Answer:
Difference Difference
1. 85 - 32 = 53 42 - 15 = 27
2. 76 + 21 = 97 65 + 12 = 77
3. 77 - 20 = 57 66 + 21 = 87
4. 72 + 25 = 97 62 + 25 = 87
5. 76 + 21 = 97 59 - 2 = 57
6. 63 + 14 = 77 48 + 11 = 59
7. 68 - 11 = 57 47 - 10 = 37
i need help with this srsly
Step-by-step explanation:
5×2=10
2x-2y=2y
2y+3=5x
is -7 bigger than -1
Answer:
no
Step-by-step explanation:
the most near to 0 negative numbers are greater than numbers that are far from 0
example:
-1 > -4
-4 < -1
-6 < 6
1/4(z 3z) 7=−z 1 please help with this ive been stuck
Answer:
z=0
Step-by-step explanation:
if the equation was 1/4(3z)7=-1z
Please solve in EXCEL using an excel formula such as =npv
ou're buying a house that costs 300,000 with a down payment of \( 25 \% \) in cash and a 30 year mortgage for the rest at \( 2.75 \% \). What are your onthly principal + interest payments?
To calculate the monthly principal + interest payments for a house with a down payment and a mortgage using an Excel formula, you can use the PMT function. Here's how:
Calculate the loan amount by subtracting the down payment from the house cost. In this case, the down payment is 25% of $300,000, so it would be $75,000.
Loan Amount = $300,000 - $75,000 = $225,000
Determine the monthly interest rate by dividing the annual interest rate by 12. In this case, the annual interest rate is 2.75%, so the monthly interest rate would be 2.75% / 12 = 0.00229.
Determine the loan term in months. Since it's a 30-year mortgage, the loan term would be 30 * 12 = 360 months.
Use the PMT function in Excel to calculate the monthly principal + interest payment.
Monthly Payment = -PMT(0.00229, 360, 225000)
The negative sign is used because the payment is an outgoing cash flow.
By using this formula in Excel, you can find the monthly principal + interest payments for your mortgage. Remember to adjust the interest rate, loan amount, and loan term if they differ from the example provided.
To calculate the monthly principal + interest payments using an Excel formula, you can use the PMT function by inputting the appropriate parameters: the monthly interest rate, loan term in months, and loan amount.
To know more about payments , visit ;
https://brainly.in/question/8680323
#SPJ11
Fill in the blanks
With the options below
Answer:
The value of x = 33 units (Approx.)
Step-by-step explanation:
Given triangle is a right angle triangle;
So,
Base of triangle = 18 unit
Angle with base = 57°
Find:
The value of x
Computation:
Using trigonometry function;
Cosθ = Base of triangle / Hypotenuse triangle
Cos57 = 18 / x
0.544 = 18 / x
The value of x = 18 / 0.544
The value of x = 33.088
The value of x = 33 units (Approx.)
find the parametric equations for the tangent line to the curve x=t4−1,y=t5+1,z=t3 at the point (15, 33, 8). use the variable t for your parameter.
The parametric equations for the tangent line to the curve x=t^4-1, y=t^5+1, z=t^3 is
x = 15 + 27000t
y = 33 + 759375t
z = 8 + 675t
To find the parametric equations for the tangent line to the curve x=t^4-1, y=t^5+1, z=t^3 at the point (15, 33, 8), we need to first find the derivative of each component with respect to t, evaluated at t=15. This will give us the direction vector of the tangent line, which we can use to write the parametric equations.
Taking the derivatives, we have:
dx/dt = 4t^3
dy/dt = 5t^4
dz/dt = 3t^2
Evaluating at t=15, we get:
dx/dt = 4(15)^3 = 27000
dy/dt = 5(15)^4 = 759375
dz/dt = 3(15)^2 = 675
So the direction vector of the tangent line at the point (15, 33, 8) is <27000, 759375, 675>. To write the parametric equations, we can use the point-slope form:
x = x0 + at
y = y0 + bt
z = z0 + ct
where (x0, y0, z0) is the given point and (a, b, c) is the direction vector we just found. Plugging in the values, we get:
x = 15 + 27000t
y = 33 + 759375t
z = 8 + 675t
These are the parametric equations for the tangent line to the curve x=t^4-1, y=t^5+1, z=t^3 at the point (15, 33, 8).
Know more about parametric equation click here:
https://brainly.com/question/28537985
#SPJ11
Four vectors; each of magnitude 82 m , lie along the sides of a parallelogram as shown in the figure. The angle between vector A and B is 649 82 m 3 64 B 82 m What is the magnitude of the vector sum of the four vectors?
The magnitude of the vector sum of the four vectors = 278.158M
What is Magnitude?
The magnitude or size of a mathematical item defines whether it is larger or smaller than other objects of the same kind in mathematics. Formally speaking, the size of an object is the displayed outcome of an ordering—of the class of objects to which it belongs.
A = 82(cos 64 degree x +sin 64 degree y )
= 35.946 x +73.701y
B = 82 X
C= 82 Xx
D= 82 x (cos 64 degree x +sin 64 degree y)
= 35.946 x +73.701y
net = A+B+C+D
= X (35.946+82+82+35.946) + (2*73.701)
=235.892 X + 147.402Y
Magnitute = 278.158m
To learn more about Sides visit:
brainly.com/question/29082532
#SPJ4
which expression represents the area of this shape
Answer:
which shape pls
Step-by-step explanation:
Determine 2 additional fractions that would reduce to one fourth?
Answer:
2/8, 4,16
Step-by-step explanation:
How do I divide 14 ) 1162
Answer:
By 2 or 7
Step-by-step explanation:
7*2=14
Answer:
Fraction Form: 1/83Decimal Form: 0.01204819Step-by-step explanation:
You basically take 1162 and put it in the house and take 14 And put it outside the house and you just divide then.
Hoep this helps!
What is the solution set of the equation using the quadratic formula? x2+6x+10=0 {−3+2i,−3−2i} {−6+2i,−6−2i} {−3+i,−3−i} {−2i,−4i}
Answer:
The solution set of the quadratic function \(x^{2}+6\cdot x +10\) is \(\{-3+i,-3-i\}\) .
Step-by-step explanation:
Let be a second-order polynomial (quadratic function) is standard form and equalized to zero:
\(a\cdot x^{2}+b\cdot x + c = 0\)
Its roots can be determined by the Quadratic Formula in terms of its polynomial coefficients, which states that:
\(x_{1,2} = \frac{-b\pm\sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}\)
Given that \(a = 1\), \(b = 6\) and \(c = 10\), the roots of the polynomial are, respectively:
\(x_{1,2} = \frac{-6\pm \sqrt{6^{2}-4\cdot (1)\cdot (10)}}{2\cdot (1)}\)
\(x_{1,2} = -3\pm i\)
\(x_{1} = -3+i\)
\(x_{2} = -3 -i\)
The solution set of the quadratic function \(x^{2}+6\cdot x +10\) is \(\{-3+i,-3-i\}\) .
can you guys answer these sequences?
you jog 3 miles in 30 minutes. At that rate, how long will it take you to jog 6 miles
Answer:
1 hour
Step-by-step explanation:
am i right
Given that triangle GHJ = triangle XYZ What is m
What is the slope of line that passes through the points
Answer:
m = -3.6 / -9.5 = 0.37895
Step-by-step explanation:
Graph the line below:
y = -2x + 7
Answer:
Below.
Step-by-step explanation:
When x = 0, y = 7
and when y = 0, x = 3.5.
So plot the 2 points (0, 7) and (3.5, 0) on the grid and draw a straight line through these 2 points.
Connect these points \((\frac{7}{2} ,0)\) and \((0, 7)\) through a straight line. And this line represents \(y = -2x + 7\).
How to graph a line?To graph a line we follow the following steps:
Find the y-intercept = b of the equation y = mx + b.Plot the y-intercept. The point will be (0, b).Plot the x intercept. The point will be (x, 0). Connect those two points with your line.According to the given question.
We have a equation of line
\(y = -2x+7\)
The above equation of line is already in the slope intercept form.
So, the graph the line y = -2x + 7.
We first find the y intercept.
On comparing the above equation with y = mx + b, we get y = 7.
⇒ The point (0, 7) is our y intercept.
Therefore, we plot the y intercept or mark the point (0, 7) on graph.
Then we find the x intercept.
\(0 = -2x + 7\) ( substitute y = 0)
⇒\(x = \frac{7 }{2}\)
⇒ (\(\frac{7}{2}\), 0 ) is our x intercept.
Connect these points \((\frac{7}{2} ,0)\) and \((0, 7)\) through a straight line. And this line represents \(y = -2x + 7\).
Find out more information about how to graph a line here:
https://brainly.com/question/27916124
#SPJ3
Blake has the following scores on his Algebra tests this semester: {100, 85, 55, 95, 75, 100} How many scores are within one standard deviation of the mean?
The number of Blake's scores that are within one standard deviation from the mean are; Five scores
What is a standard deviation?The standard deviation is obtained from the square root of the squared average of the squared differences between each data point in the dataset and the mean.
The mean of the scores is; (100 + 85 + 55 + 95 + 75 + 100)/6 = 85
The square of the difference are;
(100 - 85)² = 225, (85 - 85)² = 0, (55 - 85)² = 900, (95 - 85)² = 100, (75 - 85)² = 100, and (100 - 85)² = 225
The sum of the squares of the difference from the mean is therefore;
225 + 0 + 900 + 100 + 100 + 225 = 1550
The variance = The average of the squared deviation is therefore;
Variance = 1550/6 = 258.\(\overline{3}\)
The standard deviation is therefore; σ ≈ √(258.\(\overline{3}\)) ≈ 16.07
The scores that are one standard deviation from the mean are;
85 - 16.07 ≤ Score ≤ 85 + 16.07
68.93 ≤ Score ≤ 101.07
Therefore, the scores that are within one standard deviation from the mean are; 75, 85, 95, 100, 100, therefore, five scores are within one standard deviation from the mean.
Learn more on standard deviations here: https://brainly.com/question/20714144
#SPJ1
x^2=a^2, what does x equal?
x=±a
1. take the square root of both sides
When inflating a balloon, which of the following represents an equal but opposite force acting on the balloon?
A.) releasing the balloon
B) the air entering the balloon
C) tying the balloon
D) the expansion of the balloon
When inflating a balloon, the expansion of the balloon represents an equal but opposite force acting on the balloon
What is force?A force is an influence that has the power to alter an object's motion. A force can cause an object with mass to accelerate when it changes its velocity, for as when it moves away from rest. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction. It is calculated using the newton SI unit (N). Force is denoted by the letter F.Thrust, which increases an object's velocity; drag, which decreases an object's velocity; and torque, which causes changes in an object's rotational speed, are all concepts connected to force. Each part of an extended body often exerts stresses on the sections that are nearby; the distribution of these forces throughout the body is what is known as the internal mechanical stress. Due to the balance of the forces, such internal mechanical stresses do not generate acceleration of that body. Pressure is a straightforward form of stress that, if unbalanced, can cause the body to accelerate. Pressure is the distribution of several small forces applied over an area of a body. Stress typically results in the flow of fluids or the deformation of solid materials.To learn more about force, refer to
https://brainly.com/question/12785175
#SPJ2
I have $28.65 worth of coins. The coins are in denominations of 1, 5, 10, 25, 50 cents and $1.
If there are equal number of coins of each denomination, how many coins are there in all?
Answer:
15 equal number of coins of each denomination90 coins are there in all together.Step-by-step explanation:
make all the currency to cents
[ let x be the equal number of coins in each denomination ]
x (1+5+10+25+50+100) = 2865
x (191) = 2865
x = 2865 ÷ 191
x = 15
There are 15 equal number of coins of each denomination.
There are 6 types of coins - 1c, 5c, 10c, 25c, 50c, 100c
So there are [ 6 * 15 ] → 90 coins in all together.
Answer:
90 coins
Step-by-step explanation:
let x = number of coins of each denomination:
\(0.01x+0.05x+0.1x+0.25x+0.5x+x=28.65\)
\(\implies 1.91x=28.65\)
\(\implies x=15\)
So there are 15 coins of EACH denomination.
As there are 6 different types of coins, there are 6 x 15 = 90 coins in total
A right triangle with a hypotenuse of 2√41 has an area of 40 square inches. Find the lengths of the other two sides.
The right triangle possible values of 'x', substitute them back into x = b² to obtain the corresponding values of 'b'. Then use the equation a = 80 / b to the values of 'a'.
Let's assume the lengths of the two legs of the right triangle are 'a' and 'b'. According to the Pythagorean theorem, the relationship between the sides of a right triangle is given by:
a² + b² = c²
where 'c' represents the length of the hypotenuse.
In this case, we're given that the hypotenuse (c) is 2√41, so we can substitute this value into the equation:
a² + b² = (2√41)²
a² + b² = 4 ×41
a² + b² = 164
Now, given that the area of the right triangle is 40 square inches, and the area of a triangle can be calculated using the formula:
Area = (1/2) × base ×height
Since right triangle is a right angle triangle, the legs (a and b) as the base and height. Therefore:
(1/2) × a ×b = 40
a ×b = 80
a system of equations:
a² + b² = 164
a ×b = 80
solve this system to find the values of 'a' and 'b'. There are different methods to solve systems of equations, but in this case, let's use substitution.
From the equation a × b = 80, one of the variables, for example, 'a':
a = 80 / b
Substituting this into the first equation:
(80 / b)² + b² = 164
6400 / b² + b² = 164
Multiply through by b²:
6400 + b⁴ = 164b²
the equation to obtain a quadratic equation:
b⁴ - 164b² + 6400 = 0
solve this quadratic equation for 'b'. a variable substitution:
Let x = b²
The equation becomes:
x² - 164x + 6400 = 0
Solve this quadratic equation for 'x' using factoring, completing the square, or the quadratic formula. Once you find the possible values of 'x', substitute them back into x = b² to obtain the corresponding values of 'b'. Then use the equation a = 80 / b to find the values of 'a'.
To know more about right triangle here
https://brainly.com/question/30966657
#SPJ4
Figure ABCD is a trapezoid.
a
Find the value of x.
В.
2x
С
#
15
#
+
3x + 10
А
D
x = [?]
=
Using the fact that the opposite sides of a trapezoid are parallel, we can set up the following equation:
2x + 15 = 3x + 10
Simplifying this equation, we get:
x = 5
Therefore, the value of x is 5.
To find the value of x, we use the fact that the opposite sides of a trapezoid are parallel. In this case, side AD is parallel to side BC. We also know that angles BCD and CDA are supplementary (they add up to 180 degrees) because they are adjacent angles that form a straight line.
Using this information, we can set up the equation 2x + 15 = 3x + 10, which represents the fact that the lengths of the two parallel sides and the length of the diagonal are related. Solving for x, we get x = 5. Therefore, the value of x is 5.
For more questions like Equation click the link below:
https://brainly.com/question/29657983
#SPJ11
A certain plant grows 134 inches every week. How long will it take the plant to grow 714 inches?
The information we know:
1 week = 134 inches
x = 714
What I did was, I divided 714 by 134 to find the amount of weeks:
\(714/134 = 5.3\)
So, from the equation, basically, in 6 weeks (actually 5.3 weeks) the plant will grow 714 inches long
thank you! ps can u give me brainly :3
A fair six-sided die is defined as a die that will have each of the 6 faces of the die comp up one-sixth of the time in the long run. A loaded six-sided die is defined as a die that has one face of the die that comes up more often than one-sixth of the time in the long run. An avid Yahtzee player wants to know whether or not his lucky die is loaded so that 4's appear more often than any other number. He throws his lucky die 85 times and noted that he rolled a 4 on 17 of those rolls. What are the hypothesis for this experiment
The hypotheses for this experiment are:
Null Hypothesis (H0): The die is fair, and the probability of rolling a 4 is equal to 1/6.
Alternative Hypothesis (Ha): The die is loaded, and the probability of rolling a 4 is greater than 1/6.
In this case, the avid Yahtzee player wants to test whether his lucky die is loaded in favor of rolling 4's more often than any other number. The null hypothesis assumes that the die is fair, meaning all outcomes (including rolling a 4) have an equal probability of 1/6. The alternative hypothesis suggests that the die is loaded and that the probability of rolling a 4 is greater than 1/6.
To know more about Null hypothesis, visit,
https://brainly.com/question/4436370
#SPJ4
Kyle went skydiving and jumped out of a plane that was 3,700 feet in the air. He fell at a rate of 75 feet every 5 seconds. How long will it take for Kyle to hit the ground?
i know this is easy but can someone answer the following questions
Complete the following. Show all work for calculations. 25 points if answered correctly
List the dimensions of your box. Be sure to include the units (in, cm, ft, etc.).
Describe the shape of the cross section when the box is cut parallel to the base.
What is the surface area of the box?
What is the surface area of the box if it is scaled up by a factor of 10?
What is the volume of the box?
What is the volume of the box if it is scaled down by a factor of
1
10
?
Answer:
541/2 square
Step-by-step explanation:
What is the volume of the box if it is scaled down by a factor of 1/10
we know that
the volume of the smaller box=[scale factor]³*volume original box
scale factor=1/10
volume original box=5,120 cm³
so
volume of the smaller box=[1/10]³*5,120-----> 5.12 cm³
the answer part 6) is
5.12 cm³
The base of a solid is a circular disk with radius of 6. Find the volume of the solid if parallel cross sections perpendicular to the x-axis are squares. Set-up but do not evaluate the integral.
The integral to find the volume V is then:
V = ∫[0 to L] 144 dx
What is volume of the solid?
The volume of a solid is a measure of how much area of space an object occupies. It is measured by the number of unit cubes needed to fill the body. It is decided by counting the unit cubes in the solid.
To find the volume of a solid, we need to consider parallel cross-sections perpendicular to the x-axis. Since these cross-sections are square, each square cross-section will have the same area throughout the body.
Consider a representative square cross-section at a given x-coordinate. The length of each side of this square will be equal to the diameter of the corresponding circular disc at this x-coordinate. Since the radius of a circular disk is given as 6, the diameter will be twice the radius, which is 12.
Therefore, the area of a square cross-section at any coordinate is x (12)^2 = 144 square units.
To find the volume of a body, we must integrate the areas of all these square cross-sections over the range of values of x that the body occupies. Since no specific range is mentioned in the information provided, I will assume that the body extends from x = 0 to x = L, where L is the length of the body along the x-axis.
The integral to find the volume V is then:
V = ∫[0 to L] 144 dx
Note: dx represents an infinitesimal change in x.
Note that this integral is just a setup and the actual evaluation of the integral is not required in the question.
To learn more about volume of solid from the given link
https://brainly.com/question/29246646
#SPJ4
Please help me there are 4 questions 3 more please it's a test grade, please don't put random answeres.
As per the reflection rule, the location of point A is (-2,7)
Reflection rule:
(i) Change the sign of x-coordinate.
(ii) Retain the y-coordinate.
Therefore, when a point is reflected over the y-axis, the sign of its x - coordinate changes.
Given,
Here we have the graph and in the graph we have the point A as (2,7).
Now, we need to find the new location when the point is reflected across y axis.
Here we know that, the point A is reflected over the y axis.
When we apply the reflection over y axis rule, that is,
( x ,y) →→ ( -x , y)
When we looking at the rule, the sign of the x coordinate is changed.
Thus makes the point that reflected across the y axis as,
=> point A ( 2, 7) →→ ( -2 , 7)
Therefore, point A ( 2, 7) has the new location ( -2 , 3) after reflection.
To know more about Reflection rule here.
https://brainly.com/question/2232468
#SPJ1
PLZ HELP FIND R AND EXPLAIN
Answer:
r = 46
Step-by-step explanation:
as in the attachment, have created the CEF triangle by stretching lines.
hope it helps:)
good luck:)
Can you help me please.
what do you want us to do with the equation? evaluate it? solve for X? solve for y? if you don't tell us then we cannot solve it
Step-by-step explanation:
you never really specified what you want us to do with the equation