Use the above figure to answer the following questions. Show your work if possible
A. What is the intersection of plane P and plane R?
B. Name three points that are collinear
C. Name R in two more ways
D. Name four coplanar points
how many milligrams are in 0.5ml of a 1:1000 solution
To find the number of milligrams in 0.5 mL of a 1:1000 solution, we can set up a proportion: 1 mg / 1000 mL = x mg / 0.5 mL. Cross-multiplying, we get: x mg = (1 mg / 1000 mL) * 0.5 mL. Therefore, there are 0.0005 milligrams in 0.5 mL of a 1:1000 solution.
Explanation:To determine the number of milligrams in 0.5 mL of a 1:1000 solution, we need to understand the ratio. In a 1:1000 solution, the first number represents the amount of solute (in this case, milligrams) and the second number represents the amount of solvent (in this case, milliliters). So, in a 1:1000 solution, there is 1 milligram of solute in 1000 milliliters of solvent.
To find the number of milligrams in 0.5 mL, we can set up a proportion:
1 mg / 1000 mL = x mg / 0.5 mL
Cross-multiplying, we get:
x mg = (1 mg / 1000 mL) * 0.5 mL
x mg = 0.0005 mg
Therefore, there are 0.0005 milligrams in 0.5 mL of a 1:1000 solution.
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Is the sequence geometric? If so, identify the common ratio. 1/5, 2/15, 4/45, 8/135, 16/405
number 4 plewse asap plzzzzzzzz its due tomorrow i dont know how to do it
If a = -12/5, then 5x + 2y = 6 and 3x - ay = 4 are parallel.
Can someone pls help me with diagram 2 I'm confused about how I'm supposed to find the number for the corners like the other two diagrams.
how to do this?
[tex]{3}^{2 - x} = {5}^{x} [/tex]
the ans is
[tex] \frac{ ln(9) }{ ln(15) } [/tex]
BRAINLIEST 20 POINTS
Answer:
lol thxs for the points
Step-by-step explanation:
The graph of linear equation A passes thru the points (-7,4) and (3,-10), while the graph of linear equation B passes thru the points (-7,4) and (5,11). which of these is a solution to the system of equations consisting of linear equation A and B
a. (-7,4)
b. (3,-10)
c. (5,11)
d. (7,4)
show work and i need really bad
We want to find the solution for the system of linear equations such that we know some points of the lines. We will see that the correct option is A: (-7, 4).
Systems of linear equations.
When we have a system of equations the solutions are the points where the graphs of the equations intercept.
Here we know that we have two lines:
Line A passes through (-7, 4) and (3, - 10)Line B passes through (-7, 4) and (5, 11).So we already can see that both lines pass through the point (7, -4), meaning that the lines do intercept at that point, so the solution of the system is that point (we know that we don't have more solutions because lines intercept only once).
So the correct option is A: (-7, 4)
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what did the spanish farmer say to his chicken
What the Spanish farmer said to his chicken is: Ohlay
How to find the missing words?This is taken from the math's worksheet titled:
‘What Did the Spanish Farmer Say to His Chicken?’
This is a math worksheet activity where one must solve the given questions to find the letters that spell out the answer to what the farmer had said.
When we solve all the questions and check the letter list, then the answer will spell out oh lay. ‘Oh lay’ is Spanish for a sense of encouragement or as an approval or an hour for triumph.
Activities are given to children along with the questions to make the task of solving the mathematical equations fun while simultaneously learning about the concept. It also challenges their skills and improves them.
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Use Cramer's rule to solve 4x + 3y = 4, -3x - y = 7. Show your work.
Robert and his coworkers brought 11 work trucks to a service station for oil changes. While there they also put 6 gallons of gas into each vehicle. The cost of gas was $3.52 a gallon. The total bill was $694.32. What was the cost of an oil change for 1 truck?
Answer:
The cost of an oil change for 1 truck was $42
Step-by-step explanation:
Let
x -----> the cost of an oil change for 1 truck
y -----> the cost of gas for 1 truck
z ----> the total bill
we know that
[tex]z=11[x+y][/tex]
we have
[tex]z=\$694.32[/tex]
[tex]y=(6)(3.52)=\$21.12[/tex]
substitute and solve for x
[tex]694.32=11[x+21.12][/tex]
[tex]x=(694.32/11)-21.12[/tex]
[tex]x=\$42[/tex]
Determine the intercepts of the function f(x)=2x^2+18x+28
What is the approximate volume if this cone 9cm by 15cm
A. 1272cm3
B.2120cm3
C.4239cm3
D.6359cm3
Please Hurry!
Final answer:
The approximate volume of a cone with a radius of 9 cm and a height of 15 cm, calculated using the formula for the volume of a cone, is closest to option A, which is 1272 cm³.
Explanation:
To find the approximate volume of a cone, we use the formula V = 1/3 πr²h, where V is the volume, r is the radius of the base, and h is the height of the cone. Given that the dimensions provided are 9 cm for the radius and 15 cm for the height, the calculation is as follows:
V = 1/3 π (9 cm)² (15 cm) = 1/3 π (81 cm²) (15 cm)
Now multiply these values:
V = 1/3 π (1215 cm³) ≈ 1/3 (3817.005 cm³) ≈ 1272.335 cm³
The approximate volume of the cone is therefore closest to 1272 cm³, which makes the correct answer A. 1272cm³.
‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️Please please help quickly!
I have been waiting for over a half our and still no one has helped!!!
Please only answer if you KNOW you have the correct answer!!!
Thank you so much in advance!
What is the length of GH¯¯¯¯¯¯, to the nearest tenth of a meter? 7.3 m 13.7 m 14.1 m 19.4 m A scalene triangle G H J. The base side is J H. Side G J is labeled as 10 meters. Angle J is labeled as 45 degrees. Angle H is labeled as 31 degrees.
Answer:
13.7 m
Proof in Pic:
maddy was one of the riders in the competition. If one judge awarded maddy a score of 87 and maddy's final score was 84.5 what score did the other judge award maddy answer
Let [tex] x [/tex] be the score awarded by the other judge.
Maddy's final score is the average of the scores awarded by the 2 judges.
So,
[tex] \frac{87+x}{2} =84.5\\
87+x=169\\
x=82 [/tex]
The score awarded by the second judge is [tex] 82\;points [/tex].
a class had 2 3/4 yards of twine. Five students each used 1/8 of a yard.
Estimate the total yarn left.
a car model comes with the following choices: 9 colors,with or without air conditioning,with or without sunroof ,with or without automatic transmission ,with or without a spoiler,and with or without anti lock brakes. in how many ways can it be ordered
There 288 ways the car can be ordered.
What is Combination?Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant.
Given:
There are five Categories as
with or without air conditioning,with or without sunroof ,with or without automatic transmission ,with or without a spoiler,and with or without anti lock brakes.Total colors for car= 9
Now, the possible number of ways can it be ordered
= 9 x 2 x 2 x 2 x 2 x 2
= 9 x 32
= 288 ways
Hence, there 288 ways the car can be ordered.
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Final answer:
To determine the number of ways a car model can be ordered based on given feature choices, multiply the number of options for each feature. In this case, it's 9 colors multiplied by 2 options for each of the 5 binary features (with or without), leading to a total of 288 different combinations.
Explanation:
To determine the number of different ways a car can be ordered based on the given options, we simply need to multiply the number of choices available for each feature.
First, there are 9 colors. Then for each feature such as air conditioning, sunroof, automatic transmission, spoiler, and anti-lock brakes, there are two options available: with or without.
So, for each of these five binary options (yes or no), we multiply the number of choices by 2 (with or without).
Colors: 9 choices
Air conditioning: 2 choices
Sunroof: 2 choices
Automatic transmission: 2 choices
Spoiler: 2 choices
Anti-lock brakes: 2 choices
Now, we can calculate the total number of ways the car can be ordered:
Total ways = 9 (colors) * 2 (air conditioning) * 2 (sunroof) * 2 (automatic transmission) * 2 (spoiler) * 2 (anti-lock brakes)
Total ways = 9 * 25 = 9 * 32 = 288.
Therefore, there are 288 different combinations in which the car can be ordered.
What is a factor of 13
Answer:
1 and 13
Step-by-step explanation:
13 is a prime no. so it doesnt have more factors just it can be divided by 1 and itself 13
What is the domain of the function y=3\sqrt(6x+42)
Joy started with 2.75 gallons of milk. She used 1.5 pints to make mashed potatoes and another cup to make cookies. How much milk does Joy have left? Give your answers in three different way (using cups, pints, and gallons). SHOW WORK.
The baseball team has a double-header on Saturday. The probability that they will win both games is 18%. The probability that they will win just the first game is 60%, What is the probability that the team will win the 2nd game given that they have already won the first game?
Let the event to win the first game is F and to win the second game is S.
This question is from conditional probability and hence we use the below formula.
[tex]P(S/F)=\frac{P(F and S) }{P(F)}[/tex]
Now, we have been given that
[tex]P(F and S)=0.18\\ P(F)=0.60[/tex]
On substituting these given values in the formula, we get
[tex]P(S/F)=\frac{0.18}{0.60} \\ \\ P(S/F)=0.3=30\%[/tex]
Therefore, the probability for winning the second game is 30%
Which is the equation in slope-intercept form for the line that passes through (3,3) and is parallel to x + 3y = 4?
Solving inequalities by Multiplying or Dividing.
Solve each inequality and check your solution. Then graph the solution on a number line. ~Thank you ;)
To solve inequalities by multiplying or dividing, apply the operation to both sides and remember to reverse the inequality when multiplying or dividing by a negative number. Graph the solution on a number line and check it. Graphical representations also help in visualizing economic data.
Explanation:When solving inequalities by multiplying or dividing, it is important to remember that applying the same operation to both sides of the inequality does not change the sense of the inequality unless we multiply or divide by a negative number, which reverses the inequality. The procedure involves isolating the unknown on one side by using multiplication or division. It is key to multiply or divide every term on either side of the inequality whenever it involves more than one term. This is done by enclosing the side with more than one term in small brackets before performing the operation.
To graph the solution on a number line, identify the range of values that make the inequality true. For instance, in an inequality such as x > 5, you would draw an open circle at 5 and shade the line to the right to indicate all the values greater than 5. Remember to check your solution by substituting a number from the solution set back into the original inequality.
Moreover, if you encounter a graphing task related to economic models, it is helpful to represent the data visually using various graphs such as line graphs, pie charts, or bar graphs. These graphical representations illustrate patterns, comparisons, trends, and relationships in data effectively, providing an intuitive understanding of complex information.
when factored completely,x³-13x²-30x is
Answer:
[tex]x(x+2)(x-15)[/tex]
Step-by-step explanation:
we have
[tex]x^{3}-13x^{2}-30x[/tex]
step 1
Factor x
[tex]x^{3}-13x^{2}-30x=x(x^{2}-13x-30)[/tex]
step 2
Find the solutions of [tex](x^{2}-13x-30)[/tex]
Complete the square
[tex](x^{2}-13x)=30[/tex]
[tex](x^{2}-13x+6.5^{2})=30+6.5^{2}[/tex]
[tex](x^{2}-13x+42.25)=72.25[/tex]
[tex](x-6.5)^{2}=72.25[/tex]
square root both sides
[tex](x-6.5)=(+/-)8.5[/tex]
[tex]x=6.5(+/-)8.5[/tex]
[tex]x1=6.5(+)8.5=15[/tex]
[tex]x2=6.5(-)8.5=-2[/tex]
so
[tex](x^{2}-13x-30)=(x+2)(x-15)[/tex]
substitute
[tex]x^{3}-13x^{2}-30x=x(x+2)(x-15)[/tex]
Determine which of the following expressions requires combining like terms before it is considered to be in its simplest form. Select all situations that apply. 4x + 3y - 7x a2 + a2 - b 5y - x a2 + a2b -5w2 + y - 4w2 - 8y (8pq)
Answer:
4x + 3y - 7x
a2 + a2 - b
Step-by-step explanation:
What is 3 to the power of 2 over 3 equal to?
cube root of 9
square root of 9
cube root of 27
square root of 27
Please help thank you.
Lacey's mom makes her a birthday cake in the shape of an "L" . Lacey loves frosting, so her mom covers the entire outside of the cake in frosting, even the bottom of the cake.
How much space does Lacey's mom cover in frosting?
And PLEASE explain.
Answer:
220
Step-by-step explanation:
Lacey's mom makes her a birthday cake in the shape of an "L" . Lacey loves frosting, so her mom covers the entire outside of the cake in frosting, even the bottom of the cake.
How much space does Lacey's mom cover in frosting?
The surface area of the the cake is made up of rectangles. The formula for find the area of a rectangle is A = lw
We can divide the top of the cake into 2 rectangles.
The rectangle on the left is 12 inches by 4 inches.
A=lw
A=12*4
A=48
There is a rectangle this size on the top and bottom of the cake, so we can multiply to find the area of both. 20*2=40
The rectangle on the right is 5 inches by 4 inches. We can use the formula A = lw to find the area.
A=lw
A=5*4
A=20
There is a rectangle this size on the top and bottom of the cake, so we can multiply to find the area of both.
48*2=96
Now we need to add in the area of the rectangles that make the sides of the cake. Let's look at the sides of the large rectangle first.
The total for these 3 surfaces is 48 .
Now let's look at the 3 remaining rectangles.
The total for these 3 surfaces is 36.
Now let's add all the surfaces together.
96+40+48+36=220
The surface area of Lacey's cake is 220 inches
What type of association would you expect to see between the amount of fog in the sky and the distance that a pilot can see? A) Positive association B) Negative association C) No association D) There is not enough information to tell
There is a negative association between the amount of fog in the sky and the distance a pilot can see; i.e. the higher the amount of fog, the lower the visibility distance.
Explanation:The question primarily asks about the association between the amount of fog in the sky and the distance a pilot can see. In general, the greater the fog, the lower the visibility distance for a pilot. Hence, there is a negative association between these two variables. When one variable (amount of fog) increases, the other variable (pilot's visibility distance) decreases.
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