The function h(t)=6+3ln(t+1) is a logarithmic function
The height of the tree will exceed 18 feet after 53.6 years
How to determine the number of years?The function is given as:
h(t)=6+3ln(t+1)
When the height is 18 feet, we have:
6+3ln(t+1) = 18
Subtract 6 from both sides
3ln(t+1) = 12
Divide both sides by 3
ln(t+1) = 4
Take the exponent of both sides
t + 1 = e^4
Evaluate the exponent
t + 1 = 54.6
Subtract 1 from both sides
t = 53.6
This means that the height of the tree will exceed 18 feet after 53.6 years
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Someone do number 8 pleaseeee
Answer:
3 7/8 liters
Step-by-step explanation: 3 7/8 liters because she first filled one container with 1 5/8 liters of rice and 2 1/4 liters on the other. Since you want to know how much she has in both you add 1 5/8 and 2 1/4. After that you convert 2 1/4 into 2 2/8 and add that to 1 5/8 to get 3 7/8 liters of rice.
In these number grids, two numbers are added to give the number below.
Example:
13
12
13 + 12 = 25
25
Write numbers in the number grid to make it correct.
4
9
35
Answer:
11, 15, 20
Step-by-step explanation:
[tex]there \: would \: be \: 11 \: between \: 4 \: and \: 9 \\ 4 + 11 = 15 \\ 11 + 9 = 20 \\ 20 + 15 = 35 \\ \: please \: rate \: brainliest[/tex]
The numbers in the grid are:
4 11 9
15 20
35
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
4 + x = a _____(1)
9 + x = b ______(2)
And a + b = 35
From (1) and (2),
4 + x = a
9 + x = b
13 + 2x = a + b ( Adding )
Now,
13 + 2x = a + b
13 + 2x = 35
2x = 22
x = 11
Thus,
4 11 9
15 20
35
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Solve this pls 7x-10-x=2x+26
Answer:
[tex]7x - 10 - x = 2x + 26[/tex]Taking like terms ( i.e. terms with same variables ) to left side and constant terms ( i.e. simple numbers ) to right side . .
[tex]⇢7x - x - 2x = 26 + 10[/tex][tex]⇢6x - 2x = 36[/tex][tex]⇢4x = 36[/tex][tex]⇢x = \frac{36}{4} [/tex][tex]⇢ \boxed{x = 9}[/tex]
Answer:
x = 9
Step-by-step explanation:
#1) Simplify each side.
7x - 10 - x = 2x + 266x - 10 = 2x + 26#2) Bring x terms to the left side and numbers to the other side.
6x - 2x = 26 + 104x = 36#3) Divide both sides by 4.
4x/4 = 36/4x = 9what is the area of a trapezoid with coordinated (0.0), (1,3), (4,3), (2,0)? (no picture given)
a. 2
b. 6
c. 9
d. 8
The area of the trapezoid, to the nearest whole number is: D. 8 units²
What is the Area of a Trapezoid?Area of trapezoid = 1/2(a + b)h, where:
h = height of trapezoida and b = lengths of the bases of the trapezoid.Using the coordinates of the trapezoid, (0,0), (1,3), (4,3), (2,0), the points have been plotted on a coordinate plane as shown in the image attached below, and we have the following dimensions of the trapezoid:
h = 3 unitsa = 3 unitsb = 2 unitsArea of the trapezoid = 1/2(a + b)h = 1/2(3 + 2)3
Area of the trapezoid = 7.5 ≈ 8 units²
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Help with this question here please
Answer:
that is 4.6 m that the answer
find the vertical asymptote(s).
Answer:
x = 1
Step-by-step explanation:
To find the vertical asymptote(s) we set the denominator to 0, but first we have to factor and simplify the function
[tex]f(x)=\frac{(x+1)(x-7)(x+10)}{(x-1)(x-7)(x+10)}[/tex]
step 1 the function is already factored so we just have to simplify it by canceling like terms
[tex]f(x)=\frac{x+1}{x-1}[/tex]
step 2 set denominator to 0 and solve for x
x - 1 = 0
step 3 add 1 to both sides
x = 1
Answer: x = 1
By "doing the math" from the function given:
Given:
[tex]f (x) =\displaystyle \frac{(x+1)(x-7)(x-10)}{(x-1)(x-7)(x-10)}[/tex]
Terms in both the numerator and denominator are equal to 1:
[tex]f (x) =\displaystyle \frac{(x+1)}{(x-1)}[/tex]
We cannot have a denominator equal to 0, because you cannot divide by 0, so the vertical asymptote is x = 1 since 1 - 1 = 0. This can also be found by setting the denominator equal to 0 and solving for x.
By graphing:
A vertical asymptote, put simply, is a vertical line "within" the domain, but not a part of the graph. I will graph the equation given and see what we come up with.
-> See attached
Either way, the answer to your problem is:
x = 1
For her mother's birthday, Eva spends $6.78 on a photo. She also buys 4 balloons for $1.49 each and a box of blueberries for $4.50. How much money does she spend all together?
Hope the picture will help you!!
Answer: $17.24
Step-by-step explanation:
6.78 + (1.49 x 4) + 4.50= 17.24
What are the roots of the quadratic equation y=x^2 -10x +125?
Answer:
A is the correct answer
Step-by-step explanation:
Answer:
[tex]x=5\pm10i[/tex]
Step-by-step explanation:
[tex]y=x^2-10x+125\\\\0=x^2-10x+125\\\\0-100=x^2-10x+125-100\\\\-100=x^2-10x+25\\\\-100=(x-5)^2\\\\\pm10i=x-5\\\\5\pm10i=x\\\\x=5\pm10i[/tex]
Charlotte is redecorating the master bedroom in her house. She has purchased a new bedroom set and also plans to paint the room and put in new flooring. The room is rectangular, with dimensions of 16 feet (length) by 13 feet (width). The walls in the room are 9 feet tall, and the room contains two doors and two windows. Charlotte has decided to put new carpet in the bedroom. The carpet she chose costs $1.85 per square foot, not including the cost of labor or other related materials. She was given the following information by the local flooring store where she is purchasing the carpet. She is required to purchase a piece of carpet which includes a 3-inch overlap on all sides. Labor and material costs will relate to the area of this piece. The labor costs are $23 per hour, per person. A two-person carpet crew can lay 50 square feet of carpet each hour. The crew that will complete the job at Charlotte's house will be a four-person crew. There is an additional $75 fee to cover the cost of equipment, materials, and supplies. What are the dimensions of the piece of carpet that Charlotte must purchase? Note: Express your answer as a decimal number and do not round.
Answer: 2.23 hours
Step-by-step explanation:
dimensions of the room------------------- >16*13
1 in---------------- >0.0833333 foot
3 in----------------- >x
x=3*.0833333=0.25 ft
Let
C-------------- > dimensions of the piece of carpet that Charlotte must purchase
C-------------- > (16+2*0.25)*(13+2*0.25)---------- > (16.50)*(13.50)=222.75 ft²
The answer a the question 1) is 16.50 feet X 13.50 feet
The answer a the question 2) is 222.75 ft²
3. How many hours should it take for the four-person crew to lay the flooring in Charlotte's bedroom?
if two-person carpet crew can lay 50 square feet of carpet---------- > 1 hour
four person carpet crew can lay 100 square feet of carpet---------- > 1 hour
therefore
if 100 ft² carpet----------------------- > 1 hour
222.75 ft² carpet--------------------- > x
x=222.75/100=2.2275 hours=2.23 hours
The answer is 2.23 hours
Help please I’ll give you 45 points
Answer:
63 square inches
Step-by-step explanation:
You already have the polgygon divided into two rectangles, so we will use them.
The top rectangle has the dimensions of 5 and 9.
The bottom rectangle has the dimensions of 6 and 3.
To find the area of a rectangle:
area = length x width
A = lw
The area of the top rectangle:
A = 5 x 9
A = 45 square inches
The area of the bottom rectangle:
A = 6 x 3
A = 18 square inches
To find the total area, add the two areas together.
45 + 18 = 63 square inches
Help pls :)I’m a little slow
Answer:
The number line "D" represents the solution to 5+8x<3(2x+4)
Answer:
Solve;
5 + 8x < 3(2x + 4)
Perform the distributive property:
5 + 8x < 6x + 12
-5 -5
8x < 6x + 7
-6x -6x
2x < 7
/2 /2
x < 3.5, so your answer is D.
(40 POINT REWARD)
Find the measure of angle b.
(Picture below.)
Answer:
b= 26 degrees
Step-by-step explanation:
A whole circle is equal to 360 degrees, so subtract 298 from it and get 62.
62 is the gap and also the value of the whole angle b+36.
Subtract 36 from 62 to get b.
62-36 = 26 degrees
Your answer!
1. The sample mean weight of 100 chimpanzees was measured to be 82.4 pounds, with a standard deviation of 12.6 pounds. Using a 1% level of significance, what could we claim about the population mean weight for all chimpanzees so that it will fail to be rejected?
Using the t-distribution, as we have the standard deviation for the sample, we could claim that the mean weight in pounds is in the interval (79.1, 85.7).
What is a t-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.The critical value, using a t-distribution calculator, for a two-tailed 99% confidence interval, with 100 - 1 = 99 df, is t = 2.6259.
The other parameters have values given by:
[tex]\overline{x} = 82.4, s = 12.6, n = 100[/tex].
We could claim that the mean is any value in the 99% confidence interval, which has bounds given by:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 82.4 - 2.6259\frac{12.6}{\sqrt{100}} = 79.1[/tex]
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 82.4 + 2.6259\frac{12.6}{\sqrt{100}} = 85.7[/tex]
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solve for x
sin(2x)=sin(x)
Explain steps please
There are multiple possible solutions for x, two examples are x = 0° and x = 360°.
How to find the value of x?We need to solve the equation:
sin(2x) = sin(x)
Then we need to find a value x such that the sine of 2x is equal to the sine of x.
Now, because of the periodicity of the sine equation, there are a lot of possible values of x.
One example, trivial, is x = 0, this is because 2*0 = 0, then we would have:
sin(2*0) = sin(0)
sin(0) = sin(0).
Another case is if we take x = 360° (remember that 360° is the period of the sine function), then we can have:
sin(2*360°) = sin(360°)
sin(720°) = sin(360°) = 0
Then x = 360° is another solution.
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Last year. Samara practiced playing the violin for 26 hours the piano for 35 hours, the flute for 41 hours, and the drums for 18 hours How many days in total did she practice playing her musical instruments? Explain Your answer.
Answer:
5 days
Step-by-step explanation:
26+35+41+ 18 = 120
120/24 = 5
The triangles are similar.
What is the value of x?
Answer: The answer is 13, read on to find out
Step-by-step explanation: The traingles are simliar so the values are similar as well. Find a lowest common factor of the values.
The lowest common factor is 4 because all the numbers can be divided by the number 4.
20 divided by 4 is 5 which is already shown on the graph
48 divided by 4 is 12
All we have to do now is 52 divided by 4
13Hope I helped you answer the question! Have a great day/afternoon!
A shipping box has to have specific dimensions to hold an item. The volume must be 7500 cubic inches. The length must be 5 times the width and the height must be 5 inches more than the width. Give the dimensions of the box below. Give your answers as whole numbers or decimals rounded to 1 decimal place.
The dimension of the box is 50in by 10in by 15in
How to calculate the volume of a figureThe volume of an object is the quantity of substance it contains.
The formula for calculating the volume of the box is expressed as:
V = lwh
where:
l is the lengthw is the widthh is the heightGiven the following parameters
length = 5w
height = w + 5
Substiute
7500 = 5w(w)(w+5)
7500 = 5w²(w+5)
1500 = w³+5w²
w³+5w² - 1500 = 0
Factorize to determine the width
On factorizing, the width of the box is 10 inches
Recall that:
l = 5w
l = 5(10)
l = 50inches
Get the height
h = w + 5
h = 10 + 5
h = 15inches
Hence the dimension of the box is 50in by 10in by 15in
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A cylinder and cone have the same height and radius. What is the volume of the cylinder if the volume of the cone is 45 cm^2
If two people answer, the one with the work shown gets Brainliest.
(I must have 2 people respond to give someone a Brainliest)
The volume of the cylinder with the same radius and height as the cone is: 135 cm³.
What is the Volume of a Cylinder?Volume of a cone is given as, V = 1/3πr²hVolume of a cylinder = πr²hRelating both volumes, we would have:
Volume of a cylinder = 3(volume of a cone), if they both have equal height and radius.
Given that a cone and a cylinder have the same radius (r) and the same height (h), and the cone has a volume of 45 cm³, therefore:
Volume of the Cylinder = 3(45)
Volume of the Cylinder = 135 cm³.
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write an inequality that means 2 times a number (d) plus 3 is less than or equal to 9.
Answer: 2d+3<=9
Step-by-step explanation:2 times a number is 2d plus 3 is +3 less than or equal to is <=
A triangle has one side of length 5 and another of length 9. Which of the following are possible lengths of the third side?
Answer:
Anything between 4 and 14
Step-by-step explanation:
When two lengths of a triangle are added together, they must be greater than the third side. Therefore the unknown length cannot be equal to or less than 4 nor equal to or greater than 14.
WILL GIVE BRAINLIEST
The Coriolis Effect shows us that when moving from the equator towards the poles, the air is __________.
Question 1 options:
moving faster than the ground below it.
standing still.
moving at the same speed.
moving slower than the ground below it.
Answer:
answer A
Step-by-step explanation:
Option C is correct, the Coriolis Effect shows us that when moving from the equator towards the poles, the air is moving at the same speed.
What is Speed?Speed is the time rate at which an object is moving along a path,
The Coriolis Effect causes moving objects, including air, to be deflected to the right in the Northern Hemisphere and to the left in the Southern Hemisphere.
As air moves from the equator towards the poles, it experiences a change in latitude, which causes it to be deflected.
This deflection results in the formation of high-pressure and low pressure systems that move weather patterns around the globe.
The speed of the air is affected by a number of factors, including temperature, pressure, and the Coriolis Effect.
However, the Coriolis Effect does not directly affect the speed of the air as it moves from the equator towards the poles.
Therefore, the Coriolis Effect shows us that when moving from the equator towards the poles, the air is moving at the same speed.
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Help!
1. In ceramics class, Robert made a cone with a radius of 2.5 inches and a height of 9 inches. What was the volume of the cone?
Use ≈3.14 and round your answer to the nearest whole number.
2. Later, Robert made a cylinder with the same radius and height as the cone. What is the volume of the cylinder?
Use ≈3.14 and round your answer to the nearest whole number.
3. Complete the sentence below that describes the relationship between the volumes of the cone and cylinder. Use a whole number.
The cone and cylinder have the same height and radius, so the volume of the cylinder is
____ times the volume of the cone.
The volume of the cone is 58.875 cubic inches. The volume of the cylinder is 176.625 cubic inches. The volume of the cylinder is three (3) times the volume of the cone.
What is the volume of a cone and cylinder?
The volume of a cone is equal to one-third (1/3) of the area of the circular base as well as the height product.
Mathematically, the volume of a cone can be expressed as:
[tex]\mathbf{V_{cone} = \pi r ^2 \dfrac{h}{3} }[/tex]
where;
radius = 2.5 inchesheight = 9 inches[tex]\mathbf{V_{cone} = 3.14 \times (2.5 ^2)\times \dfrac{9}{3} }[/tex]
[tex]\mathbf{V_{cone} = 3.14 (2.5 ^2)\times 3 }[/tex]
[tex]\mathbf{V_{cone} =58.875\ inches ^3}[/tex]
The volume of a cylinder implies the amount of quantity of material being carried in the cylinder. The volume of the cylinder can be expressed as:
V = πr²h
V = π(2.5)² × 9
V = 3.14 × (2.5)² × 9
V = 176.625 inches³
The volume of the cylinder is three times the volume of the cone because:
[tex]\mathbf{=\dfrac{176.625 \ in^3}{ 58.875\ in^3}}[/tex]
= 3
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Find the equation of the line that
is perpendicular to y = 4x + 5 and
contains the point (8,-4).
The equation of the line that is perpendicular to y = 4x + 5, in slope-intercept form is: y = -1/4x - 2.
What is the Equation of Perpendicular Lines?Lines that are perpendicular to each other have slope that are negative reciprocal to each other.
Slope of y = 4x + 5 is 4.
Negative reciprocal of 4 is -1/4.
Substitute m = -1/4 and (a, b) = (8, -4) into y - b = m(x - a):
y - (-4) = -1/4(x - 8)
y + 4 = -1/4x + 2
y = -1/4x + 2 - 4
y = -1/4x - 2
Equation of the perpendicular line is: y = -1/4x - 2.
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The apothem of a regular hexagon measures 8 cm. a regular hexagon has an apothem with a length of 8 centimeters. which are true of the regular hexagon? check all that apply. the perimeter of the hexagon is 48 cm. the measure of the angle formed by the radius and the apothem is 30°. the side length of the hexagon is about 4.6 cm. in a regular hexagon, the radius and side length are equal in length. the area of the hexagon is about 221.7 square cm.
The angle made by the apothem and the radius is 30 degrees. Then the correct option is B.
What is a polygon?The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.
The apothem of a regular hexagon measures 8 cm.
Then the side length of the hexagon will be
[tex]\rm x = \dfrac{8}{\sin 60^o}= 9.24\ cm[/tex]
The perimeter of the hexagon will be
Perimeter = 6 × 9.24 = 55.43 cm
The area of the hexagon will be
Area = 0.5 × 8 × 9.24 = 36.95 cm².
The angle made by the apothem and the radius is 30 degrees.
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Answer:
2, 4, & 5
Step-by-step explanation:
I did it
A synthetic diamond has a density of 3.5 grams per cubic centimeter and a mass of 6.3 grams. What is it's volume?
Answer: 1.8 cubic cm
Step-by-step explanation:
HELP ASAP * 70 POINTS*
area of triangular prism:
( perimeter x length ) + base x height[tex]\dashrightarrow \sf (4+3+5) \ x \ 7 \ + 3 \ x \ 4[/tex]
[tex]\dashrightarrow \sf 96 \ ft^2[/tex]
Answer:
Step-by-step explanation:
A = 7 ft
B = 5 ft
C = 3 ft (base of the triangle)
D = 4 ft (height of the triangle)
Surface area of prism = base *height + ( B + C + D)*A
= 4*3 + (5 + 3 + 4) * 7
= 12 + 12 *7
= 12 + 84
= 96 square ft.
If the half-life of carbon-14 is 5730 years, how old is a mummy having only 30% of the normal amount of carbon-14?
Answer:
17190 years.
Step-by-step explanation:
The half-life of carbon-14 is
5730 years.
Therefore, after1 half-life there is 50%=12 of the original amount left.2half-lives there is 25%=14of the original amount left.3 half-lives there is 12.5%=18 of the original amount left.
1−78=18
So, your answer would be the time it takes for carbon-14 to elapse 3 half-lives.
5730⋅3=17190
1/2+3/4+4/5 how to solve it please help me i'm waiting
Answer:
41/20
Step-by-step explanation:
or 2 1/20
Frank, Steven, and Daniel share 4 pizzas equally. How much pizza will they each get?? please explain in division expression and fraction work if you want and the sentence PLSPLSPLSPLSPLSPLSPLSPLSPLSPSLSLS
Answer: They both will get 2 pizzas
Step-by-step explanation: 4 divided by 2
What does volume measure?
a
the total distance around a figure
b
the average of the sum of all items
c
the exposed surface of a solid shape
d
the amount of space occupied by an object (its capacity)
Answer: d - the amount of space occupied by an object (its capacity)
Explanation:
[a] The total distance around a figure is the perimeter, this does not answer our question.
[b] The average of the sum of all items is the mean, this does not answer our question.
[c] The exposed surface of a solid shape is the object's surface area, this does not answer our question
[d] The amount of space occupied by an object is the object's volume, so this does answer our question.