Answer:
10 times
Step-by-step explanation:
4 in 547 is equal to 40
4 in 84 is equal to 4
When you separate that number into smaller parts
Ex: 547 = 500 + 40 + 7
On a piano, the formula to determine the frequency, f, for the G above A440 is
F=440 2 10/12
12 Which of the following is
equivalent to f?
• 440-10 /212
• 440•12 /210
• 440-19512
O 440-12/210
Using the transformation of an exponent to a power, the formula that is equivalent to f is given by:
[tex]440\sqrt[12]{2^{10}}[/tex]
How to transform an exponent to a power?It happens according to the following rule:
[tex]a^{\frac{n}{m}} = \sqrt[m]{a^n}[/tex]
In this problem, the rule for f is given by:
[tex]440(2)^{\frac{10}{12}}[/tex]
Hence, applying the rule, the equivalent formula is given by:
[tex]440\sqrt[12]{2^{10}}[/tex]
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Answer:
C
Step-by-step explanation:
PLEASE help i have like 10 mins to turn this in
Answer:
600 inches
The volume of the box is 600 because if we take the formula and substitute the numbers given, you are left with 600 inches.
Step-by-step explanation:
V = lwh
l = 10
W = 5
H = 12
10 × 5 × 12 = 600
Two consecutive odd numbers total -20 find the smaller
Answer:
-9
Step-by-step explanation:
use an equation to solve this
consecutive means in succession, one after the other
since they're odd, both numbers have to be odd
let x be the first number
x+x+2=-20
+2 because if you only +1, one of the numbers would be even
2x+2=-20
-2. -2
2x=-22
x=-11
the smaller would be -9 since we are adding x and x+2 together
A car dealership sells SUVs and passenger cars. For a recent year, 70 more SUVs were sold than passenger cars. If a total of 340 vehicles were sold, determine the number of each type of vehicle sold.
Answer:
135 cars; 205 SUVs
Step-by-step explanation:
Let c = number of cars sold.
Let s = number of SUVs sold.
s = c + 70
c + s = 340
Substitute s in the second equation with c + 70 and solve for c.
c + s = 340
c + c + 70 = 340
2c = 270
c = 135
s = c + 70
s = 135 + 70
s = 205
Answer: 135 cars; 205 SUVs
2y+3=11
two y add three = 11
Answer:
y=4.5
Step-by-step explanation:
2y+3=11
2y=11-3
2y=9
y= 4.5
The diameter of a dime is 17.91 mm. The diameter of a strand of human hair is
Answer:
The average strand of hair is 25.4μm
Step-by-step explanation:
Diameter of dime is 2.985×10² times of diameter of human hair.
The correct option is B.
What is ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Given,
Diameter of dime = 17.91mm
Diameter of human hair = 6.0×10⁻²mm
Ratio of diameter of dime to diameter of human hair = 17.91/6.0×10⁻²
= 2.985×10²
Hence, 2.985×10² times of diameter of human hair is diameter of dime.
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Determine if this statement is true.
3 = 38^8 - 96 + 10 - 109 x 12 - 18
Answer:
an answer is 4000
-12=14021
Step-by-step explanation:
branlist
Answer:
4000
-12=14021
Which graph represents the function y = 2x - 4?
The graph of function y = 2x - 4 is shown in figure.
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Equation of line is,
⇒ y = 2x - 4
Now, WE know that;
Standard form of equation of line is,
y = mx + c
Where, m is slope and c is y - intercept.
Here, Function is,
y = 2x - 4
Hence, y - intercept = - 4
Thus, The graph of function y = 2x - 4 is shown in figure with y - intercept (0, - 4).
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If using the method of completing the square to solve the quadratic equation x^2+5x+4=0x
2
+5x+4=0, which number would have to be added to "complete the square"?
Step 1 Divide all terms by a (the coefficient of x2). Step 2 Move the number term (c/a) to the right side of the equation. Step 3 Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation.
PLEASE HELP ME!!!!!!!!!
Answer:
[tex]\{-2,2\}[/tex]
Step-by-step explanation:
[tex]~~~~~~2|p| = 4\\\\\implies |p| = \dfrac 42\\\\\implies |p| = 2\\\\\implies p =\pm2[/tex]
CAN ANYONE PLEASE HELP ME IM IN A RUSH
Answer:
I forgot to change pi into 3.14
does someone mind helping me with this problem please? Thank you!
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's calculate the circumference ~
[tex]\qquad \sf \dashrightarrow \: c = \pi d[/tex]
where,
d = diameter = 2 × r = 2 × 2 = 4 cmnow, plug in the values ~
[tex]\qquad \sf \dashrightarrow \: c = 3.14 \times 4[/tex]
[tex]\qquad \sf \dashrightarrow \: c = 12.56 \: \: m[/tex]
The circumference of the given circle.
Solution:[tex]c = 2 {\pi}r[/tex]
[tex]c = 2 \times 3.14 \times r[/tex]
[tex]c = 2 \times 3.14\times 2[/tex]
[tex]c = 12.56 \: m[/tex]
Hence, the circumference of the given circle is 12.56 meters.
Solve for x in the equation x squared 10 x 12 = 36. x = –12 or x = 2 x = –11 or x = 1 x = –2 or x = 12 x = –1 or x = 11
Quadratic equations are equations that has a leading degree of 2. The value of x from the given quadratic equation is 2 or -12
Quadaratic equationQuadratic equations are equations that has a leading degree of 2
GIven the quadratic equation expressed as x^2 + 10x + 12 = 36
Rewrite
x^2 + 10x - 36 + 12 = 0
x^2 + 10x - 24 = 0
Factorize
x^2 + 12x -2x - 24 = 0
x(x+12) -2(x+12) = 0
x - 2 = 0 and x = -12
x =2 or -12
Hence the value of x from the given quadratic equation is 2 or -12
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Answer:
A on edge 23'
Step-by-step explanation:
because i said so
A biologist is studying the growth of a particular species of algae. She writes the following equation to show the radius of the algae, f(d), in mm, after d days:
f(d) = 7(1.06)d
Part A: When the biologist concluded her study, the radius of the algae was approximately 13.29 mm. What is a reasonable domain to plot the growth function? (4 points)
Part B: What does the y-intercept of the graph of the function f(d) represent? (2 points)
Part C: What is the average rate of change of the function f(d) from d = 4 to d = 11, and what does it represent? (4 points)
Un dominio razonable para la función f(d) en el periodo de tiempo estudiado es:
Dominio de f(d) = d ∈ [0, 7]
Mientras que el intercepto con el eje f(d) ocurre en el valor 11 mm y representa el valor del radio del alga cuando se inició el experimento en el tiempo cero.
Explicación paso a paso:
Part A: When the biologist concluded her study, the radius of the algae was approximately 11.79 mm. What is a reasonable domain to plot the growth function?
De acuerdo con la gráfica anexa y el significado de las variables involucradas, el dominio razonable para la función f(d) en el periodo de tiempo estudiado es:
A triangle on a coordinate plane is translated according to the rule t–8, 4(x, y). which is another way to write this rule? (x, y) → (x 4, y – 8) (x, y) → (x – 4, y – 8) (x, y) → (x – 8, y 4) (x, y) → (x 8, y – 4)
The rule is a translation rule, and another way of writing the rule t -8, 4(x, y) is (x - 8, y + 4)
How to rewrite the transformation rule?The rule is given as:
t -8, 4(x, y)
The above rule means that:
A translation of 8 units right and 4 units up.
This is represented as:
(x - 8, y + 4)
Hence, another way of writing the rule t -8, 4(x, y) is (x - 8, y + 4)
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Answer:
C: (x, y) → (x – 8, y + 4)
Step-by-step explanation:
Please help, I don't understand these exercises.
Step-by-step explanation:
the awnser enlarges, preserves, scale reduces
The scale of a map is 1 1/4 inches = 80 miles. On that map, two cities are 4 inches apart. What is the actual distance between the cities?
Answer: 256 miles
Step-by-step explanation:
if 1 1/4 inches = 80 miles, then 1/4 inch = 16 miles (there are five 1/4 in 1 1/4 inches, so 80/5 = 16)
there are sixteen 1/4 inches in 4 inches, and we know that each 1/4 inch is equal to 16 miles, so 16*16 = 256
HURRRYYYY I HAVE 5 MINUTES!!!
What are the slope and the y-intercept of the linear function that is represented by the table?
x
y
–1
Negative three-halves
Negative one-half
0
0
Three-halves
One-half
3
The slope is –3, and the y-intercept is Negative one-half.
The slope is –3, and the y-intercept is Three-halves.
Answer:
The slope of the line is 3 and the y-intercept is (3/2) three-halves.
Step-by-step explanation:
The data provided is:
X Y
-1.0 -1.5
-0.5 0.0
0.0 1.5
0.5 3.0
The slope of the linear function is denoted by, b and the intercept is denoted by, a.
The formula to compute the slope and intercept are:
Compute the values required in Excel.
Compute the slope and intercept as follows:
Thus, the slope of the line is 3 and the y-intercept is (3/2) three-halves.
Ayuda por favor!!
doy gracias y corona!!
Answer:
Ganara $15000 si trabaja 50 horas.
The circumference of a circle is a 12.1mm. Find the length of the radius. Give your answer rounded to 1 DP.
Answer:
1.9
Step-by-step explanation:
r=C/2π
r-12.1/2π=1.9257...
Answer:
1.9 mm
Step-by-step explanation:
Circumference of circle = 2πr
2πr = 12.1 mm
[tex]\sf 2* \dfrac{22}{7}*r= 12.1\\\\[/tex]
[tex]\sf r = \dfrac{12.1*7}{2*22}\\\\[/tex]
= 1.925
[tex]\sf \boxed{radius =1.9 \ mm }[/tex]
The rate startfraction 450 pounds over 25 buckets endfraction describes the relationship between the number of buckets and the weight of the lobsters in the buckets. what is the weight of one bucket of lobsters?
15 pounds per bucket
18 pounds per bucket
20 pounds per bucket
25 pounds per bucket
Answer:
The answer is 18 pounds per bucket.
Understanding the ProblemIn this question, we are given the expression that relates the pounds of lobster to the number of buckets:
[tex]\displaystyle \frac{\text{450 pounds}}{\text{25 buckets}}[/tex]
This fraction is presented to give a proportion of pounds of lobster to the number of buckets these lobsters inhabit.
With this proportion, we are expected to assume that the rate will be equivalent across all of the buckets. Therefore, for each bucket, there will be an equal measurement of pounds of lobster.How to Solve the ProblemTo solve this problem, we need to know exactly how this rate will work.
A rate is the same thing as a fraction, percentage, or decimal. All of these forms are convertible between one another.
For instance, if we took 25%, we know that by dividing this by 100, we receive a decimal form (0.25) or a fractional form (1/4).
We can apply the same principle here.
SolvePart I - Set up the Rate
To solve, set up the rate:
[tex]\displaystyle \frac{450 \ \text{pounds}}{25 \ \text{buckets}}[/tex]
Part II - Find the GCF
Then, find the Greatest Common Factor (GCF) of the two digits:
25 — 1, 5, 25450 — 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450Check for common factors between the two trees:
1, 5, 25Since 25 is the greatest of the three factors, it is the GCF.
Part III - Apply the GCF
Divide both the numerator and the denominator by 25:
[tex]\displaystyle \frac{450}{25} = 18[/tex]
[tex]\displaystyle \frac{25}{25} = 1[/tex]
Part IV - Simplify
Set up the new fraction:
[tex]\displaystyle \frac{18}{1}[/tex]
Anything divided by 1 does not change:
[tex]\displaystyle \frac{18}{1} = 18[/tex]
Final ApplicationsSince we got 18 an answer, this means that there are 18 pounds of lobster per bucket.
How to find the root of x^2 -6x+8=0
Answer:
2,4
Step-by-step explanation:
This question is quite simple. First you need to find the factors of 8. Then you need to see which factors of positive 8 can add up to make -6. The factors are -4 and -2. Then expand. Now you have the equation x^2-4x-2x+8. Now group it.
(x^2-4x) +(-2x+8)
Then take out the X from the first group and the -2 from the second. We want the values in the brackets to be the same.
Now you have
x(x-4)-2(x-4)
Take the x and the -2x and make it a group. Now you have (x-4)(x-2)
Set x-4 equal to zero. x-4=0 Now solve it like a regular equation. Add four to both sides. Now you have x=4
Do the same thing with (x-2) and you get x=2
4 and 2 are your solutions
Answer:
x = 4 and x = 2
Step-by-step explanation:
The easiest way to find the roots is by converting the function into its factored form. This can be determined by asking the question:
What two numbers have a product 8 and a sum of -6?
These two values are -4 and -2.
-4 x -2 = 8
-4 + (-2) = -6
These two numbers are used in the factored form of the equation. You can prove the accuracy of the factored form by re-expanding it (multiply all the terms in the first parentheses by the terms in the second parentheses). The factored form looks like this:
(x - 4)(x - 2)
The roots are the values that make the expression equal 0. This can be done by setting each parentheses equal to 0 and solving for "x".
x - 4 = 0 x - 2 = 0
x = 4 x = 2
Therefore, the roots of the function x² - 6x + 8 are x = 4 and x = 2.
Dean wants to know what percentage of students at his school are interested in painting. Where could Dean find a sample of students to interview that would be most representative of the entire student body?
Question 2 options:
a) a music class
b) the school cafeteria
c) a basketball game
d) the county library
Answer:
B
Step-by-step explanation:
Everyone eats whereas not everyone would enjoy being at the other options
A prism has a volume of 225 cubic meters.
A prism has a length of 7.5 meters, width of w, and height of 5 meters.
Which is the correct substitution for finding the width of the prism?
V = l w h. 225 = 7.5 + w + 5.
V = l w h. 5 = 15 times 225 times h.
V = l w h. 7.5 = 7.5 times w times 5.
V = l w h. 225 = 7.5 times w times 5.
Mark this and return
Answer: Its D
Step-by-step explanation:
please help with this question
Step-by-step explanation:
so, that means we want to find the time t (days) after which N = No/2
because "half-life" means the amount of time until half of the substance has disappeared (or transformed into something else).
so, we have
No/2 = No × e^(-0.1481×t)
No = 2× No × e^(-0.1481×t)
1 = 2×e^(‐0.1481×t)
1/2 = 0.5 = e^(-0.1481×t)
ln(0.5) = -0.1481×t
t = ln(0.5)/-0.1481 = 4.680264555... ≈ 4.7 days
Find the lateral area and the surface area of the composite solid. Round your answers to the nearest hundredth.
The lateral area is about ____
square inches
The surface area is about ___
square inches
The surface area of the solid will be A=327.5 square inches and the lateral surface area will be A= 377.5 square inches.
What is the area?The space occupied by any figure in the two-dimensional space is called an area. The area can be rectangular circular triangular types.
Here we have the figure made up by the two pyramids and one rectangular box. So we will find the surface area of the pyramid then the rectangular box and again the pyramid and will add all of them.
The Lateral surface area will be calculated as:-
A=2W√(w÷2)²+(h)²+w²
A=2x5√(5÷2)²+(3)²+5x5
A=152.5 +25
A=177.5 square inch
Area of lower pyramid= (1÷2)xbxh+w²
A=(1÷2)x5x7.5 + 25 =75+25= 100
Area of the rectangular box= 4(w²)=4(5x5)=100
So total lateral surface area will be =100+100+177.5=377.5 square inch
(2)The surface area will be calculated as:-
A=2W√(w÷2)²+(h)²
A=2x5√(5÷2)²+(3)²
A=152.5 square inches
Area of lower pyramid= (1÷2)xbxh
A=(1÷2)x5x7.5 =75 square inches
Area of the rectangular box= 4(w²)=4(5x5)=100
So total surface area will be =100+75+152.5=327.5 square inch
Hence the surface area of the solid will be A=327.5 square inches and the lateral surface area will be A= 377.5 square inches.
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1.The scientist has 42 turtle eggs. She wants to place them in equal rows in an incubator. What is one way that she could place the eggs?
Answer:
See below
Step-by-step explanation:
There are two feasible ways to place the turtle eggs.
7 Turtle eggs in 6 rows6 Turtle eggs in 7 rowsWhat is the correct classification for ∠JML?
obtuse
straight
right
acute
Ray M J and Ray M L are connected at point P, forming angle J M L. A ray M K sharing the same point forms a bisector. A ray M H also sharing the same point from the diagonally down from the right. The angle J M K measure 41 degrees and angle L M H measure 132 degrees.
The correct classification for the angle JML is an acute angle.
What is an acute angle?
An acute angle has a measure, or it's smaller, than a right angle.
Therefore, the acute angle is the small angle which is less than 90°
let's find the measure of ∠JML
Hence,
∠JML = ∠JMK + ∠KML
∠KML = 180 - 132 = 48 degrees.
Therefore,
∠JML = 41 + 48 = 89 degrees.
Therefore, the correct classification for the angle JML is an acute angle.
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Triangle EFG, with vertices E(-9,2), F(-5,3), and G(-7,5), is drawn inside a rectangle, as shown below.
Check the picture below.
so hmmm let's get the whole area of the rectangle, and then get the areas of those 3 triangles and subtract their area from that of the rectangle's, what's leftover is what we didn't subtract, namely, the white triangle.
[tex]\stackrel{\textit{\huge Areas}}{\stackrel{rectangle}{(3)(4)}~~ - ~~\stackrel{green~triangle}{\cfrac{1}{2}(2)(3)}~~ - ~~\stackrel{pink~triangle}{\cfrac{1}{2}(2)(2)}~~ - ~~\stackrel{yellow~triangle}{\cfrac{1}{2}(4)(1)}} \\\\\\ 12~~ - ~~3~~ - ~~2~~ - ~~2\implies 5[/tex]
26 students are in a classroom. How many different ways can a group of 5 students be chosen?
The number of different ways by which can a group of 5 students be chosen from the 26 students is 65780.
What is combination?Combination is the way of arrangement or the collection of items in the particular order. The order of this group of items does not matter in the combination type of arrangement.
The formula of combination is,
[tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]
Here, n is the total number of items and r is the number of ways by which an item is chosen from the set.
26 students are in a classroom. The number of different ways can a group of 5 students be chosen are,
[tex]^26C_5=\dfrac{26!}{5!(26-5)!}\\^26C_5=\dfrac{26\times25\times24\times23\times22\times21!}{5!21!}\\^26C_5=\dfrac{26\times25\times24\times23\times22}{5\times4\times3\times2\times1}\\^26C_5=65780[/tex]
Thus, the number of different ways by which can a group of 5 students be chosen from the 26 students is 65780.
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