Answer:
54.6
Step-by-step explanation:
(18⅕ miles)/(⅓ hour) = ((18⅕)×3 miles)/hour = 54.6 miles per hour
The unit rate of the top running speed of a horse in miles per hour is 54.6 miles per hour.
What is the unit rate?There is an independent quantity, and a quantity that depends on it (dependent quantity). When independent quantity moves by a unit measurement (single unit increment), the increment in dependent quantity is called the rate of increment of dependent quantity per unit increment in independent quantity.
Speed can be calculated as the ratio of the distance traveled to the time taken by the object.
We have been given that horses can run at a top speed of 18⅕ miles in 1/3 hour.
Therefore, Distance = 18⅕ miles
Speed = 18⅕ miles in 1/3 hour.
Thus, we get;
Unit rate= (18⅕ miles) / (⅓ hour)
Unit rate = ((18⅕)×3 miles)/hour
Unit rate = 54.6 miles per hour
Therefore, the unit rate of the top running speed of a horse in miles per hour is 54.6 miles per hour.
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Find the distance d(P1, P2) between the points P1 and P2.
P1 = (4,-5); P2 = (3,3)
d(P1,P2) =
(Simplify your answer. Type an exact answer, using radicals as needed.)
Answer:
[tex]\displaystyle d = \sqrt{65}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
P1 (4, -5) → x₁ = 4, y₁ = -5
P2 (3, 3) → x₂ = 3, y₂ = 3
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(3-4)^2+(3--5)^2}[/tex][Distance] [√Radical] (Parenthesis) Simplify: [tex]\displaystyle d = \sqrt{(3-4)^2+(3+5)^2}[/tex][Distance] [√Radical] (Parenthesis) Subtract/Add: [tex]\displaystyle d = \sqrt{(-1)^2+(8)^2}[/tex][Distance] [√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{1+64}[/tex][Distance] [√Radical] Add: [tex]\displaystyle d = \sqrt{65}[/tex]A line passes through the points (4,9) and (12,20) what is the slope of the line?
Answer:
11/8
Step-by-step explanation:
[tex]slope = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
20 - 9 = 11
12 - 4 = 8
slope = 11/8
a wall that is 4 ft. 3 in. tall is next to a tree. the figure shows the shadows that they cast. what is the height of the tree in feet and inches?
Answer:
[tex]Tree = 17ft[/tex]
Step-by-step explanation:
Given
[tex]Wall = 4ft\ 3in[/tex]
[tex]Wall\ Shadow = 6ft[/tex]
[tex]Tree\ Shadow = 24ft[/tex]
Required:
Determine the height of the tree
To do this, we make use of the following equivalent ratios
Wall : Wall Shadow = Tree : Tree shadow
Substitute values for Wall, Wall Shadow and Tree Shadow
[tex]4ft\ 3in : 6ft = Tree : 24ft[/tex]
Convert all units to ft
[tex]4ft+ 0.25ft : 6ft = Tree : 24ft[/tex]
[tex]4.25ft : 6ft = Tree : 24ft[/tex]
Convert to fractions
[tex]\frac{4.25ft}{6ft} = \frac{Tree }{ 24ft}[/tex]
Cross Multiply
[tex]Tree * 6ft = 4.25ft * 24ft[/tex]
[tex]Tree * 6ft = 102ft^2[/tex]
Make Tree the subject
[tex]Tree = \frac{102ft^2}{6ft}[/tex]
[tex]Tree = \frac{102ft}{6}[/tex]
[tex]Tree = 17ft[/tex]
Hence, the tree is 17ft tall
The recommended daily dietary allowance for zinc among males older than age 50 years is 15 mg/day. The article "Nutrient Intakes and Dietary Patterns of Older Americans: A National Study" (J. of Gerontology, 1992: M145–150) reports the following summary data on intake for a sample of males age 65–74 years: n=115, barx =11.3, and s=6.43. Does this data indicate that average daily zinc intake in the population of all males ageing 65–74 falls below the recommended allowance?
A. State the null and alternative hypotheses.
B. Calculate the test statistic
C. Define the rejection region at ?=0.05.
D. Make a decision about the test and interpret.
E. Find the p-value corresponding to the test and based on which make a decision about the test. (The decision should be the same with D.)
Answer:
H0 : μ = 15
H1 : μ < 15
−6.170774
Step-by-step explanation:
Given :
n=115, barx =11.3, and s=6.43
H0 : μ = 15
H1 : μ < 15
−0.053658 ;
The test statistic :
(xbar - μ) ÷ s/sqrt(n)
(11.3 - 15) ÷ (6.43/sqrt(115))
Test statistic = −6.170774
Rejection region :
Reject Null ; if
Tstatistic < Zcritical
The P value is 0.00001 ; using the p value from Z calculator
Since,
P value < α
0.00001 < 0.05
Reject the null
11. Harvey the wonder hamster can run 3 1/4 km in 1/2 hour. If Harvey runs at a constant rate, how fast can he run in 1 hour. (Write your answer as a decimal.) *
Answer:
He runs 6.5 km in one hour.
Step-by-step explanation:
3 ¼ km per half hour = 6.5 km per hour.
Answer:
12 2/3
Step-by-step explanation:
there are 4 quarters to 1 hour
3 1/6 x 4 =
19/6 * 4 = 76/6 = 12 4/6, reduces to 12 2/3 km per hour
pls mark brainliest
The slope is 2.
O True
O False
Answer:
false
Step-by-step explanation:
`Slope = [tex]\frac{rise}{run}[/tex] = [tex]\frac{-2}{1}[/tex]. So, it is false.
Answer:
False
Step-by-step explanation:
Slope = Change in y/ Change in x
=(1-3)/(2-1)
=-2
Solve and check the linear equation.
3(x-2) + 8 = 2(x + 5)
Answer:
x = 8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
3(x - 2) + 8 = 2(x + 5)
Step 2: Solve for x
(Parenthesis) Distribute: 3x - 6 + 8 = 2x + 10Combine like terms: 3x + 2 = 2x + 10{Subtraction Property of Equality] Subtract 2x on both sides: x + 2 = 10[Subtraction Property of Equality] Subtract 2 on both sides: x = 8Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 3(8 - 2) + 8 = 2(8 + 5)(Parenthesis) Subtract/Add: 3(6) + 8 = 2(13)Multiply: 18 + 8 = 26Add: 26 = 26Here we see that 26 does indeed equal 26.
∴ x = 8 is the solution to the equation.
In the text box, write the next 3 terms in the sequence and describe the pattern. In the checkbox, identify if the sequence is arithmetic, geometric or neither and identify if the sequence has a common ratio, a common difference or neither.
-4, -2, 0, 2, ____, ____, ____,
Arithmetic
Geometric
Neither
Common difference
Common ratio
Answer:
d = 2
Next 3 terms = 4, 6 and 8
Step-by-step explanation:
Given the sequence
-4, -2, 0, 2, ____, ____, ____,
common difference = -2-(-4) = 0-(-2) = 2
Since they have the same common difference, hence it is an arithmetoc progression
Tn = a +(n-1)d
a is the first term = -4
n is the number of terms
d is the common difference = 2
Get the fifth term
T5 = -4+(5-1)2
T5 = -4+(4)(2)
T5 = -4 + 8
T5 = 4
T6 = -4+(6-1)2
T6 = -4+(5)(2)
T6 = -4 + 10
T6 = 6
T7 = -4+(7-1)2
T7 = -4+(6)(2)
T7 = -4 + 12
T8 = 8
Hence the next 3 terms are 4, 6 and 8
Average movie prices in the United States are, in general, lower than in other countries. It would cost $78.23 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japan would cost $74.02 . How much does an average movie ticket cost in each of these countries?
Answer:
In costs $17.19
Step-by-step explanation:
The medical practice you are working at has seen an average of 22.4 patients a day for the past 3 months. 3/4ths of those patients have insurance in one form or another.
Classify the following triangle Check all that apply.
12
YON
NA, obtuse
LM B salene
u Cequilateral
D. sosceles
E, acute
O Fright
Answer:
B and E
Step-by-step explanation:
✔️The triangle given has 3 unequal angles and 3 unequal side lengths. A scalene triangle has unequal angles and side lengths. Therefore, the triangle above is a scalene triangle.
✔️Each of the 3 angles of the triangle is less than 90°. An acute triangle has each of its 3 interior angles measuring less than 90°. Therefore the given triangle above is an acute triangle.
Sam ate 2/7 of a pizza. Jules ate 2/5 of the same pizza, not the portion of it left by Sam. How much was left. Write a fraction.
What does this fraction show or model what’s the answer I need help
Answer:
I belive that the answer is D because there is 2 items and if u count the different colors by 1 it would be 6
Name the segment that is parallel to the
given segment.
9. AB
10. BC
11. EF
12. CA
13. GE
14. FG
Answer:
13 is the answer (GE) i hope this helped
What is the slope-intercept form of the equation of the line parallel to the line in the graph that passes through the point (-1, 1)?
Answer:
undefined
Step-by-step explanation:
The product of two numbers is 110 the difference of two numbers is one what are the two numbers
Answer:
The correct answer is 10 and 11.
4. The length of a rectangle is eight more
than twice its width. The perimeter is 96
feet. Find the dimensions of the rectangle.
Variable:
Equation:
Solution:
Answer:
L = length
W = width
L = 2(2W + 8)
W = 2W
Perimeter: 96 = 4W + 16 + 2W
96 = 6W + 16
80 = 6W
13.33 = W
Plug this into the equation:
2(13.33) + 8
26.67 + 8 or 34.67 = L
Step-by-step explanation:
Help with geometry please
9514 1404 393
Answer:
27/36
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that the tangent relation is ...
Tan = Opposite/Adjacent
tan C = AB/CB
tan C = 27/36
QUICK HELP FIRST ONE TO ANSWER ILL MARK BRAINLIEST A rectangular prism has a square base whit a side length of 6 centimeters the height of the prism is 9 centimeters.what is the volume of the rectangular prism is cubic centimeters
Answer:
324 centimeters³
Step-by-step explanation:
The base is square so the length and width are both 6. The height is 9. The formula to solve a rectangular prism's volume is length x width x height. In this case it's 6 x 6 x 9. This is 324.
Hope it helps!
1. identify the corresponding sides on the figure below
Identify the expression 64^(1/2) shows the following number rewritten as a radical.
√(1/2&64)
√64
1/2 √64
8
Show your work.
Answer:
√64
Step-by-step explanation:
In mathematics, an expression involving the root (√) sign is regarded as a radical.
64^(1/2)
This is the same as;
√64
- √(1/2&64) This option is wrong.
- √64 This option is correct
- 1/2 √64 This option is wrong.
- 8 This option is wrong.
Combine these radicals.
- 12V12-23
O -503
0-2275
O -263
0 -10/12
Answer
its the 3rd answer 26V3
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Please help im confused
Answer:
1) 65.1
2) 3.4
Step-by-step explanation:
sorry I can't explain well but those are the answers
Answer:
Step-by-step explanation:
area of rectangle = 8×5 = 40 cm²
area of semicircle = ½×π4² = 8π cm²
total area = 40 + 8π ≅ 65.1 cm²
:::::
area of circle = π2² = 4π in²
area of square = 4⁴ = 16 in²
blue area = 16 - 4π ≅ 3.4 in²
How many gallons of a 25% acid solution should be added to 10 gallons of a 12% acid solution to obtain a 20% acid solution?
Answer:
16 Gallons
Step-by-step explanation:
x = 25% gallon amount
.25 x + .12 (10) = .20 (10+x)
.05x = .8
x = 16 gal of 25%
The number of gallons of acid solution that should be added to 10 gallons of a 12% acid solution to obtain a 20% acid solution is 16.
What is the equation?An assertion that two mathematical expressions have equal values is known as an equation. An equation simply states that two things are equal. The equal to sign, or "=," is used to indicate it.
Given:
The percentage of acid in gallon solution = 25%,
The percentage of acid in 10 gallons = 12%
Suppose there are x total gallons,
Write the equation as shown below,
25% of (x - 10) + 12% of 10 = 20% of x
0.25 × (x - 10) + 0.12 × 10 = 0.2x
0.25x - 2.5 + 1.2 = 0.2x
0.25x - 0.2x = 2.5 - 1.2
x = 1.3 / 0.05
x = 26
Thus, the number of gallons of 25% acid solution = 26 - 10 = 16.
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According to Open Data Network, in 2016 there were approximately 3,737 people per square mile in Houston, Texas. If Houston, Texas is 600 square miles, approximately how many people lived in Houston, Texas in 2016?
Answer:
Number of people lived in Texas = 2,242,200
Step-by-step explanation:
Given:
People per square mile = 3,737
Area of Texas = 600 square mile
Find:
Number of people lived in Texas
Computation:
Number of people lived in Texas = People per square mile x Area of Texas
Number of people lived in Texas = 3,737 x 600
Number of people lived in Texas = 2,242,200
3. What is the value of (4/3)^3
Answer:
64/27 = 2.37037037
Step-by-step explanation:
(4/3)^3
Calculate 4/3 to the power of 3 and get 64 /27
64/27
What is the possible value of k such that √50 and √k can be written as a single term?
The possible value of k such that √50 and √k can be written as a single term is; 50
Since √50 and √k are equal as described in the question;
√50 = √k.
The question requests that we determine What is the possible value of k such that √50 and √k can be written as a single term.
The possible value of k is therefore; 50.
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I need help with this ion understand it
Answer:
c. 30
Step-by-step explanation:
Reference angle = [tex] /theta [/tex] = ?
Hypotenuse = 23
Adjacent side = 20
Thus, applying CAH:
[tex] Cos(/theta) = \frac{adj}{hyp} [/tex]
[tex] Cos(/theta) = \frac{20}{23} [/tex]
[tex] /theta = cos^{-1}(\frac{20}{23}) [/tex]
[tex] /theta = 29.5918458 [/tex] ≈ 30° (nearest degree)
Use the given information to find the measures of all angles formed by parallel lines a,b, and transversal m. The sum of two angels is 68 degrees
Answer:
There is not enough information to solve the problem.
Step-by-step explanation:
The question only gives the information that two angles are summing up to 68 degrees, but doesn't state what angles. As such, we can't determine any angles formed by parallel lines a and b, and transversal m.
Find the value of x.
9514 1404 393
Answer:
120°
Step-by-step explanation:
There are several ways you can redraw this figure to help you find the value of x. One of them is to draw a line perpendicular to the parallel lines, intersecting the vertices of the given angles*. Then the interior angles of the triangle formed will be ...
125° -90° = 35°
115° -90° = 25°
The angle that is a vertical angle with x is the third angle of the triangle, so its measure is ...
x = 180° -35° -25° = 120°
The value of x is 120°.
Answer:
not sure
Step-by-step explanation: