Answer:
y-intercept= (0,7) and rate of change=
Step-by-step explanation:
The y-intercept of a graph is the point on the graph where it intersects the y-axis or where x=0. In this case it is (0,7) so that is the y-intercept. The rate of change is equal to y2-y1 divided by x2-x1. Basically, just pick 2 random points on the line and subtract their y coordinates, then subtract their x-coordinates and divide the answers with each other. So, one point is (0,7) and another point is (2,4). Therefore, rate of change is 7-4 divided by 0-2. This gives us a rate of change of -3/2
In ANOVA terminology, the number in front of the word "way" refers to _________________.
a. the total number of groups.
b. the total number of levels
c. the total number of independent variables.
d. the total number of dependent variables.
Answer:
Step-by-step explanation
D
Pls I need help with trig! number 17 only
Answer:
True
Step-by-step explanation:
For three side lengths to form a triangle, the sum of the two smaller side lengths must be greater than the third side length. Otherwise, the sides would not be able to reach each other.
\(2\sqrt{29}\approx10.77<10+4\)
Therefore, these three segments can form a triangle. Hope this helps!
Answer the following questions about this figure.
PLS HELP ME
Answer:
143
Step-by-step explanation:
First, figure out the measurement of angle 2. Take 180 degrees (the total of the triangle) and subtract 90 (the right angle) and 53 (the given measurement of angle 1). 180-90-53=37
Angle 2 measures 37 degrees. The measurements of angles 2 and 3 need to equal 180 when added together as they form a straight line, so take the total (180) and subtract the value of angle 2 (37). 180-37=143
Angle 3 measures 143 degrees
Evaluate: 54.25÷6.2−3.8
Answer:
4.95
Step-by-step explanation:
Practice and studying LOL caculator
Pleaaaaaaaaaaaaaaaaaaaaaaase help me
Answer:
It would be the first one
Step-by-step explanation:
Start at 0 and the end shows 2.5
Find the value of x. Round to
the nearest tenth.
17°
47
X = [
The answer to nearest tenth is 45.0
may someone help me please.
Answer:
c
Step-by-step explanation:
i think
i need the answer asap
Answer:
(a) 1.353 x 10^9
Step-by-step explanation:
Jumping 9 places back to obtain standard form
Need help asap please
Answer: it is B. 39t + 54
Step-by-step explanation:
9(4t + 6) + 3t --- (distribute the 9 to 4t and 6 (9(4t) + 9(6))
36t + 54 + 3t --- (combine like terms, 36t + 3t)
39t + 54
use the midpoint rule with the given value of n to approximate the integral. round the answer to four decimal places. 80 0 sin( x ) dx, n = 4
The approximate value of the integral ∫₀⁸₀ sin(x) dx using the midpoint rule with n = 4 is approximately 47.586.
To approximate the integral ∫₀⁸₀ sin(x) dx using the midpoint rule with n = 4, we divide the interval [0, 80] into 4 subintervals of equal width.
First, we need to determine the width of each subinterval. The total width of the interval is 80 - 0 = 80. Since we have n = 4 subintervals, each subinterval has a width of 80 / 4 = 20.
Next, we evaluate the function sin(x) at the midpoints of each subinterval and multiply it by the width of the subinterval. Then we sum up these values to approximate the integral.
The midpoints of the subintervals are:
x₁ = 10
x₂ = 30
x₃ = 50
x₄ = 70
Now, we evaluate sin(x) at these midpoints:
f(x₁) = sin(10)
f(x₂) = sin(30)
f(x₃) = sin(50)
f(x₄) = sin(70)
Using the midpoint rule, we can approximate the integral as follows:
Approximation ≈ (20 * f(x₁)) + (20 * f(x₂)) + (20 * f(x₃)) + (20 * f(x₄))
Approximation ≈ (20 * sin(10)) + (20 * sin(30)) + (20 * sin(50)) + (20 * sin(70))
Approximation ≈ 20 * (sin(10) + sin(30) + sin(50) + sin(70))
Approximation ≈ 20 * (0.1736 + 0.5 + 0.766 + 0.9397)
Approximation ≈ 20 * 2.3793
Approximation ≈ 47.586
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the smallest score in a population is x = 5 and the largest score is x = 10. based on this information, you can conclude that the____.
Based on the information that the smallest score in a population is x=5, and the largest score is x=10, the conclusion is that the standard deviation is going to be smaller than the range of scores.
Given that in a population, the smallest score is x=5, and largest score is x=10, the range of scores is:
Range of scores=largest score-lowest score
=10-5
=5
Here the range of scores is 5, and the mean of the scores is likely to be between 5 and 10
Standard deviation which refers to the average spread of the distribution, will now be considered to be smaller since the range of scores is low.
Because standard deviation is found from the mean, if the mean is between x=5 and x=10, the standard deviation must be lower than x=5.
Hence, smaller than the range of scores.
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what is the sum of the measures of the interior angles of a hexagon
Answer:
Hexagon has 6, so we take 540+180=720. A heptagon has 7 sides, so we take the hexagon's sum of interior angles and add 180 to it getting us, 720+180=900 degrees.
a group of children held a grape-eating contest. when the contest was over, the winner had eaten grapes, and the child in -th place had eaten grapes. the total number of grapes eaten in the contest was . find the smallest possible value of . a group of children held a grape-eating contest. when the contest was over, the winner had eaten grapes, and the child in -th place had eaten grapes. the total number of grapes eaten in the contest was . find the smallest possible value of .
The smallest possible value of the total number of grapes eaten in the contest is the product of (n-1) and the number of grapes eaten by the child in last place, plus the number of grapes eaten by the winner.
The smallest possible value of the total number of grapes eaten in the contest is (n-1)*(grapes eaten by the child in last place) + (grapes eaten by the winner). So for example, if the winner had eaten 10 grapes and the child in last place had eaten 5 grapes, the total number of grapes eaten in the contest would be (n-1)*5 + 10 = 45.
The smallest possible value of the total number of grapes eaten in the contest is the product of (n-1) and the number of grapes eaten by the child in last place, plus the number of grapes eaten by the winner.
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f(4) =
If g(x) = 2, x =
Sososos
Step-by-step explanation:
The point P = (-5/3 squared, y) lies on the unit circle shown below. What is the value of
y in simplest form?
The required value of y for the unit circle is: 2/3
How to find the point on the unit circle ?The circle is defined as the locus of a point whose distance from a fixed point is constant i.e center (h, k).
The equation of the circle is given by:
(x - h)² + (y - k)² = r²
where:
h, k is the coordinate of the center of the circle on coordinate plane.
r is the radius of the circle.
Here,
Equation of the unit circle is given as,
x² + y² = 1
Now substitute the given value in the equation,
5/9 + y² = 1
y² = 1 - 5/9
y² = 4/ 9
y = √(4/9)
y = 2/3
Thus, the required value of y for the unit circle is 2/3
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What are the zeros of the function below? Check all that apply.
F(X) =(x + 3)(x - 1)/(x-2)(x + 2)
A. 2
B. -2
C. 3
D. -3
E. 1
F. -5
Answer:
-3 and 1
Step-by-step explanation:
The zeros of the given function are -3 and 1.
What are zeros of a function?The zeros of a function, also referred to as roots or x-intercepts, are the x-values at which the value of the function is 0 (f (x) = 0). The zeros of a function can be thought of as the input values that result in an output of 0.
Given is a function f(x) = (x + 3)(x - 1)/(x-2)(x + 2),
We need to find the zeros of the function,
Equate to 0,
(x + 3)(x - 1)/(x-2)(x + 2) = 0
Therefore,
(x + 3)(x - 1) = 0
x+3 = 0 and x-1 = 0
Therefore,
x = -3, x = 1
Hence, the zeros of the given function are -3 and 1.
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Here’s Question three
Answer:
BD = 3 units
Step-by-step explanation:
Since, AD is an angle bisector of ∠BAC,
m∠BAD = m∠CAD = 20°
CD = 3 units
In ΔACD and ΔABD,
m∠BAD = m∠CAD = 20° (Given)
AD ≅ AD [Reflexive property]
Therefore, by H-A property of congruence both the triangles will be congruent.
And by CPCTC,
CD ≅ BD = 3 units
a recipe uses 1/4 cup of water and 2 cups of flour.write the ratio of water to flour.then find the value of the ratio
The ratio of water to flour in the recipe is 1 : 8. This means that for every 1 unit of water, we need 8 units of flour in the recipe.
In the given recipe, the amount of water used is 1/4 cup and the amount of flour used is 2 cups. The ratio of water to flour in the recipe can be expressed as a fraction, where the numerator is the amount of water used and the denominator is the amount of flour used. This gives the ratio of water to flour as 1/4 : 2.
To simplify the ratio, we can find the common factor that will eliminate the fractional value of water. In this case, we can multiply both sides of the ratio by 4 to get 1 : 8. This means that for every 1 unit of water, we need 8 units of flour in the recipe.
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PLEASE ANSWER ASAP TY
In triangle ABC below, BD is the altitude. Find the length of DC. Leave your answer in
simplified radical form.
Answer:
Step-by-step explanation:
Step 1: Find AB Use Pythagoras Theorem
AB = \(\sqrt{AC^{2} -BC^{2} } = \sqrt{12^{2} -8^{2} } = \sqrt{80}\)
Step 2: Find the Area of the triangle ABC
Area = \(\frac{1}{2}AB.BC = \frac{1}{2}\sqrt{80}.8 = 4\sqrt{80}\) = \(16\sqrt{5}\)
Step 3: Find BD. Use the area of the triangle above
Area = \(\frac{1}{2}BD.AC\)
We already known the Area and AC so, we just plug all the number in
BD = \(\frac{2. Area}{AC}\) = \(\frac{2.16\sqrt{5}}{12}\) = \(\frac{8\sqrt{5}}{3}\)
Step 4: Find DC. Use Pythagoras Theorem of the triangle BDC
DC = \(\sqrt{BC^{2}-BD^{2} }\) = \(\sqrt{8^{2}-(\frac{8\sqrt{5}}{3})^{2}}\) = \(\frac{16}{3}\)
If $7,500 investment earns $450 over 3 years what's the interest rate
Answer:
Rate is 2%
Step-by-step explanation:
Step one:
given data
Principal= $7500
Simple interest= $450
time=3 years.
Applying the simple interest formula which is
SI=PRT/100
Step two:
substitute we have
450=7500*R*3/100
cross multiply we have
45000=22500R
divide both sides by 22500
R=45000/22500
R=2%
The diagram shows an open rectangular box ABCDEFGH.
A straight stick AGM rests against A and G and extends outside the box to M.
a. Calculate the angle between the stick and the base of the box.
b. AM= 30 cm.
Show that GM= 4.8 cm, correct
to 1 decimal place.
The angle between the stick and the base of the box is 77. 9 degrees
How to determine the angleTo determine the angle between the stick and the base, we have to know the trigonometric identities.
These identities are;
sinecosinecotangenttangentsecantcosecantFrom the information given, we have;
sin A = FB/AB
Given that;
GB = 14.5cm
AB = 18. 6cm
substitute for the length of the sides, we have;
sin A = 14.5/18. 6
Divide the values, we have;
sin A = 0. 7796
Find the inverse sine
A = 77. 9 degrees
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Point K is on line segment JL. Given
KL=6 and JL
8, determine the
length JK.
Answer: JK: =
=
Answer: JK=2
Step-by-step explanation:
JL=JK+KL
8=JK+6
JK=2
PLEASE HELP WILL GIVE BRAINLIEST!! If K is the midpoint of JL, JK=9x-1, and KL=2x+27, find JL.
A. 35
B. 70
C. 62
D. 48
Answer:
A, 35
Step-by-step explanation:
9x - 1 = 2x + 27
7x - 1 = 27
7x = 28
7x/7 = 28/7
x = 4
and now we plug it in,
9x - 1
9(4) - 1
36 - 1
35
and for the second point,
2x+27
2(4)+27
8+27
35
Hope this helps. Sorry this is a late response.
Help I’m stuck!!!! Solve the equation below for x. Enter your answer as a fraction in lowes
terms, using the slash mark (/) as the fraction bar. 4/21 + 2/9
X=
Answer:
26/63
Step-by-step explanation:
Try to make the denominators equal so that you can add them:
4(3)/21(3)= 12/63
2(7)/9(7)= 14/63
And now you add, which will give you:
12/63 + 14/63= 26/63
a piece of lumber is 2 1/4 ft long is cut into 3 equal pieces .How long will each piece of cut wood be ?
Answer: Each piece would be 3/4 feet long
Step-by-step explanation:
If the piece of lumber is 2 1/4 ft long, and it is cut into 3 pieces then divide
2 1/4 by 3 to find out how long each piece of cut wood would be.
2 1/4 is the same as 9/4
\(\frac{9}{4} / \frac{3}{1}\) = 9/12 which also simplifies to 3/4
A cylinder of mass m and radius r has a moment of inertia of 1/2mr squared. The cylinder is released from rest at a height h on an without slipping. What is the velocity of the cylinder when it reaches the bottom of the incline?
The velocity of the cylinder when it reaches the bottom of the incline is v = sqrt(4gh/3).
The velocity of the cylinder when it reaches the bottom of the incline can be calculated using the principle of conservation of energy. The velocity of the cylinder is given by the formula v = sqrt(2gh/(1+I/(mr^2))), where g is the acceleration due to gravity, h is the height of the incline, and I is the moment of inertia of the cylinder.
In this case, the cylinder is released from rest at a height h on an incline without slipping, which means that all the potential energy at the top of the incline is converted to kinetic energy at the bottom of the incline. Therefore, we can write:
1/2 mv^2 = mgh
where v is the velocity of the cylinder at the bottom of the incline.
The moment of inertia of the cylinder is given as 1/2mr^2. Substituting this into the formula for v and simplifying, we get:
v = sqrt(2gh/(1+1/2)) = sqrt(4gh/3)
Therefore, the velocity of the cylinder when it reaches the bottom of the incline is v = sqrt(4gh/3).
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Let Z+ be the set of positive integers. Let R be a binary relation on Z + ×Z + defined by (w,x)R(y,z) if and only if w divides y and x≡z(mod2). Is R reflexive? Is R symmetric? Is R antisymmetric? Is R transitive? [Fully justify each answer.]
The relation R is reflexive and antisymmetric, but not symmetric. It is also transitive.
Reflexivity: For R to be reflexive, every element (a, b) in Z+ × Z+ must be related to itself, i.e., (a, b) R (a, b). In this case, a must divide a, which is always true, and b ≡ b (mod 2), which is also always true. Therefore, R is reflexive.
Symmetry: For R to be symmetric, whenever (a, b) R (c, d), then (c, d) must also R (a, b). In this case, if a divides c and b ≡ d (mod 2), then c must divide a for symmetry to hold. However, divisibility is not necessarily symmetric, so R is not symmetric.
Antisymmetry: For R to be antisymmetric, if (a, b) R (c, d) and (c, d) R (a, b), then it must be the case that (a, b) = (c, d). In this case, if a divides c and b ≡ d (mod 2), and c divides a and d ≡ b (mod 2), it follows that a = c and b = d. Therefore, R is antisymmetric.
Transitivity: For R to be transitive, if (a, b) R (c, d) and (c, d) R (e, f), then (a, b) R (e, f). In this case, if a divides c and b ≡ d (mod 2), and c divides e and d ≡ f (mod 2), it follows that a divides e and b ≡ f (mod 2). Therefore, R is transitive.
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The statement says that you’ve triggered the penalty apr so that it has now increased to 28. 99%. What action triggered this?.
The statement says that you've triggered the Penalty APR so that it has now increased to 28.99%. What action triggered this? You failed to pay the minimum payment by the due date.
You failed to make the minimum payment by the due date. This is an action that can result in a message that "you've triggered the Penalty APR so that it has now climbed to 28.99%."
A charge APR is a charge that can be applied if you don't pay your bills on time. It may be set up so that future transactions may be subject to a penalty APR that is higher than the card's standard rate.
If the minimum payment was not made by the due date, Penalty APR would be applied.
But if the card also has a penalty APR and you trigger it, you will likely lose that promotional offer. Federal consumer protections that limit penalty APRs don't apply to small-business credit cards. That means issuers can be more punitive, such as applying penalty APRs sooner than 60 days after not making payments.
Therefore,
The statement says that you've triggered the Penalty APR so that it has now increased to 28.99%. What action triggered this? You failed to pay the minimum payment by the due date.
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Twice a number minus 4 equals twelve. Find the #
answer:
8
explanation:
8 x 2 = 16
16 - 4 = 12
Answer:
8
explanation:
8 x 2 = 16
16 - 4 = 12
What is the domain of the function y=%/x-1?
O-
o -1 < x < oo
0
O 1
Answer:
\(-\infty < x < \infty\)
Step-by-step explanation:
Given
\(y = \sqrt[3]{x - 1}\)
Required
The domain
The given function is cubic root; there are no restrictions on cubic root functions
Hence, the domain is:
\(-\infty < x < \infty\)