The given expression 2(x − 7) + 10 matches with two times the difference of x and seven plus ten. Option B is correct.
Given that,
Which phrase matches the algebraic expression 2(x − 7) + 10 is to be determined.
In mathematics, it deals with numbers of operations according to the statements.
What is simplification?The procedure in mathematics to utilize and analyze the function or expression to make the function or expression uncomplicated or more coherent is called simplifying and the process is called simplification.
Here,
2(x − 7) + 10
When we turn the above algebraic expression into word phrase,
"two times the difference of x and seven plus ten"
Thus, the given algebraic expression 2(x − 7) + 10 matches with two times the difference of x and seven plus ten. Option B is correct.
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For the function [tex]y=-2x^2+4x+1[/tex], what are the coordinates of the vertex?
Is it a maximum or minimum point?
Hint: consider using [tex]x=-b/2a[/tex]. Show all work algebraically
SERIOUS ANSWERS ONLY! NO SPAM!
[tex]x_0=\dfrac{-b}{2a} =\dfrac{-4}{2\times(-2)}=1\\y_0=-2\times1^2+4\times1+1=-2+4+1=3\\Answer: The\: vertex\: is \:(1;3). It's\:maximum\:point \:because \:a=-2<0[/tex]
These product of two consecutive integers is 72. The equation x(x+1)=72 represents the situation, where x represents the smaller integer. Which equation can be factored and solved for the smaller integer
Answer:
[tex]x-8[/tex], smaller integer is 8.
Step-by-step explanation:
Given:
The product of two consecutive integers is 72.
The equation x(x+1)=72 represents the situation, where x represents the smaller integer.
Question asked:
Which equation can be factored and solved for the smaller integer ?
Solution:
[tex]x(x+1)=72\\\\ x^{2} +x=72\\ \\ By\ subtracting\ both\ sides\ by\ 72\\ \\ x^{2} +x-72=72-72\\ \\ x^{2} +x-72=0\\ \\ x^{2} +9x-8x-72=0\\ \\ Taking\ x+9\ as\ common \\ \\ x(x+9)-8(x+9)=0\\ \\ x+9=0,x-8=0\\ \\ x=-9,x=8[/tex]
[tex]x-8[/tex] can be factored and solved for the smaller integer, and that is 8.
Two consecutive integers are 8 and 9 and their product is 8 [tex]\times[/tex] 9 = 72
Triangle ABC is dilated to get triangle A'B'C'. Which is the length of A'B'? 3 4 5 16
Answer:
the answer is 4
Step-by-step explanation:
Answer: 4
Step-by-step explanation:
What are the period and amplitude of the function?
A - period: π ; amplitude: 4
B - period: π ; amplitude: 2
C - period: 2π ; amplitude: 4
D - period: 2π ; amplitude: 2
Final answer:
The amplitude of a wave is its maximum displacement from equilibrium and can be directly read from the equation as A, while the period is the time for one complete cycle, inversely related to frequency as T = 1/f. Given a frequency of 2.0 MHz, the period is 5.0 x 10⁻⁷ seconds, with the amplitude being 30 V/m.
Explanation:
The period and amplitude of a sinusoidal function can be determined from its formula or graph. For example, in the given context, if we are presented with a wave with an amplitude of 30 V/m and a frequency of 2.0 MHz, we can calculate the period. We know that the period (T) of a wave is the inverse of the frequency (f), so T = 1/f. Given the frequency of 2.0 MHz, or 2.0 x 106 Hz, the period T is 5.0 x 10-7 seconds (since 1 Hz = 1/s). The amplitude is the maximum displacement from the equilibrium position, in this case, 30 V/m. The amplitude is typically denoted by A in the wave equation y(x, t) = A sin(kx - wt + p), and the period can be derived from the angular frequency with T = 2π/ω.
For a physical representation, observing a wave plotted on a graph such as in Figure 24.8(b) or a given wave function, the amplitude is seen as the distance from the equilibrium position (center line) to the peak, and the period is the time it takes for one complete cycle of the wave. Understanding these concepts is crucial for analyzing waves whether in physics or mathematics.
what are the 5 perfect square numbers between 50 and 140
Answer:
64, 81, 100, 121 there are 4
Step-by-step explanation:
Answer:
heyyy there
Step-by-step explanation:64, 81, 100, 121, are the perfect square numbers between 50 and 140..
64=8*8
81=9*9
100=10*10
121=11*11
................12 *12 bcoms 144 so its not between 144
hope it helps
1. The triangle depicted by the drawing has an actual area of 36 square units. What is the scale of the drawing? (Note: Each square on the grid has a length of 1 unit.) What's the answer to this??
Answer:
the the scale of the drawing is 1/4
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one. Please have a look at the attached photo.
As we know that, the formula to find the are of a triangle is:
A = 1/2 b*h where:
b is the baseh is the heightFrom the photo, we can see that, the height is 3 units and the base is 6 units. So the area of the shaded triangle is:
A = 1/2 6*3 = 9 square units
Given that the triangle depicted by the drawing has an actual area of 36 square units. So the the scale of the drawing is:
area of the shaded triangle / the actual area
9 /36 = 1/4
Hope it will find you well.
If you ignore the friction, the amount of time required for a box to slide down an inclined plane is √(2a/g•sin(theta)•cos(theta)), where a is the horizontal distance defined by the inclined plane, g is the acceleration due to gravity and theta is the angle of the inclined plane. For what values of theta is the expression undefined?
A. 0°
B. 90°
C. Both A and B
D. None
Given:
The time required for a box to slide down an inclined plane is
[tex]T = \sqrt{\frac{2a}{g(sin\theta cos\theta)} }[/tex]
where,
g be the,acceleration due to gravity.
[tex]\theta[/tex] be the inclined plane.
To find the value of [tex]\theta[/tex] for which the given expression is undefined.
Now,
T will be undefined if the denominator is 0.
⇒ [tex]g(sin \theta cos \theta) = 0[/tex]
or, [tex]sin\theta cos\theta = 0[/tex] [ g ≠ 0 it is a constant]
either [tex]sin\theta = 0[/tex] or [tex]cos\theta = 0[/tex]
For, [tex]sin\theta = 0[/tex] ⇒ [tex]\theta = 0^\circ[/tex]
Again,
For, [tex]cos\theta = 0[/tex] ⇒ [tex]\theta = 90^\circ[/tex]
Hence,
The expression will be undefined for the value of 0° and 90° of θ.
Option C.
Option(C). In the formula √(2a/g•sin(theta)•cos(theta)), the expression is undefined when theta=0° or 90°, since in these cases, sin(theta) or cos(theta) equal to zero respectively.
Explanation:Consider the formula √(2a/g•sin(theta)•cos(theta)).
The expression in the root (√) is undefined when we divide by zero. Looking at the formula, we divide by the product of sin(theta) and cos(theta). For the expression to be undefined, one or both must be zero.
The values of theta that would cause this to happen are when theta=0°, sin(theta)=0 and when theta=90°, cos(theta)=0.
Therefore, the expression is undefined when theta is either 0° or 90°.
So, the answer is C. Both A and B.
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Fran wanted to find out how adding salt changes the boiling point of water. She placed 100 ml of water in each of 4 beakers. She then added a different amount of salt to each beaker. Finally, using a hot plate, Fran heated the beakers of water.
When the water began to boil, she measured the temperature using a thermometer. Her results are in the table below.
Solution # Dissolved
Salt (g) Boiling Point
(°C)
1 0 100.0
2 5.6 100.5
3 11.2 101.0
4 16.8 101.5
5 22.4 102.0
How much salt does it take to raise the boiling point of water by one degree?
A.
22.4 g
B.
16.8 g
C.
11.2 g
D.
5.6 g
It takes (C) 11.2 grams of salt to raise the boiling point of water by one degree Celsius.
Let's examine the data provided:
Solution 1: 0 g of salt, boiling point = 100.0°CSolution 2: 5.6 g of salt, boiling point = 100.5°CSolution 3: 11.2 g of salt, boiling point = 101.0°CSolution 4: 16.8 g of salt, boiling point = 101.5°CSolution 5: 22.4 g of salt, boiling point = 102.0°CWe can observe the following pattern:
Adding 5.6 g of salt increases the boiling point by 0.5°C.Adding 11.2 g of salt increases the boiling point by 1.0°C (compared to Solution 1).Adding 16.8 g of salt increases the boiling point by 1.5°C (compared to Solution 1).Adding 22.4 g of salt increases the boiling point by 2.0°C (compared to Solution 1).To find out how much salt is needed to raise the boiling point by exactly one degree Celsius, we look at Solution 3 compared to Solution 1:
Solution 3 (11.2 g of salt) raises the boiling point by 1.0°C.Thus, 11.2 g of salt is needed to raise the boiling point of water by one degree Celsius.
Jessica had 6 quarters in her bank she spent 5 of her quarters how many quarters does she have now
Answer:
1
Step-by-step explanation:
A die is rolled 200 times with the following results. Outcome 1 2 3 4 5 6 Frequency 32 36 44 20 30 38 What is the experimental probability of rolling the given result?
The experimental probability of rolling a given result can be calculated by dividing the frequency of that outcome by the total number of trials.
Explanation:The experimental probability of rolling a given result can be calculated by dividing the frequency of that outcome by the total number of trials. In this case, the outcome with a frequency of 20 occurred 200 times, so the experimental probability of rolling that result is 20/200 = 0.10 or 10%.
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A tangent line is a line that insersecta a circle at exactly two points.
true or false
Answer:
False
Step-by-step explanation:
Correct statement would be:
A tangent line is a line that insersects a circle at exactly one point.
PLEASE HELP! Alayna knows that the North Star, Polaris, is a pole star appearing stationary in the sky as Earth spins. She also knows that there is not a South Star. This piques her curiosity. She wants to figure out which star is closest to being the South Star.
By studying the night sky, she has determined that if the South Star existed it would be at the coordinates (-2,2) on her star chart (shown below).
Which star is closest to where the South Star would be, as shown on Alayna's star chart?
STAR A
STAR B
STAR C
The distance from that star to where the South Star would be is ____ units
Round the final answer to the nearest tenth of a unit. Do not round intermediate calculations.
Answer:
star a; 5.7 units
Step-by-step explanation:
At a university in western Pennsylvania, there were 5 burglaries reported in 2003, 16 in 2004, and 32 in 2005. If a researcher wishes to select at random two burglaries to further investigate, find the probability that both will have occurred in 2004.
Answer: 121/1024
Step-by-step explanation:
If 5 burglaries were reported in 2003,
16 in 2004, this means that were addition of more (16 - 5) = 11
and 32 in 2005
Total outcome will be 32 windows
The probability that both will have occurred in 2004 will be
11/ 32 × 11/32 = 121/1024
The probability that both will have occurred in 2004 is 121/1024
Calculations and Parameters:Given that:
In 2003, 5 burglaries were reported
16 in 2004
Hence, the total outcome is 32
The probability that both will have occurred in 2004 will be
[tex]11/ 32 * 11/32 \\= 121/1024[/tex]
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What is the inverse of y=6^x?
The answer should be to 1 decimal place
2. Given the equation of a circle, (x - 5)2 + (y + 3)2 = 196, state the coordinates of the center and
the radius.
Center
,
); radius:
Answer:
centered at (5,-3)
radius of 14 units
Step-by-step explanation:
A linear transformation will be the opposite of what contained in the parentheses( (x-5)^2 will be a regular line x but +5 units along the axis.
Therefore the variables contained in the parentheses will then correspond to the transformation, so it will be shifted +5 units along the x and -3 units along the y.
The radius is simply the answer square rooted which is 14 units in this case.
Line segment SU is dilated to create S'U' using the dilation rule DQ,2.5.
What is the distance, x, between points U' and U?
Answer:
C ( 6 units
Step-by-step explanation:
just took the quiz
I NEED HELP SO BAD ON THIS QUESTION
Jane has three bottles that each hold 0.75 liters. She fills them with olive oil from a store that charges $0.21 for every 25 milliliters of oil.
How much does it cost Jane to fill her three bottles with olive oil?
Enter your answer in the box.
$
Answer:
$18.90
Step-by-step explanation:
Lets break this question down into smaller sections to make it easier:
There are 3 bottles
Each bottle can hold 0.75 liters
For every 25 milliliters she pays $0.21
With that information in mind, we notice that we need to convert liters to milliliters in order to get an accurate answer.
For every 1 liter = 1000 milliliters
So, we need to take 0.75 * 1000 = 750 milliliters per bottle
Next, we take 750 milliliters / 25 milliliters to find how many times we have to fill one bottle
Each bottle will take 30 times of 25 milliliters to fill the whole bottle
Now take 30 * $0.21 to find the cost of one bottle
One bottle = $6.30 to fill
Take $6.30 * 3 to find the total cost to fill ALL the bottles.
For a final result, we get $18.90 to fill all three bottles completely
Hope this Helps!
Answer:
it's 18.90
Step-by-step explanation
my friend told me it was 5.67 and for some reason i believed her but no i took the test and it's 18.90
The 24 colleges of interest to a high school senior include 8 that are expensive (tuition more than $20,000 per year), 8 that are far from home (more than 200 miles away), and 5 that are both expensive and far from home.
A. If the student decides to select a college that is not expensive and within 200 miles of home, how many selections are possible?
B. If the student decides to attend a college that is not expensive and within 200 miles from home during his first two years of college, and then will transfer to a college that is not expensive but is far from home, how many selections of two colleges are possible?
For part A, the student has 13 colleges to choose from that are not expensive and near home. For part B, the total possible selections of two colleges is 156, considering the student won't attend the same college before and after the transfer.
Explanation:The subject of this question pertains to probability and set theory, a branch of mathematics. We use the principle of inclusion and exclusion to solve the problem.
For part A. there are total 24 colleges, 8 are expensive which means 24 - 8 = 16 are not expensive. Among 24 colleges, 8 are far from home which means 24 - 8 = 16 are near. But remember, there are 5 colleges that are both expensive and far, hence these 5 colleges got subtracted twice. So, we need to add them back. The number of colleges that are not expensive and near home are 16 + 16 + 5 = 37. However, this goes beyond the total number of colleges, so we subtract 24 from it to get the correct count of 13.
For part B, the number of ways before transferring are the same as in part A, 13. The number of ways after transferring, there are total 24 colleges, 8 are expensive which means 24 - 8 = 16 are not expensive. Among 24 colleges, 8 are near which means 24 - 8 = 16 are far. Adding the count of not expensive and far gets us 16 + 16 = 32. Subtract the total number of colleges to get the correct figure 32 - 24 = 8. Nothing the student can't attend the same college before and after the transfer, so the count of total selections is 13 choices for the first selection multiplied by 12 choices for the second selection, getting us a total of 156 possible selections.
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A student earned a grade of 75% on a math test that had 20 problems. How many problems did the
student answer correctly?
Final answer:
To determine the number of problems the student answered correctly, calculate 75% of 20. The student correctly answered 15 out of 20 problems on the math test.
Explanation:
A student earned a grade of 75% on a math test that had 20 problems.
To find out how many problems the student answered correctly, we can simply calculate 75% of 20.
Step 1: Convert the percentage to a decimal: 75% = 0.75
Step 2: Multiply the decimal by the total number of problems: 0.75 × 20 = 15
Therefore, the student answered 15 problems correctly on the math test.
Five whole numbers are written in order
4 6 x y 10
The mean and median of the five numbers are the same.
Work out values of x and y.
Answer:
x=7
y=8
Step-by-step explanation:
-Given that the mean and median is the same.
-Let b=mean =median
#Given that the set is arranged in order and is even:
[tex]median=\frac{n+1}{2}\\\\Median=3^{rd} \ term\\\\=x[/tex]
Hence:
[tex]b=median=mean\\\\b=x\\\\\therefore mean=median=x[/tex]
-Applying the mean formula:
[tex]\bar x=\frac{1}{n}\sum{x_i}\\\\\therefore 5x=4+6+x+y+10\\\\4x=20+y\\\\x=5+0.25y[/tex]
#Since the number are in order:
[tex]6<x<y<10\\\\\#let\ x=7,y=8\\\#Substitute\\\\7=5+0.25(8)\\7=7\\\\[/tex]
Hence, x=7 and y=8
Evaluate 3x when x=4
Answer:
12
Step-by-step explanation:
3x =12 whn x=4
what do you mean by DEFCON ?
Answer:
DEFCON= MEANS DEFense readiness CONdition
Step-by-step explanation:
HI THERE: IT IS AN CALL OF ALERT STATE OF EMERGENCY WHICH IS SOMETIMES USED BY THE USAF (UNITED STATES AIR FORCE)
Which reasons did you include in your response? Check all that apply. The distributive property can be applied to multiply 4(28) mentally. The number 28 can be expanded to 20 + 8. The commutative property can be applied to reverse the order of numbers.
Answer:
Distributive property in multiplication
a) 4.(20+8) = 4.20 + 4.8
Commutative law property in multiplication
b) (28) 4 = 4(28)
Step-by-step explanation:
Explanation:-
Distributive property in multiplication.
Let a ,b ,c are three numbers
a.(b + c) = a. b + a. c
Given problem 4(28) = 4(20+8)
4.(20+8) = 4.20 + 4.8
= 80+32
= 112
Commutative law property in addition
a + b =b + a
20 + 8 = 8 + 20
Commutative law property in multiplication
ab = b a
(28) 4 = 4(28)
Commutative law property in multiplication
let a, b and c are three numbers
a(bc) = (ab)c
4×(7×4) = (4×7)×4
This wasn't the right tab sorry
Finding exact value using half angle identities
Why is my answer incorrect?
Step-by-step explanation:
Your mistake is here: cos(-45°) = +½√2, not -½√2.
±√((1 + ½√2) / 2)
= ±√((2 + √2) / 4)
what is the answer to 16x8
Answer is: 16x8 = 128
Experiments on learning in animals sometimes measure how long it takes mice to find their way through a maze. The mean time is 18 seconds for one particular maze. A researcher thinks that a loud noise will cause the mice to complete the maze faster. She measures how long each of 10 mice takes with a noise as stimulus. The sample mean is x = 16.5 seconds.The alternative hypothesis for the significance test is ________.a. [tex]H_a[/tex]:μ≠18b. [tex]H_a[/tex]:μ=16.5.c. [tex]H_a[/tex]:μ<18.
Answer:
Option c) [tex]H_a:\mu<18[/tex] is correctThe alternate hypothesis for the significance test is [tex]H_a:\mu<18[/tex]Step-by-step explanation:
The alternate hypothesis use the sumbol for the population value
Let p be the proportion , Mean be [tex]\mu[/tex] and stadard deviation be [tex]\sigma[/tex]
The null hypothesis states that population value is equal to the value mentioned in the given claim.
[tex]H_0:\mu=18[/tex] (by given).
The alternate hypothesis for the significance test states that the opposite of the null hypothesis(based on the claim )
∴ [tex]H_a:\mu<18[/tex]
The symbol "<" because we want to test if the maze is completed faster and thus if the time has decreased.
∴ option c) [tex]H_a:\mu<18[/tex] is correct.The schools sport Teams call the bank with the teams I charge $125 for the rental of the whole plus $12 for each meal so the total bill was $545 how many people attending the banquet
Answer:
35 People
Step-by-step explanation:
From the given information
$125 was charged for the rental of the hallEach Meal costs $12Total Bill = $545Let the number of people attending the banquet=x
Therefore:
Cost of Hall Rental + Total Meal Cost = Total Bill
125+12x=545
12x=545-125
12x=420
x=420/12=35
Since x=35, we conclude that 35 People attended the banquet.
Consider today's stock listing for Enam Telecom, shown below. 52 wk High 52 wk Low Symbol Div. Close Net Change 122.86 64.77 ENM 3.45 99.14 4.74 If the lowest price in the past year occurred 48 days ago, find the approximate average change per day since then. a. $4.74 b. $0.72 c. $0.49 d. $1.34
Answer:
B. $0.72
Step-by-step explanation:
Here is the stock listing for Enam Telecom
52 wk high is 122.86
52 wk low is 64.77
Div. is 3.45
Close is 99.14
Net change is 4.74
From the question the lowest price which was 64.77 was 48 days ago.
therefore net change in value is:
Close - lowest price:
99.14 - 64.77 = 34.37
Since change is in 48 days,
the average change per day is:
Total change / number of days = 34.37/48 = 0.716
This answer is approximately 0.72
Therefore average change per day is 0.72
Answer:
B
Step-by-step explanation:
Someone answer urgent and if so I will mark brainliest
Answer:
B is the correct answer
Step-by-step explanation:
A. is wrong because 3/8 would shrink the circle, not expand it.
B. is correct because 8/3 means the circle will expand, not shrink.
C. is wrong because those coordinates only reposition and move the circle, not dilate.
D. is wrong because those coordinates only reposition and move the circle, not dilate.