Answer: $22.50
Step-by-step explanation:
Since the price is 50% off, you need to find half of 45. 45/2 is 22.5, so she saves $22.50
Given the equation y=kx where y=1.2 and x=1.5, what is the value of k?
Answer:
The value of k is 0.8
Step-by-step explanation:
we have
[tex]y=kx[/tex]
This linear equation represent a direct variation
we have
y=1.2, x=1.5
substitute in the equation
[tex]1.2=1.5k[/tex]
solve for k
divided by 1.5 both sides
[tex]k=1.2/1.5=0.8[/tex]
The linear equation is
[tex]y=0.8x[/tex]
How do I solve this?
Answer:
x = -1
y = -1
Step-by-step explanation:
3x - y = -2
2x + y = -3
Multiply equation 1 by 2 and equation 2 by 3
We have
2x3x - 2xy = 2x-2
3x2x + 3xy = -3x3
Equation 1 6x - 2y =-4
Equation 2 6x + 3y = -9
Subtract equation 2 from 1
We have -5y = 5
Divide both sides by -5
y = 5/-5 = -1
Now Substitute y = -1 into any of the equations to get x
Using equation 1 , we have
3x - (-1) = -2
3x +1 = -2
Collect like terms
3x = -2 -1
3x = -3
Divide both sides by 3
x = -3/3 = -1
Answer
First of all, we need to identify the type of equation this is...
Since we are solving two at a go, it means it's a simultaneous equation.
Now, we need to solve them differently.
Taking the first one which says...
3x -y = -2
Then we say
When x is 0, y =?
So in the equation above , we replace x with 0
Meaning- 3x-y = -2
3(0) -y= -2
0 -y= 2
-y =-2
Y =2
Also, when y =0.
3x- 0 =-2
3x=-2
X=-2/3.
Also for the other equation
2x+ y =-3
When x= 0 in the above equation
2(0) + y= -3
0 +y=-3
Y=-3
When y = 0
2x+ 0= -3
2x = -3
X=-3/2
The above is what well plot on the graph.
t
Step-by-step explanation:
Match the measures with the correct type of measurement. a.72m b. 125mm3 c. 50cm2 Volume, Surface Area, Perimeter
a. Perimeter
b. Volume
c.Suface Area
At a convention of science teachers, various attendees are asked to name their favorite subject in high school.
a.
teachers at the convention
c.
favorite subject
b.
teachers surveyed
d.
cannot be determined
what is the process of using a line over the repeating digits of a decimal
Answer:
Step-by-step explanation:
Answer: i'm pretty sure it is called repeating
A=
B=
C=
D=
I don’t get this at all help please
Answer:
A=41
B=20
C=8
D=3
Step-by-step explanation:
You need to first of all fill the intersection (yellow region). This is the number of people who use both.
This means B=20
Region A is those who use F only. So you must subtract the number who use both.
This means that A=61-20=41
Region C is those who use G+ only.
This means C=28-20=8
Now A+B+C+D=72
This implies that:
41+20+8+D=72
69+D=72
D=72-69
D=3
Sally’s game piece was on 58.
She used these cards. To capture a chip:
+2 +30 +2
Where did she land ?
Write equation to show her moves .
Answer:
She lands on 92.
Step-by-step explanation:
92=58+2+30+2
where she lands = 58+34
92 = 58 + 2x + y where x=2 and y=32
Final answer:
Sally started on square 58 and used three cards with values of +2, +30, and +2, respectively. The equation for her moves is 58 + 2 + 30 + 2, which equals 92. Hence, she landed on square 92.
Explanation:
Sally's game piece was initially on square 58. To find out where she landed after using her cards, we can write an equation that adds the values on the cards to her starting position. Sally played three cards with the following values: +2, +30, and +2.
The equation to show Sally's moves is:
Starting position + first card + second card + third card = new position
58 + 2 + 30 + 2 = new position
Now, let's calculate the total:
58 + 2 = 60
60 + 30 = 90
90 + 2 = 92
Therefore, Sally's new position after using all her cards is on square 92.
5. Claire is buying a new bicycle for $295. If the
sales tax is 4.75%, what will she pay in total?
Claire will pay $309.01 for the bike.
h(x) = x^2 - 1
Over which interval does h have a negative average rate of change?
The function h(x) = x^2 - 1 has a negative average rate of change over the interval from x = -∞ to x = 0, which is where the parabola is decreasing toward its vertex at the origin.
Explanation:The student asked over which interval the function h(x) = x^2 - 1 has a negative average rate of change. The average rate of change is negative when the function is decreasing. In the case of h(x) = x^2 - 1, which is a parabola opening upwards, the function decreases as x moves from the left to the right towards the vertex. Therefore, the interval in which the function has a negative average rate of change is from x = -∞ to x = 0, because this is where the function values are falling. To find the average rate of change between two points x1 and x2, we can use the formula: (h(x2) - h(x1)) / (x2 - x1). If x1 is to the left of the y-axis (x1 < 0) and x2 is the y-axis (x2 = 0), we will get a negative result since h(x2) < h(x1) in that interval, showing a negative average rate of change.
The function h(x) = x^2 - 1 has a negative average rate of change over the interval − 3 ≤ x ≤ 1. This interval includes the vertex of the parabola at x = 0, where the function is decreasing, resulting in a negative rate of change.
The function h(x) = x2 - 1 has different average rates of change depending on the interval we are considering. To find an interval where the average rate of change is negative, we need to look at intervals where the function is decreasing. The function h(x) will be decreasing on any interval that includes the value x = 0 since this is where the vertex of the parabola represented by h(x) is located, and it is a parabola opening upwards.
Analyze intervals around x = 0 to find where the function decreases. Looking at Choice C (−3 ≤ x ≤ 1), we can calculate the average rate of change as:
[(h(1) - h(-3)) / (1 - (-3))] = [(12 - 1) - ((-3)2 - 1)] / (4) = [0 - (9 - 1)] / 4 = -8 / 4 = -2Since the average rate of change is negative (-2), Option C is the interval over which h(x) has a negative average rate of change.
the complete Question is given below:
h(x)=x 2 −1h, left parenthesis, x, right parenthesis, equals, x, squared, minus, 1 Over which interval does h hh have a negative average rate of change? Choose 1 answer: Choose 1 answer: (Choice A) A − 3 ≤ x ≤ 5 −3≤x≤5minus, 3, is less than or equal to, x, is less than or equal to, 5 (Choice B) B 1 ≤ x ≤ 4 1≤x≤41, is less than or equal to, x, is less than or equal to, 4 (Choice C) C − 3 ≤ x ≤ 1 −3≤x≤1minus, 3, is less than or equal to, x, is less than or equal to, 1 (Choice D) D − 1 ≤ x ≤ 5 −1≤x≤5minus, 1, is less than or equal to, x, is less than or equal to, 5 Show Calculator
351 rounded to the nearest 10
Answer:
350 is your answer
Step-by-step explanation:
anything lower than five you wouldn't round up you'd round down so basically the 1 is pointless
Rounding 351 to the nearest 10 gives us 350, as per the rule of place value while rounding.
When rounding a number to the nearest 10, we consider the digit in the tens place. If the digit in the unit's place is 5 or greater, we round up; otherwise, we round down.
In the case of 351, the digit in the tens place is 5, and the digit in the units place is 1. Since the digit in the unit's place is less than 5, we round down. Therefore, when rounding 351 to the nearest 10, we get 350.
Rounding 351 to the nearest 10 essentially means approximating it to the nearest multiple of 10. In this case, 351 is closer to 350 than to 360, which is the next multiple of 10.
So, rounding 351 to the nearest 10 gives us 350.
To learn more about the place value;
https://brainly.com/question/27734142
#SPJ6
How does knowing x=52 help you find the value of your?
Answer:2
Step-by-step explanation:
The amount of fuel used by jumbo jets to take off is normally distributed with a mean of 4000 gallons and a standard deviation of 125 gallons. What is the probability that the mean number of gallons of fuel needed to take off for a randomly selected sample of 40 jumbo jets will be less than 3950 gallons?
Answer:
0.6554 is the probability that the mean number of gallons of fuel needed to take off for a randomly selected sample of 40 jumbo jets will be less than 3950 gallons.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 4000 gallons
Standard Deviation, σ = 125 gallons
Sample size, n = 40
We are given that the distribution of amount of fuel is a bell shaped distribution that is a normal distribution.
Formula:
[tex]z_{score} = \displaystyle\frac{x-\mu}{\sigma}[/tex]
Central limit theorem:
As the sample size increases, the distribution of sample mean has a similar popular distribution shape.
P(sample of 40 jumbo jets will be less than 3950 gallons)
P(x < 3950)
[tex]P( x < 3950) = P( z < \displaystyle\frac{3950 - 4000}{125}) = P(z < -0.4)[/tex]
Calculation the value from standard normal z table, we have,
[tex]P(x < 3950) = 0.6554 = 65.54\%[/tex]
0.6554 is the probability that the mean number of gallons of fuel needed to take off for a randomly selected sample of 40 jumbo jets will be less than 3950 gallons.
The probability that the number of gallons of fuel needed to take off for a randomly selected sample of 40 jumbo jets will be less than 3950 gallons is 0.66.
it is given that
Mean μ= 4000 gallons
Standard deviation σ = 125 gallons
Number of trials x = 3950 gallons
What is the formula for a z-score?Z-score = (x-μ)/σ
Z-score = (3950-4000)/125
Z-score = -0.4
So probbaility P(x<3950) = P(z<-0.4)
From the standard normal table,
P(x<3950) = 0.66
Therefore, the probability that the number of gallons of fuel needed to take off for a randomly selected sample of 40 jumbo jets will be less than 3950 gallons is 0.66.
To get more about normal distribution visit:
https://brainly.com/question/4079902
What is 4 raised to the power of 2 ÷ 2 raised to the power of 3
A colony of 21,300 bacteria doubles in size every 260 hours. What will the population be 520
hours from now?
Answer:
85,200
Step-by-step explanation:
21,300*2=42,600
42,600*2 = 85,200
The mean and the standard deviation of a normal
population are called
. The mean
and the standard deviation of a random sample
from a population are called
95%
DONE
Answer:
(B) Parameters
(A) Statistics
Step-by-step explanation:
edg 2020
The mean and the standard deviation of a normal population are called parameters, and of a random sample from a population are called statistic
Normally distributed data In a normal distribution, data is symmetrically distributed with no skewNormally distributed data is the distribution of probability which is symmetric about the mean.Normal distributions are symmetric, unimodal, and asymptotic, and the mean, median, and mode are all equalHow to solve this problem?The steps are as follow:
The mean of the data is the average value of the given data. The standard deviation of the data is the half of the difference of the highest value and mean of the data set.Those numbers who summarize information about sample are called statistic.The numbers which summarize information about population are called parameters.The numbers which summarize information about the sample are called statistic.Therefore, the mean and the standard deviation of a normal population are called parameters, and of a random sample from a population are called statistic
Learn more about Normally distributed data here:
https://brainly.com/question/1407349
#SPJ2
IS 8.8 GREATER THAN 8.01
Answer:
Yes, it is.
Step-by-step explanation:
The second 8 in 8.8 is greater than the 0 in 8.01.
The surface area of a cylinder is given by the formula SA = 2r2 + 2rh. A cylinder has a radius of 10 cm and a surface area of 1,220 cm2. What is the height
Final answer:
To find the height of a cylinder with a known radius and surface area, subtract the area of the bases from the total surface area to get the lateral surface area, and then solve for the height. Using the surface area formula SA = 2πr² + 2πrh, the height is computed to be approximately 9.4 cm.
Explanation:
To calculate the height of a cylinder when you know its surface area and radius, you use the surface area formula for a cylinder, SA = 2πr² + 2πrh, where SA is the surface area, r is the radius, and h is the height of the cylinder. Given that the surface area (SA) is 1,220 cm² and the radius (r) is 10 cm, the formula can be rearranged to solve for h (height). The first step is to calculate the area of the circular bases, which is 2πr², then subtract this value from the total surface area to get the lateral surface area (2πrh), and finally divide by (2πr) to solve for h.
First, calculate the area of the circular bases:
Area of one base = πr² = 3.14159 × 10² cm² = 314.159 cm²
Total area of both bases = 2 × 314.159 cm² = 628.318 cm²
Subtract this from the total surface area to find the lateral surface area:
Lateral surface area = SA - area of bases = 1,220 cm² - 628.318 cm² = 591.682 cm²
Finally, solve for the height:
2πrh = 591.682 cm²
h = 591.682 cm² / (2 × 3.14159 × 10 cm)
h ≈ 9.4 cm
Thus, the height of the cylinder is approximately 9.4 cm.
The height is approximately 9.42 cm.
To find the height of a cylinder when given the radius and the surface area, use the formula for the surface area of a cylinder: [tex]SA = 2\pi r^2+2\pi rh[/tex]. Here, we know the surface area (SA) is 1220 [tex]cm^2[/tex], and the radius (r) is 10 cm.
First, let's write down the formula with the given values:
[tex]1220 = 2\pi (10)^2 + 2\pi (10)h[/tex]
We can simplify the equation step by step:
Calculate [tex]2\pi (10)^2: 2\pi (10)^2=2\pi (100)=200\pi[/tex]Substitute this into the equation: [tex]1220 = 200\pi + 20\pi h[/tex]To isolate 20πh, subtract 200π from both sides: [tex]1220-200\pi =20\pi h[/tex]Approximate the value of [tex]\pi[/tex] (3.142): [tex]200\pi \approx 628.4[/tex]Subtract this value: 1220 - 628.4 [tex]\approx[/tex] 591.6Now, isolate h by dividing both sides by [tex]20\pi : h = \frac{591.6}{20*3.142}\approx9.42[/tex]Therefore, the height of the cylinder is approximately 9.42 cm.
What is the equation for the line of reflection? On a coordinate plane, triangle A B C has points (6, 3.7), (5.4, 2), (1, 3). Triangle A prime B prime C prime has points (3.7, 6), (2, 5.4), (3, 1). x = 3 y = 3 y = x x = 6
Answer:
The answer is y = x
The equation for the line of reflection can be found by using the midpoint formula and the slope formula. The equation for the line of reflection for the given points (6, 3.7) and (3.7, 6) is y = -x + 9.7.
Explanation:The equation for the line of reflection can be found by using the midpoint formula and the slope formula. The midpoint of each corresponding pair of points can be calculated to find the coordinates of the image points. Then, the slope of the original line and the slope of the reflected line can be calculated. Using the midpoint and slope, the equation of the line of reflection can be determined.
For example, to find the equation for the line of reflection for points (6, 3.7) and (3.7, 6), we can calculate the midpoint: ( (6 + 3.7) / 2, (3.7 + 6) / 2 ) = (4.85, 4.85).
Next, we can calculate the slope of the original line using the points (6, 3.7) and (5.4, 2) using the slope formula: (2 - 3.7) / (5.4 - 6) = -1.7 / -0.6 = 2.83.
Finally, we can calculate the slope of the reflected line using the points (4.85, 4.85) and (3.7, 6) using the slope formula: (6 - 4.85) / (3.7 - 4.85) = 1.15 / -1.15 = -1.
So, the equation for the line of reflection is y = -x + b. To find b, we can use the point (4.85, 4.85). Substituting the values into the equation, we get 4.85 = -(4.85) + b, which simplifies to b = 9.7.
Therefore, the equation for the line of reflection is y = -x + 9.7.
20 pts look at pic n answer
1. [tex]\frac{x^3}{x^8}=x^{-5}[/tex]
2. [tex]\frac{6x}{2x^8} = 3x^{-7}[/tex]
3. [tex]\frac{28x^6}{21x^2} = \frac{4}{3}x^4[/tex]
Step-by-step explanation:
1. x^3/x^8
Given fraction is:
[tex]\frac{x^3}{x^8}[/tex]
When the bases are same in both numerator and denominator then the exponents can be added
i.e.
[tex]\frac{x^a}{x^b} = x^{a-b}[/tex]
So,
[tex]\frac{x^3}{x^8} = x^{3-8} = x^{-5}[/tex]
Part b:
[tex]\frac{6x}{2x^8}\\= \frac{3.2.x}{2.x^8}\\=\frac{3x}{x^8}\\=3x{1-8}\\=3x^{-7}[/tex]
Part c:
Given
[tex]\frac{28x^6}{21x^2}\\= \frac{7.4.x^6}{7.3.x^2}\\=\frac{4}{3} x^{6-2}\\=\frac{4}{3}x^4[/tex]
Keywords: Fractions, exponents
Learn more about fractions at:
brainly.com/question/5282516brainly.com/question/5424148#LearnwithBrainly
The measure of one acute angle in this right triangle is 45°.
What is the measure of the other acute angle?
Answer:
45°
Step-by-step explanation:
90-45=45°
To start a mobile dog-grooming service, a woman borrowed $3500. If the loan was for 2 years and the amount of interest was $224, what simple interest rate was she charged?
Answer:3.2%
Step-by-step explanation:
If there are 45 guests at the party, predict how many would choose a gift card?
Answer:
Since there is a 50-50 chance of a person at the party choosing a gift card, and since there can only be 1 of 2 outcomes, we can assume that there will either be more people choosing a gift card than not, or there will be more people not choosing a gift card than are. So, that means that there would be 23 people (more or less) choosing a gift card and 22 people (more or less) not choosing a gift card or vice-versa.
Suppose your friend's parents invest $15,000 in an account paying 6% compounded annually. What will the balance be after 9 years? round to nearest cent
Using the formula for compound interest, the balance of a $15,000 investment at a 6% interest rate compounded annually after 9 years is approximately $25,342.19.
Explanation:To calculate the balance of an investment of $15,000 at 6% interest compounded annually after 9 years, we can use the formula for compound interest, which is:
A = P(1 + r/n)^(nt)
Where:
A is the amount of money accumulated after n years, including interest.P is the principal amount (the initial amount of money).r is the annual interest rate (decimal).n is the number of times that interest is compounded per year.t is the time the money is invested for in years.In this case:
P = $15,000r = 6% or 0.06n = 1 (since it's compounded annually)t = 9 yearsPlugging these values into the formula gives us:
A = $15,000(1 + 0.06/1)^(1\*9)
A = $15,000(1 + 0.06)^9
A = $15,000(1.06)^9
A = $15,000\*1.689479
A = $25,342.19 approximately
So, after 9 years, the balance will be $25,342.19, rounding to the nearest cent.
Shailyn solved 618 math problems in one week. Karla solved 549 math problems. How many more math problems did shailyn solve than Karla ?
Shailyn solved 69 more math problems than Karla by subtracting the number of problems Karla solved (549) from the number of problems Shailyn solved (618).
To find out how many more math problems Shailyn solved than Karla, we need to subtract the number of problems Karla solved from the number Shailyn solved. The calculation is as follows:
Shailyn solved = 618 math problemsKarla solved = 549 math problemsDifference = Shailyn's problems - Karla's problemsDifference = 618 - 549 = 69 math problemsTherefore, Shailyn solved 69 more math problems than Karla.
The world's population has grown at an average rate
of 1.9 percent per year since 1945. There were
approximately 4 billion people in the world in 1975.
Which of the following functions represents the
world's population P, in billions of people,
1 years since 1975 ? (1 billion = 1,000,000,000)
A) P(t) = 4(1.019)
B) P(t) = 4(1.9)
C) P(t) = 1.194 + 4
D) P(t) = 1.0197 +4
Answer:
[tex]P(t)=4(1.019)^t[/tex]
Step-by-step explanation:
we know that
The equation of a exponential growth function is equal to
[tex]P=a(1+r)^t[/tex]
where
P ---> is the world's population
t ---> is the number of years since 1945
a ---> is the initial population in 1945
r ---> is the percent rate of growth
we have
[tex]r=1.9\%=1.9/100=0.019[/tex]
substitute
[tex]P=a(1+0.019)^t[/tex]
[tex]P=a(1.019)^t[/tex]
Remember that
There were approximately 4 billion people in the world in 1975
That means
Since year 1975 the initial value a=4 billion people
substitute
[tex]P(t)=4(1.019)^t[/tex]
Which expression can be used to determine the slope of the line that passes through the points (–7, 3) and (1, –9)?
StartFraction 1 minus (negative 7) Over negative 9 minus 3 EndFraction
StartFraction 1 + (negative 7) Over negative 9 + 3 EndFraction
StartFraction negative 9 minus 3 Over 1 minus (negative 7) EndFraction
StartFraction negative 9 + 3 Over 1 + (negative 7) EndFraction
Answer:
Option C
Step-by-step explanation:
We want to select the expression that can be used to find the slope of the line going through the points (–7, 3) and (1, –9)
Recall that the slope is given by:
[tex] \frac{y_2-y_1}{x_2-x_1} [/tex]
We substitute the points into the formula to get:
[tex] \frac{ - 9 - 3}{1 - - 7} [/tex]
Therefore the third choice is correct.
Answer:
C
Step-by-step explanation:
What is the cube root of 8/125
Answer:
[tex]\frac{2}{5}[/tex]
Step-by-step explanation:
Note the [tex]\sqrt[3]{8}[/tex] = 2 and [tex]\sqrt[3]{125}[/tex] = 5
Thus
[tex]\sqrt[3]{\frac{8}{125} }[/tex] = [tex]\frac{\sqrt[3]{8} }{\sqrt[3]{125} }[/tex] = [tex]\frac{2}{5}[/tex]
Answer:
2/5
Step-by-step explanation:
8 = 2^3
125 = 5^3
8x + 2x - 5 = -35
Can someone help me with this answer and how to show my work?
easy question plz help
Answer: 18
Step-by-step explanation:
9+9
Answer:
18 choice C
Step-by-step explanation:
Find the surface area of the rectangle prism. 3cm 9cm and 6cm
Answer:
198 cm²
Step-by-step explanation:
We are given the dimensions of a rectangular prism;
3cm 9cm and 6cm
We are required to determine its surface area;
We need to know that;
Surface area of a rectangular prism is given by;
A = 2(WL+HL+WH)
Where L, W and H are length , width and height respectively;
Assuming;
Width is 3 cm
Length is 9 cm, and
Height is 6 cm
Then;
Area = 2 ( (3×9) + (6×9) + (3×6))
= 2(99)
= 198 cm²
Therefore, the area of the rectangular prism is 198 cm²
Final answer:
The surface area of a rectangular prism with dimensions 3 cm by 9 cm by 6 cm is 198 square centimeters.
Explanation:
To find the surface area of a rectangular prism with dimensions of 3 cm, 9 cm, and 6 cm, we need to calculate the area of all six faces of the prism and then sum those areas. The formula to find the surface area (SA) of a rectangular prism is:
SA = 2lw + 2lh + 2wh
where l is the length, w is the width, and h is the height.
Substituting our given dimensions into the formula gives us:
SA = 2(3 cm)(9 cm) + 2(3 cm)(6 cm) + 2(9 cm)(6 cm)
SA = 2(27 cm²) + 2(18 cm²) + 2(54 cm²)
SA = 54 cm² + 36 cm² + 108 cm²
SA = 198 cm²
So, the total surface area of the rectangular prism is 198 square centimeters.