Answer:
1) x²+4x=2700
2) 50x50
Step-by-step explanation:
Pony area = x²
line-up area=4x
x²+4x=2700
x²+4x-2700=0
(x-50)(x+54)
So x= 50 or -54. Since it can’t be a negative number, it must be 50.
CHECK:
Square = 50x50 = 2500
Line up area = 50x4 = 200
2500+200=2700 YES
I NEED HELP!! which expression is the radical form of x - 9/8
Answer:
Step-by-step explanation:
Please use " ^ " to indicate exponentiation.
Your "x - 9/8" should be x ^(-9/8).
The 8 represents "the eighth root" of x, and the -9 represents the power to which x is to be raised. Finally, the " - " sign shows that this 9th power is in the denominator.
x ^(-9/8) in radical form is ----------------
[tex]1 divided by \sqrt[8]{x^9\\} \\[/tex]
What value of n makes the equation true 2/3 n= -12
Answer:
The answer is - 18
Step-by-step explanation:
[tex] \frac{2}{3} n = - 12[/tex]
To solve the equation multiply both sides of the equation by 3
That's
[tex]3 \times \frac{2}{3} n = - 12 \times 3[/tex]Simplify
[tex]2n = - 36[/tex]Divide both sides of the equation by 2
[tex] \frac{2n}{2} = \frac{ - 36}{2} [/tex]We have the final answer as
n = - 18The value of n that makes the equation true is - 18
Hope this helps you
Can you please help me thanks
Bridget went fishing with her dad. Bridget caught the first fish of the day, and it weighed f ounces. That day, she caught four more fish. One was times the weight of the first fish, another was more than times the weight of the first fish, the next was the weight of the first fish, and the last was the weight of the first fish. Bridget's dad caught four fish. The first fish he caught weighed more than times the weight of the first fish caught that day. One fish weighed the weight of the first fish caught that day, one weighed more than times the weight of the first fish caught that day, and the last weighed the weight of the first fish caught that day.
Answer:
Bridget's first fish =f = 5 ounces
Bridget's dad first fish weighs 17 ounces
Step-by-step explanation:
Bridget went fishing with her dad. Bridget caught the first fish of the day, and it weighed f ounces. That day, she caught four more fish. One was 2 times the weight of the first fish, another was 2 more than 3 times the weight of the first fish, the next was 1/2 the weight of the first fish, and the last was 3/5 the weight of the first fish. Bridget’s dad caught four fish. The first fish he caught weighed 2 more than 3 times the weight of the first fish caught that day. One fish weighed 4/5 the weight of the first fish caught that day, one weighed 4 more than 2 times the weight of the first fish caught that day, and the last weighed 1/2 the weight of the first fish caught that day. If all the fish Bridget caught have the same total weight as all the fish her dad caught, then the first fish Bridget caught weighed___ ounces and the first fish her dad caught___ weighed ounces.
Solution:
Bridget's fishes:
f ounces
2f ounces
3f+2 ounces
1/2f ounces
3/5f ounces
Total= f +2f + (3f+2) + 1/2f +3/5f
=3f + 3f + 2 + 5f+6f/10
=6f + 2 + 11f/10
=60f+11f/10 +2
=71/10f +2
Bridget's dad fishes
3f+2
4/5f
2f+4
1/2f
Total =(3f+2) + (2f+4) + 4/5f +1/2f
=3f+2+2f+4 + 8f+5f/10
=5f + 6 + 13/10f
= 50f+13f/10 + 6
=63/10f +6
Equate the total weight
71/10f +2=63/10f +6
Collect like terms
71/10f - 63/10f =6-2
71f-63f/10 = 4
8f/10=4
Cross product
8f=40
Divide both sides by 8
f=5
Bridget's first fish =f = 5 ounces
Bridget's dad first fish = 3f +2
=3(5)+2
=15+2
=17 ounces
Bridget's dad first fish weighs 17 ounces
the square of 1/4 equal the square root of
Answer:
[tex]\frac{1}{256}[/tex]
Step-by-step explanation:
(¼)²=√x
√x=1/16
x=(1/16)²
x= 1/256
A box contains 20 oranges and 10 grapes what is the probability of picking a grape from the box?
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
First, let's find how many total items there are in the box.
If there are 20 oranges and 10 grapes, then there are [tex]20+10=30[/tex] items in the box.
Now, if there are 10 grapes in this box, we know that the probability of picking a grape is [tex]\frac{10}{30}[/tex] because the total is the denominator and the number of items for that selection is the numerator.
We can simplify this fraction down to [tex]\frac{1}{3}[/tex].
Hope this helped!
Answer:
1/3
Step-by-step explanation:
2 + 8(x + 2) = 52
a 3
b 1
C2
d 4
Step-by-step explanation:
[tex]2 + 8(x + 2) = 52 [/tex]
[tex]2 + 8x + 16 = 52[/tex]
[tex]8x + 18 = 52[/tex]
[tex]8x = 52 - 18[/tex]
[tex]8x = 32[/tex]
[tex]x = \frac{34}{8} [/tex]
[tex]x = 4.25[/tex]
Hope it helps u
What makes the value of x makes the equation true?
[tex]7x = 80 + 9x[/tex]
Answer:
[tex]x=-40[/tex]
Step-by-step explanation:
You need to find the value of x. To do this, you need to isolate the variable:
[tex]7x=80+9x[/tex]
Move the 80 to the left side of the equation using the reverse operation of '+', which is subtraction:
[tex]7x-80=80-80+9x\\\\7x-80=9x[/tex]
Now move the coefficient, 7x, to the right side of the equation using the reverse operation of addition (because it's a positive number), which is subtraction:
[tex]7x-7x-80=9x-7x\\\\-80=2x[/tex]
Now isolate the variable using reverse operations. The coefficient can also be seen as [tex]2*x[/tex] , so the opposite of multiplication is division. Divide by 2, remembering to do the same on both sides of the equation to keep it stable:
[tex]-\frac{80}{2}=\frac{2x}{2}\\\\ -40=x[/tex]
The value of x is -40.
:Done
A cylindrical tank whose diameter is 1.4 metres and height 80 cm is initially empty. Water whose volume is 492.8 litres is poured into the tank. Determine the fraction of the tank filled with water. (4 marks
Answer:
7/40 is the fraction filled with water
Step-by-step explanation:
Here we start by calculating the volume of the cylindrical tank.
Mathematically, that would be;
V = π * r^2 * h
From the question
r = 80 cm = 80/100 = 0.8 meters
h = 1.4 meters
π = 22/7
Plugging these values into the volume equation, we have;
V = 22/7 * 0.8 * 0.8 * 1.4 = 2.816 m^3
But mathematically;
1 m^3 = 1000 liters
So 2.816 m^3 = 2.816 * 1000 = 2816 liters
So the fraction filled with water will be;
492.8/2816 = 0.175 = 175/1000 = 7/40
Find the value of x.
ASAP!!
Answer:
x = 80
Step-by-step explanation:
Tangent Chord Angle =1/2 Intercepted Arc
40 = 1/2 x
80 = x
A piece of art is in the shape of an equilateral triangle with sides of 6 in. Find the area of the piece of art. Round your answer to the nearest tenth.
Answer:
15.6
Step-by-step explanation:
We can take this equilateral triangle and split it in half to form a 30-60-90 triangle. This will have base of 3, and height of 3[tex]\sqrt{3}[/tex]. The area of this is
1/2 ( 3 )( 3[tex]\sqrt{3}[/tex] ), but the 1/2 cancels since we have 2 halves of the triangle, and so the area is 9.
[tex]\sqrt{3}[/tex] is approx. 1.732, so multiplying this by 9, our answer is 15.6
Answer:
15.6 inches squared.
Step-by-step explanation:
According to the diagram below, the formula for the area of an equilateral triangle is the square root of 3 times the side length squared divided by 4.
The side length is 6. So, the area of the triangle is...
[tex]\frac{\sqrt{3} * 6^2}{4}[/tex]
= [tex]\frac{6^2 * \sqrt{3}}{4}[/tex]
= [tex]\frac{36\sqrt{3}}{4}[/tex]
= [tex]9\sqrt{3}[/tex]
= 9 * 1.732050808
= 15.58845727, which is about 15.6 inches squared.
Hope this helps!
If the initial amount of iodine-131 is 537 grams , how much is left after 10 days?
Answer:
225.78 grams
Step-by-step explanation:
To solve this question, we would be using the formula
P(t) = Po × 2^t/n
Where P(t) = Remaining amount after r hours
Po = Initial amount
t = Time
In the question,
Where P(t) = Remaining amount after r hours = unknown
Po = Initial amount = 537
t = Time = 10 days
P(t) = 537 × 2^(10/)
P(t) = 225.78 grams
Therefore, the amount of iodine-131 left after 10 days = 225.78 grams
What is the rule for the transformation below?
=================================================
Explanation:
The translation notation T(-5, 3) looks like an ordered pair point, but it is not. Instead, it is a rule to tell you how to shift any point left/right and up/down. The first number is the left/right shifting as its done along the x axis. The negative value means we shift left, so we shift 5 units to the left. The positive 3 in the y coordinate place means we shift 3 units up.
We see this shifting happen when we go from
A = (-1, -1) to A ' = (-6, 2) B = (2, 3) to B ' = (-3, 6)C = (5, -3) to C ' = (0, 0)The translation notation T(-5, 3) is the same as writing [tex](x,y) \to (x-5, y+3)[/tex] which may be a more descriptive notation to use, and it would avoid confusion with ordered pair point notation.
The population of a town increases 10% every 3 years if the present population is 72600 calculate its population after 6 years and 6 years ago
Answer:
After 6 years = 87120 people.
Before 6 years = 5808 people.
Step-by-step explanation:
To calculate how many populations that are added in every 10% in 3 years:
72600 × 10/100 = 7260
After 6 years = 72600 + 7260 × 2 = 87120 people.
Before 6 years = 72600 - 7260 × 2 = 5808 people.
what is the equation for the table y=ab^x
Answer:
It is the equation for the table y=ab^x (b>1,and b≠1）
Step-by-step explanation:
Martha estimated there were 86 marbles in a jar for a contest. The actual number of marbles in the jar was 108. What was the percent error of Martha's estimation?
Answer:
Roughly 20.4%
Step-by-step explanation:
Use the formula of percent of error:
| Actual number - Guess / Actual number | (100)
The actual number is 108 and the guessed number is 86:
| 108 - 86 / 108 | (100)
= | 22/108 | (100)
= | 0.2037037037 | (100)
The vertical lines indicate absolute value. This means that anything inside of it must be turned into its positive form. Since it is already positive, just take the signs away:
0.2037037037(100)
≈ 0.204(100)
= 20.4
Turn this into a percent:
20.4%
Martha's percent of error is 20.4%
Please tell me if I was right or not. I really hope this helps!
Add this matrix to find the answer.
Answer:
[tex]\huge\boxed{Option \ 2:\left[\begin{array}{ccc}6&1\\1&5\end{array}\right]}[/tex]
Step-by-step explanation:
[tex]\left[\begin{array}{ccc}1&0\\-1&3\end{array}\right] +\left[\begin{array}{ccc}5&1\\2&2\end{array}\right][/tex]
Adding both the corresponding elements
[tex]\left[\begin{array}{ccc}1+5&0+1\\-1+2&3+2\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}6&1\\1&5\end{array}\right][/tex]
Can anyone help idk how to do it
Answer:
Carl can type 450 words in 5 minutes at that rate.
Step-by-step explanation:
Every two minutes, carl can type 180 words. To find out how many words he can type in 1 minute, all we have to to is divide 180 by 2 to get 90wpm (words per minute)
if we multiply 90wpm by 5 Minutes, we get 450 words per minute
For what value(s) of k will the function y=6x^2-8x+k have: a) one zero b) two zeros c) no zeros *this is not multiple choice*
Answer:
Step-by-step explanation:
Hello, please consider the following.
[tex]6x^2-8x+k=0\\\\\text{We compute the discriminant.}\\\\\Delta = b^2-4ac=8^2-4*6*k=8*8-8*3*k=8*(8-3k)[/tex]
And the we know that if the discriminant is
***** [tex]\Delta[/tex] < 0, meaning 8-3k<0, meaning
[tex]\boxed{k>\dfrac{8}{3}}[/tex]
then, there is no real solution.
***** [tex]\Delta = 0[/tex], meaning
[tex]\boxed{k=\dfrac{8}{3}}[/tex]
There is 1 solution.
***** [tex]\Delta[/tex] > 0, meaning
[tex]\boxed{k<\dfrac{8}{3}}[/tex]
There are 2 solutions.
Thank you
PS: To give more details...
[tex]8-3k=0\\\\\text{Add 3k}\\\\8=3k\\\\\text{Divide by 3}\\\\k=\dfrac{8}{3}[/tex]
The combined weight of three basset hounds is 185 pounds. The two smaller dogs weigh the same. The difference between the larger weight and the smaller weight is 20 pounds. How many pounds does the largest dog weigh?
Answer:
75 pounds
Step-by-step explanation:
(x) + (x) + (x+20) = 185
3x + 20 = 185
3x = 165
x = 55
Large dog = 55 + 20 = 75
Is the relation a function?
Answer:
Yes it's a function
Step-by-step explanation:
If you add 12 marshmallows to each of 5 bags of marshmallows, and each bag started with the same number of marshmallows, the total number of marshmallows is given by the expression 5(x+12). Identify an equivaler expression
The answer of the question is 60.
Answer:
The expression that is equivalent to the given expression is:
5x+60
Step-by-step explanation:
It is given that:
if you add 12 marshmallows to each of 5 bags of marshmallows, and each bag started with the same number of marshmallows.
so, let x be the initial number of marshmallows in each bag and now 12 are added to each bag this means that the number of marshmallows in each bag is:
x+12
Hence, total number of marshmallows in 5 bags is:
5(x+12)=5×x+5×12
5(x+12)=5x+60
Hence, the answer is:
5x+60
Feel free to brainliest :)
Create a box plot for either the girls or boys data. Give 2 valid conclusions based on the data collected? (4 points)
Answer:
1) Please find attached the box and whiskers chart created with Excel
2) The conclusions are;
a) The measure of central tendency (the mean and the median) are approximately equal,
b) The standard deviation for the first five data points is 14.17 while the standard deviation for the whole ten data points is 23.99 as such the data values appeared more clustered at the center and show wider spread towards right ends of the chart
Due to the lack of correlation between the standard deviation and the five data values, the data is not uniformly distributed
Step-by-step explanation:
The given data is as follows;
1, 2, 3, 4, 5, 6, 7, 8, 9, 10
15, 18, 22, 32, 50, 50, 55, 56, 81, 81
The first quartile Q₁ = 22
The second quartile, Q₂ (Median) = 50
The third quartile, Q₃ = 56
The interquartile range IQR = 56 - 22 = 34
The minimum value = 15
The maximum value = 81
The mean = 46
The standard deviation = 23.99
Therefore, the measure of central tendency (the mean and the median) are approximately equal,
The data values appeared more clustered at the center and show wider spread towards the left and right ends of the chart
The standard deviation for the first five data points is 14.17 while the standard deviation for the last five data points is
Due to the lack of correlation between the standard deviation and the five data values, the data is not uniformly distributed.
need halp 12x84 - -7000
12x84-(-7000)
1008+7000
=8008
Easy
Answer:
8008
Step-by-step explanation:
12x84-(-7000)
1008-(-7000)
1008+7000
8008
Note:
-&-=+
-&+=-
+&-=-
+&+=+
Hope this helps ;) ❤❤❤
PLEASE HELP ASAP!!!! A survey was taken of students in math classes to find out how many hours per day students spend on social media. The survey results for the first-, second-, and third-period classes are as follows: First period: 2, 4, 3, 1, 0, 2, 1, 3, 1, 4, 9, 2, 4, 3, 0 Second period: 3, 2, 3, 1, 3, 4, 2, 4, 3, 1, 0, 2, 3, 1, 2 Third period: 4, 5, 3, 4, 2, 3, 4, 1, 8, 2, 3, 1, 0, 2, 1, 3 Which is the best measure of center for second period, and why? Mean, because there are no outliers that affect the center Median, because there is one outlier that affects the center Interquartile range, because there is one outlier that affects the center Standard deviation, because there are no outliers that affect the center
Answer:
Answer: D : Median, because there is 1 outlier that affects the center
Step-by-step explanation:
Mean and median terms are use to measure the central tendency in a data set.
Mean is the best measure of center if there is no outlier present in the data otherwise median is the best measure of center if there is outlier present because outliers effects the means value of a data but not the median value.
In the third period, there is an outlier present as 8 that affects the center, then the best measure of center for third period must be Median.
En la figura adjunta se muestra un estuche de brocas de acero que sirven para perforar paredes de cemento. Las brocas están numeradas de menor a mayor tamaño y las dimensiones están dadas en pulgadas.
En la figura, por falta de espacio, se dan solo las dimensiones de las brocas 1 y 12. Se sabe que las demás brocas son de 9/16 de pulgadas, 3/16 de pulgada, 7/16 de pulgada, 5/16 pulgada, 11/16 pulgada, 1/4 pulgada, 3/8 pulgada, 1/2 pulgada, 5/8 pulgada y 1/8 de pulgada.
Identifica la medida de las brocas 2 a la 11 en pulgadas y ordénalas de menor a mayor tamaño.
Answer:
1/16 2/16 3/16 4/16 5/16 6/16 7/16 8/16 9/16 10/16 11/16 12/16
Step-by-step explanation:
Para la identificación de las brocas tenemos dos consideraciones:
1.- Fracciones de igual denominador son mas grandes en orden creciente según vayan creciendo los numeradores, de tal forma que entre
9/16 3/16 7/16 5/16 11/16 el orden es como sigue ( de menor a mayor)
3/16 5/16 7/16 9/16 11/16
2.- Las fracciones con denominadores distintos pueden llevarse a denominador común /16 amplificando la fracción es decir por ejemplo
1/4 = 1*4/4*4 = 4/16
Con ese procedimiento las convertimos todas al caso señalado en el punto anterior y ordenamos
1/4 = 4/16
3/8 = 6/16
1/2 = 8/16
5/8 = 10/16
1/8 = 2/16
Entonces hay diez brocas la primera será 1/16 y la número 12 12/16
Y finalmente el orden es:
1/16 2/16 3/16 4/16 5/16 6/16 7/16 8/16 9/16 10/16 11/16 12/16
can i please have help please?? Is 32,120 equal to 3.212×10 to the 4 power?
Answer:
Yes
Step-by-step explanation:
3.212 x 10^4
=> 3.212 x 10000
=> 32.12 x 1000
=> 321.2 x 100
=> 3212 x 10
=> 32120 x 1
=> 32120
Answer:
Yes
Step-by-step explanation:
In scientific notation, the power is the number of times you move the decimal place to the right.
3.212 x 10^4 is equivalent to 32,120 when you move the decimal place 4 times to the right.
So, 32,120 is equivalent to 3.212 x 10^4
pls solve this questions ,,with proper working..plsssssssss heeeeelpppp meeee......need to pass up tomorrow assignment..ASAP
Answer:
1). 114.29 km per hour
2). 93.24 km per hour
Step-by-step explanation:
Question (1)
Umar drove his taxi in two parts;
1). Ipoh to Tapah
2). Tapah to Kuala Lumpur
Since, the formula to calculate the average speed = [tex]\frac{\text{Distance}}{\text{Time}}[/tex]
Total distance from Ipoh to Tapah = 60 km
Average speed to cover this distance = 100 km per h
Time taken to cover this distance = [tex]\frac{\text{Distance covered}}{\text{Speed}}[/tex]
= [tex]\frac{60}{100}[/tex]
= 0.6 hours
Total distance from Ipoh to Kuala Lumpur = 220 km per h
Average speed from Ipoh to Kuala Lumpur = 110 km per h
Time taken to cover the distance = [tex]\frac{220}{110}[/tex] = 2 hours
Distance from Tapah to Kuala lumpur = 220 - 60
= 160 km
Time taken to travel from Tapah to Kuala Lumpur = 2 - 0.6
= 1.4 hours
Average speed from Tapah to Kuala Lumpur = [tex]\frac{160}{1.4}[/tex]
= 114. 29 km per hour
Question (2).
Speed achieved by the leopard = 25.9 meter per sec.
Since, 25.9 meter = [tex]\frac{25.9}{1000}[/tex] km
= 0.0259 km
1 second = [tex]\frac{1}{3600}[/tex] hour
Therefore 25.9 meter per second = [tex]\frac{0.0259}{\frac{1}{3600} }[/tex]
= 0.0259 × 3600
= 93.24 km per hour
5 less than a number is equivalent to 1 more than three times the number.
The value of the unknown number is calculated as - 3
Let the unknown number = y
5 less than the number is written as = y - 5
1 more than three times the number is written as = 1 + 3y
Since the first statement and the second statement are equal, we can equate the two and solve for y.
y - 5 = 1 + 3y
collect similar terms together
y - 3y = 1 + 5
-2y = 6
y = -6/2
y = -3
Therefore, the number is - 3
learn more here: https://brainly.com/question/22548668
Building and solving the expression, it is found that the number is -3.
------------------
The number is unknown, so we are going to call it x.5 less than the number is x - 5.Three times the number is 3x.1 more than three times the number is 1 + 3x.They are equivalent, thus:
[tex]x - 5 = 1 + 3x[/tex]
Solving for x.
[tex]3x - x = -5 - 1[/tex]
[tex]2x = -6[/tex]
[tex]x = -\frac{6}{2}[/tex]
[tex]x = -3[/tex]
The number is -3.
A similar problem is given at https://brainly.com/question/20742606
Use the quadratic formula to solve for the roots of the following equation.
x2 - 4x + 13 = 0 x=____a0 +- ______a1 I
2+3i, x=2−3
Explanation:
