Answer:
She started with 26 boxes.
Step-by-step explanation:
She started with x boxes. Then she bought 8 more boxes. Now she had x + 8 boxes. Then half the boxes were destroyed, so she has the other half of the boxes. Half of the boxes is (x + 8)/2. She has now 17 boxes, so (x + 8)/2 = 17.
(x + 8)/2 = 17
Multiply both sides by 2.
x + 8 = 34
Subtract 8 from both sides.
x = 26
She started with 26 boxes.
Find the real number root
Answer:
There is no real number root
Step-by-step explanation:
There is no real number root because there is a negative number inside the root.
No real number root
MethodThere is no real number root because it is a negative numberA _____ has two-fold rotational symmetry.
A. circle
B. equilateral triangle
C. square
D. line
A circle, square and a line has a two fold symmetry.
What is rotational symmetry?A figure is said to be rotationally symmetric if when it is rotated along its axis remains the same. F
Given is to find the quotient when 6 is divided by 444.
If an object appears identical after a rotation of 180 degrees, that is twice in a 360 degrees rotation, then it is said to have a 2-fold rotation axis. A circle, square and a line has a two fold symmetry.
Therefore, a circle, square and a line has a two fold symmetry.
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Write an equation in standard form for the circle shown.
Answer:
B
Step-by-step explanation:
The intercepted angle is given as "34x+4"
The arc is 196.
Any intercepted angle of an arc that falls in the opposite circumference, it will have a measure half that of the arc intercepted.
Hence,
34x+4 = (0.5)(196)
34x + 4 = 98
34x = 98 - 4
34x = 94
x = 94/34 = 2.76
Answer choice B is right.
The first row of a section in a stadium has 10 seats. The second row has 11 seats. The third row has 12 seats. This pattern continues and the section has 24 rows.
How many seats are in this section?
answers ?
is it 516?
Answer: I believe it is 33 seats
Step-by-step explanation:
Answer:
516
Step-by-step explanation:
A person invests $1,150 in an account that earns 5% annual interest compounded continuously. Find when the value of the investment reaches $2,000. If necessary round to the nearest tenth.
The investment will reach a value of $2,000 in approximately_____years.
Answer:
11.1 years
Step-by-step explanation:
The formula for interest compounding continuously is:
[tex]A(t)=Pe^{rt}[/tex]
Where A(t) is the amount after the compounding, P is the initial deposit, r is the interest rate in decimal form, and t is the time in years. Filling in what we have looks like this:
[tex]2000=1150e^{{.05t}[/tex]
We will simplify this first a bit by dividing 2000 by 1150 to get
[tex]1.739130435=e^{.05t}[/tex]
To get that t out the exponential position it is currently in we have to take the natural log of both sides. Since a natural log has a base of e, taking the natual log of e cancels both of them out. They "undo" each other, for lack of a better way to explain it. That leaves us with
ln(1.739130435)=.05t
Taking the natural log of that decimal on our calculator gives us
.5533852383=.05t
Now divide both sides by .05 to get t = 11.06770477 which rounds to 11.1 years.
Identify the volume of a cone with radius 6 m and height 11 m. HELP PLEASE!!
Answer: 414.48
Step-by-step explanation:
r: the radius of the base
h: height
The volume of a cone is given by:
V = π ∙ r2 ∙ h / 3,
where π ∙ r2 is the base area of the cone.
π defines the ratio of any circle's circumference to its diameter and is approximately equal to 3.141593, however the value 3.14 is often used.
Answer:
V = 414.7 m3
Step-by-step explanation:
Thats your answer :))
Solve for Y (please help me solve!)
Answer:
b = 10
Step-by-step explanation:
a) Solve by inspection. b=10 makes both fractions equal to 1.
Both the numerator and denominator of the fraction on the right are 2 greater than those of the fraction on the left. The fractions will be equal when numerator and denominator are equal.
__
b) Multiply by 60 and solve in the usual way.
6b = 5(b+2)
b = 10 . . . . . . . . . . subtract 5b
__
c) Expand the fraction on the right, subtract the variable term.
b/10 = b/12 + 2/12
b(1/10 - 1/12) = 1/6
b/60 = 1/6 . . . . simplify
b = 60/6 = 10 . . . . multiply by 60
_____
Comment on the question
There is no "y", so you cannot solve for y. This is another example of poor quality control (editing) of math curriculum materials. It is my sincere wish that you not have to put up with that. Math is tough enough without this added confusion.
Answer:
b=10
Step-by-step explanation:
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
Cynthia decides she is going to purchase a used passenger car. Her grandparents agree to pay for 50% of the passenger car. To get an idea of prices Cynthia looks at listings in a local used automobile publication and on a local internet site.
Which answer best describes the sample and population?
Answer:
its going to have to be option c
Step-by-step explanation:
because it shows all the listings of cars next to her
Answer: D) sample: local listings and internet sites
population: all used passenger cars
Step-by-step explanation:
A sample is a subset of items from a larger population.
A population includes all of the elements from a set of data.
Cynthia wants to buy a used passenger car.
All available used cars is the POPULATION
Cynthia looks at local listings and on internet sites.
This is a subset of all available used cars so this is the SAMPLE
Furthermore, she may not find what she is looking for and may expand her subset to include used car lots, etc.
Identify the sine function with the given attributes.
amplitude: 1; period: 2; phase shift: 3; vertical shift: 4
Answer:
Last option
[tex]f(t)=sin(\pi(t -3)) + 4[/tex]
Step-by-step explanation:
The general sine function has the following form
[tex]y = Asin(bt-\phi) + k[/tex]
Where A is the amplitude: half the vertical distance between the highest peak and the lowest peak of the wave.
[tex]\frac{2\pi}{b}[/tex] is the period: time it takes the wave to complete a cycle.
k is the vertical displacement.
[tex]\phi[/tex] phase shift
We know that:
amplitude: 1; period: 2; phase shift: 3; vertical shift: 4
Thus:
[tex]A =1[/tex]
[tex]\frac{2\pi}{b}=2[/tex]
[tex]b=\pi[/tex]
[tex]\phi=3[/tex]
[tex]k=4[/tex]
Then the function is:
[tex]f(t)=sin(\pi(t -3)) + 4[/tex]
The answer is last option
What is the point of intersection when the system of equations below is graphed on the coordinate plane?
A) (0, 4)
B) (4, 0)
C) no intersection point
D) infinite intersection points
D. Infinite intersection points
Divide both sides of the second equation by 2 to find that it is equal to y = 4 - x, which is the same as the first equation.
Since they are the same equation, they are always touching each other since they are the exact same line, which means they are always intersecting, and there are infinite intersection points.
Find the distance..
Please help!!!
Answer:
d = 7.071068
Step-by-step explanation:
Price of automobile= $3,000
Number of payments made in a year=12
Number of payments made = 36
Monthly payment amount = $93.33
True annual interest rate?
The true annual interest rate for this loan is approximately 1.44 or 144%.
The Breakdown
To calculate the true annual interest rate, we can use the formula for calculating the interest rate on a loan:
True Annual Interest Rate = [(Monthly Payment Amount × Number of Payments) / Loan Amount - 1] × 12
Given the information provided:
Loan Amount = $3,000
Number of Payments = 36
Monthly Payment Amount = $93.33
Substituting these values into the formula:
True Annual Interest Rate = [(93.33 × 36) / 3000 - 1] × 12
Calculating this expression:
True Annual Interest Rate = [(3360 / 3000) - 1] × 12
True Annual Interest Rate = (1.12 - 1) × 12
True Annual Interest Rate = 0.12 × 12
True Annual Interest Rate = 1.44
Therefore, the true annual interest rate for this loan is 1.44 or 144%.
18, 19, 20, 20, 23, 26, 260
What is the better measure of center for these data? Mean or median? Why? Explain your answer.
Answer:
Median
Step-by-step explanation:
This set of data has an extreme outlier, which will throw off the mean. The median, on the other hand, does not change or changes minimally whether or not the outlier is there.
By default, the mean is always better, but if an outlier, such as this one, is too large, the median is better.
A pepperoni pizza cost $7.50 and a cheese pizza costs $6.00. If Cindy purchases five cheese pizzas and four pepperoni pizzas for a birthday party and pays with a $65.00 cash, how much change will she receive?
Answer:
She will receive [tex]\$5[/tex]
Step-by-step explanation:
step 1
Find the total cost
The total cost is equal to
[tex]5(\$6.00)+4(\$7.50)=\$60[/tex]
step 2
Find the difference
[tex]\$65-\$60=\$5[/tex]
Answer:
$5
Step-by-step explanation:
65-6x5-4x7.5=5
what is the length of Y on this circle?
8 units
10 units
12 units
18 units
Check the picture below.
The pillars in front of Mr. Jefferson's home are shaped like cylinders with a height of 24 ft and a radius of 8 in. What is the lateral area of each pillar
Answer:
The lateral area is [tex]4,608\pi\ in^{2}[/tex] or [tex]32\pi\ ft^{2}[/tex]
Step-by-step explanation:
we know that
The lateral area of a cylinder (pillar) is equal to
[tex]LA=2\pi rh[/tex]
Remember that
1 ft=12 in
Find the lateral area in square inches
we have
[tex]r=8\ in[/tex]
[tex]h=24\ ft[/tex] ----> convert to inches
[tex]h=24*12=288\ in[/tex]
substitute the values
[tex]LA=2\pi (8)(288)[/tex]
[tex]LA=4,608\pi\ in^{2}[/tex]
Find the lateral area in square feet
we have
[tex]h=24\ ft[/tex]
[tex]r=8\ in[/tex] -----> convert to feet
[tex]r=8/12=(2/3)\ ft[/tex]
substitute the values
[tex]LA=2\pi (2/3)(24)[/tex]
[tex]LA=32\pi\ ft^{2}[/tex]
WILL MARK BRAINLIEST PLEASE HELP ASAP. The value of n is a distance of 1.5 units from -2 on a number line.
Answer:
see explanation
Step-by-step explanation:
There are 2 possible positions for n, that is
- 2 - 1.5 = - 3.5
OR
- 2 + 1.5 = - 0.5
Both are 1.5 units distance from - 2
The possible values of n are -0.5 and -3.5
Step-by-step explanation:
Analyze two cases
1) n-(-2)=1.5
Solve for n
n+2=1.5
n=1.5-2
n=-0.5
2) -2-n=1.5
n=-2-1.5
n=-3.5
Evaluate the line integral c f · dr, where c is given by the vector function r(t). f(x, y, z) = (x + y2) i + xz j + (y + z) k, r(t) = t2 i + t3 j − 2t k, 0 ≤ t ≤ 2 $$ correct: your answer is correct.
[tex]\vec r(t)=t^2\,\vec\imath+t^3\,\vec\jmath-2t\,\vec k[/tex]
[tex]\mathrm d\vec r=(2t\,\vec\imath+3t^2\,\vec\jmath-2\,\vec k)\,\mathrm dt[/tex]
[tex]\vec f(x,y,z)=(x+y^2)\,\vec\imath+xz\,\vec\jmath+(y+z)\,\vec k[/tex]
[tex]\vec f(x(t),y(t),z(t))=(t^2+t^6)\,\vec\imath-2t^3\,\vec\jmath+(t^3-2t)\,\vec k[/tex]
The line integral is
[tex]\displaystyle\int_C\vec f\cdot\mathrm d\vec r=\int_0^2\bigg((t^2+t^6)\,\vec\imath-2t^3\,\vec\jmath+(t^3-2t)\,\vec k\bigg)\cdot(2t\,\vec\imath+3t^2\,\vec\jmath-2\,\vec k)\,\mathrm dt[/tex]
[tex]=\displaystyle\int_0^2(2t^7-6t^5+4t)\,\mathrm dt=\boxed{8}[/tex]
Given:
[tex]\to \bold{\int_{c} \ F \cdot dx}[/tex]
Where
[tex]\to \bold{F(x,y,z)=(x+y^2)i+xzj+(y+z)K}[/tex] and C is given by the vector function [tex]\bold{r(t)}[/tex].
[tex]\to \bold{r(t)=t^2i+t^3j-2tk,\ \ 0\leq t\leq 2}\\\\\to \bold{dx=(2ti+3t^2j-2k)dt}\\\\[/tex]
therefore
[tex]\to \bold{x=t^2}\\\\ \to \bold{y=t^3}\\\\ \to \bold{z=2t}\\\\\to \bold{F(r)=(t^2+(t^3)^2)i+t^2(-2t)j+(t^3-2t)k}\\\\[/tex]
[tex]\bold{=(t^2+t^6)i-2t^3j+(t^3-2t)k}\\\\[/tex]
[tex]\bold{\therefore}\\\\\bold{F(r).dx=((t^2+t^6)i-2t^3j+(t^3-2t)k).(2ti+3t^2j-2k)}\\\\[/tex]
[tex]=\bold{((t^2+t^6)2t-2t^3(3t^2)+(t^3-2t)(-2)]dt}\\\\=\bold{(2t^3+2t^7-6t^5-2t^3+4t)dt}\\\\=\bold{(2t^7-6t^5+4t)dt}\\\\[/tex]
Calculating the line integral:
[tex]\bold{\int_{c}\ F .dx=\int^{2}_{t=0} (2t^7-6t^5+4t)dt}\\\\[/tex]
[tex]=\bold{[\frac{t^8}{4}-t^6+2t^2]^{2}_{0}}\\\\=\bold{\frac{2^8}{4}-2^6+2(2)^2}\\\\=\bold{\frac{256}{4}-64+2(4)}\\\\=\bold{64-64+8}\\\\=\bold{8}[/tex]
Therefore the final answer "8".
Learn more:
line integral: brainly.com/question/16571684
If the angle of elevation of the escalator is 10° 21’ 36° find th length of the escalator (picture provided)
Answer:
The length of the escalator ≈ 1088.8 ft ⇒ answer (b)
Step-by-step explanation:
* Lets explain the problem
- Consider the escalator and the vertical raise formed a right
angle triangle
- The length of the escalator is the hypotenuse
- The vertical rise is on leg of the right triangle
- The angle of elevation is the angle between the hypotenuse
and the horizontal
* Now lets solve the problem
∵ Angle of elevation = 10° 21' 36"
∵ Vertical distance = 195.8 feet
* The vertical is opposite to the angle of elevation
∴ sin angel of elevation= the vertical/the length of the escalator
∴ sin(10° 21' 36") = 195.8/the length of the escalator
- By using cross multiplication
∴ The length of the escalator = 195.8/sin(10° 21' 36") = 1088.8 feet
* The length of the escalator = 1088.8 ft
EASY Brainliest. What is the parent graph?
Answer:
D
Step-by-step explanation:
The given function builds on the parent graphy = x^2.
The answer is D. y=x^2
A wall with an area of (3x2 + 4x + 1) square units has a rectangular window that has a width of (x + 2) units and a length of (x + 1) units. The wall also has a built-in shelving unit that occupies an area of (x2 + 5x + 6) square units of wall space. If the wall is to be covered with wallpaper, how much wallpaper will be required?
Answer:
the total available area = (3x^2 + 4x + 1) - (2x^2 + 8x + 8) = x^2 - 4x - 7
Step-by-step explanation:
The question seems to ask available area and not how much wallpaper is required. Let's calculate the area of the rectangular window. Area of a rectangle = Length * Breath Area = (x + 2) * (x + 1) = x^2 + 3x + 2 The wall also has a built- in shelving unit that occupies an area of (x^2 + 5x + 6). So total area occupied by the rectangular wall and shelf is (x^2 + 3x + 2) + (x^2 + 5x + 6) = 2x^2 + 8x + 8. If the wall is to be covered with wallpaper
Sorry for the wait
(10Q) Determine the graph of the cosine curve with an amplitude of 2 and a period of 2.
ANSWER
See attachment.
EXPLANATION
The cosine function is symmetric with respect to the y-axis.
If the cosine function has an amplitude of 2 then, its range is
-2≤y≤2
If the period is 2 , then its must complete a full cycle on the interval, [-2,0],[0,2], [2,4], etc.
The graph that has all these features is shown in the attachment.
What is the volume of the cylinder below?
The answer is D. 36pi units^3
Hope this helps!
The formula for cylinder volume is: pi*r^2*h
For this case we have that the volume of the cylinder is given by:
[tex]V = \pi * r ^ 2 * h[/tex]
Where:
h: It is the height of the cylinder
A: It is the radius of the cylinder
We have to, according to the given data:[tex]h = 4\\r = 3[/tex]
Substituting:
[tex]V = \pi * (3) ^ 2 * 4\\V = \pi * 9 * 4\\V = 36 \ pi[/tex]
[tex]36 \pi \ units ^ 3[/tex]
ANswer:
Option D
[tex]36 \pi \ units ^ 3[/tex]
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
What is the best way to gather information for each of the scenarios?
Select Survey, Experiment, or Observational study for each scenario.
1.Observation study
2.Survey
3.Experiment
4.Survey
Hope thiz help:)
In choosing between a survey, experiment, or observational study, consider the requirements of your study and the nature of the data you hope to collect. Surveys are good for widespread data, experiments allow control of variables, and observational studies are good for observing natural behavior.
Explanation:The best way to gather information in research scenarios depends on the nature of the scenarios in question. However, here are brief descriptions for each method:
Survey: This involves collecting information by asking a series of questions. It is good for collecting a large amount of data or when the target population is widespread.Experiment: This involves manipulating one or more variables to determine the effect on another variable. It is generally used when the researcher has control over the variables.Observational Study: This involves observing subjects in their natural environment without interference. It is useful when ethical or practical considerations mean an experiment is not possible.Depending on the scenario, choose the method that fits best with the data needed and the practical considerations of conducting the study.
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Jeanne babysits for $6 per hour. She also works as a reading tutor for $10 per hour. She is only allowed to work 20 hours per week. This week, her goal is to make at least $75.
Answer:
i have provided some pictures to help you i cant post the graphs though cuz they dont allow me to but if you need them i can send link pictures :)
i also love you're Naruto profile picture uwu
Jeanne can use a system of inequalities to make at least $75.
How Jeanne can make at least $75?Let X represent babysitting hours = $6 per hour.
Y represent tutoring hours = $10 per hour.
If she will work more 7.5hours or more than 7.5 hours she can make $75 easily.
$10 per hour × 7 hours = $70
& $6 per hour × 1 hour = $6
so, $70 + $6 = $76.
In the above way she can make easily $75.
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help help help someone
Answer:
B
Step-by-step explanation:
This is easier to follow if you write it out the long way.
g(x) = (x + 3)/x
g(f(x)) = (f(x) + 3)/f(x)
g(x^2 - 7) = (x^2 + 7 + 3)/(x^2 + 7)
g(x^2 - 7) = (x^2 +10 ) / (x^2 + 7)
g(-5) = ( (-5)^2 + 10) / ( (-5)^2 + 7)
g(-5) = ( 25 + 10) / (25 + 7)
g(-5) = 35/32
Vector v has a direction of (-3,21). find the direction angle for v
Since tan is negative in the second quadrant, hence the direction angle for v is 98.13 degrees
Direction of a vectorThe direction of a vector is the degree at which the vector is moving with respect to the horizontal.
Given the coordinate point (-3, 21), the direction is expressed as:
theta = arctan(y/x)
Substitute
theta = arctan(21/-3)
theta =arctan(-7)
theta = -81.7 degrees
Since tan is negative in the second quadrant, hence the direction angle for v is 98.13 degrees
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Identify the volume of the composite figure. HELP PLEASE!!
Answer:
Vol. of the composite figure is 189 m³
Step-by-step explanation:
Find the volume of the larger figure by mult. together its 3 dimensions:
V = (9 m)(8 m)(3 m) = 216 m³.
Next, find the volume of the "notch," which is (3 m)³, or 27 m³.
Finally, subtract the "notch" volume from the 216 m³ volume found earlier:
216 m³ - 27 m³ = 189 m³
What is m∠B?
Round the value to the nearest degree.
Answer:
46°
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you ...
Cos = Adjacent/Hypotenuse
You are given the lengths of the hypotenuse of the triangle and the side adjacent to the angle you want to find. So, the cosine function describes the relationship:
cos(B) = AB/CB = (20 cm)/(29 cm)
B = arccos(20/29) ≈ 46.397°
B ≈ 46°
The student is looking for the value of an angle, m∠B, which requires solving an equation and rounding to the nearest integer. The provided information does not give a direct method or equation for calculating m∠B, thus an answer cannot be given confidently.
Explanation:The student is asking to calculate the value of an angle, denoted as m∠B, to the nearest degree. This is a mathematics problem likely involving geometry or trigonometry.
In the information provided, different equations and scenarios for calculating angles and magnitudes are given, but they seem to be disconnected, and the specific question regarding m∠B isn't directly addressed by the provided equations and examples.
Without a direct relationship or equation including m∠B, or a diagram to reference, it is not possible to confidently provide the value of m∠B. However, the excerpts suggest that if we had an equation and needed to find an angle such as m∠B, we would solve the equation and then round the result to the nearest integer, as angles are typically given in integers when degrees of freedom are considered.
is what is the first month of an year an example of a statistical question
No there is no variability cause the answers will always be the same
this would be a non-stat question