3 1/4 on Monday, 2 1/2 hours on Tuesday and 1 hour on Wednesday. Next week you practice the same. Thus, we can know that [C} [tex]\left(3\frac{1}{4}+2\frac{1}{2}+1\right)+\left(3\frac{1}{4}+2\frac{1}{2}+1\right)[/tex] is the correct answer.
Solution if needed.
[tex]\left(3\frac{1}{4}+2\frac{1}{2}+1\right)+\left(3\frac{1}{4}+2\frac{1}{2}+1\right)[/tex]
[tex]=\left(\frac{13}{4}+\frac{5}{2}+1\right)+\left(3\frac{1}{4}+2\frac{1}{2}+1\right)[/tex]
= [tex]\left(\frac{13}{4}+\frac{5}{2}+1\right)+\left(\frac{13}{4}+2\frac{1}{2}+1\right)[/tex]
[tex]=\left(\frac{13}{4}+\frac{5}{2}+1\right)+\left(\frac{13}{4}+\frac{5}{2}+1\right)[/tex]
[tex]\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}[/tex]
[tex]=\frac{27}{4}+\left(\frac{13}{4}+\frac{5}{2}+1\right)[/tex]
[tex]=\frac{27}{4}+\frac{27}{4}[/tex]
[tex]=\frac{27}{2}[/tex]
[tex]=13\frac{1}{2}[/tex]
Solution ⇒ [tex]=13\frac{1}{2}[/tex]
[RevyBreeze]
Kaya rented a limousinefor prom. There was a one-time charge of $100 plus an hourly rate of $50 per hour. Her
total cost for the night was $300. How many hours did she rent the limo?
Answer using 2 step equations and X as variable
Answers
C = 50X + 100
Since C = 300,
50X + 100 = 300
50X = 200
X = 4 hours
x=4
She rented the limo for 4 hours($200) with the one time charge of $100
SOMEONE PLSSS HELP ME FAST
WILL MARK BRAINLIEST
Answers
Answer:
D. 45
Step-by-step explanation:
To find out how many games will be played with 10 people, we need to first find the pattern of the given table. To start out, we can see that for the numbers of players added, it adds one each time it goes up one number. And, we can also see that starting at 1 games played, it adds 2 for the next and gets 3 games. Then it adds 3 to get 6 games. So, we can see that for every added person added, it starts at 1 and adds 2, then adds, 3, 4, 5, 6, etc... Knowing this, we can figure out how many games will be played with 10 people.
2 people gets 1 games
+1 +2
3 people get 3 games
+1 +3
4 people get 6 games
So, now we can simply skip to 6 and seven players becuase we know that the pattern holds true to itself.
6 people get 15 games
+1 +6
7 people get 21 games
+1 +7
8 people get 28 games
+1 +8
9 people get 36 games
+1 +9
10 people get 45 games
A thief steals an atm card and must randomly guess the correct five-digit pin code from a 8-key keypad. repetition of digits is allowed. what is the probability of a correct guess on the first try?
Answers
Answer:
The probability of a correct guess on the first try is 0.024%.
Since a thief steals an atm card and must randomly guess the correct four -digit pin code from a 8 -key keypad, and repetition of digits is allowed, to determine what is the probability of a correct guess on the first try the following calculation must be performed:
8 x 8 x 8 x 8 = X
8 ^ 4 = X
4096 = X
1/4096 = X
0.000244140625 = X
0.000244140625 x 100 = 0.024%
Therefore, the probability of a correct guess on the first try is 0.024%
Step-by-step explanation:
I need help with this question?
Answers
Answer:
38.5 cm²
Find area of the full rectangle:
Length * Width
6 * 7
42 cm²
Find area of the missing triangle
1/2 * base * height
1/2 * 7 * 1
3.5 cm²
Area of the figure:
42 - 3.5
38.5 cm²
Help help help help help
Answers
Answer:
49.12
Step-by-step explanation:
Area of triangle =1/2 x b x h
=24
semi circle =(pie rxr)divuded by 2
=25.12
so, 25.12 +24=49.12
6.
Part I: Suppose a prism has a square base with each side of length 3.75 cm and a height
of 5.65 cm. Use the formula below to find the volume. Show your work and round your
answer to the nearest hundredth. (5 points)
Answers
79.45401²
Step-by-step explanation:[tex]1)\ V=B\ Sh[/tex]
[tex]\therefore\ V=3.15\times 3.75\times 5.65[/tex]
[tex]=79.403125[/tex]
[tex]\approx 79,45\ cm^3[/tex]
I hope this helps you
:)
Rounded to the nearest hundredth, the volume of the prism is approximately 79.50 cm^3.
To find the volume of a prism, we use the formula:
Volume = Base Area * Height
In this case, the prism has a square base with each side of length 3.75 cm and a height of 5.65 cm. The formula for the area of a square is:
Base Area = Side Length^2
So, the base area can be calculated as:
Base Area = 3.75 cm * 3.75 cm = 14.0625 cm^2
Now, we can find the volume using the formula:
Volume = Base Area * Height
Volume = 14.0625 cm^2 * 5.65 cm
Volume ≈ 79.5025 cm^3
To know more about volume:
https://brainly.com/question/32006008
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For questions 3 and 4, you will be answering by filling in the blanks. Please be aware that your answer must include any commas or decimals in their proper places in order to be correct. The dollar signs have been provided. For example, if the answer is $1,860.78, then you will enter into the blank 1, 860.78. Do not place any extra spaces between numbers, commas, or decimal places. Round any decimals to the nearest penny when the answer involves money, so that $986.526 would be typed into the blank as 986.53 and $5,698.903 would be typed into the blank as 5,598.90. You will need to use the labor statistics document to answer the following questions.
A. What is your weekly median income if you are a female with an advanced degree?
B. What is your yearly median income if you are a male with an associate's degree?
C. What is your yearly median income if you are a female with an associate's degree?
Answers
Based on the given statistics, the weekly median income for a female with an advanced degree would be $901.
The yearly median income for a male with an associate degree would be $36,432.
The yearly median income for a female with an associate degree would be $27,744.
What is the weekly median income for a female with an advanced degree?An advanced degree would be a postgraduate degree like a masters so the weekly median income would be $901.
What is the yearly median income for a male with an associate degree?This can be found as:
= Weekly median income x 4 weeks in month x 12 months in year
= 759 x 4 x 12
= $36,432
What is the yearly median income for a female with an associate degree?= Weekly median income x 4 weeks in month x 12 months in year
= 578 x 4 x 12
= $27,744
Find out more on median weekly incomes at https://brainly.com/question/3318597.
Answer:
Answer above is wrong
Step-by-step explanation:
Can't tell you how to get the answers but these are correct after i failed from the person above.
3. 1,323
4. 49,452.00
5. 37,284.00
A map has a scale of 3 cm:20 km. If two cities are 30 cm apart on a map, how far are the cities actually apart?
Answers
The actual distance between the cities is 200 km using multiplication.
The scale of the map is 3 cm : 20 km. This means that for every 3 cm on the map, the actual distance in real life is 20 km.
If two cities are 30 cm apart on the map, we can use the scale to find the actual distance between them. First, we need to determine how many times the scale goes into the distance on the map. To do this, we divide the distance on the map by the length of the scale:
30 cm ÷ 3 cm/20 km = 30 ÷ 3 × 20 = 200 km
Therefore, the actual distance between the two cities is 200 km.
Alternatively, we can use the proportionality between the scale and the actual distance to set up a proportion and solve for the actual distance. Let x be the actual distance between the cities in kilometers:
3 cm / 20 km = 30 cm / x
Cross-multiplying and solving for x, we get:
x = (20 km / 3 cm) × 30 cm = 200 km
Learn more about distance here:
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given that three points 15 raise to power 6 is equal to 3 raise to power 6 x b correct to four decimal places
Answers
Answer:
A. Directions: Encircle the letter of the correct answers
Step-by-step explanation:
1.the I in resign sounds like the I in.
A. hit B. High
Tadeo is a beekeeper. The table shows the weekly number of bees producing honey in a new hive. Which expression gives the number of bees in week 12?
Answers
The exponential equation that gives the number of bees in week 12 is of:
[tex]y = 4(3)^{11} = 708588[/tex]
What is an exponential function?It is modeled by:
[tex]y = ab^x[/tex]
In which:
a is the initial value.b is the rate of change.In this problem, considering that the initial week is the first, and the value triples every week, the expression for the number of bees after x weeks is given by:
[tex]y = 4(3)^{x - 1}[/tex]
Hence, after 12 weeks, the expression is:
[tex]y = 4(3)^{11} = 708588[/tex]
More can be learned about exponential equations at https://brainly.com/question/25537936
Answer:
4 • 3^11
Step-by-step explanation:
Need help with this geometric question ASAP, Thank you
Answers
2. Find the length of AD if the length of AB is 14 units, the length of BC is 5 units, and the length of CD is 8 units,
Answers
Answer: sqrt(285)
Step-by-step explanation:
An oblique cylinder with a base of radius 2 units is shown. The top
of the cylinder can be obtained by translating the base by the directed line segment
AB which has length 16 units. The segment AB forms a 30° angle with the plane of
the base. What is the volume of the cylinder?
Answers
The volume of the cylinder is the amount of space on it
The volume of the oblique cylinder is 174.19 cubic units
How to determine the volume of the cylinder?The given parameters are:
AB = 16 units
Radius (r) = 2 units
[tex]\theta = 30^o[/tex]
Start by calculating the height (h) using:
[tex]h = 16 * \cos(30^o)[/tex]
This gives
[tex]h = 13.86[/tex]
The volume of the cylinder is then calculated as:
[tex]V = \pi r^2 h[/tex]
This gives
[tex]V = 3.142 * 2^2 * 13.86[/tex]
[tex]V = 174.19248[/tex]
Approximate
[tex]V = 174.19[/tex]
Hence, the volume of the oblique cylinder is 174.19 cubic units
Read more about volumes at:
https://brainly.com/question/1972490
Please help with this
Answers
Answer:
1) the quadratic formula2) factoring (zero product property)Step-by-step explanation:
1) using quadratic formula
(b)² - 4ac ----(always write the formula)
3 ( 4x + 1 )² - 5 =25
(12x + 1)² - 5 = 25 (using (a+b)^2)
144x² + 24x +1 - 5 = 25
144x²+ 24x - 4 = 25
144x² + 24x =29
144x² + 24x - 29= 0 (thus, formed and equation)
A=144, b= 24, c= -29
(24)² - 4(144 X -29)
576 - 4 X -4176
576 + 16704=0
17280>0, therefore it has 2 distinct real roots2) x²-8x+12=0
sum= -8, product= 12
-2,-6
so,
x²-2x -6x + 12
x ( x - 2 ) -6 ( x - 2 )
(x-2) (x-6)
X= 2, 6Hope it is correct and helpful
Stay safesorry for the late answerA high-altitude spherical weather balloon expands as it rises due to the drop in atmospheric pressure. Suppose that the radius r increases at the rate of 0.03 inches per second and that r=48 inches at time t=0. Determine a function that models the volume V of the balloon at time t and find the volume at t=300 seconds.
Answers
Considering a linear function for the radius, we have that:
The volume of the sphere is modeled by [tex]V(t) = \frac{4\pi(0.03t + 48)^3}{3}[/tex].After 300 seconds, it is of 775,735 in³.What is a linear function?A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value.What is the volume of a sphere?The volume of a sphere of radius r is given by:
[tex]V = \frac{4\pi r^3}{3}[/tex]
In this problem, radius r increases at the rate of 0.03 inches per second and that r=48, hence it is represented by the following linear function:
[tex]r(t) = 0.03t + 48[/tex]
Thus, the volume of the sphere is given by:
[tex]V = \frac{4\pi r(t)^3}{3}[/tex]
[tex]V(t) = \frac{4\pi(0.03t + 48)^3}{3}[/tex]
After 300 seconds, the volume in cubic inches is given by:
[tex]V(300) = \frac{4\pi(0.03(300) + 48)^3}{3} = 775735[/tex]
More can be learned about linear functions at https://brainly.com/question/24808124
Help me pls answer 1&2&3 pls brainless
Answers
Answer:
3,1,5
Step-by-step explanation:
I need help with this
Answers
Answer:
The correct answer is B: 3 cubic feet.
Step-by-step explanation:
If you want to find the volume of a rectangular prism, you need to know the length, width, and height. The first rectangular prism is a cube with a length of 3 feet, so the volume of the figure would be [tex]3^{3}=27 ft^{3}[/tex]. The second rectangular prism has a length of 3 feet, a width of 2 feet, and a height of 4 feet, so the volume of the prism would be 3 × 2 × 4 = [tex]24 ft^{3}[/tex]. Now that you know the 2 volumes, you need to subtract the volumes in order to find the difference, which is 27 - 24 = 3 [tex]ft^{3}[/tex].
Graph the circle (x+5)^2+(y+2)^2=4
Answers
(x+5)² + (y+2)² = 4
(x - x0)² + (y - y0)² = r²
with circle center point (x0 ; y0) and r for circle radius
so you have to place the point (- 5 ; - 2) and graph the circle with r = 2
How to solve [tex]\frac{dy}{dx} =2|x|[/tex] ?
Answers
dy= 2|x|dx
integral dy= integral 2|x|dx
y= X² + c
What is the volume of this cone? Use 3.14 for π and round your answer to the nearest tenth.
In your answer, give the volume of the cone rounded to the nearest tenth, and then explain how you calculated it.
Answers
Answer:
volume = 33.5 in³
Step-by-step explanation:
Formula:
[tex]\sf volume \ of \ a \ cone=\dfrac13\pi r^2h[/tex]
Given:
r = 2 inh = 8 inπ = 3.14Substituting the given values into the formula:
[tex]\sf \implies volume=\dfrac13 \times 3.14 \times 2^2 \times 8[/tex]
[tex]=\dfrac13 \times 3.14 \times 4 \times 8[/tex]
[tex]\sf =33.49333333...[/tex]
[tex]\sf =33.5 \ in^3 \ (nearest \ tenth)[/tex]
Please help as soon as possible
Answers
Answer:
possibly (9, 9) (9, 5) (5, 9)