The boiling point of a phosphoric acid solution that is 158 degrees Celsius is 316.4 degrees Fahrenheit. This is found by using the formula F = C * 9/5 + 32.
Explanation:To convert the boiling point of a solution from degrees Celsius to Fahrenheit, we use the formula F = C * 9/5 + 32, where F represents the temperature in Fahrenheit and C represents the temperature in Celsius.
In this case, the temperature in Celsius that you want to convert is 158 degrees. So you can substitute this value in the formula as follows:
F = 158 * 9/5 + 32
When you perform the calculation, you find that the boiling point of the phosphoric acid solution is 316.4 degrees Fahrenheit.
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In addition to the trigonometric ratios, what other methods can be used to solve a right triangle? Give situations for when you might want to use them
Kyla makes a triangular school pennant. The area of the triangle is 180 square inches. The base of the pennant is z inches long. The height is 6 inches longer than twice the base length. What is the height of the pennant? Recall the formula A = 1/2bh.
A.) 12 inches
B.) 15 inches
C.) 30 inches
D.) 36 inches
A piece of rope 94.2 inches long will enclose a circular child’s wading pool. What is the diameter of the pool?
What is 10 1/2 divided 2 1/4
Interpret the average rate of change of –14/3 that you found previously. What does this mean in terms of the waterslide, from x = 0 to x = 15?
Solution: The average rate of change of [tex]\frac{-14}{3}[/tex] represents that the second variable is decrease by 14 if the first variable increase by 3. In terms of water slide the vertical height of slide is decreased at the rate of 4.66 per unit. The vertical height of the slide decrease 70 units from x = 0 to x = 15.
Explanation:
The rate of change shows the change in first variable with respect to change in second variable.
If the rate of chang is given by [tex]\frac{-14}{3}[/tex] it means second variable is decrease by 14 if the first variable increase by 3.
In the context of water slide it shows that the vertical height of slide is decreased by 14 units as we cover the distance of 3 units.
If we cover the distance from x = 0 to x = 15, it means we cover the distance of 15 units.
Let the vertical height of the slide covered from x = 0 to x =15 be y.
It means when distance increased by 15 units the height of slide decreased by y units.
So rate of change = [tex]\frac{-y}{15}[/tex].
It is given that the rate of change is [tex]\frac{-14}{3}[/tex].
Equate both equations.
[tex]\frac{-y}{15}=\frac{-14}{3}[/tex]
[tex]y=15(\frac{14}{3} )[/tex]
[tex]y=5(14)[/tex]
[tex]y=70[/tex]
Therefore, the average rate of change of [tex]\frac{-14}{3}[/tex] represents that the second variable is decrease by 14 if the first variable increase by 3. In terms of water slide the vertical height of slide is decreased at the rate of 4.66 per unit. The vertical height of the slide decrease 70 units from x = 0 to x = 15.
What this mean in terms of the waterslide, from x = 0 to x = 15 is:
The vertical height of slide is decreased at the rate of 4.66 per unit.The vertical height of the slide decreased by 70 units from x= 0 to x=15What is Rate of Change?This refers to how fast or slow a thing is required before it changes form from one form to another.
With this in mind, we can see that with the water slide, there exists the decrease of the vertical height by 14 units over a distance of 3 units.
Therefore, the rate of change is -y/15
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how many foci does the graph of a hyperbola have
Answer:
A graph of a hyperbola have 2 foci.
Step-by-step explanation:
Foci of a Hyperbola-
The foci of a hyperbola are two fixed points located inside each curve of a hyperbola.
The foci is a plural of the word focus i.e. two focus of a hyperbola are combinely called foci.
Hence, a graph of a hyperbola have 2 foci.
If we multiply every observation in a data set by 2, the mean will
Jared bought eighteen doughnuts to share with his coworkers. If each doughnut cost c cents, which expression represents his total cost?
18 + c
18 - c 1
8 ÷ c
18 c
Answer:
i think answer 1
Step-by-step explanation:
tell me i i am wrong
On her first stroke, Maria hit a golf ball 140 yards, 2 feet, 9 inch. On her second she hit it 170 yards, 1 foot, 6 inches. How far did the ball go all together
2 feet 9 inches + 1 foot 6 inches = 3 feet 15 inches
15 inches = 1 foot 3 inches
3 feet + 1 foot = 4 feet
2 ft 9 inches + 1 ft 6 inches = 4 ft 3 inches
1 yard = 3 feet
4feet 3 inches = 1 yard, 1 foot 3 inches
140+170 = 310 yards
310 + 1 = 311
so it traveled 311 yards 1 foot and 3 inches
Answer:
311 yards and 1 feet and 3 inches
Step-by-step explanation:
Find the volume of the cylinder shown. Use 3.14 for pi. Round your answer to the nearest hundredth.
Answer: Volume of cylinder is 1846.32 cubic yd.
Step-by-step explanation:
Since we have given that
Height of a cylinder = 12 yard
Radius of a cylinder = 7 yard
As we know the formula of "Volume of cylinder":
[tex]Volume=\pi r^2h\\\\Volume=3.14\times 7\times 7\times 12\\\\Volume=1846.32\ yd^3[/tex]
Hence, Volume of cylinder is 1846.32 cubic yd.
Answer:
1846.32 cubic yards
Step-by-step explanation:
the question is.......... ASAP
whats the answer to >> 3/10 + 2/11 and find the sum
Which best explains if quadrilateral WXYZ can be a parallelogram?
WXYZ can be a parallelogram with one pair of sides measuring 15 mm and the other pair measuring 9 mm.
WXYZ can be a parallelogram with one pair of sides measuring 15 mm and the other pair measuring 7 mm.
WXYZ cannot be a parallelogram because there are three different values for x when each expression is set equal to 15.
WXYZ cannot be a parallelogram because the value of x that makes one pair of sides congruent does not make the other pair of sides congruent.
If quadrilateral WXYZ is a parallelogram, the opposite sides will be equal, in length from which the value of x will satisfy the two equations.
Response:
WXYZ can be a parallelogram with one pair of sides measuring 15 mm and the other pair measuring 9 mm.How can the option that best indicates if WXYZ can be a parallelogram be obtained?Properties of a parallelogram
The length of the opposite sides of a parallelogram are equal, which gives;
2·x - 5 = x + 2
2·x - x = 2 + 5
x = 7Similarly, we have;
x + 8 = 15
x = 15 - 8 = 7
The lengths of the opposite sides are therefore;
2·x - 5 = 2 × 7 - 5 = 9 and x + 8 = 15
The option that indicates if WXYZ is a parallelogram is therefore;
WXYZ can be a parallelogram with one pair of sides measuring 15 mm and the other pair measuring 9 mm.Learn more about parallelograms here;
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Describe how to determine if two polygons have the same size and shape.
Answer:
Prove that their corresponsing sides are all congruentsStep-by-step explanation:
Remember that if two figures have corresponding angles congruent, but proportional sides, then those figures are similar.
However, if those figures have corresponding angles and sides congruent, then they are congruent.
Therefore, to determine if two polygons are congruent, that is, in size and shape, we need to prove that their corresponsing sides are all congruents, that way, we'll be able to demonstrate their absolute congruence.
for f(x)= 1/x^2-3 substitute 3 for x in the function to solve for f(3)
The value of the function f(x)= 1/x²-3 when x is 3, denoted as f(3), is -8/9.
Explanation:To solve for f(3) in the function "f(x)= 1/x²-3", you should substitute x = 3 into the function. By doing so, we have:
f(3) = 1/(3²) - 3 = 1/9 - 3 = -8/9
Therefore, f(3) for this function is -8/9.
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Given the following geometric sequence, find the common ratio. {0.1,-0.9,8.1,...}
Answer:
Common ratio, r = -9
Step-by-step explanation:
If we have geometric progression, the common ratio is the ratio of (n+1)th term and nth term.
Here geometric progression is
0.1,-0.9,8.1,.................
Common ratio
[tex]r=\frac{-0.9}{0.1}=-9\\\\r=\frac{8.1}{-0.9}=-9[/tex]
Common ratio, r = -9
Which number is irrational, an integer, and a real number?
A)there are no such numbers
B) 0
C) sq root of 4
D) -4/2
Answer:
Option A is the correct answer.
Step-by-step explanation:
An Irrational Number is a real number that cannot be written as a simple fraction. All the integers can be written as a simple fraction. So an integer is not an Irrational Number. So there is no number is irrational, an integer, and a real number.
Option A is the correct answer.
ILL GIVE BRAINLIEST !!!1 A student writes an incorrect step while checking if the sum of the measures of the two remote interior angles of triangle ABC below is equal to the measure of the exterior angle.
Step 1: m∠x + m∠y + m∠z = 180 degrees (sum of angles of a triangle)
Step 2: m∠w − m∠z = 90 degrees (corresponding angles)
Step 3: Therefore, m∠x + m∠y + m∠z = m∠w + m∠z
Step 4: So, m∠x + m∠y = m∠w
In which step did the student first make a mistake and how can it be corrected?
Step 1; it should be m∠x + m∠y + m∠z = 180 degrees (sum of corresponding angles)
Step 2; it should be m∠w + m∠z = 180 degrees (supplementary angles)
Step 1; it should be m∠x + m∠y + m∠z = 90 degrees (corresponding angles)
Step 2; it should be m∠w + m∠z = 90 degrees (alternate exterior angle)
the ratio of boys to girls are 8 to 7. if there was a total of 195 students, how many boys and girls are there?
1. What is the length of the 2nd base of a trapezoid if the length of one base is 24 and the length of the midsegment is 19? Show your work.
2. What is the sum of the measures of the exterior angles in a heptagon? Explain.
3. Find the measure of each interior angle and each exterior angles of the following regular polygons. Show your work.
a. Decagon
b. Pentagon
c. Dodecagon
d. 16-gon
e. 25-gon
Marion is observing the velocity of a cyclist at different times. After two hours, the velocity of the cyclist is 18 km/h. After four hours, the velocity of the cyclist is 4 km/h. Part A: Write an equation in two variables in the standard form that can be used to describe the velocity of the cyclist at different times. Show your work and define the variables used. (5 points) Part B: How can you graph the equations obtained in Part A for the first 8 hours? (5 points)
people who are physically active should increase the daily amount of water they drink to 2/3 ounces per pound of body weight. how much should a 245 pound football player drink per day?
A 1,470 ounces of water
B 163 ounces of water
C 163 1/3 ounces of water
D no water, football players only drink gatorade
245*2/3=
245*2 =490/3 =163.33 = 163 1/3 ounces
What is the slope of the line whose equation is 3x-5y=10?
Given the arithmetic sequence an = −1 + 7(n − 1), what is the domain for n?
All integers
All integers where n ≥ 0
All integers where n ≥ 1
All integers where n > 1
The domain for n in the arithmetic sequence is all integers where n ≥ 1.
Explanation:The domain for n in the arithmetic sequence is all integers where n ≥ 1. In this sequence, the value of n represents the position of the term in the sequence. Since the first term of the sequence is represented by n=1, n can't be less than 1 because there is no zeroth term in the sequence. Therefore, the domain for n is all integers where n ≥ 1.
Find the congruence transformation that maps ∆ABC to ∆A’B’C’. Explain your reasoning
If 9a+5b+5c=9 what is -10c-18a-10b?
A 7.5 kg block is placed on a table. If it's bottom surface area is 0.6m2, how much pressure does the block exert on the tabletop?
Final answer:
The pressure exerted by a 7.5 kg block on a tabletop is calculated as the force due to its weight divided by the surface area. This results in a pressure of 122.5 Pascals (Pa).
Explanation:
The pressure exerted by an object on a surface is calculated by dividing the force it applies, which is its weight (a result of gravity), by the area over which the force is distributed. In this case, to find the pressure exerted by a 7.5 kg block on a tabletop with a bottom surface area of 0.6m2, we use the formula for pressure (P), which is P = Force (F) / Area (A).
To calculate the force, we need to know that the weight of the block is the product of its mass (m) and the acceleration due to gravity (g), where g is approximately 9.8 m/s2. So, the weight (F) is:
F = m × g = 7.5 kg × 9.8 m/s2 = 73.5 N
To calculate pressure (P), we then divide the force by the area:
P = F / A = 73.5 N / 0.6 m2 = 122.5 Pa
Therefore, the pressure exerted by the block on the tabletop is 122.5 Pascals (Pa).
PLEASE HELP!!! 9. Solve the equation. Check for extraneous solutions. Type your answers in the blanks. Show your work.
|4x + 3| = 9 + 2x
x = _____ or _____
what is .00463 in fraction form
Please help!!! Geometry.