Answer:
the answer is 7x on edg... i just took the pretest
Step-by-step explanation:
PLEASE HELP.
On a road, a bike sign in the shape of an isosceles trapezoid is to be painted. The sign and its dimensions are shown below. What is the area of the sign?
A.24 square feet
B.28 square feet
C.30 square feet
D.32 square feet
Write the expression as a single natural logarithm.
3 ln 2 + 6 ln y
Answer:
[tex]ln(8y^{6})[/tex]
Step-by-step explanation:
3ln(2)+6ln(y)
= [tex]ln(2^{3} )+ln(y^{6})[/tex]
= [tex]ln(8 )+ln(y^{6})[/tex]
= [tex]ln(8*y^{6})[/tex]
= [tex]ln(8y^{6})[/tex].
Given the function f(x)= x^4+6x^3-x^2-30x+4
Use the intermediate value Theorem to decide which of the following intervals contains at least one zero (there are 4 answers)
A) [-5,-4]
B) [-4,-3]
C) [-3,-2]
D) [-1,0]
E) [0,1]
F) [1,2]
The correct answers are a,b,e,f
By applying the Intermediate Value Theorem to the function f(x)=x^4+6x^3-x^2-30x+4, we find that the intervals containing at least one zero, or root, are [-4,-3], [-3,-2], [-1,0], and [0,1].
Explanation:In mathematics, particularly in calculus, the Intermediate Value Theorem (IVT) is used to show that a given interval has at least one zero, or root, of a function. In this case, the function is f(x)=x^4+6x^3-x^2-30x+4.
To apply IVT, we calculate the function value at the endpoints of the intervals. If the function values at the endpoints of an interval have different signs, then by IVT, there is at least one zero in that interval.
f(-5)=625+750-25+150+4=1504f(-4)=256+384-16+120+4=748f(-3)=81+162-9+90+4=328f(-2)=16+48-4+60+4=124f(-1)=1+6-1+30+4=40f(0)=4f(1)=1+6-1-30+4=-20f(2)=16+48-4-60+4=4A change in sign between the function values at the endpoints of an interval indicates there is at least one root in that interval. Thus, by checking the signs of the consecutive function values, we can conclude that the intervals which contain at least one root are [-4,-3], [-3,-2], [-1,0], and [0,1].
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factor 9x^2 -5 . using difference of squares
name the property or real numbers illustrated by the equation
A photo 5 inches wide and 8 inches long is enlarged. How long is the new photo if it is (1)10 inches; (2)15 inches; (3)8 inches wide?
Answer:
1.16 in
2.24 in
3.12.8 in
Step-by-step explanation:
We are given that
Width of photo=5 in
Length of photo=8 in
We have to find the length of new photo in each case.
1. Let x represent the width and y represents the length of photo.
When width increase then length of photo is also increases then it is direct proportion.
[tex]\frac{x_1}{y_1}=\frac{x_2}{y_2}[/tex]
Substitute the values then we get
[tex]\frac{5}{8}=\frac{10}{y}[/tex]
[tex]y=\frac{10\times 8}{5}=16[/tex]
Hence, the length of photo=16 in
2.Width=x=15 in
Again using the formula
[tex]\frac{5}{8}=\frac{15}{y}[/tex]
[tex]y=\frac{15\times 8}{5}=24[/tex]
Hence, the length of new photo=24 in
3. Width =x=8 in
Substitute the values in the given formula
[tex]\frac{5}{8}=\frac{8}{y}[/tex]
[tex]y=\frac{8\times 8}{5}=\frac{64}{5}=12.8[/tex]
Hence, the length of new photo=12.8 in
Graph y = | x | + 5 .
complete this proof.
If 1/2(8x+14)=39 , then x = 8.
1/2(8x+14)=39 is Given
4x + 7 = 39 _____
4x = 32 ____
x = 8 ____
OPTIONS
division property of equality
distributive property
substitution property of equality
subtraction property of equality
associative property of addition
Answer:
1) distributive property
2) subtraction property of equality
3) division property of equality
Step-by-step explanation:
Given : If [tex]\frac{1}{2}(8x+14)=39[/tex] , then x=8
To complete the proof :
Solution :
Following are the complete steps or proof of solving the given expression,
[tex]\frac{1}{2}(8x+14)=39[/tex] is given
[tex]4x + 7 = 39[/tex] - distributive property
[tex]4x = 32[/tex] - subtraction property of equality
[tex]x = 8[/tex] - division property of equality
In a particular class of 31 students, 12 are men. What fraction of the students in the class are women
Joey saved $2 today. if he doubles the number of dollars he saves each day, how many days, including today, will it take him to save more than $500?
By saving double the amount saved on the previous day starting with $2 in 8 days Joey will have $500.
What are arithmetic and geometric sequence?An arithmetic sequence is a set of numbers in which every no. next to the previous number has the same common difference
d = aₙ - aₙ₋₁ = aₙ₋₁ - aₙ ₋₂.
In a geometric sequence numbers are written in the same constant ratio(r).
It means every next number is a multiple of a common constant and the previous number.
r = aₙ/aₙ₋₁ = aₙ-₁/aₙ₋₂.
Given, Joey saved $2 today. If he doubles the number of dollars he saves each day.
This can be formed as a geometric sequence with common ratios(r) = 2.
a₁ = 2, We know the sum of a geometric series is [tex]S_n = \frac{a_1(r^n - 1)}{r - 1}[/tex].
∴ 500 = 2(2ⁿ - 1)/(2 - 1).
2ⁿ - 1 = 250.
2ⁿ = 251.
[tex]log_22^n = log_2251[/tex].
n = 7.97 Or approximately in 8 days.
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A cube has an edge length of 9 centimeters. If the side length is increased by a factor of 3, how much larger is the perimeter of a face of the new cube?
Answer:
The perimeter of a face of the new cube is:
108 cm
Step-by-step explanation:
Original edge length of cube=9 cm
Increased edge length of the cube=9×3 cm
=27 cm
The perimeter of a face of a cube=4s
where s is the edge length of the cube
Perimeter of a face of new cube=4×27 cm
= 108 cm
Hence, the perimeter of a face of the new cube is:
108 cm
A machine produces 584 units in 8 hours. how many units does it produce in 2 hours?
Unit rate is the quantity of an amount of something at a rate of one of another quantity.
584 units = 8 hours
1 hour = 73 units
2 hours = 146 units
The number of units produced in 2 hours is 146 units.
What is a unit rate?
It is the quantity of an amount of something at a rate of one of another quantity.
In 2 hours, a man can walk for 6 miles
In 1 hour, a man will walk for 3 miles.
We have,
A machine produces 584 units in 8 hours.
This means,
584 units = 8 hours
Divide both sides by 8.
1 hour = 73 units
Now,
1 hour = 73 units
Multiply 2 on both sides.
2 hours = 146 units
Thus,
The number of units produced in 2 hours is 146 units.
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Tracy pays $8.50 of her monthly life insurance premium and her employer covers the rest of her monthly premium is $32.25 what is the annual value to Tracey of this benefit
Final answer:
Tracy's employer pays $23.75 each month towards her life insurance premium. The annual value of this benefit to Tracy is $285, calculated by multiplying the monthly employer contribution by 12.
Explanation:
The question is asking to calculate the annual value of the benefit that Tracy receives from her employer for her life insurance. Tracy pays $8.50 monthly and her employer covers the remainder, making the total monthly premium $32.25. To find the annual value of the benefit, we need to first determine how much her employer pays each month and then multiply this by 12 to get the annual value.
First, we subtract Tracy's contribution from the total premium:
$32.25 - $8.50 = $23.75
This is the monthly contribution by the employer. Now, to find the annual value, we multiply the monthly employer contribution by 12:
$23.75 × 12 = $285. Therefore, the annual value of the benefit that Tracy receives is $285.
Ed counts 23 black cars, 9 red cars, 17 blue cars, 25 white cars and 21 silver cars during 20 minutes of watching. How many more white and blue cars are there than silver and red cars?*
The measure of one angle is three times the measure of its complement
Scott drove to his friends house and back.on the trip there he drove 72km/h and on the return trip he went 60 km/h. How long did the trip there take if the return trip took six hours?
Compare the words strand and sprang. How are they alike? How are they different?
An organization founded by businesses in a specific industry for the purpose of collaboration between companies is called a(n):
Answer:
The answer is trade association.
Step-by-step explanation:
Such organizations are founded to encourage trade and collaboration between companies. These are also known as industry trade group or business association and is funded by businesses that operate in a particular industry.
5. In which situation is it best to be observant? (15 points)
crossing the street
listening to music
eating lunch
folding clothes
The correct answer is A. Crossing the street.
Explanation
Being an observer refers to observing or looking at every detail of the surrounding environment or situation. This implies when you are an observer you understand a situation by noticing and understanding every detail. In this task, individuals mainly use their sense of sight, which allows individuals to understand visually elements, although observing often involves other senses such as hearing. This is necessary in the cases we need to remember information, perform precise actions, among others.
According to this, it is necessary to be an observer when crossing a street because this task or process requires concentration and precise actions and by observe you make sure that there is no danger of being hit by a car before crossing. So, the correct answer is A. Crossing the street
Cassandra is trying to think of a good way to keep her financial records. She makes a lot of purchases, using cash, debit cards, and credit cards about equally. When she gets home every day, she tends to be very tired and doesn’t like to do a lot of organized thinking. She tends to lose individual pieces of paper if she doesn’t file them immediately. What might be a good method for Cassandra to use? a. Recording all of her daily expenditures in an organizational computer program. b. Keeping and collecting receipts for everything she buys. c. Tracking and collecting her bank and credit statements every month. d. Carrying a notebook and immediately recording all of her transactions in it.
Answer:
the answer is d
Step-by-step explanation:
everybody else keeps getting it wrong, the answer is d
The number of farms in the country was 2.15 million in 2000.By 2006,the number had dropped to 2.07 million.What was the percent of decrease? Round to the nearest tenth of a percent
drag each label to the correct location on the table each label can be used more than once but not all labels will be used
this is the question...
Which line is parallel to line r?
line p
line q
line s
line t
Suppose that you work at the Peacock Blue store for 40 hours over five days at a rate of $8.75/hour. You then quit your job. Deductions are FICA (7.65%), federal withholding (12%), and state withholding (8%). Your expenses are transportation at $4.25/day, lunch at $3.85/day, and black slacks required for work at $29.95. How much is your discretionary income for the week?
Answer:
182.77
Step-by-step explanation:
gradpoint
In a system of linear equations, the slope of one line is the negative reciprocal of the slope of the other line. Is this system independent, dependent, or inconsistent?
Final answer:
An independent system of linear equations has two lines that intersect at exactly one point. If the slope of one line is the negative reciprocal of the other, the lines are perpendicular, indicating they intersect once and the system is independent.
Explanation:
If the slope of one line in a system of linear equations is the negative reciprocal of the slope of the other line, this indicates that the two lines are perpendicular to each other. Perpendicular lines intersect at one point and therefore, the system of equations is independent. An independent system has a single unique solution, meaning that there is exactly one point where the two lines cross.
In terms of graphs and equations, the slope or 'm' in the equation y = mx + b represents the rate at which the dependent variable changes with respect to the independent variable. The negative reciprocal relationship between slopes of two lines means that one will rise (positive slope) and fall (negative slope) at the same rate but in opposite directions, ensuring they intersect just once unless the y-intercepts (b) are also identical, which would make them the same line (dependent system) rather than intersecting lines.
Judy bought 2 cotton candies and 2 funnel cakes. Her total cost was $10. Wayne bought 3 cotton candies and 1 funnel cake. What was the total cost of Wayne's food?
a. too little
b. too much
Answer:
Too little
Step-by-step explanation:
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Find the distance between A(-12,13) and B(-2,-11).
F. 6 units
G. 14 units
H. 26 units
J. 29 units
Brandon plans to rent a truck. The cost to rent the truck is $30 for the first four hours plus $10 for each additional hour. He can spend no more than $60. What is the maximum of hours for which brandon can rent the truck. Show your work.
In the accompanying diagram QRS is similar to LMN,RQ=30 ,QS=21 SR=27 and LN=7. What is the length of ML