Answer: Without seeing the actual scatter plot, it is difficult to make a definitive conclusion about the relationship between the number of swings and the number of hits. However, there are a few things that the coach can look for in the scatter plot to gain some insights:
Positive correlation: If the scatter plot shows a generally upward trend, with more hits occurring as the number of swings increases, this suggests a positive correlation between the two variables. In other words, players who take more swings tend to have more hits during the tournament.
Negative correlation: On the other hand, if the scatter plot shows a generally downward trend, with fewer hits occurring as the number of swings increases, this suggests a negative correlation between the two variables. In this case, players who take fewer swings tend to have more hits during the tournament.
No correlation: If the scatter plot shows no clear trend or pattern, with hits occurring randomly across different numbers of swings, this suggests no correlation between the two variables. In this case, there is no apparent relationship between the number of swings taken and the number of hits during the tournament.
Overall, the coach can use the scatter plot to gain some insights into the relationship between the number of swings and the number of hits, but more advanced statistical analysis may be necessary to make definitive conclusions.
Step-by-step explanation:
The value of the 9 in 964,352 is how many times the value of the 9 in 290,481?
A. 10
B. 100
C. 10,000
D. 1,000
Answer:
A. 10
Step-by-step explanation:
The 9 in 290,481 is in the ten thousands place (10⁴)
The 9 in 964,352 is in the hundred thousands place (10⁵)
10⁵/10⁴ = 10
Answer:
A. 10
The value of 9 in 964,352 is 10,000 times greater than the value of 9 in 290,481, because it is positioned in the hundreds of thousands place versus the tens place.
Explanation:The value of a digit in a number is determined by its position or place value. In the number 964,352, the value of the 9 is 900,000, because it is in the hundreds of thousands of places. In the number 290,481, the value of the 9 is 90, because it is in the tens place. To find out how many times greater the value of the 9 in 964,352 is than the value of the 9 in 290,481, we divide 900,000 by 90, which gives us 10,000. Therefore, the answer is C. 10,000.
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What is the solution to the system of equations: 2x + 2y = 14 and 4x – 2y = 10?
On solving the given system of equations, we found the values of the variables x and y as 4 and 3 respectively.
What is meant by the system of equations?
A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system. A group of equations comprising one or more variables is known as a system of equations. The variable mappings that satisfy each component equation, or the points where all of these equations cross, are the solutions of systems of equations. A group of equations that are all satisfied by the same set of variables are referred to as a system of linear equations.
The given system of equations is:
2x + 2y = 14
4x - 2y = 10
To solve this, we have to first get rid of one variable.
Here the coefficient of variable y is the same.
So adding the equations, we get
6x = 24
x = 4
Now substituting this value of x in any one of the equations we get y.
2*4 + 2y = 14
8 + 2y = 14
2y= 6
y = 3
Therefore on solving the given system of equations, we found the values of the variables x and y as 4 and 3 respectively.
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PLSS ANSWER QUICKLY ASAP
Answer:
the answer is A
hope it helps u
mark brainlist
Answer: D
As x Values-Decrease, the function increases toward positive infinity.
As the x values decreases, the function decreases towards y=-2
Step-by-step explanation:
It's a basic function that follows within the 2^x format. Where x-> infinity would mean that y-> infinity as well. However, since there was a translation within the y unit (hence the -2) the asymptote decreased by two.
So as the x unit increases, so does the y.
However, as the x unit decreases, the y decreases to -2.
A lab technician draws a sample of blood. A cubic millimeter of the blood contains 22^5 red blood cells and 22^3 white blood cells. How many times more red blood cells are there than white blood cells?
There are 484 times more red blood cells than white blood cells in a cubic millimeter of blood.
What is proportionality?the property of having suitable proportions in terms of size, number, degree, harshness, etc.: If a defensive action against an unfair attack results in the destruction that contravenes the proportionality criterion, it may even go far beyond a justifiable defense.
Given, A lab technician draws a sample of blood.
A cubic millimeter of blood contains 22⁵ red blood cells and 22³ white blood cells.
The number of red blood cells in a cubic millimeter of blood is 22⁵,
and the number of white blood cells in the same volume is 22³.
To find out how many times more red blood cells there are than white blood cells, we need to divide the number of red blood cells by the number of white blood cells:
22⁵ / 22³ = 22⁵⁻³ = 22² = 484
Therefore, there are 484 times more red blood cells than white blood cells in a cubic millimeter of blood.
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Consider parallelogram ABCD below.
Use the information given in the figure to find x, m
Answer:
x = 3 ; ∠m B = 85° ; ∠m BAC = 34°
Step-by-step explanation:
Opposite sides of a parallelogram are equal. If 2x = 6, then x must be equal to 3. The same idea goes for angles. Since angle D measures 85°, angle B must as well. Using the formula 180°(n-2), where n = number of sides, it is seen that there are 180°(2) = 360° in a four sided shape. Knowing two of them, we can subtract 85*2 from 360 to find the rest of the degrees. 360° - 170° = 190°. Since the other two angles are equal as well, 190°/2 = 95°. Since ∠m DAC = 61°, ∠m BAC must equal 95°-61°, which is equal to 34°
what is the diameter of a circle with a circumference of 132ft ? Use 22/7 for pie
Answer:
Step-by-step explanation:
The formula for the circumference of a circle is C = πd, where C is the circumference and d is the diameter.
Given that the circumference is 132ft and π is 22/7, we can write:
132 = (22/7)d
To solve for d, we can multiply both sides by 7/22:
132 × 7/22 = d
Simplifying the left side:
42 = d
Therefore, the diameter of the circle is 42 feet.
Answer:
D = 42
Step-by-step explanation:
Formula to find Diameter = [tex]\frac{C}{\pi }[/tex]
D = 132 ÷ [tex]\frac{22}{7}[/tex]
[tex]D = \frac{132}{1}[/tex] × [tex]\frac{7}{22}[/tex]
132 divide 22 = 6
D = 6 × 7
D = 42
40 points!
You are framing a picture with a frame of equal width on each side.
a. Write a polynomial that represents the area of the picture including the frame
b. Find the area of the picture including the frame when the width of the frame is 2 inches
a. a polynomial that represents the area οf the picture including the frame [tex]\mathrm{A = (x + 2w) \times (x + 2w) = (x + 2w)^2}[/tex]
b. The area οf the picture including the frame when the width οf the frame is 2 inches is [tex](x + 4)\²[/tex]
Why is it referred to as a polynomial?The English wοrd "polynomial" is derived from the Greek words "poly" and "nominal," which together denote "many sentences". The number of terms a polynomial can have is unbοunded.
a. Let x be the width οf the picture. Then the length of the picture is alsο x. Let w be the width οf the frame. The total width of the picture including the frame is (x + 2w), and the tοtal length of the picture including the frame is (x + 2w). Therefοre, the area of the picture including the frame is:
[tex]\mathrm{A = (x + 2w) \times (x + 2w) = (x + 2w)^2}[/tex]
b. If the width οf the frame is 2 inches, then w = 2. Substituting w = 2 into the polynomial above gives:
[tex]\mathrm{A = (x + 2w) \times (x + 2(2)) = (x + 4)^2}[/tex]
Therefore, the area οf the picture including the frame when the width οf the frame is 2 inches is (x + 4)² square units.
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An adult pass at the amusement park costs 1.6 times as much as a child’s pass.
How many dollars does an adult pass cost if a child’s pass costs:
By answering the supplied question, we may infer that the response is equation 1.6 x 30 Equals $48 for an adult pass if the price is $30.
so on.
What is equation?A mathematical equation links two statements and utilises the equals sign (=) to indicate equality. In algebra, an equation is a mathematical assertion that proves the equality of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign separates the numbers by a gap. A mathematical formula may be used to determine how the two sentences on either side of a letter relate to one another. The logo and the particular piece of software are usually identical. like, for instance, 2x - 4 = 2.
Let's assume that a child's pass costs $x.
The issue states that the price of an adult pass is 1.6 times that of a kid pass. Thus, an adult pass costs:
$1.6 times
So, if a child's pass is expensive:
a) If an adult pass costs $10, then 1.6 x 10 equals $16.
b) $20, then 1.6 x 20 Equals $32 for an adult pass.
1.6 x 30 Equals $48 for an adult pass if the price is $30.
so on.
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Probability and Stats: Suppose a group of research proposals was evaluated by a panel of experts to decide whether or not they were worthy of funding. When these same proposals were submitted to a second independent panel of experts, the decision to fund was reverse in 74 % of the cases. If the probability that a proposal is judged worth of funding by the first panel is 22 %, what is the probability that a worthy proposal is disapproved by both panels?
Answer: Let's define the events:
A: a proposal is judged worthy of funding by the first panel
B: the decision to fund a proposal is reversed by the second panel
We want to find the probability of the intersection of events A and B (i.e., a worthy proposal is disapproved by both panels). We can use the formula:
P(A and B) = P(B|A) * P(A)
We know that P(A) = 0.22 (the probability that a proposal is judged worthy of funding by the first panel). We also know that when a proposal is judged worthy of funding by the first panel, the probability that the decision to fund is reversed by the second panel is 0.74 (i.e., P(B|A) = 0.74).
Plugging in these values, we get:
P(A and B) = 0.74 * 0.22 = 0.1628
Therefore, the probability that a worthy proposal is disapproved by both panels is 0.1628, or approximately 16.28%.
Step-by-step explanation:
The function f(x)=√ Is modified as follows:
. It is multiplied by-3.
• x is replaced by x+3.
The new function is f(1) = -3√√2+3
Which of the following transformations will occur on the new, modified graph? Choose all that apply.
reflection over the y-axis
dilation
O reflection over the x-axis
Overtical translation
Answer:
Reflection in the x-axis
Step-by-step explanation:
f(x) = √x
Shift left 3 units:
f(x + 3) = √(x + 3)
Reflection in x-axis:
-f(x + 3) = -√(x + 3)
Vertical stretch:
-3.f(x + 3) = -3√(x + 3) = g(x)
g(1) = -3√((1) + 3)
g(1) = -6
Ayden filled up his car with gas before embarking on a road trip across the country. The car uses 2 gallons of gas for every hour driven, and after driving for 4 hours, there were 4 gallons of gas left in the tank. Write an equation for
�
,
G, in terms of
�
,
t, representing the number of gallons of gas remaining in Ayden's gas tank after
�
t hours of driving.
The solution is,
Total capacity: 12 gallons
Equation: G = 12 - R*t
What is mathematical expression?A mathematical expression is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
here, we have,
Let R be rate of gas consumption by car = 2 gallons/hr
Let G be the gallons in the car left
let g be the gallons used by the car while driving
Driven time, t = 4 hrs
Remaining gas =4 gallons
according to the question,
consumption rate, R = g/t
After driving for 4 hours
2 = g/4
g = 2*4 = 8 gallons
remaining gas = 4 gallons
therefore, total capacity of the car = 8 + 4 = 12 gallons
equation in terms of gas left,
G = 12 - R*t
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In yesterdays basketball game, Emily scored 19 points with a combination of 2-point and 3-point baskets. She scored a total of 9 baskets which graph below accurately models this situation?
The graph that models the situation is on the image at the end, we can see that she scored 8 2-pointers and 1 3-pointer.
How to find the graph?Let's define the variables:
x = number of 2-points that she scored.
y = number of 3-points that she scored.
We know that she scored 19 points, then we have the equation:
2x + 3y = 19
And we also know that she scored a total of9 baskets, so we have other equation:
x + y =9
Then we have a system of equations:
2x + 3y = 19
x + y = 9
The graph of that system is the graph that models the situation, it is shown at the end of the answer.
There you can see that the solution is (8, 1)
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Following are the transactions in the books of a Khaptad Ltd: Issues 4000, 12% debentures of Rs. 100 each at Rs 100 and redeemable at Rs 100. Issued 4000, 12% debentures of Rs. 100 each at Rs 100 and redeemable at Rs 90 Issued 4000, 12% debentures of Rs. 100 each at Rs 100 and redeemable at Rs 110 Issued 4000, 12% debentures of 100 each at Rs 110 and redeemable at Rs 100. Issued 4000, 12% debentures of 100 each at Rs 110 and redeemable at Rs 90 Issued 4000, 12% debentures of 100 each at Rs 110 and redeemable at Rs 110. Issued 4000, 12% debentures of Rs.100 each at Rs 90 and redeemable at Rs 100. Issued 4000, 12% debentures of Rs.100 each at Rs 90 redeemable at Rs 105. Issued 4000, 12% debentures of Rs.100 each at Rs 90 and redeemable Rs 95 Required: Journal entries: a. for the issue of debentures b. for the redemption of debentures
a. Journal entries for the issue of debentures:
Issues 4000, 12% debentures of Rs. 100 each at Rs 100 and redeemable at Rs 100.
Debit: Cash/Bank Account (4000 x 100) = 400,000
Credit: Debentures Account (4000 x 100) = 400,000
Issued 4000, 12% debentures of Rs. 100 each at Rs 100 and redeemable at Rs 90.
Debit: Cash/Bank Account (4000 x 100) = 400,000
Credit: Debentures Account (4000 x 90) = 360,000
Credit: Discount on Issue of Debentures Account (4000 x 10) = 40,000
Issued 4000, 12% debentures of Rs. 100 each at Rs 100 and redeemable at Rs 110.
Debit: Cash/Bank Account (4000 x 100) = 400,000
Credit: Debentures Account (4000 x 110) = 440,000
Credit: Premium on Issue of Debentures Account (4000 x 10) = 40,000
Issued 4000, 12% debentures of 100 each at Rs 110 and redeemable at Rs 100.
Debit: Cash/Bank Account (4000 x 110) = 440,000
Credit: Debentures Account (4000 x 100) = 400,000
Credit: Loss on Issue of Debentures Account (4000 x 10) = 40,000
Issued 4000, 12% debentures of 100 each at Rs 110 and redeemable at Rs 90.
Debit: Cash/Bank Account (4000 x 110) = 440,000
Credit: Debentures Account (4000 x 90) = 360,000
Credit: Discount on Issue of Debentures Account (4000 x 20) = 80,000
Issued 4000, 12% debentures of 100 each at Rs 110 and redeemable at Rs 110.
Debit: Cash/Bank Account (4000 x 110) = 440,000
Credit: Debentures Account (4000 x 110) = 440,000
Issued 4000, 12% debentures of Rs.100 each at Rs 90 and redeemable at Rs 100.
Debit: Cash/Bank Account (4000 x 90) = 360,000
Credit: Debentures Account (4000 x 100) = 400,000
Credit: Discount on Issue of Debentures Account (4000 x 10) = 40,000
Issued 4000, 12% debentures of Rs.100 each at Rs 90 redeemable at Rs 105.
Debit: Cash/Bank Account (4000 x 90) = 360,000
Credit: Debentures Account (4000 x 105) = 420,000
Credit: Premium on Issue of Debentures Account (4000 x 15) = 60,000
b. for the redemption of debentures:
Redemption of debentures issued at Rs. 100 and redeemable at Rs. 100:
Debenture Redemption A/C Dr. 400,000
To Debentureholders A/C 400,000
(Being the debentures of Rs. 100 each redeemed at par)
Redemption of debentures issued at Rs. 100 and redeemable at Rs. 90:
Debenture Redemption A/C Dr. 360,000
Loss on Redemption A/C Dr. 40,000
To Debentureholders A/C 400,000
(Being the debentures of Rs. 100 each redeemed at a discount of Rs. 10)
Redemption of debentures issued at Rs. 100 and redeemable at Rs. 110:
Debenture Redemption A/C Dr. 440,000
Gain on Redemption A/C Dr. 40,000
To Debentureholders A/C 400,000
(Being the debentures of Rs. 100 each redeemed at a premium of Rs. 10)
Redemption of debentures issued at Rs. 110 and redeemable at Rs. 100:
Debenture Redemption A/C Dr. 400,000
To Debentureholders A/C 400,000
(Being the debentures of Rs. 110 each redeemed at par)
Redemption of debentures issued at Rs. 110 and redeemable at Rs. 90:
Debenture Redemption A/C Dr. 360,000
Loss on Redemption A/C Dr. 40,000
To Debentureholders A/C 400,000
(Being the debentures of Rs. 110 each redeemed at a discount of Rs. 20)
Redemption of debentures issued at Rs. 110 and redeemable at Rs. 110:
Debenture Redemption A/C Dr. 440,000
To Debentureholders A/C 400,000
Gain on Redemption A/C Cr. 40,000
(Being the debentures of Rs. 110 each redeemed at par with a premium of Rs. 10)
Redemption of debentures issued at Rs. 90 and redeemable at Rs. 100:
Debenture Redemption A/C Dr. 400,000
Loss on Redemption A/C Dr. 10,000
To Debentureholders A/C 390,000
To Securities Premium Reserve A/C 20,000
(Being the debentures of Rs. 90 each redeemed at a discount of Rs. 10 and Securities Premium Reserve credited with Rs. 2.50 per debenture redeemed)
Redemption of debentures issued at Rs. 90 and redeemable at Rs. 105:
Debenture Redemption A/C Dr. 420,000
Loss on Redemption A/C Dr. 30,000
To Debentureholders A/C 390,000
To Securities Premium Reserve A/C 30,000
(Being the debentures of Rs. 90 each redeemed at a discount of Rs. 15 and Securities Premium Reserve credited with Rs. 7.50 per debent
solve; 12+|x+4|=10
(multiple choice)
No solution
x = -6
x= -2
x= -24
[tex] \: [/tex]
Given:-[tex] \rm \: 12 + |x + 4| = 10 ?[/tex][tex] \: [/tex]
Solution:-
[tex] \rm \: 12 + |x + 4| [/tex][tex] \: [/tex]
[tex] \rm \: 12 + ( - 6 + 4)[/tex][tex] \: [/tex]
[tex] \rm \: 12 + ( - 2)[/tex][tex] \: [/tex]
[tex] \underline{ \boxed{ \rm \green{ \: 10 \: }}}[/tex][tex] \: [/tex]
━━━━━━━━━━━━━━━━━━━━━━━━━━
hope it helps! :)
What does "things" refer to? Choose the word that completes the sentence.
The store was crammed with racks of used clothes. "How
pretty!" Mama said with a sigh as she stopped to examine
some silky scarves and beaded necklaces. "But we're here to
find things for you girls, not me."
"But we're here to find
for you girls, not me."
necklaces
clothes
racks
scarves
P
Answer: Clothes
Step-by-step explanation:
They are in a clothing store for the girls.
Hope this helped
For a binomial probability distribution, let n = 6 and p = 0.2608. Determine the probability of five successes. (Use 4 decimal places.)
The probability of five successes where the number of trials is 6 and the probability of success is p = 0.2608, for the binomial probability distribution is; P(x = 5) = 0.00535
What is the binomial probability function?The binomial probability function can be expressed as follows;
Pₓ = [tex]\binom{n}{k}[/tex] × Pˣ × (1 - P)⁽ⁿ ⁻ ˣ⁾
Where;
P = The probability of success
x = The number of successes
n = The number of trials
The details from the question includes;
The type of probability distribution = Binomial probability distribution
The number of trials = 6
The probability of success = 0.2608
Therefore;
The probability of success, P = 0.2608
Number of trials, n = 6
The required number of successes, x = 5
Plugging in the above values in the binomial probability formula , we get;
P₅ = [tex]\binom{6}{5}[/tex] × 0.2608⁵ × (1 - 0.2608)⁽⁶ ⁻ ⁵⁾ = 6 × 0.2608⁵ × (1 - 0.2608)⁽⁶ ⁻ ⁵⁾ ≈ 0.0054
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A sofa regularly sells for $570. The sale price is $541.50. Find the percent decrease of the sale price from the regular price.
Answer:
5%
Step-by-step explanation:
So how I figured this out was I subtracted 570 and 541.50 to find how much of a difference there was. I got 28.50 so now I know thats how much the sale took off. I'm sure there was a better way of figuring out this next part but this is how I did it, I took 570 and multiplied it by 0.10 to see what that would be. It ended up being 57 and thats not 28.50 so I multiplied 570 by 0.05 and ended up with 28.50. You coulda also divided the 57 by two to figure out is 0.05 which equals 5%.
d) Como se observa, al igualar las expresiones y resolver la ecuación que resulta, se
obtiene el mismo valor para x indicado en la tabla. ¿Qué pueden decir de este
valor con respecto a la gráfica?
Answer:
El valor obtenido para x es una solución a la ecuación y, por lo tanto, es un punto en la gráfica de la función. Esto significa que el punto (x,y) en la gráfica se encuentra en la recta que representa la ecuación
Step-by-step explanation:
The measures of two adjacent angles have a ratio of 3:5. The sum of the
measures of the two adjacent angles is 120°. What is the measure of the
larger angle?
Answer:
75°
Step-by-step explanation:
The ratio of two adjacent angles is 3: 5
the total ratio = 3+5=8
the sum of the two adjacent angles = 120°
The measure of the larger angle
[tex] \frac{5}{8} \times 120 \\ = \frac{600}{8} \\ =75 [/tex]
Therefore the larger angle is 75°.
(100 POINTS AND BRAINLYEST)
(SOLVE ALL)
24.2 miles above
2. The line of site to the horizon would be tangent to the Earth’s surface. What kind of angle is formed between the radius of the Earth and the line of site? (1 point)
3. You will be setting up a right triangle to solve this problem using the radius of the Earth (3,959 miles), the distance to the horizon (which is unknown), and the altitude of Felix. Sketch and image of this scenario. Include distances on the right triangle. (3 points)
4. Use the Pythagorean Theorem to find the distance from Felix in the image to the horizon. (3 points)
5. Standing on the ground, the surface of the Earth appears to be flat. How far would a person on the ground have to travel to get a point on the horizon that Felix could see. Sketch a right triangle of this scenario using the altitude of Felix, the distance to the horizon, and the distance on the ground to the horizon (which is unknown). Include distances on the right triangle. Use the Pythagorean Theorem to find the missing side of the triangle. (5 points)
6. Use the answer from number 5 to determine the central angle of the Earth that Felix is viewing from his altitude. Treat the answer from number 5 like an arc length. You will need to use the radius of the Earth in this problem. Answer in radians or degrees. (2 points)
The analysis of the distances and angles viewed by Felix are presented as follows;
2. The angle formed is a right angle
3. Please find the drawing of the scenario created with MS Word
4. The distance obtained using Pythagorean Theorem is about 438.53 miles
5. The distance the person travels is about 437.86 miles
6. The central angle Felix is viewing from his altitude is about 6.34°
What is the Pythagorean Theorem?The Pythagorean Theorem states that the square of the hypotenuse side of a right triangle is equivalent to the sum of the squares of the legs of the right triangle.
2. The angle formed by a tangent to a spherical surface, such as the Earth's approximately spherical surface and the radius of the sphere is a right angle.
Therefore;
The angle formed between the radius of the Earth and the tangential line of sight is a right angle3. The possible elevation of Felix above the Earth's surface, obtained from a similar question is; 24.214 miles
Therefore;
The legs of the right triangle are the radius of the Earth and the distance from Felix's to the point on the horizon.
The hypotenuse sum of Felix's altitude and the radius of the Earth
Please find attached the drawing of the scenario created with MS Word
4. Pythagorean Theorem indicates that the distance from Felix to the image on the horizon, d, can be obtained as follows;
d = √((3,959 + 24.214)² - 3,959²) ≈ 438.53
The distance from Felix to the image on the horizon is about 438.53 miles
5. The distance the person has to travel can be found as follows;
The surface of the Earth is assumed to be flat
The distance to the horizon from Felix is about 438.53 miles
The distance, l, the person on the ground has to travel is therefore;
l = √(438.53² - 24.214²) ≈ 437.86
The distance the person on the ground has to travel to get to a point on the horizon Felix could see is about 437.86 miles6. The central angle, θ, of the Earth that Felix is viewing, with an arc length of 437.86 miles can be found using the formula for finding the arc length of a sector of a circle as follows;
θ/360 × 2 × π × 3,959 ≈ 437.86
θ ≈ 437.86 × 360/(3,959 × 2 × π) ≈ 6.34°
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find the range for the measure of the third side of a triangle given the measures of two sides, 7km and 29km
By answering the above question, we may state that Thus, the third side function might be anywhere between 22 and 36 kilometer's long.
what is function?Mathematicians research numbers, their variants, equations, forms, and related structures, as well as possible locations for these things. The relationship between a group of inputs, each of which has a corresponding output, is referred to as a function. Every input contributes to a single, distinct output in a connection between inputs and outputs known as a function. A domain, codomain, or scope is assigned to each function. Often, functions are denoted with the letter f. (x). The key is an x. There are four main categories of accessible functions: on functions, one-to-one capabilities, so many capabilities, in capabilities, and on functions.
The triangle inequality theorem states that the third side of a triangle's length must be bigger than the difference between the other two sides and less than the total of the other two sides.
Hence, the third side's range of potential lengths for a triangle with sides of 7 km and 29 km is:
The third side's length is less than 29 km plus 7 km, which equals 36 km.
The third side is longer than 29 km minus 7 km, which equals 22 km.
Thus, the third side might be anywhere between 22 and 36 kilometer's long.
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Pat says that 4-(p+p+p) is the same as 4-p+p+p. 6 a By replacing p by 3 in both expressions, show that Pat is wrong. b Simplify each expression algebraically.
The required, two expressions are not equivalent, and Pat's claim is false.
What is simplification?Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression.
Here,
a) To show that Pat is wrong, we can substitute p = 3 into both expressions and compare the results:
4 - (p + p + p) = 4 - (3 + 3 + 3) = 4 - 9 = -5
4 - p + p + p = 4 - 3 + 3 + 3 = 7
Since the two expressions have different values when p = 3, Pat's claim is false.
b) Simplifying each expression algebraically, we have:
4 - (p + p + p) = 4 - 3p
4 - p + p + p = 4 + p
Therefore, the two expressions are not equivalent, and Pat's claim is false.
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ΔABC and ΔDEF are similar
triangles. Find BC.
The length of BC in the triangle is 24 units.
How to find the similar triangle?Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.
Therefore, using proportion,
BC / x = 12 / x - 4 = x + 7 / 5
12 / x - 4 = x + 7 / 5
cross multiply
12 × 5 = (x - 4)(x + 7)
60 = x² + 7x - 4x - 28
x² + 3x - 28 - 60 = 0
x² + 3x - 88 = 0
x² - 8x + 11x - 88 = 0
x(x - 8) + 11(x - 8) = 0
(x + 11)(x - 8) = 0
Therefore,
x = - 11 and x = 8
Hence,
BC / x = 12 / x - 4
BC / 8 = 12 / 8 - 4
BC / 8 = 12 / 4
4BC = 96
BC = 96 / 4
BC = 24 units
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Prove for any real number, |x−6|+x>3. Please use proof by cases, explaining each as you go.
The proof of |x−6|+x>3 is shown below.
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Unlike to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
We have |x−6|+x>3.
Now, opening the absolute value
|x−6|+x>3
-(x- 6) + x >3
-x + 6 +x > 3
6 > 3
Thus, |x−6|+x>3 has been proved.
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Using the formula :-
[tex]\tt A\:=\:PMT\:\cdot \left[\frac{\left(1+\cfrac{APR}{n}\right)^{nY}-1}{\cfrac{APR}{n}}\right][/tex]
Find the savings plan balance after 2 years with an APR of 6% and monthly payments of $150.
got my answer as 3814.79, just want to check my work, thanks!:)
The savings plan balance after 2 years with an APR of 6% and monthly payments of $150 is approximately $3,814.79.
What are payments?
In compensation for products or services received or to fulfill a legal duty, payment is the voluntarily given exchange of money, its equivalent, or other valuables from one person to another. Frequently, the individual giving the money is referred to as the payer, while the person receiving it is referred to as the payee.
Assuming that the payments are made at the end of each month, we can use the formula -
[tex]A = PMT\Bigg[\frac{\big(1+\frac{APR}{n}\big)^{nY}-1}{\frac{APR}{n}}\Bigg][/tex]
where -
A = the savings plan balance after 2 years
PMT = the monthly payment ($150)
APR = the annual percentage rate (6%)
n = the number of compounding periods per year (12, since the payments are made monthly)
Y = the number of years (2)
Plugging in the values, we get -
[tex]A = 150\Bigg[\frac{\big(1+\frac{0.06}{12}\big)^{12 \times 2}-1}{\frac{0.06}{12}}\Bigg][/tex]
A ≈ $3,814.79
Therefore, value is obtained as $3,814.79.
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Given: Prove: Two parallel lines passing the vertices with red line r at points (c, d) at (2, 10) and (0, b) at (0, 6) and blue line s intercepts (c, 0) at (2, 0) and (0, a) at (0, minus 4) Statements Reasons 1. given 2. application of the slope formula 3. distance from to equals the distance from to definition of parallel lines 4. application of the distance formula 5. substitution property of equality 6. inverse property of addition 7. substitution property of equality Which step of the proof contains an error? A. Step 6 B. Step 4 C. Step 2 D. Step 5
The two lines are intercept of each other and can intersect each other and are perpendicular to each other.
With examples, what is line intercept sampling?
To calculate the cover of specified classes in the landscape, such as forests or different types of forests, line intercept sampling is utilized.
Over the region of interest, line samples are randomly placed, and it is then examined what percentage of each sample line falls into the target area class.
The points at which a line crosses an axis are known as the xxx-intercept and the yyy-intercept, respectively.
Thus, the two lines are intercept of each other and can intersect each other and are perpendicular to each other.
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Simplify expression 6+(-4)(2-3)^2=
Answer:
We can simplify the expression as follows:
First, we need to evaluate the exponent in parentheses:
2-3 = -1
Next, we need to square -1:
(-1)^2 = 1
Now, we can substitute 1 back into the expression:
+(-4)(1)
Finally, we can simplify:
+(-4) = -4
Therefore,
+(-4)(2-3)^2 = -4.
Step-by-step explanation:
Doreen lives 3/5 mile from the library. Sheila lives 1/3 as far away from the library as Doreen
Select yes or no for each statement
Does Doreen live father from the Library than Sheila
Yes or No
Does Sheila live 1/5 mile from the library
Yes or No
Does Sheila live twice as far from the library as Doreen
HELP!!!! LIMITED TIME PLEASE!!!!!
What is the domain of the function shown on the graph below?
(Photo of graph is added)
Select one,
(-3, -2,-1,0}
(-3,-2,2,3}
(-3,-2,-1,-0]
(-3, -2,-2,-3)
Answer:
(-3,-2,2,3}
that is the answer
Calculate the rate of power drainage per hour if the capacity of the cell phone is 3600 mAh
calculate the rate of power drainage per hour if the capacity of the cell phone is 3600 mAh
