On solving the provided question we can say that the value of multiplication is x^34.
What is the multiplication problems?A math problem is a problem or question that requires the application of mathematical concepts and skills to solve.It is an extension of repeated addition. The operation is symbolized by the multiplication sign "x" or an asterisk (*), a dot (•) or the letter "m" . .
For example, if we multiply 4 and 5, the product will be 20 (4x5 = 20).
In addition, multiplication can also be represented using the distributive property, which states that for any three numbers a, b and c, a(b+c) = ab + ac.
In Multiplication, order of numbers doesn't matter, meaning a x b = b x a.
It's also commutative, meaning the order of numbers doesn't change the result.
Multiplication is the foundation for many other mathematical concepts, including algebra and geometry. It's an essential operation in many fields such as science, engineering, and finance.
And answer for above question is given by,
If each of the 5 students in a class has 3 apples, the total number of apples among the students is 3 apples/student * 5 students = 15 apples.
To find the product of the number of apples and the number of students, we multiply the number of apples (15) by the number of students (5) which is 15*5 = 75
So the product of the number of apples and the number of students is 75.
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Find the value of x in 1:x=6 1/4
Answer:
x = [tex]\frac{4}{25}[/tex]
Step-by-step explanation:
1 : x = 6 [tex]\frac{1}{4}[/tex] ← change to improper fraction
1 : x = [tex]\frac{25}{4}[/tex] , then
[tex]\frac{1}{x}[/tex] = [tex]\frac{25}{4}[/tex] ( cross- multiply )
25x = 4 ( divide both sides by 25 )
x = [tex]\frac{4}{25}[/tex]
The mean of three numbers is 10 more than the least of the numbers and 15 less than the greatest. The median of the three numbers is 5. What is their sum
Answer:
Sum is
Step-by-step explanation:
Find the surface area of the composite figure. Round your answer to the nearest tenth if necessary.
If the length,breadth, height of cuboid are 16 m, 5 m,4 m , slant height of pyramid is 10m, height be 6 m then the surface area of composite figure be 444 [tex]m^{2}[/tex].
Given that the length,breadth,height of cuboid are 16m,5 m, 4m and slant height be 10 m and height be 6 m.
Surface area is basically sum of area of all the sides of a figure.
Surface area of composite figure = area of cuboid less area of common side + area of 2 slant sides of pyramid+area of two triangles.
=2(lb+bh+hl)-(lb)+2(slant height*breadth of cuboid)+2[1/2* length of cuboid* height of triangle)
=2(16*5+5*4+4*16)-16*5+2(10*5)+2[1/2*16*6]
=2(80+20+64)-80+2*50+2(48)
=2(164)-80+100+96
=328-80+196
=248+196
=444[tex]m^{2}[/tex]
Hence the surface area of composite figure having a cuboid and pyramid on top is 444[tex]m^{2}[/tex].
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What does the following expression mean? x <= y
As per inequality, it means that the value of x can be less than or equal to y.
Inequality in Mathematics
The two expressions that make up an equation or an inequality are connected in a mathematical statement. The equal sign (=) in an equation denotes the equality of the two expressions. The symbols >, <, ≤, or ≥ are used to denote an inequality, when the two expressions aren't always equal.
Type of Inequality
The given expression, x <= y denotes the type of inequality where the possible values of x are either less than y or equal to less. The value of x cannot be greater than y in any case.
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Study the following data set.
{8,15,9,18,9,17,22,10,11,9,13}
What is the quarterfinal range of the data set?
The interquartile range of the data set is 8
How to solve for the interquartile rangeTo do this we have to arrange in ascending order
= 8,9,9,9,10,11,13,15,17,18,22
Q2 = The median of the data is 11.
We have to find the median of the half before 11 and the median of the half after 11.
We would have
8,9,9,9,10
Q1 = 9
And 13,15,17,18,22
Q3 = 17
The interquartile range is
Q3 - Q1
= 17 - 9
= 8
The interquartile range of the data set is 8
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Correct question
Study the following data set.
{8,15,9,18,9,17,22,10,11,9,13}
What is the interquartile range of the data set?
TIME REMAINING
43:25
Triangles X Y Z and X prime Y prime Z prime are shown.
ΔXYZ was reflected over a vertical line, then dilated by a scale factor of One-half, resulting in ΔX'Y'Z'. Which must be true of the two triangles? Select three options.
△XYZ ~ △X'Y'Z'
AngleXZY ≅ AngleY'Z'X'
YX ≅ Y'X'
XZ = 2X'Z'
mAngleYXZ = 2mAngleY'X'Z'
Answer:
△XYZ ~ △X'Y'Z'AngleXZY ≅ AngleY'Z'X'XZ = 2X'Z'Step-by-step explanation:
Reflection over any line is a rigid transformation that does not change angles or lengths. Dilation is a transformation that changes lengths by the same scale factor, but has no effect on angles. Dilated figures are similar to the original.
ApplicationWhen ΔXYZ is reflected over a vertical line, no lengths or angles are changed. When the reflected triangle is dilated by half, we get ...
Y'X' = (1/2)YX . . . . . . . makes option 3 false
X'Z' = (1/2)XZ . . . . . . . makes option 4 true
Since no angles are changed, we have ...
Angle XZY ≅ Angle Y'Z'X' (another name for angle X'Z'Y')
... makes option 2 true
Of course, the resulting triangle is similar to the original, so ...
△XYZ ~ △X'Y'Z' . . . . . option 1 is true
please do this asap with the correct answer!!
The percentage of population has a resting heart rate is 15.7%.
Given that the mean of the data is 70 beats per minute and standard deviation is 4 beats per minute.
A probability distribution is a mathematical function that describes the probability of several possible values of a variable.
Mean, μ=70
Standard deviation, σ=4
Given that the heart rate is resting between 74 and 82.
Now, we will use the standard normal formula
P(x₁<x<x₂)=P((x₁-μ)/σ<x<(x₂-μ)/σ)
Here x₁=74 and x₂=82.
Substitute these values in the formula, we get
P(74<x<82)=P((74-70)/4<x<(82-70)/4)
P(74<x<82)=P(4/4<x<12/4)
P(74<x<82)=P(1<x<3)
P(74<x<82)=P(x<3)-P(x<1)
Now, we will find the values by using the z-table, we get
P(74<x<82)=0.998-0.841
P(74<x<82)=0.157
P(74<x<82)=15.7%
Hence, the percentage of the population has a resting rate between 74 and 82 with the mean data is 70 beats per minute and the standard deviation data is 4 beats per minute is 15.7%.
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Which set of numbers may represent the lengths of the sides of a triangle?
A. (2,2,6)
B. (5,12,13)
C. (5,5,10)
D. (1,8,10)
Answer:
B. (5,12,13)
Step-by-step explanation:
The only answer with two side lengths that are greater than the largest side length.
give the volume of the triangular prism shown
A-440in^3
B-528in^3
C-880in^3
D-264in^3
Answer:
D. 264 in³
Step-by-step explanation:
The missing edge dimension can be found using the Pythagorean theorem. Then the volume can be found using the appropriate formula.
Edge dimensionThe missing dimension and the two given for the top triangle will satisfy the Pythagorean theorem. If the missing dimension is represented by 'a', then we have ...
a² +8² = 10²
a = √(100 -64) = 6 . . . . inches
VolumeThe area of the top triangle is ...
A = 1/2bh . . . . where b and h are the base and height dimensions
A = 1/2(6 in)(8 in) = 24 in²
The volume of the triangular prism is ...
A = Bh . . . . . where B is the area of the triangular base, and h is the prism height
A = (24 in²)(11 in) = 264 in³
The volume of the triangular prism shown is 264 in³.
A credit card company charges a late fee of 10% on all late payments. last month, jamal was charged a late fee. the total amount paid, including the late fee, was $275. what was the original amount on the credit card before the late fee?
Answer:
265
Step-by-step explanation:
You subtract 275 minus 10
$247.5 was the original amount on the credit card
Lets simplify the problem,
Total amount after late fee = $275
Late fee deduction = 10%
Original amount = 275 - 10% of 275
= 275 - 27.5
= $247.5
So $247.5 was the original amount on the credit card before the late fee.
Percentage:
In mathematics, a percentage is a number or ratio that represents a fraction of 100. It is often denoted by the symbol "%" or simply as "percent" or "pct." For example, 35% is equivalent to the decimal 0.35, or the fraction.
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Write a function of the geometric sequence with a starting term of 8 and a common ratio of 2. Find the fourth term.
The expression that represents well the geometric sequence is [tex]f(n) = 8 \cdot 2^{n-1}[/tex] and the value of the fourth term is 64. (Correct choice: B)
How to analyze geometric sequencesGeometric sequences are exponential expressions with discrete domain, whose form is presented and explained below:
[tex]f(n) = a \cdot r^{n-1}[/tex], where a, r are real numbers and n is a natural number. (1)
Where:
Value of the starting term.Common ratio of the series.According to the statement, we know that the first term of the geometric sequence is 8 and between any two consecutive terms there is a common ratio of 2. If we know that a = 8, r = 2 and n = 4, then the fourth term of the series by means of (1) is:
[tex]f(4) = 8 \cdot 2^{4-1}[/tex]
f(4) = 8 · 8
f(4) = 64
The expression that represents the geometric sequence is [tex]f(n) = 8 \cdot 2^{n-1}[/tex] and the value of the fourth term is 64.
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You have one type of chocolate that sells for $1.50/lb and another type of chocolate that sells for $6.50/lb. You would like to have mix the $1.50/lb type with 10 lbs of the $6.50/lb type to make a chocolate mixture that sells for $2.50/lb. How much of the $1.50/lb type will you need to obtain the desired mixture
14 of the $1.50/lb type will you need to obtain the desired mixture.
According to the statement
Chocolate A that sells for $1.50/lb
Chocolate B that sells for $6.50/lb
Then in equation form the quantity of mixture will
A + B = X
then
$1.50A + $6.50(10) = X
1.50A + 65 = X -(1)
after solving the equation the value of a and b will become
A = 14.
So, 14 of the $1.50/lb type will you need to obtain the desired mixture.
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32. Which of the following would be in the solution set to the system of inequalities given below?
y< 2x - 4
2-y-3
(0,-5)
Both (0,-5) and (0, -2) are solutions
(0,-2)
No solution
Answer:
no
Step-by-step explanation:
The art club had an election to select a president nine out of the 12 members of the our club voted in the election what percentage of the members voted
Answer:
75%
Step-by-step explanation:
9 divided by 12 is 0.75, so 9 is 75 percent of 12.
I hope this helps, have a good day!
Geometry: Write a formal proof, ASAP!!!
[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]
[tex] \sf \: \angle1 \cong \angle3[/tex][tex]\textsf{ \underline{\underline{Steps to solve the problem} }:}[/tex]
[tex]\qquad❖ \: \sf \: \angle1 \cong \angle2[/tex]
( by corresponding angle pair )
[tex]\qquad❖ \: \sf \: \angle2 \cong \angle3[/tex]
( given in the question )
[tex] \qquad \large \sf {Conclusion} : [/tex]
[tex]\qquad❖ \: \sf \: \angle1 \cong \angle3[/tex]
How can you use the converse of the Pythagorean Theorem
to tell if a triangle is a right triangle?
Answer:
Yes. If the squares of the 2 short sides add up to the square of the hypotenuse, the triangle contains a right angle. Hope this helped.
Rewrite the ratio 15: 39 as an equivalent ratio of the form 1 : n.
Give any decimals in your answer to 1 d.p.
Answer:
n = 2.6
Step-by-step explanation:
Hello!
We can create an equation with equivalent fractions. Remember that a ratio can also be represented as a fraction.
[tex]a:b = \frac ab[/tex]We can create two fractions that are equivalent to each other given the ratios.
[tex]\frac{15}{39} = \frac 1n[/tex]Solve for n[tex]\frac{15}{39} = \frac 1n[/tex][tex]\frac{5}{13} = \frac 1n[/tex][tex]5n = 13[/tex][tex]n = \frac{13}{5}[/tex][tex]n = 2.6[/tex]The value of n is 2.6.
which statement best compares the rate of change of the two functions?
Answer:
For every x value, the y value would be double of the x value. (ex, x=2, y=4)
Step-by-step explanation:
If you look closely at every x value and see their y-values for the ordered pair, you will see that the x-value in question was doubled in order to find the y-value. This will result in the linear equation: [tex]y=2x[/tex].
Answer:
6288388288288828ffjfjjrjir
Write the expanded expression in expanded form using the definition of an exponent.
2wz^2?
The expanded form of the given expression is 2 × w × z × z
Writing an expressionFrom the question, we are to determine the expanded form of the given expression
The given expression is
2wz²
To write an expression in an expanded form, we will write the expression as a repeated multiplication in the simplest way possible.
To do this, we will first expand the index in the given expression.
The index in the given expression is z²
Thus, we get
z² = z × z
Now, we will include the remaining individual terms in the expression and write them as product.
That is,
2wz² = 2 × w × z × z
Hence, the expanded form of the given expression is 2 × w × z × z
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Jina needs to solve a problem that involves using a different type of units for angle measure. The problem given to her to calculate 6/5 * 240
The value of the expression 6/5 * 240 is 288
How to calculate the expression?The expression is given as:
6/5 * 240
Divide 240 by 5
6 * 48
Multiply 6 and 48
288
Hence, the value of the expression 6/5 * 240 is 288
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help please its my last one!
Using compound interest, it is found that they must deposit $9,143.47 in order to have the desired amount.
What is compound interest?The amount of money earned, in compound interest, after t years, is given by:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
In which:
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year.For this problem, the parameters are:
A(15) = 30000, r = 0.08, n = 4
Then we solve for P to find the initial deposit:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]30000 = P\left(1 + \frac{0.08}{4}\right)^{4 \times 15}[/tex]
[tex]P = \frac{30000}{(1.02)^{60}}[/tex]
P = $9,143.47.
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How many times does the quadratic function below the intersect the x-axis?
Quincy uses the quadratic formula to solve for the values of x in a quadratic equation. He finds the solution, in simplest radical form, to be x
Since the value of the discriminant (-19) < 0, no real solution(s)/root(s) exist for the equation. Thus, we can choose the first option:
"Zero, because the discriminant is negative".
A quadratic equation is a polynomial of degree 2, in a single variable x.
The standard form of a quadratic equation is ax² + bx + c = 0.
The quadratic formula is used to find the solution(s)/root(s) of this equation.
The quadratic formula is:
[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac} }{2a}[/tex]
In this formula, [tex]b^2-4ac[/tex] is called the discriminant (D).
The solution(s)/root(s) of the equation, depends on this discriminant value as follows:
When D > 0, the roots of the equation are real and distinct.When D = 0, the roots of the equation are real and equal.When D < 0, then no real roots exist.In the question, we are given that the simplest form of Quincy's equation in the radical form was,
[tex]x = \frac{-3 \pm \sqrt{-19} }{2}[/tex].
Comparing this to the quadratic formula,
[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac} }{2a}[/tex]
we get the discriminant (D) = -19.
Since the value of the discriminant (-19) < 0, no real solution(s)/root(s) exist for the equation. Thus, we can choose the first option:
"Zero, because the discriminant is negative".
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For complete question, refer to the attachment.
What is a Turned triangle?
Please tell me QUICKLY.
like the place where you are applying TURNED TRIANGLE.
coz literrally it means that if the trianlge has for example angle a on its right side then we turn the triangle as a whole and make the turn such that angle a is anywhere else but not on our right side....
I believe the explanation is clear, if not do contact me
The product of two fractions is 9/3/ 5. if one of them is 9/ 3/7. find the other
The other fraction is [tex]1\frac{1}{55}[/tex].
The calculation to find out other fractionProvided that ,
One fraction = [tex]9\frac{3}{7}[/tex] = [tex]\frac{66}{7}[/tex]
The product of their fraction = [tex]9\frac{3}{5}[/tex] = [tex]\frac{48}{5}[/tex]
We have to find out the other fraction.
When one fraction and their product are given, the formula to find out another fraction = product / one fraction
So, the other fraction = [tex]\frac{48}{5}[/tex] / [tex]\frac{66}{7}[/tex]
= [tex]\frac{48}{5} * \frac{7}{66}[/tex]
= 336/330
= 56/55 [divided both the numerator & denominator by 6]
= [tex]1\frac{1}{55}[/tex]
Therefore it is concluded that the other fraction is [tex]1\frac{1}{55}[/tex] .
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Identify which of the following is not equivalent to 2 3/4.
The figure that is not equivalent to 2¾ is 2¼ × 2½. That is option B.
Simplification of equivalent fractionsSimplification is a process that is used to make a fraction appear in its simplest forms.
The fraction given is = 2¾
The simplification of the fraction= 2^3/4 = 2
But simplification of 2¼ × 2½ is equal to;
2¼= 0.5
2½= 1
Therefore 2¾ is not equivalent to 2¼ × 2½ when simplified.
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A margin of sampling _______ is a statistical calculation for how accurate a poll's results are. quizlet
A margin of sampling "error" is a statistical calculation for how accurate a poll's results are.
What is sampling error?A population parameter's sampling error is the discrepancy between the sample statistic used to estimate it and the parameter itself. For instance, sampling error is the variance between a population mean and a sample mean.
The sampling errors can be placed into four categories:
population-specific error: The researcher makes a population-specific error when they are unsure of the appropriate population to sample. When respondents choose to participate in the study on their own, a selection error arises. (This limits responses to those who are interested, which spoils the results.)selection error: The sampling error for a sample chosen using a non-probability method is known as selection error. Selection error can result when participants opt to self-participate in a study and only those who are interested reply, as there may already be an underlying bias.sample frame error: When the incorrect sub-population is utilized to select a sample, a sample frame error happens. Last but not least, a non-response problem happens when potential responders cannot be reached or refuse to respond.non-response error: Non-response error is a mistake that happens when a survey doesn't receive a response to one or more questions.To know more about the sampling error, here
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Determine if each of the following functions from {a,b, c,d} to itself is one-to-one and/or onto. Check ALL correct answers. (a) f(a)
The answer is . one-to-one.
What is the domain of a set?The domain is the set of all first elements of ordered pairs (x-coordinates). The range is the set of all second elements of ordered pairs (y-coordinates). Only the elements "used" by the relation or function constitute the range. Domain: all x-values that are to be used (independent values).
(a) The function is onto because a, b, c, and d are members of its codomain. All points are converted into various points, making it a one-to-one relationship. The response is that it is one-to-one and onto ( A and C).
(b) It is onto because a, b, c, and d are members of the function's codomain. All points are converted into various points, making it a one-to-one relationship. The response is that it is one-to-one and onto (A and B).
(C) The element b is not onto since it is not a part of the function's codomain. All points are converted into various points, making it a one-to-one relationship. One-to-one is the right response.
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The complete question is -
Determine if each of the following functions from {a,b,c,d} to itself is one-to-one and/or onto.
Check ALL correct answers.
(a) f(a)=d,f(b)=a,f(c)=c,f(d)=b
A. onto.
B. neither one-to-one nor onto.
C. one-to-one.
f(a)=b,f(b)=a,f(c)=c,f(d)=d
A. one-to-one.
B. onto.
C. neither one-to-one nor onto.
f(a)=c,f(b)=d,f(c)=a
A. one-to-one.
B. onto.
C. neither one-to-one nor onto.
If B P ⊥ P C , what is m B C ^ ? 180 90 60
The measure of angle BC (m ∠BC) is 90°
Perpendicular linesFrom the question, we are to determine the measure of angle BC
From the given information, we have that
B P ⊥ P C
This means line BP is perpendicular to line PC
The angle between two perpendicular lines is 90°
Hence, the measure of angle BC (m ∠BC) is 90°.
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URGENT WHOEVER ANSWERS CORRECTLY AND FAST GETS BRAINLIEST
What is the equation that can be used to find a percent of a number?
A .part = percent + whole
B. part = percent/whole
C. part = percent x whole
D. part = whole/ percent
Answer:
C
Step-by-step explanation:
Example
Find 55% of 200.
200 times 0.55 = 110
Answer: the answer is B
Step-by-step explanation:
if we want to find the percent of 700 people out of 4400 people, we would do 700/4400, which is equal to 0.16, or 16 percent.