Answer: 187 push ups
Step-by-step explanation:
34/2=17 push ups per minute
11 minutes * 17 push ups/1 minute =187 push ups
Solve for y.
d = 5x + 5y
d=5x
5
O y = 5(d - 5x)
Oy =
0y = d-Sx
X
Oy=
5x-d
5
Find the (perpendicular) distance from the line given by the parametric equations
x(t)= -2-6t
y(t)= 1-3t
z(t)= -5+7t
to the point (-8,9,8)
Answer:
[tex]\sqrt{(-\frac{806}{94}+8)^2+(-\frac{215}{94}-9)^2+ (-\frac{251}{94}-8)^2}[/tex] Whatever this number may be
Step-by-step explanation:
The distance will be on the plane containing the point, and perpendicular to the line - which exists as long as the point doesn't sit on the line, but in that case our distance will simply be zero. Good news, since the line is given in parametric equation, the equation of the plane is easy to write by simply computing the dot product between the vector generating the line - or any multiple of it! - and the vector joining a random point x y z of the space with our given point, and setting it equal to zero. The equation of our plane is thus
[tex]6(x-(-8)) + 3(y-9) -7(z-8) = 0\\6(x+8)+3(y-9)-7(z-8)=0[/tex]
We could multiply now or later, doesn't matter, so let's wait. Now, we need to know when the line passes through the plane, so let's plug the (parametric) coordinate of the line and let's see for which value of t that happens:
[tex]6(-2-6t+8) +3(1-3t -9) -7(-5+7t-8) =0\\6(6-6t) -3(8+3t)+7(13-7t)=0\\36-36t-24-9t+91-49t = 0\\t=103/94[/tex]
Found this value of t, we can use it to find the coordinate of the point in common between the line and the plane:
[tex](-2-6\frac {103}{94};1-3\frac {103}{94}; -5+7\frac {103}{94}) = (-\frac{806}{94};-\frac{215}{94};-\frac{251}{94})[/tex]
At this point it's simply a matter of calculating the distance between two points in 3D space, given by the usual [tex]\sqrt{\Delta x^2+\Delta y^2+\Delta z^2}[/tex], whatever abomination of a number it might become:
[tex]\sqrt{(-\frac{806}{94}+8)^2+(-\frac{215}{94}-9)^2+ (-\frac{251}{94}-8)^2}[/tex]
At this point is a simple exercise in number crunching which I refuse to entertain more - but please double check all calculation above in case I didn't notice something.
is the value of the digit 5 in 0.5is 1/10 times as much as the value in 0.05
Answer:
No
Step-by-step explanation:
1/10 = 0.1
0.05 x 0.1 = 0.005
1. Find the value of Y
2. Find angle 1
3. Find angle 2
4. Find the value of X
Could someone please lend me a hand with this?
5 divided by the sum of 5 and a number
Answer: 5/(5+n)
Step-by-step explanation:
Let "a number" be represented by "n"
[tex]5/(5+n)[/tex]
Tv sells at 60 percent off retail what percent is wholesale price
The wholesale price of the TV will be 0.40 x where x represents the retail price.
Percentage :
In mathematics, it is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%"
Let the retail price of TV be x
Now, we are given that it is sold off at 60 percent discount.
Whole sale price = x - 60 % of x
Whole sale price = x - 60 / 100 x
Whole sale price = x - 0.60 x
Whole sale price = 0.40 x.
Therefore, the wholesale price of the TV will be 0.40 x where x represents the retail price of the TV.
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Please Help Me, I’d Really Appreciate It.
Write the following fraction as a decimal: 2/5
0.25
2.5
0.4
4.0
Answer:
It's 0.4
Step-by-step explanation:
2/5 = 40/100 = 4/10 = 0.4
Hope that helps :)
Which expression is equivalent to the given expression? 3 x 2 + 5 x − 7 ( x 2 + 4 ) A. - 4 x 2 + 5 x − 4 B. x 2 + 4 C. x 2 + 28 D. - 4 x 2 + 5 x − 28
According to the solving the non of the quadratic equations equivalent.
4X² + 5x - 3.
What is a quadratic equation and how does it work?A quadratic equation seems to be a second-order polynomial equation in a variable, x ax2+bx+c=0, with a 0 as the coefficient. The fundamental theorem of algebra ensures that it has at least one solution as it is a second-order polynomial problem. The solution could be straightforward or difficult.
What exactly is the equivalent formula?Equivalent equations are those that have the same solutions or roots. An equivalent equation is produced by adding or subtracting the identical number or expression from both sides of an equation. Equivalent equations are produced by multiplying and dividing both sides of such an equation by the same non-zero value.
According to the given equation:3 X² + 5 x − 7 + ( X² + 4 ).
Simplifying this equation:
3 X² + 5 x − 7 + X² + 4
= 4X² + 5x - 3
According to the solving the non of the quadratic equations equivalent.
4X² + 5x - 3.
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I understand that the question you are looking for is:
Which expression is equivalent to the given expression?
3 X² + 5 x − 7 + ( X² + 4 ).
A. - 4X² + 5X − 4
B. X² + 4
C. X² + 28
D. - 4 X² + 5x − 28
4 more than 3 times a number is equal to 6 more than 2 times the number
Answer:
x=2
Step-by-step explanation:
3x+4=2x+6
3x=2x+2
x=2
Jen and her friends have a half-day at school, so they plan to spend the afternoon
paddleboarding at Lake Evergreen. They want to spend the rest of the day on the water, but
it starts to rain after paddleboarding for only of an hour! Jen is disappointed when she
realizes the sun doesn't go down for another 4
hours.
Use an equation to find the amount of time Jen planned to spend paddleboarding.
To write a fraction, use a slash (/) to separate the numerator and denominator.
Using proportions, it is found that Jen planned to spend 19/4 hours paddleboarding.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
In this problem, we have that:
She spent 3/4 of an hour paddleboarding.The sun doesn't go down for another 4 hours.4 + 3/4 = 4.75 hours = 19/4.
Jen planned to spent 19/4 hours paddleboarding.
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To charter a bus to carry students to New York City, the cost is $100 to make the booking , plus $25 for each student who is a passenger on the bus. Then, the cost function C(x) giving the cost if x students are ( what is m and b) mxtb
The value of m is $25 and value of b is $100, the cost is $300 and the number of students is 12.
As per the given relation in the question, we see that b is calculated once and m is calculated based on the variable value x, which is the number of students. Hence, for correct calculation, value of m is $25 and value of b is $100.
The cost if 8 students are passengers will be calculated by keeping the value of x and other constants as per the above answer.
Cost = 25×8 + 100
Cost = 200 + 100
Cost = $300
Number of students will again be found as the value of x, by keeping the values as specified above.
400 = 25x + 100
25x = 400 - 100
25x = 300
x = 300 ÷ 25
x = 12
Hence, value of m is $25 and value of b is $100, the cost is $300 and the number of students is 12.
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The complete question is attached in figure.
please help will give Brainly look at the picture’
Answer:
Step-by-step explanation:
The minimum is the smallest value in a data set.
Ordering the data from least to greatest, we get:
1 2 3 5 6 7 9 11 12 13 14 16 17 19 20
So the minimum is 1
The first quartile (or lower quartile or 25th percentile) is the median of the bottom half of the numbers. So, to find the first quartile, we need to place the numbers in value order and find the bottom half.
Quartile 1 is 5,
1 2 3 5 6 7 9 11 12 13 14 16 17 19 20
The first half is
1 2 3 5 6 7 9, the median of these numbers is 5 so Quartile 1 = 5
The median is the middle number in a sorted list of numbers. So, to find the median, we need to place the numbers in value order and find the middle number.
The median is 7, 1 2 3 5 6 7 9 11 12 13 14 16 17 19 20
The third quartile (or upper quartile or 75th percentile) is the median of the second half of the numbers. So, to find the third quartile, we need to place the numbers in value order and find the upper half.
Quartile 3 is 16,
1 2 3 5 6 7 9 11 12 13 14 16 17 19 20
The upper half is
12 13 14 16 17 19 20, the median of these numbers is 16 so Quartile 3 = 16
The maximum is the greatest value in a data set.
Ordering the data from least to greatest, we get:
1 2 3 5 6 7 9 11 12 13 14 16 17 19 20
So, the maximum is 20.
Please help me it’s due tonight!
Help me find the y intership form (y=mx+B)
13.parallel to 2x - 3y = through point (-1, 2)
14. perpendicular to 1/3X+4
through point (0, 5)
15. perpendicular to 3x - y =-4 through point (0, -2)
16. perpendicular to 4x + 5y = 20
through point (1, 1)
17. perpendicular to 4x +7y = 13
through point (-2, 6)
The linear functions for this problem are given as follows:
13. y = 2x/3 + 8/3.
14. y = -3x + 5.
15. y = -1/3x - 2.
16. y = 5/4x - 1/4.
17. y = 7/4x + 19/2.
What is a linear function?A linear function is modeled by the following rule:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, the change in y divided by the change in x.b is the y-intercept, which is the the value of y when the function crosses the x-axis, that is, when x = 0.The slope is also related with parallel and perpendicular lines, as follows:
If the lines are parallel, they have the same slope.If the lines are perpendicular, the multiplication of their slopes is of -1.In item 13, the line in slope-intercept form is:
y = 2x/3.
The line we want to find is parallel, hence it has the same slope, that is:
y = 2x/3 + b.
When x = -1, y = 2, hence:
2 = -2/3 + b
b = 8/3.
Hence the line is:
y = 2x/3 + 8/3.
For item 14, the line is perpendicular to:
y = 1/3x + 4.
Hence the slope is found as follows:
1/3m = -1
m = -3.
Then:
y = -3x + b.
When x = 0, y = 5, hence b = 5 and the line is:
y = -3x + 5.
For item 15, the line is perpendicular to:
y = 3x + 4.
Then the slope is found as follows:
3m = -1
m = -1/3.
Then:
y = -1/3x + b.
When x = 0, y = -2, hence b = -2 and the line is:
y = -1/3x - 2.
For item 16, the line is perpendicular to:
y = 4 - 4/5x.
Then the slope is found as follows:
-4m/5 = -1
m = 5/4.
Hence:
y = 5/4x + b.
When x = 1, y = 1, hence:
1 = 5/4 + b
b = -1/4.
Then the line is:
y = 5/4x - 1/4.
For item 17, the line is perpendicular to:
y = 13/7 - 4/7x
Then the slope is found as follows:
-4m/7 = -1
m = 7/4.
Hence:
y = 7/4x + b.
When x = -2, y = 6, hence:
6 = -14/4 + b
b = 19/2.
Hence the line is given by:
y = 7/4x + 19/2.
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solve the expression when k=6 and c=2
5 x k - 10c + 8
Answer:
18
Step-by-step explanation:
5*(6)-10(2)+8 = 18
Substitute k = 6 and c = 2 into the equation and solve it.
Locate the value of the constant π on a number line using rational numbers.
The value of the constant π is located between 3 and 4 on a number line
How to locate the value of the constant π on a number line using rational numbers?The value is given as
Value = π
As a general rule, the value of π is
π = 22/7
So, we have
Value = 22/7
Evaluate the quotient of 22/7
So, we have
Value = 3.143
The number 3.143 is greater than 3 but less than 4
This means that, 3.143 is between 3 and 4
In other words, the value of the constant π is located between 3 and 4 on a number line
Hence, the value of the constant π is located between 3 and 4 on a number line
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From the top of abuilding, Cecilia finds that the angle of depression of a table on the ground is 30 degrees. If the table is 40 m from the base of the building, find the height of the building
The height of the building is 23.09m.
Let the height of the building be "h".The distance between the table and the base of the building is 40 m.From the top of the building, the angle of depression of the table on the ground is 30°.The angle of depression is the angle formed by the horizontal line and the item as seen from the horizontal line. It is mostly used to calculate the distance between two objects where the angles and distance from the ground are known.We can also say that, from the table, the angle of elevation of the top of the building is 30°.For a better visualization of the problem, see the image attached below.Apply trigonometry.Tan(30°) = h/401/√3 = h/40h = 40/√3h = 23.09mTo learn more about angles, visit :
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Hands-On Activity 2
Maria is also collecting books. She wants to make packages that have 3 fiction
books and 4 nonfiction books. She already has 9 fiction books. How many
nonfiction books will she need?
q
Use a multiplication table to compare the numbers.
Step 1 Complete the rows for 3 and 4 on a multiplication table. non a cas
9 12 15 18 21 24 27 30.
8 12 16 20 24 28
24 28 32 36 40
fiction
nonfiction
Sten 2
136
4
Road across the top until you reach 9. Find the corresponding number.
what is the pattern being used in the table?
Maria need 12 fiction books.
Multiplication table: A multiplication chart is a table that shows the products of two numbers. Usually, one set of numbers is written on the left column and another set is written as the top row. The products are listed as a rectangular array of numbers.
Given that She wants to make packages that have 3 fiction books and 4 nonfiction books. She already has 9 fiction books
Step 1
Complete the rows for 3 and 4 on multiplication table
Fraction : 3,6,9,12, 15, 18, 21, 24,27,30.
Notification : 4,8,12,16,20,24,28,32,36,40.
Step 2
Read across the top until you reach 9. The corresponding number bottom row.
The top untill you reach 9 the corresponding number bottom row is 12
Maria need 12 fiction books.
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PLS HELP!!! algebra 2.
Solve the following inequality algebraically. |x−5∣>10
Answer:
The answer to the inequality is
x < -5
x > 15
At a bakery, one customer pays $5.67 for 3 bagels and 4 muffins. Another customer pays $6.70 for 5 bagels and 3 muffins. Which system of equations can be used to determine the cost x (in dollars) of one bagel and the cost y (in dollars) of one muffin at the bakery?
The bagel costs $0.89 and a muffin costs $0.75
How to create a system of equations?Let B = Bagel cost
Let M = Muffin cost
Thus, from the given question parameters, the system of equations that can be used to determine the cost x is;
3B + 4M = 5.67 ------(1)
5B + 3M = 6.70 ------(2)
Multiply the 1st equation by 3 and the 2nd equation by (-4) to get;
9B +12M = 17.01 ------(3)
-20B - 12M = -26.80 ------(3)
Add equations 3 and 4 together to get;
-11B = -9.79
B = 0.89
Plug this value for B in to the 1st equation and solve for M to get;
3(0.89) + 4M = 5.67
2.67 + 4M = 5.67
4M = 3.00
M = 0.75
Thus, a bagel costs $0.89 and a muffin costs $0.75
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Z(z + 2) = (z + 6)(z - 6)
z=
10. Alice bought 2.3
pounds of apples for $2.99
per pound. How much did
she spend on apples?
Answer:
2.3(2.99)=$6.877
Step-by-step explanation:
Multiply the pounds (2.3) by the price of apples per pound.
Hope this helps! :)
Answer:
2.3(2.99)=$6.877
Step-by-step explanation:
Hope this helps!
Find 3 consecutive odd integers such that the sum of 2 times the first and the last term is equal to 5 times the middle integer.
The 3 consecutive odd integers are -3, -5 and -7
Linear functionLet the 3 consecutive odd integers be 2x-1, 2x+1 and 2x+3
If the sum of 2 times the first and the last term is equal to 5 times the middle integer, then;
2(2x-1)+2x+3 = 5(2x+1)
Expand
4x-2 + 2x +3 = 10x+5
6x +1 = 10x + 5
6x - 10x = 5 - 1
-4x = 4
x = -1
Determine the numbers
First number = 2(-1) - 1 = -3
Second number = -5
Third number = -7
Hence the 3 consecutive odd integers are -3, -5 and -7
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A school is organizing a weekend trip to a nature preserve. For each student, there is a $60 charge, which covers food and lodging. There is also a $40 charge per student for the bus. The school must also pay a $30 cleaning fee for the bus. If the total cost of the weekend is $4,030, how many students will be going on the trip?
31 students
40 students
41 students
66 students
The number of students who will be going on the trip is B. 40 students.
What is a mathematical expression?A mathematical expression is a rule-based set of numbers, variables, and mathematical operations performed to compute the output value.
The mathematical operations used to solve mathematical expressions include additions, subtractions, divisions, and multiplications.
Data and Calculations:The total of the weekend trip = $4,030
The cost of cleaning for the bus = $30
The cost of food and lodging per student = $60
The bus charge per student = $40
Total cost per student = $100 ($60 + $40)
The total cost, y = 4,030 - 30 - 100x
The number of students = x
x= (4,030 - 30)/100
= (4,000/100)
= 40.
Thus, the number of students who will be going on the trip is B. 40 students.
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Simon says that 7 x 2 is equal to 8 x 1 because both sets of factors add to 9. Do you agree with Simon's reasoning? Explain why or why not.
Answer:
No, I do not agree with Simon's reasoning.
Step-by-step explanation:
7*2=14
8*1=8
BUT
7+2=9
8+1=9
YET
Simon isn't properly solving the equation with the right basic operation of arithmetic. He must multiply, not use addition.
Hope this helps.
The length of a rectangle is 2 times its width.
The area of the rectangle is 32 in.². What is
the length of the rectangle?
The cost of 6 gallons of gas at one gas station costs Julian $13.50. The cost of 8 gallons of gas at a different gas station cost Dorian
$18.80.
Answer:
$5.30 for two gallons
Step-by-step explanation:
0.000345 standard form
Answer:
0.000345 in standard form would be:
3.45 times 10 to the -4 power
Step-by-step explanation:
The number tells use that we have to divide by 10 and we are working with a negativenumber equal to the power of 4.
Answer:
3.45 × 10^-4
Step-by-step explanation:
Move from the decimal point till you you get to after the first number.
Then you put the decimal point there and because it's starts with 0. i.e it is not up to one
You put minus in front of it when raising it to the power of 10
A health food store was charging $4.10 for a small salad but raised the price 8%. The new price after the increase is $4.43.Enter an expression to show how the new price was calculated.
Answer: $4.10*0.08%=0.33
Step-by-step explanation:
Multiply (4.12 × 10−9)(8.3 × 1015). Write the final answer in scientific notation.
34.196 × 10−134
3.4196 × 107
3.4196 × 10−135
34.196 × 106
Omg, I'm just stuck on this question, please help loves
Answer:
[tex]3.4196 \times 10^{7}[/tex]
Step-by-step explanation:
Given expression:
[tex](4.12 \times 10^{-9})(8.3 \times 10^{15})[/tex]
Remove the parentheses:
[tex]\implies 4.12\times 10^{-9} \times 8.3 \times 10^{15}[/tex]
Collect like terms:
[tex]\implies 4.12 \times 8.3 \times 10^{-9} \times 10^{15}[/tex]
Multiply the numbers 4.12 and 8.3:
[tex]\implies 34.196 \times 10^{-9} \times 10^{15}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c}:[/tex]
[tex]\implies 34.196 \times 10^{(-9+15)}[/tex]
[tex]\implies 34.196 \times 10^{6}[/tex]
Scientific notation is written in the form [tex]\boxed{a \times 10^n}[/tex]
where [tex]1\leq a < 10[/tex] and [tex]n[/tex] is any positive or negative whole number.
To convert 34.196 × 10⁶ into scientific notation, move the decimal point to the left by one place and increase the power of 10 by 1:
[tex]\implies 34.196 \times 10^{6}=3.4196 \times 10^{7}[/tex]