Let f(x)=x2−3x−4 .
What is the average rate of change from x = 7 to x = 10?
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What is the value of h when the function is converted to vertex form? Note: Vertex form is p(x)=a(x−h)^
2+k . p(x)=x^2−14x+29
The complement of an angle is 8 times as large as the angle. find the measure of the complement
Answer:
80⁰
Step-by-step explanation:
Angle = x
Complement = 90 - x
Given:
8x = 90 - x
9x = 90
x = 10⁰
Complement = 90 - 10 = 80⁰
The complement of an angle is 8 times as large as the angle. The measure of other angle is 80⁰.
What are complementary angles?The complement of an angle is the sum of angles which is equal to 90 degrees.
Let one Angle = x
Complement = 90 - x
The complement of an angle is 8 times as large as the angle.
so,
8x = 90 - x
9x = 90
x = 10⁰
Complement = 90 - 10
= 80⁰
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16. Which of the following are the measures of a right isosceles triangle?
a. 36°, 60°, 90°
b. 40°, 40°, 90°
c. 60°, 60°, 60°
d. 45°, 90°, 45°
17. Of the following triangles, which one is impossible to construct?
a. acute scalene
b. acute equilateral
c. obtuse scalene
d. obtuse equilateral
Solve the following inequality. 2x < 8
The required solution of the given inequality 2x < 8 is x < 4.
What is inequality?The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than’, or < ‘less than’.
Given:
The given inequality is
2x < 8
According to given question we have
Write inequality
2x < 8
Divide both sides by 2 we get,
x < 4
Therefore, the required solution of the given inequality 2x < 8 is x < 4.
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The population of a town is 6500 and is increasing at a rate of 4% per year.at this rate, approximately what will the towns population be in 4 years
To find the town's population in 4 years with an initial population of 6500 and a 4% annual growth rate, we use the exponential growth formula, resulting in an estimated population of approximately 7609.
The population of a town is 6500 and is increasing at a rate of 4% per year. To calculate the town's population in 4 years, we will use the formula for exponential growth:
P(t) = P0(1 + r)^t
Where:
P(t) is the future population
P0 is the initial population
r is the growth rate (as a decimal)
t is the number of years
Step-by-step calculation:
Convert the growth rate from a percentage to a decimal: r = 4% = 0.04
Use the formula with t = 4 years, P0 = 6500, and r = 0.04:
P(4) = 6500(1 + 0.04)⁴
Calculate P(4) = 6500 * 1.04⁴
Approximate the future population after 4 years.
By performing the calculation, the town's population in 4 years will be approximately 7609.
Sarah is shopping for groceries at the local supermarket. She paid for her groceries using a $100 bill recently issued by the US government. What type of money did Sarah use for this transaction? commodity money fiat money digital money representative money
First combined weight of three packages that weigh 5 1/2 pounds 4 7/16 pounds and 3 3/8 pounds
Help me ASAP!!! THANKS!
RANDOM ANSWERS WILL BE MODERATED!
What is the first step to be done when solving this equation: 3(x-2+3) + 5 = 25
urgent help needed!
write y = (-5/8)x + 3 in standard form using integers.
a. 5x + 8y = -24
b. 5x + 8y = 24
c. 5x - 8y = 24
d. -5x + 8y = 24
To write this in standard form, you need to eliminate the fraction in the coefficient of variable x. You can do this by multiplying 8 to the two sides of the equation:
8(y) = 8[(-5/8)x + 3]
8y = -5x + 24
Transpose the variable x to the other side:
5x + 8y = 24
Anslee is designing a doll house shaped like a rectangular prism. The doll house is 8 feet long, 2 feet wide and 3 feet high. What is the surface area of the doll house?
There are 6 speakers at a conference: Ms. Sally, Ms. Elaine, Ms. Boo-Koo, Mr. Adam, Mr. Jones, and Mr. Tall. In how many ways can we order the speakers so that Mr. Adam doesn’t speak first?
there are four brands of smartphones that are most popular in the united states . the number of people in the united states that have each brand is given.
brand A; 4.48x104;
brand b : 3.84 x107; brand c : 6.4x10^6; brand d: 1.50 x107
what is the order of these brands from most to least popular?
For this case we must write the numbers from highest to lowest.
We observe that the numbers are written in exponential notation.
Therefore, by rewriting we have:
Brand A:
[tex] 4.48 * 10 ^ 4 = 44,800
[/tex]
Brand B:
[tex] 3.84 * 10 ^ 7 = 38,400,000
[/tex]
Brand C:
[tex] 6.4 * 10 ^ 6 = 6,400,000
[/tex]
Brand D:
[tex] 1.50 * 10 ^ 7 = 15,000,000
[/tex]
Ordering from highest to lowest we have:
[tex] 3.84 * 10 ^ 7 = 38,400,000
1.50 * 10 ^ 7 = 15,000,000
6.4 * 10 ^ 6 = 6,400,000
4.48 * 10 ^ 4 = 44,800
[/tex]
Answer:
The order of these brands from most to least popular is:
Brand B
Brand D
Brand C
Brand A
A support beam to be placed at a 28° angle of elevation so that the top meets a vertical beam 1.6 meters above the horizontal floor. Thanks vertical beam meets the floor at a 90° angle.
Law of sin: sin(A)/a=sin(B)/b=sin(C)/c
Approximately how far the vertical beam should the lower end of the support be placed along the horizontal floor
A)3.0 meters
B)3.4 meters
C)3.9 meters
D)4.4 meters
Answer:
B.
Step-by-step explanation:
Match the reasons with the statements in the proof.
1. j||k, m∠3 = m∠1
If alternate interior angles are =, then lines are ||.
2. m∠1 = m∠2
Substitution
3. m∠2 = m∠3
Given
4. l||m
If lines are ||, then corresponding angles are =.
Answer:
1-given
2-if lines are parallel, then corresponding angles are equal
3-Substitution
4-if alternate interior angles are equal then lines are parallel.
Step-by-step explanation:
Given j is parallel to k,[tex]m\angle3 =m\angle 1[/tex]
We have to prove that line l is parallel to m
We have to match reason with its correct statement in given proof.
1.j is parallel to k,[tex] m\angle 3=m\angle 1[/tex]
Reason:given
2.[tex]m\angle 1=m\angle 2[/tex]
Reason:if the lines are parallel , then corresponding angles are equal.
3.[tex]m\angle 2=m\angle 3[/tex]
Reason: substitution
4.line l is parallel to m
Reason: If alternate interior angles are equal ,then lines are parallel.
Answer for number 5?
Hint: Omars equation doesn't work!
Identify his error and correct it by showing the steps Omar should have taken and determine the correct value of x.
Sarah draws a rectangle with an area of 4,875 square units and a length of 65 units. What is the width of the rectangle? 70 units 75 units 85 units 95 units
Mia’s work to find the slope of a trend line through the points (3, 10) and (35, 91) is shown below.
Mia’s Work
Step 1: 3-35/10-91
Step 2: -32/-81
Step 3: 32/81
What was the first error that Mia made?
A: Mia simplified incorrectly and made the slope positive.
B: Mia subtracted in the wrong order.
C: Mia switched the numerator and the denominator.
D: Mia used subtraction instead of addition.
Answer:
Answer:
C: Mia switched the numerator and the denominator.
Step-by-step explanation:
just took the test
How to find side of triangle if two sides and one angle is known?
Singing "row, row, row your boat," in a round (each group starting at a different time) would be considered which texture? music appreciation
The graph shows the path of a rider on a ride at an amusement park.
What does the x-coordinate of the vertex represent?
The rider’s minimum height above the ground is 25 ft.
The rider travels a total distance of 25 ft.
The difference between the rider’s maximum and minimum’s height above the ground is 25 ft.
The rider is closest to the ground when he is 25 ft from the left side of the ride.
https://static.k12.com/nextgen_media/assets/8090397-NG_AL1_O_07_U12_Quiz_08.png
Answer:
D. The rider is closest to the ground when he is 25 ft from the left side of the ride.
Step-by-step explanation:
The vertex of x-coordinate represents the distance from the from the origin of the pendulum, which is the closest to the ground when he is 25 ft away from 0.
Hope this will helpful.
Thank you.
Write a real word problem that involves classifying a quadrilateral
Alice needs to classify her garden quadrilateral to determine if it is suitable for a specific species of flowers. She finds the sides equal in length and consecutive angles supplementary, which leads her to conclude the garden plot is a rhombus, meeting the criteria for her flowers.
Alice designs a garden plot in the shape of a quadrilateral. She knows that for a certain species of flower to grow optimally, her garden must have a specific shape: it needs to be a parallelogram with equal sides but not necessarily equal angles. In order to classify the quadrilateral of her garden, she begins by measuring the sides and finds that they are all of equal length. Then she measures the angles and finds that consecutive angles are supplementary, which means their measures add up to 180 degrees.
To determine if the quadrilateral meets the criteria for the species of flowers, she must classify her garden plot based on her measurements. Is Alice's garden a rectangle, a square, a rhombus, or a parallelogram with unequal angles?
Since the sides of the quadrilateral are all equal and the consecutive angles are supplementary, Alice can conclude that her garden plot is a rhombus, which is a type of parallelogram with all sides equal in length and opposite angles equal. Thus, it fulfills the requirements for her special species of flowers.
Math help!!!!!!!!!!!!!!!!!!!!!!!!!!!
[100 POINTS]
Question 1)
The graph for the equation y = 2x - 2 is shown below.
If another equation is graphed so that the system has one solution, which equation could that be?
A) y = 2(x+1)
B) y = 2(x-1)
C) y = 2(x-2)
D) y = -2(x+1)
Question 2)
Solve the inequality and then graph its solution.
1/5(x-2) > -1
a) x > -7
b) x < -3
c) x > -3
d) x > 3
The first question is D, because when graphed, intercepts with the slope of 3, the only with the solution.
The second question is C, because u can multiple the LHS and RHS to get x-2 is greater than -5. Add 5 to get x is greater than -3
find the roots of the equation x3-3x^2+x+5
Let A and B be two events in a sample space S such that
P(A)=.6 P(B)=.5 and P(A intersect B) =.2 Find
A) P(A|B)
B) P(B|A)
Please explain how to do this! Thank you
Find the area of the triangle. Round the answer to the nearest tenth.
A.
68.4 square units
B.
75.3 square units
C.
84.5 square units
D.
136.7 square units
Answer:
Option A. 68.4 square units.
Step-by-step explanation:
Since sides ED = EF = 13 units
So the given triangle is an isosceles triangle and in an isosceles triangle EFD, perpendicular drawn from E to DF, will be perpendicular bisector of DF.
Moreover, to this perpendicular bisector to DF will be the height of the triangle.
Now Area of a triangle of [tex]\frac{1}{2}[/tex] × base × height.
Sin 63 = [tex]\frac{Height}{Hypotenuse}[/tex] = [tex]\frac{h}{13}[/tex]
h = 13 sin 63 = 13 ( 0.891) = 11.583 units
Cos 63 = [tex]\frac{Base}{Hypotenuse}[/tex] = [tex]\frac{Base}{13}[/tex]
Base = 13 cos 63 = 13 × (0.454)
= 5.90 units
Since DF = 2 × base = 2 × 5.90
= 11.80 units
Now area of EDF = [tex]\frac{1}{2}[/tex] × 11.80 × 11.583
= 68.86 ≈ 68.40 square units.
Option A. 68.4 square units.
What is the quotient of
13
÷
8
? Leave your answer as a mixed number