Answer: 48 cm^2
Step-by-step explanation:
The equation for the area of a triangle is 1/2(base*height). Plug in the numbers to get an equation of 1/2(8*12). 8*12 = 96. Now divide by 2. 96/2 = 48.
Answer:
48 cm^2
Step-by-step explanation:
a triangle area is hb/2
so 8*12=96
96/2=48 therefore 48 is the answer.
PLEASE HELP ASAP, WOULD APPRECIATE IF YOU SHOWED STEPS
Answer:
abbbcab(a) [tex]7^{4}[/tex] (b) [tex](\frac{4}{9}) ^{17}[/tex] (c) [tex]4^{-4}[/tex] (d) [tex]8^{-3}[/tex]Step-by-step explanation:
1. The moment he started: 3 bacteria
1st hour: 3*2 bacteria = 3*[tex]2^{1}[/tex] bacteria
2nd hour: 3*2*2 bacteria = 3*[tex]2^{2}[/tex] bacteria
3rd hour: 3*2*2*2 bacteria = 3*[tex]2^{3}[/tex] bacteria
etc.
Each hour the number of bacteria multiplies by 2 (the power of 2 is increased by 1), therefore, [tex]B=3*(2)^{n}[/tex]
2. Exponential function has the form of [tex]f(x)=ab^{x}[/tex]
if a is greater than 0 and b is greater than 1, then it's exponential growth.
The answer is:
[tex]y=4^{x}[/tex] (4 > 1)
3. If smth increases by 2.5% each time, that means that at first you had 100% and then it became 100%+2.5% = 102.5%. So each time we multiply the value by 1.025 (100*1.025=102.5).
4. Linear equation form: [tex]y=ax+b[/tex]
Quadratic equation form: [tex]y=ax^{2} + bx + c[/tex]
Exponential equation form: [tex]y=ab^{x}[/tex]
In this case, a = 3.8, b = -5.5, c = -4.8
5. (a) square root
(b) linear
(c) exponential
(d) quadratic
6. Each year the car's worth is multiplied by 0.82 (82%). Therefore, after n years, the value will be: V = 27 500 * [tex]0.82^{n}[/tex]
7. Neither first, nor second differences are constant in case of an exponential relation, because we do not add but multiply.
Ex. [tex]y=2^{x}[/tex]
values: 1 2 4 8 16 32...
1st diff: 1 2 4 8 16...
2nd diff: 1 2 4 8...
8. (a) [tex]7^{11} / 7^{7} = 7^{11-7} = 7^{4}[/tex]
(b) [tex](\frac{4}{9})^{12} *(\frac{4}{9})^{5} =(\frac{4}{9} )^{12+5}=(\frac{4}{9})^{17}[/tex]
(c) [tex]4^{11} / (4^{5})^{3} =4^{11} / 4^{5*3}=4^{11} /4^{15}=4^{11-15}=4^{-4}[/tex]
(d) [tex]8^{-6}*8^{3}=8^{-6+3}=8^{-3}[/tex]
At a local pizza place, the cost of a large cheese pizza is $13.99. Each additional topping is $1.25. The Tigerd family orders a large pizza topped with pepperoni, mushrooms, olives, and sausage. How much did their pizza cost? Show your work.
whats 55 + 55? I've been struggling and I can't take it anymore. I saw the memes and I need the real absolute final answer. pls help
Answer:
110
50+50=100
5+5=10
100+10=110
(thats how i do mental math)
Given: f(x) = -2x² +x+6
5.1 Calculate the coordinates of the turning point of f.
Answer:
[tex]\left(\dfrac{1}{4},\dfrac{49}{8}\right)[/tex]
Step-by-step explanation:
Turning points (stationary points) occur when the gradient of a graph is zero.
To find when the gradient of the graph is zero, differentiate the function, set it zero, then solve for x.
Given function:
[tex]f(x)=-2x^2+x+6[/tex]
Differentiate:
[tex]\implies f'(x)=(2)(-2)x^{2-1}+(1)x^{1-1}+6(0)[/tex]
[tex]\implies f'(x)=-4x+1[/tex]
Set the differentiated function to zero and solve for x:
[tex]\implies f'(x)=0[/tex]
[tex]\implies -4x+1=0[/tex]
[tex]\implies 4x=1[/tex]
[tex]\implies x=\dfrac{1}{4}[/tex]
To find the y-coordinate, input the found value of y into the given function:
[tex]\implies f\left(\dfrac{1}{4}\right)=-2\left(\dfrac{1}{4}\right)^2+\left(\dfrac{1}{4}\right)+6[/tex]
[tex]\implies f\left(\dfrac{1}{4}\right)=\dfrac{49}{8}[/tex]
Therefore, the turning point of the function is:
[tex]\left(\dfrac{1}{4},\dfrac{49}{8}\right)[/tex]
answers
f=1/4=49/8
Step-by-step explanation:
identify the coefficients
a=-2, b=1
substitute the coefficient into the expression
x= -1/((2x(-2))
then solve it out the equation
x=1/4
evaluate the function x =1/4
f(x) =-2x²+x+6(1/4)
f=1/4=49/8
HELP I WILL MARK BRAINIEST IF YOU HELP
Answer:
3.5 Is the answer, this is dialation
Answer:
x = 28
Step-by-step explanation:
Since none of the current side values of Triangle 1 can be increased by the same values to represent Triangle 2, we have to divide the values of Triangle 1 by half.
T1 S1: 10 / 2 = 5
T1 S2: 8 / 2 = 4
T1 S3: 12 / 2 = 6
Now in order to find out the value that you need to multiply these sides by, you need to divide Triangle 2's values by Triangle 1's simplified side values.
T2 S1: 35 / 5 = 7
T2 S2: x / 4 = ?
T2 S3: 42 / 6 = 7
Triangle 2's Side 1 becomes 7 and Triangle 2's Side 2 becomes 7 as well. Because the value of x is unknown and both Triangle's sides seem to be the same value of 7, you can safely assume that Triangle 2's Side 2 will also have a value of 7.
x / 4 = 7
x = 7(4)
x = 28
Angle measures in polygons need ASAP thank you
Answer:
1) 25
2) 61
3) 20
4) 25
5) 65.46
Explanation:
1) Use the formula " (n-2)180. N = the number of sides.
(25-2)180 = 4140
2) The sum of the polygon is 900.
(7-2)180 = 900
Add up all the numbers and variables then equal them to 900.
3) To find an interior of an 18-gon is the use of this formula:
(n-2)180 = Sum of the polygon
Sum / n
(18-2)180 = 2880
2880 / 18 = 160
180 - 160 = 20 ; Because they are supplementary.
4) (25-2)180 = 4140
4140 / 25 = 165.6
5) Copy the formula for explanation #3. But instead of an 18-gon, do 11-gon.
Gail Stough is a customer service representative at an amusement park and earns $8.40 per hour. How much does she make in a week?
Amir drove from Jerusalem to the lowest place on Earth, the Dead Sea. His altitude relative to sea level (in meters) as a function of time (in minutes) is graphed. How fast did Amir descend?
The equation for the flowing rate of aamir is as follows y = -12x +360
What is an equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
First of all let's write the slope-intercept form of the equation of a line, which is:
y = mx + c
So we just need to find to solve this problem.
Moreover, this problem tells us that Amir drove from Jerusalem down to the lowest place on Earth, the Dead Sea, descending at a rate of 12 meters per minute. So this rate is the slope of the line, that is:
Negative slope because Amir is descending. So:
y = - 12x + b
To find, we need to use the information that tells us that he was at sea level after 30 minutes of driving, so this can be written as the point. Therefore, substituting this point into our equation:
y = -12x + b
0 = -12(30) + b
b = 360
Finally, the equation of Amir's altitude relative to sea level (in meters) and time (in minutes) is:
y = -12x +360
To know more about equations follow
https://brainly.com/question/2972832
#SPJ1
Answer:
11 meters per minute
Step-by-step explanation:
The rate at which Amir descended is equivalent to the rate of change of this relationship. In linear relationships, the rate of change is represented by the slope of the line. We can calculate this slope from any two points on the line.
Hint #22 / 2
Two points whose coordinates are clearly visible from the graph are
(
0
,
440
)
(0,440)left parenthesis, 0, comma, 440, right parenthesis and
(
40
,
0
)
(40,0)left parenthesis, 40, comma, 0, right parenthesis.
Now, to find the slope, let's take the ratio of the corresponding differences in the
�
yy-values and the
�
xx-values:
0
−
440
40
−
0
=
−
440
40
=
−
11
40−0
0−440
=
40
−440
=−11start fraction, 0, minus, 440, divided by, 40, minus, 0, end fraction, equals, start fraction, minus, 440, divided by, 40, end fraction, equals, minus, 11
The slope of the line is
−
11
−11minus, 11, which means that Amir descended at a rate of
11
1111 meters per minute.
The first and fourth quadrants of a coordinate plane. The horizontal axis is from zero to one hundred with a scale of ten and is titled Paprika in kilograms. The vertical axis is from negative three hundred to five hundred with a scale of one hundred and is titled Profit in dollars. The graph of the line is y equals eight x minus two hundred eighty.
Question 3
A theatre group sold 4830 tickets for their show
This was 15% more than they sold last year.
How many tickets did they sell last year?
Answer: 4105.5
Step-by-step explanation:
The number of tickets sold in the previous year is 3723.
What is the percentage?The percentage is a ratio that can be expressed as a fraction of 100.
Given that, the theater group sold 4380 tickets and which was 15% more than the tickets sold the previous year.
Therefore, the tickets sold in the previous year is:
4380 - 15% of 4380
= 4380 - 15×4380/100
= 4380 - 657
= 3723
Hence, the number of tickets sold in the previous year is 3723.
Learn more on percentages here:
https://brainly.com/question/14979505
#SPJ2
Find the surface of the cone in terms of pi.
144pi cm2
108pi cm2
90pi cm2
180pi cm2
please
Check the picture below.
if the diameter of its base is 12, then its radius must be half that, or 6.
[tex]\textit{surface area of a cone}\\\\ SA=\pi r\stackrel{\stackrel{slant~height}{sh}}{\sqrt{r^2+h^2}} + \pi r^2~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=6\\ sh=18 \end{cases}\implies SA=\pi (6)(\stackrel{sh}{18})+\pi (6)^2 \\\\\\ SA=108\pi +36\pi \implies SA=144\pi[/tex]
Use the figure to find the measure of each arc for #1-4.
1.) mFE
2.)mBC
3.)mCE
4.)mCFE
5.)m
Answer:
Step-by-step explanation:
Solve the equation. Determine the solution(s) and any extraneous solution.
√2x = x - 4
I assume you mean the equation
√(2x) = x - 4
Take the square of both sides. Note that √(2x) is a non-negative number, so any solution we find must also satisfy x - 4 ≥ 0, or x ≥ 4.
(√(2x))² = (x - 4)²
2x = x² - 8x + 16
x² - 10x + 16 = 0
(x - 8) (x - 2) = 0
x - 8 = 0 or x - 2 = 0
x = 8 or x = 2
If x = 2, then x ≥ 4 is false. The only solution is then x = 8.
Write an algebraic expression that describes the following word phrase, using the letter `a` for the unknown number.
nine times a number minus two = _____ a - _____
Answer:
=7*a-2
=7a-2
Step-by-step explanation:
_a-_
ATQ,
7 times means 7*
as per the question,
Nine times (7*) a number (a) minus two (-2)
Hope this helps you!! (ㆁωㆁ)
A shipping box is in the shape of a rectangular prism. it has a volume of 9,000 in.3, and the dimensions of the base are 20 in. by 30 in. what is the height of the box? 15 in. 20 in. 300 in. 600 in.
The height of the shipping box in the shape of a rectangular prism is 15 inches
How to determine the height of the box?The given parameters are:
Volume = 9000 cubic inches
Base dimensions = 20 inches by 30 inches
The height of the prism is then calculated using:
Height = Volume/Base Area
So, we have:
Height = 9000/(20 * 30)
Evaluate
Height = 15
Hence, the height of the shipping box in the shape of a rectangular prism is 15 inches
Read more about volume at:
https://brainly.com/question/1972490
#SPJ4
(will give brainlist) please help me !!!! i really need help !!! Properly identify the following functions.
Answer: Choice A
f(x) is exponential
g(x) is quadratic
========================================================
Explanation:
Exponential functions are when the variarble is in the exponent only.
Quadratic functions are polynomials with the largest exponent being 2.
Answer:
f(x) is exponential; g(x) is Quadratic
17. A glider lands 26 miles west and 12 miles south from where it took off. The result of the trip
can be described by the vector (-26, -12).
What is another description of this vector using distance (for magnitude) and direction?
about 29 miles at 25° south of west
about 25 miles at 29° south of east
about 29 miles at 25° south of east
about 25 miles at 29° south of west
By finding the magnitude and bearing, we conclude that the correct option is:
"about 29 miles at 25° south of west"
How to write the vector in polar coordinates?For a vector (x, y), the polar coordinates are the magnitude R and the bearing θ.
Such that:
[tex]R = \sqrt{x^2 + y^2} \\\\\theta = Atan(y/x)[/tex]
In this case, the original vector is (-26, -12), replacing that we get:
[tex]R = \sqrt{(-26)^2 + (-12)^2} = 28.6 \\\\\theta = Atan(-12/-26) = 24.7\°[/tex]
Where the angle is measured from the negative x-axis counterclockwise, so it is South of West.
Then we can describe this vector as:
"About 29 miles at 25° south of west".
The first option is the correct one.
If you want to learn more about vectors:
https://brainly.com/question/3184914
#SPJ1
write the equation of the line passing through the point (2,- 1) with a slope of 3
Answer:
Y= 3X-7
Step-by-step explanation:
the equation of the line has the formular
Y-Y1= M (X-X1)
here, M= slope= 3
X1=2 Y1= -1
Y--1= 3(X-2)
Y+1= 3X-6
Y= 3X-6-1
Y= 3X-7
Answer:
y=3x-7
Step-by-step explanation:
1. Use The Slope Formula
y=mx+b
m=slope
b=y-intercept
2. Fill in the given values
y=3x+b
3. Use the given points to solve for b
-1=3*2+b
-1=6+b
-7=b
4. Final equation
y=3x-7
Brady borrowed $59.99 from his brother
to buy concert tickets. His brother charges
him a weekly simple interest rate of 3.25%.
Brady pays him back in 4 weeks.
Answer:
Pay back $ 67.79 in four weeks
Step-by-step explanation:
He will have to pay INTEREST FO
59.99 x .0325 x 4 = 7.7987
PLUS the 59.99 that he borrowed
= 67.79
Sofia works in a clothing store and earns $40 per day. She earns an extra $5 for each outfit she sells. If Sophia wants to earn at least $70 per day, which inequality shows the minimum number of outfits, n, that she should sell
Answer:
70= 5n+40
Step-by-step explanation:
(n=6 if you need it)
Hope this helps! ;-)
In order to find this answer, you will need to be able to make an inequality.
Step 1: Sophia makes $40 so start with that. 40
Step 2: Sophia also makes $5 per every outfit that she sells, so add that plus your variable (n). 40+5n
Step 3: Determine if Sophia wants to make more, equal to or more, less, or less than or equal to than what she wants to make per day. 40+5n *draw a greater than or equal to sign.
Step 4: Sophia wants to make more than or equal to what she makes per day. You will need to find what she wants to make more than. In this she wants to make more than or equal to $70.
Equation: 40+5n *greater than or equal to sign* $70
Credits to: https://brainly.com/app/profile/2424272/answers they created this awsome anwser! at this question: https://brainly.com/question/2859836
You move right 3 units and left 6 units. You end at (-4, -5). Where did you start?
Answer:
(-1 , -5)
Hope this helped you! I would appreciate a Brainliest, if you wouldnt mind!
A baseball team won 55% of their games. If they played 200 games, how many did they win?
A
100
B
110
C
160
D
190
Answer:
110
Step-by-step explanation:
Number of games won = Total games × Win percentage
Number of games won = 200 x 55%Number of games won = 200 × 0.55Number of games won = 200 x 11/20Number of games won = 10 x 11Number of games won = 110Select the correct answer. what is the complete factorization of x2 4x − 45? a. (x 15)(x − 3) b. (x − 9)(x 5) c. (x 9)(x − 5) d. (x − 15)(x 3)
The complete factor of the expression x² + 4x - 45 is (x - 5)(x + 9)
How to determine the complete factorization?The expression is given as:
x² + 4x - 45
Expand the equation
x² + 4x - 45 = x² + 9x - 5x - 45
Factorize the expression
x² + 4x - 45 = x(x + 9) - 5(x + 9)
Factor out x + 9
x² + 4x - 45 = (x - 5)(x + 9)
Hence, the complete factor of the expression x² + 4x - 45 is (x - 5)(x + 9)
Read more about expressions at:
https://brainly.com/question/723406
#SPJ4
Answer:D
Step-by-step explanation:
i got it on edmentumn
Pls Help, I will mark brainliest.
Answer:
5^2
Step-by-step explanation:
..................................................
Please help me....Use the Pythagorean identity
Using the Pythagorean identity, the value of the cosine ratio is [tex]\cos(\theta_1) = \frac{84}{85}[/tex]
How to determine the cosine ratio?The given parameter is:
[tex]\sin(\theta_1) = -\frac{13}{85}[/tex]
By the Pythagorean identity, we have:
[tex]\sin^2(\theta_1) + \cos^2(\theta_1) = 1[/tex]
So, we have:
[tex](-\frac{13}{85})^2 + \cos^2(\theta_1) = 1[/tex]
This gives
[tex]\cos^2(\theta_1) = 1 - (-\frac{13}{85})^2[/tex]
Evaluate
[tex]\cos^2(\theta_1) = 1 - \frac{169}{7225}[/tex]
Take LCM
[tex]\cos^2(\theta_1) = \frac{7225 -169}{7225}[/tex]
This gives
[tex]\cos^2(\theta_1) = \frac{7056}{7225}[/tex]
Take the square root of both sides
[tex]\cos(\theta_1) = \pm \frac{84}{85}[/tex]
Cosine is positive in the fourth quadrant.
So, we have:
[tex]\cos(\theta_1) = \frac{84}{85}[/tex]
Hence, the cosine value is [tex]\cos(\theta_1) = \frac{84}{85}[/tex]
Read more about Pythagorean identity at:
https://brainly.com/question/1969941
#SPJ1
According to the box-and-whisker plot shown above, what are the following:
6. The median?
7. The first quartile?
8. The third quartile?
9. The minimum value?
10. The maximum value?
Please help me 6 threw 10 i been asking for help forever i sent in the box
Answer:
median: 80
first q: 60
third q: 100
min: 40
max: 110
Step-by-step explanation:
The median is the middle (piece of data), the middle line in the box. Min is smallest number. Max is biggest number. First quartile is the left side of the box. Third quartile is right side of box.
The distribution of the number of words in text messages between employees at a large company is skewed right with a mean of 8.6 words and a standard deviation of 4.3 words. If a random sample of 39 messages is selected, what is the probability the sample mean is more than 10 words?
0.0210
0.2454
0.3724
0.9790
Using the normal distribution and the central limit theorem, the probability the sample mean is more than 10 words is of 0.0210.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].In this problem, the parameters are given as follows:
[tex]\mu = 8.6, \sigma = 4.3, n = 39, s = \frac{4.3}{\sqrt{39}} = 0.6885[/tex]
The probability that the sample mean is more than 10 words is one subtracted by the p-value of Z when X = 10, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{10 - 8.6}{0.6885}[/tex]
Z = 2.03.
Z = 2.03 has a p-value of 0.979.
1 - 0.979 = 0.021.
The probability the sample mean is more than 10 words is of 0.0210.
More can be learned about the normal distribution and the central limit theorem at https://brainly.com/question/24663213
#SPJ1
What do zeros tell us in this situation
Answer:
zero called 1 in this situation
Step-by-step explanation:
its your ans
Really need help and am hoping someone can help me!!
7. From a point on the ground, the angles of elevation of the bottom and the top of a transmission tower fixed at the top of a 20 m high building are 45° and 60° respectively as shown in Figure 3. Find the height of the transmission tower.
Answer:
Let DC be the tower and BC be the building. Then,
∠CAB=45
o
,∠DAB=60
o
,BC=20 m
Let height of the tower, DC=h m.
In right △ABC,
tan45 o = AB/BC
1=20/AB
AB=20m
In right∆ABD,
tan 60°=BD/AB
√3=h+20/20
h=20(√3-1)m
juan went to the sporting goods store. he spent $14 on a batting glove. he spent half of the remaining money on a football. later, he spent $2 on a sports drink. if he had $10 left, how much money did juan take to the sporting goods store? how much did he spend on the football?
Answer: 38 dollars
Step-by-step explanation:
work in reverse (include dollar sign in your answer, I can't get it on my keyboard)10 + 2 = 1212 x 2 = 2424 + 14= 38