well, presumably the best deal is the cheaper one, so let's check how much is it for each
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{15\% of 45.99}}{\left( \cfrac{15}{100} \right)45.99} ~~ \approx ~~ 6.90\hspace{5em}\underset{ Store~1 }{\stackrel{ 45.99~~ - ~~6.90 }{\approx\text{\LARGE 39.09}}}\checkmark \\\\[-0.35em] ~\dotfill[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em} \stackrel{\textit{20\% of 52.99}}{\left( \cfrac{20}{100} \right)52.99} ~~ \approx ~~ 10.60\hspace{4em}\underset{ Store~2 }{\stackrel{ 52.99~~ - ~~10.60 }{\approx\text{\LARGE 42.39}}}[/tex]
You invest $1500 in an account at interest rate r, compounded continuously.Find the time required for the amount to double and triple.(Round your answer to two decimal places). r=0.0355
The time required for the amount to double and triple are 19.53 and 30.95 respectively.
How to find the time required for the amount to double and triple?In Mathematics and Financial accounting, continuous compounding interest can be determined or calculated by using this mathematical equation (formula):
[tex]f(t) = P_{0}e^{rt}[/tex]
Where:
f(t) represents the future value.P₀ represents the principal.r represents the interest rate.t represents the time measured in years.Based on the information provided above, we can reasonably infer and logically deduce that a function for the time required for the amount to double is given by;
[tex]2(1500) = 1500e^{0.0355t}\\\\3000= 1500e^{0.0355t}\\\\2=e^{0.0355t}[/tex]
Taking the natural log (ln) of both sides of the equation, we have:
0.0355t = ln(2)
Time, t = 19.53
Similarly, a function for the time required for the amount to triple is given by;
[tex]3(1500) = 1500e^{0.0355t}\\\\4500= 1500e^{0.0355t}\\\\3=e^{0.0355t}[/tex]
Time, t = 30.95
Read more on compound interest here: https://brainly.com/question/31189719
#SPJ1
Abdoulaye is planning to drive from City X to City Y. The scale drawing below shows the distance between the two cities with a scale of 1 inch = 5 miles. City X and City Y are 11/2 between
City X ---------- 11/2 ------------- City Y
What is the actual distance between the two cities?
The actual distance between the two cities is [tex]7\frac{1}{2}[/tex] miles .
What is the actual distance?A scale drawing is the reduced version of a larger image. The scale drawing is reduced at a constant proportion to the original image using a scale. An example of a scale drawing is a map of the city.
Actual distance between the cities can be determined by multiplying the distance in the scale drawing by the scale.
Actual distance = 1[tex]\frac{1}{2}[/tex] x 5
= [tex]\frac{3}{2}[/tex] x 5 = [tex]\frac{15}{2}[/tex] = [tex]7\frac{1}{2}[/tex] miles
To learn more about scale drawings, please check: https://brainly.com/question/26151199
#SPJ1
Carlos does 138 jumping jacks during gym class. John only does 89. How many more jumping jacks did Carlos do than John?
Answer:
Carlos did 49 more jumping jacks than John.
Step-by-step explanation:
Carlos = 138
John = 89
138 - 89 = 49
20 pts
Need help asap!
The probability that the student is a sophomore, given that they are in work, is given as follows:
P(sophomore|work) = 30%.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.
The outcomes for this problem are given as follows:
Total outcomes: 3 + 2 + 5 = 10 people at work.Desired outcomes: 3 sophomores at work.Hence the probability is obtained as follows:
P(sophomore|work) = 3/10 = 0.3 = 30%.
More can be learned about probability at https://brainly.com/question/24756209
#SPJ1
In △ABC, AB=6 cm, AC=15 cm, and m∠A=48°.
What is the area of △ABC?
Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.
The area of triangle ABC is : 33.44 cm²
What is the Area of a Triangle?The area of a triangle is the region enclosed within the sides of the triangle. The area of a triangle varies from one triangle to another depending on the length of the sides and the internal angles. The area of a triangle is expressed in square units, like, m2, cm2, in2, and so on.
We have the information from the question is:
In triangle ABC :
AB=6 cm,
AC=15 cm, and
m ∠A=48°.
We have to find the area of Triangle ABC
Area of triangle is : 1/2 × bc × (SinA)
Area of Triangle = 1/2 × 6 × 15 × (Sin 48° )
We know the value of Sin 48° is 0.7431
Area of Triangle = (1/2) × 66.88
Area of triangle = 33.44 cm²
Learn more about Area of triangle at:
https://brainly.com/question/19305981
#SPJ1
find the least common denominator
What is the equation of the line in slope-intercept form?
Answer:
The answer is the second choice.
Step-by-step explanation:
The slope is rise over run, which is 3/-1, which is -3, which goes before the x. The line hits the y axis at -1, so it is -3x–1
The admission fee at an amusement park is $2.25 for children and $5.60 for adults. On a certain day, 269 people entered the park, and the admission fees collected totaled 1091 dollars. How many children and how many adults were admitted?
How to solve for X and Y
The values of x and y are 4 and 2√2
What is trigonometric ratio?Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.
Sin(tetha) = opp/hyp
tan(tetha) = opp/adj
cos(tetha) = adj/hyp
In the triangle;
y is the opposite to angle 45 and x is the hypotenuse
cos 45° = 2√2/x
1/√2 = 2√2/x
x = 2√2 ×√2
x = 2 × 2 = 4
since the triangle is isosceles,
y = 2√2
learn more about trigonometric ratio from
https://brainly.com/question/24349828
#SPJ1
Sum of vectors a+b pick one of answer choices
Answer:
< - 1, 5 >
Step-by-step explanation:
a = < - 5, 2 >
b = < 4, 3 >
a + b
= < - 5, 2 > + < 4, 3 >
add corresponding elements
= < - 5 + 4, 2 + 3 >
= < - 1, 5 >
An hourglass is 6ft wide and 4 ft tall on top. On bottom the hourglass is 6ft wide and 2 feet tall. It can hold 2000 pounds. if the water takes exactly one year to pass through the hourglass, how much water pass through to the bottom each day? What is the linear function of the water passing through the hourglass?
The linear equation outlining the entire volume of water (y) which has coursed through the hourglass following x days. is
y = 5.48xThe volume of water passed each which is the slope is
5.48How to find the amount of water passing through the glass each dayTo ascertain the amount of water that is passing through the hourglass daily:
where:
Total water capacity: 2000 pounds
Time: 365 days
Water transpiring every day = Total water capacity / Time
Water pervading each day ≈ 200 / 365
Water pervading each day ≈ 5.48 pounds/day
the linear function of the water traveling through the hourglass.
Making x the number of days and y being the total quantity of water which has crossed through the hourglass after x days--as the fluid fluxes at a constant velocity--thus a linear relationship between x and y can be determined.
Every single day (x), the hourglass moves 5.48 pounds of water. This reveals the linear representation of:
y = 5.48x
Learn more about linear function at
https://brainly.com/question/4025726
#SPJ1
what is the volume of a hemisphere with a diameter of 8ft (rounded to the nearest tenth of a cubic foot)
well, if the hemisphere has a diameter of 8, that means its radius is half that or 4, hmm let's find the volume of a Sphere with such a radius, then let's halve it.
[tex]\textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=4 \end{cases}\implies V=\cfrac{4\pi (4)^3}{3} \\\\\\ \stackrel{\textit{now let's get half of that for the hemisphere}}{V=\cfrac{1}{2}\cdot \cfrac{4\pi (4)^3}{3}\implies V=\cfrac{128\pi }{3}}\implies \boxed{V\approx 134.0}[/tex]
A circular table measures 2.5 feet across the diameter of its top. What is the approximate area of the table top. Use 3.14 for TT.
O 9.42 ft²
O 19.63 ft²
O 4.91 ft²
O 7.85 ft²
Find the volume of rectangular prism. (You should have at least 2 steps shows in your work!)(show all decimal places or a fraction)
Answer:
[tex]3 \frac{3}{4} \times 4 \frac{1}{2} \times 5 = \frac{15}{4} \times \frac{9}{2} \times 5 = \frac{675}{8} = 84\frac{3}{8} [/tex]
The volume is 84 3/8 cubic meters = 84.375 cubic meters.
Medication with strength 125 mg/5 mL has been ordered at 5 mg/kg. The patient weighs 134 lb. How much should be administered? (If less than 1, round to the nearest hundredth; otherwise, round to the nearest tenth.)
Rounding to the closest hundredth, the final result is 12.16 mL, which is the amount of the drug that should be administered.
The patient's weight must first be converted from pounds to kilograms.
1 lb = 0.453592 kg
Therefore, 134 lb = 60.78 kg
The dose must then be determined depending on the patient's weight:
60.78 kg times 5 mg/kg equals 303.9 mg.
Now that we know the medication's concentration, we need to determine how much to deliver.
25 mg/mL x 125 mg/5 mL
The dosage for 303.9 mg is as follows:
303.9 mg x 25 mg/mL = 12.16 mL
The final result, rounded to the closest hundredth, is 12.16 mL.
To learn more about hundredth follow the link:
https://brainly.com/question/30528804
#SPJ1
Solve the following for θ, in radians, where 0≤θ<2π.
−7cos2(θ)+3cos(θ)+7=0
Select all that apply:
1.77
0.48
1.4
3.77
2.99
2.51
Answer:3.77
2.51 are correct
Step-by-step explanation:We can solve this quadratic equation in cos(θ) by using the substitution u = cos(θ):
-7u^2 + 3u + 7 = 0
Multiplying both sides by -1, we get:
7u^2 - 3u - 7 = 0
We can use the quadratic formula to solve for u:
u = (-b ± sqrt(b^2 - 4ac)) / 2a
where a = 7, b = -3, and c = -7. Substituting these values, we get:
u = (3 ± sqrt(9 + 196)) / 14
u = (3 ± 5sqrt(5)) / 14
Therefore, either:
Question 1 (1 point)
Write an inequality for the sentence.
The stadium held less than 25,000.
B
O a
O b
9ba580e611107c96c9efb866417dc160.webm 64 KB
s> 25,000
$≤25,000
Oc $<25,000
The inequality that represents the sentence "The stadium held less than 25,000 people" is given as follows:
c < 25,000.
What are the inequality symbols?The four inequality symbols, along with their meaning on the number line and the coordinate plane, are presented as follows:
> x: the amount is greater than x -> the number is to the right of x with an open dot at the number line. -> points above the dashed horizontal line y = x on the coordinate plane.< x: the amount is less than x. -> the number is to the left of x with an open dot at the number line. -> points below the dashed horizontal line y = x on the coordinate plane.≥ x: the amount is at least x. -> the number is to the right of x with a closed dot at the number line. -> points above the solid vertical line y = x on the coordinate plane.≤ the amount is at most x. -> the number is to the left of x with a closed dot at the number line. -> points above the dashed vertical line y = x on the coordinate plane.The amount is less than in this problem, hence the symbol is given as follows:
<.
As the amount is less than 25000, the inequality is given as follows:
c < 25,000.
More can be learned about inequalities at brainly.com/question/25275758
#SPJ1
Need help now please!
The exact value of tan2θ in simplest radical form is -21/√7.
What is the value of tan2θ?The value of tan2θ at the given quadrant is calculated as follows;
From Pythagorean identity, we know that;
sin² θ + cos² θ = 1
cos² θ is calculated as follows;
(3/4)² + cos² θ = 1
9/16 + cos² θ = 1
cos² θ = 1 - 9/16
cos² θ = 7/16
cos θ = √(7/16)
The value of tan θ is calculated as follows;
tan θ = sin θ / cos θ = 3/4 x 4/√7 = 3/√7
Now, we will find tan 2θ;
tan 2θ = 2tan θ / (1 - tan² θ)
tan 2θ = 2(3/√7) / (1 - (3/√7)²)
tan 2θ = (6/√7) / (-2/7)
tan 2θ = -21/√7
Learn more about quadrant angle here: brainly.com/question/28587485
#SPJ1
The endpoints of WX are W(-5,-1) and X(2,6).
What is the length of WX?
A. 7
B. 14
C. 4√2
D. 7/2
How much will you have in our retirement account at the end of 2 years if you contribute $3,000 a year and have a 100% employer match? Assume a 9% annual return on your investments and end-of-year contributions.
0 $12,540.00
0 $6,000.00
The graph of f(x) is shown below. - NW544 -3 (0.6) 2 1 -6-5-4-3-2-11 7 7 7 7 9 9 2 4 1 2 3 4 5 6 x If f(x) and its inverse function, f¹(x), are both plotted on the same coordinate plane, where is their point of intersection?
The point of intersection between a Inverse Functions and its inverse occurs at (2, 2).
The point of intersection between a function and its inverse occurs when the input and output values are the same for both functions.
To find the point of intersection, we need to find the value of x where f(x) = f-1(x).
In this particular case, we can see from the graph that the point of intersection occurs at (2, 2).
Learn more about Inverse Functions here:
https://brainly.com/question/35491336
#SPJ2
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).
The equation of line of reflection of the coordinates is
y = x
What is line of reflection?Mathematics gives the concept of a line of reflection, otherwise known as a line of symmetry. This line acts as a mirror for any figure, where when shown through its reflection, the image becomes congruent to the initial shape.
In simpler words, the line of reflection is like an invisible partition that accurately segments a figure into two identical halves, each resembling the other in more ways than one.
The image is attached and upon investigation shows that the equation of y = x matches the equation of line of reflection
Li=earn more about line of reflection at
https://brainly.com/question/22342234
#SPJ1
I don't understand please help
The diameter of the circle is 396 units.
The length of the arc is 0.83π units.
How to find the diameter of the circle?The length of an arc of a circle is given by the formula:
L = θ/360 * πd
where θ is the measure of the angle and is the diameter of the circle
Given: θ = 80° and L = 88π
L = θ/360 * πd
88π = 80/360 * π * d
88 = 80/360 * d
80 * d = 88 * 360
80d = 31680
80d = 31680/80
d = 396 units
PART 2
If θ = 25°, r = 6 (from the image above). Thus, d = 2 * 6 = 12
L = θ/360 * πd
L = 25/360 * π * 12
L = 0.83π units
Learn more about length of arc on:
https://brainly.com/question/30582409
#SPJ1
Simplify √ x + 3√ 3x − 5√ x.
Answer: -4rootx+3root3x
Step-by-step explanation:
think of the expression under the radicals as like terms, you can only add those that are the exact same 1-5=-4(rootx) can't do anything with the middle
Combine like terms to simplify the expression: 8y + 4 - 3y + 12?
Answer: image below
Step-by-step explanation:
100 POINTS!!! PLS ANSWER ASAP
The number of toys owned by eight classmates is shown below:
4, 3, 4, 5, 6, 6, 8, 4
Part A: What is the mean of the data? Show your work. (4 points)
Part B: Use your answer from Part A to calculate the mean absolute deviation for the data. Show your work. (6 points)
Answer:
the answer for part A is. 5
the absolute deviation is. 1
Step-by-step explanation:
to find the answer for part A add all numbers and divide it by 8
4+3+4+5+6+6+8+5/840/85 is the answersFor part B
4-5= |-1|= 1
3-5= |-2|= 2
4-5= |-1| =1
5-5= |0| =0
6-5= |1 | =1
6-5= |1 | =1
8-5= |3| =3
5-5= |0| =0
Then add all the number and divided them by 8
1+2+1+0+1+1+3+0/89/89/8 is the answerMAY I GET BRAINLIEST
Which equations can be used to solve for y, the length of the room? Select three options. y(y + 5) = 750 y2 – 5y = 750 750 – y(y – 5) = 0 y(y – 5) + 750 = 0 (y + 25)(y – 30) = 0
The equations to solve the length of the room is
a) y² - 5y = 750
b) 750 - y ( y - 5 ) = 0
c) ( y + 25 ) ( y - 30 ) = 0
Given data ,
Let the area of a rectangular room is 750 square feet.
Let the width of the room is 5 feet less than the length of the room
So , on simplifying , we get
w = l - 5
Area of rectangle = length x width
And , A = l x w
A = l ( l - 5 )
750 = y ( y - 5 )
Therefore , the equation is
a) y² - 5y = 750
b) 750 - y ( y - 5 ) = 0
On simplifying the quadratic equation , we get
c) ( y + 25 ) ( y - 30 ) = 0
Hence , the length of the rectangular room is solved
To learn more about area of rectangle click :
https://brainly.com/question/15225905
#SPJ1
The complete question is attached below :
Which equations can be used to solve for y, the length of the room? Select three options.
a) y(y + 5) = 750
b) y² – 5y = 750
c) 750 – y(y – 5) = 0
d) y(y – 5) + 750 = 0
e) (y + 25)(y – 30) = 0
If a solid has 6 faces and 12 edges, how many vertices does it have? A. 10 vertices B. 9 vertices C. 7 vertices D. 8 vertices
Answer: D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Right triangle XYZ, has vertex angles at the coordinates, X(0, 0), Y(-3, 0) and Z(-3, 4). Its Image, triangle X'Y'Z' has ve
angles at the coordinates, X(3, -5), Y(0, -5), and Z'(0, -1). Describe the horizontal and vertical translations that map
triangle XYZ onto its image, triangle X'Y'Z'.
Oright 5; down 3
Oright 3; up 5
Oright 3; down 5
O left 5; up 3
NEXT QUESTION
ASK FOR HELP
TURN
The horizontal and vertical translations that map triangle XYZ onto its image, triangle X'Y'Z' include the following: C. right 3; down 5.
What is a translation?In Mathematics and Geometry, the translation of a graph to the right simply means adding a digit to the value on the x-coordinate of the pre-image.
In Mathematics and Geometry, a horizontal translation to the right is modeled by this mathematical equation g(x) = f(x - N) while a vertical translation to the positive y-direction (downward) is modeled by this mathematical equation g(x) = f(x) - N.
Where:
N represents an integer.g(x) and f(x) represent functions.In order to map the two triangles, we would have to apply a vertical translation to f(x) by 5 units down and a horizontal translation by 3 units right.
Read more on translation here: brainly.com/question/4521517
#SPJ1
Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Solve the following for θ, in radians, where 0≤θ<2π.
3cos2(θ)+7cos(θ)−8=0
Select all that apply:
0.3
0.74
0.57
1.98
1.65
5.71
Answer:correct answer is 0.57
5.71
Step-by-step explanation:We can solve this quadratic equation in cos(θ) by using the substitution u = cos(θ):
3u^2 + 7u - 8 = 0
Now we can factor the quadratic:
(3u - 1)(u + 8) = 0
Therefore, either:
3cos(θ) - 1 = 0
cos(θ) = 1/3
or:
cos(θ) + 8 = 0
cos(θ) = -8 (not possible, since cos(θ) is between -1 and 1)
So, we have cos(θ) = 1/3. Since 0 ≤ θ < 2π, we can find the two solutions in the interval [0, 2π) by using the inverse cosine function:
θ = arccos(1/3)
Using a calculator, we find:
θ ≈ 1.2309 or θ ≈ 5.1102
Therefore, in radians, the solutions for θ are approximately:
1.2309 (which is less than 2π)
5.1102 (which is greater than 2π)
So the only answer that satisfies 0 ≤ θ < 2π is:
1.2309 (rounded to four decimal places)
Therefore, the answer is:
