Answer:
ok
but why?
hmm
Wyatt was out at a restaurant for dinner when the bill came. He wanted to leave a tip of 19%. What number should he multiply the cost of the meal by to find the total plus tip in one step?
Answer:
The cost of the meal should be multiplied by 1.19.---------------------------------------
Let the cost of the meal be x.
Adding a tip of 19%:
x + 19% = x + 0.19x = x (1 + 0.19) = 1.19xAnswer:
Wyatt should multiply with 1.19.
Step-by-step explanation:
Forming the expression,
→ 1 + (19% of 1)
Now the required number is,
→ 1 + (19% of 1)
→ 1 + ((19/100) × 1)
→ 1 + (19/100)
→ 1 + 0.19 = 1.19
Hence, required number is 1.19.
Given circle E with diameter CD and radius EA. AB is tangent to E at A. If AB=6 and EB=8 , solve for EA.
Answer: The triangle ACD is the right angle since it is a triangle in a semicircle. The length of AC from the diagram is 21.9feet
Step-by-step explanation:
Application of pythagoras theorem
The theorem states that the square of the hypotenuse is equal to the square of the other two sides
From the given circle, the triangle ACD is right angle since it is a triangle in a semicircle
Given the following
Hypotenuse = 26 feet = CD
Base side = AD = 14ft
Required
Length AC
Use the theorem
26^2 = 14^2 + AC^2
AC^2 = 676 - 196
AC^2 = 480
AC = 21.9feet
Hence the length of AC is 21.9feet
PLEASE HELP ME! It’s easy I just don’t remember.
Answer:
Solve the trigonometric equation by isolating the function and then taking the inverse. Use the period to find the full set of all solutions.
θ=arccot(x/o)
A quality-control manager randomly selects 80 bottles of soda that were filled on March 11 to assess the calibration of the filling machine. What is the sample in the study?
Answer:
The sample is the 80 bottles that were randolmy selected on March 11.
Step-by-step explanation:
Is this a false or true statement? Extrapolation is the use of the regression line to estimate a mean of y-values for an x-value that is far outside the x-range of data.
This is False in light of the stated statement. due to the employment of a regression line to calculate the mean of y for x that are outside the x-range of the data.
How is regression calculated?Y = mX + b, where X is the predictive (independent) factor, m is really the approx slope, and b is the expected intercept, is the methodology for simple linear regression.
What makes regression math so special?Regress, from whence the word "regression" is derived, means "to go back" in Latin (to something). Regression is the method that enables "going back" from muddled, challenging data to a clearer and more significant model in this manner.
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What is angle
Enter your answer in the box
Answer:
CAB is 37 degrees
Step-by-step explanation:
90 + 53 = 143
180 - 143 = 37
I need this answered quick. What sum is represented by the following number line?
Answer:
2\(\frac{3}{4} + -4\frac{1}{4} = -1\frac{2}{4}\)
Step-by-step explanation:
The initial position of the blue line is 2 and 3/4. The final position (represented by the red line) is -1 and 1/2. 2 and 3/4 - 4 and 1/4 is the only thing you can subtract to get -1 and 2/4.
Answer:
2 3/4 +(-3 1/4)= -1 2/4
Step-by-step explanation:
hope you get it right
A printer has a contract to print 100,000 posters for a political candidate. He can run the posters by using any number of plates from 1 to 30 on his press. If he uses x metal plates, they will produce x copies of the poster with each impression of the press. The metal plates cost $20.00 to prepare, and it costs $125.00 per hour to run the press. If the press can make 1000 impressions per hour, how many metal plates should the printer make to minimize costs
Answer:
25
Step-by-step explanation:
From the given information;
Numbers of posters that can be printed in an hour = no of impression/hour × no of plate utilized in each impression.
= 1000x
Thus, the required number of hours it will take can be computed as:
\(\implies \dfrac{100000}{1000x} \\ \\ =\dfrac{100}{x}\)
cost per hour = 125
If each plate costs $20 to make, then the total number of plate will equal to 40x
∴
The total cost can be computed as:
\(C(x) = (\dfrac{100}{x}) \times 125 + 20 x --- (1)\)
\(C'(x) = (-\dfrac{12500}{x^2}) + 20 --- (2)\)
At C'(x) = 0
\(\dfrac{12500}{x^2} = 20\)
\(\dfrac{12500}{20} = x^2\)
\(x^2= 625\)
\(x = \sqrt{625}\)
x = 25
\(C'' (x) = -12500 \times \dfrac{-2}{x^3} +0\)
\(C'' (x) = \dfrac{25000}{x^3}\)
where; x = 25
\(C'' (x) = \dfrac{25000}{25^3}\)
C''(x) = 1.6
Thus, at x = 25, C'' > 0
As such, to minimize the cost, the printer needs to make 25 metal plates.
Use A=Pe^rt to solve
Find the accumulated value of an investment of $3000 at 4% compounded annually for 12 years.
A) $4618.36
B) $4320.00
C) $4440.00
D) $4803.10
Answer:
a
Step-by-step explanation:
Explain in detail using words the step by step process that Maggie took to solve the problem 6.89 x 10^-4 / 7.5 x 10^-6 = .92 x 10^1
The steps in solving the given expression shows that the result is:
0.92 * 10²
How to use Laws of Exponents?The expression is given as:
6.89 * 10⁻⁴/(7.5 * 10⁻⁶) = 0.92 * 10¹
The steps that Maggie followed are:
Step 1: Rewrite the given expression:
6.89 * 10⁻⁴/(7.5 * 10⁻⁶) = 0.92 * 10¹
Step 2: Divide the coefficients:
The coefficient of the numerator (6.89) is divided by the coefficient of the denominator (7.5) to get:
6.89 / 7.5 = 0.9186667.
Step 3: Divide the powers of 10:
This is done by subtracting the exponent of the denominator 10⁻⁶ from the exponent of the numerator 10⁻⁴ to get: 10²
Step 4: Combine the results:
This gives:
0.9186667 * 10²
Step 5: Simplify the coefficient:
She rounded the coefficient (0.9186667) to two decimal places, resulting in 0.92.
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Oscar ran the 100-yard dash in 12.65 seconds. Jesiah ran the 100-yard dash in 11.57 seconds.
How many seconds faster was Jesiah's time than Oscar's time?
Jesiah's time was faster than Oscar's time by seconds.
Answer:
Jesiah's time was faster than Oscar's time by 1.08 seconds.
Step-by-step explanation:
To find how much faster Jesiah ran than Oscar, subtract Oscar's time with Jesiah's time.
12.65 - 11.57 = 1.08
Jesiah was faster than Oscar by 1.08 seconds.
Good luck ^^
Find the midpoint of the line segment with the given endpoints: (6, -5) and (2, 1) *
I just need to quickly know if my answers are correct thank you!
1) All of these questions are about evaluating those functions for each input.
9) So, let's check them out evaluating each one.
\(\begin{gathered} f(4)\Rightarrow f(x)=(\frac{1}{2}x)+13 \\ f(4)=(\frac{1}{2}\cdot4)+13 \\ f(4)=2+13\Rightarrow f(4)=15 \\ D \end{gathered}\)10)
\(\begin{gathered} f(x)=\frac{3}{5}x-10 \\ f(5)=\frac{3}{5}(5)-10 \\ f(5)=3-10 \\ f(5)=-7 \end{gathered}\)11)
\(\begin{gathered} f(x)=x^2+7 \\ f(-1)=(-1)^2+7\Rightarrow f(-1)=1+7\Rightarrow f(-1)=8 \end{gathered}\)12)
\(\begin{gathered} f(x)=3x^3-12x^2 \\ f(2)=3(2)^3-12(2)^2 \\ f(2)=24-48 \\ f(2)=-24 \end{gathered}\)When a retired police officer passes away, he leaves $220,000 to be divided among his two children and seven grandchildren. The will specifies that each child is
to get twice as much as each grandchild. How much does each get?
Each child gets S and each gra
Answer:
40000, 20000
Step-by-step explanation:
Let the amount a grandchild receives be \(x\). Then, the amount a child receives is \(2x\).
Thus, \(220000=2(2x)+7x=11x \implies x=20000\).
This means each grandchild gets $20,000 and each child gets $40,000.
Identify whether each phrase is an expression, equation, or inequality.
Term Phrase
\(0=p-\frac{7}{3}\), is a equation.
The second phrase4q>s+\(6^{4}\), is an inequality.
The third phrase4a-5 is an expression
What is Equation, Expression and Inequality?An equation is a mathematical expression that contains an equals symbol.An expression is a combination of numbers, variables, functionsAn inequality is a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
The first Phrase
\(0=p-\frac{7}{3}\), is a equation.
A equation contain operand, operators(+,-,*,/) and an equal sign.
The second phrase
4q>s+\(6^{4}\), is an inequality.
An inequality is a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
The third phrase
4a-5 is an expression
An expression is a combination of numbers, variables, functions
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HELP ME OUT PLS!!!!!!
This is the same triangle you used for Question 2.
Triangle ABC has angle measures as shown below.
Using the information in the diagram, and the value of x that you calculated in Question 2, find the measure of Angle C.
In your answer, give the measure of Angle C and explain how you calculated it.
here it is the sum of interior angles of a triangle =180
Answer:
35+3 x+2 +52=180
35 +3x+6+52=180
93+3x=180
3x=87
x=87
---
3
x= 29
c=3[x+2]
substituding
c=3[29+2]
c=3x31]
c=93
35+93+52=180
i wrote it down so yall can copy and paste
What is the equivalent fraction of 5/8 that has a denominator of 32
Answer:
20/32
Step-by-step explanation:
multiply numerator and denominator by 4 :
5*4/ 8*4 = 20/32
Favorite song smh I have to type 20 characters
Answer:
My 2 fav songs are im a mess and your gonna go far kid :D
Step-by-step explanation:
Have a good day! And god bless! <3
Which fractions are less than 2/3? *
Answer:
I dont see any options....
But 1/4, 1/5, 1/6, 1/7, 2/7, etc
Step-by-step explanation:
Answer:
a lot but here are a few
Step-by-step explanation:
1/3 3/6 2/6 1/6 7/12 6/12 5/12 4/12 3/12 2/12 1/12 16/24 15/24 14/24 13/24 12/24 11/24 10/24 9/24 8/24 7/24 6/24 5/24 4/24 3/24 2/24 and 1/24
y=24-4x function table
Answer:
here
Step-by-step explanation:
Answer:
Step-by-step explanation:
Giving BrainleYst. Which Inequality is graphed on the coordinate plane?
O A. y<-2x-1
OB. y>-2x-1
OC. ys-2x-1
OD. y2-2x - 1
Answer:
A. y<-2x-1
Step-by-step explanation:
not C or D because it is a dashed line meaning the linear equation will either have the symbol ≥ or ≤.
when y is less than, you shade below
thus, the answer is A
Oki and Stephen are making bags of trail mix to sell. Oki’s trail-mix recipe requires 3 cups of nuts and 3 cups of dried fruit per bag. Stephen’s trail-mix recipe requires 4 cup of nuts and 2 cups of dried fruit per bag. Together, they want to make as many bags of trail mix as possible. They have exactly 120 cups of nuts and 90 cups of dried fruit. Find the maximum number of bags of trail mix Oki and Stephen can make together.
A. write a system of inequalities
B. Graph and find coordinates of the vertices of the feasible region.
C. Find the maximum number of bags of trail mix oki and stehpen can make. How many of each type of recipe should they make to maximize the total number of bags
Answer: Oki should make 0 bags of her recipe, and Stephen should make 30 bags of his recipe.
For vertex (15,15):
3x + 4y = 120 --> 3(15) + 4(15) = 120 --> x = 15
3x + 2y = 90 --> 3(15) + 2y = 90 -->
Step-by-step explanation: A. To find the maximum number of bags of trail mix that Oki and Stephen can make together, we can use a system of inequalities to represent the constraints:
Let "x" be the number of bags of trail mix that Oki makes and "y" be the number of bags that Stephen makes. Then we have:
3x + 4y ≤ 120 (constraint on the number of cups of nuts)
3x + 2y ≤ 90 (constraint on the number of cups of dried fruit)
x ≥ 0 (non-negative constraint for Oki's bags)
y ≥ 0 (non-negative constraint for Stephen's bags)
B. To graph the feasible region, we can start by graphing the two constraint equations as lines:
3x + 4y = 120 (line A)
3x + 2y = 90 (line B)
We can find the x and y intercepts for each line:
For line A:
When x = 0, 4y = 120, y = 30 (y-intercept)
When y = 0, 3x = 120, x = 40 (x-intercept)
For line B:
When x = 0, 2y = 90, y = 45 (y-intercept)
When y = 0, 3x = 90, x = 30 (x-intercept)
Next, we can shade the region that satisfies all of the constraints. This region is below line A and to the left of line B, and is bounded by the x and y axes.
We can find the vertices of the feasible region by finding the intersection points of the two lines and the axes. These vertices are (0,0), (0,30), (15,15), and (30,0).
C. To find the maximum number of bags of trail mix that Oki and Stephen can make together, we need to evaluate the objective function at each vertex of the feasible region, and choose the vertex that maximizes the objective function.
The objective function is the total number of bags of trail mix:
z = x + y
Evaluating at the vertices:
Vertex (0,0): z = 0 + 0 = 0
Vertex (0,30): z = 0 + 30 = 30
Vertex (15,15): z = 15 + 15 = 30
Vertex (30,0): z = 30 + 0 = 30
The maximum value of the objective function occurs at vertices (0,30) and (15,15), where z = 30 bags of trail mix.
To determine how many of each type of recipe to make, we can substitute each vertex into the two constraint equations to find the corresponding values of x and y.
For vertex (0,30):
3x + 4y = 120 --> 3x + 4(30) = 120 --> 3x = -90 --> x = -30
3x + 2y = 90 --> 3(-30) + 2(30) = 90 --> y = 15
Therefore, Oki should make 0 bags of her recipe, and Stephen should make 30 bags of his recipe.
For vertex (15,15):
3x + 4y = 120 --> 3(15) + 4(15) = 120 --> x = 15
3x + 2y = 90 --> 3(15) + 2y = 90 -->
Hello random community i have a question to ask what is 7/8 - 3/4
Answer: 1/8
Step-by-step explanation:
First make the bottom half the same:
3/4*2/2=6/8
We don’t need to change the first portion since they have a common factor
7/8-6/8=1/8
Find the volume of a pyramid with a square base, where the side length of the base is
10.6
in
10.6 in and the height of the pyramid is
12.3
in
12.3 in. Round your answer to the nearest tenth of a cubic inch.
Answer:
V = 460.68
Step-by-step explanation:
V=(lwh)/3
what are square roots?
Answer:
Step-by-step explanation:
Square roots are the values which when multiplied by themselves are the value in the radical.
2X2=4
So the square root of 4 is 2
3X3=9
So the square root of 9 is 3
...
What is the remainder of f(x)=x^3-2x^2+x+2 when divided by binomial x+1
Step-by-step explanation:
Here is the answer..hope this helps:)
I need help asap please
Answer:
127.1
Step-by-step explanation:
This is easy, if you see the hundredth 0.07, that is above 5 so it rounds up to become 0.1 tenth, normally we check for things like 0.003 in the thousandth, but here it is less than 5 so it does nothing, not to mention it wouldnt change the outcome
please find the p-value
The statistical analysis of the data using a two-sample t-test indicates;
(a) B. Yes, the Meters On data appears to have higher speeds
A. No, there does not appear to be any outlier
(b) H₀; \(\mu_{on}\) = \(\mu_{off}\)
H₁; \(\mu_{on}\) > \(\mu_{off}\)
The P-value for the test is about 0.037
What is a two-sample t-test?A two-sample t-test is used to determine if there is a difference between the means of two independent groups of data.
(a) The average of the data values are;
Ramp meters on;
\(\mu_{on}\) = (29+47+55+38+32+25+42+47+51+36+55+41+43+25+47)/15 ≈ 40.87
\(\mu_{off}\) = (25+25+43+35+36+31+48+37+19+29+22+40+36+50+40)/15 ≈ 34.4
The higher average value for the speed with the Ramp meters on indicates;
B. Yes, the Meters On data appears to have higher speeds
The five number summary are;
Ramp Meters On
Min = 25, Max = 55, Q₁ = 32, Q₂ = 42, Q₃ = 47
IQR = 47 - 32 = 15
Outlier = 47 + 1.5 × 15 = 69.5
32 - 1.5 × 15 = 9.5
Therefore, there are no outliers for the Ramp Meters On
Ramp Meters Off
Min = 19, Max = 50, Q₁ = 25, Q₂ = 36, Q₃ = 40
IQR = 40 - 25 = 15
Outlier = 40 + 1.5 × 15 = 62.5
25 - 1.5 × 15 = 2.5
Therefore, there are no outliers for the Ramp Meters Off data
(b) The null hypothesis is; H₀; \(\mu_{on}\) = \(\mu_{off}\)
The alternative hypothesis is; H₁; \(\mu_{on}\) > \(\mu_{off}\)
(c) The two sample t-test, can be obtained using the formula;
\(t_{cal} = \frac{(\bar{x}_1 - \bar{x}_2)}{\sqrt{(\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2} ) } }\)
Where; \(\bar{x}_1\) = 40.87
\(\bar{x}_2\) = 34.40
s₁ = 9.91
s₂ = 9.20
n₁ = n₂ = 15
Therefore; \(t_{cal}\) = 1.8516. The degrees of 15 + 15 - 2 = 28, and the one-tailed hypothesis, indicates, using an online tool;
The p-value = 0.037328The p-value is less than 0.05, therefore, the result is significant.
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the store are the small posters and large poster to promote opening school 12 times as many small posters are ordered as large if there is 48 large posters how many more small poster were order than large posters ?
Answer: 528 small posters
Let the number of small posters be = s
The number of large posters = L
12 as many small posters were orderd as large
Mathematically, this implies that
S = 12 * large posters
s = 12 x 48
s = 576
How many small posters was ordered than large posters
576 - 48 = 528 small posters
Therefore, 528 small posters were ordered more
If f is a function that f(f(x)) = 2x² + 1, which is the value of f(f(f(f(3)))? Please help!
\(f(f(3))=2\cdot3^2+1=19\\f(f(f(f(3))))=2\cdot19^2+1=723\)