Which statement best describes the relationship between the number of cookies eaten and the number of calories consumed?
No relationship can be determined.
As the number of cookies eaten increases, the calories consumed decreases.
As the number of cookies eaten increases, the calories consumed increases.
As the number of cookies eaten decreases, the calories consumed increases.
Answer:
As the number of cookies eaten increases, the calories consumed increases.
Step-by-step explanation:
As we can see in the graphic with more cookies we have more calories. Because for 1 cookie we have 50 calories and for 5 cookies we have 200 calories.
Then as the number of cookies increases, the calories consumed increases.
How to round 4.253 to the nearest hundredths
Bryce collected data about the amount of time each student in history class spends studying. if the range is 1, what does this reveal about the data?
I have to find the unit rate of change. Can somebody plz explain to me how to do it. I have an idea but I don't remember exactly how.
The modified expression, x3(2x + 5) – 4(2x + 5), has two terms with a common factor
A refrigerator contains 11 drinks 5 lemons drinks 3 apple drinks and 3 orange drinks. Abby is first in the line for drinks. Telly is second. What is the probability that Abby will get a lemon drink and Telly will get an orange drink.
What are the x-intercepts of the graph of the function f(x) = x2 + 5x − 36?
Answer:
x intercepts are (4,0) and (-9,0)
Step-by-step explanation:
The given function graphed f(x) = x² + 5x -36 and we have to find the x-intercepts.
Since x intercepts means points on x-axis which will have y-coordinates as zero.
so f(x) = x² + 5x - 36 = 0
x² + 9x - 4x - 36 = 0
x(x+9) - 4(x-9) = 0
(x-4)=0 ⇒ x = 4
or ( x+9) = 0 ⇒ x = (-9)
Therefore, x intercepts are (4,0) and (-9,0)
Considering the definition of function quadratic and roots, the roots or x-intercepts of the graph of the function f(x) = x² + 5x − 36 are 4 and -9.
Function quadraticThe function f(x) = ax² + bx + c
with a, b, c real numbers and a ≠ 0, is a function quadratic expressed in its polynomial form (It is so called because the function is expressed by a polynomial).
Definition of rootsThe roots are those values of x for which the expression is 0, so it graphically cuts the x-axis.
This can be solved by:
[tex]x1, x2=\frac{-b+-\sqrt{b^{2} -4ac} }{2a}[/tex]
x-intercepts of f(x) = x² + 5x − 36In this case you know that a=1, b= 5 and c= -36. So the roots can be determined as:
[tex]x1=\frac{-5+\sqrt{5^{2} -4x1x(-36)} }{2x1}[/tex]
[tex]x1=\frac{-5+\sqrt{25 +144} }{2}[/tex]
[tex]x1=\frac{-5+\sqrt{169} }{2}[/tex]
[tex]x1=\frac{-5+13}{2}[/tex]
[tex]x1=\frac{8}{2}[/tex]
x1= 4
and
[tex]x2=\frac{-5-\sqrt{5^{2} -4x1x(-36)} }{2x1}[/tex]
[tex]x2=\frac{-5-\sqrt{25 +144} }{2}[/tex]
[tex]x2=\frac{-5-\sqrt{169} }{2}[/tex]
[tex]x2=\frac{-5-13 }{2}[/tex]
[tex]x2=\frac{-18 }{2}[/tex]
x2= -9
Finally, the roots or x-intercepts of the graph of the function f(x) = x² + 5x − 36 are 4 and -9.
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if a four sided figure has four right angles, then it has four congruent sides. Prove it wrong.
What is the área of a circule with a radious of 3 meters use 3.14
Solve the following proportion for v. v/8=13/11 Round your answer to the nearest tenth.
To solve the proportion v/8 = 13/11, cross-multiply and solve for v. The value of v is approximately 9.5.
Explanation:To solve the proportion v/8 = 13/11, we can cross-multiply and solve for v. Cross-multiplying gives us v * 11 = 8 * 13. Simplifying, we have 11v = 104. Dividing both sides by 11, we find that v = 104/11. Rounding to the nearest tenth, v ~ 9.5.
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A survey showed that 30% of students bring their lunch to school. The survey polled 300 students. How many of the 300 students do Not bring their lunch to school?
600 is 10 times as much as
For normally distributed data, what proportion of observations have z-scores satisfying the following conditions:
0.62 < z < 2.92
The ratio between the number of children (c) on a field trip and number of teachers (t) on the trips is (14)/(3). There are 70 children on the field trip. How many teachers are on the grip?
the length of a rectangle is 24 units. can the perimeter x of the rectangle be 60 units when its width y is 11 units
24 +24 = 48
11 + 11 = 22
48 +22 = 70
the perimeter cannot be 60 with dimensions of 24 & 11
3(n+11)-5n=-2(n-12)+9
The given equation simplifies to -2n + 33 = -2n + 33, where both sides are equal, hence 'n' can be any real number. Thus the equation has infinitely many solutions.
Explanation:This question pertains to solving a linear equation. The given equation is 3(n+11)-5n=-2(n-12)+9.
Let's solve this step by step:
First distribute 3 and -2 in the brackets (Order of Operations - BIDMAS/BODMAS). This will result in: 3n+33-5n = -2n + 24 + 9.Combine like terms on both sides of the equation to obtain: -2n + 33 = -2n + 33.Lastly you can see that both sides of the equation are equal, this means that n can be any real number.This indicates that we have infinitely many solutions because any value of 'n' satisfies this equation.
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What is the value of the expression All of 4.8 multiplied by 10 to the power 9 over all of 1.6 multiplied by 10 to the power 3
a carpet measures 7 ft long and has a diagonal measurment of 8.60 ft . How do i solve to find the width of the carpet?
The ratio of trumpet players to tuba players at a high school is 5:2 Which statement is true?
A.2/5 of the total tuba and trumpet players are tuba players.
B.The number of trumpet players is 2.5 times the number of tuba players.
C.There are 2 trumpet players for every 5 tuba players.
D.If there are a total of 100 trumpet and tuba players, 52 of them are tuba players.
The ratio of trumpet players to tuba players at the high school is 5:2. There are 2 trumpet players for every 5 tuba players.
Explanation:The ratio of trumpet players to tuba players at a high school is 5:2. This means that for every 5 trumpet players, there are 2 tuba players. Therefore, option C is correct, which states that there are 2 trumpet players for every 5 tuba players.
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Use long division to convert -45/8 to a decimal.
A. -5.625
B. -6.252
C. 5.625
D. 6.252
The hypotenuse of a right triangle is 37 mm. One leg of the right triangle is 12 mm. What is the length of the other leg?
Answer:
35 they are right
Step-by-step explanation:
How do variables help you model real-world situations? Give an example
part 2
Fred bakes 10 dozen cookies for the bake sale. He makes the following types of cookies:
. 1/2 chocolate chip
. 1/4 peanut butter
. 1/8 sugar cookies
. 1/8 oatmeal raisin cookies
4. How many of each type of cookie did Fred make? Show your work.
Chocolate chip_________
Peanut Butter _______
Sugar cookies ________
Oatmeal raisin_______
5. Unfortunately, Fred had some trouble in the kitchen and 3/5 of the peanut butter cookies were burned.
a. How many peanut butter cookies does Fred have left to sell? _____
b. Explain how you know this is correct.
A gardener uses a tray of 6 conical pots to plant seeds. Each conical pot has a radius of 3 centimeters and a depth of 8 centimeters. About how many cubic centimeters of soil are needed to plant the full tray? Round to the nearest cubic centimeter.
By definition, the volume of a cone is given by:
[tex] V = (\frac{1}{3}) * (\pi) * (r ^ 2) * (h)
[/tex]
Where,
r: radius of the circular base
h: height of the cone
Since we have 6 conical pots, then the total volume is:
[tex]Vt=6V[/tex]
[tex] Vt = 6 * (\frac{1}{3}) * (\pi) * (r ^ 2) * (h)
[/tex]
Substituting values we have:
[tex] Vt = 6 * (\frac{1}{3}) * (3.14) * (3 ^ 2) * (8)
Vt = 452.16 cm ^ 3
[/tex]
Rounding to the nearest cubic centimeter:
[tex] Vt = 452 cm ^ 3
[/tex]
Answer:
are needed 452 cm^3 of soil to plant the full tray
The cubic centimeters of soil are needed to plant the full tray is approximately 452cubic in
Volume of a coneThe formula for calculating the volume of a cone is expressed as:
V = 1/3πr²h
r is the radius = 3cm
h is the height = 8cm
Substitute
V = 1/3 * 3.14 * 3^2 * 8
V = 75.36 cubic cm
Since the gardener uses a tray of 6 conical pots to plant seeds, the total volume will be expressed as:
T = 6(75.36)
T = 452cubic in
Hence the cubic centimeters of soil are needed to plant the full tray is approximately 452cubic in
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Add 3 7/12 +2 7/9. Simplify the answer and write as a mixed number.
3 7/12 = 43/12
2 7/9 = 25/9
both denominators must be the same to add together.
(25/9)x 12
(43/12) x 9
300/108 + 387/108 =
687/108
which in its simplest form is 229/36
and in a mixed number is 6 13/36
For which of the following is x=-5 a solution? Select all that apply. A) x+10=-5 B) -x^2+50=25 C) l2xl =10 D) x<0 E) 2x<10
Let's check each of the cases to determine the solution of the problem
case A) we have
[tex]x+10=-5[/tex]
Substitute the value of [tex]x=-5[/tex] in the equation
[tex](-5)+10=-5[/tex]
[tex]5=-5[/tex] ------> the equation is not true
therefore
The value of [tex]x=-5[/tex] is not a solution of the equation
case B) we have
[tex]-x^{2} +50=25[/tex]
Substitute the value of [tex]x=-5[/tex] in the equation
[tex]-(-5)^{2} +50=25[/tex]
[tex]-(25) +50=25[/tex]
[tex]25=25[/tex] ------> the equation is true
therefore
The value of [tex]x=-5[/tex] is a solution of the equation [tex]-x^{2} +50=25[/tex]
case C) we have
[tex]\left|2x\right|=10[/tex]
Substitute the value of [tex]x=-5[/tex] in the equation
[tex]\left|2(-5)\right|=10[/tex]
[tex]\left|-10\right|=10[/tex]
[tex]10=10[/tex] -----> the equation is true
therefore
The value of [tex]x=-5[/tex] is a solution of the equation [tex]\left|2x\right|=10[/tex]
case D) we have
[tex]x < 0[/tex]
Substitute the value of [tex]x=-5[/tex] in the inequality
[tex]-5 < 0[/tex] --------> the inequality is true
therefore
The value of [tex]x=-5[/tex] is a solution of the inequality [tex]x < 0[/tex]
case E) we have
[tex]2x <10[/tex]
Substitute the value of [tex]x=-5[/tex] in the inequality
[tex]2*(-5) < 10[/tex]
[tex]-10 < 10[/tex] --------> the inequality is true
therefore
The value of [tex]x=-5[/tex] is a solution of the inequality [tex]2x <10[/tex]
the answer is
[tex]-x^{2} +50=25[/tex]
[tex]\left|2x\right|=10[/tex]
[tex]x < 0[/tex]
[tex]2x <10[/tex]
Answer:
Step-by-step explanation:
what number is 26.8% of 67.5?
and
325% of what is 78.65?
You fly in a helicopter for 20 minutes that goes at a speed of two 40 km/h how far did you go
answer both questions for brain
Answer:
19.SA of a cylinder = (2 * π * r²) + (2 * π * r * h)SA = (2 * π * 5²) + (2 * π * 5 * 20)SA = (2 * π * 25) + (2 * π * 5 * 20)SA = (2 * π * 25) + (2 * π * 5 * 20)SA = (157) + (628)SA = 785The answer is A. 785 square meters.20.SA of a rectangle = 2(wl + hl + hw)w = 15l = 4h = 14SA = 2(15*4 + 14*4 + 14*15)SA = 2(60 + 56 + 210)SA = 2(326)SA = 652The answer is B. 652 square centimeters.
Step-by-step explanation: I did the math and this is what I got.
What is P(0.6 ≤ z ≤ 2.12)?
The value of P(0.6 ≤ z ≤ 2.12) is, 26%
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
To Calculate the percent of a number , divide the number by whole number and multiply by 100.
Given that;
To find the value of P(0.6 ≤ z ≤ 2.12).
Now, We can simplify as;
P(0.6 ≤ z ≤ 2.12) = P( z ≤ 2.12) - P(z < 0.6)
So, From the Cumulative Standardized Normal Distribution table,
P( z ≤ 2.12) = 0.9830
P(z < 0.6) = 0.7257
Hence, We get;
P(0.6 ≤ z ≤ 2.12) = P( z ≤ 2.12) - P(z < 0.6)
P(0.6 ≤ z ≤ 2.12) = 0.9830 - 0.7257
P(0.6 ≤ z ≤ 2.12) = 0.2573
P(0.6 ≤ z ≤ 2.12) = 0.26
P(0.6 ≤ z ≤ 2.12) = 26%
Thus, The value of P(0.6 ≤ z ≤ 2.12) is, 26%
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