what number is greater 3 or 5
Answers
Answer:
5
Step-by-step explanation:
Because 5 is greater than 3 by 2
(5-3=2)
Answer:
5 is greater than 3
Step-by-step explanation:
cause the is the third number
and 5 is the fifth number
basically 5 will get you a greater number than 3
Related Questions
This table represents a quadratic function.
y
x
0
14
1
10.5
2
8
3
6.5
4
5
6.5
What is the value of a in the function's equation?
A.2
B.1/2
C.-1/2
D.1
Answers
Answer:
B. 1/2
Step-by-step explanation:
y = ax^2 + bx + c
14 = a(0)^2 + b(0) + c
c = 14
10.5 = a(1)^2 + b(1) + 14
10.5 = a + b + 14 ____(i)
8 = a(2)^2 + b(2) + 14
8 = 4a + 2b + 14
4 = 2a + b + 7 ___ (ii)
i - ii
10.5 - 4 = -a + 7
6.5 = -a + 7
a = 7- 6.5
a = 0.5
Value of a in the quadratic function is 0.5
What is Quadratic function?In algebra, a quadratic function, a quadratic polynomial, a polynomial of degree 2, or simply a quadratic, is a polynomial function with one or more variables in which the highest-degree term is of the second degree
Given,
Quadratic function
y = \(ax^{2}+bx+c\)
Consider values in the table x= 0 and y =14
\(14=a(0)^{2}+b(0)+c\\ c=14\)
Consider x=1 and y = 10.5
\(10.5=a(1^{2})+b(1)+c\\ a+b=10.5-14\\a+b=-3.5\)
Consider x=2 and y =8
\(8=a(2^{2})+b(2)+c\\ a\\8=4a+2b+14\\4a+2b=-6\\2a+b=-3\)
Subtract a + b= -3.5 from 2a + b= -3
a=-3--3.5=0.5
Hence, the Value of a in the quadratic function is 0.5
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17. P(-6, 16), Q(2, -4), R(-6, 14), S(-2, 4)Slope of PQ Slope of RSTypes of Lines
Answers
The formula for finding slope is expressed as
slope = (y2 - y1)/(x2 - x1)
where
y2 and y1 are final and initial values of the y coordinates respectively
x2 and x1 are final and initial values of the x coordinates respectively
Considering line PQ,
x1 = - 6, y1 = 16
x2 = 2, y2 = - 4
Slope = (- 4 - 16)/(2 - - 6) = - 20/8
Slope = - 2.5
Considering line RS,
x1 = - 6, y1 = 14
x2 = - 2, y2 = 4
Slope = (4 - 14)/(- 2 - - 6) = - 10/4
Slope = - 2.5
If the slope of two lines are equal, it means that they are parallel. We can see that the slopes of PQ and RS are equal. Thus,
Line PQ is parallel to line RS
2
I need help with this question
Answers
Answer: 5x=10
Step-by-step explanation:
The frame for a garage roof is an equilateral triangle. The width of the garage is 12 feet. How tall is the garage roof?
Answers
Given that ∠1≅∠7 . Which theorem proves that d∥e? converse of the alternate interior angles theorem converse of the alternate exterior angles theorem alternate exterior angles theorem alternate interior angles theorem Parallel lines d and e intersected by a transversal. Line d is above line e. Angle 1 is above line d and to the left of the transversal. Angle 2 is above line d and to the right of the transversal. Angle 3 is below line d and to the left of the transversal. The angle below line d and to the right of the transversal is labeled 46 degrees. Angle 4 is above line e and to the left of the transversal. Angle 5 is above line e and to the right of the transversal. Angle 6 is below line e and to the left of the transversal. Angle 7 is below line e and to the right of the transversal.
Answers
Answer:
converse of the alternate exterior angles theorem
Step-by-step explanation:
just took the test
help me, thankyouuu sm!!
2. Find the value of supplementary angle of y for each polygon.
3. Calculate the sum of the exterior angles for the triangle. Then, compare with the sum of exterior angles of pentagon.
4. Derive a formula to obtain the value of interior angle of a regular n-sided polygon without calculating the value of it’s interior angle
Answers
A polygon is a planar figure characterized by a limited number of straight-line segments joined to create a closed polygonal chain in geometry.
What is a polygon?A polygon is a planar figure characterized by a limited number of straight-line segments joined to create a closed polygonal chain in geometry. A polygon is defined as a bounded planar region, a bounding circuit, or both.
2. Find the value of the supplementary angle of y for each polygon.
A.) For an isosceles triangle, using the base angle theorem we can write that the measure of the angle opposite to the congruent side will be equal. Therefore, the sum of the angles of the triangle can be written as,
y + y + 26° = 180°
2y = 154°
y = 77°
B.) The sum of the interior angles of a regular polygon is given as (n-2)180°, where n is the number of sides, also for a regular polygon the measure of each interior angle is equal. Since in a pentagon the number of sides is 5. Therefore, the measure of an interior angle can be written as,
y = [(n-2)180°]/n
y = [(5-2)180°]/5
y = 108°
3. The sum of the exterior angle of all the polygons is equal to 360°. Therefore, the sum of the exterior angles of the triangle and the pentagon will be the same, 360°
4. The formula to find the sum of the interior angles of a polygon, we can use the formula.
Sum of interior angles of an n-sided polygon = (n-2)180°
Where n is the number of sides.
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A bicycle traveled 150 meters west from point a to point b. then it took the same route and came back to point a. it took a total of 2 minutes for the bycycle to return to point a. what is the average speed and average velocity of the bycle
Answers
carlos swam to the bottom of a pool that is 12 feet deep. what is the opposite of carlos's elevation relative to the surface ?
A -12 C 12 feet
B 0 feet D 1/12 foot
Answers
The opposite of Carlo's elevation is 12 feet
Carlos is said to have submerged himself in a 12-foot-deep swimming pool.
Carlos' elevation will be -12 feet with regard to the surface because he submerged himself to the pool's bottom.
The elevation of Carlos as it relates to the ground would be opposite of -12 feet, or -(- 12) feet.
12 feet
Carlos' elevation in relation to the ground is therefore 12 feet higher than it should be.
Thus the opposite of Carlo's elevation is 12 feet .
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What is the volume of the prism? Enter your answer, as a mixed number in simplest form, in the box.
Answers
Answer:
I need a picture, but the formula for volume of a prism is V= base area* height
there is a picture with formulas attached too.
Step-by-step explanation:
Rounding decimals 3.7486 thousandths
Answers
Answer:
= 3.749
Step-by-step explanation:
3.7486
If the number to the right if the underlined number is less than 5 it will stay the same, in this situation it's more than 5 so the underlined number will round up. If it rounds up the number to the right of the underlined number will become zero.
If angle DEF is an isosceles triangle with DE congruent to EF, Find x
Answers
Answer:
Fourth choice, 16
Step-by-step explanation:
The 2 angles are both 74 degrees, so the side that is facing each angle will be the same length, so:
9x - 73 = 3x + 23
add 73 to both sides
9x = 3x + 96
subtract 3x from both sides
6x = 96
divide by 6
x = 16
Assume you earn $50,000 /year and contribute 10% of your salary to your 401 K, and your will employer match up to 3% of your salary. What is the total amount you are putting away in your account each year?
Answers
Answer:
To calculate the total amount, first find out how much you contribute and then add the amount your employer contributes.
Your contribution: 10% of $50,000
= ($50,000 * 10) / 100
= $5,000
Employer's contribution: 3% of $50,000
= ($50,000 * 3) / 100
= $1,500
Total contribution:
= Your contribution + Employer's contribution
= $5,000 + $1,500
= $6,500
So, the total amount being put away in your account each year is $6,500.
Step-by-step explanation:
Write the equation of an ellipse in standard form, and identify the end points of the major and minor axes as well as the foci. #23
Answers
ANSWER:
\(\begin{gathered} \frac{(x+5)^2}{5^2}+\frac{(y-2)^2}{2^2}=1 \\ \text{end points of the major axis }=(0,2),(-10,2) \\ \text{end points of the minor axis }=(-5,4),(-5,0) \\ f=(-5+\sqrt[]{21},2),(-5-\sqrt[]{21},2) \end{gathered}\)STEP-BY-STEP EXPLANATION:
We have the following equation of the ellipse in its standard form:
\(4x^2+40x+25y^2-100y+100=0\)We convert this equation to the general form of an equation of an ellipse with no center at the origin, like this:
\(\begin{gathered} 4x^2+40x+25y^2-100y=-100 \\ 4\cdot(x^2+10x)+25\cdot(y^2-4y)=-100 \\ \text{ We divide by 4} \\ (x^2+10x)+\frac{25}{4}\cdot(y^2-4y)=-25 \\ \text{ We divide by 25} \\ \frac{1}{25}(x^2+10x)+\frac{1}{4}\cdot(y^2-4y)=-1 \\ \text{ We complete both squares} \\ \frac{1}{25}(x^2+10x+25)+\frac{1}{4}\cdot(y^2-4y+4)=-1+\frac{1}{25}\cdot25+\frac{1}{4}\cdot4 \\ \frac{1}{25}(x+5)^2+\frac{1}{4}(y-2)^2=-1+1+1 \\ \frac{(x+5)^2}{25}+\frac{(y-2)^2}{4}=1 \\ \frac{(x-(-5))^2}{5^2}+\frac{(y-2)^2}{2^2}=1 \end{gathered}\)We have that the equation in its general form is the following:
\(\begin{gathered} \frac{\mleft(x-h\mright)^2}{a^2}+\frac{\mleft(y-k\mright)^2}{b^2}=1 \\ \text{ Therefore, in this case:} \\ h=-5 \\ k=2 \\ a=5 \\ b=2 \\ \text{end points of the major axis }=(-5+5,2),(-5-5,2)\rightarrow(0,2),(-10,2) \\ \text{end points of the minor axis }=(-5,2+2),(-5,2-2)\rightarrow(-5,4),(-5,0) \end{gathered}\)Now, we calculate the focus of the ellipse just like this:
\(\begin{gathered} c^2=a^2-b^2 \\ c=\sqrt[]{5^2-2^2} \\ c=\sqrt[]{25-4} \\ c=\sqrt[]{21} \\ \text{ Therefore, the foci is:} \\ f=(-5+\sqrt[]{21},2),(-5-\sqrt[]{21},2) \end{gathered}\)While practicing a tightrope walk at a height of 20 feet, a circus performer slips and falls into a safety net 15 feet below. The function h(t) = -16t+20, where t represents time measured in seconds, gives the performer's height above the ground (in feet) as he falls. Write and solve an equation to find the elapsed time until the performer lands in the net. You can solve using a graphing calculator.
Answers
Answer:
13
Step-by-step explanation:
6t-20
= 13
the math teacher gives each student a map of the amusement park that use a coordinate plane the meeting locates is at(0,0) on the map each unit is 100 ft the first ride that you want to try is located at the coordinates (0,4) the next one is located at (3,0) if you walk in a straight line from the first ride to the second ride how many feet would you travel
A.300 feet
B.400feet
C.500feet
D.700feet
Answers
Given:
Starting point = (0,0)
First ride = (0,4)
Second ride = (3,0)
In map, each unit = 100 ft
To find:
The actual distance between first and second ride.
Solution:
Distance formula: Distance between two points is
\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
Using the distance formula, we get the distance between first ride and second ride in the map is
\(d=\sqrt{(3-0)^2+(0-4)^2}\)
\(d=\sqrt{9+16}\)
\(d=\sqrt{25}\)
\(d=5\)
So, the distance between first ride and second ride in the map is 5 units.
We have,
1 units = 100 ft
5 units = 500 ft
The actual distance between first and second ride is 500 ft.
Therefore, the correct option is C.
Please see the image below(math)
Answers
Answer:
21
Step-by-step explanation:
If a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally.
AD AH
----- = ---------
AB AH +y
3 9
---- = ------
10 9+y
Using cross products:
3(9+y) = 9*10
27+3y = 90
3y = 90-27
3y =63
y = 63/3
y = 21
Answer:
y = 21
Step-by-step explanation:
According to the Side Splitter Theorem, if a line parallel to one side of a triangle intersects the other two sides, then this line divides those two sides proportionally.
Therefore, according to the Side Splitter Theorem:
\(\boxed{\sf AD : DB = AH : HC}\)
From inspection of the given triangle, the lengths of the line segments are:
AD = 3DB = 7AH = 9HC = yTo find the value of y, substitute the given line segment lengths into the proportion and solve for y:
\(\begin{aligned}\sf AD : DB &=\sf AH : HC\\\\3:7&=9:y\\\\\dfrac{3}{7}&=\dfrac{9}{y}\\\\3 \cdot y&=9 \cdot 7\\\\3y&=63\\\\\dfrac{3y}{3}&=\dfrac{63}{3}\\\\y&=21\end{aligned}\)
Therefore, the value of y is 21.
evaluate the indefinite integral. (remember to use absolute values where appropriate. use c for the constant of integration.) ∫cot(11x) dx
_____
Answers
ln(sin11x) + C is the equivalent integral
Integrating trigonometry functionsGiven the integral function below
∫cot(11x) dx
In trigonometry identities
cot(11x) = cos11x/sin11x
Substituting, we will have:
∫cot(11x) dx = ∫cos11x/sin11x dx
On integrating, the resulting result wil be:
∫cot(11x) dx = ln(sin11x) + C
Hence the resulting integral of cot11x is ln(sin11x) + C
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Geno wants to purchase a gym membership. He has no more than y dollars to spend. Total Fitness charges an initial fee of $100 plus $30 per month. Gymania charges an initial fee of $25 plus $50 per month. Write a system of inequalities. Let x represent the number of months. Please make sure your answer is correct.
Answers
Gymnasia has the better deal
Real life application: A line is represented by the equation ax+ by =4 a. When is the line parallel to the x-axis? b. When is the line parallel to the y-axis? c. Give values for a and b such that the line has a slope of 5/8
Answers
The equation of a line is given by,
\(ax+by=4\text{ ---(1)}\)The general equation of a line is given by,
\(y=mx+c\text{ ---(2)}\)Here, m is the slope of the line and c is the y intercept.
Rewrite equation (1) into the form of equation (2).
\(\begin{gathered} by=-ax+4 \\ y=\frac{-a}{b}x+\frac{4}{b}\text{ ---(3)} \end{gathered}\)Comparing equations (2) and (3), the slope of the line is
m=-a/b and the y intercept c=4/b
a)
A line is parallel to the x axis when the slope is equal to zero.
Therefore, the given line is parallel to the x axis if,
\(\begin{gathered} m=0 \\ \frac{-a}{b}=0 \\ a=0 \end{gathered}\)Since y intercept c=4/b , b cannot be zero.
So, the given line is parallel to the x axis when a=0 and b≠0.
b)
The line is parallel to the y axis when the slope is undefined.
When the line is parallel to the y axis, the x intercept can be found by putting y=0 in equation (1).
\(x=\frac{4}{a}\)The given line is parallel to the y axis when b=0 and a≠0.
c)
Given, the slope of line is m= 5/8.
From equation (2), the slope of line is m=-a/b.
Therefore,
\(\begin{gathered} \frac{-a}{b}=\frac{5}{8} \\ \frac{a}{b}=\frac{-5}{8} \end{gathered}\)Therefore, we can take a=-5 and b=8 when the line has slope 5/8.
Julio says, "If you subtract 11 from my number and multiply the difference by - 6, the result is
-78." What is Julio's number?
Julio's number is
Answers
Answer:
Julio's number is 24
Step-by-Step Explanation:
1. 24 - 11 = 13
2. 13 · -6 = -78
Answer:
26
Step-by-step explanation:
x and y are only correlated because z caused both to occur. in this example, z is known as a: x and y are only correlated because z caused both to occur. in this example, z is known as a: confounding variable
Answers
When x and y are only correlated because z caused both to occur. in this example, z is known as a: x and y are only correlated because z caused both to occur. in this example, z is known as a: confounding variable. This is true
What is a confounding variable?It should be noted that confounding variables are variables which affect other variables in such a way that it produces distorted associations between two variables. It should be noted that they confound the "true" relationship between two variables.
In this case, a causal relationship between two variables is often described as the way in which the independent variable affects the dependent variable.
Therefore, the information illustrated is true.
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You are the marketing manager for Coffee Junction. The revenue for the company is given by R(x)=− 32x 3+6x 2+18x+4 where R(x) is revenue in thousands of dollars and x is the amount spent each month on advertisement, in thousands of dollars. 0≤x≤25 a) At what level of advertising spending does diminishing returns start? Explain What this diminishing returns means for this company. b) How much revenue will the company earn at that level of advertising spending? c) What does 0≤x≤25 tell us with respect to this problem?
Answers
a) Diminishing returns start at x = 1, where the marginal revenue will be less than the marginal cost
b)At x = 1, the company will earn R(1) = -32 + 6 + 18 + 4 = -4,000 dollars.
c) 0 ≤ x ≤ 25 implies that the Coffee Junction company has the capacity to spend a maximum of 25,000 dollars per month on advertisements.
a) At what level of advertising spending does diminishing returns start?
Diminishing returns refers to a situation when the marginal return on investment decreases as more resources are devoted to it. For instance, in case of Coffee Junction, increasing the advertising expenditure may lead to higher revenue, but the marginal revenue (revenue generated by each additional dollar spent) will gradually decrease.
b) How much revenue will the company earn at that level of advertising spending?
At x = 1, the company will earn R(1) = -32 + 6 + 18 + 4 = -4,000 dollars.
c) What does 0≤x≤25 tell us with respect to this problem?
In this problem, 0 ≤ x ≤ 25 implies that the Coffee Junction company has the capacity to spend a maximum of 25,000 dollars per month on advertisements.
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A={1,2,5,7,9,10,13}
B={2,4,6,8,9,10,15}
Find A∩B Remember your answer should be between \{\} and separated by commas, such as {a,b,c} and in increasing order. Question 4
A={1,2,5,7,9,10,13}
B={2,4,6,8,9,10,15}
Find A∪B. Remember your answer should be between \{\} and separated by commas, such as {a,b,c} and in increasing order. No answer text provided. {1,2,4,5,6,7,8,9,10,13,15} No answer text provided. No answer text provided.
Answers
The intersection of sets A and B, denoted as A∩B, is the set of elements that are common to both sets. In this case, the intersection of sets A and B is {2, 9, 10}, as these elements appear in both sets.
The elements are listed in increasing order and enclosed in curly braces.The union of sets A and B, denoted as A∪B, is the set of all elements that belong to either set A or set B or both. In this case, the union of sets A and B is {1, 2, 4, 5, 6, 7, 8, 9, 10, 13, 15}, as these elements appear in either set A or set B or both. The elements are listed in increasing order and enclosed in curly braces.
To find the intersection, we compare the elements of set A with the elements of set B and select the common elements. In this case, the common elements are 2, 9, and 10.
To find the union, we combine all the elements from both sets, ensuring that each element is included only once. The resulting set includes all the elements from set A and set B without any repetition.
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In a class of students, the following data table summarizes how many students play
an instrument or a sport. What is the probability that a student chosen randomly
from the class plays a sport?
Plays a sport
Does not play a sport
Plays an instrument Does not play an instrument
3
8
10
9
Answers
Answer:
3 OR 8 hope this helps!
Step-by-step explanation:
Which algebraic expression represents each verbal expression?
a. the product of five and a number, decreased by eleven
b. the sum of a number and five less than eleven
c. five times a number fewer than eleven
d. the quantity of a number minus eleven, multiplied by five
Answers
Answer:
A) 5n − 11
B) 11 − (n + 5)
C) 11 − 5n
D) 5(n − 11)
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The required verbal algebraic expressions are given as ,
(a) 5x - 11 (b) (x + 5) - 11
(c) 5x - 11 (d) (x - 11)×5
What is an algebraic expression?The algebraic expression consists of constants and variables. eg x, y, z etc.
Here,
Let the number x,
a. The product of five and a number, decreased by eleven
⇒ 5x - 11
b. The sum of a number and five less than eleven
⇒ (x + 5) - 11
c. Five times a number fewer than eleven
⇒5x - 11
d. The quantity of a number minus eleven, multiplied by five
⇒(x - 11)×5
Thus, the required expression is shown above
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What percent is 18 out of 60
Answers
Answer:
The percent of 18 out of 60 is 30%
Step-by-step explanation: If you multiply 18/60 x 100% the answer will equal to 30%.
Hope this helps :)
The scores of a recent test taken by 1200 students had an approximately normal distribution with a mean of 225 and a standard deviation of 18. determine the number of students who scored between 200 and 245
Answers
If the probability will be 0.7842. Then the number of students who scored between 200 and 245 will be 941.
What is a normal distribution?The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.
The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.
The scores of a recent test taken by 1200 students had an approximately normal distribution with a mean of 225 and a standard deviation of 18.
Then the number of students who scored between 200 and 245 will be
Then the z-score for x = 200
\(z = \dfrac{200-225}{18}\\\\z = -1.389\)
Then the z-score for x = 245
\(z = \dfrac{245-225}{18}\\\\z = 1.1111\)
Then we have
\(\begin{aligned} P(-1.39 < z < 1.11) &= P(z < 1.11) - P(z < -1.389)\\\\&= P(z < 1.11)- [1-P(z > -1.389)] \\\\&=0.8665 - (1-0.9177) \\\\&=0.7842 \end\)
Then the number of students who scored between 200 and 245 will be
→ 0.7842 × 1200
→ 941.04 ≅ 941
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tran lee plans to set aside $2,600 a year for the next six years, earning 6 percent. what would be the future value of this savings amount?
Answers
We can use the formula for compound interest, to find the future value of Tran Lee's savings which would be approximately $22,179.60 after six years.
Using compound interest formula,
FV = PV x (1 + r)^n
where FV is the future value, PV is the present value, r is the interest rate per compounding period, and n is the number of compounding periods.
In this case, Tran Lee plans to save $2,600 per year for six years, so the present value is:
PV = $2,600 x 6 = $15,600
The interest rate is 6 percent, or 0.06, and the compounding period is one year.
Using the formula, we get:
FV = $15,600 x (1 + 0.06)^6
FV = $15,600 x 1.4185
FV = $22,179.60
Therefore, the future value of Tran Lee's savings would be approximately $22,179.60 after six years.
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Solve the system below. Then find −2xy.
x=−11−4y
2x−3y=11
Answers
Answer:
- 2xy = 6
Step-by-step explanation:
x = - 11 - 4y → (1)
2x - 3y = 11 → (2)
Substitute x = - 11 - 4y into (2)
2(- 11 - 4y) - 3y = 11 ← distribute parenthesis and simplify left side
- 22 - 8y - 3y = 11
- 22 - 11y = 11 ( add 22 to both sides )
- 11y = 33 ( divide both sides by - 11 )
y = - 3
Substitute y = - 3 into (1)
x = - 11 - 4(- 3) = - 11 + 12 = 1
solution is (1, - 3 )
Then
- 2xy = - 2 × 1 × - 3 = 6
Question 2 20 pts A p-value for correlation which is statistically significant implies the correlation is due to random chance. True O False Question 5 20 pts For each one unit increase in X we expect Y to increase by b1 units, on average. Interpretation of the intercept Interpretation of a residual Interpretation of r-squared Interpretation of the slope
Answers
A p-value for correlation which is statistically significant implies the correlation is due to random chance. The correct solution to this is False.
A p-value for correlation which is statistically significant implies that it is unlikely that the observed correlation is due to random chance alone. In other words, it suggests that there is evidence to support the presence of a true correlation between the two variables being studied. The p-value is a measure of the strength of evidence against the null hypothesis (i.e., that there is no correlation between the two variables), and a smaller p-value indicates stronger evidence against the null hypothesis.
Interpretation of the intercept: The intercept in a linear regression model represents the value of the dependent variable when all independent variables are equal to zero. It is the value of the dependent variable when there is no effect of the independent variable(s) on it. For example, in a regression model predicting height based on age, the intercept would represent the expected height of a person at age zero (which is not a realistic scenario).
Interpretation of a residual: A residual is the difference between the actual observed value of the dependent variable and the predicted value of the dependent variable based on the regression model. It represents the part of the dependent variable that the model was not able to explain. A positive residual means that the actual value is greater than the predicted value, while a negative residual means that the actual value is smaller than the predicted value.
Interpretation of r-squared: R-squared is a measure of how much of the variation in the dependent variable is explained by the independent variable(s) in the regression model. It ranges from 0 to 1, with higher values indicating a better fit of the model to the data. Specifically, it represents the proportion of the total variation in the dependent variable that is explained by the independent variable(s) in the model. For example, if r-squared is 0.75, it means that 75% of the variability in the dependent variable is explained by the independent variable(s) in the model.
Interpretation of the slope: The slope in a linear regression model represents the change in the dependent variable that is associated with a one-unit increase in the independent variable, holding all other variables constant. It reflects the average change in the dependent variable for each unit change in the independent variable. For example, in a regression model predicting height based on age, the slope would represent the average change in height for each additional year of age.
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