Answer:whole
Step-by-step explanation:
a whole number and a fraction make a mixed number.
what is the answer?
Answer:
x^2 - 5x - 6 = (x - 2)(x - 3).
Step-by-step explanation:
f(x) = x^2 - 5x - 6
We need 2 numbers whose product is - 6 and whose sum is -5. They are -3 and -2:
The factors are x- 2 and x - 3.
Answer:
x-6
Step-by-step explanation:
Find the equation of the line specified. The slope is 7, and it passes through ( 3, -1).
Answer:
7
Step-by-step explanation:
5 plus 1 plus 1 =7
Answer:
y=7x-22
Step-by-step explanation:
-1=7(3)-22
-1=21-22
-1=-1
Done!
help plzzz just this
Answer: M=6
Step-by-step explanation:
Pick two x coordinates subtract them pick two y coordinates, subtract
1. An airline claims that 90% of lost luggage is recovered and delivered to its owner within
24 hours. A researcher is skeptical of this claim and believes this percentage is too high.
She writes her null hypothesis as being "p>0.90." What is wrong with this?
A. Nothing is wrong.
B. The null hypothesis should be p < 0.90.
C. The null hypothesis should be p = 0.90.
D. The null hypothesis should be two-sided.
E. We cannot determine what might be wrong without knowing more details about
the sample size and the sample proportion.
What is wrong with her null hypothesis is that it must contain an equal to sign and in this case; C. The null hypothesis should be p = 0.90.
What is the Null Hypothesis?The null hypothesis is defined as a typical statistical theory that tells us that no statistical relationship and significance exists in a particular set of single observed variable, which is between two sets of observed data and measured phenomena.
Now, it is pertinent to note that the null hypothesis always includes the equal sign. The decision is usually based on the null hypothesis.
Now, we are told that an airline claims that 90% of lost luggage is recovered and delivered to its owner within 24 hours. A researcher is skeptical of this claim and believes this percentage is too high.
Therefore, the null hypothesis is;
H₀ : p = 0.90
While the alternative hypothesis is;
Hₐ: p < 0.9
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How do you describe rational and irrational?
Rational and Irrational numbers can described as the number that can be expressed as \(\frac{p}{q}\) are rational and which cannot be expressed are called as Irrational Numbers .
The Rational Numbers are defined as a number that can be represented in the form of \(\frac{p}{q}\) where \(q\neq 0\).
We can also , say that the fraction where the denominator and the numerator are integers and the denominator is not equal to zero are called as Rational Numbers .
For Example : \(\frac{2}{3} , \frac{4}{9}\) represents a rational numbers .
The Irrational Numbers are defined as a real number that cannot be expressed as a ratio of integers .
For Example : \(\sqrt{2} , \sqrt{5}\) represents a Irrational number .
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jenny ran the 100 yards dash in 25 seconds how many feet could jenny run each second? explain your work (1 yard=3 feet)
Solve for x. 91=29^x
Round to the nearest hundredths.
The solution to the equation 91 = 29^x is approximately x ≈ 1.08.
To solve for x in equation 91 = 29^x, we need to isolate the variable x. Here's the step-by-step process:
Add 150 to both sides of the equation to get rid of the constant term:
91 + 150 = 29^x + 150
Simplify the equation:
241 = 29^x + 150
Subtract 150 from both sides:
241 - 150 = 29^x
Simplify further:
91 = 29^x
Now, we can solve for x by taking the logarithm of both sides of the equation with base 29. Using the logarithm property log_b(a^c) = c * log_b(a), we have:
log_29(91) = x
Using a calculator or logarithm table, we can find that log_29(91) ≈ 1.08.
Therefore, the solution to the equation 91 = 29^x is approximately x ≈ 1.08.
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Identify the correct steps involved in proving p q and (PA) (p ) are logically equivalent. (Check all that apply.) points Check All That Apply Skipped O The first statement p q is true if and only if p and q have the same truth value. eBook Hint O The first statement p q is true if p and q have different truth values. Print O If both p and q are true, ( p a) is true and (p a) is false. This implies that the second statement (p Ad) v (p a ) is true. References O If both p and q are false, then (PAC) is false and (PA ) is true. This again implies that the second statement (PAC) v (p a ) is true. O If both p and q are false, then (PAC) is false and (PA ) is true. This again implies that the second statement (paq) (PA ) is false. O If p is true and q is false, then (PA) is false and (PA ) is true. This again implies that the second statement (paq) (PA ) is false. O Thus, p q and (paq) (p^-) have same truth value; hence, they are logically equivalent.
The correct steps involved in proving p q and (PA) (p ) are logically equivalent are:
The first statement p q is true if and only if p and q have the same truth value.
Thus, if p is true and q is false, then p q is false.
The statement (PA) (p ) is true if and only if both (PA) and p have the same truth value.
If both (PA) and p are true, then (PA) (p ) is true.
If either (PA) or p is false, then (PA) (p ) is false.
Therefore, p q and (PA) (p ) have the same truth value, and hence they are logically equivalent.
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write down a matrix for a shear transformation on r2, and state whether it is a vertical or a horizontal shear.
A shear transformation in R2 is a linear transformation that displaces points in a shape. It is represented by a 2x2 matrix that captures the effects of the transformation. In the case of vertical shear, the matrix will have a non-zero entry in the (1,2) position, indicating the vertical displacement along the y-axis. For the given matrix | 1 k |, | 0 1 |, where k represents the shearing factor, the presence of a non-zero entry in the (1,2) position confirms a vertical shear. This means that the points in the shape will be shifted vertically while preserving their horizontal positions. In contrast, if the non-zero entry were in the (2,1) position, it would indicate a horizontal shear. Shear transformations are useful in various applications, such as computer graphics and image processing, to deform and distort shapes while maintaining their overall structure.
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write the equation of the line that passes through the points (3,5) and (-2,6) Write the answer in point-slope form.
Let's begin by listing out the information given to us:
(x, y) = (3, 5), (-2, 6)
The general equation of a straight line function is given as:
\(\begin{gathered} y=mx+b \\ where\colon m=slope,b=y-intercept \end{gathered}\)We calculate the slope using:
\(\begin{gathered} m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}=\frac{6-5}{-2-3}=-\frac{1}{5} \\ m=-\frac{1}{5} \end{gathered}\)Substitute the slope into the, we have:
\(y=-\frac{1}{5}x+b\)We will proceed to for b, we have:
\(\begin{gathered} y=mx+b \\ m=-\frac{1}{5},(x,y)=(3,5) \\ 5=-\frac{1}{5}(3)+b\Rightarrow5=-\frac{3}{5}+b \\ 5=-\frac{3}{5}+b\Rightarrow b=5+\frac{3}{5} \\ b=\frac{28}{5} \\ y-y_1=m(x-x_1) \\ y-5=-\frac{1}{5}(x-3)\Rightarrow y-5=-\frac{1}{5}x+\frac{3}{5} \\ y-5=-\frac{1}{5}x+\frac{3}{5}(point-slopeform) \\ \end{gathered}\)What is the relationship between angles 1 and 2? AB Is parallel to FG AND BC IS TO DE
Answer:
Angles 1 and 2 are supplementary.
Step-by-step explanation:
<BAC is equal to <FGE, because BC and DE are parallel. So <DGF would be 180° minus angle 1. So, they are supplementary.
Mark me brainliest if possible. Thank you.
Which angles in the picture are NOT supplementary?
2 and 3; 1 and 4
1 and 2; 2 and 3
1 and 3; 2 and 4
4 and 1; 3 and 4
Answer:
1 and 3; 2 and 4
Step-by-step explanation:
Supplementary angles add up to 180 degrees, which is a straight line.
we can see that angles 2 and 3 make the / line, as do 1 and 4
1 and 2 make up the \ line, while, as mentioned above, 2 and 3 make /
4 and 1 is the same as 1 and 4 so they still create / and angles 3 and 4 make the \
A Student bought concert tickets online. The total cost, c, in dollars of t tickets can be found by using the function c=24.50t +9.50. If the student spent a total of $83 on tickets, how many tickets did they buy? *
Answer:
Your answer is: t = 3
83 = 24.5t
73.5 = 24.5t
t = 3
t = tickets
b = 2
m = -2/5
Step-by-step explanation:
Hope this helped : )
How much greater is the surface area of the rectangular prism than the surface area of the cube.
The surface area of the rectangular prism is 18 sq cm greater than the surface area of the cube.
Here, we are given a rectangular prism and a cube as shown in the figure below.
The three sides of the prism are- 2, 3 and 6
Thus, the total surface area of the cube will be-
2 [(2*3) + (3*6) + (6*2)]
= 2[6 + 18 + 12]
= 2*36
= 72 cm square
Now, the side of the cube is 3 cm
Thus, the total surface area of the cube will be-
6( 3*3 )
= 6*9
= 54 cm square
Thus, the difference between the surface area of prism and cube is = 72 - 54
= 18 cm square.
Thus, the surface area of the rectangular prism is 18 sq cm greater than the surface area of the cube.
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Your question was incomplete. Check for the missing figure below.
The given lengths are two sides of a right triangle. All three sides of the triangle form a Pythagorean Triple. Find the length of the third side and tell whether it is a leg or the hypotenuse. 9 and 41
Answer:
40, leg
Step-by-step explanation:
The triangle has side lengths of 9, 40, and 41.
41 is the hypotenuse, so 40 is a leg.
Using the slope and the y-intercept, graph the line represented by the following equation. Then identify the figure showing that graph.
2y+4=0
The graph will be Option C. passing through the point y = -2
The equation of line is y = -2 and the graph will be passing through the point y = -2
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Now , the equation of the line is given by
2y + 4 = 0
Subtracting 4 on both sides , we get
2y = -4
Divide by 2 on both sides , we get
y = -2
Therefore , the equation of line is y = -2
So , the line graph will be having a straight line 2 units down on the negative y-axis
Hence , the equation of line is y = -2 and the graph will be passing through the point y = -2
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6 1/2 divided by 3/4 in simplest form
Answer:
26/3
Step-by-step explanation:
6 1/2 divided by 3/4 = 13/2 divided by 3/4
\(\frac{13}{2} / \frac{3}{4}\\\)
\(=\frac{13}{2} * \frac{4}{3}\)
=\(\frac{26}{3}\)
Terence biked 9 16 of the distance to school in 1 3 hour. If he maintains the same rate, what is the total amount of time he will take to get to school? Step 1: 9 16 ÷ 1 3 = t Step 2: 16 9 · 1 3 = t Step 3: 16 24 = t Step 4: 2 3 hour will be the time taken to get to school.
Answer:
2
Step-by-step explanation:
heeeeeeeeeeeeelppppppppppppppp
Answer:
Step-by-step explanation:
uhhhhhhhhhhhhhhhhhhhhhhhhhh, fudge?
Answer:
Step-by-step explanation:
67
the negative sign can be read as the opposite of?
True or false
Answer:
True the - sign can be read as the opposite of
Step-by-step explanation:
This is true when the problem is written as -(x)
- (x) would be the opposite of x
It is not always read as the opposite of but it can be
What is the distance on the unit circle between successive fourth roots of root3/2 - 1/2i
The distance between successive fourth roots of the complex number √3/2 - 1/2i on the unit circle is 5π/24 units.
To find the distance between successive fourth roots of a complex number on the unit circle, we can use the concept of the angle between the roots. Let's proceed step by step:
The given complex number is √3/2 - 1/2i. This complex number lies on the unit circle because its magnitude is equal to 1.
1. Convert the given complex number to trigonometric form:
√3/2 - 1/2i = cos(θ) + i*sin(θ)
By comparing the real and imaginary parts, we can determine the angle θ:
cos(θ) = √3/2
sin(θ) = -1/2
Using the unit circle, we can find that θ = 5π/6 (or 150 degrees). This angle represents the position of the given complex number on the unit circle.
2. Find the angle between successive fourth roots:
Since we are interested in the fourth roots, we divide the angle θ by 4:
θ/4 = (5π/6) / 4 = 5π/24
This angle represents the angular distance between two successive fourth roots on the unit circle.
3. Calculate the distance between the two points:
To find the distance, we multiply the angular distance by the radius of the unit circle (which is 1):
Distance = (5π/24) * 1 = 5π/24
Therefore, the distance between successive fourth roots of the complex number √3/2 - 1/2i on the unit circle is 5π/24 units.
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can you please answer this quick!
Answer:
a. 3*3-5
=6-5
=1
b. 3*(-2)-5
=-6-5
=-11
c. f(x)=1
or,1=3x-5
or,1+6=x
x=7
given this minitab printout, is the response variable in this multiple regression equation a categorical or a numerical variable?
Given this minitab printout, the response variable in this multiple regression equation is a numerical variable. Multiple regression is a statistical method used to examine the relationship between a dependent variable (also known as the response variable) and two or more independent variables (also known as predictors or explanatory variables).The minitab printout typically shows the coefficient estimates of the regression equation, along with various other statistics such as the R-squared value, standard error, etc. However, it doesn't indicate whether the response variable is categorical or numerical.A response variable is categorical if it can only take on a limited number of discrete values or categories. Examples of categorical variables include gender, occupation, marital status, etc. A response variable is numerical if it can take on any value within a certain range. Examples of numerical variables include age, income, height, etc.In the given minitab printout, the response variable is the variable labeled "Cust_Satisfaction." This variable is measured on a scale from 1 to 100, and therefore, it can take on any numerical value within that range. Hence, we can conclude that the response variable in this multiple regression equation is a numerical variable.
Write the equation of the line in fully simplified slope-intercept form. y intercept = -2 (GIVE EXPLANATION)
Answer:
See Below:
Step-by-step explanation:
So, first of all. to find the equation of the line, the equation has to be in \(y=mx+b\) form. In this for the following are:
\(m\) is the slope of the line\(b\) is the y interceptSolving
So, first of all, to find the equation of the line, we can get two points from the line, you can pick any points you want, but for this case, I will be using (0,-2) and (-2,0).
To solve for the slope, we can use rise over run to find the equation.
\(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)
Upon inserting our points into the equation, we get a slope of -1.
\(\frac{0-(-2)}{-2-0}=\frac{2}{-2}=-1\)
Creating The Equation
To create the equation in \(y=mx+b\) form, we need to know what the intercept and the slope are, for which we solved above. We can now put in the things we found to get our final equation.
\(y=-1x-2\)
We know the slope has to be -1 as we solved for that, and because the line is decending downwards, we can interpret the slope as down 1 right 1.
We know that b is -2 because the y intercept is -2 and b is equal to the y intercept. Therefore the b cation is -2.
Cheers!
Thabo opens an investment account and invest an amount of money at 8. 00% interest per year, compounded monthly. After a number of years, he has accumulated an amount of R 7 365. 00 in the account. The investment earned R2 000. 00 interest in this period. If the accumulated amount is left in the account with the same interest rate, for another period that is one year longer than the first period, the accumulated amount in the account will then be?
The accumulated amount in the account at the end of the second period will be 8,829.71.
We can use the formula for compound interest to solve this problem. The formula is,
A = P(1 + r/n)^(nt)
where A is the accumulated amount, P is the principal (initial amount invested), r is the interest rate (as a decimal), n is the number of times the interest is compounded per year, and t is the time (in years) for which the money is invested.
Let's use this formula to find the initial principal, P
7,365 = P(1 + 0.08/12)^(12*number of years)
We can solve for P by dividing both sides by the right-hand side and simplifying,
P = 7,365 / (1 + 0.08/12)^(12*number of years)
Now we know that the initial principal was P, and it earned R2 000.00 in interest during the first period. Therefore, the accumulated amount at the end of the first period was,
A1 = P + R2 000.00
A1 = P + P(0.08/12)
A1 = P(1 + 0.08/12)
Now, we want to find the accumulated amount at the end of the second period, which is one year longer than the first period. We can use the same formula as before, but with a time of (number of years + 1),
A2 = P(1 + 0.08/12)^(12*(number of years + 1))
We know that A1 = P(1 + 0.08/12), so we can substitute this into the formula for A2,
A2 = A1(1 + 0.08/12)^(12)
A2 = (P(1 + 0.08/12))(1 + 0.08/12)^(12)
A2 = P(1 + 0.08/12)^13
Now we can substitute the expression we found for P earlier,
A2 = (7,365 / (1 + 0.08/12)^(12*number of years))(1 + 0.08/12)^13
A2 = 7,365(1 + 0.08/12)^(12*number of years + 13)
A2 = 7,365(1.007)^((12*number of years) + 13)
A2 = 8,829.71
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PLEASE HELP WITH STEPS DUE BY 4 PM EST
Answer:
9
Step-by-step explanation:
-3 x -2 (aka x) gives you a positive 6 obviously because when you do a negative times a negative you get a positive
6 to the power of 2 is 36, and 36 + 4 = 40.
40/4 = 10 and 10-1=9
I HOPE IT GOT THIS RIGHT FOR YOUUU <3 .
Analyzing a Proof
Complete the statements by choosing the correct
answer from the drop-down menu.
Click here to see a proof of the converse of the
parallelogram angle theorem. As you read through the
proof, look for how to complete the statements on the
right.
M are being used to get the equation in
step 6.
are being used to get the equation in
step 8
are being used to get the equation in
step 9.
In step 14, "similar argument" means to draw segment
and follow the same logic in steps 3-12.
Done
Intro
Answer: Here is the answer!
Step-by-step explanation:
The converse of the parallelogram angle theorem is proved.
What is Parallelogram?A quadrilateral whose two sets of sides are parallel to one another and whose four vertices have angles that are not equal to the right angle is referred to as a parallelogram.
Given:
LM ≅ ON and LO ≅ MN
Also, we know that ∠LNO and ∠NLM are alternative interior angles
and ∠OLN and ∠MNL are alternative interior angles
Then using reflexive property
LN ≅ LN
So, by SSS similarity ΔLNO ≅ ΔNLM
Then, we can write
∠OLN ≅ ∠MNL and ∠LNO ≅ ∠NLM
So, LM || ON and LO || MN which shows LMNO is a parallelogram
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Select the correct answer from the choices given (13 4i) n = 0 what is n? 0 1 –13 4i –13 - 4i
The correct answer from the choices given will be -13 - 4i. The numerical part is the real number while the term containing i is the imaginary part.
What is the complex number?
A complex number is one that both a real and an imaginary component, both of which are preceded by the letter I which stands for the square root of -1.
The given complex number as;
\(\rm 13 + 4 i + n =0\)
By transfeering the left-hand side term to the right-hand side the sign will change. We will get the value of n as;
\(\rm n=-13 - 4i\)
Hence the correct answer from the choices given will be -13 - 4i.
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Answer: Its D and for the second part its B
Step-by-step explanation:
help me due today ASAP
Answer:
He walked for 70 minutes
Step-by-step explanation:
Find the unit rate by dividing 20/4 to get 5. Then you multiply 14x5 and get 70.
Write without negative exponents: (3xy^−3)^−2
The expression \((3xy^{-3})^{-2}\) without negative exponents is \(\frac{y^6}{9x^2}\).
What are some rules of exponents?Some common rules of exponents are
xᵃ×xᵇ = xᵃ⁺ᵇ.
xᵃ/xᵇ = xᵃ⁻ᵇ.
Addition and subtraction of exponents are only possible for the same base value and when the base is different and both have the same exponent we just multiply the bases and write the exponent.
Given, An expression in exponents \((3xy^{-3})^{-2}\).
Now, Changing the place of exponents from the numerator to the denominator or vice versa changes its sign.
Therefore, \((3xy^{-3})^{-2} = 3^{-2}x^{-2}y^{6}\).
\(3^{-2}x^{-2}y^{6} = \frac{y^6}{3^2x^2}\).
\(\frac{y^6}{3^2x^2} = \frac{y^6}{9x^2}\).
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