Answer:
D
Step-by-step explanation:
The range is subtracting the largest number and the smallest number.
largest number: 25
smallest number: 6
Range: 25 - 6 = 19
In ΔRST, r = 3.9 inches, s = 5.6 inches and t=6.1 inches. Find the measure of ∠S to the nearest 10th of a degree.
Answer:
63.7
Step-by-step explanation:
i just know
Answer:
27.1
Step-by-step explanation:
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:
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.
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:
brainly.com/question/16911650
wider after the boat passes. The wake is the same width as the boat
when it first forms, and then it gets wider in proportion to the square root of the distance from the boat. If a 2-meter wide boat passes your
position at 5 m/sec, which domain is appropriate for a function that
models the width of the wake, f(x), and the distance from the boat, x?
a) all numbers greater than 2
b) all rational numbers
c) all positive numbers
d) all numbers greater than 5
explain why cant a cross section be a sphere
18) The school that John goes to is selling tickets to the annual talent show. On the first day of ticket
sales the school sold 3 senior citizen tickets and 5 student tickets for a total of $71. The school
took in $190 on the second day by selling 10 senior citizen tickets and 12 student tickets. Find
the price of a senior citizen ticket and the price of a student ticket.
Answer:
Student ticket=$10. Senior ticket=$7
Step-by-step explanation:
If we say Student ticket price = Y. and senior ticket price = X. Then we can say:
[tex]3x+5y=71\\10x+12y=190[/tex]
We can rewrite one of the equations as y equals:
[tex]10x=190-12y[/tex]
Then, we simply solve for x.
[tex]\frac{10x=190-12y}{10}=x=19-1.2y[/tex]
Then, we use the other equation and replace x with the equation we just solved
[tex]3(19-1.2y)+5y=71\\[/tex]
We simplify and it becomes:
[tex]57-3.6y+5y=71[/tex]
Then we subtract 57 from each side and get:
[tex]-3.6y+5y=-14[/tex]
Next, we combine the y and get:
[tex]1.4y=14[/tex]
Then we divide by 1.4 and get:
[tex]\frac{1.4y=14}{1.4} =y=10[/tex]
This means that the cost per student ticket is $10
Next we replace the y value in an equation with 10 and solve:
[tex]3x+5y=71\\3x+5(10)=71\\3x+50=71\\[/tex]
Then we subtract 50 from each side:
[tex]3x+50=71\\-50\\3x=21[/tex]
Finally, we divide each side by 3:
[tex]\frac{3x=21}{3} =x=7[/tex]
This means that each senior ticket costs $7
Identify the slope in the
following table of values.
Answer:
X =0
Y=0
..........Am i right
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:
https://brainly.com/question/3628123
suppose y varies directly with x, and y=24 when x= 8. What is the value of y ehen x= 10
Answer: 30 = y
Step-by-step explanation: When we have two sets of directly related coordinates, x₁ and y₁, and x₂ an y₂, we can use the ratio below to find the missing value.
y₁ / x₁ = y₂ / x₂
We know that y = 24 when x = 8.
So one set of coordinates will be 24 and 8.
We want to know the value of y when x = 10.
So the other coordinates will be y and 10.
So we have 24/8 = y/10.
Now, we can solve for y using cross products.
So we have (24)(10) which is 240 and (8)(y) is 8y.
So we have 240 = 8y.
Now dividing both sides by 8, we have 30 = y.
So 30 is equal to y.
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
Given z=-4-6i
Write down the conjugate of z
Answer:
z = -4 + 6i
Step-by-step explanation:
A math conjugate is formed by changing the sign between two terms in a binomial. For instance, the conjugate of x+y is x−y . We can also say that x+y is a conjugate of x−y . In other words, the two binomials are conjugates of each other.
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°
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:
An engine is operating at 25% of its full power. Which number line shows a point that
represents 25%?
where's the number line?
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?
if I have a recipe for 5 cups of chicken broth how much broth would I use
Answer: you would use 5 cups
Step-by-step explanation:
if the recipe calls for 5 cups of chicken both you would use the 5 cups as it tells you
A social security number contains nine digits such as 000000000 How many different social security numbers can be formed using any numerals from 0 to 9?
Answer:
1 billion social security numbers
Step-by-step explanation:
4c=3 solve for c please
Step-by-step explanation:
Given equation is:-
4c=3Dividing both sides by 4, we get
4c/4=3/4By doing simply, we get
c=¾Hence, the value of c will be ¾.
i have the question in the picture below but I have to put more words so here ya go
Answer:
I think the answer is either B or D
Step-by-step explanation:
Let's see
<ADT and <TDSBoth lies on a line .They makes a complete lineSo they are Linear pairs
Option B
Write 23.4571 correct to
4 significant figures
Answer:
Your answer would be 23.46
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]
a pair of socks cost $18.50 the markup is 5% the taxes
Answer:
$19.43
Step-by-step explanation:
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.
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:
PLEASE HELP ASAP!!! WILL GIVE BRALIEST!!
Answer:
Bree hikes for 4 kilometers per hour
Answer:
D
Step-by-step explanation:
x represents time and y represents disrtance in relation to time.
(when you look at 1 sec you can tell that the y value is 4 meaning that the realtion is y=4x)
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
Theo budgets 154 for karate classes he buys a karate uniform called a dogi for 12 if it cost 8 to attend each karate class which inequality below represents the number of classes c can Theo can take
Answer:
154 divide by 12 when you get your answer multiply it by 8
Write the number 689,000,000,000,000 in scientific
notation.
Answer:
6.89 x 10^14
Step-by-step explanation:
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.