Answer:
Without coupon: 44 baseballs
With coupon: 56 baseballs
Step-by-step explanation:
Amount that Amir got as a birthday present = $100Cost of pitching machine = $44Amount left over for buying baseballs = 100 - 44 = $56Cost of each baseball without coupon = $1.25Number of baseballs that Amir can buy at $1.25 per baseballIf the coupon works, the cost per baseball is reduced by 20%20% = 20/100 = 0.2 in decimalDiscount in $ at 20% discount = 1.25 x 0.2 = $0.25Cost after discount = $1.25 - $0.25 = $1Therefore number of baseballs that can be bought with coupon
Can someone please help? I just don’t understand thank you.
The simplified form of the given expression is 1. Using the trigonometric functions sin b = 7/25.
What is Pythagorean identity?The Pythagorean identity is a trigonometric identity that relates the values of sine and cosine of an angle in a right triangle.
According to question:a)Given cos(b) = 24/25, we can use the Pythagorean identity to find sin(b):
sin(b) = √(1 - cos²(b))
= √(1 - (24/25)²)
= √(1 - 576/625)
= √(49/625)
= 7/25
Now we can use the definitions of the trigonometric functions to find the remaining values:
cos(b) = 24/25
sin(b) = 7/25
tan(b) = sin(b)/cos(b) = (7/25)/(24/25) = 7/24
csc(b) = 1/sin(b) = 25/7
sec(b) = 1/cos(b) = 25/24
cot(b) = 1/tan(b) = (24/7)
b) By simplifying the given expression using the identity:
[tex]tan x = sin x / cos x[/tex]
[tex]cos x+sinxtanx=cosx+sinx(sinx/cosx)[/tex]
By multiplying through by cos x,
cos² x + sin x sin x = cos² x + sin²x
Using the identity sin² x + cos² x = 1,
cos² x + sin² x = 1
cos x + sin x tan x = 1
The simplified form of the given expression is 1.
c) tan²α(csc²α-1)=1 for all values of α where csc α ≠ 0.
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SOLUTION
Which ratio is equivalent to 3 : 18?
Answer:
6:36
this is when you time both by 2.
The ratio is equivalent to 3:18 is 7:42.
What is Ratio?A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.
Given:
Ratio = 3:18
= 1:6
1. 6:21
= 3:7
2. 5:20
= 1:4
3. 7:42
= 1:6
4. 12:2
= 6:1
Hence, the ratio is equivalent to 3:18 is 7:42.
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Brainliest for correct answer
Answer:
D
Step-by-step explanation:
2ft×6ft=12ft
12ft÷2=6
6×2=12ft for the two triangles
6×4=24ft for the rectangle
24ft+12ft= 36 square feet
so it's D 36 square feet
Answer:
[tex]\huge\boxed{\sf 36 \ ft.\²}[/tex]
Step-by-step explanation:
Given that,
Base = 2 + 4 = 6 ft.
Height = 6 ft.
Area of parallelogram:= Base × Height
= 6 × 6
= 36 ft.²[tex]\rule[225]{225}{2}[/tex]
Write the pair of fractions has a pair of fractions with the common denominator 1/3 and 3/4
Answer:
4/12 and 9/12
Step-by-step explanation:
Determine the domain and range
Step-by-step explanation:
To determine the domain and range of (g f) (x), we first need to find the composition of the functions f(x) and g(x):
(g f) (x) = g(f(x)) = g(2/(x^2-1)) = 2/(x^2-1) + 1
The domain of f(x) is all real numbers except x = -1 and x = 1, since these values would make the denominator equal to zero. Therefore, the domain of (g f) (x) is also all real numbers except x = -1 and x = 1.
To find the range of (g f) (x), we can start by finding the range of f(x). Since the denominator of f(x) is always positive (except at x = -1 and x = 1), the range of f(x) is all real numbers except 0.
When we add 1 to f(x), we shift the range of f(x) up by 1 unit. So, the range of (g f) (x) is all real numbers except 1.
Therefore, the domain of (g f) (x) is all real numbers except x = -1 and x = 1, and the range of (g f) (x) is all real numbers except 1.
Option B
Tan (30,000)
5. One of the steepest streets in the United States is the 500 block of Highland Drive on Queen
Ann Hill in Seattle. If you measure horizontally 70 centimeters from a point on the road
surface, you must go down 14.2 centimeters to get back to the surface. What angle does
Highland Drive make with the horizontal?
A
14.2
=(80)
70
O
tant = 70
14.2
0=78.5%
112.455 =X
(cv) mot
P. Joj
Therefore , the solution of the given problem of trigonometry comes out to be forms an angle with the horizontal of about 11.71 degrees.
A Trigonometry is what?A relationships between cubic splines and triangle maths astrophysics is believed to have been created when the various fields came together. Many metric problems can be solved or the results of their calculation can indeed be determined with the help of precise mathematical methods. Trigonometry is the study of six basic trigonometric calculations. .
Here,
The tangent function, which is referred to as the ratio of the opposite side (the height drop) to the adjacent side, can be used to determine the angle that Highland Drive forms with the horizontal (the horizontal distance).
The angle's tangent in this situation can be written as:
=> tan(θ) = adjacent/opposite = 14.2/70
We can use a computer to determine that the angle's tangent is roughly 0.2029.
By taking the inverse tangent (also referred to as the arctangent) of this number, we can determine the angle itself:
=> 11.71 degrees are equal to theta = arctan(0.2029)
Highland Road thus forms an angle with the horizontal of about 11.71 degrees.
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4/5 is greater, less than, or equal to 8/10?
Answer: 4/5 is equal to 8/10
Step-by-step explanation:
A newsgroup is interested in constructing a 99% confidence interval for the difference in the proportions of Texans and New Yorkers who favor a new Green initiative. Of the 553 randomly selected Texans surveyed, 391 were in favor of the initiative and of the 529 randomly selected New Yorkers surveyed, 462 were in favor of the initiative.
a. With 99% confidence the difference in the proportions of Texans and New Yorkers who favor a new Green initiative is between
(round to 3 decimal places) and
(round to 3 decimal places).
b. If many groups of 553 randomly selected Texans and 529 randomly selected New Yorkers were surveyed, then a different confidence interval would be produced from each group. About
percent of these confidence intervals will contain the true population proportion of the difference in the proportions of Texans and New Yorkers who favor a new Green initiative and about
percent will not contain the true population difference in proportions.
Thus, there is a 99% chance that the gap between Texas and New equation Yorkers' support for a new green programmed is between -0.218 and -0.114.
What is equation?A mathematical equation links two statements and utilises the equals sign (=) to indicate equality. In algebra, an equation is a mathematical assertion that proves the equality of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign separates the numbers by a gap. A mathematical formula may be used to determine how the two sentences on either side of a letter relate to one another. The logo and the particular piece of software are usually identical. like, for instance, 2x - 4 = 2.
a. Using the method below, we can create a 99% confidence interval for the difference between the percentages of Texas and New Yorkers who support a new green initiative:
CI is equal to[tex](p1 - p2) (p1(1-p1)/n1 + p2*(1-p2)/n1) \sqrt.[/tex]
where: 391/553 = 0.7077, where p1 is the percentage of Texans that support the measure.
462/529 = 0.8737, where p2 is the percentage of New Yorkers who support the measure.
n1 is the sample size for Texas, which is 553; n2 is the sample size for New Yorkers, which is 529; and z is the z-score, which is 2.576 at 99% confidence level.
CI is calculated as[tex](0.7077 - 0.8737) 2.576\sqrt(0.7077(1-0.7077)/553 + 0.8737*(1-0.8737)/529).[/tex]
CI = (-0.166 ± 0.052)
Thus, there is a 99% chance that the gap between Texas and New Yorkers' support for a new green programme is between -0.218 and -0.114.
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MY NOTES
Electric current measures (in amperes or amps) the flow of electrons through wires. Like traffic flow, the current entering an intersection of wires must equal the current leaving it. Here is an
electrical circuit known as a Wheatstone bridge.
By measuring z, we can determine x, y, and w.
By measuring w, we can determine x, y, and z.
X
ASK YOUR TEACHER
(a) If the currents in two of the wires are a 18 amps and b-9 amps as shown, determine the currents in the other wires in terms of suitable parameters. (If there is no solution, enter NO
SOLUTION. If the system is dependent, express your answer using the parameters x, y, z, and/or w.)
(x, y, z, w) -
(b) Using the information obtained in part (a), in which wire should you measure the current in order to know all of the currents exactly? (Select all that apply.)
By measuring x, we can determine y, z, and w.
By measuring y, we can determine x, z, and w.
Need Help?
Read t
PRACTICE ANOTHER
Answer:
Step-by-step explanation:
(a) Since the current entering and leaving the intersection of wires must be equal, we have:
x + y = 18 (current entering the top intersection)
z + w = 18 (current leaving the top intersection)
x + z = 9 (current entering the bottom intersection)
y + w = 9 (current leaving the bottom intersection)
We can solve this system of equations using substitution or elimination. For example, we can eliminate w by adding the first two equations and subtracting the last two equations:
2x + 2y + 2z = 36
2y + 2z - 2x = 0
2z - 2x = 9
Solving for z in terms of x, we get:
z = (x + 9/2)
Substituting this into the first equation, we get:
x + y = 18
Substituting z in terms of x into the second equation, we get:
w = (18 - z) = (18 - x - 9/2) = (27/2 - x)
Therefore, the solution in terms of x, y, z, and w is:
(x, y, z, w) = (x, 18 - x, x + 9/2, 27/2 - x)
(b) To know all of the currents exactly, we need to measure the current in any one wire that is not already determined by the system of equations. From part (a), we see that w is determined in terms of x, y, and z. Therefore, we should measure the current in wire x or y to know all of the currents exactly.
Yayayayayayayavpleas e help
Answer:
<1 and <2 - Add to 180
<1 and <3 - Equal
<3 and <4 - Add to 180
<2 and <4 - Equal
Step-by-step explanation:
No such step-by-step explanation, but we can reason with theorems.
The Vertical Angle theorem states: the opposing angles of two intersecting lines must be congruent, or identical in value.
The Linear Pair theorem states: If two angles form a linear pair, then the measures of the angles add up to 180°.
<1 and <2
<3 and <4
These angle pairs criteria make them apply to the Linear Pair theorem. Therefore, when a pair of angles are a linear pair, they add up to 180.
<1 and <3
<2 and <4
These angle pairs' criteria make them apply to the Vertical Angle Theorem. Therefore, when a pair of angles are vertical angles, they will be congruent (equal, have the same measure).
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Brainliest for correct answer
Answer:
b.40.3 ft2 is the answer hope it helps u u u BRAINLIST
Answer:
D. 41.7 ft.^2
Step-by-step explanation:
rectangle area: 5.2 x 6= 31.2
triangle area: (6 x 3.5)/2=10.5
31.2+10.5= 41.7
Write the fraction as a sum of fractions three ways 7/10
First three sum 1/10 + 2/10 + 4/10 Proof: When the numbers in the denominator have the same value, fractions can be compute only with the sum of numerator values and the denominator doesn’t change. 1/10 + 2/10 + 4/10 = 1+2+4 / 10 = 7/10 Second three sum 1/10+1/5 + 2/5, Proof: such kind of fractions can be computed as follows: 1/10 + (1+2 )/5 (same denominators). 1/10 + (1+2 )/5= 1/10 + 3/5= 5x1 +10x3 / 5x10 = 5+30 /50 =35/50, by simplifying by 5, 35/50=7/10 The third three sum is 5/10+ 3/15+8/20,it can be computed by using the same method as given above
Hope it helps
A doctor orders a prescription that has a recommended dosage of 5 mg/lb every 12 hours. Our supply of the drug is a 0.9 g/mL solution. The patient is 72.7 kg. How many mL of the solution should we use for each dose?
The doctor should order a prescription of 0.8906 mL of the 0.9 g/mL solution for each dose.
What is the density?
Density is a physical property of matter that measures the amount of mass per unit volume. It is calculated by dividing the mass of an object or substance by its volume. The resulting number represents the amount of matter, or mass, that is present in a given volume.
The formula for density is:
Density = Mass / Volume
First, we need to convert the weight of the patient from kilograms to pounds, as the recommended dosage is in mg/lb:
72.7 kg x 2.205 lbs/kg = 160.305 lbs
The recommended dosage is 5 mg/lb, so for a 160.305 lbs patient, the total dosage per dose would be:
160.305 lbs x 5 mg/lb = 801.525 mg
Now we need to convert this dosage from mg to mL, using the concentration of the solution, which is 0.9 g/mL:
1 g = 1000 mg, so 0.9 g = 0.9 x 1000 = 900 mg
To convert mg to mL, we can use the density formula:
Density = Mass / Volume
Rearranging the formula to solve for volume, we get:
Volume = Mass / Density
So, the volume of solution needed for each dose would be:
Volume = 801.525 mg / 900 mg/mL
Volume = 0.8906 mL
Hence, the doctor should order a prescription of 0.8906 mL of the 0.9 g/mL solution for each dose.
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Find the remaining sides of a 45°-45°-90° triangle if the longest side is 4. Answer exactly.
Answer:
each of the other sides is 2√2 = 2.8284
Step-by-step explanation:
A 45°- 45°-90° triangle is also known as a right isosceles triangle because two of the legs are the same as two of the angles are the same at 45°
If a is the length of one of the legs then the hypotenuse, h, which is the longest side is given by the equation
[tex]h = \sqrt{a^2 + a^2}\\\\h = \sqrt{2a^2}\\\\h = a \sqrt{2}[/tex]
Or, dividing by √2 on both sides,
[tex]\dfrac{h}{\sqrt{2} }= a[/tex]
Given h = 4
[tex]a =\dfrac{ 4}{\sqrt{2}} = \dfrac{2\cdot2}{\sqrt{2}} = 2\sqrt{2} \quad\quad\quad(since $\dfrac{2}{\sqrt{2}}$ = \sqrt{2}})[/tex]
a = 2√2 = 2.8284
So each of the other sides is 2√2 = 2.8284
Using a random sample from a population, Hazel cannot decide if she wants to construct a 92 percent confidence interval for the population mean or a 98 percent confidence interval for the population mean. What is the difference between the two confidence intervals? (4 points)
The difference between the 92% confidence interval and the 98% confidence interval is that the 98% confidence interval for the population mean is wider than the 92% confidence interval for the population mean.
What is a z-distribution confidence interval?The bounds of the confidence interval are given by the rule presented as follows:
[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.z is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the population.The margin of error is given as follows:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
Increasing the confidence level, the value of z is increased, hence the margin of error is also increased and thus the 98% confidence interval for the population mean is wider than the 92% confidence interval for the population mean.
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Evaluate the expression 1/3x2 For x=6
The value of the expression 1 / 3x² when x equals 6 is 1/108.
What is the value of the expression when x equals 6?Given the expression in the question;
1 / 3x²
When x = 6, value of expression = ?
The expression 1 / 3x² is a mathematical formula that involves the variable "x".
When we substitute x = 6 into the expression, we are asked to calculate the value of the expression when x is equal to 6.
To evaluate the expression, we simply substitute x = 6 into the expression and simplify:
1 / 3x²
Plug in x = 6
1 / 3(6)²
Raise 6 to the power of 2 and get 36
= 1/(3 × 36)
= 1/108
Therefore, the value of the expression is is 1/108.
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10. Let's simplify = 3³- 3²-3.
Answer:
15.
Step-by-step explanation:
Given: simplify 3³- 3²-3
First, write the equation:
3³- 3²-3
Then using BODMAS, complete the 'power of' numbers:
27 - 9 - 3
Then subtract 27 from 9:
18 - 3
Finally subtract 18 from 3:
= 15
[tex] \: [/tex]
Solution:-[tex] \sf \: 3³ - 3² - 3[/tex][tex] \: [/tex]
[tex] \sf \: 27 - 9 - 3[/tex][tex] \: [/tex]
[tex] \sf \: 18 - 3[/tex][tex] \: [/tex]
[tex] \underline{ \boxed{ \sf{ \color{orange} \: 15 \: }}}[/tex][tex] \: [/tex]
━━━━━━━━━━━━━━━━━━━━━━━━━━
hope it helps! :)
1. Find the average of 16, 50, 14, 20 and 40.
Answer:
28
Step-by-step explanation:
you add up all the numbers and divide by the number of numbers there is
16+50+14+20+40=140
140/5=28
helppppppppppp
LORAN is a long range hyperbolic navigation system. Suppose two LORAN transmitters are located at the coordinates and , where unit distance on the coordinate plane is measured in miles A receiver is located somewhere in the first quadrant. The receiver computes that the difference in the distances from the receiver to these transmitters is 180 miles.
What is the standard form of the hyperbola that the receiver sits on if the transmitters behave as foci of the hyperbola?
The coordinates of the receiver are (x, y) = (10, 5), and the standard form of the hyperbola is x² - 20x + 212.5 = 0.
What is a hyperbola?A hyperbola is the location of all the points on a plane whose distances from two fixed points in the plane differ by an amount that is always constant. The centre, represented by O in the above diagram as the centre of an ellipse, is where two foci are connected by a line segment when they are united by a line segment. The transverse axis of the hyperbola is the line segment that passes across both foci.
From the given situation we have,
The length of the transverse axis is 180/2 = 90 miles.
Using the distance formula between the two transmitters we have:
d1 = √((x - 5)² + y²)
d2 = √((x + 5)² + y²)
Now, the equation of d is:
|d1 - d2| = 90
Simplifying and squaring both sides, we get:
(d1 - d2)² = 8100
Substituting the expressions for d1 and d2 and expanding, we get:
[(x - 5)² + y² - (x + 5)² - y²]² = 8100
-40x² + 800x - 400 = 8100
-40x² + 800x - 8500 = 0
Dividing by -40, we get:
x² - 20x + 212.5 = 0
d1 = √((x - 5)² + y²) = √((7.5)² + y²)
d2 = √((x + 5)² + y²) = √((2.5)² + y²)
Substituting d1 - d2 = 90/2 = 45 and simplifying, we get:
y² - 50y + 450 = 0
Solving for y:
We get y = 5 or y = 45.
Since the receiver is in the first quadrant, we take y = 5.
Therefore, the coordinates of the receiver are (x, y) = (10, 5), and the standard form of the hyperbola is x² - 20x + 212.5 = 0.
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what is 2x32+5x20,ωωωωωω,,,,,,,,,,
Answer:
164
Step-by-step explanation:
Brainliest for correct answer
Answer:
Step-by-step explanation:
Area of a triangle = 1/2 * b * h. 1/2 * 9 * 2; 9 * 1 = 9.
Area of a rectangle is two triangles, so b * h. We use the same base and height from the triangle. b * h; 9 * 2 = 18.
So the correct answer would be C. Hope this helps.
What is 521.3215 rounded to the nearest hundredth
Answer:521.32
Step-by-step explanation:
.3 represents your tenths
the 2 in .32 represents your hundredths
to round, you look at the number next to your two on the right which is 1
since 1 is less than 5 you leave it the same and eliminate the rest of the numbers that follow it
A daycare center has a weekly revenue of $18,000. The daycare director has created a monthly budget using the following percentages for expenses:
Sorry but I think the question is not completed, can you reupload the question properly? I'll answer it
Whats the prime factorization of 9. Use exponents when appropriate and order the factors from least to greatest (for example, 2235).
Answer:
9 = 3 x 3
Explanation:
There are nine balls in an urn. They are identical except for color. Three are red, five are blue, and one is yellow. You are to draw a ball from the urn, note its color, and set it aside. Then you are to draw another ball from the urn and note its color.
(a)
Make a tree diagram to show all possible outcomes of the experiment.
(b)
Let P(x, y) be the probability of choosing an x-colored ball on the first draw and a y-colored ball on the second draw. Compute the probability for each outcome of the experiment. (Enter your answers as fractions.)
P(R, R) =
P(R, B) =
P(R, Y) =
P(B, R) =
P(B, B) =
P(B, Y) =
P(Y, R) =
P(Y, B) =
Answer: Diagram (B)
We have a total number of balls in the urn =9
Let us denote the red ball as R = 4
Solve the following equation by completing the square.
Solving the equation by completing the square gives the solution as;
x = (6, -10)
How to solve equation by completing the square?The equation we are given to complete the square is;
x² + 4x = 60
Add half the square of half of the coefficient of x to both sides to get;
x² + 4x + (4/2)² = 60 + (4/2)²
x² + 4x + 4 = 64
Writing left hand side as a perfect square gives;
(x + 2)² = 64
Taking square root of both sides gives;
x + 2 = ±8
x = -2 ± 8
x = (6, -10)
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How much would 3 computers, 6printers, and 30 cd’s cost ?
The total cost of 3 computers, 6 printers, and 30 CD’s will depend on the specific combinations of each type of product. However, as an estimate, you can expect to pay anywhere from $1,000 to $4,000 depending on the quality of the products you purchase.
What is cost?Cost is the amount of money that must be paid for goods or services. It can refer to the price of a single item, the total expense of a purchase, or the amount of money paid for a particular service. Cost is an important factor in calculations such as profit, budgeting, and pricing. It is also a factor in determining the value of goods and services when comparing different providers.
The total cost of 3 computers, 6 printers, and 30 CD's would depend on the type of products you are looking to purchase. Computers will vary in price depending on the make and model, as well as the features included. For example, a basic laptop might cost anywhere from $200 to $400, while a high-end gaming laptop could cost upwards of $2,000. Similarly, printers also vary in price depending on the features and type, ranging from $50 to $500. CDs can cost anywhere from $0.50 to $7.00 each, depending on the type and quality.
Therefore, the total cost of 3 computers, 6 printers, and 30 CD’s will depend on the specific combinations of each type of product. However, as an estimate, you can expect to pay anywhere from $1,000 to $4,000 depending on the quality of the products you purchase.
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amy and Brian want to fence in a circular portion of there backyard for a play space for their children. determine the area of the largest portion of the yard they can with 90 feet of fencing
The largest portion of the yard they can fence in with 90 feet of fencing has an area of 2025/π feet².
Explain area of circular portion?
The area of a circular portion is the amount of space within the boundary of the circular shape. It is given by the formula A = πr², where r is the radius of the circle.
Now,
To determine the area of the largest portion of the yard, we need to find the radius of the circular portion.
The circumference of a circle is 2πr. Since they have 90 feet of fencing, we can write:
90 = 2πr
Solving for r, we get:
r = 45/π
The area of the circular portion is given by the formula A = πr². Substituting r, we get:
A = π(45/π)² = 2025/π feet²
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Evaluate the following piece wise function.
Find the following values:
F(4) =
F(-10) =
F(0) =
F(-5) =
13/4 is the value of x in function .
What exactly are function and example?
A function is a type of rule that produces one output from one input. This is illustrated by the equation y=x2. You only get one output for y if you enter anything for x.
Considering that x is the input value, we would state that y is a function of x.
f(x) = { 5; x< 1 }
{ -1/2x + 4 ; x≥ 1 }
f(4) = { -1/2 * 4 + 4 }
= { -2 + 4 }
= { 2 }
f( -10) = { -1/2 * -10 + 4 }
= { 5 + 4 }
= 9
f(0) = { -1/2 * 0 + 4 }
= { 0 + 4}
= 4
f(-5) = ( -1/2 * - 5 + 4 )
= 5/2 + 4
= 13/4
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QUESTION 9
Consider the following argument: If Benji's parents buy him a puppy for Christmas, he learns important care-giving skills.
Benji learns important care-giving skills. So, Benji's parents buy him a puppy for Christmas. What is the logical form of
this argument?
O a. Modus Ponens
O b. Hypothetical Syllogism
O c. Disjunctive Syllogism
O d. Denying the antecedent
O e. Affirming the consequent
e. Affirming the Consequent. The argument takes the form of "If P then Q. Q, therefore P."
What is Consequent?Consequent is an outcome or result of an event, action, or decision. It is the result of a cause or premise. Consequents are usually expected and predictable, and can be measured or observed. Consequents are important in the study of cause and effect relationships and can be used to determine the success or failure of certain actions. Consequents can also be used to measure the degree of success or failure of certain objectives. Consequents are often used in decision-making, as well as in research and problem-solving, to help determine the best course of action and the best solution.
In other words, the conclusion (Benji's parents buy him a puppy for Christmas) is based on the premise that Benji learns important care-giving skills.
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