The proportional relation that tells us how many hours she practices basketball in D days is:
H = 2*D
How to write an expression for the number of hours she practices in D days?
We know that Shermika practices basketball for two hours each day, then in one day she will practice 2 hours, in 2 days she will practice 4 hours, and so on.
We want to find an expression that relates the number of hours practiced, H, in D days.
If she practices 2 hours per day, then in D days she will practice a total of:
H = 2*D
This is just a proportional relation that tells us how many hours she practices basketball in D days.
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The equation 2x2−6x−9=0 has two solutions.
The solution to the given equation is 3±3√3/2
Solving quadratic equationGiven the quadratic equation below
2x^2−6x−9=0
Solve using the general formula to have:
a = 2
b = -6
c = -9
Substitute
x = -b±√b²-4ac/2a
x = -(-6)±√(-6)²-4(2)(-9)/2(2)
x = 6±√36+72/4
x = 6±√108/4
x = 6±6√3/4
x = 3±3√3/2
Hence the solution to the given equation is 3±3√3/2
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DJI manufactures the Mavic Air 2 quadcopter and offered a 6/4/3 chain discount to primary customers. Drone Nerds is a primary customer and ordered 15 Mavic Air 2's for a total $26,500 list price.
Drone nerds will get 15 Mavic air 2's for $23196.192 after offering a chain discount of 6/4/3.
Chain discount is the series of discounts that are offered from the list price of an object when bought from a store.
A general example of a 10/5 chain discount denotes that there will be a series of discounts on the list price. First a discount of 10% is awarded on the list price then a further 5% on the reduced price.
The List price of the drones is $26500.
Chain discount=6/4/3
So the first discount received is 6% on the $26500.
Price after the first discount=26500- 6%of 26500
Simplifying we get
[tex]=26500-.06\times26500\\=24910[/tex]
The price after the first discount is $24910
Now we will apply the 4% discount on $24910
Price after second discount=24910-4% of 24910
=$23913.60
Now we apply the third discount
Price after third discount is=23913.60-3%of 23913.60
=$23196.192
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Which of the following equations are equivalent to -2m - 5m - 8 = 3 + (-7) + m?
m - 4 = -7m - 8
-8 - 3m = 4 - m
-3m - 8 = 4 - m
-15m = -4m
-7m - 8 = m - 4
-8 - 7m = -4 + m
You can have multiple answers
The equation equivalent to -2m - 5m - 8 = 3 + (-7) + m is
-7m - 8 = m - 4. Option E
This is further explained below.
Which of the following equations are equivalent to -2m - 5m - 8 = 3 + (-7) + m?Generally, the equations equivalence is mathematically given as
-2m - 5m - 8 = 3 + (-7) + m
Therefore
-7m - 8 = 3 + (-7) + m
When we write the equation such that the variable appears on the right-hand side first, we get the following:
-7m - 8 = m - 4
In conclusion, The equation equivalent to -2m - 5m - 8 = 3 + (-7) + m is
-7m - 8 = m - 4.
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Whats 1,250 - 250 x 2?
Answer:750
Step-by-step explanation:
multiply the numbers
1250-250x2
1250-500
subract the two numbers and you will get
750
Liam wants to buy raspberries and pears to make a fruit tart. Raspberries cost $2.50
per pound and pears cost $2.25 per pound. How much does he spend if he buys 3
ppunds of raspberries and 2 pounds of pears? How much does he spend if he buys a
pounds of raspberries and y pounds of pears?
He spends x pounds of Raspberries and y pounds of pears, then the equation can be 2.5x + 2.25 y
What is algebra?Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions.
Given:
Raspberries cost $2.50 per pound
pears cost $2.25 per pound
so, she spends
=2.5 * 3 + 2.25 *2
=7.5+4.5
=$12
If he spends x pounds of Raspberries and y pounds of pears.
then the equation can be
2.5x + 2.25 y
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Anna and Julia are at point P. Point Q is due North of point P. They disagree about the shortest route from P to Q. Anna walks on a bearing of 330°, and then changes to a bearing of 040°, which takes her straight to Q. Julia walks 3 km on a bearing of 0200, after which she walks on a bearing of 300°, which then takes her straight to Q. Who took the shorter route?
The Shorter route as per the bearing calculations is taken up by Julia.
What is a bearing?
The angle from the north line, expressed in degrees, is the correct bearing to a given point. The real bearing will simply be referred to as the bearing.A point's bearing is the number of degrees inside the angle measured counterclockwise from the north line towards the line connecting the point and the compass's center.When describing the direction from one point in relation to another, a bearing is utilized.Bearing calculations are illustrated below:
Route Taken up by Anna
360-330= 30°
First angle =90-30= 60°
Second angle= 60+(90-40) =110°
Third angle= 180-(110+30)= 40°
Route taken up by Julia:
First angle =20°
Second angle= 300-(180+20)=100°
Third angle=180-(20+100)=60°
Hence, the Shorter route as per the bearing calculations is taken up by Julia and bearing diagram is attached with the solution as an image.
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√₂
You invested $7000 between two accounts paying 5% and 8% annual interest, respectively. If the total interest
earned for the year was $500, how much was invested at each rate?
was invested at 5% and $ was invested at 8%.
Save
>
Answer:
$2000 was invested at 5% and $5000 was invested at 8%.
Step-by-step explanation:
Assuming the interest is simple interest.
Simple Interest Formula
I = Prt
where:
I = interest earned.P = principal invested.r = interest rate (in decimal form).t = time (in years).Given:
Total P = $7000P₁ = principal invested at 5%P₂ = principal invested at 8%Total interest = $500r₁ = 5% = 0.05r₂ = 8% = 0.08t = 1 yearCreate two equations from the given information:
[tex]\textsf{Equation 1}: \quad \sf P_1+P_2=7000[/tex]
[tex]\textsf{Equation 2}: \quad \sf P_1r_1t+P_2r_2t=I\implies 0.05P_1+0.08P_2=500[/tex]
Rewrite Equation 1 to make P₁ the subject:
[tex]\implies \sf P_1=7000-P_2[/tex]
Substitute this into Equation 2 and solve for P₂:
[tex]\implies \sf 0.05(7000-P_2)+0.08P_2=500[/tex]
[tex]\implies \sf 350-0.05P_2+0.08P_2=500[/tex]
[tex]\implies \sf 0.03P_2=150[/tex]
[tex]\implies \sf P_2=\dfrac{150}{0.03}[/tex]
[tex]\implies \sf P_2=5000[/tex]
Substitute the found value of P₂ into Equation 1 and solve for P₁:
[tex]\implies \sf P_1+5000=7000[/tex]
[tex]\implies \sf P_1=7000-5000[/tex]
[tex]\implies \sf P_1 = 2000[/tex]
$2000 was invested at 5% and $5000 was invested at 8%.
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the difference of a number and eight is four. Find the number.
By eating 1 egg, 1 cupcake, and 1 slice of pizza, a child consumes 300 mg of cholesterol. If the child eats 3 cupcakes and 4 slices of pizza, he or she takes in 82 mg of cholesterol. By eating 2 eggs and 1 cupcake, a child consumes 568 mg of cholesterol. How much cholesterol is in each item?
Answer: 300
Step-by-step explanation:
What do you hypothesize about rational numbers with denominators that are prime
numbers?
Answer:
There is no special hypothesis that you can come up with. You could, of course, hypothesize that they are special numbers
Step-by-step explanation:
determine the range of the following graph, help me please!!
Answer: Range: -9<=y<=-4
Step-by-step explanation:
Starts at (-5,-4), ends at (3, -9). Look at the y-coordinates
Range starts at y=-4, ends at y=-9. In the graph, there are no y-coordinates that are greater than -4 and less than -9.
Range: -9<=y<=-4
Answer:
-9 ≤ y ≤ -4
Step-by-step explanation:
Hello!
The range is the set of y-values that the graph goes through.
The minimum y-value of this graph is -9, and the maximum y-value is -4. Since the endpoints are filled in, we use the ≥ or ≤ symbols to write the inequality.
The inequality is -9 ≤ y ≤ -4.
=
Find the exact value of the expression. Do not use a calculator.
sin 26° - cos 64°
sin 26° - cos 64° =
=
(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
The value of the expression is 0 without calculation.
We have to find the exact value of
sin 26° - cos 26°
From the trigonometric function we know that:
cos (90°-Ф) = sinФ and,
sin(90° -Ф) = cosФ
By this, we have an expression that,
=sin 26° - cos 64°
=sin 26° - cos (90° - 26)
=sin 26° - sin 26°
=0
Therefore the value of sin 26° - cos 64° =0.
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Determine the sum of (8x1 – x + 4) and (3x + 5)
Answer:
x = 1/9
Step-by-step explanation:
8x¹ - x +4 can be also written as 7x + 4 or 7x = -4
And 3x + 5 can be written as 3x = -5
So,
7x = -4
-(3x = -5)
4x = 1
x = 1/9
3. What is one question you can ask yourself if you find you are making an irrational
decision because of the endowment effect?
Answer:
Asking yourself how much you'd be willing to spend if someone else offered you a similar product.
3-11-(-6) subtract this and thank youuuuuu
Answer:
3-11-(-6)
the answer will be
-2
If f(x) = -2x² + 4 and g(x) = 3x - 3, find f (4) + g(-6).
Answer:
(-2[tex]x^{2}[/tex]+3x+1)
Step-by-step explanation:
f(x) = -2x² + 4 g(x) = 3x - 3 find f (4) + g(-6).
f(x)+g(x)
(-2[tex]x^{2}[/tex]+4) +(3x-3)
(-2[tex]x^{2}[/tex]+3x+4-3)
(-2[tex]x^{2}[/tex]+3x+1)
Green Sun has net working capital of $400, current assets of $2,315, and inventory of $1,100. �What is the Quick ratio?
Answer:
3:5.7
Step-by-step explanation:
please Mark me as
Answer:
its not a accurate questions
cant be answered
Step-by-step explanation:
Rewrite the expression [tex]\sqrt (4x)}[/tex] using rational exponents
The expression √4x using rational exponents ( 4x )^{\frac{1}{2} } .
What is rational exponents?
Expressions having exponents that are rational values are known as rational exponents (also known as fractional exponents) (as opposed to integers ). It is beneficial to give rational exponents serious consideration even though all the standard exponent criteria still apply.What is Integer Exponents?
In mathematics, exponents that should be integers are known as integer exponents. It may be an integer that is either positive or negative. It specifies how many times the base number should be multiplied by itself using positive integer exponents.√4x
use [tex]\sqrt[n]{a^{x} } = a^{x/n}[/tex]
to rewrite
√4x = [tex]( 4x )^{\frac{1}{2} }[/tex]
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if 3 equal 8 what will equal 600
Answer:
if 3 equal 8 , then 600 will be 1600.
A ball is thrown up on the surface of a moon. It’s height above the lunar surface (in feet) after ‘t’ seconds is given by the formula
h =592t - 16/7t^2
Find the time that the ball reaches its maximum height.
Step-by-step explanation:
we get the points with extreme values as the 0 points of the first derivative of the function.
h'(t) = 592 - 32/7 t = 0
592 = 32/7 t
4144 = 32t
t = 129.5 seconds
so, it will reach its max. height after 129.5 seconds.
The time that the ball reaches its maximum height is 129.5 seconds.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The height above the lunar surface (in feet) after ‘t’ seconds is given by the formula;
⇒ h =592t - 16/7t²
Now,
We have to find the derivative of above formula and equate to zero for the maximum time as;
⇒ h =592t - 16/7t²
⇒ h' =592 - 16/7 × 2t = 0
⇒ 592 - 32/7 t = 0
⇒ 32/7 t = 592
⇒ 32t = 592 × 7
⇒ 32t = 4,144
⇒ t = 4,144/32
⇒ t = 129.5 seconds.
Thus, The time that the ball reaches its maximum height is 129.5 seconds.
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Describe the features of a Cartesian Plane in terms of its axes, the direction of the axes and its centre.
Answer:
A Cartesian Plane is a plane in Geometry which is an flat surface of infinite size. It has two number lines that intersect at right angles at their zeros. One number line is horizontal, and the other number line is vertical. The point of intersection is the zero of each line. In the horizontal line, the numbers increase to the right. In the vertical line, the numbers increase up. The horizontal line is called the x axis. The vertical line is called the y axis. The center of the Cartesian Plane is the intersection of the two axes, the two number lines, and is called the origin. Points on the Cartesian Plane are described with two numbers in parentheses separated by a comma. The position of the point in the Cartesian Plane is given by the first number, called the x-coordinate, telling us the number of units to the right (positive) or left (negative) of the origin and by the second number, called the y-coordinate, telling us the number of units up (positive) or down (negative) from the origin.
A rectangular garden is 6 ft longer than it is wide. Its area is 667 ft2. What are its dimensions?
The dimensions of the rectangular garden are 29 feet by 23 feet .
A rectangle is a quadrilateral with parallel opposite sides and equal angles. There are a lot of rectangular objects all around us. Any rectangular form's two defining characteristics are its length and width. A rectangle's longer and shorter sides are its width and length, respectively.
The area of a rectangle is given by length × width
Now the given area of the rectangle is 667 ft² .
Let the width of the rectangle is x ft. Therefore length = x + 6
Now area of the rectangle is x (x+6) = x² + 6 x
Therefore x² + 6 x = 667
or, x² + 6 x - 667 = 0
or, (x-23)(x+29) = 0
Either x = 23 or x = -29(not possible)
Hence the width is 23 feet.
Length = 23 + 6 = 29 feet
Therefore the dimensions of the rectangle are 29 feet by 23 feet .
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PLEASE HELP
5|12-r|>15
Step-by-step explanation:
5.|12 - r| > 15
|12 - r| > 15/5
|12 - r| > 3
12 - r < -3 or 12 - r > 3
-r < -3 - 12 or -r > 3 - 12
-r < -15 or -r > -9
r > 15 or r < 9
Line A and Line B are parallel. Line P is a transversal. If the measure of angle 8 is 140°, find the measures of the rest of the angles in the diagram. Then tell what the angle relationship is to angle 8.
The angle measures are;
Angle 7 is 40° = Angles 8 : supplementary
Angle 3 is 40° = Angles 8: supplementary angles
Angle 5 = 140° = Angle 8; corresponding angles
Angle 1 = 140° = Angle 8; corresponding angles
Angle 6 = 40° = Angle 8; supplementary angles
Angle 2 = 140° = Angle 8; corresponding angles
Angle 4 = 140° Angle 8; corresponding angles
How to determine the anglesGiven that angle 8 measures 140 degrees
It is important to note that angles on a straight line equals 180 degrees
Then,
angle 7 + angle 8 = 180°
Substitute the values of angle 8
Angle 7 + 140 = 180
Angle 7 = 180 - 140
Angle 7 = 40°
Thus, If angle 7 is 40° then angle 3 is 40°, corresponding angles
Angle 5 = Angle 8; corresponding angles
Angle 1 = Angle 8; corresponding angles
Angle 6 = Angle 7; corresponding angles
Angle 2 = Angle 8; corresponding angles
Angle 4 = Angle 8; corresponding angles
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What proportion of people surveyed would be willing to pay more than $6.75 for a sandwich?
The proportion of people surveyed would be willing to pay more than $6.75 for a sandwich is 94.4%.
What is termed as normal distribution?The normal distribution, also recognized as the Gaussian distribution, is a symmetric probability distribution about the mean, indicating that data near the mean occur more frequently than data far from the mean.
Early statisticians started to notice the same shape recurring in different distributions and designated it the normal distribution. Normal distributions are distinguished by their symmetric bell shape. The mean and median are the same; they are both in the middle of the distribution.As, for the given value in the question;
The formula for finding the z-score is;
z = (x - μ)/s
where,
n = sample size ( = 528)
σ = standard deviation ( = 1.19)
μ = mean of the sample (= 6.56)
Put the values and fine z-score.
z = (x - μ)/s
z = (6.75 - 6.56)/1.19
z = 0.19/1.19
z = 0.159
For the probability; see the p-value from the positive z-score table.
p(z > 0.159) = 0.944
p(z > 0.159) = 94.4%
Thus, the probability that the people would be willing to pay more than $6.75 for a sandwich is calculated as 94.4%.
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The complete question is -
A sample of 528 people were asked how much they would be willing to pay for a sandwich. Their responses were approximately normal with a mean of $6.56 and a standard deviation of $ 1.19.
What proportion of people surveyed would be willing to pay more than $6.75 for a sandwich?
help asap question in picture
[tex] \: \Large \mathbb{SOLUTION:}[/tex]
[tex] \: \: \rm{ \bigg( - \frac{5}{3} \bigg) {}^{2} } \\ [/tex]
[tex] \: \: \text{Determine the sign for exponential or radical expreasions}[/tex]
[tex] \: \: \rm{ \bigg( \frac{5}{3} \bigg) {}^{2} } \\ [/tex]
[tex] \: \: \text{Calculate the power}[/tex]
[tex] \: \: \rm \boxed{ \frac{25}{9} } \\ [/tex]
[tex] \frac{25}{9} \\ [/tex]
Solution:Determine the sign
[tex]( -\frac{5}{3} ) {}^{2} [/tex]
[tex]( \frac{5}{3} ) {}^{2} [/tex]
[tex] \frac{5 {}^{2} }{3 {}^{2} } \\ [/tex]
[tex] \frac{25}{3 {}^{2} } \\ [/tex]
[tex] \frac{25}{9} \\ [/tex]
Please help, I don’t know how to solve this!
Algebra (4224_EOZ1)
HW Score: 88.89%, 16 of 18 points
O Points: 0 of 1
By air, the distance from city A to city B is 3003 miles less than the distance from city C to city D. If the total of these two distances is 7827 miles, find the distance from city C to city D
ework 2: 3.3 & 3.4
Brooke Conti
Question 14, 3.4.35
09/06/22 7:12
The Distance between city C and city D is 5405 miles.
Given that Distance from city a to city b is 3003 miles less than the Distance fron city c to city d, the total of these two Distance is 7807 miles and asked to find Distance between city C and city D.
Given that,
(d-c)-(b-a)=3,003 miles { (Distance between city D and city C)-(Distance between city A and city B)} Let's assume it as equation A
(d-c)+(b-a)=7,807 miles { (Distance between city D and city C)+(Distance between city A and city B)} Let's assume it as equation B
Add equation A and B
2(d-c)=10,810
(d-c)=5,405
Hence,Distance between city D and city C is 5,405
Therefore,The Distance between city C and city D is 5405 miles.
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Which of the following could be the rectangle's length and width?
(Area = length x width)
Choose all answers that apply:
A) 1 cm and 15 cm
B) 2 cm and 7 cm
C) 3 cm and 5 cm
D) 4 cm and 4 cm
The possible rectangle's length and width are A) 1 cm and 15 cm and C) 3 cm and 5 cm
How to determine the possible rectangle's length and width?The given parameters are
Area = 15 square cm
The area is given as
Area = 15 square cm
The formula of area is
Area = Length x Width
Using the above formula, we have:
A) 1 cm and 15 cm ⇒ 15 square cm
B) 2 cm and 7 cm ⇒ 14 square cm
C) 3 cm and 5 cm ⇒ 15 square cm
D) 4 cm and 4 cm ⇒ 16 square cm
Hence, the possible rectangle's length and width are A) 1 cm and 15 cm and C) 3 cm and 5 cm
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Possible question
The area of a rectangle is 15 square cm
Which of the following could be the rectangle's length and width?
(Area = length x width)
Choose all answers that apply:
A) 1 cm and 15 cm
B) 2 cm and 7 cm
C) 3 cm and 5 cm
D) 4 cm and 4 cm
SO
129193ni-algmiz srit of
Kings Park Bank is advertising a special 1.66% APR for CDs. Kevin takes out a one-year CD
$24,000. The interest is compounded daily. Find the APY for Kevin's account.
wh
Sissy ono to brie ed is thus torni aver verdha lliw roum woh
5.00%
APY for Kevin's account = 1.67%
The interest on a loan or deposit that is computed based on both the original principle and the accumulated interest from prior periods is known as compound interest (also known as compounding interest). Compared to simple interest, which is computed just on the principal amount, it will cause a sum to increase more quickly.
The frequency of compounding determines the pace at which compound interest accumulates. The compound interest increases with the number of compounding periods.
APY = [tex](1 + \frac{r}{n})^{n} - 1[/tex] = [tex](1 + \frac{1.667}{365})^{365} - 1[/tex] = 1.0167 - 1 = 0.0167
APY = 1.67%
Therefore, APY for Kevin's account = 1.67%
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