Answer:
Hi the answer is 874.6
Step-by-step explanation:
1. Add all numbers to equal 1,045
2. Times the number by 12% so .12
to equal 125.4
3 subtract 125.4 by 1045 to equal 919.6
4. Times 9 by 5(the number of days) to equal 45
5. Finally subtract 45 by 919.6 to equal 874.6
Hope this helped. Have a great day!
The total profit of Vic for the five days of sales given the cost of ingredients and fuel is £874.60.
What is the total profit?Total profit is the total revenue less total cost.
Total revenue = 225 + 260 + 230 + 180 + 150 = £1045
Cost of ingredients = 12% x 1045 = $125.40
Total fuel = £9 x 5 = £45
Profit = £1045 - £45 - £125,40 = £874.60
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Find the total area of the prism.
144 sq. in.
576 sq. in.
864 sq. in.
Answer:
864 sq.in.
Step-by-step explanation:
Given:
Prism with each leg of length 12
hence given prism is cube
Formula for Area of cubic prism= 6a^2
where a is length of a side
Area=6(12)^2
=6(144)
=864 !
Graph f(x)=x2 +2x-3 label x and y intercept and vertex with their coordinates and draw axis of symmetry
ANSWER
See below
EXPLANATION
The given function is
[tex]f(x)= {x}^{2} + 2x - 3[/tex]
We complete the square to rewrite this function in the vertex form.
[tex]f(x)= {x}^{2} + 2x + 1 - 1- 3[/tex]
[tex]f(x)= {(x + 1)}^{2} - 4[/tex]
The vertex is (-1,-4).
The axis of symmetry is x=-1
To find x-intercepts , put f(x)=0.
[tex]{(x + 1)}^{2} = 4[/tex]
[tex]x + 1 = \pm \sqrt{4} [/tex]
[tex]x = - 1\pm2[/tex]
[tex]x = - 3 \: or \: x = 1[/tex]
The x-intercepts are (-3,0), (1,0)
To find y-intercept , put x=0.
[tex]f(x)= {0}^{2} + 2(0) - 3 = - 3[/tex]
The graph is shown in the attachment.
A container in the shape of a cone has a height of 13 centimeters and a diameter of 8 centimeters. Find the volume of the container to the nearest tenth of a centimeter. Use 3.14 for pi
if its diameter is 8 cm, then its radius is half that, or 4 cm.
[tex]\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\ \cline{1-1} r=4\\ h=13 \end{cases}\implies V=\cfrac{\pi (4)^2(13)}{2} \\\\\\ V=104\pi \implies \stackrel{\pi =3.14}{V=326.7}[/tex]
Two different antibiotics can be used to treat an infection. Treatment with antibiotic 1 is known to be successful 80% of the time. This treatment costs $80. Antibiotic 2 is successful 90% of the time and costs $100. The two treatment plans are: Plan A: Treat with antibiotic 1. If not effective, treat with antibiotic 2. Plan B: Treat with antibiotic 2. If not effective, treat with antibiotic 1. Based on the data provided, what is the expected cost per patient under plan B?
A. $100
B. $80
C. $180
D. $108
Answer: Option D
D. $108
Step-by-step explanation:
We must calculate the expected cost per patient to use treatment method B.
The expected cost for a discrete random variable x is:
[tex]C = \sum x_i * P (x_i)[/tex]
Where [tex]x_i[/tex] is the cost associated with the probability [tex]P(x_i)[/tex]
In this case, the random variable x is represented by the cost of each treatment.
For treatment B there is a possibility that antibiotic 2 works, in that case the cost x would be $ 100 and [tex]P (x) = 0.9[/tex]
There is also the possibility that it does not work, in this case the cost x would be $180 and the probability [tex]P (x) = 0.10[/tex]
The expected cost is:
[tex]C =\$100*0.9 + \$180*0.1\\\\C = \$108[/tex]
Each carton 12 eggs. There are 2 full cartons in the refrigerator. Margot uses 3 eggs to make a quiche. How many eggs are left.
Answer:
Answer: There are 21 eggs left.
Step-by-step explanation:
One carton has 12 eggs.
2 cartons are two times one carton, so two cartons have 2 times 12 eggs.
2 * 12 = 24
There are 24 eggs in two cartons.
Margot uses 3 eggs. We subtract 3 eggs from 24 eggs.
24 - 3 = 21
Answer: There are 21 eggs left.
There are 21 eggs are left if each carton 12 eggs. There are 2 full cartons in the refrigerator. Margot uses 3 eggs to make a quiche.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
Each carton contains = 12 eggs
Number of carton = 2
Number of total eggs = 12×2 = 24
Margot uses 3 eggs to make a quiche.
Remaining eggs = 24 - 3 = 21
Thus, there are 21 eggs are left if each carton 12 eggs. There are 2 full cartons in the refrigerator. Margot uses 3 eggs to make a quiche.
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Tony planned to spend $35 for food this week. On Monday he spent $22. How much was left ?
Answer:
Lets first subtract 35 from 22 since 35 is his total and the answer would be 13.
Step-by-step explanation:
I guess it would be 13 dollars left.
IF IT'S RIGHT PLZZ MARK BRAINLIST PLZZZ
A white tailed deer can sprint at speeds up to 30 miles per hour. American bison can run at speeds up to 3,520 feet per minute. Which animal is faster and by how many miles per hour? There are 5,280 feet in one mile
Answer:
the Bision is 10 miles / hour faster if he could keep it up
Step-by-step explanation:
There are 60 minutes in an hour.
Therefore the bison can run [3520 feet / min] * [60 min ] =211288 feet in an hour.
Now you have to convert 212200 to miles. Do this by dividing by 5280
212200/5280 = 40 miles.
Kind of hard to believe isn't it. 40 miles is a long way when you are running it.
The bison is faster by 10 miles / hour.
This can be done all in 1 step if you know how to do dimensional analysis
3520 feet / minute * [ 60 min/ hour ] * [ 1 mile / 5280 feet] = 40 miles
Answer:
A bison is 10 miles per hour faster than a deer.
In the coordinate plane, three vertices of rectangle HDK are H(0, 0), (0, d), and Kle, 0). What are the coordinates of point J?
Answer:
K = (e, d)
Step-by-step explanation:
We are given the coordinates of three vertices of a rectangle and we are to find the coordinates of the fourth point J.
H (0, 0)
I (0, d)
K (e, 0)
J = ?
We can find this using the following formula:
K = H + (I - H) + (K - H)
K = H + I - H + K - H
K = I + K - H
Substituting the given values in it to get:
K = [tex](0, d) + (e, 0) - (0, 0)[/tex]
K = [tex](0+e-0, d+0-0)[/tex]
K = (e, d)
Which expression is equivalent to log w (x^2 -6)^4/ 3 sqrt x^2+8?
Answer:
C [tex]4\log_w(x^2-6)-\dfrac{1}{3}\log_w(x^2+8)[/tex]
Step-by-step explanation:
First use the property of logarithms
[tex]\log _ab-\log_ac=\log_a\dfrac{b}{c}.[/tex]
For the given expression you get
[tex]\log_w\dfrac{(x^2-6)^4}{\sqrt[3]{x^2+8} }=\log_w(x^2-6)^4-\log_w\sqrt[3]{x^2+8}=\log_w(x^2-6)^4-\log_w(x^2+8)^{\frac{1}{3}}[/tex]
Now use property of logarithms
[tex]\log_ab^k=k\log_ab.[/tex]
For your simplified expression, you get
[tex]\log_w(x^2-6)^4-\log_w(x^2+8)^{\frac{1}{3}}=4\log_w(x^2-6)-\dfrac{1}{3}\log_w(x^2+8).[/tex]
Answer: C
Step-by-step explanation:
A triangle with point (8, 10) undergoes a dilation with a scale factor of 1/2. What are the new coordinates of the point?
Answer:
(4, 5)
Step-by-step explanation:
Answer:
New x-coordinate: 4
New y-coordinate: 5
New point: (4,5)
Step-by-step explanation:
You know that the coordinates of a point of this triangle are the following:
[tex]x_1=8\\y_1=10[/tex]
And you know that it is dilated with a scale factor of [tex]\frac{1}{2}[/tex], then, to find the new coordinates of the point, you need to multiply the original coordinates by the scale factor:
New x-coordinate:
[tex]x_2=\frac{1}{2}x_1[/tex]
[tex]x_2=\frac{1}{2}(8)[/tex]
[tex]x_2=4[/tex]
New y-coordinate:
[tex]y_2=\frac{1}{2}y_1[/tex]
[tex]y_2=\frac{1}{2}(10)[/tex]
[tex]y_2=5[/tex]
The new point is (4,5)
differences between a pyramid and a Cube
Answer:
Step-by-step explanation:
pyramids have 5 surfaces and a point. a cube has 6 surfaces and is a square
The triangles shown below must be congruent.
Answer:
A
Step-by-step explanation:
If the corresponding parts of the triangles are congruent then the triangles are congruent.
Here there are 2 corresponding congruent angles, that is 51° and 80°
The non- included corresponding sides are congruent both 10
Then by AAS postulate the triangles are congruent- True
Answer:
True
Step-by-step explanation:
A pex
Mean is 0 (11.5,12.5,-10,-75x)
Answer:
Step-by-step explanation:
11.5 + 12.5 - 10 - 75*x = 0
4
multiply both sides by 4
11.5 + 12.5 - 10 - 75x = 0 Combine the first 2 terms.
24 - 10 - 75x = 0 Subtract 10
14 - 75x = 0 Subtract 14 from both sides
-75x = - 14 Divide by - 75
-75x/-75 = -14/75 Do the division
x = 0.187
david and muriel listed these items. what is their net worth?
Your answer will be 13,331 because you add up all the asset and subtract all the liabilities
Answer:
Option D.
Step-by-step explanation:
To calculate the net worth we subtract the liabilities from the assets.
Total assets
Checking and savings $6432
Automobile $8345
Apartment contents $5242
Valuables $867
-------------------------
Total $20886
Total Liabilities
Auto loan $2820
Credit card $1181
Other loans $3554
---------------------------
Total $7555
Net worth = Assets - liabilities
= $20886 - $7556
= $13331
Option D is the answer.
A fish tank is filled with water.The tank holds 150 gallons.Each cubic foot of water contains about 7.5 gallons.The rank is 5 feet long and 3 feet high.what is the width of the tank
Answer:
Width = [tex]1\frac{1}{3}[/tex] ft
Step-by-step explanation:
The tank holds 150 gallons of water.
7.5 gallons holds 1 ft³ of water.
So 150 gallons will hold;
[tex]\frac{150}{7.5}[/tex] × 1 ft³ = 20 ft³
The volume of the tank = Length(l) × Width(w) × Height(h) = 20 ft³
i.e 5 ft × w × 3 ft = 20 ft³
15w ft² = 20 ft³
w = [tex]\frac{20 ft^3}{15 ft^2}[/tex] = [tex]1\frac{1}{3}[/tex] ft
at a high school movie night, the refreshment stand sells popcorm and soft drinks. Of the 100 students who came to the movie, 62 bought popcorn and 47 bought a drink. 38 students bought both popcorn and a drink. What is the probability that a student buys a drink?
Answer:
The probability that a student buys a drink is 0.47
Step-by-step explanation:
The probability that a student buys a drink will be given by;
( the number of students who bought a drink)/(the total number of students)
We are told that;
Of the 100 students who came to the movie, 62 bought popcorn and 47 bought a drink. Therefore, the required probability is;
47/100= 0.47
GIVING 20 POINTS!!!
I need a real life example of a quadratic model, IT NEEDS TO BE THE QUESTION AND THE ANSWER!! It can be any example of quadratic models.
Examples of Quadratic Equation. A quadratic equation is an equation of the second degree, meaning it contains at least one term that is squared. The standard form is ax² + bx + c = 0 with a, b, and c being constants, or numerical coefficients, and x is an unknown variable.
Final answer:
A real-life example of a quadratic model is a ball's trajectory when thrown upwards, described by the quadratic equation h(t) = -4.9t^2 + v0t + h0, with -4.9 representing the acceleration due to gravity.
Explanation:
A common example of a quadratic model in real life is the path of a projectile. For instance, when you throw a ball, its trajectory can be described by a quadratic equation. Let's say a person throws a ball upwards with an initial velocity, and we want to model the ball's height above the ground over time.
The quadratic equation for the ball's height h at time t can be written as: h(t) = -4.9t2 + v0t + h0, where -4.9 is the acceleration due to gravity (in meters per second squared), v0 is the initial velocity (in meters per second), and h0 is the initial height (in meters).
For example, if the initial velocity is 14.3 m/s and the ball is thrown from the ground (initial height is 0), the equation becomes h(t) = -4.9t2 + 14.3t. To find when the ball hits the ground, we solve for t when h(t) = 0 using the quadratic formula.
Let me know the answer plz
Answer:
The correct answer option is B. [tex]1[/tex], [tex]\frac{1}{2}[/tex], [tex]\frac{1}{4}[/tex].
Step-by-step explanation:
We are given the following geometric sequence and we are to find its 8th term:
[tex]16, 8, 4, 2,...[/tex]
Here [tex]a_1=16[/tex] and common ratio [tex](r) = \frac{2}{4}=0.5[/tex].
The formula we will use to find the next three terms is:
nth term = [tex]a_1 \times r^{(n-1)}[/tex]
5th term = [tex]16 \times 0.5^{(5-1)} = 1[/tex]
6th term = [tex]16 \times 0.5^{(6-1)}[/tex] = [tex]\frac{1}{2}[/tex]
7th term = [tex]16 \times 0.5^{(7-1)}[/tex] = [tex]\frac{1}{4}[/tex]
Find f(5). f(x) = x2 + 2x A)15 B)20 C)30 D)35
f(5) means to replace x in the equation with 5 then solve.
f(x) = x^2 +2x
f(5) = 5^2 + 2(5)
f(5) = 25 +10
f(5) = 35
The answer is D)35
two vertices of a right triangle have coordinates (9,1) and (6,-1) select each ordered pair that could be the coordinates of the third vertex.
Answer:
the answer is the second one (6, 9)
Answer: The answers are (9, -1) and (6, 1)
Step-by-step explanation:
Can someone please help me
Answer:
[tex]\large\boxed{4\pi\ cm\approx12.56\ cm}[/tex]
Step-by-step explanation:
The formula of a length of an arc:
[tex]\dfrac{\pi\alpha r}{180^o}[/tex]
We have
[tex]\alpha=120^o\\\\r=6\ cm[/tex]
Substitute:
[tex][tex]\hat{MN}=\dfrac{\pi(120)(6)}{180}=4\pi\ cm\approx4(3.14)=12.56\ cm[/tex]
Can someone help me with this
Hello There!
First let me say this. I did not like how this question was worded I am a tutor in math and I had to read this problem over and over 5 times. It was confusing but I managed to figure it out. The answer is 61%
My work is shown on paper
write an equation of a line in Slope Intercept from that passes through the points (3, -2) and 1,4
[tex]\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{4}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{4-(-2)}{1-3}\implies \cfrac{4+2}{1-3}\implies \cfrac{6}{-2}\implies -3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-2)=-3(x-3) \\\\\\ y+2=-3x+9\implies y=-3x+7[/tex]
What is the volume of the triangular prism shown below ?
Answer:
B
Step-by-step explanation:
The volume (V) of a triangular prism is
V = area of triangular end × length
area of Δ = [tex]\frac{1}{2}[/tex] bh
where b is the base and h the perpendicular height
here b = 8 and h = 5, so
area = 0.5 × 8 × 5 = 20 units²
the length of the prism is 10, hence
V = 20 × 10 = 200 units³
The Volume of the Triangular prism is 200 units³
The correct option is (B)
What is Volume of Triangular Prism?The volume of a triangular prism is the space inside it or the space occupied by it.
Volume (V) of a triangular prism,
V = base area × length
area of Δ = bh
where b =base and h =perpendicular height
Given that, b = 8 and h = 5, so
Area = 0.5 × 8 × 5
= 20 units²
The length of the prism is 10. So,
V = 20 × 10
= 200 units³
volume of the triangular prism 200 units³
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Linda is filling the mold above with water and freezing it for an ice project. If a = 10 cm and b = 9 cm, what will be the volume of the frozen figure?
A.
1,045 cm3
B.
1,450 cm3
C.
1,000 cm3
D.
1,900 cm3
Answer:
B
Step-by-step explanation:
volume = length x width x height
For the top half i use the formula for the area of a triangle (area = base x height ÷ 2), which results in 45. times it 10 and you have 450³ which is the volume of the top part.
For the bottom half it is just 10 x 10 x 10 = 1000³
450³+1000³=1450³
The Volume of the frozen figure is C. 1,000 cm³.
To calculate the volume of the frozen figure, we need to determine the shape of the mold first. Assuming the mold is a rectangular prism, we can use the volume formula for a rectangular prism:
Volume = length × width × height
Given that the dimensions of the mold are:
a = 10 cmb = 9 cmAssumed height to be the same as a (since no other dimension is provided) = 10 cmNow, let's calculate the volume:
Volume = 10 cm × 9 cm × 10 cm = 900 cubic centimeters (cm³)
The correct answer to the question C. 1,000 cm³
Which equation is y = 6x2 + 12x – 10 rewritten in vertex form?
Answer:
y=6(x+1)^(2)-16
Step-by-step explanation:
Use the formula x=-b/2a
Plug it in for x to get y. That will give you the vertex. Plug the numbers in where they go. There will be one number left that hasn't been filled out. The first number in the equation id 6, so it goes out front.
The equation is y = 6x2 + 12x – 10 rewritten in vertex form is y=6(x+1)²-16
What is problem-solving?Problem-solving is the act of defining a problem; figuring out the purpose of the trouble; identifying, prioritizing, and selecting alternatives for an answer; and imposing an answer.Problem-solving starts with identifying the issue. As an example, a trainer may need to parent out a way to improve a scholar's overall performance on a writing talent test. To do that, the instructor will overview the writing exams looking for regions for improvement.By using the formula x=-b/2a
simplify
y = 6x2 + 12x – 10
as y=6(x+1)²-16
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the ishango bone eas found 20000years ago in the congo. why do archaeologist bellieved that the scratxhes on this bine was from people conting
Final answer:
The Ishango bone, found in the Congo with scratches believed to represent counting, shows evidence of prehistoric mathematical activity 20,000 years ago. It suggests early numerical understanding and supports the theory that Stone Age humans engaged in proto-mathematics.
Explanation:
The Ishango bone is a significant archaeological find believed by many archaeologists to be evidence of prehistoric mathematical activity. Found 20,000 years ago in what is now the Democratic Republic of Congo, the bone has a series of noticeable scratches that many scholars interpret as a form of counting. The precise nature of these markings is still the subject of debate, but the prevailing theory is that they were used for arithmetic operations, such as keeping track of numbers or simple calculations.
The archaeological context of the Ishango bone, being from the Stone Age, highlights the early presence of numerical comprehension, which could suggest that the humans of that era had some sense of numbers and possibly even a form of proto-mathematics. This idea is reinforced not just by the Ishango bone, but also by the evidence from various archaeological sites across Africa, where other mathematical tools and representations, such as carved stones with depictions of animal figures, which date back tens of thousands of years, have been found.
The discovery of the Ishango bone adds to a growing body of evidence that early humans had the ability to count and perform simple mathematical operations long before the establishment of formal systems of writing or the development of modern number systems. Such artifacts are invaluable for understanding the cognitive abilities of our early ancestors and the origins of mathematical practices.
How do I solve for f of f
Answer:
[tex]\large\boxed{(F\circ F)(n)=4n+6}[/tex]
Step-by-step explanation:
[tex]F(n)=2n+2\\\\(F\circ F)(n)\to\text{Replace n with 2n + 2 in F(n)}:\\\\(F\circ F)(n)=2(2n+2)+2\qquad\text{use the distributive property}\\\\(F\circ F)(n)=(2)(2n)+(2)(2)+2=4n+4+2=4n+6[/tex]
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. Five times the sum of the digits of a two-digit number is 13 less than the original number. If you reverse the digits in the two-digit number, four times the sum of its two digits is 21 less than the reversed two-digit number. (Hint: You can use variables to represent the digits of a number. If a two-digit number has the digit x in tens place and y in one’s place, the number will be 10x + y. Reversing the order of the digits will change their place value and the reversed number will 10y + x.) The difference of the original two-digit number and the number with reversed digits is .
Answer:
The difference of the original two-digit number and the number with reversed digits is 98 - 89 = 9
Step-by-step explanation:
Let the digit at unit(one's) place = y
Let the digit at ten's place = x
So, the two-digit number will be: 10x +y
According to given condition:
Five times the sum of the digits of a two-digit number is 13 less than the original number. This statement can be written as:
5(x +y) = (10x +y) - 13
If you reverse the digits in the two-digit number, four times the sum of its two digits is 21 less than the reversed two-digit number.
if digits are reserved the two digit will be 10y + x
4(x + y) = (10y + x) -21
So, we have 2 equations, solving these 2 equations we can find the 2 digit number.
5(x +y) = (10x +y) - 13
5x + 5y = 10x +y -13
Rearranging:
5x -10x +5y -y = -13
-5x + 4y = -13 (eq1)
4(x + y) = (10y + x) -21
4x +4y = 10y +x =-21
4x -x +4y -10y = -21
3x -6y = -21 (eq2)
Solving:
Multiply eq 1 with 3 and eq 2 with 2
-15x + 12 y = -39
6x - 12y = -42
_______________
-9x = -81
x = -81/-9
x = 9
Putting in eq(1)
-5x + 4y = -13
-5(9) +4y = -13
-45 + 4y = -13
4y = -13 + 45
4y = 32
y = 32/4
y = 8
So, y =8 and x = 9
The 2 digit number is:
10x + y = 10(9) + 8 = 90+8 = 98
The reversed 2 digit number is:
10y + x = 10(8) + 9 = 80+9 = 89
The difference of the original two-digit number and the number with reversed digits is 98 - 89 = 9
Solve 8x-5>or=27
Epic
Epic
Epic
Epic
Epic
Gamer momeent
For this case we must solve the following inequality:
[tex]8x-5 \geq27[/tex]
We add 5 to both sides of the inequality:
[tex]8x\geq27 + 5\\8x\geq32[/tex]
DIviding between 8 on both sides of the equation:
[tex]x \geq \frac {32} {8}\\x \geq4[/tex]
Thus, the solution is given by all the numbers greater than or equal to 4
Answer:
[tex]x \geq4[/tex]
Answer: [tex]x\geq4[/tex]
Step-by-step explanation:
Given the inequality [tex]8x-5\geq27[/tex], you need to solve for the variable "x".
You must follow these steps to solve for the variable "x":
- First, you need to add 5 to both sides of the inequality. Then:
[tex]8x-5+(5)\geq27+(5)\\\\8x\geq32[/tex]
- And finally, you need to divide both sides of the inequality by 8.
Therefore, you get:
[tex]\frac{8x}{8}\geq\frac{32}{8}\\\\x\geq4[/tex]