First, she needs to find her resting heart rate by counting her pulse for one minute immediately after she wakes up for 5 days in a row. She finds her average resting heart rate to be 62 after

5 days and she remembers the last day's pulse was 58 and all the others were the same. Write and solve an equation to find what her pulse was on all the other days. Justify your answer by showing your steps. Put in Simple equation

Answers

Answer 1

Answer:

63

Step-by-step explanation:

She finds her average resting heart rate to be 62 after  5 days.

That means, average of the 5 heart rate pulse=62

If the last day was 58 and all the other days were the same.

Let x be her pulse on the other days,

Then,

[tex]Average, 62=\dfrac{58+4x}{5}\\\text{Cross Multiply}\\58+4x=62 X 5\\\text{Suntract 58 from both sides}\\4x=(62X5)-58\\4x=310-58\\4x=252\\\text{Divide both sides by 4}\\x=63[/tex]

Her pulse on all the other days is 63.


Related Questions

find the simple interest on $5,000 at 6% interest for 3.5 years.​

Answers

Look at the attached picture

Hope it will help u..

Solve the equation if 0 degrees<=x<=360 degrees.
sinx= -sqrt 2/2

Answers

Answer:

Step-by-step explanation:

hello :

sinx = - -√2/2        0°≤x≤360°

x = 225°

x= 315°

The value of x in this equation is 315°

What are trigonometric functions?

In mathematics, trigonometric functions are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. The six trigonometric functions are Sine, Cosine, Tangent, Secant, Cosecant, and Cotangent.

Given here:

Sinx= -√2/2

x     =sin⁻¹( -√2/2)

x      = -45°

Therefore positive angle of x is given by 360-45=315°

Hence, The value of x in this equation is 315°

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15x + 35 = 65 * what does X=

A. x = 2
B. x = -2
C. x = 5
D. x = 50

Answers

Answer:

A

Step-by-step explanation:

15x+35=65

15x=30

x=2

Answer: X= 2

Step-by-step explanation:

We know that 15 + 35 = 50.

But we still need to figure out the X, out of the options multiply it by 2 will get you 30. If we have 30 then we can complete our equation.

15x2 = 30 + 35 = 65

Hope this helps :D

do y’all know what these symbols are called ??

Answers

Answer:

They are called tie's

Step-by-step explanation:

They basically mean to carry the note out longer so instead of it being 4 beats its now 8

Hope that helped!

Which 2d shape can be rotated about the y axis to create a cone

Answers

Answer:

a triangle

Step-by-step explanation:

Answer:

a right triangle

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Solve the system of equations.
y= 2x + 4
y = x2 + x - 2
A. (-2, 0) and (3, 10)
B. (2,0) and (-3,-10)
C. (-3,-10) and (-2,0)
D. (-3, 10) and (2,0)

Answers

Answer:

A

Step-by-step explanation:

Given the 2 equations

y = 2x + 4 → (1)

y = x² + x - 2 → (2)

Substitute y = x² + x - 2 into (1)

x² + x - 2 = 2x + 4 ( subtract 2x + 4 from both sides )

x² - x - 6 = 0 ← in standard form

(x - 3)(x + 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 3 = 0 ⇒ x = 3

x + 2 = 0 ⇒ x = - 2

Substitute these values into (1) for corresponding values of y

x = 3 : y = 2(3) + 4 = 6 + 4 = 10 ⇒ (3, 10 )

x = - 2 : y = 2(- 2) + 4 = - 4 + 4 = 0 ⇒ (- 2, 0 )

Does the function model exponential growth or decay? h(t)=0.25\cdot 1.5^th(t)=0.25⋅1.5 t

Answers

Answer

Answer:

growth

Step-by-step explanation:

srry im late

During a solo competition for playing the flute, Sandra was given the following scores by four of the five judges:
6, 8, 9, and 8. What score would the fifth judge need to give her so that her average score from the five judges
was 8.0?

Answers

Answer: she needs a 9 from the fifth judge

Step-by-step explanation: so you have 5 judges and to get a perfect score you need 8. when you multiply the amount of judges by the score of 8 you get 40 witch is 100%, and when you add 6+8+9+8 you get 31 so there is 9 missing to get 40 so the answer is 9.

The measurement of one angle of a right triangle is 43° what is the measurement of the third angle

Answers

47 because a triangle needs to add up to 180° land you add the 43 plus the 90° and give you 133 and than you subtract the 180 by the 133 and it’s 47

Solve for j . −1/3=/j4−10/3​

Answers

Answer:

j = 12

Step-by-step explanation:

Solve for j by simplifying both sides of the equation, then isolating the variable.

Help??????????????????(

Answers

Step-by-step explanation:

Tn = n² - 3

Now

the first three terms

t1 = 1² - 3 = 1 - 3= -2

t2 = 2² - 3= 4 - 3 = 1

t3 = 3² - 3 = 9 - 3 = 6

----------------

The first three terms are -2 , 1 , 6

and

tenth term

t10= 10² - 3= 100-3 = 97

Hope it will help you :))

Answer:

-2, 1, 6  and the 10th is 97

Step-by-step explanation:

to find the terms, in a row, replace n with 1

nth = 1^2 -3   -2 is the answer  (1^2) is 1 -3 = -2

then replace the n with 2, 3, 4 etc till you have your sequence

nth = 2^2 -3  1 is the answer (2^2) is 4 -3 = 1

nth = 3^2 -3  6 is the answer (3^2) is 9-3 = 6

nth = 4^2 -3  13 is the answer (4^2) is 16-3 = 13

nth = 5^2 -3  22 is the answer (5^2) is 25-3 = 22

etc to 10

nth = 10^2 -3 97 is the answer (10^2) is 100 - 3 = 97

sequence is -2, 1, 6, 13, 22, . . . . 97

What is the slope of the graph? (Example: 2/3,-4,-2/9)

Answers

Answer:

7/9

Step-by-step explanation:

Answer:

The slope is -1

Step-by-step explanation:

Slope is rise/run

In the picture the graph 'raises' by -1 (Because its going down) and runs by 1

so the slope is -1/1 or -1

There are a total of 15 dimes and quarters in a covered cup. The value of all 15 coins totals 2.85

Answers

Answer:

There are 6 dimes and 9 quarters.

Step-by-step explanation:

Represent the number of dimes and the number of quarters by d and q.

Then d + q = 15, or q = 15 - d.

Also, ($0.25)q + ($0.10)d = $2.85, or 5q + 2d = 57.

Substituding 15 - d for q, we get 5(15 - d) + 2d = 57, or

75 - 5d + 2d = 57, or

75 - 3d = 57, or

3d = 18.  Thus, there are 6 dimes.  Since q = 15 - d, q = 15 - 6 = 9.

There are 6 dimes and 9 quarters.

The number of dimes and quarters totaling $2.85 are 6 dimes and 9 quarters.

To solve this, we can set up two equations based on the number of coins and their total value.

Let's denote the number of dimes as d and the number of quarters as q. The value of a dime is $0.10, and the value of a quarter is $0.25. We know there are 15 coins in total, which gives us the first equation:

d + q = 15

The second equation is based on the total value of the coins:

0.10d + 0.25q = 2.85

To solve the system of equations, we can use substitution or elimination. Multiplying the second equation by 10 gives us:

d + 2.5q = 28.5

Subtracting the first equation from this results in:

1.5q = 13.5

Dividing by 1.5 gives us the number of quarters:

q = 9

Substituting q = 9 into the first equation gives us the number of dimes:

d + 9 = 15

d = 6

Therefore, there are 6 dimes and 9 quarters in the cup.

True or false: opposite angles of a square are supplementary angles

Answers

Answer:

True

Step-by-step explanation:

Supplementary angles are those that sum up to 180 degrees. A square is a polygon with all its angles measuring 90 degrees. This means that opposite angles are both 90 degrees. And, since 90 + 90 = 180, that means that a square's opposite angles are supplementary.

Hope this helps!

Answer:

True

Step-by-step explanation:

Supplementary angles add up to 180

All angles in a square are 90.

Opposite angles add up to 180°


Which equation is equivalent to 2x + 10 = 6


A)
2x = 4
x + 5 = 3
(
x + 10 = 3
2x + 6 = 10

Answers

2x+10=6 can be simplified to 2x=-4
x=-2
The answer is I believe -2

M is the centroid of the triangle.

CM=7, PM=10, & BQ=18

BM=[? ]

Answers

Answer:

The length of the BM is 6 unit.

Step-by-step explanation:

Given : M is the centroid of the triangle.  CM=7, PM=10, & BQ=18

To find : The value of BM ?

Solution :

Refer the attached figure below.

The centroid of a triangle is the point of intersection of its medians.

M is the centroid and the centroid divide the line in 1:2 ratio.

So, M divide BQ in 1:2 ratio and the total length of BQ is 18.

BM is one third of 18.

i.e. [tex]BM=\frac{18}{3}[/tex]

[tex]BM=6[/tex]

Therefore, the length of the BM is 6 unit.

Answer: BM=6

Step-by-step explanation:

A paving company was hired to make a 4 mile section of the highway. They need 700 tons of concrete to complete the job. How many pounds of concrete will they need to repave the highway?

Answers

Answer:

they will need 1,400,000

Step-by-step explanation:

1 ton is 2,000 pounds. so 700x 2,000=1,400,000

Please answer this question! I will try to give brainlist if possible. I beg you, I have asked this question three times!

Answers

Answer:

2/7

Step-by-step explanation:

Even numbers: 6, 8, 10, 20

P(E1) = 4/7

P(E2) = 3/6

4/7 × 3/6

2/7

Three students take equivalent stress tests. Which is the highest relative score (meaning which
has the largest z score value)?
a. A score of 144 on a test with a mean of 128 and a standard deviation of 34
b. A score of 90 on a test with a mean of 86 and a standard deviation of 18
c. A score of 18 on a test with a mean of 15 and a standard deviation of 5​

Answers

B is the correct answer with the explanation of a score of 90 on a test with a mean of 86 and a standard deviation of 18.

The highest relative score is of the student with a score of 18 on a test with a mean of 15 and a standard deviation of 5​

What is z-score?

Z-score is a statistical measurement that describes a value's relationship to the mean of a group of values.

Given that, three students take equivalent stress tests, we need to calculate the highest relative score among them,

Z-score = X-μ / σ,

X = observed value, μ = mean and σ = standard deviation

a) A score of 144 on a test with a mean of 128 and a standard deviation of 34 :-

Z-score = X-μ / σ

Z-score = 144-128 / 34 = 0.47

b) A score of 90 on a test with a mean of 86 and a standard deviation of 18 :-

Z-score = X-μ / σ

Z-score = 90-86 / 18 = 0.22

c) A score of 18 on a test with a mean of 15 and a standard deviation of 5​ :-

Z-score = X-μ / σ

Z-score = 18-15 / 5 = 0.6

Hence, the highest relative score is of the student with a score of 18 on a test with a mean of 15 and a standard deviation of 5​

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From a standard deck of 52 cards, what is the probability of picking a 6 at random from the deck?

Answers

Answer:

Only 4 out of 52 cards are 6.

4/52 = 1/13

Probability is 4/13

Answer:

4/52 or 1/13

Step-by-step explanation:

There are 4 of each card in a deck except for Jokers. Therefore, the answer is 4/52 or 1/13

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Each letter of the word PROBABILITY is written on an individual card, each of which

is the same size, and all are put in a bag. A card is drawn without looking. A card is

drawn without looking. Find P(Letter A or Vowel)

Mutually Exclusive Event

O Inclusive Event

Independent Event

Dependent Event

Answers

Answer:

Independent event

Step-by-step explanation:

When graphed, the three lines y = -x + 2, y = 2x − 1, and y = x − 2 intersect in such a way that they form a triangle.
What are the coordinates of the three vertices of this triangle?


A.
(2, 0), (0, 2), and (-1, -3)
B.
(0, 2), (2, 0), and (1, -1)
C.
(1, 1), (2, 0), and (-1, -3)
D.
(1, 1), (0, 2), and (-1, -3)
E.
(2, 0), (1, -1), and (-1, -3)

Answers

The answer is C

Insert y=X-2 into the equation y=-X+2

You will get the point (2,0)

Insert y=2X-1 into the same equation

you will get the point (1,1).

Without solving for the last point

you will realize that your answer is C

Note: This approach is appropriate for solving objective questions

A patient takes a medication with a half life. Initially, there are 11 milligrams of the medication in the patient's system. After 70 minutes there are 7 milligrams. After how many minutes will there be only 3 milligrams remaining in the patient’s system? here be after 10 hours? Round your answer to the nearest whole number, do not include units.

Answers

Answer:

201

Step-by-step explanation:

The situation can be represented by the formula N(t)=11e(−kt) where t represents time in minutes and k is a constant.

Which is the best estimate of the sum of the fractions 5/12+5/9

Answers

Answer:

0.926

Step-by-step explanation:

5/12 as a decimal is 0.416 and

5/9 as a decimal is 0.5 repeating

You just have to turn the fraction into a decimal and

add those together.

So your final equation would be 0.416+0.5

Answer:

35/36

Step-by-step explanation:

The least common denominator for both 12 and 9 is 36.

5        3 = 15

—  X         —

12        3 = 36

5      4 = 20

–   X

9     4 = 36

15+20 = 35

so, 35/36

Hope this help, have a great day, and Stay Safe.

:)

what is 527.79 rounded to the nearest thousandth?

I looked it up and it said it was just 527.79, but when i put my answer in it said it was wrong so im really confused.

Answers

527.79

there is no because just round and try this I think it might work i dont know

I think the answer is 527.79

Select the equivalent expression

Answers

answer: c
hope this helps!

On the last day of April 2009, the price of a share of stock in a major entertainment corporation was $5.36. Over the next 4 years, the annual growth rate was 4.15%. The growth in the price of this stock can be modeled by the function where P represents the price, in dollars, and t represents the number of years since the last day in April 2009. Which function can be used to represent the price of a share of stock in this entertainment corporation on the last day in June 2011?

Answers

Answer:

Hence After 2 years from 2009 to 2011 THe price for share of stock will be 5.8141 $

Step-by-step explanation:

Given:

Initial price=$5.36

Rate=4.15 %

To Find:

Function which represents the growth price for stock market?

Solution:

As the function is growing one and with same rate and depends upon the time period ,

So the exponential function as

[tex]P=A(1+R)^t[/tex] will the required function ,

So P will be price of stock at t time period with R as rate for  function.

A be the previous year price

From 2009 to 2013 rate is 4.15 %

we have to find price after 2 years

So t=2  , A at 2009 =5.36$

So P at 2011 will be given by,

[tex]P=A(1+R)^t[/tex]

[tex]P=5.36(1+0.0415)^2[/tex]

[tex]P=5.36(1.0415)^2[/tex]

[tex]P=5.8141 $[/tex]

A large box contains buttons with pictures of animals.

There are four different animals. A button is drawn and replaced. In 100 trials, 35 buttons with cats were drawn.

What is the probability that the next button will be a different animal?


A.
The experimental probability is 35%.

B.
The experimental probability is 65%.

C.
The theoretical probability is 35%.

D.
The theoretical probability is 65%.

Answers

Answer: its B

Step-by-step explanation:

You have to subtract 100 and 35. You get 65. Its also a experimental probability.

In triangle ABC, a = 4, b = 6, and cos C = − 1/4. What is the length of side c?
(1)8
(2)2√7
(3)2√10
(4)4

Answers

The length of side c would be 8.

Step-by-step explanation:

Given that,

a = 4

b = 6

cosC = -1/4

If we are given two sides and angle, the law of Cosines can be used to find the third side:

[tex]c^{2} = a^{2} + b^{2} - 2ab (cos(c))[/tex]

By inserting the values in the formula, we get

[tex]c^{2} = 4^{2} + 6^{2} - 2.4.6 (-\frac{1}{4} )[/tex]

[tex]c^{2} = 16 + 36 + 12[/tex]

[tex]c^{2} = 64[/tex]

[tex]\sqrt{c^{2} } = \sqrt{64}[/tex]

c = 8.

Therefore, the length of side c would be 8.

The length of side [tex]\( c \)[/tex] is 8. The option (1) is correct.

To find the length of side [tex]\( c \)[/tex] in triangle ABC given [tex]\( a = 4 \), \( b = 6 \)[/tex], and [tex]\( \cos C = -\frac{1}{4} \),[/tex] we use the cosine rule:

[tex]\[ c^2 = a^2 + b^2 - 2ab \cos C \][/tex]

Substitute the given values:

[tex]\[ c^2 = 4^2 + 6^2 - 2 \cdot 4 \cdot 6 \cdot \left(-\frac{1}{4}\right) \][/tex]

[tex]\[ c^2 = 16 + 36 + 12 \][/tex]

[tex]\[ c^2 = 64 \][/tex]

Now, take the square root of both sides to find [tex]\( c \):[/tex]

[tex]\[ c = \sqrt{64} \][/tex]

[tex]\[ c = 8 \][/tex]

Therefore, the length of side [tex]\( c \)[/tex] is 8.

4c = 3 C =
please help me I am late for hw and ned this question done asap

Answers

Answer:

4c=4 c=3/4

Step-by-step explanation:

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