Step-by-step explanation:
By the concept of absolute value, we have:
\( | - 9| = 9 \\ \\ | - 15| = 15 \\ \\ |14| - | - 14| \\ = 14 - 14 \\ = 0\)
What is congruent example?.
The concept and examples of congruence are described below.
What is congruent?The word 'congruent' signifies 'precisely equivalent' concerning shape and size. In any event, when we turn, flip, or pivot the shapes, they stay equivalent. For instance, draw two circles of similar range, then cut them out and put them on each other.
Example of congruent angle in geometry:congruent angles have a similar point measure. For instance, an ordinary pentagon has five sides and five points, and each point is 108 degrees. No matter what the size or size of a customary polygon, the points will constantly be compatible.
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Determine if the two lines are parallel. The line passing through the points(-2, 1 ) and (4, 3). The line passing through the points (3, -2) and (5, -1)
Answer:
no they are not
Step-by-step explanation:
Please help me :) it would mean a lot
Please help me, I really have to get this right or i’ll get my grade dropped. :/
Answer:
C. Q was flipped over the y axis
What is the value of the expression -218 - 72 - (-5)?
Answer:
The answer is -285
Step-by-step explanation:
To make fruit punch, the recipe calls for 2 parts of orange juice, 3 parts of ginger ale, and 2 parts cranberry juice. If 24 ounces of orange juice is used, how much ginger ale should be used?
Answer: I believe the answer is 36 but I'm not 100% sure.
Step-by-step explanation: 24/2=12
12x3=36
Answer: 36 ounces of ginger ale
Step-by-step explanation: 2/2=1 1x3=3 24/2=12 12x3=36
Find and interpret the slope and y-intercept in this real-world situation.
The slope is negative two thirds, and the y-intercept is 9. The candle starts at a height of 9 inches and decreases two thirds of an inch every hour.
The slope is negative three halves, and the y-intercept is 9. The candle starts at a height of 9 inches and decreases three halves of an inch every hour.
The slope is 9, and the y-intercept is negative two thirds. The candle starts at a height of two thirds of an inch and decreases 9 inches every hour.
The slope is 9, and the y-intercept is negative three halves. The candle starts at a height of three halves of an inch and decreases 9 inches every hour.
The meaning of the slope and y-intercept in this real-world situation is: A. The slope is negative two thirds, and the y-intercept is 9. The candle starts at a height of 9 inches and decreases two thirds of an inch every hour.
What is the slope-intercept form?Mathematically, the slope-intercept form of the equation of a straight line is given by this mathematical expression;
y = mx + c
Where:
m represents the slope or rate of change.x and y are the points.c represents the y-intercept or initial value.Based on the information provided in the graph, the slope can be calculated as follows;
Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope (m) = rise/run
Slope (m) = (9 - 7)/(0 - 3)
Slope (m) = -2/3.
Additionally, the y-intercept is given by;
y-intercept, c = (0, 9).
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4 meters to 100 centimeters
Answer:
This is incorrect because 1 meter is 100 centimeters. But then when you keep going and when you get to 4 meters, you would get 400.
For example:
1 meter - 100 centimeters
2 meters - 200 centimeters
3 meters - 300 centimeters
4 meters - 400 centimeters
Hope this helps!
the 4 steps of visual analysis include: divided, stable, convincing, and causal. define one of these 4 steps.
The capacity to overcome opposition or hesitancy to accept is referred to as convincing.
What is convincing?Convincing can also be described by other words like cogent, sound, telling, and valid.
Despite the fact that all of these words have the same meaning—"having such force as to compel serious attention and typically acceptance”—convincing denotes the ability to go over resistance or hesitation to accept.
When you say that someone or something is compelling, you indicate that they persuade you that something is real, accurate, or true.
Three fundamental strategies for persuading a listener to agree with you are ethos, logos, and pathos.
A more appropriate translation today may be "picture."
The audience's perception of the speaker's character, according to Aristotle, is referred to as ethos.
Therefore, the capacity to overcome opposition or hesitancy to accept is referred to as convincing.
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what is the value of the negative zero of the function, f, defined by
f(x) = x^2 - 16
Answer:
x = -4
Step-by-step explanation:
f(x) = x² - 16
This is the difference of squares
which factors as
f(x) = (x - 4)(x + 4)
Therefor the negative zero is
x = -4
Find the surface area of the cylinder. Use 3.14 for pi. a hay bale with a diameter of 30 inches and a height of 72 inches
about [ ] in.²
Answer:
8199.56 inches²
Step-by-step explanation:
A=2πd
2h+2π(d
2)2=2·π·30
2·72+2·π·(30
2)2≈8199.55683in
identify a unit of measure that serves as a conversion factor between linear and angular measurements.
One common unit of measure that serves as a conversion factor between linear and angular measurements is the radian (rad).
A radian is defined as the angle subtended at the center of a circle by an arc of the circle equal in length to the radius of the circle.
Since the circumference of a circle is 2π times the radius, there are 2π radians in a full circle. Therefore, one can use the following conversion factors
1 radian = 180/π degrees (approx. 57.3 degrees)
1 degree = π/180 radians (approx. 0.01745 radians)
These conversion factors allow you to convert between linear measurements (such as arc length or circumference) and angular measurements (such as angles in degrees or radians) when dealing with circular motion or rotational systems.
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Now you can place a division block at your point and divide it into four equal-sized pieces. Then you will know where x is on the number line 0Use the number line to help solve the equation. )4x= 134x+2+3 40 12567891011121314
The equation to solve is
\(4x=13\)We need to isolate x.
That means dividing 13 by 4.
So,
\(\frac{13}{4}=3\frac{1}{4}\)This is the value of x, 3 and 1/4th.
In the number line, it is just past "3".
Answer is
\(3\frac{1}{4}\)
U is the midpoint of TV. If TU = x - 6 and TV = 3x – 23, what is TU?
Answer:
TU = 5
Step-by-step explanation:
Since, U is the midpoint of TV.
\(\therefore TV = 2 \times TU \\ 3x - 23 = 2(x - 6) \\ 3x - 23 = 2x - 12 \\ 3x - 2x = 23 - 12 \\ x = 11 \\ \\ TU = x - 6 \\ TU = 11 - 6 \\ \huge \red { \boxed{TU = 5}}\)
Bella is buying balloons for a back to school celebration. She sees there are 4
packages of 15 balloons for $18 and 5 packages of 10 balloons for $16. Which is
a better deal? How do you know? Are you comfortable with Bella's buying
habits? Why or why not? help plsss
Answer:
The first unit price ($0.30/balloon) beats the second ($0.32/balloon).
Step-by-step explanation:
4 packages of 15 balloons for $18 works out to 1 package of 15 balloons for $18/4, or $4.50. That'd be
$4.50
---------------- = $0.30/balloon.
15 balloons
Next: 5 packages of 10 for $16 works out to 1 package of 10 for $16/5, or
1 package of 10 for $3.20. That'd be
$3.20
----------------- = $0.32/balloon
10 balloons
The first unit price ($0.30/balloon) beats the second ($0.32/balloon).
If Bella understands the math involved in finding unit costs and actually does the work prior to buying anything, then I'm comfortable with her buying habits.
Both deals are almost same.
We have a girl Bella who is buying balloons for a back to school celebration. She sees there are 4 packages of 15 balloons for $18 and 5 packages of 10 balloons for $16.
We want to know which is a better deal with appropriate reason. We have to morally investigate on the basis of our thinking whether or not Bella's buying habits are good or not.
If 'n' balloons cost $ x, then the cost of 1 balloon will be?The cost of 1 balloon will be = \(\frac{x}{n}\) (in dollars)
Now, according to question -
Case 1 :
The total number of balloons are 15 x 4 = 60 balloons.
The cost of these 60 balloons is $ 18.
Cost of 1 balloon = \(\frac{18}{60}\) = $ 0.3
Case 2 :
The total number of balloons are 10 x 5 = 50 balloons.
The cost of these 60 balloons is $ 16.
Cost of 1 balloon = \(\frac{16}{50}\) = $ 0.32
It can be concluded that the both deals are almost same and i think that it is okay to spend a bit amount of money for a back to school party.
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if u do this you are a life saver
Answer:
1.) 18/36
2.) 9/36
3.) 12/36
4.) 3/36
Answer:
1. 1/2
2. 1/4
3. 1/3
4. 1/12
Step-by-step explanation:
Each grid has a total amount of 36 squares. Count the grey squares and use that as a ratio to the squares in total. Simplify your ratios, and there you have it. I saved la life bruda 8)
A frequency table of grades has five classes (A, B, C, D, F) with frequencies of 2, 12, 14, 4, and 1 respectively. Using percentages, what are the relative frequencies of the five classes? Complete the table Grade Frequency Relative frequency А. 2 % B 12 % с 14 % D 4 % F 1 % (Round to two decimal places as needed.) A frequency table of grades has five classes (A, B, C, D, F) with frequencies of 2, 12, 14, 4, and 1 o respectively. Using percentages, what are the relative frequencies of the five classes? Complete the table Grade Frequency Relative frequency A 2 B 12 % с 14 D 4 % 1 (Round to two decimal places as needed.)
The completed table with relative frequencies rounded to two decimal places is:
Grade Frequency Relative frequency
A 2 6.06%
B 12 36.36%
C 14 42.42%
D 4 12.12%
F 1 3.03%
To calculate the relative frequencies of the five classes, we need to divide each frequency by the total frequency and then multiply by 100 to convert it into a percentage. The total frequency is the sum of all frequencies:
Total frequency = 2 + 12 + 14 + 4 + 1 = 33
To calculate the relative frequency for each class:
Relative frequency of A = (2/33) x 100% = 6.06%
Relative frequency of B = (12/33) x 100% = 36.36%
Relative frequency of C = (14/33) x 100% = 42.42%
Relative frequency of D = (4/33) x 100% = 12.12%
Relative frequency of F = (1/33) x 100% = 3.03%
So, the completed table with relative frequencies rounded to two decimal places is:
Grade Frequency Relative frequency
A 2 6.06%
B 12 36.36%
C 14 42.42%
D 4 12.12%
F 1 3.03%
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Agee technology, inc., issued 9% bonds, dated january 1, with a face amount of $1,900 million on july 1, 2021, at a price of $1,870 million. for bonds of similar risk and maturity, the market yield is 10%. interest is paid semi-annually on june 30 and december 31.
required:
what would be the amount(s) related to the bonds that agee would report in its statement of cash flows for the year ended december 31, 2021, if it uses the indirect method? (list any cash outflows with a minus sign. enter your answer in millions rounded to 1 decimal place (i.e., 5,500,000 should be entered as 5.5).)
The total amount of cash outflows related to the bonds would be -$1,680 million if it uses the indirect method.
What is Bonds?A bond is a sort of instrument used in finance where the issuer owes the holder a debt and is required, depending on the conditions, to return the principal and interest on the bond at the maturity date.
what is Simple Interest?Simple interest is calculated based on a loan's principle or the initial deposit into a savings account. Simple interest doesn't compound, therefore a creditor will only charge interest on the principle sum, and a borrower will never be required to pay further interest on the interest that has already accrued.
Since the face value of the bonds is $1,900 million, the annual interest payment is $1,900 million * 10% = $190 million. Two payments will be made and each of these payments will be for $190 million / 2 = $95 million. Therefore,
$95 million * 2 = $190 million.
It received $1,870 million in cash from the bond issuance.
Therefore, the cash outflow for the bond issuance will be -$1,870 million.
If it uses the indirect method, Then,
$190 million + -$1,870 million = -$1,680 million (rounded to 1 decimal place).
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does anyone else hate school right know
Yeah it literally sucks I can't concentrate because of the internet issues
Answer:
Yes! I hate this thing as well it ruined everything!!!!!!!
The number of bacteria in a refrigerated food product is given by N(T) = 307² - 112T+75,
3
When the food is removed from the refrigerator, the temperature is given by T(t) = 3t+1.7, where t is
the time in hours.
Find the composite function N(T(t)):
N(T(t)) =
Find the time when the bacteria count reaches 20082.
Time Needed ==
hours
The composite function N(T(t)) = 20082.The time when the bacteria count reaches 20082 is approximately 30.28 hours.
To find the composite function N(T(t)), we need to substitute the expression for T(t) into the function N(T).
Given:
N(T) = 307² - 112T + 75
T(t) = 3t + 1.7
Substituting T(t) into N(T), we get:
N(T(t)) = 307² - 112(3t + 1.7) + 75
Simplifying:
N(T(t)) = 307² - 336t - 190.4 + 75
N(T(t)) = 307² - 336t - 115.4
Now let's find the time when the bacteria count reaches 20082.
N(T(t)) = 20082
307² - 336t - 115.4 = 20082
Taking 115.4 to the other side:
\(307^2\) - 336t = 20082 + 115.4
307² - 336t = 20197.4
336t = 307² - 20197.4
Dividing by 336:
t = (307² - 20197.4) / 336
Calculating the value of t:
t ≈ 30.28
Therefore, the time when the bacteria count reaches 20082 is approximately 30.28 hours.
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Then choose whether you would find the percent increase or percent decrease: A town’s population was 36,067 in 2005. Ten years later, the population is 37,902. *
To answer this question, we can proceed as follows:
1. We have that the change is (in percentage):
Then, we have:
\(\frac{37902-36067}{36067}\cdot100=\frac{1835}{36067}\cdot100\approx0.0508\cdot100\approx5.087\)Therefore, the percent increase was about 5.1%.
write the expression as a single fraction:
please help, giving brainliest :)
Answer:
\(\frac{4a^{2} + 15b}{10ab}\)
Step-by-step explanation:
find the least common denominator for both fractions then combine them to find:
\(\frac{4a^{2} + 15b}{10ab}\)
ATTENTION I need this ASAP so if you could, please look at the photo. Also this is for 50 points.
Which situation can be represented by the inequality x < 56? A) Tina's dog weighed 56 pounds two months ago. He gained weight and weighs x pounds now. B) Tina has x dollars. She has more than enough money to buy a camera that costs $56. C) Tina walks for 56 minutes. She walks for the same amount of time as her sister, who walks for x minutes. D) Tina's height is x inches. She is shorter than her brother, whose height is 56 inches.
Given:
The inequality is \(x<56\).
To find:
The correct situation for the given inequality.
Solution:
Tina's dog weighed 56 pounds two months ago. He gained weight and weighs x pounds now. It means, weighs x pounds is more than 56 pounds.
\(x>56\)
So, option A is incorrect.
Tina has x dollars. She has more than enough money to buy a camera that costs $56. It means, amount $x is more than required amount $56.
\(x>56\)
So, option B is incorrect.
Tina walks for 56 minutes. She walks for the same amount of time as her sister, who walks for x minutes. It means, x is equal to 56.
\(x=56\)
So, option C is incorrect.
Tina's height is x inches. She is shorter than her brother, whose height is 56 inches. It means, Tina's height is x inches is less than her brother's height, i.e., 56 inches.
\(x<56\)
Therefore, the correct option is D.
Answer:
11
Step-by-step explanation:
I'm in K12 and this is right
The tortoise versus the hare: The speed of the hare is given by the sinusoidal function H(t)=(1/2)− (1/2)cos(2πt) whereas the speed of the tortoise is T(t)=√t, where t is time measured in hours and speed is measured in kilometers per hour. If the race is over in 1 hour, who won the race and by how much? Use a calculator to determine the intersection points, if necessary, accurate to three decimal places.
The tortoise won the race.To determine who won the race and by how much, we need to compare the distances traveled by the hare and the tortoise within 1 hour.
The distance traveled by the hare, H(t), is given by integrating its speed function over the time interval [0, 1]:
\[D_H = \int_{0}^{1} H(t) dt = \int_{0}^{1} \left(\frac{1}{2} - \frac{1}{2}\cos(2\pi t)\right) dt\]
Evaluating the integral:
\[D_H = \left[\frac{1}{2}t - \frac{1}{4\pi}\sin(2\pi t)\right]_0^1 = \frac{1}{2} - \frac{1}{4\pi}\sin(2\pi) - \left(0 - \frac{1}{4\pi}\sin(0)\right)\]
\[D_H = \frac{1}{2} - \frac{1}{4\pi}\sin(2\pi) = \frac{1}{2}\]
The distance traveled by the tortoise, T(t), is obtained by integrating its speed function over the time interval [0, 1]:
\[D_T = \int_{0}^{1} T(t) dt = \int_{0}^{1} \sqrt{t} dt\]
Evaluating the integral:
\[D_T = \left[\frac{2}{3}t^{3/2}\right]_0^1 = \frac{2}{3} - 0 = \frac{2}{3}\]
Comparing the distances traveled, we find that \(D_H = \frac{1}{2}\) and \(D_T = \frac{2}{3}\). Therefore, the tortoise won the race by \(\frac{2}{3} - \frac{1}{2} = \frac{1}{6}\) of a kilometer.:
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is 6.3434 rational or irrational
Answer:
it is a rational number
Step-by-step explanation:
Evaluate the expression using the given value 5a+3 a=6
Answer- 33
We are told that A=6, there for we can right out our equation fully.
(5 x 6)+3. Our multiplication sentence with go in parentheses ( ) so we know to do that part of our equation first. 5 times 6 is 30. After we multiply we add our outside number(s). 30 plus 3 is 33. Which means the solution to the equation is 33.
5a +3= 33 or (5x6) +3 = 33
Hope this helps! and GOOD LUCK.
use the data to develop an estimated regression equation that could be used to predict the annual maintenance expense in hundreds of dollars (y) for a given number of hours of weekly usage (x). what is the estimated regression model? (round your numerical values to four decimal places.)
y = 0.1029x + 99.7514
The estimated regression model for predicting annual maintenance expense (y) for a given number of hours of weekly usage (x) is y = 0.1029x + 99.7514. To calculate this regression equation, you can use the least-squares method to minimize the sum of the squared errors between the predicted values and the actual values. The regression equation can be used to calculate the estimated maintenance expense (in hundreds of dollars) for any given number of hours of weekly usage.
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\(\sqrt[4]1296/25}\)
The simplified value of \(\sqrt[4]{1296} /25\) is 0.24.
What is simplification?Simply put, to simplify is to make something simpler. Simplifying an equation, fraction, or issue in mathematics entails taking something complex and making it simpler. The issue is made simpler by calculations and problem-solving strategies. We can simplify fractions by removing all common elements from the numerator and denominator and putting the fraction in its simplest/lowest form.
Given \(\sqrt[4]{1296} /25\)
factors of 1296 are = 2⁴ x 3⁴
\(\sqrt[4]{1296}\) = \((2^{4} *3^{4}) ^{\frac{1}{4} }\)
\(\sqrt[4]{1296}\) = 6
\(\sqrt[4]{1296} /25\) = 6/25
\(\sqrt[4]{1296} /25\) = 0.24
Hence the value is 0.24.
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A researcher is investigating the effect of sleep deprivation on learning. She recruits 30 participants and randomly assigns half to a "no sleep" group and half to a "regular sleep" group. The "no sleep" group are required to stay up all night and report to a testing room at 2PM the following day. The "regular sleep" group are instructed to have a normal night's sleep and report to the testing room at 9AM the following day. Unfortunately, a water pipe broke outside the testing room window and there was noisy construction crew working the whole day of testing. Which of the following statements is true?
a. The study may be affected by a situational variable.
b. The construction noise may contribute to variability in test scores.
C. The study has a confounding variable. The groups differ in the time they are to report to the testing room.
d. All of these are true.
The study has a confounding variable since the two groups differ in the time they were supposed to report to the testing room. Since the groups differed in terms of sleep deprivation and the time they were supposed to report to the testing room, the effect of sleep deprivation on learning could not be isolated.
The statement that is true is: d. All of these are true.Explanation:A study may have various sources of variability, including participant selection, the setting in which the study is conducted, and the measure used. The following options are as follows:a. The study may be affected by a situational variable.b. The construction noise may contribute to variability in test scores.c. The study has a confounding variable. The groups differ in the time they are to report to the testing room.d. All of these are true.Therefore, all of these options are true. For example, the study may be affected by a situational variable if a natural disaster or other unforeseen event happens that causes the study to be disrupted. In this case, the study was disrupted by a noisy construction crew, which may have contributed to variability in test scores. The study has a confounding variable since the two groups differ in the time they were supposed to report to the testing room. Since the groups differed in terms of sleep deprivation and the time they were supposed to report to the testing room, the effect of sleep deprivation on learning could not be isolated.
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