Answer: 122.5
Step-by-step explanation:
First, you have to do the distributive property for all numbers. In order to do that, you must first combine like terms.
Combining like terms are numbers that are in the parenthesis that don't have an exponent, variable, etc. In this case, you would combine 12 and -7 since they are in the same parenthesis case. 12-7 would be 5. Now, you have 7[2.5] + 3(5)]
Next, you use PEMDAS which means multiplication (parenthesis) is next which means you multiply 3 and 5. 3x5 - 15.
After that, you combine like terms again with the 2.5 and the 15 since the 15 is now out of the parenthesis. 2.5 + 15 = 17.5
Finally, you take the 7 and multiply that by 17.5 now that you have those 2 numbers left and they are in the brackets. 17.5x7 is 122.5!
However, if there is a variable to solve for, then the answer would be none/no solution because both sides are not equal.
How many cubes with side lengths of 1/4 cm does it take to fill the prism?
2 cm
7/4 cm
1 cm
Numbers of cubes are 224
We have been given that
side length of cubes is = 1 /4 cm
dimension of prism are
2 cm
7/4 cm
1 cm
Each cube with side lengths of 1/4 have a volume of (1/4)3 . To find how many cubes are needed to fill the prism.
Prism: A glass or other transparent object in prism form, especially one that is triangular with refracting surfaces at an acute angle with each other and that separates white light into a spectrum of colors.
To compute the prism volume in the given dimensions (cm³) and the cube volume in the same dimensions, then find the number of cube volumes in the prism volume.
Prism volume = l×w×h
Cube volume = (side)³
than Prism volume =(2×7/4×1)cm
= (3.5)cm
and cube volume = (1/4)³cm
= (1/64)cm
Then the number of cubes that will fit in the prism is ...
(Prism volume)/(cube volume)
(3.5)/(1/64)cm= 224 cubes
To learn more about Volume
visit https://brainly.ph/question/53283
#SPJ9
Find the missing Endpoint
respond to the following in a minimum of 175 of your own words: how would you explain the differences between the trapezoidal rule and simpson's rule to a first-year student majoring in math? what do these rules solve? what are the error limits of each method? under what circumstances would you use one method instead of the other?
The differences between the trapezoidal rule and simpson's rule is -
The trapezoidal rule and Simpson's method, the latter a set of formulas of varying complexity, are both Newton-Cotes formulas, that are used to examine and model complex curves.
What is trapezoidal rule?The trapezoidal rule is just an integration rule that divides a curve into small trapezoids to calculate the area under it. A area under the curve is calculated by adding the areas of all the small trapezoids.
Follow the steps below to use the trapezoidal rule to determine the area under given curve, y = f. (x).
Step 1: Write down the total number of sub-intervals, "n," as well as the intervals "a" and "b."Step 2: Use the formula to determine the width of the sub-interval, h (or) x = (b - a)/n.Step 3: Use the obtained values to calculate this same approximate area of a given curve, ba f(x)dx Tn = (x/2) [f(x0) + 2 f(x1) + 2 f(x2) +....+ 2 f(n-1) + f(n)], where xi = a + ixWhat is Simpson's method?Simpson's rule is used to approximate the area beneath the graph of the function f to determine the value of the a definite integral (such that, of the form b∫ₐ f(x) dx.
Simpson's 1/3 rule provides a more precise approximation. Here are the steps for using Simpson's rule to approximate the integral ba f(x) dx.
Step 1: Figure out the values of 'a' & 'b' from interval [a, b], as well as the value of 'n,' which represents the number of subintervals.Step 2: Determine the width of every subinterval using the formula h = (b - a)/n.Step 3: Using the interval width 'h,' divide this same interval [a, b] [x₀, x₁], [x₁, x₂], [x₂, x₃], ..., [xn-2, xn-1], [xn-1, xn] into 'n' subintervals.Step 4: In Simpson's rule formula, substitute all of these values and simplify. b∫ₐ f(x) dx ≈ (h/3) [f(x0)+4 f(x1)+2 f(x2)+ ... +2 f(xn-2)+4 f(xn-1)+f(xn)].Thus, sometimes we cannot solve an integral using any integration technique, and other times we don't have a particular function to integrate. Simpson's rule aids in approximating the significance of the definite integral in such cases.
To know more about the Simpson's method and trapezoidal rule, here
https://brainly.com/question/16996659
#SPJ4
Suppose you earned a $595,000 bonus this year and invested it at 8.25% per year. how much could you withdraw at the end of each of the next 20 years? select the correct answer.
Also ask this in ijsjsjwnwhsvsusu. You can also find in
Select an angle pair that represent two adjacent angles
Question 1 of 10
Which describes the graph of y= -(x - 3)² + 2?
which means the graph is on quadrate 2 or 3.
Straight Line :
A straight line is an infinite-length line that does not have any curves on it. A straight line can be formed between two points also but both ends extend to infinity. A straight line is a figure formed when two points A (x1, y1) and B (x2, y2) are connected with the shortest distance between them, and the line ends are extended to infinity.
In the image shown below, a straight line between two points A and B is shown. A straight line AB is represented by: Vector AB
The lines are drawn in a slanting position or form some angle other than 0o, 90o, 180o, 270o, 360o with horizontal or vertical lines are called oblique or slanting lines.
y= -(x - 3)² + 2.
y= - (x2+9-6x)+2
y= -x2-9+6x+2
y= -x2-7+6x
y= -x2+6x-7
-y = x2+7x-x-7
-y= x(x+7)-1(x+7)
-y= (x+7)(x-1)
which means the graph is on quadrate 2 or 3.
straight line graph of y = -(x - 3)² + 2.4
More details : brainly.com/question/20492082
#SPJ9
which conversion factor can you use to convert meters to feet?
select all that apply
3fy/1yd
12in/1ft
1.09yd/1m
1m/1.09yd
1ft/12in
1yd/3ft
The conversion factor to convert meters to feet is 3.281 feet per meter.
What conversion factor should we use to convert meters to feet?
According to dimensional analysis, a quantity in a given unit can be converted into another quantity in a given unit of the same kind by using a conversion factor, whose formula is shown below:
Y = A · X
Unit representation
[Y] = ([Y] / [X]) · [X]
In this problem we need to convert a SI length unit into an US length unit. A meter is approximately equal to 3.281 feet or 1.094 yards.
To learn more on conversion factor: https://brainly.com/question/28366871
#SPJ1
Randy Johnson, a hall-of-fame baseball pitcher, could throw a baseball 100 miles per hour. How fast could he
throw the baseball in feet per second? Show the work that leads to your answer. (HINT: There are 5,280 feet
in a mile.)
Answer:
Answer:
I believe its 0.681818 feet per second.
- Three times a number increased by 15 is
equal to 30. What is the number?
plify.
Answer:
x = 5
Step-by-step explanation:
3x + 15 = 30 Subtract 15 from both sides of the equation
3x = 15 Divide both sides by 3
x = 5
The variance of a sample of 196 observations equals 784. find the standard deviation of the sample. 14
The standard deviation of the sample = 28.
Defining standard deviation:An indicator of how much a set of values vary or are dispersed is the standard deviation. When the standard deviation is low, the values tend to fall within a narrow range of the set's mean, while when it is high, the values tend to deviate from that mean more.
Does a high standard deviation make sense?The standard deviation is a tool for calculating market volatility or the variation in asset prices from their mean. A high standard deviation indicates that prices are moving erratically and that an investment will indeed be risky. Low standard deviation indicates stable prices and low risk for investments.
According to the given data:A specimen of 196 observations has a variance of 784. determine the sample's standard deviation.
variance = 784
we have to find the stranded deviation:
stranded deviation = √variance
= √784
= 28
The standard deviation of the sample = 28.
To know more about standard deviation visit:
https://brainly.com/question/13336998
#SPJ4
Suppose that two parents are both heterozygous for sickle cell anemia, which is an autosomal recessive disease. They have six children. Use the binomial theorem to determine the probability that three of the children have sickle cell anemia and three of the children are healthy. Round your answer to the nearest tenth.
The probability that three of the children have sickle cell anemia and three of the children are healthy 13.2%.
What is sickle cell anemia?Sickle cell anemia is an autosomal recessive condition, the trait is only visible in the homozygous state.
The parents are heterozygous( Aa × Aa), and the progeny (AA, Aa, Aa, and aa) have a normal probability of 3/4 and an affected probability of 1/4.
The binomial theorem can be used to calculate the probability of a normal and affected child:
Probability = n! / x! ( n! - x!) × pˣqⁿ⁻ˣ.
Here, n is the total children 6,
Let 'x' be the normal child
Then, n! - x! is the affected child.
Let 'p' is the normal child probability (= 3/4) and
Then, 'q' is affected child probability (= 1/4).
Substituting the values in the formula;
probability = (6!/3!×3!)×(3/4)³×(1/4)³
on solving
probability = 0.1318
probability = 13.18%
probability = 13.2% (approximately)
Therefore, the binomial theorem to determine the probability that three of the children have sickle cell anemia and three of the children are healthy is 13.2%.
To know more about binomial theorem, here
https://brainly.com/question/13602562
#SPJ4
Please help me I’m giving brainiest
Answer:
2/9
Step-by-step explanation:
_________________________
Answer:
1 5/9
Step-by-step explanation:
1. 1+1/3 = 1 1/3
2. 1 1/3 x 1 1/3 = 1 7/9
3. 1 7/9 - 2/9 = 1 5/9
y is inversely proportional to the square of x find an equation for y in terms of x
hmmm from the table, let's just pick one point since we know "y" is inversely proportional, so hmmm let's say hmm the point when x = 4 and y = 9/16
a)
[tex]\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{"y" inversely proportional to }x^2}{ {\LARGE \begin{array}{llll} y = \cfrac{k}{x^2} \end{array}}}\qquad \textit{we also know that} \begin{cases} x=4\\ y=\frac{9}{16} \end{cases} \\\\\\ \cfrac{9}{16}=\cfrac{k}{(4)^2}\implies \cfrac{9}{16}=\cfrac{k}{(16)}\implies \cfrac{9(16)}{16}=k\implies 9=k~\hfill \boxed{y=\cfrac{9}{x^2}}[/tex]
b)
when y = 16, what's "x"?
[tex]16=\cfrac{9}{x^2}\implies x^2=\cfrac{9}{16}\implies x=\pm\sqrt{\cfrac{9}{16}}\implies x=\pm \cfrac{\sqrt{9}}{\sqrt{16}}\implies \stackrel{positive~value}{x=+\cfrac{3}{4}}[/tex]
After a 20% increase, the new price of a radio is $78. what was the original price?
Answer:
$65
Step-by-step explanation:
The original price was x.
x was increased by 20%, so the new price is
x + 20% of x = x + 0.2x = 1.2x
The new price is 1.2x
The new price is $78
1.2x = 78
x = 78/1.2
x = 65
Answer: $65
georgraphers divide the worlds land masses into seven
Answer: seven continents
Step-by-step explanation:
Asia, Africa, North America, South America, Antarctica, Europe, and Australia
The scores on Dave’s first two biology tests are 65 and 81. By how
many points did Dave’s improve on his second test?
Answer:
16
Step-by-step explanation:
-lukelaws hope i helped if i did please make me brainliest and if i got it wrong i am so sorry
how many solutions does this equation have ? 2q-3q=-q
Equation have infinity solution
Here the equation is 2q-3q =-q.
After solving this we have
-q = -q
As Left-hand side is equal to the right-hand side.
Therefore whatever the value we will put for the q, the left and right hand side remains the same.
Therefore this equation has an infinity solution.
To know more about the number of solutions for the equation refer to the link given below:
https://brainly.com/question/10043755
#SPJ1
(cube root of x) + 5 all over cube root of x
2. What is the slope of the line that passes through the given points? (1 point)
(6,-1) and (-3,-1)
A. undefined
B.-2/3
C.0
D.-3/2
Answer:
C. 0
Step-by-step explanation:
m = (y2-y1)/(x2-x1)
m = (-1 - -1)/(-3 - 6) = (-1 + 1)/(-9) = 0/9 = 0
Answer:
C
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (6, - 1 ) and (x₂, y₂ ) = (- 3, - 1 )
m = [tex]\frac{-1-(-1)}{-3-6}[/tex] = [tex]\frac{-1+1}{-9}[/tex] = [tex]\frac{0}{-9}[/tex] = 0
A table
cloth is 82 inches
long. What is its length in
feet and inches?
True/False: Perimeter is the number of squares you can fit inside of any shape?
O True
O False
WILL MARK BRAINLIST
Answer!!!
A horse eats 18 kg of corn in 12 days. How much does he eats in 9 days?
and also one more question
is this in
Inverse proportion
or
Direct proportion
11. PARKS The Hillsborough State Park in
Thonotosassa, Florida, charges an admission
fee of $4 plus a camping fee of $20 per
night. This can be represented by the
function f(x)
20x +4, where f(x) is the total
cost and x is the number of nights spent
camping. What is the value of f(5), which is
the cost of 5 nights of camping? (Lesson 2-1)
A. 80
B. 100
C. 104
D. 120
Answer:
f(5) = 104
Step-by-step explanation:
To find the value of f(5), we have to plug in 5 into our equation f(x) = 20x + 4.
f(5) = 20(5) + 4
Following our order of operations, we multiply first, then add to get our answer.
f(5) = 20(5) + 4
f(5) = 100 + 4
f(5) = 104
The cost of 5 nights of camping is $104.
Label the following number as a prime or composite. if the number is composite, then factor it completely. if the number is prime, answer "dne". 1426 select an answer factored:
Answer:
the answer due to the question is
1 is thousand
4 is hundred
2 is tens
6 is ones
Can I get some help please
Step-by-step explanation:
1
A: is a function since 2 different x values can have the same y value
B: not a function since the x value 0 gives different values which makes it not a function.
C: since 4 corresponds to 2 different y values it is not a function.
D and E are not function since there are different y values for the same x value.
2: all of the answers are determined by the vertical line test.
A NOT A FUNCTION
B NOT A FUNCTION
C A FUNCTION
D UNCLEAR
E NOT A FUNCTION
hope this helps and make sure to ask any qs if you doubt anything :)
If Bill wants to find the average of his family's heights. If his brother is 60 inches tall, his
sister is 58 inches tall, his mother 64 inches tall, and his father 72 inches tall, how tall
does Bill need to be to have an average family height of at least 62 inches?
Answer: 56 inches
Step-by-step explanation:
a. 60+58+64+72=254 (Add the average of his family without including him)
a. 62x5=310 (The average times 5, cause there are 5 of them will get you the total number of inches)
b. 310-254=56 (Subtract the total number of the 5 of them with the 4 of them to find Bill's height)
you can check your answer by adding all their heights.
Robert started his presentation with interesting statistics. this is an example of a?
Robert started his presentation with interesting statistics. this is an example of a Hook.
What should you concentrate on initially when you are getting ready to start a paper?
Any paper's introduction, regardless of how lengthy or how short it is, should begin with a hook sentence. In a typical essay, that initial line is followed by two or three additional that give specifics about your topic or your methodology.What exactly is a sample thesis statement?
A thesis statement will assist you in narrowing your topic choice and should clearly describe the subject of your paper. In a seven to ten page essay on hunger, you might state something like: "World hunger has various causes and effects." For two main reasons, this thesis statement is weak.Learn more about thesis statement
brainly.com/question/27811693
#SPJ4
what is the meaning of the algebraic expression 8x
The given algebraic expression 8x ia a one degree polynomial forming the straight line.
What is defined as the polynomials?Polynomials are algebraic expressions with indeterminates and constants in them.
A polynomial is a form of algebraic expression wherein all variable exponents are whole numbers. Variable exponents in any polynomial must be non-negative integers.The degree of a polynomial is the highest as well as greatest exponent of a variable in a polynomial. Utilising Descartes' Rule of Signs, the degree is used to estimate the optimum number of solutions to a polynomial equation.For the given algebraic expression 8x;
As, the highest exponent of the variable part 'x' is 1 that is why the degree of the polynomial is one.
This implies that for every value of x there is a single value of value of functions.
This will form the straight line when graph is plotted for them.
Thus, the given algebraic expression 8x is called the one degree polynomial.
To know more about the polynomials, here
https://brainly.com/question/2833285
#SPJ9
20 girls and 32 boys volunteer to plants trees at a school. The principal divides the girls and boys into
identical groups that have girls and boys in each group. What is the greatest number of groups the
principal can make?
The greatest number of groups the principal can make is
The principle can makes 4 groups with 7 girls and 8 boys.
What is HCF?The biggest number that divides each of the two or more numbers is known as the HCF, or highest common factor. The Greatest Common Measure (GCM) and Greatest Common Divisor are further names for HCF (GCD). The least common multiple, or LCM, is used to determine the smallest common multiple of any two or more numbers. LCM and HCM are two separate approaches.
According to the given statement ;
We are given that 28 girls and 32 boys volunteer to plant at a school.
The principle divided the girls and boys into identical groups that have girls and boys in each group.
We have to find that how much the principle can make greatest number of groups.
We will find HCF of 28 and 32
28= 2X2X7
32= 2X2X2X2X2
Highest common factor of 28 and 32 =2X2=4
Therefore, the principle can makes 4 groups with 7 girls and 8 boys.
To know more about HCF, Visit;
https://brainly.com/question/17240111
#SPF9
Can someone explain how to find EF? AKA #3
The length of the side EF will be 18 inches as the sides opposite to the equal angles are also equal.
We are given a triangle EFG.
In this triangle, we can see that:
∠ E = ∠ F = 23°
Now, we know that the sides opposite to the equal angles are also equal.
So, the side opposite to angle E is GF
And the side opposite to angle F is EF.
This means that EF will be equal to GF.
EF = GF
Now, we are also given that GF = 18 inches.
So, EF will also be:
EF = 18 inches.
Therefore, we get that, the length of the side EF will be 18 inches as the sides opposite to the equal angles are also equal.
Learn more about angles here:
https://brainly.com/question/25716982
#SPJ9
