The x-intercept of the function represented on the graph is 3
How to complete the blank of the x-intercept?The graph represents the given parameters
To determine the x-intercept of the graph, we set y = 0
This means that the x-intercept of the graph is the point, where the line of the graph crosses the x-axis
For the graph, we have
When y = 0, the function has a value of 3
This means that
x-intercept is 3
Hence, the x-intercept of the graph is 7
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A cell phone provider offers a plan that costs 40$ per month plus 0.10$ per text message sent or received. A comparable plan costs 50$ per month but offers unlimited text messaging. Complete parts a. and b. below.
a. How many text messages would have to be sent or received in order for the plans to cost the same each month?
In order for the plans to cost the same,
enter your response here text messages would have to be sent or received.
(Simplify your answer. Type an integer or a decimal.)
answer:
100 text messages.
$50-$40 = $10
$10/$0.1 = 100
100 text messages
L, M and N are points on a circle, centre O.
QMT is the tangent at M
(1) find LNOM
(2) find LNMQ
Please help me guys it urgent it would really make my day.
The size if the angle NOM is 54.
What is angle?
An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.
What is tangent of circle?
A Tangent of a Circle is a line that touches the circle’s boundary at exactly one point. The tangential point is the place where the line and the circle meet.
Given,
M and N are points on a circle.
QMT is the tangent
O is the center.
angle NOM = 2 angle NLM
NOM = 2(27)
= 54.
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Magdalena's parents borrow $2600.00 from the bank for new appliances for their kitchen. The simple interest rate is 7% per year. How much interest will they have to pay if it takes them 4 years and 9 months to repay the loan? Please help
The total interest that Magdalena's parents would have to pay to repay the loan is $864.50
How to find the interest paid?The interest that Magdalena's parents will pay per year is:
= Value of loan x Simple interest rate per year
= 2, 600 x 7%
= $182
To find the total interest paid, this amount should then be multiplied by the number of years it would take Magdalena's parents to repay the loan. 4 years and 9 months in years is:
= 4 + 9/12 months in a year
= 4 + 3 / 4
= 4 + 0.75
= 4.75 years
The total interest is:
= 4.75 x 182
= $864.50
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What is the total volume of both boxes if s equals 8 inches
The total volume of both cubed boxes, combined, is of:
612 cubic inches.
What is the volume of a cube?The volume of a cube of side length s is given by the side length s cubed, as shown by the formula presented as follows:
V = s³.
In this problem, the boxes are given as follows:
Cubed box with side length of s = 8 inches.Cubed box with a volume of 100 cubic inches.The volume of the box with side length 8 inches is given as follows:
V = 8³ = 512 cubic inches.
(measure is in inches, hence the cubed measure is in cubic inches).
The total volume is given by the sum of the volumes of the two boxes, hence:
Total volume = 512 cubic inches + 100 cubic inches = 612 cubic inches.
Missing InformationThe image showing the cubes is given at the end of the answer.
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if y=10 when x=50 find y when x=125 ANSWER WITH COMPLETE SOLUTION PLEASE
[tex]{\sf{ \frac{10}{50} = \frac{y}{125} \\ →50y = 10 \times 125 \\→ y = 25}}[/tex]
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The equation of line g can be written as y=7/2x+6. Line h includes (-2,-3) and js parallel to line g. What is the equation of h?
Answer:
y = [tex]\frac{7}{2}[/tex] x + 4
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{7}{2}[/tex] x + 6 ← is in slope- intercept form
with slope m = [tex]\frac{7}{2}[/tex]
• Parallel lines have equal slopes , then
y = [tex]\frac{7}{2}[/tex] x + c ← is the partial equation of line h
to find c substitute (- 2, - 3 ) into the partial equation
- 3 = - 7 + c ⇒ c = - 3 + 7 = 4
y = [tex]\frac{7}{2}[/tex] x + 4 ← equation of line h
HELPPP MEEEEE PLEASEEEE
Answer: 2176 cm^2 i think
Step-by-step explanation:
Answer:
60 cm
Step-by-step explanation:
we can use the Pythagorean theorem:
a^2 = b^2 + c^2 where a is the hypothenuse
so 68^2 = 32^2 + c^2
rearrange: 68^2 - 32^2 = c^2
so 4624 - 1024 = c^2
= 3600
square root of 3600 = 60
missing side = 60 cm
g(x)= x^2-5 9x-17 (x+1)(x-5) g(7)=
The solution for g(7) in the piecewise function g(x) = (x + 1)(x - 5) is 16
How to determine the solution for the function?From the question, we have the equation that can be used in our computation to be a piecewise function
This piecewise function is represented as g(x)
Also from the question, we have the following function that we are to compute
g(7)
This means that the value of x is 7, and we calculate g(x) when x = 7
To do this, we make use of an equation in the piecewise function, where the domain occupies x = 7
This domain is x c (2, oo)
And the function is
g(x) = (x + 1)(x - 5)
Substitute the known values in the above equation, so, we have the following representation
g(7) = (x + 1)(x - 5)
So, we have the following equation
g(7) = (7 + 1)(7 - 5)
There is no constant to add or subtract to both sides of the equation
Also, there is no factor to multiply or divide from both sides of the equation
So, we have the following representation
g(7) = (7 + 1)(7 - 5)
Solving further, we have
g(7) = 16
Hence, the solution is 16
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Can anyone write the equation of this graph?
The equation of the graph in the figure is f(x) = |x - 3| + 5
How to find the equation of the graph line?Given that the graph is an absolute value graph
We start by calculating the vertex of the graph
In this case, the graph has it minimum point located at the coordinate (3, 5)
This coordinate can then be interpreted as
(h, k) = (3, 5)
As a general rule, the general representation of the equation of an absolute value function is f(x) = |x - h| + k
Substitute the known values in the above equation
So, we have the following equation
f(x) = |x - 3| + 5
Hence, the equation of the graph is f(x) = |x - 3| + 5
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As the sample size increases, the standard deviation of the sampling distribution.
False, As the sample size is increased, the standard deviation of a sampling distribution of the sample's mean drops.
The term "standard error" also refers to the sample mean's standard deviation. The high dimensionality theorem establishes that as sample size increases, the sample mean's sampling distribution becomes more or less normal.
Using the formula below, the sample mean's standard deviation is determined.
σ ÷ √n
where n is the sample size and would be the population standard deviation.
As the denominator, or n, increases, the standard variance of the sample average would also decrease, as shown by the aforementioned calculation.
It follows that the standard deviation of a sample's average decreases as the sample size grows.
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Determine which integer will make the inequality 5x + 6 ≤ 2x + 15 false.
S:{−2}
S:{5}
S:{2}
S:{−5}
Answer:
the correct she answer should be 5
Step-by-step explanation:
31 <= 25 is falseThe solution set for the given inequality is {.......-4, -3, -2, -1, 0, 1, 2, 3}, so the for x=5 the inequality is false. Therefore, the correct answer is option B.
The given inequality is 5x+6≤2x+15.
Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary 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.
Here, the inequality can be solved as follows
5x+6≤2x+15
Subtract 6 on both the sides of the inequality, we get
5x+6-6≤2x+15-6
5x≤2x+9
Subtract 2x on both the sides of the inequality, we get
5x-2x≤2x+9-2x
3x≤9
Divide 3 on both the sides of the inequality, we get
x≤3
Here, solution set is {.......-4, -3, -2, -1, 0, 1, 2, 3}
So, the for x=5 the inequality is false.
Therefore, the correct answer is option B.
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8 The table shows number of bottles of water four
students drank. One bottle holds 335 milliliters. How
many more fluid ounces did Michael drink than
Lydia? (Hint: 1 fl oz ≈ 30 mL)
Kyle = 5 Bottles of Water
Lisa = 4 Bottles of Water
Lydia = 3 Bottles of Water
Michael = 6 Bottles of Water
Michael drinks 33.5 fl oz more fluid ounces than Lydia.
Given in question,
30 ml = 1 fl oz
1 ml = 1/30 fl oz
1 bottle = 335 milliliters
No. of bottles of water Michael drank = 6
= 6 * 335 milliliters
= 2010 milliliters
= 2010/30 fl oz
= 67 fl oz
No. of bottles of water Lydia drank = 3
= 3 * 335 milliliters
= 1005 milliliters
= 1005/30 fl oz
= 33.5 fl oz
Therefore, 67 - 33.5 = 33.5
Hence, Michael drinks 33.5 fl oz more fluid ounces than Lydia.
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Marcus and jeremy both evaluated the expression −52 3. marcus said the answer was −22. jeremy said the answer was 28. who is correct? explain the error in the other student’s work.
Marcus is accurate. Jeremy is wrong because he overlooked the negative sign in the equation's initial addend. Since -25 has a greater absolute value than 3, it is obvious that the sum should be negative.
Marcus is correct; the solution is -22.
The simplified expression is given as:
= -(5²)+ 3
= -(25) + 3
= - 22
The right response is this. Marcus saw the bracket or parentheses symbol when he condensed his sentence. This has major significance.
Jeremy scored 28. He squared -5 without noting that it was in a bracket or parenthesis, therefore his response is incorrect.
Consequently, Jeremy calculated this.
= -(5²) + 3
= 25 + 3
= 28
Jeremy gave a false response. He made a computation but failed to see the bracket.
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Complete Question
Marcus and Jeremy both evaluated the expression −(5²) + 3. Marcus said the answer was −22. Jeremy said the answer was 28. Who is correct? Explain the error in the other student’s work.
what value of x makes 1/2 (3x+ 4) = 1/2 x true
The value of x which makes the given expression 1/2(3x+4) = 1/2x true is -2
We have to simplify the given expression to find the value of x
1/2(3x + 4) = 1/2x
Cancel 1/2 from both sides
⇒ 3x + 4 = x
⇒ 2x = -4
⇒ x = -2
Hence, the value of x is -2 which makes the given expression true.
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What is the inverse of
f(x) = (2x + 1)² for
x ≥ − 1/2?
Answer: [tex]f^{-1}(x)=\frac{\sqrt{x}-1}{2}[/tex]
Step-by-step explanation:
Let [tex]f(y)=x[/tex].
[tex]x=(2y+1)^2\\\\\pm \sqrt{x}=2y+1\\\\-1 \pm \sqrt{x}=2y\\\\y=-\frac{1}{2} \pm \frac{\sqrt{x}}{2}[/tex]
Since the domain of the original function is the same as the range of the inverse, the rate of [tex]f^{-1}(x)[/tex] is [tex]f^{-1}(x) \geq -1/2[/tex]. This means we consider the positive case.
[tex]\therefore f^{-1}(x)=\frac{\sqrt{x}-1}{2}[/tex]
will a numbers prime factorization always be the smae, regardless of which factor pair you start with? Explain.
what is the smallest positive integer $n$ such that the rightmost three digits of $n!$ and $(n 1)!$ are the same?
The smallest positive integer n will be 10 .
To find : the smallest positive integer n such that the rightmost digits of n ! and ( n + 1 ) ! are same .
Since ,
putting n = 10 gives
n ! = 10 ! = 3628800
and ( n + 1 ) ! = 39916800
Last three digits ( rightmost digits ) ie. 800 are same .
Hence , n = 10 is the required answer ,
Therefore , the smallest positive integer is n = 10 such that the rightmost digits of n ! and ( n + 1 ) ! are same .
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ana is making treat bags to give to her 10 students. she puts x number of gum and 4 pieces of candy in each bag. after she was done she had used a total of 60 pieces. how many pieces of candy did each bag get?
Each bag got 2 pieces of gums and 4 pieces of candies.
Given, that
Ana is making treat bags to give to her 10 students.
She puts x number of gum and 4 pieces of candy in each bag.
She had used a total of 60 pieces.
Now, as she puts 4 pieces of candy in each bag and she prepare total 10 bags.
So, She used total 4×10 = 40 candies
Now, if she used 60 pieces out of which 40 pieces are of candies
Then, 60 - 40 = 20 pieces
20 pieces will be of gums.
So, she puts total 20 pieces of gums in 10 bags
Hence, in each bag she puts 20/10 pieces of gums i.e. 2 pieces of gums
So, each bag got 2 pieces of gums 4 pieces of candies.
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Graph this function:
y = |x − 3| + 1
Click to plot the vertex first.
Given function:
y = |x − 3| + 1
Table:
x y
1 3
2 2
3 1
4 2
5 3
Here the vertex is (3,1).
Graph is in the image uploaded.
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A rectangle plot of land has a width of 3x+5 feet, and a length of 2x-1 feet.
A- express the area of the plot as a function of x.
B- express the perimeter of the plot as a function of x
A- the area of the plot as a function of x. is 6 x^2 +10x-5
B- the perimeter of the plot as a function of x is 10x+8
A rectangle plot of land has a width of 3x+5 feet,
and a length of 2x-1 feet.
A) the area of the plot as a function of x is given by
A= length * width
= ( 2x-1) * ( 3x+5)
=6 x^2 +10x-5
B) the perimeter of the plot as a function of x
P = 2( l+ W)
= 2 (( 2x-1) +( 3x+5))
= 2( 5x +4)
= 10x +8
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please help. ill give brainliest
Answer:
X=30
Step-by-step explanation:
[tex](4x + 30) + (2x - 30) = 180 \\ 4x + 2x + 30 - 30 = 180 \\ 6x = 180 \\ x = 30[/tex]
Answer:
x = 30
Step-by-step explanation:
We are told that:
• m∠A = (4x + 30)°
• m∠B = (2x - 30)°,
and that these two angles are supplementary to each other.
When two angles are supplementary to each other, it means that they add up to 180°.
Therefore:
∠A + ∠B = 180°
⇒ (4x + 30)° + (2x - 30)° = 180°
⇒ 4x + 30 + 2x - 30 = 180
⇒ 4x + 2x + 30 - 30 = 180 [Combining like terms]
⇒ 6x = 180
⇒ [tex]\frac{6}{6}x = \frac{180}{6}[/tex] [Dividing both sides of the equation by 6]
⇒ x = 30
70% of the light aircraft that disappear while in flight in a certain country are subsequently found. of the aircraft that are found, 60\`% have an emergency locator, whereas only 10\% of the aircraft not found have such a locator. suppose a light aircraft has disappeared. if the aircraft has an emergency locator, what is the probability that it will not be found? round your answer to three decimal places.
P(The aircraft is discoverd and has no locator) = P(discovered) x P(no locator/discoved =0.28)
Acc to our question-The information is based on the disappearance of the of the light aircraft in the flight in the in a certain country . 70% of the aircraft that disapear while in the flight were discovered . The probability that there is an emergency locator
in the aircraft given that it is discovered is 60% and the probability that the aircraft that has not discovered have an emergenncy locator is 90%.
a) To determine probiblity it wount be discoverd
Calculation
P(the aircraft is discovered and has a locator) = P(discovered) X P(locator/discovered)
= 0.7 x 0.6 = 0.42The probability of the flight discovered and has locator is obatained as given below:
P(The aircraft is discoverd and has no locator) = P(discovered) x P(no locator/discovered)
= 0.7 x 0.4 =0.28The probability of the flight not discovered and has a locator is obatained below.
P(The aircraft is not discovered and has a locator) = P(not discovered) x P (locator | not discorverd) = 1-0
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Lines t and u are parallel and intersected by transversal s.
Which statement is true?
Answer:
1) ∠5 and ∠6 are supplementary angles not vertical angles this statement is false.
2) ∠2 and ∠7 are alternally interior angles yeah that statement is true.
3) ∠2 and ∠4 are supplementary angles no they are not complementary, because sum of those two angles i.e. ∠2+∠4 =180.
so this statement is false
Step-by-step explanation:
Step-by-step explanation:
here ∠2+∠5=180°; ∠1+∠6=180; ∠4+∠7=180°; and for ∠3+∠7=180°;
here ∠6+∠8=180°; ∠1+∠3=180°; ∠2+∠4=180°; ∠5+∠7=180; here the
∠1=∠4; ∠2=∠3; ∠5=∠8; ∠6=∠7 (opposite angles are equal)
What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (−4, −3)? y 3 = −4(x 4) y 3 = â€"one-fourth(x 4) y 3 = one-fourth(x 4) y 3 = 4(x 4)
The equation of the straight line, in point-slope form, is
[tex]y +3 = \frac{1}{4} ( x + 4)[/tex]
we have , the required line is perpendicular to the given line.
Also let us take any two coordinates of the given line , like (-1 , 1 ) and
( 0 , -3) . So the slope (m₁) of given line = [tex]\frac{y2 -y1}{x2 - x1 }[/tex]
m₁ = -4
as the required line is perpendicular to the given line so , we know
for two perpendicular lines
m₁ m₂ = -1
therefore , m₂ = 1/4
Now the required line passes through (-4,-3)
and the equation of straight line in point slope form is given by
[tex](y_{} - y_{1}) = m (x - x_{1} )[/tex]
here m = 1/4
y₁ = -3
x₁ = -4
therefore the required equation in point-slope form is
y + 3 = 1/4 ( x +4 )
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help me please please please triangle 111111
Answer:
144 cm²
Step-by-step explanation:
1.) Find the area of all of the faces
10*4=40 (Top Face)
4*8=32 (Bottom Face)
6*8*0.5=24 (One Triangle)
6*8*.5=24 (Other Triangle)
6*4=24 (Back Face)
2.) Add them all together to get the surface area
40+32+24+24+24= 144
***Don't forget the cm². Some teachers are really annoying about this
What is the value sine?
5/12
5/13
12/13
13/5
Answer:
(C.) 5/13
Step-by-step explanation:
The sine proportion is opposite / hypotenuse
Given the reference angle, the side measuring 5 units is the opposite side and the side measuring 13 units (and opposite of the right angle) is the hypotenuse
Thus, sine is 5/13
Determine the values of A, B, and C when y – 7=3(x+4) is written in standard form, Ax+By=C.
Answer:
A=-3,b=1,C=19
Step-by-step explanation:
y-7=3(x+4)
we will just simplify the bracket like this
y-7=3x+12
y=3x+12+7
y=3x+19
y-3x=19
A=-3,b=1,C=19
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a license plate consists of 2 letters followed by 4 digits. how many license plates are possible if the 1st digit cannot be 0, and letters and digits may repeat? a) 4,100,625 b) 6,760,000 c) 4,435,236 d) 5,625,000 e) 6,084,000 f) none of the above.
The possible number of license plates is 6084000 .
We have to make a 6 word license plate in which first two are letters and remaining four are digits.
conditions are :
1. letters and digits can repeat themselves
2. 1st digit can't be 0.
taking into account these conditions
we know total letters are 26 and total digits are 10 ( 0,1,2,3,4,5,6,7,8,9)
Now if we divide number plate in 6 columns where first two are filler by letters and rest four by digits so
1st column can be filled in ways = 26
2nd column can be filled in ways = 26
3rd column can be filled in ways = 9 ( as zero is not allowed )
4th column can be filled in ways = 10
5th column can be filled in ways = 10
6th column can be filled in ways = 10
therefore, total number of ways = 26x26x9x10x10x10
= 6084000 ways
The possible number of license plates is 6084000 .
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A group of 4 people go to a restaurant and the bill without tax comes to $105.73. Tax is 6%. Remember to round to the nearest hundredth because this is money. After tax is added, you want to leave a 20% tip on the new total. The group of 4 people decides to split the total cost equally. How much will each person pay?
i need the answer fasttttt
Each person need to pay $ 80.88345.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Bill without tax = 105.73
Tax = 6%
So, bill amount after tax = 105. 73 + 105. 73 x 6/100
= 105.73 + 6.3438
= $112.0738
Addition of 20% tip = 112.0738 + 211.46 = $323.5338.
If the amount is divided among 4 people, each will pay
= 323.5338/4
= $ 80.88345
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Describe in words where cube root of 24 would be plotted on a number line.
100 points and brainliest
Answer: the square root of twenty-four would be plotted (A) between 4 and 5, but closer to 5 on a number line.
Step-by-step explanation: