(a.) 0.09
equation:
f(x) = log(x)
rate of change:
[tex]\sf \rightarrow \sf \dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\sf \rightarrow \sf \dfrac{log(4) -log(6)}{4-6}[/tex]
[tex]\sf \rightarrow 0.088[/tex]
[tex]\sf \rightarrow 0.09[/tex]
Answer:
[tex]A.\: 0.09[/tex]
Step-by-step explanation:
Rate of Change is: [tex]\frac{y{_1-y{_2} } }{x_2-x_1}[/tex]
[tex]\frac{log(4)-log (6)}{4-6}[/tex]
[tex]0.088[/tex]
[tex]0.09[/tex]
I need help on this question, think any of you guys could help?
Answer:
We need to find the circumference, and in order to find the circumference we must know the formula for it.
Formula for circumference of a circle;
a = 2πr
Where π is the pi(3.14 or 22/7), and r is the radius which is half of the diameter.
Since we are given the diameter, we need to find the radius. So 1/2 of the diameter (26 x 1/2) = is 13
Now we just plug in the actual values in the formula:
a = 2πr
a = 2 x 3.14 x 13
a = 18.84 feet
But now, we need to find how many revolutions it would take to get to 500 feet.
So we divide 500 feet by 18.84 feet;
500/18.84 = 26.53, around 27 revolutions.
PLEASE HELP ME!
Which is a solution of the inequality x + 2 <8?
Group of answer choices
z < 4
z < 6
z = 6
z < 10
answer : z ‹ 6
explanation :
inequality given is x + 2 ‹ 8
take the +2 and move it to the back to 8, so it will be -2.
then you will directly get x ‹ 8 - 2
so the answer will be x ‹ 6.
I'm not sure whether you had the answer choice z is actually x, but if it does the answer is x ‹ 6 and not z ‹ 6
An engine is operating at 25% of its full power. Which number line shows a point that
represents 25%?
where's the number line?
The sizes of the drill bits in a set are measured in inches. Which size drill bit is greater than 1/2 inch?
A. 3/8 inch
B. 7/16 inch
C. 1/8 inch
D. 9/16 inch
In a survey, 150 people said they prefer shopping online. 75% said they prefer shopping online. How many people were surveyed?
A. 300
B. 225
C. 200
D. 125
Allison hikes 4/3 miles in 1/2 hour. What is her unit rate in miles per hour?
Answer:
ok so we now that half a hour is 30 minutes so in 30 minutes she walked 4/3 of a miles so lets just multiply that by 2
8/3 or 2 2/3 or a miles a hour
2.6667 mph
Hope This Helps!!!
In ΔVWX, x = 97 cm, v = 48 cm and ∠W=28°. Find the length of w, to the nearest centimeter.
The answer would be 59. This is for law of cosines (sas)
The requried length of side w is approximately 44 cm to the nearest centimeter.
What are trigonometric equations?These are the equation that contains trigonometric operators such as sin, cos.. etc, in algebraic operations.
To find the length of side w in ΔVWX, we can use the law of sines, which states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all sides and angles in the triangle. In other words:
w/sin(W) = x/sin(X)
where X is the angle opposite side x.
We are given x = 97 cm, v = 48 cm, and W = 28°. To find X, we can use the fact that the sum of the angles in a triangle is 180°:
X = 180° - W - V
X = 180° - 28° - 180°/2
X = 72°
Now we can plug in the values into the law of sines equation:
w/sin(28°) = 97/sin(72°)
Solving for w, we get:
w = sin(28°) * 97 / sin(72°) = 43.9 cm
Therefore, the length of side w is approximately 44 cm to the nearest centimeter.
Learn more about trigonometry equations here:
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Plz awnswer this in fullll plzzzzzzzzzzzzzz
Answer:
158.76 square centimeters
Step-by-step explanation:
The quadrilateral is made up of 2 right triangles if you divide the quadrilateral using line segment BD.
The triangle on the bottom has an area of 11.7*15.6/2, which is 91.26.
The triangle on the top has an area of 7.5*18/2, which is 67.5.
If you add up the area of these 2 triangles, you get 67.5 + 91.26 = 158.76
Therefore, the answer is 158.76 square centimeters.
I hope this helped you.
Answer:
It would be 158.76 square centimeters
Step-by-step explanation:
eighty-four and seven-hundredths in standard form
Answer:
84.07
Step-by-step explanation:
eighty-four is 84
hundredth is .01 so seven-hundredths is .07
so eight-four and seven-hundredths is 84.07
Answer:
84.07
Step-by-step explanation:
7 would be where it is because when you do decimals and there are numbers behind the decimals you go back words.
a jet airplane holds about 65,000 gallons of gas. It uses about 7,460 gallons when flying between new york and los angeles. Round 65,000 to largest place value.
Answer:
70,000
Step-by-step explanation:
hey you asked me to round. =D.
Yesterday, Alonso walked 6 miles in 2 hours. Assume he continued at that pace. Complete the table in the interactive, and graph the relationship.
What equation represents the relationship?
Answer: y= 3x
Step-by-step explanation:
Help!I can’t figure this out.
Answer:
i beilive it is 1/1
Step-by-step explanation:
The sum of 2 numbers is equal to 10. The difference between those same two numbers is equal to -4 find the numbers.
Answer:
3 and 7
Step-by-step explanation:
For problems like these I take the largest number in this case 10, and start writing out what 2 numbers would give me 10. 0+10, 1+9, 2+8, 3+7...while doing that I subtract the numbers as well. thus 3+7=10 3-7=-4
Find the missing dimension use the scale factor 1:20 if the length of the model is 3.75 feet to find the actual length
Answer:
i think that you forgot to attach the model?
Step-by-step explanation:
can somebody help me with this
Hey there!
5x = 120 {Obtain a formula for x }
=> [tex]\fbox{5x = 120}[/tex] { Divide both side by 5}
=> [tex]\fbox{5x/5 = 120/5}[/tex] { divide 5x by 5}
=> [tex]\fbox{x = 120/5}[/tex] { Divide 120 by 5}
=> [tex]\fbox{x = 24}[/tex]
Therefore, x = 24°
Emily buys 14 balloons 3 are red 4 are white and the rest are blue what is the ratio of blue balloons to the total number of balloons?
Answer:
The ratio of blue balloons to the total number of balloons is 1:2.
Use cross products to identify the equation needed to solve this proportion:
5x = 18
2x = 45
9x = 10
2x = 14
Answer:
2x=45
Step-by-step explanation:
i did it
Using this and the knowledge that 32° F = 0°C and 212°F = 100°C, find an equation that computes Celsius temperature in terms of Fahrenheit temperature; i.e., an equation of the form C = “an expression involving only the variable F.”
c=(f-32)/1.8
Likewise, find an equation that computes Fahrenheit temperature in terms of Celsius temperature; i.e. an equation of the form F = “an expression involving only the variable C.”
f=1.8c+32
(a) How cold was it in Oslo in °F?
(b) What temperature is it the same in °F and °C?
Answer:
(a)
Step-by-step explanation:
The relationship between temperatures measured in Fahrenheit, and in Celsius can be represented using equations.
The equations are: [tex]F = 1.8C + 32[/tex] and [tex]C = \frac{(F - 32)}{1.8}[/tex].The temperature in Oslo is [tex]60.8^oF[/tex].[tex]-40^oF[/tex] is equivalent to [tex]-40^oC[/tex]Given that:
[tex](F_1,C_1) = (32,0)[/tex]
[tex](F_2,C_2) = (212,100)[/tex]
First, calculate the slope (m)
[tex]m = \frac{C_2 - C_1}{F_2 - F_1}[/tex]
So we have:
[tex]m = \frac{100 - 0}{212 - 32}[/tex]
[tex]m = \frac{100}{180}[/tex]
[tex]m = \frac{5}{9}[/tex]
So, the equation is calculated using:
[tex]C= m(F - F_1) + C_1[/tex]
So, we have:
[tex]C = \frac 59(F - 32) + 0[/tex]
[tex]C = \frac 59(F - 32)[/tex]
Rewrite as:
[tex]C = \frac{(F - 32)}{9/5}[/tex]
[tex]C = \frac{(F - 32)}{1.8}[/tex]
To solve for F, we multiply both sides by 1.8
[tex]1.8C =F - 32[/tex]
Add 32 to both sides
[tex]F = 1.8C + 32[/tex]
(a) The temperature of Oslo in F
We have:
[tex]C = 16[/tex]
So, we make use of:
[tex]F = 1.8C + 32[/tex]
[tex]F = 1.8 \times 16 + 32[/tex]
[tex]F = 60.8[/tex]
The temperature in Oslo is [tex]60.8^oF[/tex]
(b) When F = C
We have:
[tex]F = 1.8C + 32[/tex]
Substitute F for C
[tex]F = 1.8F +32[/tex]
Collect like terms
[tex]F - 1.8F =32[/tex]
[tex]-0.8F =32[/tex]
Make F the subject
[tex]F = \frac{32}{-0.8}[/tex]
[tex]F = -40[/tex]
Hence,
[tex]-40^oF[/tex] is equivalent to [tex]-40^oC[/tex]
Read more about equations at:
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HELP PLEASE
The mean gas mileage for cars driven by the students at Chillville High School is 28.0 miles per gallon, and the standard deviation is 4.0 miles per gallon. Assume that the gas mileages are normally distributed.
What percent of the cars driven by the students at Chillville have gas mileages between 24.0 and 32.0 miles per gallon?
68%
95%
32.8%
34%
Using the Empirical Rule, it is found that 68% of the cars driven by the students at Chillville have gas mileages between 24.0 and 32.0 miles per gallon.
What is the Empirical Rule?It states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.In this problem, considering the mean of 28 mpg and the standard deviation of 4 mpg, we have that 24.0 and 32.0 mpg is within 1 standard deviation of the mean, hence the percentage is of 68%.
More can be learned about the Empirical Rule at https://brainly.com/question/24537145
What is the length of EG?
Answer:
5 in
Step-by-step explanation:
Answer:
EG=5
Step-by-step explanation:
Congruent means equal to in math so since it is equal to the other triangle it must be the same in some way
and with the 90-degree angle, it shows you where it is pointing
with angle B=F
E=A
G=C
the lines connecting them are also equal
AB=EF
BC=FG
EG=AC
Since AC=5
threrfore EG also equals 5
Granola costs $3.25 per pound. Raisins cost $6.50 per pound. How many pounds of raisins can be mixed with 10 pounds of granola to make a mixture that is $4.00 per pound?
Which of the following expressions are equal to -58?
Answer:
-78-(-34)+(-14)
Step-by-step explanation:
-78+(+34)+(-14)
-78-14
-92+34
-58
And thats the answer needed there for it would be the last expression.
Suppose a firm loses $4,000 in its first month, but increases its profit by $575
each month for the first year. Find the firm's total profit or loss in the first
year.
O Loss of $10,050
O Loss of $2,250
O Profit of $2,325
O Profit of $85,950
Answer:
profit of $2325
Step-by-step explanation:
so a loss of $4000 in the first month, with profit of $575 each month. let's say a year have 12 months, first month with loss, the other 11 months with profit. so, $575 x 11 months = $6325. $6325 is the amount for 11 months with $575 profit. take $6325 and minus with $4000 and you will get $2325, which is the profit for the first year.
XYZ’s print publication charges $15 for each of the first four lines of an ad, and $9 for each additional line. Express the cost of an x-line ad, c(x), as a piecewise function.
By using the given information we can infer the domains of the function, and we will see that the piecewise function is:
c(x) = $15*x if 0 ≤ x ≤ 4
c(x) = $60 + 9*(x - 4) if x > 4.
How to get the piecewise function?
We know that the print charges $15 for each of the first four lines on an add, and $9 for each additional line.
Then we will have one piece for x between 0 and 4, and another piece for x larger than 4. The function will be:
c(x) = $15*x if 0 ≤ x ≤ 4
c(x) = $60 + 9*(x - 4) if x > 4.
Where the y-intercept on the second part is equal to the cost for the first four lines of the add.
If you want to learn more about piecewise functions, you can read:
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Let f(x)=x2−4 and g(x)=7−x. Perform the composition or operation indicated.
(fg)(8)
Answer:
[tex](f\circ g)(8)=-3[/tex]
Step-by-step explanation:
Composite Function
Given f(x) and g(x) real functions, the composite function named [tex](f\circ g)(x)[/tex] is defined as:
[tex](f\circ g)(x)=f(g(x))[/tex]
For practical purposes, it can be found by substituting g into f.
The functions are defined as follows:
[tex]f(x)=x^2-4[/tex]
[tex]g(x)=7-x[/tex]
To find [tex](f\circ g)(8)[/tex], we evaluate g in x=8 and then apply the composition formula.
[tex]g(8)=7-8=-1[/tex]
[tex](f\circ g)(8)=f(g(8))[/tex]
[tex](f\circ g)(8)=f(-1)[/tex]
[tex](f\circ g)(8)=(-1)^2-4=1-4[/tex]
[tex]\boxed{(f\circ g)(8)=-3}[/tex]
if a square piece of side 3 cm is cut from a rectangular sheet of paper 6 cm long and 4 cm wide, area of remaining sheet of paper is
Answer: 15cm squared
Step-by-step explanation:
Find the area of the rectangle:
Formula: length x width
So 6 x 4 which is 24
Then, find the square:
Formula: side x side
So 3 x 3 which is 9
Finally subtract the two areas to find the remaining sheet of paper
24 - 9 = 15
Answer:
the remaining sheet of paper is 3cm long and 1 cm wide
Step-by-step explanation:
the length of rectangular sheet is 6cm and when you cut 3 cm from it it remains 3 cm
the breadth of rectangular sheet is 4 cm and when you cut 3 cm from it 1 cm is left.
13.88 times 6 times 4
Answer:
333.12
Step-by-step explanation:
13.88x6= 83.28x4=333.12
The slope field for a differential equation is shown in the figure. Determine the general solution of this equation.
100 POINTS
slope field with positive slopes in quadrant 1 and 4, negative slopes in quadrants 2 and 3, horizontal slopes along the y axis
y=Cx2
x=Cy2
x2 – y2 = C2
x2 + y2 = C2
Answer:
[tex]y=Cx^2[/tex]
Step-by-step explanation:
Clearly, [tex]\frac{dy}{dx}[/tex] is a function of x, so we can eliminate the second option.
The slope field does not resemble a circle nor hyperbola, so we can eliminate the last two options.
This leaves us with [tex]y=Cx^2[/tex] as our general solution.
please help!
Find the length of the hypotenuse in the following figure,
Answer:
The hypotenuse of the right triangle is 20.
Step-by-step explanation:
c=[tex]\sqrt\ a^2+b^2[/tex]
[tex]\sqrt{16^2+12^2}=20[/tex]
Two containers are mathematically similar. Their volumes are 54 cm3 and 128cm3.
The height ofthe s maller containeris 4.5cm.
Calculate the height of the larger container.
Answer:
6 cm
Step-by-step explanation:
If the linear scale factor of two solids is k, then the volume scale factor is k^3.
The volume scale factor is 128/54 = 64/27 = (4/3)^3.
The linear scale factor is 4/3.
4.5 cm * 4/3 = 6 cm
Answer: The height of the larger container is 6 cm.