Answer:
29/69 (= 0.42)
Step-by-step explanation:
there are several ways to do this, one way is to use fractions:
Expressing each decimal in improper fractions:
14.5 = 14 1/2 = 29/2
34.5 = 34 1/2 = 69/2
Hence,
14.5 ÷ 34.5
= 29/2 ÷ 69/2
= 29/2 x 2/69
= 29/69 (answer)
If you need the answer in decimal, you can use long division to do 29÷69 and you will get 0.42 (nearest hundredth)
The graph of g(x) resembles the graph of f(x=x)^2, but it has been changed. Which of these is the equation of g(x)?
Answer:
A. g(x) + 3/5x^2 - 3
Step-by-step explanation:
Well we can tell that the parabola is wider than its parent function "y=x^2",
Meaning x is now a fraction or a decimal less than 1.
So we can eliminate choices B and D.
Also we can see that the y intercept is at -3 because thats where the parabola touches the y axis.
Thus,
the answer is choice A. [tex]g(x) + \frac{3}{5} x^2 - 3[/tex].
Hope this helps :)
Can someone tell me the value of “b”?
I would appreciate the help! Thank you.
A jeweler needs to melt some 18 -karat gold to make a necklace. The melting point for 18-karat gold is 1700 Fahrenheit. Convert this Fahrenheit temperature to a Celsius temperature. Round your answer to one decimal place.
Answer: 926.7°C
Step-by-step explanation:
1700°F=926.7°C
(1700°F-32)•5/9=926.667°C
926.667°C rounded to one decimal place 926.7°C
The jeweler needs 926.7 °C temperature to melt 18-karat gold.
What is temperature?Temperature is a measurement to observe heat. The S.I. unit of temperature is Kelvin.
Given that,
Melting point of 18-karat gold is 1700 Fahrenheit
To convert Fahrenheit into Celsius, use formula,
C = 5/9(F-32),
C=5/9(1700-32)
C=5/9×1668
C=926.666
The required temperature in Celsius is 926.7 °C.
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A line is defined by the equation y = two-thirds x minus 6. The line passes through a point whose y-coordinate is 0. What is the x-coordinate of this point? A coordinate plane.
Answer:
9
Step-by-step explanation:
Put the given information into the equation and solve for x.
y = (2/3)x -6
0 = (2/3)x -6 . . . . . substitute for y
0 = x - 9 . . . . . . . . multiply by 3/2
9 = x . . . . . . . . . . . .add 9
The x-coordinate of the x-intercept point is 9.
Answer:
x=9
hope this helps :>
The temperature each hour in Elma, Texas on October 1 is modelled by the equation
t(h) = 10 cos(15h - 10)° + 30 where his hour of the day with 0 meaning midnight, and t is the
temperature in degrees Celsius. How hot did it get in Elma on October 1?
Answer:
[tex]39.8^{\circ} C[/tex]
Step-by-step explanation:
We are given that the temperature each hour in Elma Texas on October 1 is modelled by the equation
[tex]t(h)=10cos(15h-10)^{\circ}+30[/tex]
Where h=Hour of the day with 0 meaning midnight
t=Temperature in degree Celsius
We have to find the temperature on October 1.
Substitute h=0
[tex]t(0)=10cos(15(0)-10)+30[/tex]
[tex]t(0)=10cos(-10)+30[/tex]
[tex]t(0)=39.8^{\circ} C[/tex]
Hence, the temperature in Elma on October 1=[tex]39.8^{\circ} C[/tex]
in the function equation ff (xx ) = 1500 (1.43)^xx, is it growth or decay? what is the percent of the growth/decay? what is the initial value?
Answer:
The initial value is 1500
growth
43 % growth
Step-by-step explanation:
Exponential equations are in the form
y = a * b^x
a is the initial value
b is the growth or decay
b>1 is growth b-1 rate of growth
b <1 decay 1-b rate of decay
f(x) = 1500 * 1.43 ^x
The initial value is 1500
1.43 > 1 so it is growth
1- 1.43 = .43
Change to percent
43 % growth
PLEASE HELP ASAPPP ‼️‼️‼️‼️‼️
Answer:
See the attachment below.
Step-by-step explanation:
Best Regards!
The tens digit exceeds the units digit by 3. If the units digit is r what is the value of the number ?
Answer:
we have a number of two digits, ab.
The tens digit is a. the unit digit is b.
We know that:
a = 3 + b
b = r.
We can replace the second equation in the first one, and get:
a = 3 + r.
Then we have that our number is:
(3 + r) for the tens digit, and r for the unit digit.
Now, remember that the maximum possible digit is 9.
then the maximum possible value of r comes from.
3 + r = 9
r = 9 - 3 = 6.
Then the possibles values of r are: 0, 1, 2, 3, 4, 5 and 6.
Answer:
r=6
Step-by-step explanation:
How do you simplify:
[tex] \sqrt{(125 ^{2} } ) ^{ - \frac{1}{3} } [/tex]
Answer:
[tex]\huge\boxed{\sqrt{(125^2)^{-\frac{1}{3}}}=\dfrac{1}{5}}[/tex]
Step-by-step explanation:
[tex]\sqrt{(125^2)^{-\frac{1}{3}}}\qquad\text{use}\ (a^n)^m=(a^m)^n\\\\=\sqrt{\left(125^{-\frac{1}{3}\right)^2}\qquad\text{use}\ \sqrt{a^2}=a\ \text{for}\ a\geq0\\\\=125^{-\frac{1}{3}}\qquad\text{use}\ a^{-n}=\dfrac{1}{a^n}\\\\=\dfrac{1}{125^\frac{1}{3}}\qquad\text{use}\ a^\frac{1}{n}=\sqrt[n]{a}\\\\=\dfrac{1}{\sqrt[3]{125}}=\dfrac{1}{5}\qquad\text{because}\ 5^3=125[/tex]
In the image, point A marks the center of the circle. Which two lengths must form a ratio of 1:2?
A.
A F:AE
B.
BC:EF
C.
EF:AI
D.
AI:EF
E.
AI:AD
Answer: AI:EF
Step-by-step explanation:
Answer:
D. ) AI:EF
Step-by-step explanation:
PLATO
At a DBE lecture of 100 students, there are 29 women and 23 men. Out of these students, 4 are teachers and 24 are either men or teachers. Find the number of women teachers attending the lecture?
Answer:
The number of women teachers attending the lecture is 1.
Step-by-step explanation:
Denote the variables as follows:
M = men
W = women
T = teacher
The data provided is:
n (M) = 23
n (W) = 29
n (T) = 4
n (M ∪ T) = 24
Compute the number of men teachers as follows:
[tex]n(M\cap T)=n(M)+n(T)-n(M\cup T)[/tex]
[tex]=23+4-24\\=3[/tex]
Compute the number of women teachers as follows:
[tex]n(T)=n(M\cap T)+n(W\cap T)[/tex]
[tex]4=3+n(W\cap T)[/tex]
[tex]n(W\cap T)=1[/tex]
Thus, the number of women teachers attending the lecture is 1.
Abigail was skateboarding home when the wheel axle of her skateboard broke. She had already traveled two thirds of the way home and had to walk the rest of the way. Walking the rest of the way home took her twice as long as it took her to ride her skateboard. How many times faster is Abigail on her skateboard than she is walking?
Answer:
The number of times Abigail is faster on her skateboard than she is walking is 2 times faster
Step-by-step explanation:
Let the distance to Abigail's home = D
The distance Abigail had traveled before hr skateboard broke = 2/3·D
The distance from home where the skateboard broke = D - 2/3·D = 1/3·D
The time it took Abigail to walk the 1/3·D home = Twice the time it will take her if she was on her skateboard
Let the time it will take Abigail to travel the 1/3·D home on her skateboard = t
Therefore;
The time it took Abigail to walk the 1/3·D home = 2 × t
The speed of Abigail walking, [tex]s_w[/tex]= Distance/Time = 1/3·D/(2 × t) = D/(2·t)
The speed of Abigail skateboarding, [tex]s_s[/tex]= Distance/Time =D/t
The ratio of the speed of Abigail skateboarding to the speed of Abigail walking = [tex]\dfrac{s_s}{y_w} = \dfrac{\dfrac{D}{t} }{\dfrac{D}{2 \times t} } = \dfrac{D}{t} \times \dfrac{2 \times t}{D} = 2[/tex]
Therefore, Abigail is two times faster on her skateboard than she is walking.
PLS HELP ASAP The following probability distribution table shows information collected from a survey of students regarding their grade level and the transportation they use to arrive at school. What is the probability that a randomly selected eighth grader takes the bus?
Answer:
44%
Step-by-step explanation:
For these types of problems, look at the totals. We know that there are 0.44 out of 1 eighth graders. Since it doesn't specify how the 8th grader is dropped off, we take 0.44 and divide it by 1 (the total). We get 0.44, but since it's most likely asking for percentages, multiply that by 100.
Erica can run 1/6 start fraction, 1, divided by, 6, end fraction of a mile in a minute. Her school is \dfrac23 3 2 start fraction, 2, divided by, 3, end fraction of a mile away from her home. At this speed, how long would it take Erica to run home from school?
She runs 1/6 mile per minute.
School is 2/3 of a mile away from her home.
Rewrite 2/3 to have the same denominator as 1/6:
2/3 = 4/6
Divide distance by speed:
4/6 / 1/6 = 4/6 x 6/1 = 24/6 = 4
It will take her 4 minutes.
Which is true about the domains and ranges of the functions f(x) = 1/8sqrt(x) and g(x) = 8sqrt(x)?
They have the same domain and range.
They have different domains and different ranges.
They have the same range but different domains.
They have the same domain but different ranges.
Answer:
They have the same domain and range.
Step-by-step explanation:
Since both are derived from the parent graph f(x) = √x, we know that the domain of the parent graph is [0, ∞) and the range is also [0, ∞). Since both graphs are only being modified by vertical stretch/shrink, they still have the same domain and range as the parent graph. Therefore, both graphs have the same domain and range.
Answer:
They have the same domain and range
Step-by-step explanation:
they're both in the first quadrant
What value of x is in the solution set of 4x – 12 ≤ 16 + 8x?Which is a correct first step in solving the inequality –4(2x – 1) > 5 – 3x?
Distribute –4 to get –8x + 4 > 5 – 3x.
Distribute –4 to get –8x – 1 > 5 – 3x.
Subtract 2x from both sides of the inequality.
Add 1 to both sides of the inequality.
Answer:
B:
Distribute –4 to get –8x – 1 > 5 – 3x.
Robyn saves up $204 and spends $32.50 on books. She wants to purchase more books from a sale where they cost $8.15 each. Which equation represents the situation? A. 204x=8.15+32.5 B. 8.15x+32.5=204 C. 8.15+32.5x=204 D. 32.5x=204⋅8.15
Answer: B
Step-by-step explanation:
If we assume the no. of books to be x.
Value of more books will be 8.15 x
The equation will be
8.15x + 32.5 = 204
Help with this pls, I am giving brainliest :D
Answer: 30 degrees
I think I got it correct
1. A bag contains 15 red balls and 6 blue balls. Find the probability of picking at random a blue ball from the bag.
2. A bag contains 6 white and 8 red balls. What is the probability that a ball picked at random will be a white ball ?
3. There are 12 red and 8 blue balls in a bag. If a ball is selected at random from the bag, what is the probability that it is
red ?
4. A bag contains 4 blue and 8 red balls. What is the probability of picking a blue ball at random from the bag?
5. A bag contains 6 blue and 5 black balls. Wihat is the probability of picking a black ball at random?
Answer:
1. 6/21
2. 6/14
3. 12/20
4. 4/12
5. 5/11
Step-by-step explanation:
color of ball your looking for/Total amount of balls
Probability for the situations given are 1. 6/21, 2. 3/7, 3. 3/5, 4. 1/3 and 5. 5/11.
What is Probability?Probability is the chance of getting an outcome for an event. Probability is calculated by dividing the number of likely outcomes by the total number of outcomes.
1. Number of red balls = 15
Number of blue balls = 6
Total number of balls = 15 + 6 = 21
Probability of getting a blue ball = 6/21
2. Number of white balls = 6
Number of red balls = 8
Total number of balls = 6 + 8 = 14
Probability of getting a white ball = 6/14 = 3/7
3. Number of red balls = 12
Number of blue balls = 8
Total number of balls = 20
Probability of getting a red ball = 12/20 = 3/5
4. Number of blue balls = 4
Number of red balls = 8
Total number of balls = 12
Probability of getting a blue ball = 4/12 = 1/3
5. Number of blue balls = 6
Number of black balls = 5
Total number of balls = 11
Probability of getting a black ball = 5/11
Hence the probabilities of selecting a ball at random in each case has been answered.
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Peter makes a large amount of pink paint by mixing red and white paint in the ratio 2 : 3. Red paint costs £80 per 10 litres. White paint costs £5 per 10 litres. Peter sells his pink paint in 10-litre tins for £60 per tin. Calculate how much profit he makes for each tin he sells
Answer: £25
Step-by-step explanation:
Given the following :
pink paint production = mixing red and white paint in the ratio 2 : 3
Price of red paint = 80 per 10 Litre
Price of white paint = 5 per 10 Litre
Selling price of pink paint = £60 per 10 litre
Recall the ratio of red to white paint :
2 : 3 ; 2 +3 = 5
Therefore,
Amount of Red paint used:
= (2/5) × 10 ; 20/5 = 4,
Cost per Litre = 80 / 10 = £8
Cost of red paint = 4 × 8 = £32
Amount of white paints used:
= (3/5) × 10 ; 30/5 = 6
Cost per Litre = 5 / 10 = £0.5
Cost of white paint = 6 × 0.5 = £3
Total cost of production = £(32 + 3) = £35
Profit = selling price - product cost
Profit = £(60 - 35) = £25
Differentiate x^(-3)/3-2x^2-x^(-1)
Answer:
-2x^2
Step-by-step explanation:
Simplify
x^-1 - 2x^2 - x^-1
becomes
-2x^2
What are the solutions to the equation |y – 3| = 2? 1. Rewrite for two solutions: (y–3) = 2, –(y–3) = 2 2. Solve the first equation: y = 5 3. Solve the second equation: –y + 3 = 2 The solutions to the equation |y − 3|= 2 are and .
Answer:
y = 5 or y = 1
Step-by-step explanation:
|y - 3| = 2
y - 3 = 2 or y - 3 = -2
y = 5 or y = 1
plz help :( what is 10,000,000(20)^10 !?
Answer: 102,400,000,000,000,000,000
Step-by-step explanation:
First do 20^10 = 10,240,000,000,000.
Then, multiply 10,240,000,000,000 * 10,000,000 to get 102,400,000,000,000,000,000.
Hope it helps <3
What is the value of x in the equation 4x +8y=40, when y=0,8?
Answer:
x=8.4
Step-by-step explanation:
4x +8y=40
replace y as 0.8
4x+8*0.8=40
4x+6.4=40
subtract 6.4 from both sides
4x=33.6
divide by 4
x=8.4
Step-by-step explanation:
4x + 8y = 40
Simplify the equation
Divide all terms by 4
We have
x + 4y = 10
Make x the subject
x = 10 - 2y
When y = 0.8
Substitute the value of y into the equation
We have
x = 10 - 2(0.8)
x = 10 - 1.6
x = 8.4
Hope this helps you
Draw the graphs of y=2x plus 1
Hey there! :)
Answer:
Graphed below.
Step-by-step explanation:
Graphing y = 2x + 1 can be done by finding points on the line. Find the y and x intercepts to make graphing more simple:
Solving for the y-intercept:
y = 2(0) + 1
y = 1, or (0, 1). This is the y-intercept.
Solving for the x-intercept:
0 = 2x + 1
Subtract 1 from both sides:
-1 = 2x
Divide both sides by 2:
x = -1/2, or (-1/2, 0). This is the x-intercept. We can graph the equation given these two points.
What value of n makes the equation true?
-1/5n + 7=2
n=
Answer:
n = 25
Step-by-step explanation:
Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operation, and is:
Parenthesis
Exponents & roots
Multiplication
Division
Addition
Subtraction
~
First, subtract 7 from both sides:
(-1/5)n + 7 (-7) = 2 (-7)
(-1/5)n = 2 - 7
(-1/5)n = -5
Next, multiply -5 from both sides:
(-1/5)(-5)n = (-5)(-5)
n = -5 * -5
n = 25
25 is your answer for n.
~
Answer: n = 25
Step-by-step explanation: In this equation, our first step is to isolate the n term by subtracting 7 from both sides.
On the left, +7 -7 cancels and we're left with -1/5n.
On the right, 2 - 7 simplifies to -5.
So we have -1/5n = -5.
In order to get n by itself, since it's being multiplied by a fraction,
we multiply both sides of the equation by the reciprocal of that fraction.
The reciprocal of -1/5 is -5/1.
So we multiply both sides of the equation by -5/1.
So we have (-5/1)(-1/5n) = -5(-5/1).
On the left, our 1's cancel and our 1's cancel.
Also, remember that a negative times a negative is a positive.
So on the left we are left with n.
On the right, -5(-5/1) is 25.
So n = 25.
As an estimation we are told £3 is €4. Convert £34.50 to euros.
Answer:
46 euros
Step-by-step explanation:
£30 = 40 euros
4.50 = £3 and £1.50
£3 = 4 euros
1.50 = 2 euros because you half the 4 euros because half of 3 is 1.50
hope this helps if not sorry
Answer:
€46
Step-by-step explanation:
→ We know £3 = €4, so we have to work out how many euros in £1
£3 = €4
(÷3) (÷3)
£1 = €1.3
→ Now we multiply £34.50 by €1.3 because we know £1 = €1.3
£34.50 × €1.3 = €46
Use the point-slope equation to identify the slope and the coordinates of a point
on the line y - 4 = (x - 1).
The slope of the line is
A point on the line is
Intro
Done
Answer:
The slope of the line is 1 A point on the line is (1, 4)Step-by-step explanation:
[tex]y-y_1=m(x-x_1)[/tex] - point-slope form of Equation of the Line
[tex]y - 4 = (x - 1)\implies\ \ m=1\,,\ x_1=1\,,\ y_1=4[/tex]
Answer:
M=1/2 AND 1/4
Step-by-step explanation:
Helppp!!!! please!!!
Answer:
A) 120 ft^2
Step-by-step explanation:
The total surface area is the sum of the areas of the 4 congruent triangular sides and the area of the square base.
TA = 4 * area of triangle + area of square
TA = 4 * bh/2 + s^2
TA = 4 * 6 ft * 7 ft/2 + (6 ft)^2
TA = 84 ft^2 + 36 ft^2
TA = 120 ft^2
Answer:
A) 120 ft^2
Step-by-step explanation:
A pyramid arena in Galveston, TX is a rectangular pyramid with a base area of 70,840ft^2 and a height of 12 stories. Each story is approximately 10 feet. Estimate the volume in cubic feet.
Answer:
approximate volume = = 28336 cubic ft.
Step-by-step explanation:
Base area = 70840 sq. ft
Each story is about 10 ft.
approximate height = 12*10 = 120 '
Volume of pyramid
= Base * height /3
= 70840 * 120 / 3
= 28336 cubic ft.
Answer: 2,833,600 [tex]ft^{3}[/tex]
Step-by-step explanation: Please see the image below!