Answer:
The coordinates of the midpoints are (3/2, 1/2)
Step-by-step explanation:
To find the midpoint you must se the midpoint formula. Using this formula, when you plug in the points given and you simplify, you find out the midpoint is the coordinates (3/2, 1/2). I hope this helps!
what's is the value of x?
Answer:
40°
Step-by-step explanation:
The measure of the right angle is 90°.
The measures of the angles 10° and 2x add up to the measure of the right angle.
2x + 10° = 90°
2x = 80°
x = 40°
the table below shows the heights of several books. Jean stacks a dictionary on top of her novel. how high is the stack of the two books.tablenovel: 3/4dictionary:4 1/2A. between 4 1/2 and 5 inchesB between 5 1/2 and 6 inchesC. between 5 and 5 1/2 inchesFIRST TO ANSWER wILL BE MARKED BRAINLEST AND WILL GET 5 STARS
Given:
novel: 3/4
dictionary: 4 1/2
Let's first convert the two given height into similar fractions (with the sa
The antlantic ocean region contains approximately 2 times 10^16 gallons of water. Lake Ontario has approximately 8,000,000,000,000 gallons of water. How many Lake Ontarios would it take to fill the Atlantic Ocean region in terms of gallons of water?
Answer: what school u be going to cause thats more numbers then a yard
Step-by-step explanation:
State two non examples of integers.
Answer:
Examples of non-integers include decimals, fractions and imaginary numbers. For example, the number 3.14, which is the value for pi, is a non-integer. Another non-integer is the mathematical constant e, known as Euler's constant, which is equal to about 2.71.
Step-by-step explanation:
27
Which values are solutions to th
compound inequality below? Select all the
correct answers.
-1 ≤3-x < 4
A. -2
B. -1
C. 0
D. 1
E. 2
F. 3
G. 4
H. 5
Answer:
C) 0, D) 1, E) 2, F) 3, G) 4-----------------------------------
Given inequality:
- 1 ≤ 3 - x < 4Simplify it as below.
Add -3 to all sides:
- 1 - 3 ≤ - x < 4 - 3-4 ≤ - x < 1Multiply all sides by - 1, it flips the inequality signs:
4 ≥ x > - 1Show in reverse order:
- 1 < x ≤ 4 orx ∈ (- 1, 4]Now verify the options.
Correct choices are C, D, E, F, G.
Answer:
\(-1 < x \leq 4\)
C, D, E, F, G
Step-by-step explanation:
Given compound inequality:
\(-1 \leq 3-x < 4\)
If a ≤ u < b then a ≤ u and u < b:
\(\implies -1 \leq 3-x \;\; \textsf{and} \;\; 3-x < 4\)
Solve each inequality:
\(\begin{aligned}\underline{\sf Case \; 1}\\-1& \leq 3-x\\x-1 & \leq 3\\x&\leq 4\end{aligned}\) \(\begin{aligned}\underline{\sf Case \; 2}\\3-x& < 4\\-x & < 1\\x& > -1\end{aligned}\)
Combine the intervals:
\(-1 < x \leq 4\)
Therefore, the values that are solutions to the compound inequality from the given answer options are:
C. x = 0D. x = 1E. x = 2F. x = 3G. x = 4s + –177 = –423 solve for s
Write an expression that is equal to 11 to the power of3
The Browns installed 96 feet of fencing around a rectangular play yard. If the yard covers 540 square feet, what are its dimensions
The dimensions of the rectangular play yard are 30 feet by 18 feet.
Let's assume that the length of the rectangular play yard is L and the width is W.
The perimeter of a rectangle is given by the formula: P = 2L + 2W.
According to the problem, the Browns installed 96 feet of fencing, so we have:
2L + 2W = 96 (Equation 1)
The area of a rectangle is given by the formula: A = L * W.
According to the problem, the area of the play yard is 540 square feet, so we have:
L * W = 540 (Equation 2)
To solve this system of equations, we can use substitution or elimination. Let's use substitution:
From Equation 2, we can isolate L:
L = 540 / W
Now substitute this expression for L in Equation 1:
2(540 / W) + 2W = 96
Multiply through by W to eliminate the fraction:
\(2(540) + 2W^2 = 96W\\1080 + 2W^2 = 96W\)
Rearrange the equation:
\(2W^2 - 96W + 1080 = 0\)
Divide through by 2 to simplify:
\(W^2 - 48W + 540 = 0\)
Now we can solve this quadratic equation to find the values of W, which represents the width of the play yard. Once we have the value of W, we can substitute it back into Equation 2 to find the corresponding length, L.
Using the quadratic formula:
W = (-b ± \(\sqrt{(b^2 - 4ac)}\)) / (2a)
For the equation \(W^2 - 48W + 540 = 0,\) we have a = 1, b = -48, and c = 540.
Plugging these values into the quadratic formula, we get:
W = (-(-48) ± √\(\sqrt{((-48)^2 - 4(1)(540))}\)) / (2(1))
= (48 ± \(\sqrt{(2304 - 2160)}\)) / 2
= (48 ± \(\sqrt{144}\)) / 2
= (48 ± 12) / 2
So, we have two possible values for W:
W1 = (48 + 12) / 2 = 60 / 2 = 30
W2 = (48 - 12) / 2 = 36 / 2 = 18
Now substitute these values of W back into Equation 2 to find the corresponding lengths:
For W = 30:
L = 540 / 30 = 18
For W = 18:
L = 540 / 18 = 30
Therefore, the dimensions of the rectangular play yard are 30 feet by 18 feet.
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8a + 3b = 5a + 7b
Find the ratio a:b
The ratio of a:b in 8a + 3b = 5a + 7b is 4:3.
What is Ratio?A ratio is an ordered pair of numbers a and b, written as a/b where b does not equal 0. A proportion is an equation in which two ratios are equal to each other. For example, if there are 2 boys and 6 girls, you can write the ratio as: 1 : 3 (for every boy there are 3 girls).
Ratios compare two numbers obtained by dividing. If one data point (A) is compared to another data point (B), it is expressed as A/B. It means that we are partitioning information A from information B. For example, if A is five and B is 10, your ratio would be 5/10, or 1/2.
For above information,
8a + 3b = 5a + 7b
8a-5a = 7b- 3b
3a= 4b
So, a/b= 4/3
a:b is 4:3
Thus, the ratio of a:b in 8a + 3b = 5a + 7b is 4:3.
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A cost that changes in total as output changes is a variable cost. a. True b. False
Answer:
a. True
Step-by-step explanation:
a. True
A cost that changes in total as output changes is indeed a variable cost. Variable costs are expenses that vary in direct proportion to the level of production or business activity. As output increases, variable costs increase, and as output decreases, variable costs decrease. Examples of variable costs include direct labor, raw materials, and sales commissions.
I need help please!!!!!!!
Answer:
75°
Step-by-step explanation:
We can assume that the angle shown and an angle that measures 15° makes a complementary angle. A complementary angles is when two angles add up to be 90°. We can create an equation and simplify:
15 + x = 90
x = 75
Best of Luck!
WILL GIVE BRAINLIEST IMMEDIATELY!!! INSTANT BRAINLIEST!!!!!!!1
I ONLY NEED STATEMENT 7's REASON!!! SEE PHOTO
PUT ANSWER TO STATEMENT 7:
it is either SSS, SAS, ASA, or AAS
5. Consider the figure below.
Given: Parallelogram SUPN, SR ⊥ UN and MP ⊥ UN
Prove: ΔPMU ≅ ΔSRN
Answer: Lol, do your homework.
Answer:
SAS
Well I took geometry last year so I don't know how to explain it well but when you move from each Angle/Point it wouldn't make sense for it to be SSS, or AAS, or any other one since there is only one given angle which is 90 degrees and its in between the sides.
helpppppp meeeee pleaseeeeeeeee thanksssssss :)))))))
Answer:
815.76 is your answer
Step-by-step explanation:
Which expression is equivalent to -8.2-5?
A. −8.2+(−5)
B. 8.2 - 58.2−5
C. 5−(−8.2)
D. −8.2+5
Answer:
-8.2 + (-5)
Step-by-step explanation:
I got you queen
Six farmers each have 6 barrels. In
each barrel are 6 cats who each have 6
kittens. How many legs are there? (Don't
forget the farmers' legs.)
Answer:
There would be 876 legs.
Step-by-step explanation:
To do it you could first find how many legs there are on one farm. SO you would take the 6 cats in one barrel. Then times it by the 6 kittens each of them have. That's the number of cats. Then times than number by 4 to get the total number of legs in one barrel. Then you add in the two legs of the farmer. Then times that total number by 6 to get all the legs on all six farms.
i need help by 5 divided by 7/10
Hope this helps!
Also can I please have Brainliest?
Only if I'm right of course...
Write a system of equations or inequalities to represent each
situation. Write the systems in standard form and line up
the variables.
1. The middle school has a total of 456 students. There are 54 more
seventh graders than eighth graders.
Answer:
201 eighth graders and 201 + 54 = 255 seventh graders at the middle school.
Step-by-step explanation:
The system of equations representing the situation is:
x + 54 = 456 - x
2x + 54 = 456
2x = 402
x = 201
where x represents the number of eighth graders. So, there are 201 eighth graders and 201 + 54 = 255 seventh graders at the middle school.
Assume that 70% of the cars on a particular freeway are traveling faster than 70 miles per hour. A random sample of 8 cars was observed under normal driving conditions with no police car in sight. What is the probability that 7 or more of them were going faster than 70 miles per hour? A. 0.55 B. 0.30 C. 0.20 D. 0.26 E. 0.49
E. 0.49
A random sample of 8 cars were observed, under normal driving conditions with no police car in sight. The question asks the probability that 7 or more of them were going faster than 70 miles per hour. Let's try to solve this problem step-by-step.Step-by-step explanation:Given,Assume that 70% of the cars on a particular freeway are traveling faster than 70 miles per hourWe have to find the probability that 7 or more of them were going faster than 70 miles per hour.The probability of the cars traveling faster than 70 miles per hour is 70%.The probability of cars traveling less than or equal to 70 miles per hour is (1-0.7) = 0.3 (from the complement rule of probability).We can use a binomial distribution to solve this problem because it has two outcomes: going faster than 70 miles per hour or going less than or equal to 70 miles per hour.P(X = 7) + P(X = 8) = (8C7)(0.7)^7(0.3)^1 + (8C8)(0.7)^8(0.3)^0= 0.4907 ≈ 0.49Therefore, the probability that 7 or more cars were traveling faster than 70 miles per hour is 0.49. Therefore, the answer is E. 0.49.
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Find the equation of the line.
The line passes through the points (2, 3) and (−3, −2).
PLEASE HELP!!!! WILL GIVE BRAINLIEST!
Answer:
y = x + 1
Step-by-step explanation:
m = (y2-y1)/(x2-x1)
m = (-2 - 3)/(-3 - 2) = -5/-5 = 1
given m = 1, x = 2, y = 3
y = mx + b
3 = 1(2) + b
3 = 2 + b
b = 1
then
y = x + 1
What are the coordinates of the point that 1/6 of the way from A to B
Answer:
D
Step-by-step explanation:
The distance from - 2 to 10 is 12. 12/6 is 2, so 2 spaces across
2) At age 22, Joseph places $4,500 in a retirement account with a fixed annual interest rate 7%,compounded continuously. He never places any additional money in the account. What will hisbalance be at age 55 ?
lets remember what it means compound continuously,
the interest never stopped, the balance is earning interest at all time
Joseph is 22 and he wants to know how much money he will have at 55
55-22=33
his balance will gain interest for 33 years, this is our time
there is a 7% rate
the formula is
P(t)= P(0) e ^rt
our t is 33
rate=7%
Joseph will have a balance at age 55, 45,334.99 dollars
If the ratio of the rectangular prisms' volumes is 1:8, what is j?
PLEASE HELP WILL MARK BRAINLIST
J is equal to 24 ____________________________
Can y'all please help me with this !!!/!/!???......itz all in the pic
Complete all to get brainliest
~thanks~✌
Why
is the use and interpretation of an R or s chart so critical when
examining an X-bar chart?
The use and interpretation of an R or s chart are critical when examining an X-bar chart because they provide additional information about the variation within the subgroups. This allows for a more comprehensive analysis of the process and helps identify any issues or sources of variability.
When using an X-bar chart, the focus is on monitoring the process mean or average. However, the X-bar chart alone does not provide information about the variation within the subgroups. This is where the R or s chart comes into play. The R chart measures the range of values within each subgroup, while the s chart measures the standard deviation.
By using an R or s chart alongside the X-bar chart, we can assess the variability within the subgroups and determine if it is stable over time. If the variation within the subgroups is high and unpredictable, it may indicate that the process is out of control or that there are sources of variation that need to be addressed. The R or s chart provides additional insights into the process performance and helps in identifying the presence of special causes of variation.
In summary, the use and interpretation of an R or s chart in conjunction with an X-bar chart allow for a more comprehensive analysis of process variation. This helps in understanding the stability and capability of the process and enables appropriate actions to be taken to improve quality and performance.
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Folosind notatiile (a,b) pentru cel mai mare divizor comun si [a,b] pentru cel mai mic multiplu comun al numerelor a si b, probati re;atoa a*b = (a,b)*[a,b], penru fiecare dintre perechile de numere naturale, urmatoare: a) 15 si 20; b) 27 si 36; c)54 si 72
The equation a * b = (a, b) * [a, b] is proven to be true for all the given pairs of natural numbers (15, 20), (27, 36), and (54, 72).
a) For the pair (15, 20):
- The greatest common divisor (15, 20) = 5, as 5 is the largest number that divides both 15 and 20.
- The least common multiple [15, 20] = 60, as 60 is the smallest number that is divisible by both 15 and 20.
Now, let's check if the equation holds true:
15 * 20 = 300
(15, 20) * [15, 20] = 5 * 60 = 300
Since the values on both sides of the equation are equal (300), the equation holds true for the pair (15, 20).
b) For the pair (27, 36):
- The greatest common divisor (27, 36) = 9, as 9 is the largest number that divides both 27 and 36.
- The least common multiple [27, 36] = 108, as 108 is the smallest number that is divisible by both 27 and 36.
Let's check the equation:
27 * 36 = 972
(27, 36) * [27, 36] = 9 * 108 = 972
The equation holds true for the pair (27, 36).
c) For the pair (54, 72):
- The greatest common divisor (54, 72) = 18, as 18 is the largest number that divides both 54 and 72.
- The least common multiple [54, 72] = 216, as 216 is the smallest number that is divisible by both 54 and 72.
Checking the equation:
54 * 72 = 3888
(54, 72) * [54, 72] = 18 * 216 = 3888
The equation holds true for the pair (54, 72).
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if one face of a cube has an area of 6in²,what is the total surface area of the cube
The face of a cube is in the shape of square :
The area of one face of cube is 6 in²
i.e. Area of square = 6 in²
Since the general expression for the area of square is Side x Side
\(\begin{gathered} \text{ Area of side face =6} \\ \text{side}\times side=6 \\ \text{side}^{2}=6 \\ \text{side}=\sqrt[]{6} \end{gathered}\)
The general expression for the total surface area of cube is : 6 side²
Substitute the value of side :
\(\begin{gathered} \text{ Total surface of area = 6 a}^{2} \\ \text{Total surface of area =6}\times(\sqrt[]{6})^2 \\ \text{Total surface of area =6}\times6 \\ \text{Total surface of area =}36in^2 \end{gathered}\)Total surface area of cube is 36 in²
State the oxidation state of the central metal cation, coordination number and the geometry of the following complexes. (i) Na[Au(CN)_2]
the oxidation state of the central metal cation (Au) is +3, the coordination number is 2, and the geometry is linear for the complex Na[Au(CN)2].
In the complex Na[Au(CN)2]:
- The oxidation state of the central metal cation, Au, can be determined by considering the charges of the ligands and the overall charge of the complex. Here, the ligands are (CN)2, and each CN ligand has a charge of -1. Since there are two CN ligands, their total charge is -2. The overall charge of the complex, Na[Au(CN)2], is +1 (due to the Na+ cation). Therefore, we can calculate the oxidation state of Au as follows:
Au + (-2) = +1
Au = +3
So, the oxidation state of the central metal cation, Au, is +3.
- The coordination number refers to the number of ligands attached to the central metal cation. In this complex, there are two cyanide ligands (CN)2 bonded to the central gold cation (Au), so the coordination number is 2.
- The geometry of the complex can be determined based on the coordination number and the nature of the ligands. In this case, with a coordination number of 2, the geometry is linear.
Therefore, the oxidation state of the central metal cation (Au) is +3, the coordination number is 2, and the geometry is linear for the complex Na[Au(CN)2].
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Please help me!!
There were 36 campers at Yosemite Creek. They
had 10 large pepperoni pizzas to share equally.
How much pizza can each camper have?
In triangle abc the measure of angle a is 35 and the measure of angle b is 20. in triangle def, the measure of angle d is 35 and the measure of angle f is 125 are triangle abc and def similar explain or show reasoning
Answer:
No, they are not similar.
Step-by-step explanation:
Two triangles are similar if their corresponding angles are congruent, and their corresponding sides are proportional. While angle a in triangle abc is congruent to angle d in triangle def, angle b in triangle abc does not have a corresponding congruent angle in triangle def. Therefore, the corresponding angles are not congruent, and the triangles cannot be similar.
If the pattern below follows the rule "starting with nine, every consecutive line has a number one less than the previous line".
Answer:
9,8,7,6,5,4,3,2,1
Step-by-step explanation:
you subtract 1 every time you go down the line and you can keep going to negatives if you need to. hope that helps!