A triangle (Option B)
If you cut it perpendicular to its base and through its vertex, the cross-section would be shaped like an isosceles triangle. The base of the triangle will be the base of the cone. The cone would create a circle shape if the plane sliced it parallel to its base
For what value of n does startfraction 216 superscript n minus 2 baseline over (startfraction 1 over 36 endfraction superscript 3 n?
They are written in term of power to the base of a function. The value of n that will make both expression equal is 2/9
Exponential expressionThey are written in term of power to the base of a function. Given the expression below:
[tex]216^{n-2}=\frac{1}{36}^{3n}[/tex]
This can be further simplified as:
[tex]6^3^{n-2}=(6^{-2})^{3n}\\6^{3n-2}=6^{-6n}[/tex]
Cancel the base to have:
3n-2 = -6n
3n+6n = 2
9n = 2
n = 2/9
Hence the value of n that will make both expression equal is 2/9
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A box contains 20 uckets mmbered from 1 to 20 tetor de candowm. find the probability it is divisible by 3 and 4
Answer:
that 2 out of 20 ratio you have 18 to 1 odds of getting these
1
maining:
out of
question
Is it a Function?
Instructions: Determine whether the following relationship is a function.
You're headed to the bank with two friends to exchange your American dollars for the South
African currency rand, for an upcoming trip to South Africa. You and one friend both plan to
exchange $100. If you go first and then your friend goes right after you, think about what you
would expect about the amount of rand you both get back. Does the relationship between dollars
turned in and rand received represent a function?
Is it a function? No
Check
The relationship between dollars delivered and rand received represents a function.
What is a function?Corresponds to a mathematical relationship between two variables, x and y, where the set of x values is associated with a y value. Being expressed by the formula:
y = f(x)Therefore, in the exchange rate question, x is the independent variable, that is, the value of $100, and y will correspond to the dependent variable, which is the value of rand that will be received in relation to the dollar.
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Which of the following statements best describes the lines?
The volume of a sphere is 9,198.m3 To the nearest ,meter what is the radius of the sphere? Use 3.14 for .pi
Using the given information, the radius of the sphere to the nearest meter is 13m
Calculating Volume of a sphereFrom the question, we are to determine the radius of the sphere
Using the formula for calculating the volume of a sphere,
[tex]V = \frac{4}{3} \pi r^{3}[/tex]
Where V is the volume
and r is the radius
From the given information,
V = 9198 m³
Then,
[tex]9198 = \frac{4}{3} \times \pi r^{3}[/tex]
[tex]9198 = \frac{4}{3} \times 3.14 \times r^{3}[/tex]
[tex]4 \times 3.14 \times r^{3} = 9198 \times 3[/tex]
[tex]4 \times 3.14 \times r^{3} = 27594[/tex]
[tex]r^{3} = \frac{27594}{4 \times 3.14}[/tex]
[tex]r = \sqrt[3]{\frac{27594}{4\times 3.14} }[/tex]
r = 12.99995 m
r ≅ 13 m
Hence, the radius of the sphere to the nearest meter is 13m.
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PLEASE HELP ASAP, WOULD APPRECIATE IF YOU SHOWED STEPS
Answer:
abbbcab(a) [tex]7^{4}[/tex] (b) [tex](\frac{4}{9}) ^{17}[/tex] (c) [tex]4^{-4}[/tex] (d) [tex]8^{-3}[/tex]Step-by-step explanation:
1. The moment he started: 3 bacteria
1st hour: 3*2 bacteria = 3*[tex]2^{1}[/tex] bacteria
2nd hour: 3*2*2 bacteria = 3*[tex]2^{2}[/tex] bacteria
3rd hour: 3*2*2*2 bacteria = 3*[tex]2^{3}[/tex] bacteria
etc.
Each hour the number of bacteria multiplies by 2 (the power of 2 is increased by 1), therefore, [tex]B=3*(2)^{n}[/tex]
2. Exponential function has the form of [tex]f(x)=ab^{x}[/tex]
if a is greater than 0 and b is greater than 1, then it's exponential growth.
The answer is:
[tex]y=4^{x}[/tex] (4 > 1)
3. If smth increases by 2.5% each time, that means that at first you had 100% and then it became 100%+2.5% = 102.5%. So each time we multiply the value by 1.025 (100*1.025=102.5).
4. Linear equation form: [tex]y=ax+b[/tex]
Quadratic equation form: [tex]y=ax^{2} + bx + c[/tex]
Exponential equation form: [tex]y=ab^{x}[/tex]
In this case, a = 3.8, b = -5.5, c = -4.8
5. (a) square root
(b) linear
(c) exponential
(d) quadratic
6. Each year the car's worth is multiplied by 0.82 (82%). Therefore, after n years, the value will be: V = 27 500 * [tex]0.82^{n}[/tex]
7. Neither first, nor second differences are constant in case of an exponential relation, because we do not add but multiply.
Ex. [tex]y=2^{x}[/tex]
values: 1 2 4 8 16 32...
1st diff: 1 2 4 8 16...
2nd diff: 1 2 4 8...
8. (a) [tex]7^{11} / 7^{7} = 7^{11-7} = 7^{4}[/tex]
(b) [tex](\frac{4}{9})^{12} *(\frac{4}{9})^{5} =(\frac{4}{9} )^{12+5}=(\frac{4}{9})^{17}[/tex]
(c) [tex]4^{11} / (4^{5})^{3} =4^{11} / 4^{5*3}=4^{11} /4^{15}=4^{11-15}=4^{-4}[/tex]
(d) [tex]8^{-6}*8^{3}=8^{-6+3}=8^{-3}[/tex]
What is the area of the composite figure?
500
490.62
245.31
745.31
Answer:
745.31
Step-by-step explanation:
20x25=500
(2(12.5)pie)/2=245.435
245.435+500=745.31
Find the zeros of the function.
y = (x + 1)(x − 3)(x - 6)
Help...
25 pts and will give BRAINLIEST!
Answer:
hope u understand...........
If 6 hotdogs cost $ 18, then what is the cost for each hotdog
Answer:
each hot dog costs $3
Step-by-step explanation:
$18÷6 hotdogs=$3 or $3×6 hotdogs=$18
Which function could be represented by the graph on the coordinate plane? f(x) = (x – 8)2 6 f(x) = (x 8)2 6 f(x) = (x 8)2 – 6 f(x) = (x – 8)2 – 6
Considering it's vertex, the quadratic equation that could be represented on the plane is given as follows:
f(x) = (x - 8)² - 6.
What is the equation of a parabola given it’s vertex?The equation of a quadratic function, of vertex (h,k), is given by:
y = a(x - h)² + k
In which a is the leading coefficient.
Researching the problem on the internet, it is found that the given graph has vertex at (8,-6), hence h = 8, k = -6 and considering a = 1 the equation is given as follows:
f(x) = (x - 8)² - 6.
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What is the slope of the line that passes through the points (-9,-5) and
(-1,-9)? Write your answer in simplest form.
Answer:
slope= (y2-y1)/x2-x1
Step-by-step explanation:
(-5-(-9))/(-9-(-1))
=-1/2
[tex]\large{\underline{\underline{\pmb{\sf{\color{yellow}{Answer:}}}}}}[/tex]
-1/2
Step-by-step explanation:
To findSlope
Given[tex] \sf let \: ( - 9, - 5) = (x_1,y_1) \\ \\ \sf ( - 1, - 9) = (x_2,y_2)[/tex]
Solution[tex] \sf Slope(m) = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Substituting the values
[tex] \sf \implies m = \frac{ - 9 - ( - 5)}{ - 1 - ( - 9)} \\ \\ \\ \sf \implies m = \frac{ - 9 + 5}{ - 1 + 9} \\ \\ \\ \sf \implies m = \frac{ - 4}{8} \\ \\ \\ \sf \implies m = - \frac{1}{2} [/tex]
Sela is making 400 scones.
she use butter ,sugar and flour in the ratio 2:1:9
here the cost of those ingredients
butter-2.50 per 500g
sugar-1.60 per kilogram
flour-60p per 1.5kg
the total mass of the butter ,sugar and flour in each scone is 30g
work out the total cost of these ingredients for the 400
scones
Answer:
£15.20
Step-by-step explanation:
butter : sugar : flour = 2 : 1 : 9
Total mass for 1 recipe = 30 g
2 + 1 + 9 = 12
12x = 30
x = 30/12
x = 2.5
For 1 scone:
butter = 2x = 2(2.5) g = 5 g
sugar = x = 2.5 g
flour = 9x = 9(2.5) g = 22.5 g
Cost for 1 scone:
butter: 5 g × £2.50/(500 g) = £0.025
sugar: 2.5 g × £1.60/(1000 g) = £0.004
flour: 22.5 g × £0.6/(1500 g) = £0.009
Cost for 1 recipe = £0.025 + £0.004 + £0.009 = £0.038
Cost for 400 scones = 400 × £0.038 = £15.20
Answer: £15.20
Is 23/√3 a rational number? Again is 23 over root 3 a rational or irrational number.
Answer: irrational number
Step-by-step explanation:
Let us write it out.
[tex]\displaystyle \frac{23}{\sqrt{3} }[/tex]
Next, we will define ratoinal and irrational.
A rational number is a number that can be written as a whole number, fraction, or decimal that ends / repeats.
An irrational number is any number that cannot be turned into a fraction.
Let us see which category the number given falls into.
[tex]\displaystyle \frac{23}{\sqrt{3} } = 13.27905619\;\;\;\;\;\;\text {it goes on...}[/tex]
This means [tex]\frac{23}{\sqrt{3} }[/tex] is an irrational number.
Sally has just finished her thirty-fifth year with her company and is getting ready to retire. during her thirty-five years, sally’s average annual salary was $45,603. how much can sally expect to receive from social security annually if she were to retire today? (assume she will receive 42% of her average annual salary.) a. $191.53 b. $1,915.33 c. $19,153.26 d. $191,532.60
Using proportions, the amount that Sally can expect to receive from social security annually is given by:
c. $19,153.26.
What is a proportion?A proportion is a fraction of a total amount, and this fraction can also represent a percentage of the total amount.
She is expected to receive 42% of her average annual salary of $45,603, hence, considering 0.42 is equivalent to 42%:
A = 0.42 x 45603 = $19,153.26.
Which means that option C is correct.
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In American football, a touchdown scores 7 points, a field goal scores 3 points, and a safety scores 2 points. If a team scored a total of 24 points, how many combinations of plays is possible
The number of combinations of plays that is possible will be 2.
How to calculate the combination?Let the number of combinations be represented by x.
From the information given, we are informed that the touchdown scores 7 points, a field goal scores 3 points, and a safety scores 2 points.
Therefore, this will be:
7x + 3x + 2x = 24
12x = 24
x = 24/12
x = 2
Therefore, there are 2 combinations.
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121. How much sand is needed to fill a sandbox
8 feet by 6 feet to a depth of 18 inches?
A. 64 cu
B. 62 cu ft.
C. 74 cu ft.
D. 72 cu ft.
E. 68 cu ft.
Answer: The answer is D. 72 cu ft.
Step-by-step explanation:
What expression is equivalent to 7/12
Answer:
14/24 is one expression equivalent to 7/12.
Answer:
14/24,21/36,28/48,35/60,42/72,49/84,56/96 are equivalent to 7/12...
Please help!! Last question!
Midpoint, as the word suggests, means the point which lies in the middle of something. The correct option is A.
What does a midpoint mean?Midpoint, as the word suggests, means the point which lies in the middle of something. The midpoint of a line segment means a point which lies in the mid of the given line segment.
There is no flaw in the steps. Hence, the correct option is A.
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A class made a line plot of the weight of each science book in pounds. a line plot. short description, a line plot. ,long description,
the line plot is entitled weight of science books in pounds. it goes from 2 pounds to 3 pounds with marks at some numbers:
one mark is at two and one eighth. two marks are at two and one fourth. one mark is at two and three eighths. two marks are at two and one half. three marks are at two and three fourths. one mark is at two and seven eighths. question
sonya carried ,begin emphasis,all,end emphasis, the books weighing 2 and one-fourth pounds and 2 and three-eighths pounds to the library. how many pounds of books did sonya carry?
The total pounds of science books that sanya carried is; 6⁷/₈ pounds
How to Interpret Line Plots?
From the attached Line Plot, we can see the book weights.
Now, we are told that Sanya carried all the books weighing 2¹/₄ pounds and 2³/₈ pounds.
From the line plot we see that;
Number of books weighing 2¹/₄ pounds are 2 books
Number of books weighing 2³/₈ pounds is 1 book
Thus;
Total weight of books carried by Sanya = 2(2¹/₄) + 1(2³/₈)
Total weight = 4¹/₂ + 2³/₈
Total Weight = 6⁷/₈ pounds
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Six hundred thirty-one and fifthy eight thousandths in standard form
The number in standard form is 632.058
How to represent the number in standard form?The number is given as:
Six hundred thirty-one and fifty-eight thousandths
This means:
Six hundred thirty-one + fifty-eight thousandths
Express Six hundred thirty-one as 631
632 + fifty-eight thousandths
Express fifty-eight thousandths as 58/1000
632 + 58/1000
Express as decimal
632 + 0.058
Evaluate the sum
632.058
Hence, the number in standard form is 632.058
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41
The table shows a bacterial population y after a days.
Day, x
0 1
2
3
4
Population, y 5 35 245 1715 12,005
a. Write an exponential function that represents the population.
y=|lx|
b. Find the population after 5 days.
There are
bacteria after 5 days.
An exponential function that represents the population is y = 5 (7)ˣ. And the population after 5 days will be 84035.
What is an exponent?The exponent denotes that the base will rise to a specific level of strength. The base is X, and the power is n.
The table is shown.
The exponential equation is given as
y = abˣ
Then at x = 1, y will be 35. Then we have
35 = ab ...1
Then at x = 2, y will be 245. Then we have
245 = ab² ...2
On solving equations 1 and 2. Then we have
a = 5 and b = 7
Then the exponential function will be
y = 5 (7)ˣ
Then the population after 5 days will be
y = 5 (7)⁵
y = 5 x 16807
y = 84035
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No 1 a b c d
PLS fast
a) a= 2×40 = 160°
b) b = 60/2 = 30°
c) c = 40°
d) d = 115°
A diagonal of a cube measures 15 cm and the length of an edge of the cube is startroot 75 endroot cm. what is the length of the diagonal of a face of the cube? round to the nearest tenth. 7.1 cm 12.2 cm 13 cm 15 cm
A cube is a three-dimensional solid object having six square faces. The measure of the length of the diagonal of the face of the cube is 12.2 cm.
What is a cube?A cube is a three-dimensional solid object having six square faces, facets, or sides, three of which meet at each vertex. The cube is one of the five Platonic solids and the only regular hexahedron.
Given the length of an edge of the cube is √75 cm, therefore, the length of the diagonal of the face of the cube will be √2 times the length of an edge of the cube. Thus, the measure of the length of the diagonal of the face of the cube is,
Length of the diagonal of the face = √2 × √75 = 12.2 cm
Hence, the measure of the length of the diagonal of the face of the cube is 12.2 cm.
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Answer: ITS B (12.2)
Step-by-step explanation:
I am the lizard king, I can do anything.
en una optica se ofrece la siguiente promoción: se descuenta de la compra de anteojos un porcentaje idéntico a la edad correspondiente del cliente, es decir, si el cliente tiene 23 años, el descuento se le aplica de un 23%. El abuelo de Andrés dice: esos anteojos de $40.000 me costarían tan solo $4.000. ¿Qué edad tiene el abuelo de Andrés?
We will see that the percentage in which the price decreases is 90%, thus the age is 90 years.
How old is Andrés?
We know that the percentage in which the price decreases is equal to the age of Andrés.
We can write:
P = $4,000 = $40,000*(1 - k)
Where k is the percentage in decimal form.
Solving for k:
k = ($40,000 - $4,000)/$40,000 = 0.9
To obtain the percentage, we multiply by 100%.
0.9*100% = 90%
We conclude that Andrés is 90 years old.
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Graph the inequality m > –2.2.
Step-by-step explanation:
I think the question should be m<-2.2 according to your number line
the answer is graphed. I hope it helps
Answer:B
Step-by-step explanation: this is because when it is greater than, it goes right, and if there is no "equal to" it is closed circle and B has a closed circle going to the right of -2.2
Darcy gave her hair hairstyles a $4.90 tip the tip was 7% of the cost of the haircut Write an equation to find b, the cost of the haircut
Work out the equation of the line which has a gradient of 1/2 and passes through the point (2, -5)
Answer:
y=½x-6
Step-by-step explanation:
m= ½
equation of the line: y-y1=m(x-x1)
y+5=½(x-2)
y=½x-6
Answer:
[tex]y =\dfrac{1}{2}x-6[/tex]
Step-by-step explanation:
Point-slope formula
[tex]y-y_1=m(x-x_1)[/tex]
where:
[tex]m[/tex] = slope (gradient)[tex](x_1,y_1)[/tex] = point on the lineGiven:
Gradient (m) = ¹/₂Point = (2, -5)Substitute the given values into the formula:
[tex]\begin{aligned}y-y_1 & =m(x-x_1)\\\\\implies y-(-5) & =\dfrac{1}{2}(x-2)\\\\y+5 & =\dfrac{1}{2}x-1\\\\y & =\dfrac{1}{2}x-1-5\\\\y & =\dfrac{1}{2}x-6\end{aligned}[/tex]
Congruent figures Practice -2 measurement of angle F
Answer:
m∠F = 45°
because
Corresponding
Parts of
Congruent
Triangles are
Congruent
Please help will give brainliest!!!!
Answer:
12
Step-by-step explanation: