Miguel started to run on a treadmill after setting Its timer for 61 minutes. The display says that he has finished 42% of his run. How many minutes have gone by? Round your answer to the nearest tenth.​

Answer:

4

Step-by-step explanation:

3*4+2=14

12+2=14

14=14

Answer:

4

Step-by-step explanation:

Answer:

per hour he earns 416/8= 52$

in 2.8 hours he will earn = 52×2.8= 145.6$

Step-by-step explanation:

i hope you find it helpful, have a nice day

The first thing we must know is how much David earns per hour.

$416 ÷ 8 hrs = $52/hr

$52/hr  x 2.8hrs = $145.6

David earns $145.6 in 2.8 hours.

The triangle is obtuse because 11^2 + 21^2 does not equal 29^2.

The Pythagorean Theorem states that the sum of the squares of the two shorter sides of a triangle must equal the square of the longest side in order for the triangle to be a right triangle.

We can use this theorem to determine the type of triangle by calculating the square of the longest side (29^2), and then comparing it to the sum of the squares of the other two sides (11^2 + 21^2). Since 11^2 + 21^2 does not equal 29^2, the triangle is obtuse.

The Pythagorean Theorem states that the sum of the squares of the two shorter sides of a triangle must equal the square of the longest side in order for the triangle to be a right triangle.

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The distance between points R and S is  \(\sqrt{ (185)\). The correct answer is D. She made no errors.

Heather's work to find the distance between two points, R(-3,-4) and S(5,7), is shown:

RS = √(-4) (-3))² + (7 − 5)²

= √(-1)² + (2)²= √1 + 4

= √5

The error is with the order of subtraction in the formula for the distance between two points.

Heather did not make any errors in calculating the distance between two points. Therefore, the correct answer to the question above is (OD) She made no errors.

The formula for the distance between two points, A (x1, y1) and B (x2, y2), in the coordinate plane is given as;

dAB = \(\sqrt{  ((x^2 - x1)^2 + (y2 - y1)^2)\)

Comparing the given question with the formula above, we have;

A = R (-3, -4) and B = S (5, 7)The distance, AB = RS.

Therefore, we have;

RS = \(\sqrt{ ((5 - (-3))^2 + (7 - (-4))^2)\)

On solving the above equation;RS = \(\sqrt{ ((5 + 3)^2 + (7 + 4)^2)\)RS

= \(\sqrt{ (8^2 + 11^2)RS\)

= \(\sqrt{ (64 + 121)RS\)

= \(\sqrt{ (185)\)

Therefore, the distance between points R and S is  \(\sqrt{ (185)\).

From the calculation, it is clear that Heather did not make any errors while calculating the distance between two points. The answer obtained by Heather is correct.

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Answer

37

Step by Step explanation

replace x with -7

which gives

-(-7)^2-10(-7)+16

= 37

Answer:

15 yards

Step-by-step explanation:

3ft=1yard

45/3=15

Answer: the first one is 7/9 and the second one is option 2

Step-by-step explanation:

4+7 = 11

< or> = open dot

Answer:

\(\angle L = 73^o\)

Step-by-step explanation:

Given

\(\angle M = 107^o\)

Required

Find \(\angle L\)

From the question, we understand that: \(\angle M\) and \(\angle L\) form a linear pair;

This implies that:

\(\angle M + \angle L = 180^o\)

So, we have:

\(107^o + \angle L = 180^o\)

Collect like terms

\(\angle L = 180^o -107^o\)

\(\angle L = 73^o\)

Answer:

43 < μ₁ - μ₂  < 49

Step-by-step explanation:

Sample 1:

Mean      x₁    =  88

Sample size    n₁  = 173

Sample standard deviation    s₁  =  12,22

Sample 2:

Mean      x₂    =  53,5

Sample size    n₂  = 127

Sample standard deviation    s₂  =  13,59

CI   95 %        α  =  5%    α = 0,05    α/2  = 0,025

We need to find:

(  x₁  -  x₂  ) - tα/2,v *√ (s₁²/n₁ ) + (s₂²/n₂) < μ₁ - μ₂  < (  x₁  -  x₂  ) + tα/2,v *√ (s₁²/n₁ ) + (s₂²/n₂)

v = degree of fredom    

v  = [ ( s₁²/n₁ + s₂²/n₂)² / (s₁²/n₁)² /n₁-1  + (s₂²/n₂)²/n₂-1

v =  [ (0,86 + 1,45 ) / 0,0043 +  0,017

v = 2,31 / 0,0213

v = 108

Then  t 0,025, 108  from t table is:  We will take v = 100

t = 1,984

Now

√ (s₁²/n₁ ) + (s₂²/n₂)  =  √ 0,86  + 1,43

√ 2,3   = 1,51

Then: CI:

(173 - 127 ) -  1,984*1,51    < μ₁ - μ₂  < ( 173 - 127 )  +  1,984*1,51

46 - 3  < μ₁ - μ₂  < 46 + 3

43 < μ₁ - μ₂  < 49

Answer:

There is 9 photos in each page

Step-by-step explanation:

because all you have to do is 72 divided by 8 and u get the answer

Answer:

83 dz

Step-by-step explanation:

yeahlets bbzkalaamN

Using the height and radius given, the surface area of the cylinder is 408.2m²

The surface area of a cylinder is the combined area of its curved surface (lateral surface) and its two circular bases. The formula for the surface area of a cylinder is:

A = 2πrh + 2πr²

where:

In the given question, the data are;

Substituting the value into the formula

A = 2π(5 * 8) + 2π(5)²

A = 408.2m²

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a. The missing values of the logarithm expression is log₃(40).

b. The missing values of the logarithm expression is log₅(8).

c. The missing values of the logarithm expression is  log₂(1/25).

The missing values of the logarithm expression is calculated as follows;

(a). log₃5 + log₃8, the expression is simplified as follows;

log₃5 + log₃8 = log₃(5 x 8) = log₃(40)

(b). The log expression is simplified as;

log₅3 - log₅X = log₅3/8

log₅X = log₅8

X = 8

(c).  The log expression is simplified as;

-2log₂5 = log₂Y

log₂5⁻² = log₂Y

5⁻² = Y

1/25 = Y

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Answer:

We use the rule,

\((a^b)^c = a^{bc}\)

a. (10^7)²

\((10^7)^2 = 10^{(7)(2)} = 10^{14}\)

10^14

b. (10^9)³

\((10^9)^3 = 10^{(9)(3)} = 10^{27}\)

10^27

c. (10^6)³

\(10^{(6)(3)}= 10^{18}\)

10^18

d. (10^2)³

\(10^{(2)(3)} = 10^{6}\)

10^6

e. (10³)²

\(10^{(3)(2)}=10^{6}\)

10^6

f. (10^5)^7

\(10^{(5)(7)} = 10^{35}\)

10^35

Step-by-step explanation:

Answer:

The probability that one marble drawn at random is not blue is 70%

The time spent higher than 26 meters above the ground is 0.42 minutes. Answer: 0.42

A Ferris wheel is 30 meters in diameter and boarded from a platform that is 4 meters above the ground.

The six o'clock position on the Ferris wheel is level with the loading platform.

The wheel completes 1 full revolution in 2 minutes.

We have to find how many minutes of the ride are spent higher than 26 meters above the ground.

So, let's start with some given data,Consider the height of a person at the six o'clock position = 4 meters

So, the height of a person at the highest point = 4 + 15 = 19 meters (since the diameter is 30 meters, the radius will be 15 meters)

Also, the height of a person at the lowest point = 4 - 15 = -11 meters

Therefore, the Ferris wheel completes one cycle from the lowest point to the highest point and back to the lowest point.

So, the total distance travelled will be = 19 + 11 = 30 meters.

Also, we are given that the wheel completes 1 full revolution in 2 minutes.

We need to calculate the time spent higher than 26 meters above the ground.

So, the angle between the 6 o'clock position and 2 o'clock position will be equal to the angle between the 6 o'clock position and the highest point.

This angle can be calculated as follows:

Angle = Distance travelled by the Ferris wheel / Circumference of the Ferris wheel * 360 degrees

Angle = 30 / (pi * 30) * 360 degrees

Angle = 360 degrees / pi

= 114.59 degrees

So, the total angle between the 6 o'clock position and the highest point is 114.59 degrees.

Now, we need to find out how much time is spent at an angle greater than 114.59 degrees.

This can be calculated as follows:

Time = (Angle greater than 114.59 degrees / Total angle of the Ferris wheel) * Total time taken

Time = (180 - 114.59) / 360 * 2 minutes

Time = 0.42 minutes

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Answer:

33.49 mm³

Step-by-step explanation:

The formula of volume of sphere

\( = \frac{4}{3} \pi {r}^{3} \)

The volume of the sphere

\( = \frac{4}{3} \times 3.14 \times {2}^{3} \)

\( = \frac{100.48}{3} \)

\( = 33.4933333...\)

= 33.49 mm³ (rounded to the nearest hundredth)

The independent variable in this data is the speed of the car. This is because the congressman is trying to determine whether or not the gas mileage improves at lower speeds.

The dependent variable is the gas mileage, because it is the variable that is being measured and that is affected by the independent variable.

The other variables in this data are the weight of the car, the type of engine, and the year of the car. However, these variables are not being changed in this experiment, so they are not considered to be independent variables.

The data shows that the gas mileage of the Toyota Camry improves as the speed of the car decreases. This supports the claim of the supporters of the bill to reduce the speed limit.

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a) P(psychology student)  = 1/3. b) P(psychology or anthropology student)  = 5/6. c) P(not sociology student)= 5/6

(a) The probability of choosing a psychology student is the number of psychology students divided by the total number of students:

P(psychology student) = 4/(6+2+4) = 4/12 = 1/3

(b) The probability of choosing a psychology student or an anthropology student is the sum of the number of psychology and anthropology students divided by the total number of students:

P(psychology or anthropology student) = (4+6)/(6+2+4) = 10/12 = 5/6

(c) The probability of not choosing a sociology student is the number of non-sociology students divided by the total number of students:

P(not sociology student) = (6+4)/(6+2+4) = 10/12 = 5/6

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Answer:

x=34    y=-87     (34,-87)

Step-by-step explanation:

3x+y=15              rewrite to solve for y  ----->    y=15-3x

5x+2y=-4

Plug y=15-3x into 5x+2y=-4

So, 5x+2 (15-3x)=-4

Distribute: 5x+30-6x=-4

Combine like terms: 30-x=-4

Solve for x   -x=-34

Solve for x   x=34

Then, to solve for y, plug "x" into 3x+y=15

So, 3(34)+y=15

Distribute: 102+y=15

Solve for y  y=-87

Answer:

109.88 ft² (nearest hundredth)

Step-by-step explanation:

Formulae

To find the area of the lawn that is not watered, subtract the area of the 2 circles from the area of the rectangle.

From inspection of the diagram

Substituting the values into the area of a rectangle formula, and solving for r:

⇒ 512 = 2r × 4r

⇒ 512 = 8r²

⇒ r² = 64

⇒ r = ±8

As distance is positive, r = 8 ft

Area of one circle = π8² = 64π  ft²

Therefore,

Area not watered = area of rectangle - 2 × area of circle

                             = 512 - 2(64π)

                             = 109.88 ft² (nearest hundredth)

Answer:

18

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Given that,

f(x) = 2x² - 3x + 7

To find the value of f ( 2.5 ), replace x with 2.5 and solve the equation.

Let us solve it now.

f(2.5) = 2(2.5)² - 3×2.5 + 7

f(2.5) = 12.5 - 7.5 + 7

f(2.5) = 12

Answer:

\(f(x) = 2 {x}^{2} - 3x + 7 \\ f(2.5) = 2 {(2.5)}^{2} - 3(2.5) + 7 \\ f(2.5) = 12.5 - 7.5 + 7 \\ \boxed{f(2.5) = 12}\)

The additional amount Ahmad will spend if Ahmad will spend at most $34 on gifts. So far, he has spent $21 is c = 13.

An inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. It is most frequently used to compare the sizes of two numbers on the number line.

Given:

Ahmad will spend at most $34 on gifts,

He spent = $21,

c = additional amount

The total amount he can spend now = total amount - he spent

c = 34 - 21

c = 13

Therefore, the additional amount Ahmad will spend, if Ahmad will spend at most $34 on gifts. So far, he has spent $21 is c = 13.

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The amount invested at 3% is $400, the amount invested at 4% is $700, and the amount invested at 5% is $1000.

Let's assume the amount invested at 4% is x dollars.

According to the given information, the amount invested at 5% is $1000 more than the amount invested at 4%.

So, the amount invested at 5% is (x + $1000).

The total amount invested is the sum of the amounts invested at each rate, which is $2100.

Therefore, we can write the equation:

x + (x + $1000) + (amount invested at 3%) = $2100

Now, we can calculate the amount invested at 3%.

We subtract the sum of the amounts invested at 4% and 5% from the total investment:

(amount invested at 3%) = $2100 - (x + x + $1000) = $2100 - (2x + $1000)

Given that Elena receives $95 per year in simple interest from the investments, we can use the formula for simple interest:

Simple Interest = Principal × Interest Rate

The interest earned from the investment at 3% is (amount invested at 3%) × 0.03, the interest earned from the investment at 4% is (amount invested at 4%) × 0.04, and the interest earned from the investment at 5% is (amount invested at 5%) × 0.05.

According to the problem, the total interest earned is $95.

So we can write the equation:

(amount invested at 3%) × 0.03 + (amount invested at 4%) × 0.04 + (amount invested at 5%) × 0.05 = $95

Now we can substitute the expression for (amount invested at 3%) and solve for x.

Once we have the value of x, we can calculate the amounts invested at 3%, 4%, and 5% using the given information.

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Answer:

huuu wate a few minutes

I will help you

Answer:

Answers below

Step-by-step explanation:

Marion: 42 inches

Elijah: 38 inches

Lorie: 57 inches

Convert each to inches and solve.

Hope this helps!

The correct answer is B. The sample represents a proportion of the population.

A point estimate is a single value used to estimate a population's unknown parameter. The sample proportion (denoted by p), in the context of determining the population proportion, is a widely used point estimate. The sample proportion is determined by dividing the sample's success rate by the sample size.

The sample must be representative of the population for it to be a reliable point estimate of the population proportion. To accurately reflect the proportions of various groups or categories present in the population, the sample should be chosen at random.

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