Answer:
Each friend ate 4 tacos.
Step-by-step explanation:
"4 of his friends ate s tacos" is unclear. I assume it should be
"4 of his friends ate s tacos each."
total tacos = 2 + 4s = 18
4s = 16
s = 4
His four friends ate a total of 16 tacos, each friend eating 4 tacos.
Ricky's reason, i.e., that 6s = 18, is incorrect.
6s = 4s+2s, where 4s is what his friends ate in total.
That implies that Ricky ate 2s tacos, instead of 2 tacos. If 2s = 2 then s = 1, but then 6s ≠ 18.
Find the perimeter in centimeter
Answer: 210
Step-by-step explanation:
What is F(-x)?
F(x)=x^3+1
Answer:
F(-x) = 0
Step-by-step explanation:
What is F(-x)?
F(-x) = F(-1)
F(x) = x³ + 1 F(-1)
F(-1) = -1³ + 1
F(-1) = -1 + 1
F(-1) = 0
So, F(-x) = 0
Answer:
f(-1) = 0
Step-by-step explanation:
Evaluating a function for f(-x) is the same as evaluating it for f(-1).
So we plug in -1 instead.
f(-1) = x³ + 1
= (-1)³ + 1 (here we cube -1)
= -1 + 1 (here we subtract)
= 0 (and, this is the answer)
\(\therefore\) The answer is f(-1) = 0
If a is an odd number, then 2a is an even number,
Answer:
That would be correct!
Step-by-step explanation:
Hope this help :3
Answer:
yes
STEP-BY-STEP-EXPLANATION:
three people are asked to throw a fair die. what is the probability that all ofthem get the same number? [10 pts]
The probability that all of them get the same number would be 1/36. Or probability that they will have a chance of get the same number after 36 throws. And the probability concept that use here is theoretical probability.
How to calculate?Theoretical probability It is based on the likelihood that something will occur. The justification for probability serves as the main foundation for theoretical probability. The chance that any one die matches another is 1 out of 6.Amount of people whom asked to throw are 3 people.Then everybody will get the some chance to get the same number.And then the probability works out this way:Total out comes in three dice = ( 6 × 6 × 6 = 216 ).
Probability of getting same number = 6 × 1/6 × 1/6 × 1/6
= 6 × 1/6 × 1 × 1/6 × 6
= 6/6 × 1/36
= 1 × 1/36
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please help asap (answer only if you know the question)
The Equation of bisector 5x-7y+3=0 which is a straight line.
What is bisector?A straight line that divides an angle of a triangle in equal value.
What is perpendicular bisector?The line that lies perpendicular to a side and goes through the midpoint of its length.
Given, coordinate H (-7,2), K (3, -4) and L (5,4)
we plot a triangle HKL with this point.
midpoint of side HK is found by (-7+3)/2 and (2-4)/2
hence, midpoint of HK is (-2,-1) is denoted by P
the perpendicular bisector of side HK means a straight line from the midpoint of HK to the point L(5,4). The bisector line PL divide the angle HLK.
so, the equation of bisector is y-y₁ = (y₂-y₁)/(x₂-x₁)[x-x₁] because the bisector line passes through the point P(-2,-1) and L(5,4)
y-(-1) = [4-(-1)]/[5-(-2)]× [x-(-2)]
y+1 = 5/7×(x+2)
7y+7= 5x+10
5x-7y+3=0
hence, the equation of bisector is 5x-7y+3=0
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Translate the sentence into a equation six more than the product of a number and 7 equals 5
Answer:
(x*7)+6=5 Hope that helps
Step-by-step explanation:
please help. 7. 2 × 5. 28
Answer:
The Answer is 10! (I Don't know if you meant 2x5 or 2x5x28) If I am wrong please let me know! If you meant 2x5x28 the answer is 280!
Step-by-step explanation:
7,2 × 5,28
Answer :\( = \frac{72}{10} \times \frac{528}{10} \)
\( = \frac{72 \times 528}{10 \times 100} \)
\( = \frac{38016}{1000} \)
\( = \frac{4752 \times 8}{125 \times 8} \)
\( = \frac{4752}{125} = 38 \frac{2}{125} \)
\( = 38.016\)
A bank loaned out 20,500, part of it at the rate of 9% annual interest, and the rest at 11% annual interest the total interest earned for both loans was 2,225.00 how much was loaned at each rate
The money loaned at 9% annual interest was 1500 and the money loaned at 11% annual interest was 19000.
Let the amount of money loaned at 9% be x
the amount of money loaned at 11% be y
According to the question,
Total money loaned = 20,500
Thus the equation formed is,
x + y = 20,500 ------ (i)
Simple interest is calculated by
I = P * r * t
where I is the simple interest
r is the rate of interest
t is the time
Thus, the interest on x = 0.09x
the interest on y = 0.11y
Total interest gained = 2,225
Thus the equation formed is,
0.09x + 0.11y = 2225 -------(ii)
Multiply (i) by 0.09
0.09x + 0.09y = 1845
Subtract the above from (ii)
0.02y = 380
y = 19000
x = 1500
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Work out the area of a circle with radius of 7.5cm
Answer:
Area of circle is equal A = πr²
Here r = 7.5 and π = 3.142
so,
A = 3.142(7.5)²
A = 176.17 after rounding off.
Read the story problem, and then answer the questions that follow.Gordon works for a graphic design firm and is creating a label for a food truck vendor. The vendor specializes in finger food and wants to sell food in right conical containers so that they are easy for people to hold. To complete his label, Gordon needs to collect several different measurements to ensure that the label he designs will fit the surface of the container. Gordon has been told that the containers have a diameter of 4 inches and a height of 6 inches.
The slant height is the hypotenuse of the right triangle which legs are the radius of the cone and the height. Then we have:
\(\begin{gathered} c^2=6^2+2^2 \\ c^2=36+4 \\ c^2=40 \\ c=\sqrt[]{40} \end{gathered}\)Therefore the slant height of the cone is the square root of 40. This is approximately 6.32.
Determine whether the given description corresponds to an observational study or an experiment.
In a study of 411 children with a particular disease, the subjects were asked to complete a survey about their diet upon arrival to a hospital.
Does the given description correspond to an observational study or an experiment?
s
O A. The given description corresponds to an observational study
OB. The given description corresponds to an experiment.
O C. The given description does not provide enough information to answer this question
Answer:
The answer is "Option A".
Step-by-step explanation:
the slope field for the given differential equation is provided. sketch both branches of particular solution curve that passes through the point
The solution curve for the differential equation dy/dx = (y - y²) / x is plotted in the slope field.
What is a slope field?
The solutions to a scalar function's first-order differential equation are shown graphically by slope fields, also known as direction fields. Functions depicted as solid curves are solutions to a slope field. In order to determine the estimated tangent slope at a point on a curve, where the curve is some solution to the differential equation, one can use a slope field, which displays the slope of a differential equation at specific vertical and horizontal intervals on the x-y plane.
The slope field is a cartesian grid where you draw lines in various directions to represent the slopes of the tangents to the solution. Therefore by drawing a curve through consecutive slope lines, we can find a solution to the differential equation.
The differential equation is dy/dx = (y - y²) / x.
The solution curve is drawn using the solution points (1,2) for the differential equation.
Therefore, the solution curve is obtained.
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Find the slope between the points (1,4) and (-4,-6).
Answer:
The answer should be -3/2 I believe
Step-by-step explanation:
Formula I used: (x1-y1)/(x2-y2) = x/y (fraction) then simplify if possible
ex: (1 - 4)/(-4 - -6) = -3/2, cannot simplify so that is your answer
What is the first term in the sequence for which d = -2 and a7 = 3?
A. -6
B. 12
C. 15
D. -12
Answer:
First term is 15
Step-by-step explanation:
Given data:
\(a_{7} =3\\d=-2\)
Now,
\(a+6d=3.....(1)\\a_{n} =a+(n-1)d\\\\\\From equation (1)\\a+6(-2)=3\\a-12=3\\a=12+3\\a=15\)
Therefore first term a =15
Correct option is (c)
Which statement about function g is true?
g(x)
10
x
1
2 40
3 160
4 640
The statement about function g which is true is that: function g is exponential because g(x) changes by equal factors over equal intervals of x.
What is a slope?The slope of a line simply refers to the gradient of a line and it's typically used to describe both the ratio, direction and steepness of an equation of a straight line.
How to calculate the slope of a line?Mathematically, the slope of a straight line can be calculated by using this formula;
\(Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}\)
Slope = (40 - 10)/(2 - 1)
Slope = 30/1
Slope = 30
Slope = (160 - 40)/(3 - 2)
Slope = 120/1
Slope = 120.
Factor = 40/10 = 4
Factor = 160/40 = 4
Factor = 640/160 = 4.
Therefore, function g is exponential because g(x) changes by equal factors over equal intervals of x.
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Iris is a working freelancer and has been tracking her monthly income for the last four months she found out that she made $2700 $4600 $3550 and $1700 when making her budget what income value should she use
Iris should use an income value of approximately $3,137.50 when making her budget.
When making her budget as a freelancer, Iris should use an income value that reflects her average earnings over the past four months. By calculating the average income, Iris can have a more stable and reliable estimate for her budget planning.
To determine the average income, Iris needs to add up the total income earned over the four months and divide it by the number of months. Summing up the income values, we get:
$2700 + $4600 + $3550 + $1700 = $12,550
Next, dividing the total income by four (the number of months), we find:
$12,550 / 4 = $3,137.50
Therefore, Iris should use an income value of approximately $3,137.50 when making her budget. This average value allows her to account for fluctuations in her monthly income and provides a more accurate representation of her earning potential.
It is important for Iris to consider her expenses and financial goals when budgeting. By using the average income, she can create a budget that balances her income and expenses, allowing her to allocate funds appropriately for various needs such as bills, savings, investments, and personal expenses.
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The probable question may be:
Iris is a working freelancer and has been tracking her monthly income for the last four months, which are $2700, $4600, $3550, and $1700. What income value should she use when making her budget?
8 cm²12 cm²4 cm²16 cm²Q. What is the area of the shaded region?
12 cm²
1) Since we have two squares, and the smallest one is located inside the greatest one, then we need to calculate the white square area and subtract from the gray one's area
2) This way:
\(\begin{gathered} A_{\text{gray}}=s^{2} \\ A_{\text{gray square }}=4^2=16cm^2 \\ A_{itesquare}=2^2=4\text{ cm²} \\ A_{\text{shaded}}=16\text{ -4 = 12cm²} \end{gathered}\)3) So the area of the shaded region is 12 cm²
a triangle is shown drag graphs to the table to ahow the image of the triangle after it is reflected over the x-axis, the y-axis, or the line y = x.
The graphs have been correctly dragged to the table to show the image of the triangle after it is reflected over the x-axis, the y-axis, and the line y = x.
How to reflect the triangle based on the transformation rule?By applying a reflection over the x-axis to the coordinates of this triangle, we have the following coordinates of the image triangle;
(x, y) → (x, -y)
(1, -3) → (1, -(-3)) = (1, 3)
(3, -2) → (3, -(-2)) = (3, 2)
(4, -5) → (4, -(-5)) = (4, 5)
By applying a reflection over the y-axis to the coordinates of this triangle, we have the following coordinates of the image triangle;
(x, y) → (-x, y)
(1, -3) → (-1, -3)
(3, -2) → (-3, -2)
(4, -5) → (-4, -5)
By applying a reflection over the line y = x to the coordinates of this triangle, we have the following coordinates of the image triangle;
(x, y) → (y, x)
(1, -3) → (-3, 1)
(3, -2) → (-2, 3)
(4, -5) → (-5, 4)
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hich rectangle is an enlargement of a 5 by 6 rectangle? Rectangle A B C D Width 10 15 25 60 Length 11 18 36 60
Answer:
The answer is B
Step-by-step explanation:
Edge 2021 + top comment !
Rectangle B is an enlargement of a 5 by 6 rectangle.
What is a rectangle?A rectangle is defined as a four-sided shape with opposite sides that are equal in length and parallel to each other.
The table of rectangles is given in the question, as follows:
Rectangle: A B C D
Width: 10 15 25 60
Length: 11 18 36 60
The ratio of the length and width of the original rectangle is 6:5.
If a rectangle has the same ratio of length to width as the original rectangle, then it is an enlargement of the original rectangle.
We can find the ratio of the length and width of each of the rectangles A, B, C, and D by dividing the length by the width.
For rectangle B, the length is 36 and the width is 25, so the ratio of the length to width is 18/15 = 6/5.
Thus, rectangle B is an enlargement of a 5 by 6 rectangle.
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On which triangle can the law of cosines be used to find the length of an unknown side? Law of cosines: a2 = b2 + c2 – 2bccos(A)
Explanation:
You would use this law under two conditions:
One angle and two edges defined, while trying to solve for the third edgeALL three edges definedHence, you have your answer.
* Just make sure to use the inverse function towards the end, or elce you will throw your answer off!
_______________________________________________
Now, you would use the Law of Sines under three conditions:
Two angles and one edge defined, while trying to solve for the second edgeOne angle and two edges defined, while trying to solve for the second angleALL three angles defined [of which does not occur very often, but it all refers back to the first bullet]* I HIGHLY suggest you keep note of all of this significant information. You will need it going into the future.
I am delighted to assist you at any time.
Using the information below, Solve for x. Show Your Work with your answer.
X + 2y = 5
2x + y = 12
-2(x + 2y = 5)
-2x - 4y = - 10
-2x - 4y = -10
2x + 6y = 12
_____________
2y = 2
————————
2 2
y=1
[insert answer here]
Step-by-step explanation:
One jar of spaghetti sauce is made with 1/4 of a cup of tomatoes. How many full jars of spaghetti sauce can be made with 3 cups of tomatoes?
Answer:
you can make 12 cans of them
Can someone answer this question
The function is a quadratic function, and none of the given options is a factor of the graph of the function.
Here,, we have,
to determine the factor:
The zeros of the function are given as:
-3 and 5
This means that:
x = -3 and x = 5
Rewrite as:
x + 3 = 0 and x - 5 = 0
Multiply both equations
(x + 3)(x -5) = 0 * 0
This gives
(x + 3)(x -5) = 0
Express as a function
f(x) = (x + 3)(x -5)
The above means that the factors of the function are (x + 3) and (x -5)
Hence, none of the given options is a factor of the graph of the function
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complete question:
Graph of a function, f(x), has zeros at - 3, and 5. Which of
following is a factor of f(x)?
(2x - 3)
(2x + 3)
(3x + 2)
(x + 5)
A software development company is voting to elect a president, a secretary, a treasurer, and three directors. If a total of 11 qualified candidates applied for these positions, in how many ways can the positions be filled?
The ways to elect the candidates from the total is 462
How to determine the ways of selection?From the question, we have
Total number of candidate, n = 11Numbers to selection, r = 6 i.e. the president, a secretary, a treasurer, and three directorsThe number of ways of selection could be drawn is calculated using the following combination formula
Total = ⁿCᵣ
Where
n = 11 and r = 6
Substitute the known values in the above equation
Total = ¹¹C₆
Apply the combination formula
ⁿCᵣ = n!/(n - r)!r!
So, we have
Total = 11!/5!6!
Evaluate
Total = 462
Hence, the number of ways is 462
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A fighter jet F and a helicopter H leave the airport A at the same time. The jet flies 25 km on a bearing of 040° and the helicopter flies 30 km on a bearing of 320°. How far apart are the aircraft? (Use a scale of 1 cm to represent 5 km.)
Answer:
FH = 35.64
Step-by-step explanation:
(∠A = 360 so the other angle is 40)
By law of cosines,
FH² = AH² + FA² - 2(AH)(FA) * cos(A)
= 30² + 25² - 2(30)(25) * cos(80)
= 900 + 625 - 1500 * 0.17
= 1525 - 255
FH² = 1270
FH = √1270
FH = 35.64
Three friends rented a kayak. It cost $4 per hour per person to rent the kayak, plus $2 for each life jacket, and $3 to park the car. It cost $57 in all. How many hours did they spend kayaking? Write an equation and solve.
Answer:
13 hours
Step-by-step explanation:
Let y = the total cost
let x = hours
y = 4x + 5 5 = the one time fee of the jacket and the parking
57 = 4x + 5 Subtract 5 from both sides
52 = 4x Divide both sides by 4
13 = x
if a map of chain complexes induces an isomorphism on homology, then the euler characteristics are equal
It is true that the Euler characteristics are equivalent if a map of chemical chain complexes induces an isomorphism on homology. A mapping between two structures.
That preserves structure is known as an isomorphism. Of the same kind that an inverse mapping can reverse. If an isomorphism can be found between two mathematical structures, they are said to be isomorphic. Chemical processes take place everywhere around us, from the food our bodies metabolize to how the sunlight we receive is produced. It's crucial to understand physical and chemical changes before starting with chemical reactions. A material thing or system's structure is how its constituent parts are arranged and structured, or the organized object or system itself.
Isomorphism, a one-to-one correspondence (mapping) between two sets that preserves binary relationships between elements of the sets. For example, the set of natural numbers can be mapped onto the set of even natural numbers by multiplying each natural number by 2.
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Write a rational function that meets the following criteria:
Vertical asymptote at x = 1
Horizontal asymptote at y = 2
and a hole at x = 3
Solve for the unknown in the following diagram. Round the answer to two decimal places.
degrees
Answer:
x = 63.28°
Step-by-step explanation:
A = 33°
a = 175 mm
C = x
c = 287 mm
Use the Law of Sines to find x
Thus:
\( \frac{a}{sin(A)} = \frac{c}{sin(C)} \)
Plug in the values
\( \frac{175}{sin(33)} = \frac{287}{sin(x)} \)
Cross multiply
\( 175*sin(x) = 287*sin(33) \)
Divide both sides by 175
\( sin(x) = \frac{287*sin(33)}{175} \)
\( sin(x) = 0.893208017 \)
\( x = sin^{-1}(0.893208017) \)
x = 63.28° (2 decimal places)
Si al invertir $60.000 se pierde un 8% ¿A cuánto asciende la pérdida?
Trabajando con porcentajes, concluimos que la pérdida es de $4800.
¿A cuánto asciende la pérdida?
Sabemos que la inversión inicial es de $60000, y de esta cantidad, se pierde un 8%.
Entonces la pérdida va a ser el 8% de $60000.
Podemos escribir las relaciones:
$60000 = 100%
x = 8%
Queremos resolver esto para x, tomando el cociente entre esas relaciones y resolviendo para x obtenemos:
x = $60000*(8%/100%) = $60000*0.08 = $4800
Así, concluimos que la pérdida es de $4800.
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