We will have the following:
Inverse:
I won't win $1 million, if I don't hit the jackpot.
Converse:
If I hit the jackpot, then I will will $1 million.
Contrapositive:
If I don't hit the jackpot, then I won't will $1 million.
1 1/4% in simplest form
Answer:
It can be written as 0.25 in decimal form (rounded to 6 decimal places).
Step-by-step explanation:
Answer:
It is already in the simplest form, but you can convert It into many things.
Step-by-step explanation:
Make this into an improper fraction you: 1 x 4 + 1 then put the answer on the numerator and keep the denominator.
Mixed number = 5/4
Decimal = 1.25
because 1/4 = 0.25
and 1 is a whole number.
I need to know what 2 numbers go in here to equal 20
Answer:
4 and 2
Step-by-step explanation:
4x4+2x2
16+4=20
A relationship in which higher levels of one variable are associated with higher levels of another is best described as ____.
Answer:
Positive correlation
Step-by-step explanation:
A positive correlation is a relationship between two variables in which both variables move in the same direction. Ex: Higher levels of one variable are associated with higher levels of the other.
A relationship in which higher levels of one variable are associated with higher levels of another is best described as Positive correlation.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We know that;
A positive correlation is a relationship between two variables that move in tandem—that is, in the same direction. A positive correlation exists when one variable decreases as the other variable decreases, or one variable increases while the other increases.
Hence, A relationship in which higher levels of one variable are associated with higher levels of another is best described as Positive correlation.
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help. use the figure shown to the right to find the value of x
Answer:
\(\begin{aligned}x &= 16\sqrt3 \\ &\approx 27.7\end{aligned}\)
Step-by-step explanation:
We can see that the longer leg (a) of a right triangle is half of the circle's radius. Since we are given the other two sides of the triangle (shorter leg and hypotenuse), we can solve for the length of the longer leg using the Pythagorean Theorem:
\(a^2 + b^2 = c^2\)
↓ plugging in the given values
\(a^2 + 2^2 = 14^2\)
↓ subtracting 2² from both sides
\(a^2 = 14^2 - 2^2\)
\(a^2 = 196 - 4\)
\(a^2 = 192\)
↓ taking the square root of both sides
\(a = \sqrt{192\)
↓ simplifying the square root
\(a = \sqrt{2^6 \cdot 3\)
\(a = 2^{\, 6 / 2} \cdot \sqrt3\)
\(a = 2^3\sqrt3\)
\(a = 8\sqrt3\)
Now, we can solve for the radius (x) using the fact that the longer leg of the triangle is half of it.
\(a = \dfrac{1}{2}x\)
↓ plugging in the a-value we solved for
\(8\sqrt3 = \dfrac{1}2x\)
↓ multiplying both sides by 2
\(\boxed{x = 16\sqrt3}\)
Which of the following is a rational number?
Square root of 15, square root of 16, square root of 21, square root of 22
Answer:
square root of 16
Step-by-step explanation:
4x4=16
You are walking along a path y= 2x + 12 and your
best friend is walking along 4x + y = 6. At what point will
you cross paths?
Answer:
(-1,10)
Step-by-step explanation:
At the point when the paths cross, the respective x and y values of each equation will be equal.
Your path is y=2x+12, and your friends path is 4x+y=6. Sub 2x+12 in for y (from your path's equation) into your friends equation to find the value of x:
4x+2x+12=6
6x=-6
x=-1
y=2x+12
y=2(-1)+12=10
So you will cross paths at (-1,10)
A phone receives signals from a transmitter that is 13km west and 21km south of it. what is the bearing from the phone to the transmitter? give your answer to the nearest degree
The bearing from the phone to the transmitter is approximately 31 degrees to the east of the north direction.
To determine the bearing from the phone to the transmitter, we can use trigonometry.
The bearing is typically measured clockwise from the north direction.
Given that the transmitter is 13 km west and 21 km south of the phone, we can form a right triangle with the phone as the vertex angle.
The side opposite to the vertex angle represents the north-south direction, and the side adjacent to the vertex angle represents the east-west direction.
Using the tangent function, we can calculate the angle:
tangent(angle) = (opposite side) / (adjacent side)
tangent(angle) = 21 km / 13 km
Taking the inverse tangent (arctan) of both sides, we find:
angle = arctan(21 km / 13 km)
Evaluating this using a calculator, we find the angle to be approximately 58.57 degrees.
However, since the bearing is measured clockwise from the north, we need to subtract this angle from 90 degrees (which represents the north direction) to obtain the bearing:
bearing = 90 degrees - 58.57 degrees
Calculating this, we find the bearing to be approximately 31.43 degrees.
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find the midpoint, M, of AB
To answer what the midpoint of AB is simply replace the values in the formula to find the coordinates of the midpoint.
In this case these are (2 + 4) / 2 = 3 and (6 + 18) / 2 = 12. So (xM, yM) = (3, 12) is the midpoint of the segment defined by A and B.
Given IQ scores are approximately normally distributed with a mean of 100 and a standard deviation of 15, the proportion of people with IQs above 130 is
The proportion of people with IQs above 130 is 2.3%.
How to calculate the value?Normal distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.
Here the mean is 100 and a standard deviation of 15.
µ = 100, σ = 15
P(X > 130) =
= P( (X-µ)/σ > (130-100)/15)
= P(z > 2)
= 1 - P(z < 2)
Using excel function:
= 1 - NORM.S.DIST(2, 1)
= 0.023 = 2.3%
The value is 2.3%.
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What is the value of 1 in 2.391
Answer:
0.001 (one thousandth)
Step-by-step explanation:
hope this helps
Answer:
1 thousandth
Step-by-step explanation:
2 is in the ones place, 3 is in the tenths place, 9 is in the hundredths place, 1 is in the thousandths place.
Hope it helps!
Which equation models the following word problem?Find the measure of an angle if its supplement is 62 less than three timesits complement.
We let x be the measure of the angle we are looking for in this problem.
A supplement means that the sum of two angles is equal to 180 degrees. This means that the supplement of the angle x is written as 180 - x. This expression now represents the left-hand side of the equation.
A complement means that the sum of two angles is equal to 90 degrees. This means that the complement of the angle x is represented as 90 - x.
It is stated in the problem that the supplement is 62 less than three times its complement. This will represent the right-hand side of our equation.
For three times the complement, we multiply 3 to 90 - x, getting the expression 3(90-x).
It is also stated that the supplement is 62 less than the obtained expression above, meaning, we have 62 - 3(90-x).
The mathematical equation can now be rewritten as:
\(180-x=62-3(90-x)\)Answer: 180 - x = 62 - 3(90-x)
Please helpppp me. Will give Brainlyist
In each rule , copy the chart and fill in the missing parts
Answer:
7. 14
15. 30
28. 56
32. 64
18 36
x 2x
1/2y. y
2x. 4x
x+3 2x+9
Step-by-step explanation:
each out is double the in
In 2003, a particular company had 1088 stores and in 2007 there were 1058 stores. Write a linear equation that gives the number of stores in terms of the year. Let t = 3 represent 2003.
y(t) =
Predict the number of stores for the years 2012 and 2014. (Round your answers to the nearest whole number.)
2012 stores
2014 stores
Are your answers reasonable? Explain.
Yes, the number of stores decreases as t decreases.
No, the number of stores increases as t decreases.
No, this company will always have stores.
Yes, the number of stores decreases as t increases.
No, the number of stores increases as t increases.
The equation is y(t) = yo) e^-kt =
1058 = 1088e^-3k and yes my answer is reasonable , the number of store decreases as t increases
What is exponential function?An exponential function is a Mathematical function in the form f (x) = ax, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.
using the formula;
p(t) = p(o) e^-kt
1058 = 1088e^-3k
e^-3k = 1058/1088
e^-3k = 0.972
-3k = ln 0.972
k = -0.03/-3
k = 0.01
when t = 8
p(t) = 1088e^-kt
= 1088e^-0.08
p(t) = 1088× 0.923
p(t) = 1044
in 10 years
p(t) = 1088e^-0.1
p(t) = 984
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Find a quadratic polynomial with integer coefficients which has the following zeros
A quadratic polynomial with integer coefficients is,
p(x) = x² + 6x + (17√21)/49.
A quadratic equation is an algebraic expression in the form of variables and constants.
A quadratic equation has two roots as its degree is two.
Given, The roots of the quadratic equation is x = 2/7, ± √21/7.
Let, p(x) = x² + bx + c.
p(x) = (x + 2/7 + √21/7)(x - 2/7 + √21/7).
p(x) = x² - (2/7)x + (√21/7)x + (2/7)x - (4/49) + 2√(21/49) + (√21/7)x - 2√21/49 + 21/49.
p(x) = x² + 2(√21/7)x + 21/49 - 4/49.
p(x) = x² + {(2√21)x}/7 + 17/49.
p(x) = x² + (42/7)x + (17√21)/49.
p(x) = x² + 6x + (17√21)/49.
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I’m stuck but the next drop down is above or below
Answer:
less; below
Step-by-step explanation:
We can change both fractions to improper fractions first for easier comparison.
-\(\frac{7}{5}\) = -
-1\(\frac{1}{5}\) = -\(\frac{5}{5}\) -
-1\(\frac{1}{5}\) = -\(\frac{6}{5}\)
As you can see, -\(\frac{7}{5}\) has a higher absolute value but both fractions are negative so it has a lesser value than -\(\frac{6}{5}\) and thus would also be below -\(\frac{6}{5}\).
Give the first six terms of the following sequences. A.The first term is 1 and the second term is 2. The rest of the terms are the product of the two preceding terms. B..a_1, a_2 = 5, and a_n = 2 times a_n - 1 + 3 times a_n - 2 for n greaterthanorequalto 2. C.g_1 = 2 and g_2 =1. The rest of the terms are given by the formula g_n = n times g_n - 1 + g_n-2.
The first 6 terms of the given sequences are for A: 1, 2, 2, 4, 8, 16
for B: 5, 5, 17, 59, 177, 521, and for C: 2, 1, 3, 6, 15, 45
A. The 1st sequence is a geometric sequence, where each term is the product of the two preceding terms. The 1st term is 1, the 2nd term is 2, and the rest of the terms are calculated as below:
a3 = a1 * a2 = 1 * 2 = 2
a4 = a2 * a3 = 2 * 2 = 4
a5 = a3 * a4 = 2 * 4 = 8
a6 = a4 * a5 = 4 * 8 = 16
So, the first six terms of the sequence are 1, 2, 2, 4, 8, and 16.
B. The 2nd sequence can be calculated by using the formula
an = 2 * an - 1 + 3 * an - 2 for n greater than or equal to 2. The 1st term a1 is 5 and the 2nd term a2 is 5, so the rest of the terms are calculated as below:
a3 = 2 * a2 + 3 * a1 = 2 * 5 + 3 * 5 = 17
a4 = 2 * a3 + 3 * a2 = 2 * 17 + 3 * 5 = 59
a5 = 2 * a4 + 3 * a3 = 2 * 59 + 3 * 17 = 177
a6 = 2 * a5 + 3 * a4 = 2 * 177 + 3 * 59 = 521
So, the first six terms of the sequence are 5, 5, 17, 59, 177, and 521.
C. The 3rd sequence follows the formula gn = n * gn - 1 + gn - 2. The 1st term g1 is 2 and the 2nd term g2 is 1, so the rest of the terms are calculated as below:
g3 = 3 * g2 + g1 = 3 * 1 + 2 = 5
g4 = 4 * g3 + g2 = 4 * 5 + 1 = 21
g5 = 5 * g4 + g3 = 5 * 21 + 5 = 110
g6 = 6 * g5 + g4 = 6 * 110 + 21 = 786
So, the first six terms of the sequence are 2, 1, 3, 6, 15, and 45.
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Find out the area and circumference of a circle of diameter 50cm
Step-by-step explanation:
d=2r.
50=2r
r=50/2
r=25cm.
circumference of circle =2πr
=2×22/7×25
=157cm(approx)
area of circle=πr²
=22/7×(25)²
=704cm
How many tiles can fit in a rectangular floor with length 14 ft and width 6 ft if the the square tiles has an edge of 3/4 ft.
A rectangular floor with a length of 14 ft and a width of 6 ft, square tiles with an edge length of 3/4 ft, a total of 144 tiles can fit.
To determine how many square tiles can fit in a rectangular floor, we need to calculate the total number of tiles that can fit both horizontally and vertically.
Given:
Length of the rectangular floor = 14 ft
Width of the rectangular floor = 6 ft
Edge length of square tile = 3/4 ft
First, let's calculate the number of tiles that can fit horizontally:
Length of the rectangular floor / Edge length of square tile = 14 ft / (3/4 ft) = 14 ft × (4/3 ft) = 56/3 ft
Since we want a whole number of tiles, we need to round down or take the floor value:
Number of tiles horizontally = floor(56/3) = 18 tiles
Next, let's calculate the number of tiles that can fit vertically:
Width of the rectangular floor / Edge length of square tile = 6 ft / (3/4 ft) = 6 ft × (4/3 ft) = 24/3 ft
Again, we round down or take the floor value:
Number of tiles vertically = floor(24/3) = 8 tiles
To find the total number of tiles, we multiply the number of tiles horizontally by the number of tiles vertically:
Total number of tiles = Number of tiles horizontally × Number of tiles vertically = 18 tiles × 8 tiles = 144 tiles
Therefore, in a rectangular floor with a length of 14 ft and a width of 6 ft, square tiles with an edge length of 3/4 ft, a total of 144 tiles can fit.
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The weight of tigers follow a normal distribution with a mean of 220 kg and a SD of 30 kg. 1) If we randomly select a tiger, what is the probability that his weights is less than 258 kg
Answer:
0.89736
Step-by-step explanation:
We solve this question using z score formula
Z score = x - μ/σ
x = raw score
μ = population mean
σ = population standard deviation
Hence,
x = 258, μ = 220, σ = 30
Z = 258 - 220/30
=1.26667
Probability value from Z-Table:
P(x<258) = 0.89736
Therefore, the probability that his weights is less than 258 kg is 0.89736
Which fraction is represented by point a on the number line
Answer:
the Answer is B
Step-by-step explanation:
Simplify the expression below.
Answer:
c or b
Step-by-step explanation:
Calculator
cm
n
8 cm
This figure represents a small paperweight. The plan is to cover
20% of the total surface area, including the bottom face, of the
paperweight with stickers.
15 cm
How much surface area will be covered with stickers?
10 cm
223.8 cm
11 cm
17 cm
895.2 cm?
1119 cm
5595 cm
1
2
3
4
5
Answer:
223.8
Step-by-step explanation:
I failed the test to get the answer
Answer:
the answer is 223.8
Step-by-step explanation:
Please no links!! Can’t open them! Thanks
Answer 2 questions about Equations A and B 4x+2=6-x 5 x+2=6
On an architect's blueprint, 1 inch corresponds to 4 feet. Find the length of a wall represented by a line 1 inches long on the blueprint
The length of wall in real life is 4 feet.
Given that on an architect's blueprint, 1 inch corresponds to 4 feet.
In this architect's plan, a wall represented by a line 1 inches long on the blue print.
So, the length of wall in real life is = 4 feet.
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Answer:
4ft
Step-by-step explanation:
If 1 inch corresponds to 4 ft on the blueprint. The ratio is 1 inch on the blue print for every 4 ft in real life.
Which of the following expressions represents the statement “One half the sum of x and y”?
a. 0.5(x=y)
b. 1/2(x+y)
c. x+y/2
The expression 1/2(x + y) is representing one-half the sum of x and y option (b) 1/2(x+y) is correct.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
It is given that:
“One-half the sum of x and y”
Here x and y are the real numbers.
A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.
The sum of the x and y is (x + y)
The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
One-half the sum of x and y = 1/2(x + y)
Thus, the expression 1/2(x + y) is representing one-half the sum of x and y option (b) 1/2(x+y) is correct.
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Write an explicit formula for the recursive formula.
A(n) = A(n-1)+ 4.8; A(1)= 7.2
Choose the correct formula below.
O A. A(n) = 7.2+(n - 1)4.8
OB. A(n)=4.8+ (n - 1)7.2
O c. A(n) = A(n-1) + (n-1)4.8+ 7.2
O D. A(n) = 7.2 +4.8n
Answer: A
Step-by-step explanation:
We can recognize this as an arithmetic sequence with first term 7.2 and common difference 4.8
180 °
X °
26 °
X = ? °
Answer:
X = 64
Step-by-step explanation:
All of the angles are right angles (because of the square at one of the angles shown above). This means each angle equals 90 degrees. If X + 26 = 90, then X = 64 because 90 - 26 = 64. I hope this helps!
Answer: X = 64
Step-by-step explanation:
Josie is 11 years older than Macy. What is an equation
that relates the age of Josie J and the age of Macy M?
Answer:
J+11=M
Step-by-step explanation:
What ever age MAcy is Josie is 11 years older than Macy I think the equation is correct sometimes I struggle with those.