Answer:
14.95
Step-by-step explanation:
Use a median calculator
Final answer:
To find the number in the middle of 8.6 and 21.3, you calculate their average by adding them together and dividing by two, resulting in 14.95.
Explanation:
To calculate the number in the middle of 8.6 and 21.3, we need to find the average of these two numbers. To do this, you add the two numbers together and then divide by two.
The calculation is therefore: (8.6 + 21.3) / 2.
Adding 8.6 and 21.3 gives us 29.9, and dividing 29.9 by 2 gives us 14.95. So, 14.95 is the number in the middle of 8.6 and 21.3.
if f(x)+5x-4/2 find f(10)
Answer:
f(x) = 48
Step-by-step explanation:
If you substitute 10 for x, you get:
5*10-4/2
Simplify:
50-2
f(x) = 48
If 3/4 pound of broccoli is priced at $2.09 per pound, what is the price?
Answer:
$1.57
Step-by-step explanation:
2.09 × 3/4 = 1.5675, rounded to 1.57
Answer:
I believe the answer is $1.57 about. The answer is longer but that is rounded.
Step-by-step explanation:
I just did 3/4 times 2.09 and got 1.57 because if a whole pound is 2.09 then 3/4 times the whole pound would give you 3/4 of the price.
Help please thank you
Answer:
a^-7
Step-by-step explanation:
you would subtract the powers
-13 - -6 = -7
Answer:
1/a^19 (1 over a to the 19th power)
Step-by-step explanation:
when you divide, you subtract the exponents. -13 minus -6 is -19. when its a negative, you put it positive over 1. hope this helps :)
work:
a^-13/a^-6= a^-19
a^-19 --> 1/a^19
*****this is wrong, answer is 1/a^7
the volume of an ice cream cone is 12 pi cubic cm. if the height is 9 cm, what is the diameter of the cone ?
The diameter of the cone is 4√3 cm, which is approximately 6.93 cm when rounded to two decimal places.
Explanation:To find the diameter of the cone, we first need to identify the formula for the volume of a cone, which is V = (1/3)πr^2h. Given that the volume (V) of the ice cream cone is 12π cubic cm and the height (h) is 9 cm, we can set up the equation to solve for the radius (r):
12π = (1/3)πr^2(9)
We can simplify this equation by dividing both sides by π and multiplying both sides by 3/9 (which is the reciprocal of 1/3 times 9):
12 = r^2
Therefore, r = √12 cm. To find the diameter, which is twice the radius, we calculate:
Diameter = 2r = 2(√12) cm = 2(√4√3) cm = 4√3 cm
The diameter of the cone is 4√3 cm or approximately 6.93 cm when rounded to two decimal places.
Please Help!!!
Using a video camera positioned on a table, Kat records her hanging flower basket to find out what is eating the blooms. The camera is positioned so that the line of sight to the basket forms a 25° angle of elevation. The camera sits 42 inches above the ground and the base of the table is 72 inches from the base of the rod the flower basket hangs on. To the nearest tenth of an inch, how high above the ground is the flower basket?
Edit: I got the answer it's 75.5
Answer:
75.5
Step-by-step explanation:
The correct height of the flower basket above the ground is 75.5 inches.
To determine the height of the flower basket above the ground, we can use trigonometry. The camera forms a 25 ° angle of elevation with the flower basket, and the distance from the camera to the base of the rod is given as 72 inches. We also know that the camera is positioned 42 inches above the ground.
We can use the tangent function, which relates the angle of elevation to the opposite side (the height of the flower basket above the camera's height) and the adjacent side (the horizontal distance from the camera to the rod).
Let's denote the total height of the flower basket above the ground as h, and the height of the camera above the ground as [tex]h_c[/tex] = 42 inches. The height of the flower basket above the camera is then [tex]\( h - h_c \)[/tex].
Using the tangent function:
[tex]\tan(25\°) = \frac{\text{opposite}}{\text{adjacent}}[/tex]
[tex]= \frac{h - h_c}{72}[/tex]
We can solve for h:
[tex]\[ h - h_c = 72 \times \tan(25\°) \][/tex]
[tex]\[ h = 72 \times \tan(25\°) + h_c \][/tex]
Now we calculate the value of tan(25°) and substitute the known values:
[tex]\[ h = 72 \times \tan(25\°) + 42 \][/tex]
Using a calculator, we find that 25° is approximately 0.4663. Plugging this value into the equation gives us:
h = 72 x 0.4663 + 42
h = 33.5 + 42
h = 75.5
Therefore, the flower basket is approximately 75.5 inches above the ground.
Calculate the reciprocal of -0.07,correct to one decimal place
The reciprocal of the given decimal number -0.07 is decimal number -14.3.
The given decimal number is -0.07.
The reciprocal of any quantity is, one divided by that quantity. For any number ‘a’, the reciprocal will be [tex]\frac{1}{a}[/tex]. If the given number is multiplied by its reciprocal, we get the value 1.
The given decimal written in fraction as [tex]-\frac{7}{100}[/tex].
Reciprocal of [tex]-\frac{7}{100}[/tex] is [tex]-\frac{100}{7}[/tex]
[tex]-\frac{100}{7}=-14.285[/tex]
[tex]\approx-14.3[/tex]
Therefore, the reciprocal of the given decimal number -0.07 is decimal number -14.3.
Learn more about the reciprocal property here:
https://brainly.com/question/895941.
#SPJ3
Final answer:
The reciprocal of -0.07, when rounded to one decimal place, is -14.3.
Explanation:
To calculate the reciprocal of any number, you simply divide 1 by that number.
The reciprocal of a number is the multiplicative inverse of that number.
In this case, for the number -0.07:
The reciprocal of -0.07 is calculated as follows:
Divide 1 by -0.07:
1/-0.07
= -100/7
= - 14.2857 which equals approximately -14.2857.
To round the result to one decimal place, we consider the first decimal digit after the point, which is 2. Since 2 is less than 5, we don't round up the preceding digit.
Round this number to one decimal place, giving us -14.3.
Therefore, the reciprocal of -0.07, correct to one decimal place, is -14.3.
There is an 8% tax in the town where the store is located. What is miguel’s total cost after sales tax has been added?
Final answer:
To determine Miguel's total cost including the 8% sales tax, add the pre-tax total of $20.98 to the sales tax amount, which is calculated as $20.98 multiplied by 0.08, totaling $22.66.
Explanation:
To calculate Miguel’s total cost including an 8% sales tax on his purchases, follow these steps:
First, find the total cost before tax by adding the prices of the items. If Miguel bought items totaling $20.98, this is the pre-tax total.
Next, convert the tax percentage to a decimal form. For an 8% sales tax, this is done by dividing by 100, which gives us 0.08.
Then, calculate the amount of sales tax by multiplying the pre-tax total by the decimal tax rate: $20.98 × 0.08 = $1.6784.
Round the sales tax to the nearest cent, which gives us $1.68.
Finally, add the sales tax to the pre-tax total to find the total cost: $20.98 + $1.68 = $22.66.
The total cost for Miguel after adding the 8% sales tax is $22.66.
Simplify the following expression(1/5)(-5/7)(2/4)
Answer:
-1/14
Step-by-step explanation:
To simplify the expression, you should first divide up the parts to make it easier. Multiply 1/5 by -5/7 first. When you multiply the two fractions, the fives cancel out since there is a five in both the numerator and the denominator. This leaves us with just -1/7.
[tex]\frac{1}{5} *\frac{-5}{7} =\frac{-1}{7}[/tex]
Now, multiply -1/7 by 2/4. Notice that you can simplify 2/4 to 1/2. You can't cancel out anything in this expression so simply multiply the two fractions.
[tex]\frac{-1}{7} *\frac{1}{2} =-\frac{1}{14}[/tex]
I moved the negative sign from the numerator out front, but you don't have to do that.
Square root of -3
find the square root of -3
Answer:
i times the square root of 3
Step-by-step explanation:
Whenever you take a square root of a number, look for anything that you could take out! Like if you have the square root of 40, that’s 4 * 10, so you could take out a 2 from the square root and leave the 10.
In this, we see that it’s the square root of 3 times the square root of -1, which we can simplify to the square root of 3 times “i.” We use i to represent the square root of -1.
In the expression shown below, q represents a fraction
6q
Which statement is true?
A. if q is 2/3, the value of the expression will equal a number less than 6
B. if q is 2/3, the value of the expression will equal a number greater than 6
C. if q is 3/2, the value of the expression will equal a number less than 6
D. if q is 3/3, the value of the expression will equal a number greater than 6
i really really need help with this question really fast please help!!!!!!!
Answer:
A
Step-by-step explanation:
Multiply 6 by 2/3 =4... Less than 6
Answer:
a is correct
Step-by-step explanation:
hope it help
Is the square root of 72 rational or irrational? Explain.
Answer:
No, it is not rational.
Step-by-step explanation:
A rational number is a number that can be in the form p/q. where p and q are integers and q is not equal to zero.
Please help me it’s on functions
Answer:
A
Step-by-step explanation:
In mathematics, a function is a relation between sets that associates to every element of a first set exactly one element of the second set. Typical examples are functions from integers to integers or from the real numbers to real numbers.
Drag a vertex of the triangle to change its shape double click or double tap a vertex or side to prevent it from changing
Answer:
if its select all that apply then its B,C,E
Step-by-step explanation:
There are different types of triangle and they include:
Equilateral TriangleScalene TriangleIsosceles Triangle, etcWhat is a Triangle?This refers to a plane figure with three vertices with three straight sides and creates an angle.
Please note that your question is incomplete so I gave you a general overview to give you a better understanding of the concept.
Read more about triangles here:
https://brainly.com/question/11899908
A bale of hay in the shape of a rectangular prism has a length of 4 feet, a width of 2 feet, and a height of 2 feet. A cylindrical bale of hay has a diameter of 4 feet and a height of 6 feet. How many rectangular bales contain the same amount of hay as one cylindrical bale? Round your answer to the nearest tenth.
Answer:
2
Step-by-step explanation:
Answer:
About 4.7
Step-by-step explanation:
First Find the volume of the cylindrical bale.
V= π(r)^2*6
V=π(2)^2*6
V=π*4*6
V=π24
The answer is about 75.4
Now find the volume of the Rectangular Prism
V= w*h*l
V= 2*2*4
The answer is 16
Finally divide 75.4÷16 Which to the nearest tenth is 4.7.
p.s please correct me if I am wrong.
I don’t even know where to start
Composite figures
Find the volume
Answer:
10488
Step-by-step explanation:
fist find the volume of the triangle prism and regtangle prism
21*23*16/2 (triangular prism) plus 18*23*16 (regtangular prism)
4(2x - 5) = 5x -20 +3x
Answer:
All real numbers
Step-by-step explanation:
Distribute the 4 on the left side
4(2x-5)=5x-20+3x
8x-20=5x-20+3x
Combine like terms on the right side
8x-20=8x-20
All real numbers are solutions, because both sides are equal
Hope this helps! :)
A triangle has sides of length 7, 10, and s. Write an equation representing the perimeter p of the triangle
Answer:
7(2+10)
14+10
=26 is the perimeter
S=7
Hope this helped
Step-by-step explanation:
Answer:
P=7+10+s
The perimeter is the length of all sides, so add 7, 10, and s to get p!
Hope this comes to help someone!
markup = percent markup x cost
markdown = percent markdown x original price
Andie bought a tablet computer whose original price was $149. It was marked down 35%.
What was the sale price of the computer?
The amount of money A, accrued at the end of n years when a certain amount, P is invested at a compound annual rate, r, is given by A=P(1+r)n. If a person invests $150 in a account that pays 10% interest compounded annually, find the balance after 5 years .
Answer:
$241.58
Step-by-step explanation:
he amount of money A, accrued at the end of n years when a certain amount, P is invested at a compound annual rate, r, is given by:
[tex]A=P(1+r)^n[/tex]
From the given information:
P =$150
r=10%=0.1
n= 5 years
Therefore the balance after 5 years is:
[tex]A=P(1+r)^n\\=150(1+0.1)^5\\=150*1.1^5\\=\$241.58[/tex]
The balance of the account after 5 years, with an initial investment of $150 and an annual interest rate of 10%, compunded annually, would be approximately $241.58.
Explanation:To find the balance of the investment after 5 years, we substitute the values into the given formula. P is the principal amount which is $150, r is the annual interest rate which is 10% or 0.10 in decimal form, and n is the number of years which is 5. So the formula becomes A = $150 * (1 + 0.10)^5.
To simplify, calculate 1 + 0.10 to get 1.1. Then raise 1.1 to the power of 5 to get 1.61051. Multiply that by $150 to get approximately $241.58. So, the balance of the investment after 5 years would be approximately $241.58.
Learn more about Compound Interest here:https://brainly.com/question/34614903
#SPJ3
WILL MARK U AS BRAINLIEST PLZ HELP
Answer:
112 if you don't include the triangle sides as they are not necessary, but 124 if you include one triangle and 136 if you include both triangle sides
Solve each of the following for x:
a. 10x-18=22
b. 1/2x+50=-5
c. 5(x+4)=100
Answer:
A) 4
B)-110
C) 16
Step-by-step explanation:
If you need to know how to solve it I'm here to help!
:)
Snsnnesnsnsnsmsmzmzmzmzzksskss
Answer:
nice
Step-by-step explanation:
mhm thats very nicee
Andrew draws triangle ABC. He then constructs a perpendicular bisector from vertex A that intersects side BC at point D. What can Andrew conclude, based on his drawing?
AB = BC
BD = DC
AD = BC
AC = BC
Answer:
BD = DCStep-by-step explanation:
A perpendicular bisector is a line segment that goes form a vertex to its opposite side. The important characteristic is that a perpendicular bisector intersects the opposide at the mid point and with a right angle, that's why is called perpendicular and bisector.
So, Andrew can conclude that side BC is divide equally, that is, BD = DC.
Therefore, the right answer is the second choice.
Based on the given information after drawing the triangle Andrew can conclude only BD = DC.
Use the concept of triangle defined as:
A triangle is a three-sided polygon, which has three vertices and three angles which has a sum of 180 degrees.
Given that,
Andrew draws triangle ABC.
He constructs a perpendicular bisector from vertex A.
The perpendicular bisector intersects side BC at point D.
Based on Andrew's drawing,
He can conclude that BD is equal to DC.
The perpendicular bisector from vertex A divides side BC into two equal parts, making BD and DC congruent.
However, Andrew cannot conclude that AB is equal to BC,
AD is equal to BC, or AC is equal to BC based on the given information.
Hence,
For this triangle Andrew can conclude only BD = DC.
Learn more about the triangle visit;
brainly.com/question/1058720
#SPJ3
Find the volume of a solid generated by revolving the region bounded by the graphs of the equations about the y-axis. Y= 4(3-x), Y= 0, and X= 0.
Answer:
[tex]\displaystyle V = 36 \pi[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
GraphingCoordinates (x, y)FunctionsFunction NotationIntersection PointsExpand by FOILCalculus
Integrals
Area under the curveIntegration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Rule [Fundamental Theorem of Calculus 1]: [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Integration Property [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
Volume of Revolution Formula [y-axis]: [tex]\displaystyle V = \pi \int\limits^b_a {r^2} \, dy[/tex]
Step-by-step explanation:
Step 1: Define
Identify
y = 4(3 - x)
y = 0
x = 0
Step 2: Redefine
Rewrite (Revolving around y-axis)
[Division Property of Equality] Divide 4 on both sides: [tex]\displaystyle \frac{y}{4} = 3 - x[/tex][Subtraction Property of Equality] Subtract 3 on both sides: [tex]\displaystyle \frac{y}{4} - 3 = -x[/tex][Division Property of Equality] Divide -1 on both sides: [tex]\displaystyle 3 - \frac{y}{4} = x[/tex]Rewrite: [tex]\displaystyle x = 3 - \frac{y}{4}[/tex]Step 2: Find Bounds of Integration
See attachment
Look at y-values, right to left.
Bounds: [0, 12]
Step 3: Find Volume
Substitute in variables [Volume of Revolution Formula]: [tex]\displaystyle V = \pi \int\limits^{12}_0 {(3 - \frac{y}{4})^2} \, dy[/tex][Integrand] Expand [FOIL]: [tex]\displaystyle V = \pi \int\limits^{12}_0 {(\frac{y^2}{16} - \frac{3y}{2} + 9)} \, dy[/tex][Integral] Rewrite [Integration Property - Addition/Subtraction]: [tex]\displaystyle V = \pi \bigg[ \int\limits^{12}_0 {\frac{y^2}{16}} \, dy - \int\limits^{12}_0 {\frac{3y}{2}} \, dy + \int\limits^{12}_0 {9} \, dy \bigg][/tex][Integrals] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle V = \pi \bigg[ \frac{1}{16} \int\limits^{12}_0 {y^2} \, dy - \frac{3}{2} \int\limits^{12}_0 {y} \, dy + 9 \int\limits^{12}_0 {} \, dy \bigg][/tex][Integrals] Integrate [Integration Rule - Reverse Power Rule]: [tex]\displaystyle V = \pi \bigg[ \frac{1}{16}(\frac{y^3}{3}) \bigg| \limits^{12}_0 - \frac{3}{2}(\frac{y^2}{2}) \bigg| \limits^{12}_0 + 9(y) \bigg| \limits^{12}_0 \bigg][/tex][Integrals] Evaluate [Integration Rule - FTC 1]: [tex]\displaystyle V = \pi \bigg[ \frac{1}{16}(576) - \frac{3}{2}(72) + 9(12) \bigg][/tex][Brackets] Multiply: [tex]\displaystyle V = \pi [36 - 108 + 108][/tex][Brackets] Add: [tex]\displaystyle V = \pi [36][/tex]Multiply: [tex]\displaystyle V = 36 \pi[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Applications of Integration
Book: College Calculus 10e
Write an equation of the line that passes through point (-1, 5) and has the slope
m = 4.
Answer: 4x - y + 9 = 0
Step-by-step explanation:
6 divided by 2 ( 1+2=)=
Answer:
9
Step-by-step explanation:
6 divided by 2 equals 3 (1 plus 2 ) equals 3, 3 times 3 equal 9
Which set of measurements forms a right triangle? Use the Pythagorean theorem: a2 + b2 = c2.
A) 15, 20, 25
B) 15, 21, 26
C) 14, 20, 25
D) 14, 21, 25
Answer:
A. 15, 20, 25.
Step-by-step explanation:
25^2 = 625
20^2 = 400
15^2 = 225.
Now 625 = 400 + 225 = 625 so it is choice A.
An element with a mass of 550 grams decays by 18.8% per minute. To the nearest minute, how long will it be until there are 60 grams of the element remaining
Answer: 11
Step-by-step explanation:
Exponential Functions:
y=ab^x
y=ab
x
a=\text{starting value = }550
a=starting value = 550
r=\text{rate = }18.8\% = 0.188
r=rate = 18.8%=0.188
\text{Exponential Decay:}
Exponential Decay:
b=1-r=1-0.188=0.812
b=1−r=1−0.188=0.812
\text{Write Exponential Function:}
Write Exponential Function:
y=550(0.812)^x
y=550(0.812)
x
Put it all together
\text{Plug in y-value:}
Plug in y-value:
60=550(0.812)^x
60=550(0.812)
x
\frac{60}{550}=\frac{550(0.812)^x}{550}
550
60
=
550
550(0.812)
x
Divide both sides by 550
0.109091=0.812^x
0.109091=0.812
x
\log 0.109091=\log 0.812^x
log0.109091=log0.812
x
Take the log of both sides
\log 0.109091=x\log 0.812
log0.109091=xlog0.812
use power rule to bring x to the front
\frac{\log 0.109091}{\log 0.812}=\frac{x\log 0.812}{\log 0.812}
log0.812
log0.109091
=
log0.812
xlog0.812
Divide both sides by log(0.812)
10.638757=x
10.638757=x
x\approx 11
x≈11
Answer:
x\approx 11
x≈11
Given the function, f(x)= square root 3x+3+3, choose the correct transformation(s).
Answer: horizontal stretch, left 3,up 3
Step-by-step explanation: you guys are welcome! And be blessed
True or False
A proportional relationship is non- linear.
Answer:
False - Linear is a proportional relationship as it is a straight line.
False.
False. A proportional relationship is linear. In a proportional relationship, when one variable increases or decreases, the other variable also increases or decreases at a constant rate. This results in a straight-line graph passing through the origin (0,0). In contrast, a non-linear relationship does not exhibit constant rate of change and does not form a straight line when graphed.
Complete correct question:
True or False
A proportional relationship is non- linear.