Ms. Fraser’s total monthly cell phone bill this month was
$56.70. Her phone company charges $45.60 for unlimited
minutes and $0.10 for every text message sent.
Answer:
She sent 111 texts that month
Step-by-step explanation:
Select the correct answer.
What is the equation of the line that has a slope of 3 and goes through the point (-3,-5)?
A. y = 3x + 4
B. y = 3x − 14
C. y = 3x − 4
D. y = 3x + 12
(It is not y = 3x - 4 OR C)
what is the answer to this
-1 39/45
that is the answer
Use front-end estimation to place the decimal point in each answer. a) 32.47 6.75 2 5 7 2 b) 118.234 19.287 1 3 7 5 2 1 c) 17.9 0.8 1 7 1
Using front end estimation, the correct decimal solutions to the given problems are;
1) 25.72
2) 137.521
3) 17.1
How to use front end estimation?Front end estimation is defined as one way to round numbers in such a manner that an approximate answer can be easily found.
1) 32.47 - 6.75
First of all, deal with the whole numbers portion to get;
32 - 6 = 26
Next step is to handle the decimal part to get;
0.47 is approximately equal to 0.5 while 0.75 is approximately equal to 0.8. Thus;
0.5 - 0.8 = - 0.3
Therefore, we have;
26 + (-0.3) = 25.70
Therefore, the correct decimal solution can be written as; 25.72
2) 118.234 + 19.287
First of all, deal with the whole numbers portion to get;
118 + 19 = 137
Next step is to handle the decimal part to get;
0.234 is approximately equal to 0.2 while 0.287 is approximately equal to 0.3. Thus;
0.2 + 0.3 =0.5
Therefore, we have;
137 + 0.5 = 137.5
Therefore, the correct decimal solution can be written as; 137.521
C) 17.9 - 0.8
First of all, deal with the whole numbers portion to get;
17 - 0 = 17
Next step is to handle the decimal part to get;
0.9 - 0.8 = 0.1
Therefore, we have;
17 + 0.1 = 17.1
Therefore, the correct decimal solution can be written as; 17.1
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what is 1 divided by [tex]\frac{1}{2}[/tex]?
A rock is dropped from a height of 100 feet. Calculate the time between when the rock was dropped and when it landed. If we choose “down” as positive and ignore air friction, the function is h(t)=25t^2-81
The time between when the rock was dropped and when it landed is 2.7 seconds.
What is function?
A function is a procedure or a relation that links each element of a non-empty set A, at least one element of another non-empty set B, to another element of the first non-empty set A. In mathematics, a function is defined as a relation f between a set A (the function's domain) and a set B (its co-domain). For any a A and b B, f = (a,b)| .Every element of set A must have exactly one image in set B for a relation to be considered a function. A relation from a non-empty set B is called a function if it has the property that no two separate ordered pairs in f have the same first element.
Here the given height h(t) = 100 feet
Now the given function is,
=> h(t)=25[tex]t^2[/tex]-81 .
Put h(t)=100 then ,
=> 100= 25[tex]t^2[/tex]-81 .
=> 100+81=25[tex]t^2[/tex]
=>[tex]t^2[/tex]= 181/25
=> t = 2.69=2.7 sec.
Hence the time between when the rock was dropped and when it landed is 2.7 seconds.
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Is it possible that creating a Boxplot could show outliers but z-scores show no outlier?
No, Is it not possible that creating a Boxplot could show outliers but z-scores show no outlier. This is because Any z-score that is either higher than +3 or lower than -3 is viewed as an issue.
When there isn't an anomaly, what does that mean?When you declare a data point to be an outlier and reject it, you are indicating that even if you have already observed the point, it is unlikely to happen again.
Z scores make it easier to determine whether a data value is larger or less than the mean and how far from the mean it is. The Z score precisely indicates the number of standard deviations a data point deviates from the mean.
So, Outliers can be highlighted using scatterplots, histograms, and boxplots. Asterisks or other symbols are displayed on the graph in boxplots to plainly show the presence of outliers in a dataset.
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Please help me, please
Answer:
m∠1 = 88°
m∠2 = 42°
m∠3 = 113°
Step-by-step explanation:
All of the angles in a triangle add up to 180°. This knowledge can be used to find angle 3, which I will rename c to make writing an equation easier.
[tex]180=25+42+c\\180=67+c\\113=c[/tex]
Angle 3 is 113°
Two angles on either side of the intersection of two straight lines are equal, therefore angle 2, or b:
[tex]b=42[/tex]
Angle 2 is 42°
Now that two angles are known in the leftmost triangle, we can solve for the last one: Angle 1, or a:
[tex]180=50+42+a\\180=92+a\\88=a[/tex]
Angle 1 is 88°
f(x)=0.145x^2
The function above models f, the kinetic energy, in joules, of a baseball traveling at a speed of x meters per second. Based on the function, what is the kinetic energy, in joules, of a baseball traveling at a speed of 40meters per second?
A) 5.8
B) 58
C) 232
D) 2,320
Answer: A) 5.8
Step-by-step explanation: Hard guess
Austin is blocking off several rooms in a hotel for guests coming to his wedding. The hotel can reserve small rooms that can hold 2 people, and large rooms that can hold 3 people. Austin booked a total of 22 rooms which can accommodate 53 guests altogether. Determine the number of small rooms reserved and the number of large rooms reserved.
Answer:
There are 13 small rooms and 9 large rooms reserved.
Step-by-step explanation:
First, we can make a system of equations. We can use s to represent the number of small rooms and l to represent the number of large rooms.
2 guests per small room added to 3 guests per large room equals 53 guests total, so 2s + 3l = 53.
The number of small rooms (s) plus the number of large rooms (l) equals the total number of rooms, so s + l = 22 or s = 22 - l.
We can substitute the first second equation into the first equation.
2 (22 - l) + 3l = 53
44 - 2l + 3l = 53
l = 9
So, the number of large rooms is 9. Then, to find the number of small rooms, we can substitute l into the second equation.
s = 22 - 9
s = 13
So, the number of small rooms is 13.
need help for this question dhsjwiqibdbsns
Answer:
130°
Step-by-step explanation:
Triangle JKL is an isosceles triangle and leg angles are equal :
m<J = m<L
The sum of interior angles in a triangle is equal to 180.
m<J + m<L + m<K = 180
25 + 25 + m<K = 180
50 + m<K = 180 subtract 50 from both sides
m<K = 130°
what is 0.675 as a percent
Answer:
67.5
Step-by-step explanation:
Answer:67.5
Step-by-step explanation:0.675*100=67.5
At the penalty apr rate of 28. 99% and a balance of about $1800, approximately how much interest would you owe in one month?.
The interest rate for one month is 2.42% and the interest amount is $40 approximately.
Given,
The penalty APR rate = 28.99%
Balance amount = $1800
We have to find the interest for one month;
Here,
The APR of 28.99% is the yearly interest. To find the monthly rate:
= Rate / 12 months
= 28.99% / 12
= 2.42%
The amount owed is therefore;
= 1,800 x 2.42%
= $43.56
= $40.00 approximately
That is,
The interest rate for one month is 2.42% and the interest amount is $40 approximately.
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a manager of a clothing store always orders 2 small T-shirts and 3 large t-shirts for every 4 medium T-shirts.The manager plans to order 24 medium T-shirts. How many small T-shirts and large T-shirts should the manager order? show your work.
Answer: 12 small t-shirts and 18 large t-shirts
Step-by-step explanation:
24÷4=6
2×6=12 small t-shirts
3×6=18 large t-shirts
In order to combine exponents with the multiplication or division properties, the terms must have the same?
Answer:
To multiply terms containing exponents, the terms must have the same base and/or the same power. To multiply terms with the same base, keep the same base and add the powers together. To multiply terms with different bases but the same power, raise the product of the bases to the power.
Step-by-step explanation:
Alyssa works 6.4-hour shifts at the donut shop each day. Last week she earned $480 for working 32 hours. Describe the unit rate in this problem.
The unit rate for this problem is how much Alyssa earns per hour
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, Alyssa works 6.4-hour shifts at the donut shop each day.
Last week she earned $480 for working 32 hours.
Now, To determine her earnings per hour we have to divide her total earnings by the total no. of hours she worked which is,
= $(480/32).
= $15 per hour.
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3 tons of topsoil cost 2,520.00. What is the price per pound?
Answer:
$0.42
Step-by-step explanation:
3ton=6000pounds
2,520/6000=$0.42
ANSWER ASAP 8TH GRADE MATH EASY
Answer:
It is the first option
Step-by-step explanation:
Assume that louisa carried an average balance of $1,000 from her credit card purchases over the past year. The a. P. R. On her credit card for the past year was 19. 99%. Approximately how much interest would louisa have paid over the course of the year?.
It would have cost Louisa $200 in interest charges.
The simple interest amount is calculated as follows;
SI = P*I*t
That is where we have
The balance is P.
The interest rate is I.
The time is t.
Regarding this issue;
Balance of $1,000, 19.99% APR, and 1 year.
She will pay the following sum;
SI = 1000 *0.199*1
SI = 199.9
SI ≅ 200
Louisa would have had to pay $200 in interest fees.
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Hallar centro, radio y longitud de los siguientes intervalos
a) [3, 8]
b) [-5,2]
c) [0, 12]
d) [-9,0]
A continuación, se resume el centro, el radio y la longitud de cada intervalo:
Caso A: Centro: 5.5, Radio: 2.5, Longitud: 5
Caso B: Centro: - 1.5, Radio: 3.5, Longitud: 7
Caso C: Centro: 6, Radio: 6, Longitud: 12
Caso D: Centro: - 4.5, Radio: 4.5, Longitud: 9
¿Cómo hallar el centro, el radio y la longitud de un intervalo?
En este problema tenemos cuatro casos de intervalos de números reales sobre una recta numérica. Los números reales representan un conjunto continuo, no discreto, lo cual significa que existe un número infinito de puntos dentro de la distribución lineal.
El centro es igual al punto medio del intervalo, el radio es la distancia entre el punto medio y cualesquiera de los extremos y la longitud es el doble del radio del intervalo.
Centro:
C = 0.5 · (m + M)
Radio
R = C - m
Longitud
L = 2 · R
Donde:
m - Límite inferior del intervalo.M - Límite superior del intervalo.A continuación, determinamos el centro, el radio y la longitud de cada intervalo:
Caso A
C = 0.5 · (3 + 8) = 0.5 · 11 = 5.5
R = 5.5 - 3 = 2.5
L = 2 · 2.5 = 5
Caso B
C = 0.5 · [(- 5) + 2] = 0.5 · (- 3) = - 1.5
R = - 1.5 - (- 5) = - 1.5 + 5 = 3.5
L = 2 · 3.5 = 7
Caso C
C = 0.5 · (0 + 12) = 6
R = 6 - 0 = 6
L = 2 · 6 = 12
Caso D
C = 0.5 · [(- 9) + 0] = - 4.5
R = - 4.5 - (- 9) = 4.5
L = 2 · 4.5 = 9
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Please help I’m really confused on this. Thanks!
Answer:
[tex]y=\frac{1}{2}x-8[/tex]
Step-by-step explanation:
Perpendicular lines have the same slope. So, the slope of the line we need to find is 1/2.
Thus, the equation is
[tex]y+5=\frac{1}{2}(x-6) \\ \\ y+5=\frac{1}{2}x-3 \\ \\ y=\frac{1}{2}x-8[/tex]
each side of a square is increasing at a rate of 8 cm/s. at what rate (in cm2/s) is the area of the square increasing when the area of the square is 16 cm2? incorrect: your answer is incorrect. cm2/s
The rate of the square increasing when the area is 16 cm² is 64 cm²/s. The result is obtained by using basic derivative rules.
How to count the rate of a square increasing?The rate of a square increasing can be counted by the derivative of the area of the square as a function of time.
dA/dt = 2s ds/dt
Where s is side length.
If each side of a square is increasing at a rate of 8 cm/s, what is the rate of the square increasing when the area is 16 cm²?
We have the side of the square as the function of time.
ds/dt = 8 cm/s
When the area is 16 cm², the side length is
A = s²
16 = s²
s = √16
s = 4 cm
The rate of the square increasing is
dA/dt = 2s ds/dt
dA/dt = 2 × 4 × 8
dA/dt = 64 cm²/s
Hence, the rate of the square increasing when the area is 16 cm² is 64 cm²/s.
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Which is a solution set for |x + 3| = 6?
{-3, 3}
{-9,3}
{-6, 9}
The values of x in the given equation are x = -9 and x = 3. The solution set is [-9, 3]
Solving for the values of x in an equationFrom the question, we are to determine the value of x in the given equation.
The given equation is
|x + 3|= 6
Then, we can write that
x + 3 = 6 and -(x + 3) = 6
Solving the first equation
x + 3 = 6
Subtract 3 from both sides of the equation
x + 3 - 3 = 6 - 3
x = 3
Solving the second equation
-(x + 3) = 6
-x - 3 = 6
Add 3 to both sides of the equation
-x - 3 + 3 = 6 + 3
-x = 9
Multiply both sides of the equation by -1
-1 × -x = -1 × 9
x = -9
Hence, the solutions are x = -9 and x = 3
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I need help please please
a random sample of 1000 people was taken. four hundred fifty of the people in the sample favored candidate a. what is the upper limit for a 95% confidence interval for the true proportion of people who favored candidate a? round your answer to three decimal places.
The 95% confidence interval for the true proportion of people who favored candidate a is 0.419, 0.481
How to calculate confidence interval?
First, calculate sample proportion by divide number people who favored candidate by number of sample. So:
[tex]\pi[/tex] = 450 / 1,000 = 0.45
Then we use the formula for confidence interval
[tex]\pi[/tex] ± [tex]z\sqrt{\frac{\pi (1-\pi )}{n}}[/tex]
In which z is z score that has a p value of [tex]1 - \frac{\alpha }{2}[/tex]
For 95% confidence interval z is the value of Z that has a p value of [tex]1 - \frac{0.05}{2}[/tex] = 0.975, so z = 1.96
After we have [tex]\pi[/tex] value and z value then put it in the formula. So:
= 0.45 ± [tex]1.96\sqrt{\frac{0.45(1-0.45)}{1000} }[/tex]
= 0.45 ± 0.0308
= 0.419, 0.481
Thus, the 95% confidence interval for the true proportion of people who favored candidate a is 0.419, 0.481
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Find x, y and z. ILL GIVE BRAINLIEST
Answer:
x = 30
y = 15
z = 150
Step-by-step explanation:
90°, 2x°, and x and supplementary.
Using this knowledge, we can form the equation:
2x° + 90° + x° = 180°
and solve for x.
3x°+ 90° = 180°
3x° = 90°
x° = 30°
x = 30
x and z are same side interior angles. Therefore, they are supplementary.
Using this knowledge, we can form the equation:
x° + z° = 180°
30° + z° = 180°
z° = 150°
z = 150
z° and 2y° are supplementary.
Using this knowledge, we can form the equation:
z° + 2y° = 180°
150° + 2y° = 180°
2y° = 30°
y° = 15°
y = 15
Answer:
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Describe the relationship between <1 and <5
Angles 1 and 5 constitutes one of the pairs
Step-by-step explanation:
is y=7-3x linear? if it is than why?
Yes y = 7 - 3x is a linear function
What is linear function ?A linear function consists of functions where the variables has exponents of 1.
The graph of linear functions is a straight line graph and the relationship is expressed in the form.
y = mx + c
Definition of variables of a linear function
y = output variable
m = slope
x = input variable
c = y intercept
In comparison to the question asked
y = 7-3x
m = slope = -3
x = input variable
c = 7
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Anna wants to take fitness classes. She compares two gyms to determine which would be the best deal for her. Fit fast charges a set fee per class. Stepping up charges a monthly fee, plus an additional fee per class. What is the system of equations representing these costs? y = 5. 5x and y = 7. 5x + 10 y = 7. 5x and y = 5. 5x y = 7. 5x and y = 5. 5x + 10 y = 7. 5x + 10 and y = 5. 5x + 10.
The system of equations representing these costs is y = 7.5x and y = 5..5x + 10
Given,
Anna desires to enroll in fitness courses. She contrasts two gyms to see which offers the best value. Each class at Fit Fast costs a specified amount. Stepping up costs a monthly fee as well as a price for each lesson.
We have to find the system of equations representing these costs;
Fit Fast: a certain number of feet per class = y = Ax
Stepping Up: a monthly charge plus a cost for each additional class = h = Bx + C
The second and fourth systems can be ignored since they lack the form that is implied by the statement.
Given that it reflects a choice that is always preferable to the alternative, the first system produces an obvious result. There is no need to compare because, for any positive value of x, 5.5x will be less than 7.5x + 10,
The third system is
It is necessary to solve the equations y = 7.5x and y = 5.5x + 10 to decide when one rate is more practical than the other.
That is,
The system of equations representing these costs is y = 7.5x and y = 5..5x + 10
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v - 10 + k³ when v = -2 and k = -3
-2 - 10 + (-3)^3
= -12 - 27
= -39
Answer:
-39
Step-by-step explanation:
Substitute v and k
v - 10 + k³
-2 - 10 -3³
Multiply the 3 and the power of thirds together
-2 -10 + 27
Combine like terms