Answer:
9 candies
Step-by-step explanation:
You are required to find the number of candies in your pocket
Let
x = number of candies in your pocket
A friend gives you five more candies.
Total candies = 14
This can be represented by the equation:
Total candies = candies in your pocket + candies your friend gave you
14 = x + 5
14 - 5 = x
9 = x
x = 9 candies
x = number of candies in your pocket = 9
The function h is defined by
h(x)=x²-2.
Find h(2z)
Answer:
[tex]h(x) = {x}^{2} - 2 \\ h(2z) = {(2z)}^{2} - 2 \\ = 4 {z}^{2} - 2 \\ = 2( {2z}^{2} - 1)[/tex]
To make 12 cookies, you need 1.25cups of all-purpose flour, 110grams of butter, half cup of brown sugar and 1 teaspoon (tsp) of baking soda, what is the ratio of brown sugar is to baking soda is to butter to make 24 cookies is ?
Answer:
1 cup of brown sugar to 2 teaspoon of baking soda
Step-by-step explanation:
Given that 1.25cups of all-purpose flour, 110grams of butter, half cup of brown sugar and 1 teaspoon (tsp) of baking soda is needed to make 12 cookies. Therefore to make 24 cookies, double of this value would be needed.
Hence, 2.5 cups of flour, 220 grams of butter, 1 cup of brown sugar and 2 teaspoon of baking soda would be needed to make 24 cookies.
The ratio of brown sugar is to baking soda is to butter to make 24 cookies = 1 cup / 2 teaspoon = 1 cup of brown sugar to 2 teaspoon of baking soda
A rug like a rectangle has a width of 3 m . The length of the rug is 2 m greater than its widith . What is the perimeter of the rug in meters
Answer:
16m
Step-by-step explanation:
Given data
Width = 3m
Lenght = 2+3= 5m
We know that the expression for perimeter is
P= 2L+2W
Substitute
P= 2*5+ 2*3
P= 10+6
P= 16 m
Hence the perimeter is 16m
WHich of the following has the steepest slope?
a. y = -4x + 1
b. y = 2x + 3
c. y = x+6
d. y = -3x - 4
Answer: Choice A)
y = -4x+1
=======================================
Explanation:
The general format of a linear equation can be written as y = mx+b
m = slope
b = y intercept
The steepest slope is the value of m that is furthest away from zero. If m > 0, then we're looking for the largest value of m or value to the right of 0. If m < 0, then we're trying to get as left as possible.
Of the choices we have, choice A has the m value furthest from 0. If you want, you can make each slope positive and then compare to see which slope is largest.
Can anyone help me with this please?
Answer:
The ones selected are correct
At Sam’s Warehouse, a member pays $25 a year for a membership, and then buys all products at the regular store prices. A non-member does not pay the membership fee, but does pay an additional 5% above the store prices. Write and solve a system of equations to represent this situation where is the store price and is the total amount paid.xy
Answer:
[tex]y = 25 + x[/tex] --- Members
[tex]y = 1.05x[/tex] --- Non-members
Step-by-step explanation:
Given
[tex]x \to store\ price[/tex]
[tex]y\to total\ amount[/tex]
Members
[tex]Membership =\$25[/tex]
Non-members
[tex]Rate = 5\%[/tex] increase
For the members, the equation is:
[tex]y = Membership + Store\ price[/tex]
[tex]y = 25 + x[/tex]
For non-members, the equation is:
[tex]y = Store\ price * (1 + Rate)[/tex]
[tex]y = x * (1 + 5\%)[/tex]
[tex]y = x * (1.05)[/tex]
[tex]y = 1.05x[/tex]
Which graph represents equation (x-4)^2+(y+2)=16
F
H
G
I
Why is this? Recall that (x-h)^2+(y-k)^2 = r^2 is the general template of a circle. The center being (h,k) and the radius is r.
For the equation (x-4)^2+(y+2)^2 = 16, we have a center of (4,-2) and radius 4. Note that 4^2 = 16.
The graph of choice G shows these properties so that's why it's the answer. Keep in mind that each tickmark represents 2 units. Choice I is close since the center is correct but the radius is too small.
10.
Which explanation provides the best real-world scenario of the graph?
A. If an object is dropped from a height of 38 feet, the function h(t) = –16t2 – 38 gives the height of the object after t seconds.
B. If an object is dropped from a height of 38 feet, the function h(t) = –16t2 + 38 gives the height of the object after t seconds.
C. If an object is dropped from a height of –16 feet, the function h(t) = –16t2 + 38 gives the height of the object after t seconds.
Answer:
B. If an object is dropped from a height of 38 feet, the function h(t) = –16t2 + 38 gives the height of the object after t seconds.
Step-by-step explanation:
The equation that models the movement of the object is:
Where,
t: time
a: acceleration due to gravity
v0: initial speed
h0: initial height
Suppose that the object falls with zero initial velocity and from a height of 38 feet.
The equation that models the problem is:
Answer:
If an object is dropped from a height of 38 feet, the function h (t) = -16t2 + 38 gives the height of the object after seconds
Answer: If an object is dropped from a height of 38 feet, the function h (t) = -16t2 + 38 gives the height of the object after seconds
Step-by-step explanation:
i need help please hurry it needs to get turned in asappppp
Answer:
11.25
Step-by-step explanation:
2 7. Which numbers in the set {2,3,4,5} are solution(s) to the inequality 16 - 3x > 5?
A. 2 only
B. 3 only
C. 2 and 3
D.3,4, and 5
can you help me with this problem please?
Answer:
PR = 2*36 = 72
SU = (1/2)54 = 27
RS = 36
Step-by-step explanation:
By the Midpoint Theorem, the argent that connects midpoints of the sides of a triangle equals half the parallel side. That said,
PR is the full side that corresponds to midpoint segment TU. Therefore it's twice the distance of TU.SU is the midpoint segment that corresponds to fill side PQ and therefore half the distance.RS is half the the length of PR since S is the midpoint.guys whats 10x10 pls help me thank you
It's 100 ... ... ... ... ...
1. Factory in Wichita
The cost per unit for Wichita’s factory is graphed as a piecewise function over the domain [0, 35000]. a. Write one or two sentences to describe the cost function for the Wichita factory. (5 points) b. Write the piecewise function for the cost per unit for production of units in the Wichita factory. That is, state the function (), where is the number of units produced. (10 points) c. What is the cost per unit for 35,000 units? (5 points) d. According to the graph, if only one unit was produced, the cost per unit would be $1.00. In reality, the company would not call in its worker and start up the equipment to produce one unit. What safeguard do you think that many manufacturers use to avoid this type of problem? (5 points) e. Of the following three statements, choose the best option and write a viable argument showing how it is reflected by the Cost Function for Wichita’s factory. (10 points) ___ The electricity contract with the utility company is structured so that higher daily energy usage is charged at a lower rate.___ The plant’s production processes are performed primarily by robots that are able to work longer hours, when needed, at no additional cost.
___Overtime wages were required to produce at levels above 25,000 units.
2. Factory in Seattle Seattle’s factory is the company’s newest. It was constructed with sustainable building techniques and materials, so its cost structure has been affected in several ways. The Seattle plant uses a mix of solar power (not very reliable with so many clouds), thermal power, and wind. It has an array of batteries, so at the beginning of each production day, there is “free” stored energy that can produce up to 8,000 units. Of course, energy is just one factor of the cost of production, but it is significant.
The cost function for the Seattle factory is given by the following piecewise function. That is, ()is the cost function, where is the number of units produced. The plant’s maximum capacity is 42,000 units
per day.
() = { 0.35 ≤ 8,000
0.75 8,000 < ≤ 20,000
0.83 − ( 200,000) 20,000 < ≤ 42,000
a. Sketch a graph to model Seattle’s cost structure over the domain [0, 42000]. Be sure to label the axes and any endpoints where the graph breaks. (5 points)
b. Describe the function over each part of its domain. State whether it is constant, increasing, or decreasing, and state the slope over each part. (5 points)
3. Factory in Omaha Omaha’s factory has yet another type of cost structure. Its cost function is provided graphically. Its maximum capacity is 38,000 units per day.
a. At what rate is the cost per unit decreasing for production levels above 12,000?(5 points) b. State the function for the domain over [12000, 38000]. (10 points)
c. What is the cost per unit at the production level of 19,000? (5 points)
Omaha’s city council approved a special growth incentive that decreases the company’s tax burden for production levels above last year’s average. Explain how this is reflected by the Cost Function for Omaha’s factory. 4. Analysis and Making Production Decisions You have now provided your company’s management with powerful tools that model the cost of
Answer:
According to the graph, if only one unit was produced, the cost per unit would be $1.00. In reality, the company would not call in its worker and start up the equipment to produce one unit. What safeguard do you think that many manufacturers use to avoid this type of problem?
The per-unit cost will be as follows,
a) Wichita factory has cost function as more up to 25000 units and less for above 25000 units.
b) Piece wise function for cost per units for production of units can be written as
C(x) = cost per unit, will be as follows,
C(x)=1÷x,0 [tex]\leq[/tex] x [tex]\leq[/tex] 25000,
=0.8÷x, 25000 [tex]\leq[/tex] x [tex]\leq[/tex] 35000,
C) cost per unit for 35000 unit
=C(35000)= 0.8÷35000
= 2.28(10⁻⁵)
What is the cost per unit?Cost per unit is referred to the cost of goods sold or the cost of sales, is how much money a company spends on producing one unit of the product they sell.
Thus, the cost per unit will be 2.28(10⁻⁵).
Learn more about cost per unit here,
https://brainly.com/question/13333695
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(2,5) (0,-1)
whats the slope?
Answer:
Step-by-step explanation:
An easy way to do slope is to know the formula which is (y1-y2)/(x1-x2)
In this case you have two points (2,5) and (0,-1)
2 = x1 (cause it’s the first x)
5 = y1 (cause it’s the first y)
0 = x2 (second x)
-1 = y2 (second y)
So the slope would be
(5-(-1))/2-0= 6/2 = 3
Find the missing length of the triangle. 3.4 and 3.0
Answer:
4
Step-by-step explanation:
3 + 3.4 = 6.4
which is greater than 4
the sum of the 2 smallest sides have to be greater than the largest side
Find the volume of a sphere that has a radius of 6 in
Answer:
volume = 904.78 cubic inch
Step-by-step explanation:
[tex]Volume = \frac{4}{3} \pi r^3 = \frac{4}{3} \pi \times 6 \times 6 \times 6 = 904.78in^3[/tex]
Answer:
904,32 in³
Step-by-step explanation:
The formula for finding the volume of a sphere with given radius is:
[tex]V = \frac{4}{3}\pi r^3[/tex]
You simply substitute r³ with 6³:
[tex]V=\frac{4}{3} \pi 6^3[/tex]
Now you multiply 4/3 * 3,14 (pi) * 216 = 904,32 in³
please help me !! this diagram is not to scale.
Answers:
sin(A) = 7/25cos(A) = 24/25tan(A) = 7/24==============================================
Explanation:
We use these rules shown below
sin(angle) = opposite/hypotenusecos(angle) = adjacent/hypotenusetan(angle) = opposite/adjacentFor reference angle A, the side opposite it is BC = 7 which is as far as possible we can go from this angle. The closest we can get is AB = 24 which is the adjacent side. The hypotenuse is always the longest side, always opposite the largest angle (90 degrees).
Each fraction in bold shown above is reduced as much as possible. For example, 7/24 cannot be reduced since 7 and 24 have no factors in common other than 1.
Where do the negatives go on a fraction? Are they allowed to go on the numerator? And what does it mean when this happens?
5
- ——-
2
Find x.
[tex] \frac{x}{x + 7} = \frac{16}{22} [/tex]
The equals is for proportionate I couldn't find the symbol for it.
According to the property of proportions,
Product of means = Product of extremes
x and 22 are extremes. (x + 7) and 16 are means.So, simply we did cross multiplication.
Step-by-step explanation:
56/3 is the answer. Refer to the attachment for the solution. :)
find the missing side
Answer:
x = 27.6907 units
Step-by-step explanation:
cos (62) = 13/x
x cos (62) =13
13 / cos(62)=x
x is 27.6907 units
Based on the labels in the diahram of the human eye,the reader can conclude that
help me plsssssssssssss
Answer:
do you still need help
Step-by-step explanation:
???
Given f(x) = x^2 + 2 and g(x) = 2 – x, find a simplified expression for f(2x) + g(3x).
Answer:
f(2)+g(3) = 5
Step-by-step explanation:
Given that,
f(x) = x² + 2
g(x) = 2-x
We need to find the value of f(2)+g(3).
f(2) = 2² + 2 = 6
g(3) = 2 – 3 = -1
So,
f(2)+g(3) = 6+(-1)
= 5
Hence, the value of the given expression is 5.
4. Tyquan had his car towed by Lakeview's Towing Service. It cost him $3.00 per mile to have it towed
plus a flat fee of $70.00. The function for his cost is represented by the function C(m) = 3m + 70. What
does C(22) represent in this situation?
a. Tyquan had hisbear towed for 136 mile and it cost $22.00
b. Tyquan had his car towed for 22 miles and it cost him $136.00
c. Tyquan had his car towed for 3 miles at $70.00
d. Tyquan had his car towed 22 miles for $70.00
The answer is b. because the other ones don't charge money according to the number of miles.
Answer:
The structure that you used in your research paper can also be used for your presentation. For example, just like how your
Step-by-step explanation:
Please Help Me With This Problem.
A grocery store receives a shipment of potatoes weighing a total of 180-pounds. The shipment contains six 10-pound bags of potatoes and an unknown number of 5-pound bags of potatoes. Write and solve an equation so that you can describe the number of 5-pound bags of potatoes in the shipment. You got this.
Answer:
10(6) + 5x = 180
60 + 5x = 180
- 60 - 60
---------------------
5x = 120
------------
5 5
x = 24
Step-by-step explanation:
The shipment contains a total of 180 pounds of potatoes. There are two types of bags of potatoes. One weighing 10 pounds and the other weighing 5 pounds. There are 6 bags of potatoes weighing 10 pounds each and x bags of potatoes weighing 5 pounds each. Two numbers can be added up to bring a total of 180 so we can write this equation as 10(6) + 5x = 180. This problem speaks of pounds in particular so that is why 10 and five go in front of the secondary numbers. After that, just solve. The steps are shown above. ^^^ If I am wrong, please let me know. I hope this helps! :D
Find the equation of the circle whose center and radius are given.
center ( 7, -3), radius = 7
Answer:
(x-7)^2 + (y+3)^2 = 49
Step-by-step explanation:
The general equation for a circle is given by
(x-h)^2 + (y-k)^2 = r^2
where ( h,k) is the center and r is the radius
(x-7)^2 + (y- -3)^2 = 7^2
(x-7)^2 + (y+3)^2 = 7^2
(x-7)^2 + (y+3)^2 = 49
Answer;
(x-7)^2 + (y+3)^2 = 49
Step-by-step explanation:
The general equation for a circle is given by
(x-h)^2 + (y-k)^2 = r^2
where ( h,k) is the center and r is the radius
(x-7)^2 + (y- -3)^2 = 7^2
(x-7)^2 + (y+3)^2 = 7^2
(x-7)^2 + (y+3)^2 = 49
what will the remainder over the divisor?
Tina has ½ of a pan of cornbread leftover from a dinner party. She eats ½ of the leftover part the next night. How much of the whole pan does she eat? *
1/2
1/8
1/4
Can someone please help me out with this? *with full explanation
no bots please, thank you!!
Answer:
Well if perminder = 52ft that means x=5b8
Step-by-step explanation:
A Stats test has 5 multiple choice questions with four choices with one correct answer each. If we just randomly guess on each of the 5 questions, what is the probability that you get exactly 2 questions correct
Answer:
0.0512
Step-by-step explanation:
Probability of making a correct guess ; p = 1 / 5 = 0.2
q = 1 - p = 1 - 0.2 = 0.8
Number of questions, n = 5
Using the binomial probability relation :
P(x = x) = nCx * p^x * q^(n-x)
P(x = 3) = 5C3 * 0.2^3 * 0.8^2
P(x = 3) = 0.0512