Answer:
5 miles
Step-by-step explanation:
25% of 4 is equal to 1. If you add that 25% (or the number 1) you get 5 as your answer!
:)
What is the area of the fire pit? (Use 3.14 for pi.)
Answer:
[tex]Area = 65.94[/tex]
Step-by-step explanation:
I will assume that the shaded region is the fire pit
Given
[tex]R = 5[/tex]
[tex]r = 2[/tex]
Required
Determine the area of the fire pit
First, calculate the area of the big circle.
[tex]A_2 = \pi R^2[/tex]
Area of the small is:
[tex]A_1 = \pi r^2[/tex]
The area of the pit is:
[tex]Area = A_2 - A_1[/tex]
[tex]Area = \pi R^2 - \pi r^2[/tex]
[tex]Area = \pi (R^2 - r^2)[/tex]
[tex]Area = 3.14 (5^2 - 2^2)[/tex]
[tex]Area = 3.14 (25 - 4)[/tex]
[tex]Area = 3.14 * 21[/tex]
[tex]Area = 65.94[/tex]
Little help ?please 5 points
Tawna and Donnie Milled cartons with bottles, Tawna put in 10 bottles and Bonnie put in a bottles, How many bottles does each carton hold?
Answer:
I Think E But Im Not Sure About It
In the year 2001, a person bought a new car for $15500. For each consecutive year after that, the value of the car depreciated by 5%. How much would the car be worth in the year 2005, to the nearest hundred dollars?
Answer:
$12,000.
Step-by-step explanation:
Given that in the year 2001, a person bought a new car for $ 15500, and for each consecutive year after that, the value of the car depreciated by 5%, to determine how much would the car be worth in the year 2005, to the nearest hundred dollars, the following calculation must be performed:
100-5 = 95
15,500 x 0.95 x 0.95 x 0.95 x 0.95 x 0.95 = X
14.725 x 0.95 x 0.95 x 0.95 x 0.95 = X
13,988.75 x 0.95 x 0.95 x 0.95 = X
13,289.3125 x 0.95 x 0.95 = X
12,624.846875 x 0.95 = X
11.993.60453125 = X
Thus, to the nearest hundred dollars, the cost of the car after 5 years will be $ 12,000.
Order the cars based on how far they drive on 1 gallon of gas. Place the car that travels
farthest on top.
0.2 gallons used for 7 miles
0.5 gallons used for 12 miles
0.9 gallons used for 25 miles
Step-by-step explanation:
First car.
0.2 gallons used for 7 miles.
Distance drive on 1 gallon of gas [tex]=\dfrac{7}{0.2}=35\ \text{miles}[/tex]
Second car.
0.5 gallons used for 12 miles.
Distance drive on 1 gallon of gas [tex]=\dfrac{12}{0.5}=24\ \text{miles}[/tex]
Third car.
0.9 gallons used for 25 miles.
Distance drive on 1 gallon of gas [tex]=\dfrac{25}{0.9}=27.8\ \text{miles}[/tex]
So, the first car traveled fast while the second car traveled least. Hence, the sequence is first car > third car > second car.
Simplify the expression 1 + 4.25n + 3/2p -3 + (-2p) + 5/4n
Answer:
5.5n -2 -0.5p
Step-by-step explanation:
Make Everything to either decimals or fractions.
then simplify as shown
1.5 x 2.5
Or 0.9 x 27
Answer:
what was the question I dont get it pls
Step-by-step explanation:
u can tell me
Is 13:15 and 30:26 a pair of equivalent ratios and why?
Given:
The two ratios are 13:15 and 30:26.
To find:
Whether the given ratios are equivalent or not.
Solution:
Two ratios are equivalent if the values of the ratio are equal after simplification.
[tex]13:15=\dfrac{13}{15}[/tex]
And,
[tex]30:26=\dfrac{30}{26}[/tex]
[tex]30:26=\dfrac{15}{13}[/tex]
[tex]30:26=15:13[/tex]
The first ratio is 13:15 and the value of second ratio after simplification is 15:13 both ratios are different, so,
[tex]\dfrac{13}{15}\neq \dfrac{30}{26}[/tex]
Therefore, the required answer is "No", the given ratios are not a pair of equivalent ratios.
let f(x)=x^2 +2 and g(x)=1-3x. find each function value: (fg)(-1)
Answer:
12
Step-by-step explanation:
so basically
(x^2+2)*(1-3x)=-3x^3+x^2-6x+2
now plug in -1
-3(-1)^3+(-1)^2-6(-1)+2=12
hope this helped :)
The correct value of (fg)(-1) is "12". A further solution of the given query is provided below.
Given functions are:
[tex]f(x) = x^2+2[/tex]
[tex]g(x) = 1-3x[/tex]
Now,
⇒ [tex](fg) = (x^2+2)(1-3x)[/tex]
By applying multiplication, we get
[tex]=x^2+2-3x^3-6x[/tex]
[tex]=-3x^3+x^2-6x+2[/tex]...(equation 1)
By substituting the value "-1" in place of "x" in equation 1, we get
⇒ [tex](fg)(-1) = -3(-1)^3+(-1)^2-(6)(-1)+2[/tex]
[tex]=-3(-1)+1+6+2[/tex]
[tex]=3+1+6+2[/tex]
[tex]=12[/tex]
Thus the right answer is (fg)(-1) = 12.
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a pair of awesome skinny jeans cost $25 but it is on sale for 25% off. score if tax is 8% what is the total cost
Answer:
The answer would be 20.25 i think!
Step-by-step explanation:
Verify that parallelogram ABCD with vertices A(-5, -1), B(-9, 6), C(-1, 5), and D(3, is a rhombus by showing that it is a parallelogram with perpendicular diagonals.
multiplication of the gradients of the two diagonals is equals to -1 if they are perpendicular
David says that he can apply the commutative and
distributive properties to 7s + 8 + 5s to get 12s + 8.
Hope this helps! I had hw similar to this... so..
a patient needs fluid and carbohydrates for nutrition. which fluids is the patient likely to be administered
Answer:
5% Dextrose
Step-by-step explanation:
Dextrose is primarily used as a carbohydrate for nutrition and as a source of fluid. Whereas Sodium chloride is primarily used as a source of fluid and electrolytes.
A patient needs fluid and carbohydrates for nutrition. The fluid that the patient is likely to be administered is TNP. The patient needs fluid and carbohydrates for nutrition. The correct option is b.
What is TNP?Total parenteral nutrition (TPN) is a feeding technique that omits the digestive system. The majority of the body's nutritional requirements are met by a specific formula administered intravenously.
When a person cannot or shouldn't receive feedings or fluids orally, the technique is utilized. The term "parenteral nutrition," sometimes known as "total parenteral nutrition," refers to the practice of administering a unique type of food through a vein (intravenously).
The treatment's aim is to treat or stop malnutrition. TPN is made up of many components that are mixed together. These components include dextrose, lipid emulsions, amino acids, vitamins, electrolytes, minerals, and trace elements.
Therefore, the correct option is b, total parenteral nutrition.
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The question is incomplete. Your most probably complete question is given below:
a. protein
b. total parenteral nutrition.
c. iodine
d. fats
1) Find all the critical numbers of the given function
f(x) = X 1 - 4
-
3
Answer:
(0,-4)
Step-by-step explanation:
Given
[tex]f(x) = x^\frac{1}{3} - 4[/tex]
Required
Determine the critical numbers
[tex]f(x) = x^\frac{1}{3} - 4[/tex]
Differentiate:
[tex]f'(x) = \frac{1}{3}x^{\frac{1}{3} - 1}[/tex]
[tex]f'(x) = \frac{1}{3}x^{-\frac{2}{3}}[/tex]
Equate to 0
[tex]f'(x) = \frac{1}{3}x^{-\frac{2}{3}} = 0[/tex]
[tex]\frac{1}{3}x^{-\frac{2}{3}} = 0[/tex]
Multiply through by 3
[tex]3 * \frac{1}{3}x^{-\frac{2}{3}} = 0*3[/tex]
[tex]x^{-\frac{2}{3}} = 0[/tex]
[tex]x = 0[/tex]
Substitute 0 for x in [tex]f(x) = x^\frac{1}{3} - 4[/tex]
[tex]f(0) = 0^\frac{1}{3} - 4[/tex]
[tex]f(0) = 0- 4[/tex]
[tex]f(0) = - 4[/tex]
Hence, the critical point is: (0,-4)
6x + 7y = 3y - 3
Step 2 of 2: Find the equation of the line which passes through the point (-13, -8) and is perpendicular to the given line.
Express your answer in slope-intercept form. Simplify your answer.
Answer:
y = 2x/3 + 2/3
Step-by-step explanation:
1. Find the slope of the given line.
y = mx + b
6x + 7y = 3y -3
4y = -6x - 3
y = (-6x-3)/4 = -3x/2 - 3/4
The slope of y = -3/2
The slope of a line perpendicular to the line of 6x + 7y = 3y -3 would be the negative reciprocal of the slope so the slope of the line perpendicular would be -1/(-3/2) = 2/3
The equation would be:
y = 2x/3 + b
Since b is unknown, but a point is known, we plug in x and y values.
-8 = 2*(-13)/3 + b
Then solve for b:
b = 2/3
Examine the steps used to solve the equation.
Negative 3 y + two-thirds = 2 y minus 4. 1. Two-thirds = 5 y minus 4. 2. StartFraction 14 Over 3 EndFraction = 5 y. 3. (one-fifth) StartFraction 14 Over 3 EndFraction = (one-fifth) 5 y.
Evaluate the steps used to solve the equation, and then describe each step.
Step 1:
Step 2:
Step 3:
What is the solution to the equation?
y =
Answer:
can confirm guy or girl above me
Step-by-step explanation:
The solution to the equation is y=14/15.
The given equation is -3y+2/3=2y-4.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Now, transpose -3y to RHS and simplify.
That is, 2/3=5y-4
Transpose -4 to LHS and simplify.
That is, 14/3=5y
Multiply by 1/5 on both sides of the equation.
So, 14/3×1/5=5y×1/5
⇒y=14/15
Therefore, the solution to the equation is y=14/15.
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Find tan(B) in the triangle.
Answer:
3/4
Step-by-step explanation:
The value of tangent ratio [tex]tan \beta[/tex] in the triangle is [tex]\frac{3}{4}[/tex].
What is trigonometric ratio?Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.
Review all six trigonometric ratios: sine, cosine, tangent, cotangent, secant, & cosecant.
Tangent ratioTangent ratio is yet another trigonometric ratio for right-angled triangles. Tangent ratio is the ratio of opposite side to adjacent side of a right triangle.
According to the triangle ABC
<C = [tex]90^{0}[/tex], <B = [tex]\beta[/tex], AB = 5, BC = 4, AC = 3
Tangent ratio is the ratio of opposite side to adjacent side of a right triangle.
Tangent ratio is one of the trigonometric ratios.
[tex]tan \beta=\frac{AC}{BC} = \frac{3}{4}[/tex]
Hence,
The value of [tex]tan \beta[/tex] in the triangle is [tex]\frac{3}{4}[/tex].
Find out more information about tangent ratio here
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The sum of 3 and
twice the number n
Absolute value of - 2/7
Answer:
Absolute value of - 2/7 is -0.285714285
Use the diagram below to find x and each missing angle.
what is the volume of a cube with 2 1/4 inch sides
Answer:11.39
Step-by-step explanation:
What is 23x56÷67-68?
Hurry plz
Me give brainliest
Thanks in advance
Answer:
-48.4328358209
Step-by-step explanation:
hope this helps!!!
Answer:
If you meant 68-67 then it would be 1288
But if you meant 67-68 it is -1288
(I really hope this isn't hard to understand).
Ms.Gallegos burns 236 calories
4. Marlie made her last monthly interest-only payment on December 1. Her next payment is due on
January 1. What will be the amount of that interest-only payment?
en
Answer:
ella tiene que pagar 10 por mes. lo siento si no es así, esa no es la respuesta correcta.
Step-by-step explanation:
Students at a major university are complaining of a serious housing crunch. Many of the university's students, they complain, have to commute too far to school because there is not enough housing near campus. The university officials respond with the following information:
The mean distance commuted to school by students is 17.1 miles, and the standard deviation of the distance commuted is 3.7 miles. Assuming that the university officials' information is correct, complete the following statements about the distribution of commute distances for students at this university.
1) According to Chebyshev's theorem, at least 36% of the commute distances lie between miles and miles. (Round your answer to 1 decimal place.)
2) According to Chebyshev's theorem, at least of the commute distances lie between 9.7 miles and 24.5 miles.
a) 56%
b) 75%
c) 84%
d) 89%
3) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately of the commute distances lie between 9.7 miles and 24.5 miles.
a) 68%
b) 75%
c) 95%
d) 99.7%
4) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately 68% of the commute distances lie between miles and miles.
Answer:
1) Between 12.5 miles and 21.7 miles.
2) b) 75%
3) c) 95%
4) Between 13.7 miles and 20.5 miles.
Step-by-step explanation:
Empirical Rule:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviations of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
Chebyshev Theorem:
The Chebyshev Theorem can also be applied to non-normal distribution. It states that:
At least 75% of the measures are within 2 standard deviations of the mean.
At least 89% of the measures are within 3 standard deviations of the mean.
An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]P = 100(1 - \frac{1}{k^{2}})[/tex].
1) According to Chebyshev's theorem, at least 36% of the commute distances lie between miles and miles.
Within k standard deviations of the mean, and k is found when [tex]P = 36[/tex]. So
[tex]P = 100(1 - \frac{1}{k^{2}})[/tex]
[tex]36 = 100 - \frac{100}{k^2}[/tex]
[tex]\frac{100}{k^2} = 64[/tex]
[tex]64k^2 = 100[/tex]
[tex]k^2 = \frac{100}{64}[/tex]
[tex]k = \sqrt{\frac{100}{64}}[/tex]
[tex]k = \frac{10}{8}[/tex]
[tex]k = 1.25[/tex]
Within 1.25 standard deviations of the mean.
1.25*3.7 = 4.6 miles
17.1 - 4.6 = 12.5 miles
17.1 + 4.6 = 21.7 miles
Between 12.5 miles and 21.7 miles.
2) According to Chebyshev's theorem, at least of the commute distances lie between 9.7 miles and 24.5 miles.
17.1 - 9.7 = 24.5 - 17.1 = 7.4 miles, so within 2 standard deviations of the mean, which is 75%, option B.
3) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately of the commute distances lie between 9.7 miles and 24.5 miles.
Within 2 standard deviations of the mean, by the Empirical Rule, which is 95%, option c.
4) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately 68% of the commute distances lie between miles and miles.
Within 1 standard deviation of the mean.
17.1 - 3.4 = 13.7
17.1 + 3.4 = 20.5
Between 13.7 miles and 20.5 miles.
1 1/3+2 3/4 simplified
Answer:
4 1/12
Step-by-step explanation:
Answer: 4 1/2
cause it is
A local pizza place sends you online coupons. You can't combine the coupons and are trying to choose from two deals: $7.41 per medium two-topping pizza or 22% off the regular price of $11 for a medium two-topping pizza. Which deal is better and when?
Answer:
Step-by-step explanation:
W1
Line DCE is parallel to line AB
a) Find the size of angle ABC
b) Find the size of angle DCA
c) Calculate the size of angle ACB
Answer:
Angle DCA = Angle CAB. (Alternate Interior Angle)
Angle DCA = 68°
Angles(DCA + ACB + BCE) = 180°. (Linear Pair)
Angle ACB + 68° + 33° = 180°
Angle ACB = 79°
Therefore,
Angle ABC = 33°. (Alternate Interior Angle)
Find the value of (1.7)²
2.89
Hope you got your answer.
Solve the equation: p2 - 4p + 4 = 0.
Perfect square trinomial
[tex] \boxed{ a^2 \pm 2ab+b^2 = (a \pm b)^2 } [/tex]
Using the perfect square trinomial
[tex] p^2 - 4p + 4 = 0 [/tex]
[tex] p^2 - 2(2p) + (2)^2 = 0 [/tex]
[tex] (p-2)^2 = 0 [/tex]
[tex] (p-2) = 0 [/tex]
[tex] p = 2 [/tex]
[tex]\huge\text{Hey there!}[/tex]
[tex]\bold{p^2-4p+4=0}[/tex]
[tex]\text{FACTOR the LEFT side of your equation}\\\bold{(p-2)(p-2)=0}[/tex]
[tex]\text{SET each of your FACTORS TO EQUAL to 0}\\\bold{p-2=0\ or\ p-2=0}[/tex]
[tex]\text{SIMPLIFY the equations\ above and you will have your answer}[/tex]
[tex]\boxed{\boxed{\bold{Answer: \large\text{\bf{p = 2}}}}}\huge\checkmark[/tex]
[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
En un banco ,$784.00 producen $117.60 de interes en un tiempo y a una tasa determinada.Que interes produciran $792.00 en ese banco ,en ese mismo tiempo y a esa misma taza? matematicas
Answer:
I wish i could help you but i cant because i don't speak your language im sorry.
Step-by-step explanation: