Answer:
115°
Step-by-step explanation:
First, solve for x. We know <6+<8=180
2x-5+x+5=180
3x=180
x=60
<3 and <6 are equal (opposite interior angles), so solve for <6, which is the same as <3.
2x-5
2(60)-5
120-5
115
Today, both the soccer team and the basketball team had games . The soccer team plays every 3 days and the basketball team plays every 5 days.When will both teams have games or the same day again?
Some time of the month
The tuition costs, C, for a local community college are modeled by C(h) = 250 + 200h, where h represents the number of credit hours taken. The local state university has tuition costs, S, modeled by the function S(h) = 300 + 180h.
Question Completion
How many credit hours will a student have to take for the two tuition costs to be equal? Round the answer to the nearest tenth of an hour.
Answer:
h = 2.5 credit hours
Step-by-step explanation:
The tuition costs, C, for a local community college
C(h) = 250 + 200h
The tuition costs, S for the local state university
S(h) = 300 + 180h
For the two tuition costs to be equal
C(h)=S(h)
250 + 200h = 300 + 180h
Subtract 180h from both sides
250 + 200h − 180h= 300 + 180h − 180h
250 + 20h= 300
Subtract 250 from both sides
250 -250+ 20h= 300-250
20h = 50
Divide both sides by 20
h = 2.5 credit hours
Therefore, the tuition costs will be equal at 2.5 credit hours.
A woodpecker pecked at a 17 m wooden pole until it cracked and the upper part fell with the top hitting the ground 10 m from the foot of the pole. Since the upper part had not completely broken off, the bird pecked away where the pole had cracked. How far was the bird above the ground?
Answer:
the woodpecker was 7m above the ground
The height where the bird pecked is 7m above the ground.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, A woodpecker pecked at a 17 m wooden pole until it cracked and the upper part fell with the top hitting the ground 10 m from the foot of the pole.
Therefore, If the length of the pole that fell down is 10m then the length of the remaining pole is,
= (17 - 10)m.
= 7m.
So, The bird pecked away where the pole had cracked is 7m.
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Line CD passes through points C(1, 3) and D(4, -3). If the equation of the line is written in slope-intercept form, y =mx + b, what is the value of b?
0-5
0 -2
0 1
O 5
Answer:
5
Step-by-step explanation:
In the slope- intercept form of y= mx +b, m is the slope and b is the y- intercept.
Let's find the slope using the formula below:
\(\boxed{slope = \frac{y1 - y2}{x1 -x 2} }\)
\(m = \frac{3 - ( - 3)}{1 - 4} \)
\( m = \frac{3 + 3}{ - 3} \)
\(m = \frac{6}{ - 3} \)
m= -2
Substitute m= -2 into the equation:
y= -2x +b
To find the value of b, substitute a pair of coordinates into the equation:
When x= 1, y= 3,
3= -2(1) +b
3= -2 +b
b= 3 +2 (+2 on both sides)
b= 5
Thus, the 4th option is correct.
If you partition a line segment in a ratio of 4:1, what is the fraction?
Answer:
Your answer would be 4 over 1
need help.
thank you so much.
Answer:
1.D
2.C
3.C
4.B
Step-by-step explanation:
mark me as brainliest
3 (x - 17) < 9 (1 - 3x)
Answer:
x < 2
Step-by-step explanation:
3(x- 17) = 3x - 51
9(1-3x) = 9 - 27x
3x - 51 < 9 - 27x
30x - 51 < 9
30x < 60
X < 2
___, 86, 82, 84, 80, 82, 78
fill in the blank
Answer:
88
Step-by-step explanation:
the sequence goes on subtracting 4, 2, 4, 2, 4
hence, with the last number being subtracted by 4, you must then add on 2
86 + 2 = 88
determine the minimum area of a poster that will contain 50 square inches of printed material and have 4 inch margins on the top and bottom and 2 inch margins on the left and right.
The minimum area of a poster that will contain 50 square inches of printed material and have 4-inch margins on the top and bottom and 2-inch margins on the left and right is 98 square inches.
To determine the minimum area of the poster, we need to consider the dimensions of the printed material and the margins. The printed material covers an area of 50 square inches. The margins on the top and bottom are each 4 inches, which means we need to add 8 inches to the height of the printed material. The margins on the left and right are each 2 inches, which means we need to add 4 inches to the width of the printed material.
To determine the minimum area of the poster, follow these steps:
1. Add the top and bottom margins to the height of the printed material:
Height = Printed Height + Top Margin + Bottom Margin
Height = 50 square inches (assuming printed material height is 1 inch) + 4 inches + 4 inches
Height = 9 inches
2. Add the left and right margins to the width of the printed material:
Width = Printed Width + Left Margin + Right Margin
Width = 50 square inches / 1 inch (since printed material height is 1 inch) + 2 inches + 2 inches
Width = 54 inches
So, the total height of the poster is the height of the printed material plus the top and bottom margins, which is 50/width + 8 inches. The total width of the poster is the width of the printed material plus the left and right margins, which is 50/height + 4 inches.
Therefore, the minimum area of the poster is 7 x 14 = 98 square inches.
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I've tried soooo many times on this question, but I just can't get it! It's due later today, so if someone would please explain to me what I'm supposed to do. I know what to do, but I'm doing something wrong, but I don't know what. I need to write a recursive and explicit formula for the sequence -16, 4, -1, 1/4, -1/16, 1/64 It is a geometric sequence.
For males in a certain town, the systolic blood pressure is normally distributed with a mean of 120 and a standard deviation of 5. If 149 males from the town are randomly selected to participate in a study, how many of them would be expected to have a systolic blood pressure between 112 and 132, to the nearest whole number?
140 males is expected to have a systolic blood pressure.
How many males would be expected to have systolic blood pressure?We have to calculate probability of a male having a systolic blood pressure between 112 and 132 using the normal distribution.
We will standardize the values by calculating z-scores for the lower and upper limits:
\(z\)1 = (x1 - μ) / σ,
\(z\)2 = (x2 - μ) / σ,
\(z\)1 = (112 - 120) / 5
\(z\)1 = -1.6,
\(z\)2 = (132 - 120) / 5
\(z\)2 = 2.4.
Using standard normal distribution table:
The probability for z = -1.6 is 0.0548The probability for z = 2.4 is 0.9918.\(P(112 < X < 132) = P(z1 < Z < z2)\\P(112 < X < 132) = P(Z < z2) - P(Z < z1)\\P(112 < X < 132) = 0.9918 - 0.0548\\P(112 < X < 132) = 0.937\)
The number of males expected to have a systolic blood pressure between 112 and 132 will be:
= \(P(112 < X < 132)\) * Sample size
= 0.937 * 149
= 139.613
= 140
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List the intervals on which the function is increasing, the intervals on which it is decreasing, and the location of all local extrema. Choose the correct increasing and decreasing intervals O A. increasing on (-[infinity],-5),(0,5), decreasing on (-5,0),(5,[infinity]) B. increasing on (-[infinity], -5)(5, 0) decreasing on (-0,-5)(0,5) O C. increasing on (-[infinity],-5),(5,[infinity]), decreasing on (-5,0),(0,5) O D. increasing on (-5,0),(0,5), decreasing on (-[infinity],-5) (5,[infinity])
The function f(x) = 2x^3 + 3x^2 - 12x + 8 is increasing on (-2, 0) and (0, 2), decreasing on (-∞, -2) and (2, ∞), and has a local minimum at x = -2 and a local maximum at x = 1. So, the correct answer is D).
To determine the intervals on which the function is increasing and decreasing, we need to find the derivative of the function and determine its sign.
f(x) = 2x^3 + 3x^2 - 12x + 8
f'(x) = 6x^2 + 6x - 12
Simplifying, we get
f'(x) = 6(x^2 + x - 2)
f'(x) = 6(x + 2)(x - 1)
The critical points of the function occur where f'(x) = 0 or where f'(x) is undefined. In this case, f'(x) is defined for all values of x, so we only need to find where f'(x) = 0.
Setting f'(x) = 0, we get
6(x + 2)(x - 1) = 0
x = -2 or x = 1
These are the critical points of the function.
Now, we can use the first derivative test to determine the intervals on which the function is increasing or decreasing.
When x < -2, f'(x) < 0, so the function is decreasing.
When -2 < x < 1, f'(x) > 0, so the function is increasing.
When x > 1, f'(x) > 0, so the function is increasing.
Therefore, the function is decreasing on the interval (-∞, -2), and increasing on the intervals (-2, 1) and (1, ∞).
To find the local extrema, we need to check the sign of f'(x) on either side of the critical points.
When x < -2, f'(x) < 0, and when x > -2, f'(x) > 0. Therefore, the function has a local minimum at x = -2.
When x < 1, f'(x) < 0, and when x > 1, f'(x) > 0. Therefore, the function has a local maximum at x = 1.
So, the intervals on which the function is increasing are (-2, 1) and (1, ∞), and the intervals on which it is decreasing are (-∞, -2). The local extrema are a local minimum at x = -2 and a local maximum at x = 1.
Therefore, the correct option is (D) increasing on (-2,0),(0,2), decreasing on (-∞,-2),(2,∞).
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--The given question is incomplete, the complete question is given
" List the intervals on which the function is increasing, the intervals on which it is decreasing, and the location of all local extrema.
f(x)= 2x^3 + 3x^2 -12x +8 Choose the correct increasing and decreasing intervals O A. increasing on (-[infinity],-2),(0,2), decreasing on (-5,0),(5,[infinity]) B. increasing on (-[infinity], -5)(5, 0) decreasing on (-0,-2)(0,2) O C. increasing on (-[infinity],-5),(5,[infinity]), decreasing on (-5,0),(0,5) O D. increasing on (-2,0),(0,2), decreasing on (-[infinity],-2) (2,[infinity])"--
Can't figure this question out!!! Giving Brainliest!!!
(1/2x) + 2 = -2
I nEeD AnSwErS PlEaSe HeLp Me!!!
Answer:
x = -8
^
I
I
I
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That is the correct answer
la siguinete tabla mustran la correspondencia entre dos variables. Determina si es funcion o relacion
Answer:
where's the table. on és la taula?
Step-by-step explanation:
Mark invests £12000 in a savings account. the account pays 1.5% compound interest per year. work out the value of her investment after two years?
Answer:
FV= £12,362.7
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= £12,000
Number of periods (n)= 2 years
Interest rate (i)= 1.5% = 0.015
To calculate the Future Value, we need to use the following formula:
FV= PV*(1 + i)^n
FV= 12,000*(1.015^2)
FV= £12,362.7
Which type of mathematical problem is too complex for a classical computer to solve efficiently?
Calculating the circumference of a circle based on the circle's diameter.
What kind of problems can a quantum computer solve?
Yet another difficult area that quantum computers cater to is that of solving difficult combinatorics problems. The algorithms within quantum computing aim at solving difficult combinatorics problems in graph theory, number theory, and statistics.10 Difficult Problems Quantum Computers can Solve Easily-
Quantum encryption. Simulation of quantum systems. ab initio calculations.Solving difficult combinatorics problems.Supply chain logistics. Optimization.Finance. Drug development.Learn more about quantum computer
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The complete question is -
Which type of mathematical problem is too complex for a classical computer to solve efficiently?
a. converting an irregular fraction to an approximate decimal value
b. multiplying two numbers that both have a large number of digits
c. finding two prime factors that result in a specific value when multiplied
d. calculating the circumference of a circle based on the circle's diameter
what is speaker? what is printer
Answer:
A speaker is a term used to describe the user who is giving vocal commands to a software program. ... A computer speaker is an output hardware device that connects to a computer to generate sound. The signal used to produce the sound that comes from a computer speaker is created by the computer's sound card
Step-by-step explanation:
rate nyoooo plssss
Solve 3(4m - 6) = 12 and explain each step
PLEASE HELP IM STUCK PLEASE HELP
Answer:
y = 3x + 5
Step-by-step explanation:
x = number of years
• bush grows 3cm per year
• the initial height is 5cm
3cm per year times x number of years: y = 3x
Add the initial height of 5cm: y = 3x + 5
Assume that a real estate investor that rents for $2,000 per month. Which payment plan would the nvestor prefer for the current 12-month lease? payment of $2,000 at the first of each month upfront payment of $24,000 payment of $2,000 at the end of each month payment upfront of $12,000 and $12,000 half-way through the lease
To determine which payment plan the real estate investor would prefer, we need to compare the present value of each payment option. Assuming a discount rate of 0%, meaning no time value of money is considered, we can directly compare the payment amounts.
1. Payment of $2,000 at the first of each month: This results in a total payment of $24,000 over the 12-month lease.
2. Upfront payment of $24,000: This option requires paying the full amount at the beginning of the lease.
3. Payment of $2,000 at the end of each month: Similar to option 1, this results in a total payment of $24,000 over the 12-month lease.
4. Upfront payment of $12,000 and $12,000 half-way through the lease: This option requires paying $12,000 at the beginning of the lease and another $12,000 halfway through the lease.
Since all the payment options have a total cost of $24,000, the real estate investor would likely prefer the payment plan that offers more flexibility or matches their cash flow preferences. Options 1 and 3 provide the investor with the option to pay monthly, while options 2 and 4 require a larger upfront payment. The choice would depend on the investor's financial situation and preferences.
please help :c
Angela bought a total of 3 dozen cookies for Easter. Each cookie was 0.65 (INCLUDING TAX!) Of the cookies, 3/4 of them were shaped like Easter eggs. What was the cost of the Easter egg shaped cookies?
please add the work along with the question
Answer: $17.55
Step-by-step explanation:
36 x 0.65 = $23.40 total for all cookies
($23.40/1) x (3/4) = (70.2/4)
70.2 divided by 4 = $17.55
or
$23.40 x .75 = $17.55
Based on recent demand for single family homes in a growing city, it is recommended potential home buyers put 20 percent down when making an offer. A mortgage loan officer would like to test the claim that the average percent down on a single family home purchase is greater than the recommended 20 percent. To test this claim, at the 5% significance level, the mortgage loan officer collects the following data on a sample of 22 recent home purchases and records the percent down. The following is the data from this study: Sample size =22 recent home purchases Sample mean =24 percent down Sample standard deviation =9 percent down Identify the null and alternative hypothesis for this study by filling in the blanks with the correct symbol (=,≠,<, or > to represent the correct hypothesis.)
This enabled the borrower to obtain 90 percent financing while avoiding the additional cost of pmi. these loans are more commonly referred to as piggyback mortgage loans.
A loan is the lending of cash via one or more individuals, organizations, or different entities to other individuals, corporations, etc. The recipient incurs a debt and is normally susceptible to pay hobby on that debt till it is repaid as well as to repay the foremost amount borrowed.
A mortgage is a shape of debt incurred by using an character or different entity. The lender—commonly a business enterprise, economic organization, or authorities—advances a amount of money to the borrower. In return, the borrower agrees to a sure set of phrases together with any finance charges, hobby, repayment date, and different situations.
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URGENT. PLEASEEEE HELP ILL PICK BRAINLIEST
PLSPSLDSPFEGJK
solve for x
x-(12-x) =38
Hey there!
\(Answer:\boxed{x=25}\)
\(Explanation:\)
\(x-(12-x)=38\) Equation
x - (12 - x) = 38 Simplify both sides
x + -1(12 - x) = 38 Distribute negative
x + (-1)(12) + -1(-x) = 38
x + -12 + x = 38
(x + x) + (-12) = 38 Combine the like terms
2x + -12 = 38
2x - 12 = 38
2x - 12 + 12 = 38 + 12 Add 12 to both sides
2x = 50
50/2 = 25 Divide both sides by 2
x = 25
Hope this helps!
The number -2 is a solution to which of the following inequalities?
1. x + 7 > 5
2. -3 x 10
3. x - 7 10
Answer:
it is number 1 it is number 1
Pls help me it’s so hard imo thank you sm
Answer: 7e-5 millimeters, and the nanometer scale is more appropriate
Step-by-step explanation: PLEASE MARK ME BRAINLIEST!!!!!!
-divide the length value by 1e+6
-The millimeter scale and the centimeter scale are two huge, while the nanometer scale is too small. The nanometer scale is often used to measure atoms and viruses.
Answer:
a) The length of the virus in millimetres is 0.000 07 mm.
b) Viruses are microscopic and so nanometres are the more appropriate unit for writing the length of the virus since the nanometre is a smaller unit of measurement than the millimetre.
Step-by-step explanation:
SI is the abbreviation for The International System of Units.
The SI base unit for length is metres (m).
Milli and nano are SI prefixes used to form decimal multiples or submultiples of SI units.
1 millimetre (mm) = 1 × 10⁻³ metres = 0.001 m1 nanometre (nm) = 1 × 10⁻⁹ metres = 0.000 000 001 mTherefore, to convert nanometres to millimetres, multiply the nanometres by 10⁻⁶:
1 nm = 1 × 10⁻⁶ mmSo 70 nanometres is:
70 × 10⁻⁶ mm = 0.000 07 mmViruses are microscopic and so nanometres are the more appropriate unit for writing the length of the virus since the nanometre is a smaller unit of measurement than the millimetre.
in herrnstein's matching equation, the letters and numbers to the left of the equals sign refer to what?
In Herrnstein's matching equation, the letters and numbers to the left of the equals sign refer to behaviour.
THE MATCHING LAW
Herrnstein's Experiment Herrnstein (1961) conducted an experiment with pigeons in a room with two response buttons, red and white. Each key was assigned its own VI gain schedule. For example, under one condition, the left button pick was boosted on a VI 135 second schedule, and the right button pick was boosted on a VI 270 second schedule.
After the birds have learned as much as possible about this electoral situation, how do they distribute their responses? We trained them for days and then measured their reactions. As is often the case with VI schedules, birds returned many responses for each reinforcer received. Most interesting, however, is that in this condition, where two-thirds of the reinforcers came from the left button, the birds performed about two-thirds of the responses with the left button. That is, the proportion of left button responses equaled or matched the proportion of reinforcers delivered by the left button. In another condition, two birds received only about 15% of reinforcers from the left key and responded about 15% to that key.
Based on these results, Herrnstein proposed the following general principle for individual behavior when presented with alternative sequences. So, what you think makes sense rather than other options available at that particular moment.
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what is the slope of this equation? y=8-x
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\(y = 8 - x\)
\(y = - x + 8\)
\(y = - 1x + 8\)
\(Slope = coefficient \: \: of \: \: x \)
Thus :
\(Slope = - 1\)
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Price - $375
Discount - 20%
Total =
Answer: 20
Step-by-step explanation: since i helped can i have brainlist plesa :D
A. all real number
B. x>0
C. x>2
D. y>0
E. y>-1
F. y>2
Answer:
domain = E
range = (-&,&)
Step-by-step explanation: solved by graphing calculator
Line see crosses through both A and B creating angles d through k. If m
Answer:
they are parallel lines with a crossing line creating a 90 degree angle
The line A and line B are parallel to each other and line C is perpendicular to both line A nd B.
What is converse of consecutive interior angle theorem ?
As a result of the converse of consecutive interior angle theorem, two parallel lines are formed whenever a transversal intersects two lines so that two consecutive interior angles are supplementary.
Any pair of angles that lie on opposite sides of two lines cut by a transversal on the same side is known as corresponding angle.
Here, the angle ∠d and angle ∠h are corresponding angles and there measurement is 90 degrees which implies that the line A and line B parallel to each other and line C is perpendicular to both line A nd B.
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