[tex]~~~~~37^x = 12\\\\\implies \ln\left( 37^x \right) = \ln(12)\\\\\implies x \ln (37) = \ln(12)\\\\\implies x = \dfrac{\ln(12)}{\ln(37)}\\\\\implies x \approx 0.689[/tex]
What statement is NOT true comparing the two
box and whisker plots?
Answer: C
Step-by-step explanation:
The minimum is the line furthest to the left, and they are both lined up. The median, the line inside the box, is on 12. The third quartile, the edge of the box on the right hand side, are the same for both graphs. However, test 1 has a lower first quartile, the edge of the box on the right hand side, than test 2.
If the dimensions of a rectangle with a perimeter of 12 cm are doubled, what will be
the perimeter of the new rectangle?
Step-by-step explanation:
the perimeter is the sum of the 4 individual sides.
if the sides are doubled, so is the sum of them.
therefore, the new perimeter is then
12×2 = 24 cm
Can someone explain this step by step for me? its from a review so ignore my wrong answer. Thank you!
Answer:
[tex]P(\text{Male}|\text{Divorced})\approx0.092[/tex]
Step-by-step explanation:
[tex]\displaystyle P(\text{Male}|\text{Divorced})=\frac{P(\text{Male and Divorced})}{P(\text{Male})}=\frac{\frac{9.6}{214.7}}{\frac{104.5}{214.7}}\approx0.092[/tex]
We can even break this down further by simply only looking at the total amount of males, and finding the proportion of males that are divorced, which is [tex]\frac{9.6}{104.5}\approx0.092[/tex], the same value.
Note that P(Male | Divorced) means the probability of choosing a male, given (|) that person is divorced.
A ladder 5m long rests against a house and makes an angle of 720 with the ground. How far does the ladder reach up the wall?
The area of a triangle is 7.5 . The base of the triangle is 5 cm .what is the height of this triangle.
Area
1/2BH=7.51/2(5)H=7.52.5H=7.5H=7.5/2.5H=3cm= 3 cm
Step-by-step explanation:[tex] \frac{1}{2} BH = 7,5 \\ \\ (\frac{1}{2} \times5)H=7,5 \\ \\ 2,5H = 7,5 \\ \\ H=7,5 \div 2,5 \\ H=3 \: cm[/tex]
Answer by NinaDon't copy from anywhere ✅Don't Look at Rank ✅Find the volume of the solid.
Solid is a substance that can be measured. The required volume of a solid is 90 cubic cm
Volume of solidsThe formula for calculating the volume of a solid ie expressed as:
V = lwh
l is the length
w is the width
h is the height
For the given figure;
Volume = (11 * 2 * 3) + (2 * 3 * 4)
Volume = 66 + 24
Volume = 90 square cm
The required volume of a solid is 90 cubic cm
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What type of solution is this expression (one solution, no solution, or infinite solutions)
4x + 2x - 2 = 3x + 7
Answer: One solution
Step-by-step explanation:
6x-2=3x+7
3x-9
x=3
Please someone help me
Answer:
Pls can u type it out ur self so I can help u out
What is the circumference of the circle shown in terms of pi?
Answer:
10πcm
Step-by-step explanation:
radius of the circle= 5cm
circumference of a circle has the formular
= 2πr
= 2×π×5
then In terms of pi
= 10πcm
Factor: 2n2 - 11n + 15
Answer:
(2n-1)(n-5)
Step-by-step explanation:
2n2-11n+5
2n2-10n-1n+5
(factorize)
2n(n-5)-1(n-5)
(2n-1)(n-5)
Find the time that that the projectile will reach a height of 96 ft and return to the ground when v0 = 112 feet per second
The time that the projectile will reach a height of 96 ft and return to the ground will be 6 seconds.
What is kinematics?It is the study of the motion of a body without considering mass. And the reason behind them is neglected.
The projectile will reach a height of 96 ft and return to the ground when v₀ = 112 feet per second
The time it takes to reach feet and return to the ground will be
T = 2v₀ / g
Where g = 32.2 feet per square second.
Then we have
T = 2 x 112 / 32.2
T = 5.956
T ≅ 6 seconds
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A lawn sprinkler sprays water 12 feet in every direction as it rotates. What is the area of the sprinkled lawn?
km2 − m Please answer!!!!!
Step-by-step explanation:
1km=1000m
2km=2×1000m
2km=2000m
solve the equation 1/x + 3/x =16
[tex] \qquad \qquad \qquad \frac{1}{x} + \frac{3}{x } = 16[/tex]
This is how to solve your problem:
Combine fracrions with common denominator[tex] \qquad \qquad \frac{1}{x} + \frac{3}{x} = 16[/tex]
[tex] \qquad \qquad \frac{1 + 3}{ x} = 16[/tex]
Add the numbers[tex] \qquad \qquad \qquad\frac{1 + 3}{x} = 16[/tex]
[tex] \qquad \qquad\frac{4}{x} = 16 [/tex]
Multiply all terms by the same value to eliminate fraction denominators[tex] \qquad \qquad \qquad \color{skyblue}{ \frac{4}{x} = 16}[/tex]
[tex] \qquad \qquad \qquad \color{gold}{x .\frac{4}{x} = x.16}[/tex]
Cancel multiplied terms that are denominator[tex] \qquad \qquad \: x.\frac{4}{x} = x.16 [/tex]
[tex] \qquad \qquad 4 = x.16[/tex]
Re-order terms so constants are on the left[tex] \qquad \qquad4 = x.16[/tex]
[tex] \qquad \qquad 4 = 16x[/tex]
Divide boths sides by the same factor[tex] \qquad \qquad4 = 16x[/tex]
[tex] \qquad \qquad\frac{4}{16} = \frac{16x}{16} [/tex]
Simplifydivide the numbersCancel terms that are in both the numerator and denominatorMove the variable to the left[tex] \qquad \qquad x = \frac{1}{4} [/tex]
the final answer is :
[tex]x = \frac{1}{4} [/tex]
Sandy baked two dozen cookies. She gave ten cookies to the neighbours and ate three cookies.
How many cookies are left?
Answer:
11
Step-by-step explanation:
2 dozen = 24
24-10=14
14-3=11
Answer:
11
Step-by-step explanation:
two dozens is 24 because one dozen is 12. 24-10=14-3=11
What is the area of the figure?
Answer:
Area = 28 cm^2
Step-by-step explanation:
Triangle Area = 1/2 * 5 * 4 = 10 cm^2
Big Rectangle = 4 * 3 = 12 cm^2
Small Rectangle = 4 * 1.5 = 6 cm^2
Total Area = 10 + 12 + 6 = 28 cm^2
Answer:
Step-by-step explanation:
Discussion
Area of the Triangle
3 4 5 is the first triangle most people encounter when they begin their study of the Pythagorean Theorem. You can show this to be true by trying it.
c = 5
b = 3
a = 4
c^2 = a^2 + b^2 Equation Substitute values
c^2 = 3^2 + 4^2 Expand
c^2 = 9 + 16 Combine
c^2 = 25 Take the square root of both sides.
√c^2 = √25
c = 5 Which is exactly what you are given.
A right triangle has the property of Area = 1/2 * a * b using the values given above.
Find the area of the triangle
Area = 1/2 a * b
Area = 1/2 3 * 4
Area = 6
Find the area of the rectangle
L = 3 + 1.5 =4.5 Just add the two parts of the vertical line together.
w = 8 - 4 = 4
Area of the rectangle = L * w Substitute values
Area of the rectangle = 4.5 * 4
Area of the rectangle = 18 Add
Total area 24
Answer
24 cm^2
85% of fans going to a baseball game will spend at least $7.00 on food at the ballpark.
If 38,214 fans come out to Miller Park to watch the Milwaukee Brewers play against the Miami Marlins, how
much money will the ballpark make on food sales?
Answer:
$227,373.3
Step-by-step explanation:
85% of 38,214 is 32,481.9
If 32,481.9 will spend at least $7.00 on food that will give us $227,373.3
What is the slope and y-intercept of this line?
y = -3x+9
A. slope: 3, y-intercept: -9
B. slope: -3, y-intercept: 9
C. slope: 1. y-intercept: -3
D. slope: 9, y-intercept: -3
1. Express 729 as a power of 3.
(a) 38 (b) 36 c) 9³ d) none of these
Answer:
Option C: 9³
Step-by-step explanation:
9 * 9 = 81
( 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 +9 )
81 * 9 = 729
( 81 + 81 + 81 + 81 + 81 + 81 + 81 + 81 + 81)
Il give people 50 points If they do this please
Answer:
a) Time spent, x (minute): 50 < x ≤ 60
b) Time spent, x (minute): 20 < x ≤ 30
Step-by-step explanation:
a) The modal class is the class interval with the highest frequency in a frequency table which is 21 (right column)
b) Find the total amount of Frequency:
12 + 18 + 11 + 9 + 8 + 21 = 79
to find mid number through the data set divided by 2:
79 / 2 = 39.5
so add up the frequency till you reach 39.5 (max)
12 + 18 = 30
30 + 11 = 41 this passes through 39.5 so the median is in the 3rd row
area of parellogram
pls help
Answer:
136
Step-by-step explanation:
simple as you can remember, the area of a parallelgram has the exact formula as the rectangle,
lw = a.
This brings us to 8 × 17, which is 136.
Select the correct answer.
Solve for x.
x-2x-24 = 0
Answer:
x = -24
Please mark brainliest :)
Answer
-24
Step-by-step explanation:
Julia is using this figure to prove that triangle ABC is an isosceles triangle. First, she used the converse of the perpendicular bisector theorem and the definition of perpendicular lines to determine that CE is the perpendicular bisector of AB.
The next step of the valid proof is that AE = CE because of the perpendicular bisector theorem.
What is a perpendicular bisector theorem?The perpendicular bisector theorem states that any point on the perpendicular bisector is equidistant from the endpoints of the line segment on which it is drawn.
In this case, Julia is using this figure to prove that triangle ABC is an isosceles triangle. After the steps given, the next step will be to indicate that AE = CE because of the perpendicular bisector theorem.
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Answer:
AC = BC because of the perpendicular bisector theorem
Step-by-step explanation:
I got it right on the test
Find the cardinal number for the following set A.
A= {x | x is a letter in the word aftershock}
The cardinal number of set A is
Answer:
I hope this answer is correct
Area of prisim…………………
Answer:
85.2 cm^2
Step-by-step explanation:
two bases' area 2 * 15.6 = 31.2 cm^2
now add the three sides....they are all the same size
three X 6 x 3 = 54 cm^2
summed = 85.2 cm^2
Ralph deposited $910 in an account that pays 1.75% simple interest, for three years.
How much interest did the account earn?
What is the ending balance?
How much interest did the account earn the first year?
How much interest did the account earn the third year?
Answer:
Find the interest. Formula interest = PRT Principal x rate x time
910.00 x 1.75% x 1 =
910.00 x 0.0175 x 1 =
15.93 is the interest.
Step-by-step explanation:
Guys I have a calculus test tomorrow and need help ASAP
Answer:
1) (Un) is a geometric sequence.
2) Un+1 - Un ≤ 0.
3) (Un) is decreasing.
4) (Un) is convergent.
5) sum = 155
Step-by-step explanation:
Un+1 = 0.5Un
U₀ = 80
1) U is a geometric sequence (reason : Un+1 = 0.5Un).
2) Un+1 - Un = 0.5Un - Un = Un×(0.5 - 1) = -0.5Un ≤ 0 (because Un ≥ 0).
Remark: use Mathematical induction to prove that Un ≥ 0
3) Un+1 - Un ≤ 0
then
Un+1 ≤ Un
then
the sequence U is decreasing.
4) U is decreasing and Un ≥ 0
Then U is convergent.
5) Since U is geometric sequence with first term U0 = 80 and common ratio = 0.5 .
Important: review the sum of consecutive terms of a geometric sequence.
Then
[tex]U_0+ U_1+ U_2+ U_3+ U_4=U_{0}\times \frac{1-\left( 0.5\right)^{5} }{1-0.5}=160\times(1-\left( 0.5\right)^{5} )=155[/tex]
Sulio wants to build a wooden fence to enclose his vegetable garden. Determine the amount of fencing he needs by finding the perimeter of the garden.
Perimeter = 2 times length + 2 times width. The length of a garden is 8 feet and the width is 6 feet.
Evaluate the formula for the perimeter of a parallelogram to solve the problem. Then check all that apply.
First, write the formula for the perimeter of a parallelogram, P = 2l + 2w.
Next, use parentheses when you substitute 8 for l and 6 for w.
After multiplying, add 16 and 12.
Sulio needs 28 feet of fencing.
Sulio needs 48 feet of fencing.
The perimeter of the rectangle is 28 feet. Then Sulio needs 28 feet of fencing.
What is the perimeter of a rectangle?For a rectangle with length and width L and W units, we get:
Perimeter of the rectangle = 2(L + W) units
Sulio wants to build a wooden fence to enclose his vegetable garden. Determine the amount of fencing he needs by finding the perimeter of the garden.
The length of a garden is 8 feet and the width is 6 feet.
Then the perimeter of the rectangle will be
Perimeter = 2 (8 + 6)
Perimeter = 2 x 14
Perimeter = 28 feet
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Answer:
Look at this image.
Step-by-step explanation:
A, B, C, D. I am intelligent
Which term refers to when there are excessively large amounts of people in a specific area, which limits access to resources?
A. Population
B. Migration
C. Refugee
D. Overpopulation
Answer:
D. Overpopulation
Step-by-step explanation:
Overpopulation is the number of a people in an area exceeds the capacity of the environment to support life at a decent standard of living. When there is a population exceeding the amounts of resources that are provided, it can cause issues as there are nonrenewable resources meaning that there is limited resources for everyone. This is bad as it can become a crisis.
The temperature outside changed from 82°F to 46°F over a period of six days. If the temperature changed by the same amount
each day, what was the daily temperature change?
A. 36°F
B. -6°F
C. 6°F
D. -36°F
Answer:
B. -6
Step-by-step explanation:
You know immediately that it will be negative, because the temp is going down.
To find the exact answer, start by finding the difference between the two temps
82-46 = 36
since its a six day period, divide 36 by 6
36/6 = 6
so, the answer is -6