Step-by-step explanation:
2 to the power x =1/32
2 to the power x =1/2 to the power 5
2 to the power x = 2 to the power -5
then,
x = -5
What inequality is shown
Answer:
Y ≤ X + 6
Step-by-step explanation:
Not sure if this is correct
Answer:
y<1/5x+6
Step-by-step explanation:
< bcs below line
dotted line means not equal(≤)
Question 19 of 25 The graph of F(x) shown below resembles the graph of G(X) = x4, but it has been vertically stretched. Which of the following could be the equation of F(x) ? 5 5 ÜL O A F(x) = -1x*
PLEASE SOMEONE HELP ME PLEASE PLEASE PLEASE
ANSWER EXPLANATION = BRAINLIEST
You can transform ⨀P to ⨀P' by translating it and then performing a dilation centered at P'. Find the translation rule and the scale factor of the dilation.
You can transform ⨀P to ⨀P' by translating it and then performing a dilation centered at P'. Find the translation rule and the scale factor of the dilation.
Simplify the scale factor and write it as a proper fraction, improper fraction, or whole number.
Translation: (x,y)↦( ____, ____)
Scale factor: ?
Step-by-step explanation:
Translation: (x,y)↦( 9, -12)
Scale factor: 2
Translation:
(x,y)↦( 9, -12 )
Scale factor:
2 is the required answer.
What is first quartile, third quartile, and interquartile range of 21 32 17 24 15 30 28 and 26. I found this quite confusing to understand
Given:
The data values are:
21, 32, 17, 24, 15, 30, 28 and 26.
To find:
The first quartile, third quartile, and interquartile range.
Solution:
We have,
21, 32, 17, 24, 15, 30, 28, 26
Arrange the data values in ascending order.
15, 17, 21, 24, 26, 28, 30, 32
Divide the data set in two equal parts.
(15, 17, 21, 24), (26, 28, 30, 32)
Divide each parenthesis in two equal parts.
(15, 17), (21, 24), (26, 28), (30, 32)
Now, the first quartile is:
[tex]Q_1=\dfrac{17+21}{2}[/tex]
[tex]Q_1=\dfrac{38}{2}[/tex]
[tex]Q_1=19[/tex]
The third quartile is:
[tex]Q_3=\dfrac{28+30}{2}[/tex]
[tex]Q_3=\dfrac{58}{2}[/tex]
[tex]Q_3=29[/tex]
The interquartile range is:
[tex]IQR=Q_3-Q_1[/tex]
[tex]IQR=29-19[/tex]
[tex]IQR=10[/tex]
Therefore, the first quartile is 19, third quartile is 29 and the interquartile range is 10.
3(x + 1)2 = 108
Create a list of your steps
Answer: 17
Step-by-step explanation:
3(x+1)2=108
Distribute the 3 first: (3x+3)2=108
Then divide by 2 on both sides: 3x+3= 54
Subtract 3 from both sides: 3x=51
Divide by 3 on both sides: x=17
What equation created the table on the left?
What equation created the table on the right?
Answer:
Equation on the left table: y = 3/5x
Equation on the right table: y = 3/5x - 2
The Pythagoras Theorem
Answer:
The Pythagoras theorem is a mathematical
law that states that the sum of squares of
the lengths of the two short sides of the
right triangle is equal to the square of the
length of the hypotenuse.
Step-by-step explanation:
a^2+b^2=c^2
Which symbol correctly completes the statement?
-7 + 2 ___ 3 + (-9)
>
<
=
?
Answer:
-7 + 2 ___ 3 + (-9)
lets break this up
-7+2=-5
3+(-9) or 3-9 = -6
so the correct one is...
B: <
mia is making a set of clay bowls . each bowl requires 3/4 pounds of clay .she has 5 5/6 pounds of clay . how many complete bowls can mia make
Answer:
7 bowls
Step-by-step explanation:
Sara bought a dress on sale for $33. She saved 40%. What was the original cost? $
Answer:
$55
Step-by-step explanation:
Step 1
Subtracted the discounted price by 100 to find the percentages original price giving you *60%*
Step 2
Multiply the price payed(final price which is $33) by 100 giving you *3300*
Step 3
Go back to step 1 and divide your answer in step 2(3300) by the percentage in step 1(60%) (3300/0.60=55)
What is 4/5 of 2kg in grams
Answer: 1600g
Step-by-step explanation: (4 * 2kg) / 5 = 8/5kg
8/5kg = 1.6kg
1.6kg * (1000g / 1kg) = 1600g
Answer:
1 3/5kg.
Step-by-step explanation:
So, to figure this out, lets go over what we know.
There is 2kg.
We need to find 4/5 of this.
A way you can think of this is 2kg*4/5. Or:
2*4/5
Remember, all whole numbers have a denominator of 1. So this is:
2/1*4/5
Or
[tex]\frac{2}{1} *\frac{4}{5}[/tex]
When doing multipaction, the numerator multipies hte numeraot, and the denominator multiplies the denominator.
So in the numerator, it will be 2 times 4:
2*4=8
And in the denominator, it will be 1 times 5:
1*5=5
So the answer is:
8/5
Hope this helps!
Can you explain it if you could I don’t get it
Step-by-step explanation:
The Triangle Sum Theorem states that the interior angles of a triangle add up to 180 degrees. A square for an angle symbolizes that the angle is 90 °, as is the case with angle ∠ACB.
Therefore, as ∠CAB = 2x and ∠ABC = 3x, and angles ∠ACB, ∠CAB, and ∠ABC make up the interior angles of the triangle, we can say that ∠ACB + ∠CAB + ∠ABC = 180, so 90 + 2x + 3x = 180
90 + 2x + 3x = 180
90 + 5x = 180
subtract 90 from both sides to separate the x and its coefficient
5x = 90
divide both sides by 5 to separate the x
x = 18
(a) ∠CAB = 2x = 18(2) = 36
(b) ∠ABC = 3x = 18(3) = 54
(c) Any triangle with a 90° angle is called a right triangle. This has a 90° triangle, and is therefore a right triangle. Similarly, a 90° angle in a triangle is called a right angle.
The junior senator can do a labyrinth in 50 minutes. The senior senator can do a labyrinth in 30 minutes. Working together, how many minutes would it take them to work their way through 12 labyrinths?
Answer:
[tex]225\:\text{minutes}[/tex]
Step-by-step explanation:
To navigate through this problem, start by finding how much each senator can complete in a fixed amount of time. I'll choose 10 as it's the greatest common factor of 30 and 50.
In 10 minutes, the junior senator can complete [tex]\frac{10}{50}=\frac{1}{5}[/tex] of the labyrinth.
In 10 minutes, the senior senator can complete [tex]\frac{10}{30}=\frac{1}{3}[/tex] of the labyrinth.
Therefore, working together, they can complete [tex]\frac{1}{5}+\frac{1}{3}=\frac{8}{15}[/tex] of the labyrinth in 10 minutes. Thus, it will take them [tex]\frac{15}{8}\cdot 10 \text{ minutes}=18.75\:\text{minutes}[/tex] to complete one labyrinth.
The amount of time it take them to complete 12 labyrinths is then [tex]18.75\cdot 12 =\boxed{225\:\text{minutes}}[/tex]
A gardener uses a rainwater collection barrel (storage container) shaped like a right cylinder to store water for his plants. The barrel has a radius of 1.5 feet and a height of 3.5 feet. The gardener plans to build a small square fence so that the barrel just fits inside the square fence as shown here.
Which of the following is the best approximation of the perimeter of the fence the gardener will build?
A. 14 feet
B. 9 feet
C. 12 feet
D. 6 feet
Answer:
Option C
Step-by-step explanation:
Barrel (storage container) is enclosed in a small square fence.
Since, barrel is touching the surfaces from four sides of the cylindrical barrel.
Length of each side of the square fence = Diameter of the barrel
= 2(radius of the barrel)
= 2(1.5)
= 3 feet
Perimeter of a square = 4(Side of a square)
= 4(3)
= 12 feet
Therefore, Option C will be the correct option.
determine the volume of a cylinder if its height is 5mm and a radius of 12mm
Answer:
Step-by-step explanation:
V = pi * r^2 * h
r = 12 mm
h = 5 mm
pi = 3.14
V= 3.14 * 12^2 * 5
V = 3.14 * 144 * 5
V = 2260.8 cm^3
A hot air balloon holds 4,328 cubic meters of helium. The density of helium is 0.1785 kilograms per cubic meter. How many kilograms of helium does the balloon contain, rounded to the nearest tenth of a kilogram? (5 points)
Question 7 options:
1)
3,747.9 kg
2)
3,875.3 kg
3)
772.5 kg
4)
4,383.2 kg
Answer: 3) 772.5 kg
Step-by-step explanation: That's what I got and I'm 100% sure that's the answer
Answer:
The answer 772.5
Step-by-step explanation:
You would use the density formula to figure out the mass.
Density = mass/volume
We have the density of helium (0.1785) and the volume of how much the hot air balloon can hold (4,328).
0.1785 = x / 4,318
0.1785 * 4,318 = x
772.548 = x
Then rounded to the nearest tenth would be 772.5, the third option.
What is the explicit rule for the geometric sequence?
600,300,150,75,
Answer:
[tex]a_{n} = 600/2^{n-1}[/tex]
This the correct answer
[tex]50.705 \div 2.646[/tex]
Answer:
19.1628873772
Step-by-step explanation:
50.70500 ÷ 2.64600 = 19.1628873772
9. Leonard made a deposit of $4,500 into a
savings account which earns 7% annual
compound interest. Assuming he makes no other
deposits or withdrawals, which of the following
shows the amount of interest his account should
earn after 15 years?
A. $12,415.64
B. $7, 915.64
C. $16,915.64
D. $8,115.64
(please help, it’s urgent) :)
Answer:
id say a
Step-by-step explanation:
The amount of interest his account should earn after 15 years is:
$7, 915.64.
Here, we have,
Compound interest is when you earn interest on both the money you've saved and the interest you earn.
Formula:
A = P(1 + {r}/{n})^{n.t}
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
Here, given that, P =$4,500 , r= 7%, t=15yr , n=365days
Let, A= x
Now, x =$4,500(1+7/100×365)^(365×15)
x=$12415.64
i.e. final amount = $12415.64
so, the amount of interest his account should earn after 15 years is:
$12415.64 - 4500 = $7, 915.64
Hence, the amount of interest his account should earn after 15 years is: $7, 915.64
To learn more on Compound interest click:
brainly.com/question/29335425
#SPJ2
Brainliest goes to whoever answers correctly and explains also if you want extra points answer my other questions
Answer:
Step-by-step explanation:
y = mx + c (slope/intercept form)
c = 0 (this is the y intercept)
The format will be of y = mx
The gradient acts as the slope (m)
'y' acts as the line represented on the graph, or the 'times visited'
'x' is the independent variable, or the 'days for sale'
m = 10/5 = 2 (rise/run on the line shown)
m = 2
y = 2x
40 days > . y = (2 x 40), y = 80 (number of times the house has been visited)
70 times visited > . 70 = 2x
70 / 2 = 35
x = 35 (days for sale)
a rectangular field is 20m long and 15m wide.there is a path of uniform width all around it having an area of 450m^2.find the width of the path.
Answer:
22.5m
Step-by-step explanation:
450m²÷20m=22.5m
What is the missing statement in the proof?
Explanation:
Statements 2 through 3 set up the "S" parts of "SAS", which are the two congruent pairs of sides. Then between those sides is the angle "A", which is what statement 1 refers to. The order is important because SAS is a valid congruence theorem but SSA is not a valid congruence theorem. So the angle must be between the sides.
PLEASE HELP
I REALLY NEED ALOT OF HELP
Answer:
i think its A or C so im gonna say C if not im soooooooooooooooooo sorry <3
Step-by-step explanation:
Thực hiện phép nhân, rút gọn rồi tính giá trị của biểu thức :
a) x(x - y) + y(x + y)
tại x = -6 và y = 8;
b) x(x - y) = x^(x + y) + yx2 – x) tại x =
1
và y = -100,
2
Answer:
i do not understand what youre asking
Step-by-step explanation:
see^^^^^
The roof leading to the top of a hill has an angle of elevation of 23 degrees. The hill is 120 feet high what is the leanth of the road to the top of the hill to the nearest hundredth
Answer: [tex]307.11\ ft[/tex]
Step-by-step explanation:
Given
The height of hill is 120 ft and the angle of elevation is [tex]23^{\circ}[/tex]
Suppose the length of the road is [tex]x[/tex]
From the figure, we can write
[tex]\Rightarrow \sin 23^{\circ}=\dfrac{120}{x}\\\\\Rightarrow x=\dfrac{120}{\sin 23^{\circ}}\\\\\Rightarrow x=307.11\ ft[/tex]
Thus, the length of the road is [tex]307.11\ ft[/tex]
HELP ME PLSSS
The graphs below have the same shape. What is the equation of the blue
graph?
g(x) =
O A. g(x) = (x - 4)2 + 1
O B. g(x) = (x + 4)2 + 1
O C. g(x) = (x – 4)2 - 1
O D. g(x) = (x + 4)2 - 1
Solve 7x-c=k for x
...........
Answer:
The value of x in given question will be [tex]x=\frac{k+c}{7}[/tex]
Step-by-step explanation:
Given data:
7x-c=k
Now,
7x-c=K
7x=K+c
[tex]x=\frac{k+c}{7}[/tex]
Therefore,
The value of x in given question will be : k+c/7
Travis bounced a ball20 feet and San bounced a ball 32 feet high. How much higher did Sam bounce the ball?
Answer:32-20=12
Step-by-step explanation:
Answer:
12 feet
Step-by-step explanation:
60% higher than Travis
Write an equation for the graph below using its zeros.
Answer:
Step-by-step explanation:
It's a cubic.
It has 1 root that cuts the x axis at x = -4
It has 2 roots that are the same. The reason you know this is because the curve touches the x axis, but does not go through the x axis, at 3.
y = (x + 4) (x - 3)(x - 3)
Notice the sign change. x has to have sign change when going from a root to a binomial
The root is - 4. The binomial is (x + 4)
The same argument works for x = 3
10 cm
12 cm
20 cm
12 + x
G
12 cm
A
X
Answer:
x = 12 cm and y = 24 cm
Step-by-step explanation:
Three sides of the first triangle are 10 cm, 12 cm and 12 cm.
Three sides of second triangle are 20 cm, 12+x cm and y cm.
As these two triangles are similar, it means,
[tex]\dfrac{10}{20}=\dfrac{12}{12+x}=\dfrac{12}{y}\\\\\dfrac{1}{2}=\dfrac{12}{12+x}=\dfrac{12}{y}\\\\\dfrac{1}{2}=\dfrac{12}{y}\ \text{and}\ \dfrac{1}{2}=\dfrac{12}{12+x}\\\\y=24\ cm\ \text{and}\ 24=12+x,x=12 cm[/tex]
So, the value of x is 12 cm and that of y is 24 cm.