Answer:
True
Step-by-step explanation:
Answer:
true
Step-by-step explanation:
Given f(x)=x-1 and g(x)=-x+1, find (f•g)(x)
[tex](fog)(x) = -x[/tex]
Step-by-step explanation:
The composition is calculated by putting the other function in place of variable
Given
[tex]f(x) = x - 1\\g(x) = -x+1[/tex]
The composition will be:
[tex](fog)(x) = g(x) -1\\=(-x+1) -1\\=-x+1-1\\=-x[/tex]
Hence,
[tex](fog)(x) = -x[/tex]
Keywords: Composition, Functions
Learn more about composition at:
brainly.com/question/2977815brainly.com/question/3071107#LearnwithBrainly
Please help me!
A recipe uses 8 3/4 cups of milk for every 3 1/2 cups of oatmeal.
How many cups of milk are used for each cup of oatmeal?
Enter your answer as a mixed number in simplest form.
Thank you! :)
Answer:
2[tex]\frac{1}{2}[/tex] cups
Step-by-step explanation:
Given, a recipe uses 8[tex]\frac{3}{4}[/tex] cups of milk for every 3[tex]\frac{1}{2}[/tex] cups of oatmeal.
So, For each 8.75 cups of milk ,3.5 cups of oatmeal is required.
Or,
we can say 3.5 cups of oatmeal require 8.75 cups of milk.
Thus,
1 Cup of oatmeal will require [tex]\frac{8.75}{3.5}[/tex] cups of milk.
= 2.5 cups of milk .
Thus answer is 2.5 cups, Which we can write 2 + 0.5 cups
= 2[tex]\frac{1}{2}[/tex] cups (In mixed form)
Air pressure may be represented as a function of height above the surface of
the Earth as shown below.
P(h) = P.e-.000121
In this function, Pois air pressure at sea level, and his measured in meters.
Which of the following equations will find the height at which air pressure is
85% of the air pressure at sea level?
Answer:
The height is 1343.13 meters.
Step-by-step explanation:
Air pressure may be represented as a function of height h in meters above the surface of Earth as shown below :
[tex]P(h) = P. e^{-0.000121h}[/tex] ......... (1)
In this function, P is air pressure at sea level and h is measured in meters.
Let at a height of h meters the pressure is 85% of the sea level pressure.
Hence, from equation (1), we get
[tex]0.85 = e^{- 0.000121 h}[/tex]
Taking ln both sides, we can write
ln 0.85 = -0.000121 h (ln e) {Since [tex]\ln a^{b} = b \ln a[/tex]}
⇒ h = 1343.13 meters (Answer)
a train can travel 39.3 miles per hour at this speed about how far can the train travel in 6.5 hours
Answer:
Speed = 39.3 miles/hr
Time = 6.5 hrs.
Distance = Speed x time
= 39.3 x 6.5
= 245.45 miles (approx.)
Hope this helps!
Answer:
Speed = 39.3 miles/hr
Time = 6.5 hrs.
Distance = Speed x time
= 39.3 x 6.5
= 255.45 miles (approx.)
Step-by-step Explanation:
The proof for the power property of logarithms appears in the table with an expression missing.
Step
Reason
log, M)
Given
log.((b"))
Substitution
Properties of exponents
Logarithm property log, (b) = 0
Substitution
Commutative property of multiplication
Flog, (M).
Frilog, (M)
Which expression is missing from the proof?
log, (6**)
log, (6*-))
Ino/
Mark this and return
Save and Exit
Submit
Next
Answer:
[tex]log_{b}(b^{x r}) [/tex]
Step-by-step explanation:
A picture of the question is shown in the figure attached. There we can see that the step corresponding to Properties of exponents is the option:
[tex]log_{b}(b^{x r}) [/tex]
which is equivalent to
[tex]log_{b}((b^{x})^{r}) [/tex]
This question is based on the property of exponents.Therefore, the correct option is (c), [tex]\bold{log _a(b^{x r})}[/tex].
Given that :
[tex]\bold{log_a(M^r)}[/tex]
In this question, we have choose appropriate correct option for for given expression.
According to the question,
It is given that,
[tex]\bold{log_a(M^r)}[/tex] ...(1)
Now, substitute the value of M = [tex]\bold{b^{x}}[/tex]. We get,
Thus, [tex]\bold{log_a(M^r)} = \bold{log _a((b^{x})^r)}[/tex] ...(2)
As we know that, by using the property of exponents,
[tex]\bold{(x^{m})^n = x ^{mn}}[/tex]
Now, applying this property in expression (2).
We get,
[tex]\bold{log _a((b^{x})^r)} = \bold{log _a(b^{x r})}[/tex]
Therefore, the correct option is (c), [tex]\bold{log _a(b^{x r})}[/tex].
For more details, prefer this link:
https://brainly.com/question/1807508
In the box, type in the number that will correctly complete the sentence.
Nina spent $12 on a shirt and $7 on a scarf. The total effect on her budget can be expressed as Answer
dollars.
Answer:
19??
Step-by-step explanation:
Answer:
yes it is 19 all you have to do is add 12 and 7
Coached Example
V
...
Tanya walked 15 laps on an indoor track in 30 minutes. What was Tanya's avera
speed in laps per minute?
The speed formula is r = _
The distance is _ laps.
The time is minutes.
Substitute the known values into the speed formula.
r=
Simplify the fraction.
r=
Tanya's average speed was
laps per minute.
Answer:
Tanya's average speed was [tex]\frac{1}{2}[/tex] laps per minutes.
Step-by-step explanation:
Tanya walked 15 laps on an indoor track in 30 minutes.
Therefore, the average speed of Tanya is [tex]\frac{15}{30} = \frac{1}{2}[/tex] laps per minutes.
Calculation:
The average speed formula is given by [tex] V = \frac{\textrm {Distance covered}}{\textrm {Number of munutes spent}}[/tex]
The distance is 15 laps.
The time is 30 minutes.
Therefore, [tex]V = \frac{15}{30}[/tex] laps per minute.
After simplification, [tex]V = \frac{1}{2}[/tex] laps per mins.
Therefore, Tanya's average speed was [tex]\frac{1}{2}[/tex] laps per minute. (Answer)
Which expression is equivalent to (6i)^3
Step-by-step explanation:
[tex](6i)^3\qquad\text{use}\ (ab)^n=a^nb^n\\\\=6^3i^3\\\\\text{If}\ i=\sqrt{-1},\ \text{then}\\\\6^3i^3=216(-i)=-216i\\\\\text{else}\\\\6^3i^3=216i^3[/tex]
Final answer:
The expression equivalent to (6i)^3 is -216i, achieved by cubing the digit 6 to get 216 and remembering that i^3 is -i.
Explanation:
To find an expression equivalent to (6i)^3, we follow the rules of exponentiation and imaginary numbers. First, we cube the digit part, which is 6, to get 6^3 = 216. Next, we cube the imaginary unit i. Recall that i is the imaginary unit where i^2 = -1. Thus, i^3 is the same as i^2 multiplied by i, which equals to -i.
Combining these, we obtain (6i)^3 = 6^3 * i^3 = 216 * (-i) = -216i. This is the simplified form of the original expression.
The relationship between number of animals owned and the number of vet bills is an example of what type of correlation
Answer:
The relationship between number of animals owned and the number of vet bills is an example positive correlation.
Step-by-step explanation:
Correlation:
Correlation is a technique that help us to find or define a relationship between two variables. It is a measure of linear relationship between two quantities. A positive correlation means that an increase in one quantity leads to an increase in another quantity A negative correlation means with increase in one quantity the other quantity decreases. +1 tells about a a perfect positive linear relationship and −1 indicates a perfect negative linear relationship.Now, as the number of animals increase the number of vet bills will increase. Thus, it could be said that increase in one variable leads to increase in another variable.
Thus, the given relationship is an example of positive relationship or a positive correlation.
Mrs. Bailey had 12 pieces of candy. She gave away some candy and has 3 pieces left. What is the percent decrease of candy? Please show your work.
Answer:
75% decrease
Step-by-step explanation:
Answer:
75%
Step-by-step explanation:
6-?=3 complete the pairs to have a difference of 3 the first number of the pair will be the larger number ?-4=3
To complete the pairs and have a difference of 3, add 4 to both sides of the equation.
Explanation:To complete the pairs and have a difference of 3, the first number of the pair should be the larger number.
So, the equation ? - 4 = 3 can be solved by adding 4 to both sides of the equation.
? - 4 + 4 = 3 + 4
? = 7
Help this is just one math problem and I need help *15 points*
Answer: The value of x is 40
Step-by-step explanation:
Given triangle SRT,
Angle SRT = 20 and Angle SRT = Angle STR
To find Angle STU:
We know that
The sum of all interior angles of triangle is equal to 180.
Angle SRT + Angle STR + Angle RST =180
Also, Angle SRT = Angle STR =20
20+20+Angle RST=180
Angle RST=140.
Now. The exterior angle of triangle is equal to sum of opposite interior angles of triangle,
Angle STU=4x=Angle RST+Angle SRT
4x=20+140
4x=160
x=40
Therefore, The value of x is 40
Find the GCF of 45 and 75 using the prime factorization. (You can leave your answers in the prime factorization form.)
Answer:
15
Step-by-step explanation:
Answer:
3*5
Step-by-step explanation:
GCF of 45 and 75 = 15
15: 1,3,5,15
3 and 5 are prime numbers so: 3*5=15
What is six and one half times three
Answer: 19.5
Step-by-step explanation:
Given that the measure of angle 6 is 1/8 of measure of angle 4. Find the measures of these two angles if a∥b.
Answer:
see explanation
Step-by-step explanation:
Let ∠4 be x then ∠6 is [tex]\frac{1}{8}[/tex] x
∠4 and ∠6 are same side interior angles and are supplementary, thus
x + [tex]\frac{1}{8}[/tex]x = 180
Multiply through by 8 to clear the fraction
8x + x = 1440, that is
9x = 1440 ( divide both sides by 9 )
x = 160
Hence ∠4 = 160° and ∠6 = 160° ÷ 8 = 20°
Answer:
[tex]m \angle 4 = 160 \°\\m \angle 6 = 20 \°[/tex]
Step-by-step explanation:
From the graph, we can say that
[tex]m \angle 6 + m \angle 4 = 180 \°[/tex]
Because they are consecutive interior angles, and they sum 180° by definition. So, the reason of third statement is "by definition of consecutive interior angles".
We already know that
[tex]m \angle 6 = \frac{1}{8} \times m \angle 4[/tex]
But,
[tex]m \angle 6 + m \angle 4 = 180 \°\\m \angle 6 = 180\° - m \angle 4[/tex]
Replacing this, we have
[tex]180\° - m \angle 4=\frac{1}{8}(m \angle 4)\\(\frac{1}{8}+1) (m\angle 4)=180\°\\\frac{9}{8}(m\angle 4) = 180 \°\\ m \angle 4 = \frac{180(8)}{9}= 160\°[/tex]
Then,
[tex]m \angle 6 + m \angle 4 = 180 \°\\m \angle 6 + 160\° =180\°\\m \angle 6 = 180-160=20[/tex]
Therefore, the measures of these two angles are
[tex]m \angle 4 = 160 \°\\m \angle 6 = 20 \°[/tex]
five sevenths times seven thirds
5/7 x 7/3
Multiply the numerators together and the denominators:
(5 x 7) / (7 x 3)
35/21 reduces to 5/3 = 1 2/3
A rectangular pasture has a perimeter of 1000 feet. The pasture’s length is 100 feet more than its width. What Is the area of pasture?
The area of pasture is 60000 square feet.
Step-by-step explanation:
Perimeter of rectangular pasture = 1000 feet
Width of pasture = w
Length of pasture = l = w+100
We know that,
Perimeter = 2(Length+width)
[tex]1000=2(w+100+w)\\1000=2(2w+100)\\1000=4w+200\\1000-200=4w\\800=4w\\4w=800[/tex]
Dividing both sides by 4
[tex]\frac{4w}{4}=\frac{800}{4}\\w=200[/tex]
Width is 200 feet.
Length = w+100 = 200+100 = 300 feet
Area of pasture = A = Length * Width
[tex]Area\ of\ pasture=300*200\\Area\ of\ pasture=60000 \ ft^2[/tex]
The area of pasture is 60000 square feet.
Keywords: rectangle, area
Learn more about rectangles at:
brainly.com/question/6108628brainly.com/question/609140#LearnwithBrainly
The question is about calculating the area of a rectangular pasture given its perimeter and relation between its length and width. After setting up equations based on the given conditions and calculating, the area of the pasture is found to be 60,000 square feet.
Explanation:The subject of this question is Mathematics, specifically dealing with the calculation of area from given perimeter and length-width relationship in a rectangle. Let's denote the width of the rectangular pasture as 'w', and its length would then be 'w+100'.
The formula for the perimeter of a rectangle is 2*(length + width). As given, the perimeter is 1000 feet, so we set up the equation: 1000 = 2*(w+100 + w).
Simplify this to get the width 'w' which is 200 feet and the length is 'w+100', so 300 feet.
The area of a rectangle is calculated by the formula length*width, therefore, calculating gives 200*300 = 60,000 square feet.
Learn more about Area of rectangle here:https://brainly.com/question/15218510
#SPJ11
Factor −1/4 out of −1/2x−5/4y. The factored expression is .
Answer:
(-1/4)(2x +5y)
Step-by-step explanation:
Multiply and divide by -1/4:
[tex]-\frac{1}{2}x-\frac{5}{4}y=\dfrac{(-\frac{1}{4})(-\frac{1}{2}x-\frac{5}{4}y)}{-\frac{1}{4}}=\left(-\dfrac{1}{4}\right)(-4)\left(-\dfrac{1}{2}x-\dfrac{5}{4}y\right)\\\\=\left(-\dfrac{1}{4}\right)\left(2x+5y)[/tex]
How do I get the Central angle?
Answer:
199.8°
Step-by-step explanation:
The circle has radius r = 7 ft.
Now, the circumference of the circle is given by the formula C = 2πr
So, [tex]C = 2 \times \frac{22}{7} \times 7 = 44[/tex] ft.
Now, 44 ft arc length is equivalent to 360°
Hence, 24.42 ft arc length is equivalent to [tex]\frac{360}{44} \times 24.42 = 199.8[/tex] degree.
Therefore, the central angle is 199.8° (Answer)
20. At a real estate agency, an agent sold a house for $382,000. The commission
rate is 5.5% for the real estate agency. The commission for the agent is 30%
of the amount the real estate agency gets.
Answer:
The amount which real estate agency gets is $ 21,010 .
Step-by-step explanation:
Given as :
The selling price for a house = $ 382,000
The commission rate for real estate agency = 5.5 %
The commission rate for the agent = 30 %
So, the commission which real estate agency get = 5.5 % of $ 382,000
I.e the commission which real estate agency get = 0.055 × $ 382,000
Or, the commission which real estate agency get = $ 21,010
Again ,
The commission which agent get = 30 % of $ 382,000
I.e the commission which agent get = 0.3 × $ 382,000
Or, the commission which agent get = $ 114,600
Hence The amount which real estate agency gets is $ 21,010 . answer
The agent earns a commission of $6,303 from the $382,000 house sale. This is calculated by first determining the real estate agency's commission of 5.5% on the sale price, which is $21,010. Then calculating 30% of this figure, which is the agent's earnings.
Explanation:To calculate the total commission the agent will receive, you first have to calculate how much the real estate agency gets, and then calculate the agent's earnings based on that number.
The real estate agency's commission is 5.5% of the total sold price of the house. This can be calculated as:
(5.5 / 100) * $382,000 = $21,010
The agent then receives 30% of this amount, which you calculate as:
(30 / 100) * $21,010 = $6,303
Therefore, the agent earns a commission of $6,303 from the sale of the house.
Learn more about Commission Calculation here:https://brainly.com/question/6615293
#SPJ11
1/4x-7.6=7.5 round your answer to the nearest hundredth
Answer:
x=60.4
Step-by-step explanation:
Add 7.6 on both sides
1/4x=15.1
Multiply both sides by 4
x= 60.4
what is (4x-7)-(2x-2) i want the answer please and thank you
Answer:
2x-5
Step-by-step explanation:
(4x-7)-(2x-2)=4x-2x-7-(-2)=2x-7+2=2x-5
Answer:
2x-5
Step-by-step explanation:
The school principal determined that 1/4 of the original student school desk would need to be replaced this year 50 teachers would also receive new improved us a total of 295 student and teacher desk or purchased how many original student desks were there before the purchase was made
There were 980 student desks originally.
Step-by-step explanation:
Number of desks purchased = 295
Desks bought for teacher = 50
Desks for students = No. of desks purchased - desks bought for teachers
Desks for students = 295 - 50 = 245
This is 1/4 of number of original student desks.
Let x be the number of original student desks.
According to statement;
[tex]\frac{1}{4}\ of\ x=245\\\frac{1}{4}x=245[/tex]
Multiplying both sides by 4;
[tex]4*\frac{1}{4}x=245*4\\x=980[/tex]
There were 980 student desks originally.
Keywords: subtraction, multiplication
Learn more about subtraction at:
brainly.com/question/6166224brainly.com/question/6112033#LearnwithBrainly
___can be hard for children to control, but helps free their tension.
A. Collage
B. Mural
C. Tempera painting
D. Finger painting
Answer:
Option(D)
Finger Painting can be hard for children to control, but helps free their tension
Explanation:
Finger painting is a form of art in which the paintings or drawings are created by using fingers instead of a pen, pencil or brush.In this the fingers are dipped in paint and then the drawings are made by using bare hands.
This is a hard technique to make a painting or illustration and hence can be hard for children to control, but since it involves sensing touch, it helps release the tension and soothe the mind of the person who does painting using this method.
The equation of three lines are given below
Line 1: 2y= 5x +6
Line 2: y=2/5x-1
Line 3: 10x+4y=-6
For each pair of lines, determine whether they are parallel perpendicular or neither
Answer:
The line 2 and Line 3 are perpendicular to each others
But There is no relation between Line 1 and Line 2 , Line 1 and Line 3
Step-by-step explanation:
Given as :
The three line equation is
Line 1 : 2 y = 5 x + 6
Line 2 : y = [tex]\frac{2}{5}[/tex] x - 1
Line 3 : 10 x + 4 y = - 6
Now, The standard equation of line is
y = m x + c
where m is the slope of line
And c is the y intercept
So, From Line 1
2 y = 5 x + 6
or , y = [tex]\frac{5}{2}[/tex] x + [tex]\frac{6}{2}[/tex]
I.e y = [tex]\frac{5}{2}[/tex] x + 3
So, slope of this line = [tex]m_1[/tex] = [tex]\frac{5}{2}[/tex]
Again , From Line 2
y = [tex]\frac{2}{5}[/tex] x - 1
So, slope of this line = [tex]m_2[/tex] = [tex]\frac{2}{5}[/tex]
Similarly , From Line 3
10 x + 4 y = - 6
I.e 4 y = - 6 - 10 x
or, y = - [tex]\frac{6}{4}[/tex] - [tex]\frac{10}{4}[/tex] x
I.e y = - [tex]\frac{5}{2}[/tex] x - [tex]\frac{6}{4}[/tex]
So, Slope of this line = [tex]m_3[/tex] = - [tex]\frac{5}{2}[/tex]
Now, If the lines are parallel , then the slope of the lines are equal
And If the lines are perpendicular , then the product of the slopes of the lines = - 1
Now, From given lines
[tex]m_2[/tex] × [tex]m_3[/tex] = [tex]\frac{2}{5}[/tex] × ( - [tex]\frac{5}{2}[/tex] )
I.e [tex]m_2[/tex] × [tex]m_3[/tex] = - 1
So, The line 2 and Line 3 are perpendicular to each others
But There is no relation between Line 1 and Line 2 , Line 1 and Line 3
Hence The line 2 and Line 3 are perpendicular to each others
But There is no relation between Line 1 and Line 2 , Line 1 and Line 3 Answer
Omar drove 737 miles in 11 hours.At the same rate,how long would it take him to drive 871 miles?
Answer:13 hours
Step-by-step explanation:
So you would divide 737 (miles) by 11 (hours) in order to find how far he traveled in 1 hour. You should get 67. So he travels at 67 miles in 1 hour. Then you would divide 871(total miles) by 67(distance traveled in 1 hour) to find out how many hours it took to travel 871. You should get 13(hours).
Hoped it helped.
Find the 7th term in the
sequence
1, -3, 9, -27,...
Answer: 729
Step-by-step explanation: 1st term X common ratio(desired term-1)
The 7th term in the sequence is -2187.
Explanation:To find the 7th term in the sequence 1, -3, 9, -27, ..., we can observe that each term is obtained by multiplying the previous term by -3. Therefore, to find the 7th term, we start with the first term 1 and repeatedly multiply by -3:
1 × -3 = -3-3 × -3 = 99 × -3 = -27-27 × -3 = 8181 × -3 = -243-243 × -3 = 729729 × -3 = -2187So, the 7th term in the sequence is -2187.
Learn more about Sequences here:https://brainly.com/question/36944481
#SPJ2
A 7-digit number
12
A
019
B
is divisible by 72. What is
A
×
B
?
Answer:
6
Step-by-step explanation:
Because you have to added than reverse the question than it will give you your answer backwards
18 is what percentage of 30
Answer:
60%Step-by-step explanation:
[tex]\bold{METHOD\ 1:}\\\\\text{Calculate what fraction of 30 is 18 and convert it to percent:}\\\\\dfrac{18}{30}=\dfrac{18:6}{30:6}=\dfrac{3}{5}\\\\\dfrac{3}{5}\cdot100\%=\dfrac{300}{5}\%=60\%[/tex]
[tex]\bold{METHOD\ 2:}\\\\\begin{array}{ccc}30&-&100\%\\\\18&-&p\%\end{array}\qquad\text{cross multiply}\\\\\\(30)(p)=(18)(100)\\\\30p=1800\qquad\text{divide both sides by 30}\\\\\dfrac{30p}{30}=\dfrac{1800}{30}\\\\p=60[/tex]
Final answer:
18 is 60% of 30, calculated by dividing 18 by 30 and then multiplying the result by 100.
Explanation:
Calculating the Percentage
To determine what percentage 18 is of 30, you can use the formula for calculating percentages:
Divide the number you want to find the percentage of (18 in this case) by the total number or 'whole' value (which is 30).
Multiply the result from step 1 by 100 to find the percentage.
So, the calculation is (18 ÷ 30) × 100, which equals 60%. Therefore, 18 is 60% of 30.
35 POINTS AND BRAINILEST IF ALL CORRECT
Classify the number into the SMALLEST subset possible. (picture below)
Answer:
See step-by-step explanation
Step-by-step explanation:
Whole numbers are [tex]0,\ 1,\ 2,\ 3,\ 4,\ ...[/tex]
Integer but not whole numbers are [tex]...,\ -4,\ -3,\ -2,\ -1[/tex]
Rational numbers are fractions
Irrational numbers are numbers that are not rational
[tex]\pi[/tex] is irrational number
[tex]-100[/tex] is integer but not whole number
[tex]-34[/tex] is integer but not whole number
[tex]-4[/tex] is integer but not whole number
[tex]-\dfrac{8}{4} =-2[/tex] is integer but not whole number
[tex]0.333...=\dfrac{1}{3}[/tex] is rational number
[tex]0.456783...[/tex] is irrational number
[tex]3[/tex] is whole number
[tex]9.23456=\dfrac{923,456}{100,000}[/tex] is rational number
[tex]\sqrt{4}=2[/tex] is whole number
[tex]\sqrt{8}=2\sqrt{2}[/tex] is irrational number
[tex]\dfrac{1}{2}[/tex] is rational number
[tex]\dfrac{49}{7}=7[/tex] is whole number
[tex]\dfrac{89}{10}[/tex] is rational number
[tex]zero[/tex] is whole number