For which intervals is the function increasing?
Select each correct answer.
Answer:
The function increase between 0 and 1, and from 2 to infinity.
Step-by-step explanation:
Any one variable function f(x) increases when f(x2) is greater than f(x1), where x2 is greater than x1. For example, in the plot it can be seen that for x2 = 1, f(x2) = 1 and for x1 = 0, f(x1) = 0. So, between points 0 and 1, the function increase. Also, from 2 onwards, the function increase their values.
Theos kitchen is 192 square feet. a blueprint of his kitchen is created with the scale 1 inch : 4 feet. what is the area of the kitchen on the blueprint
Answer:
12 square inches
Step-by-step explanation:
The scale of an area is the square of the scale of a linear measurement.
The scale of the areas is (1 inch)^2 : (4 feet)^2 which is the same as
1 inch^2 : 16 feet^2
192/16 = 12
12 inch^2 : 192 feet^2
Answer: 12 square inches
Choose as many answers as apply.
When purchasing a car, three sources for determining the manufacturer's invoice for the basic vehicle include:
libraries
newspaper advertisements
bookstore
various web sites
When purchasing a car, consider using libraries, newspaper advertisements, and various websites to determine the manufacturer's invoice.
When purchasing a car, three sources for determining the manufacturer's invoice for the basic vehicle include:
Libraries
Newspaper advertisements
Various websites
Utilizing these sources can help buyers obtain accurate pricing information before making a purchase decision.
The sources for determining the manufacturer's invoice for the basic vehicle include:
- Libraries
- Various websites
When purchasing a car, determining the manufacturer's invoice price for the basic vehicle can be crucial for negotiating a fair deal. Libraries offer access to automotive reference materials and pricing guides, providing reliable information on invoice prices. Similarly, various websites dedicated to car pricing, such as manufacturer websites, automotive research sites, and online marketplaces, offer up-to-date invoice pricing data. These sources compile information from manufacturers and dealerships, ensuring accuracy and comprehensiveness. Newspaper advertisements and bookstore resources, however, typically focus more on retail prices and promotions rather than invoice pricing. Therefore, while they may provide some insight into car pricing trends, they are not typically the primary sources for determining the manufacturer's invoice price. Utilizing libraries and online resources ensures consumers have access to accurate and detailed invoice pricing information, empowering them to make informed decisions when purchasing a car.
Convert 32º 15’ 45” to decimal
Answer:
[tex]32.2625\°[/tex]
Step-by-step explanation:
we know that
[tex]1\°=60'[/tex]
[tex]1'=60''[/tex]
we have
[tex]32\°\ 15'\ 45''[/tex]
convert to decimal
step 1
Convert seconds to minutes
[tex]45''=45/60=0.75'[/tex]
so
[tex]32\°\ 15'\ 45''=32\°\ 15.75'[/tex]
step 2
convert minutes to grades
[tex]15.75'=15.75/60=0.2625\°[/tex]
so
[tex]32\°\ 15.75'=32.2625\°[/tex]
To convert 32° 15′ 45″ to decimal degrees, you use the formula DD = Degrees + (Minutes/60) + (Seconds/3600), resulting in 32.2625°.
To convert the angle of 32° 15′ 45″ from degrees, minutes, seconds (DMS) to decimal degrees (DD), you can use the following formula:
DD = Degrees + (Minutes/60) + (Seconds/3600).
In this case:
Start with the degrees: 32°
Convert the minutes: 15′ is equal to 15/60 degrees
Convert the seconds: 45″ is equal to 45/3600 degrees
Add them all up: 32 + 0.25 + 0.0125 which equals 32.2625°
Which of the following transform equals y= x^2 to the graph of y=(x+5)^2?
A: a translation 5 units to the right
B: a translation 5 units to the left
C: a translation 5 units down
D: a translation 5 units up
b. because x had to do with the line that goes across. so in that case it would be 5units to the left
Answer:
1st question: B 2nd question: C
Step-by-step explanation:
2021 Edge
which expressions are equivalent to the one above?
Answer:
B C and E
Step-by-step explanation:
A is not. -4x/1 is not the same as -1*x/4
B works. The minus sign is taken outside the brackets and 1/4 is put in the brackets. Nothing illegal has been done.
C works. 3 and -x have been put over a common denominator.
D wrong. Were did the minus sign go?
E works
which rule matches the function shown on the table?
Answer:
First of all the rate of change is -2, so the answer would be y = x - 2
y=-8x-12.Interpret the y-intercept and the slope
Step-by-step explanation:
Slope-intercept form: y=mx+b
The slope is 8. This means that 8 multiplied by x is the slope of the line, and if there was no y-intercept then the first point would be (1,8) so 8 would be unit rate.
The y-intercept is -12. This means that though the slope of the line would still be 8, you move the point down on the y-axis by 12. The y-coordinate will always be 12 less than 8 times x
What is y??????????????
Answer:
y = 6.4
Step-by-step explanation:
1.1 = 13.9 - 2y
-12.8 = -2y
6.4 = y
Answer:
y = 6.4
Step-by-step explanation:
Simplifying
1.1 = 13.9 + -2y
Solving
1.1 = 13.9 + -2y
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '2y' to each side of the equation.
1.1 + 2y = 13.9 + -2y + 2y
Combine like terms: -2y + 2y = 0
1.1 + 2y = 13.9 + 0
1.1 + 2y = 13.9
Add '-1.1' to each side of the equation.
1.1 + -1.1 + 2y = 13.9 + -1.1
Combine like terms: 1.1 + -1.1 = 0.0
0.0 + 2y = 13.9 + -1.1
2y = 13.9 + -1.1
Combine like terms: 13.9 + -1.1 = 12.8
2y = 12.8
Divide each side by '2'.
y = 6.4
Simplifying
y = 6.4
fill in the blank to make the two fractions equivalent.
[tex] \frac{7 }{9} = \frac{?}{36} [/tex]
which of the following is an arithmetic sequence 1,5,25,625 -4,-7,-10,-13,16 2,5,10,15 3,-3,3,-3,3
Answer:
The correct answer is -4,-7,-10,-13,-16
Step-by-step explanation:
a=-4
-4+t=-7
t=-7+4
t=-3
which is true for all values.
Arithmetic sequences are sequences with a constant difference between terms. The given sequences were analyzed to identify arithmetic sequences.
An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant. To identify an arithmetic sequence ,, we look for a common difference between terms. Let's analyze each sequence:
1, 5, 25, 625: This is an arithmetic sequence because each term is obtained by multiplying the previous term by 5.-4, -7, -10, -13, 16: This is not an arithmetic sequence as the difference between terms is not constant.2, 5, 10, 15: This is not an arithmetic sequence as the difference between terms is not constant.3, -3, 3, -3, 3: This is not an arithmetic sequence as the difference between terms is not constant.The ratio of lifting force to area is equivalent for all pairs in the table what are the values of x and y?
The values of x and y are x = 375 square feet and y = 6,300 pounds
To find the values of x and y, we need to determine the ratio of lifting force to area and use it to fill in the missing values in the table.
Given:
- The ratio of lifting force to area is equivalent for all pairs in the table.
Let's calculate the ratio for the given pairs:
1. [tex]\( \frac{125}{1875} = \frac{150}{2250} = \frac{175}{2625} = \frac{250}{3750} \)[/tex]
2. [tex]\( \frac{250}{3750} = \frac{x}{5625} \)[/tex]
3. [tex]\( \frac{250}{3750} = \frac{420}{y} \)[/tex]
From the given pairs, we can observe that the ratio is [tex]\( \frac{250}{3750} \)[/tex] for all of them.
Now, using this ratio, we can find the missing values:
2. [tex]\( \frac{250}{3750} = \frac{x}{5625} \)[/tex]
[tex]\[ x = \frac{250 \times 5625}{3750} = 375 \, \text{square feet} \][/tex]
3. [tex]\( \frac{250}{3750} = \frac{420}{y} \)[/tex]
[tex]\[ y = \frac{3750 \times 420}{250} = 6300 \, \text{pounds} \][/tex]
Therefore, the correct values are:
[tex]\[ x = 375 \, \text{square feet} \][/tex]
[tex]\[ y = 6300 \, \text{pounds} \][/tex]
So, the correct answer is: [tex]\[ \text{Option D: } x = 375 \, \text{square feet} \, \text{and} \, y = 6300 \, \text{pounds} \][/tex]
Complete question:
The area of an airplane's wings is related to the airplane's lifting force, which holds the airplane in the air. The table below lists several wing areas and the corresponding lifting forces. The ratio of lifting force to area is equivalent for all pairs in the table. What are the values of x and y?
AIRPLANE LIFTING FORCE Area of Wings Lifting Force
125 1,875
150 2250
175 2625
250 3750
x 5625
420 y
x = 375 square feet and y = 7,500 pounds
x= 335 square feet and y = 6,300 pounds
x= 335 square feet and y = 7,500 pounds
x = 375 square feet and y = 6,300 pounds
I need help with 6, 7, and 8.
[tex]cos\ u=-\dfrac{15}{15}\implies sin\ u=\dfrac{\sqrt{210}}{15}\\\\sin\ v=-\dfrac{5}{13}\implies cos\ v=-\dfrac{12}{13}[/tex]
6.Answer: [tex]\bold{\dfrac{12\sqrt{15}+5\sqrt{210}}{195}}[/tex]
Step-by-step explanation:
[tex]cos(u+v)=cosu\cdot cosv-sinu\cdot sinv\\\\.\qquad\qquad=\dfrac{-\sqrt{15}}{15}\cdot \dfrac{-12}{13}-\dfrac{\sqrt{210}}{15}\cdot \dfrac{-5}{13}\\\\\\.\qquad\qquad=\dfrac{12\sqrt{15}}{195}+\dfrac{5\sqrt{210}}{195}\\\\\\.\qquad\qquad=\boxed{\dfrac{12\sqrt{15}+5\sqrt{210}}{195}}[/tex]
7.[tex]\bold{\dfrac{-12\sqrt{210}-5\sqrt{15}}{195}}[/tex]
Step-by-step explanation:
[tex]sin(u-v)=sinu\cdot cosv-cosu\cdot sinv\\\\.\qquad\qquad=\dfrac{\sqrt{210}}{15}\cdot \dfrac{-12}{13}-\dfrac{-\sqrt{15}}{15}\cdot \dfrac{-5}{13}\\\\\\.\qquad\qquad=\dfrac{-12\sqrt{210}}{195}-\dfrac{5\sqrt{15}}{195}\\\\\\.\qquad\qquad=\boxed{\dfrac{-12\sqrt{210}-5\sqrt{15}}{195}}[/tex]
8.Answer: [tex]\bold{-\dfrac{19}{67}}[/tex]
Step-by-step explanation:
[tex]tan\ u=-\dfrac{3}{4}\\\\cos\ v=-\dfrac{12}{13}\implies tan\ v=\dfrac{5}{13}\\\\\\\\tan(u+v)=\dfrac{tan\ u+tan\ v}{1-tan\ u\cdot tan\ v}\\\\\\.\qquad\qquad=\dfrac{\frac{-3}{4}+\frac{5}{13}}{1-(\frac{-3}{4}\cdot \frac{5}{13})}\\\\\\.\qquad\qquad=\dfrac{\frac{-39}{52}+\frac{20}{52}}{\frac{52}{52}+\frac{15}{52}}\\\\\\.\qquad\qquad=\boxed{-\dfrac{19}{67}}[/tex]
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Answer:
Order of Success rate A, B, C
Step-by-step explanation:
The table shows the field goal statistics for three different kickers.
Kicker A
Field goals attempted = 14
Field goals made = 12
Success rate = 12/14 = 0.857
Kicker B
Field goals attempted = 18
Field goals made = 15
Success rate = 15/18 = 0.833
Kicker C
Field goals attempted = 24
Field goals made = 19
Success rate = 19/24 = 0.792
Order of Success rate A, B, C
Answer:
A,B,C is the order from least to greatest
Plz help me!!!!!!!!!!
Answer:
B) irrational
Step-by-step explanation:
It can not be imaginary, because imaginary numbers are √(negative number).
It can not be rational, because the cube root of 11 can not be displayed as a repeating or ending number (it's 2.22398009... by the way).
The only option is irrational.
Answer: irrational
Step-by-step explanation:
[tex]\sqrt[3]{11} = 2.2239800905693152........\\\\\text{It has a decimal that never terminates (ends) or r e p e a t s, so it is an}\\\text{irrational number.}[/tex]
A measure of ____________ summarizes all of the values in a data set with a ______________ number.
mean; large
median; small
center; single
spread; large
Answer:
center; single
Step-by-step explanation:
The measures of central tendency or center measures are a number that attempts to describe or summarize the entire data set by means of a single value that represents the center of its distribution. There are different measures of central tendency, and each of them is used depending on the characteristics of the data used.
Some examples of measure of central tendency are:
* Arithmetic mean
* Mode
* Median
* Geometric mean.
Therefore, based on what has been described above, the answer to this question is the third option: center; single
Then:
A measure of __center_____ summarizes all of the values in a data set with a ____single_______ number.
Answer:
The correct answer options are: center; single.
Step-by-step explanation:
A measure of center summarizes all of the values in a data set with a single number.
The measure of center for any numerical data set is a value at the center of a data set which summarizes all of the values in a data set with a single number.
Some of the most common ways to solve for the measure of center are by finding the mean or median.
Use completing the square to solve the equation x2 - 10x = -8.
Which equation is used in the process?
x2 - 10x + 25 = 17
x2 - 10x + 25 = -8
x2 - 10x - 25 = -33
Answer:
x^2 - 10x + 25 = 17
Step-by-step explanation:
Please use " ^ " to denote exponentation:
x^2 - 10x = -8
x^2 - 10x + 25 = 17
x^2 - 10x + 25 = -8
x^2 - 10x - 25 = -33
Begin with x^2 - 10x = -8. Here's the process for completing the square:
1. Take half of the coefficient of x and square the result:
(1/2)(-10) = -5, and then (-5)^2 = + 25
2. Add this 25 to the first two terms of x^2 - 10x = -8 and also to the constant -8: x^2 - 10x + 25 = -8 + 25, or x^2 - 10x + 25 = 17
3. Match this result to one of the given possible answers. Turns out that the given possible answer matching our result is the first one:
x^2 - 10x + 25 = 17
Answer:
number one!!
is your answer!!
Each week your science teacher gives a fifteen-point quiz. Your current scores are shown in the table. What is your mean quiz score?
15 11 10 11 14 10 15 10 12
12
mean is adding all the terms and dividing by number of terms so once you add them all you be 108 and then divide by 9 giving you the mean, 12
Answer:
The mean should be 12.
Step-by-step explanation:
To find the mean of a range of numbers, you must simply add all of the numbers together and divide by how many numbers there are in the group.
In this case, I did 15+11+10+11+14+10+15+10+12, which came to be 108. I divided that by 9, since there are nine numbers, which gave me 12.
Hopefully this helps!
please help ^-^ 1. 23 = x – 9.5 2.12 = k – 4.3
Answer:
1. 32.5
2. 16.3
Step-by-step explanation:
This is algebra. We need to find the unknown values.
1. 23 = x – 9.5
Adding 9.5 on both sides of the equation
23 + 9.5 = x – 9.5 + 9.5
32.5 = x
∴ x = 32.5
2. 12 = k – 4.3
Adding 4.3 on both sides of the equation
12 + 4.3 = k – 4.3 + 4.3
16.3 = k
∴ k = 16.3
PLZ HELP MEE thxxx :)
What value is equivalent to 13 − 2(1 − 15) ÷ 4?
A) -38.5
B) -26
C) 7.25
D) 20
ANSWER
D) 20
EXPLANATION
The given expression is
13 − 2(1 − 15) ÷ 4
Use PEDMAS,
Deal with the parenthesis first.
[tex]13 - 2( - 14) \div 4[/tex]
This gives us,
[tex]13 + 28 \div 4[/tex]
Next Divide :
[tex]13 + 7[/tex]
Next add to obtain,
[tex]20[/tex]
The correct choice is D.
I really need help plzzzzz
ANSWER
D. rotation, translation, reflection
EXPLANATION
Dilation is not a rigid motion.
When the triangle is dilated the image triangle may become bigger ( magnification) or smaller (reduction).
When the scale factor is negative 1, a congruent triangle is obtained.
Hence dilation will not always produce a congruent triangle.
Rotation, reflection and translation are rigid motions and hence will always produce a congruent triangle.
What is the y-coordinate of the solution of the system of equations? {y=3x−262x−y=19 Enter your answer in the box.
Answer:
y = -5Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}y=3x-26&(1)\\2x-y=19&(2)\end{array}\right\\\\\text{Substitute (1) to (2):}\\\\2x-(3x-26)=19\\2x-3x+26=19\qquad\text{subtract 26 from both sides}\\-x=-7\qquad\text{change the signs}\\x=7\\\\\text{Put the value of x to (1):}\\\\y=3(7)-26=21-26=-5[/tex]
Answer:
y=-5
Step-by-step explanation:
I did the text
Given: circle k(O), mAB =(6x−50)°, m∠BCA=(2x)°
Find: m∠BAC
Answer:
40°
Step-by-step explanation:
arc AB has twice the measure of the inscribed angle BCA that intercepts it, so we have the relation ...
(6x-50)° = 2(2x)°
2x -50 = 0
2x = 50
So, angle BCA has measure 50°. Since AC is a diameter, angles BCA and BAC are complementary. Thus ...
m∠BAC = 90° - m∠BCA = 90° - 50°
m∠BAC = 40°
At a middle school, 39% of the students jog and 35% of the student do aerobic exercise. One out of every five students who do aerobic exercise also jogs.
what's the question????
The mean of the data set is 40 and one standard deviation is 5. About what percent of the numbers fall between 35 and 50?
53.2%
68.2%
77.4%
81.8%
Answer:
The correct option is D. 81.8%
Step-by-step explanation:
Mean of the data set is given to be 40
⇒ μ = 40
Standard deviation of the data set is given to be 5
⇒ σ = 5
Now we are supposed to find out what percent of the numbers fall between 35 and 50
[tex]\implies z =\frac{x-\mu}{\sigma}[/tex]
Now for P(35 < x < 50) :
Substitute x = 35 ⇒ z = -1
Substitute x = 50 ⇒ z = 2
So, P(-1 < z < 2) = P(z < 2) - P(z < -1)
⇒ P(-1 < z < 2) = 0.9772 - 0.1587
⇒ P(-1 < z < 2) = 0.8185
⇒ P(-1 < z < 2) = 81.8%
Therefore, 81.8% percent of the numbers fall between 35 and 50
Hence, The correct option is D. 81.8%
ASAP‼️‼️‼️
Simplify the expression (x)^2(2xy^3)^5
A. 10x^3y^8
B. 32x^7^15
C. 32x^7y^8
D. 2x^3y^15
[tex]x^{2} (2xy^3)^5\\x^2(32x^5y^15)\\32x^7y^15[/tex]
your answer is B
Help me !! Accidentally checked in
Answer:
27 is correct.
Step-by-step explanation:
Answer: a) 27
Step-by-step explanation:
[tex]81^{\frac{3}{4}}=(3^4)^{\frac{3}{4}}=3^{\frac{12}{4}}=3^3=3\cdot 3\cdot 3=\boxed{27}[/tex]
52) (−18)(7) = A) −120 B) −126 C) 120 D) 126
Answer:
B
Step-by-step explanation:
Just multiply it, which multiplies up to -126.
Answer:
Positive 126
Step-by-step explanation:
Because if you multiply a positive with a negative it becomes positive. So -18*7 would equal positive 126
solve for y 48= 8/3y
Answer:
y = 18
Step-by-step explanation:
To find the value of y, you must multiply the fraction 8/3 by its reciprocal 3/8 to both sides. That means you do 48 times 3/8 to get your y value. Once you multiply you get 144/8 which simplifies to 18.
I need help in this!!!!!
Answer:
B.) m∠3 would need to be doubled
Step-by-step explanation:
since AC and BD are parrallel, the angles would have to match up - meaning - if the m∠6 side is doubled then the m∠3 side need to be doubled as well -
hope this helps!!