The equation in slope intercept form is,[tex]31.25 = 1.25 \times 25 +0[/tex]. The given equation is obtained by comparing the standard equation of the straight line.
What is a slope of a straight line?
A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The given equation is;
1.25 (25) = 31.25
31.25=1.25 (25)
The standard equation of the slope intercept form. is;
[tex]\rm y = mx +x[/tex]
On comparing the given equation with the above equation, we get;
y=31.25
m=1.25
x=25
c=0
The equation in slope intercept form is;
[tex]31.25 = 1.25 \times 25 +0[/tex]
Hence, the above equation is the slope intercept form.
Learn more about the slope of the straight line;
brainly.com/question/3493733
#SPJ1
can you please answer and explain this question
Answer:
mean: 106900
median: 8500
mode: 7,000, 8,000, and 11,000
Step-by-step explanation:
To calculate mean, add them all together and divide the number of how many numbers it has. For median make out the sequence from small to large. For this one is 5,000, 7, 000, 7,000, 8,000, 8,000, 9,000, 10,000, 11,000, 11,000, 1,000,000. The middle is between 8,000 and 9,000 so find it's middle number. The mode is the number that appears the most. In this case 7,000, 8000, 11,000 all appeared twice so they are the mode.
The New York Yankees are having a promotion. For the first 2500 fans to enter the stadium they will receive a signed baseball. The stadium holds 50086 people and was sold out for the game. What is the probability of receiving one of the signed baseballs?
Answer:
Step-by-step explanation:
Comment
(Fans who received a baseball) = 2500
Total number of seats in Yankee Stadium = 50086
P(those who got a baseball) = 2500 / 50086
Answer P(Those who got a baseball) = 0.04991 rounded.
What would you have to show in order to prove that a quadrilateral is a rectangle?
A. Consecutive sides have opposite reciprocal slopes.
B. All sides are congruent.
C. Opposite sides are parallel.
D. Consecutive sides are congruent,
but opposite sides are not.
Answer:
A. Consecutive sides have opposite reciprocal slopes
Step-by-step explanation:
A rectangle is a special case of parallelogram, in which the diagonals bisect each other and are the same length, and all angles are right angles. In order to prove a quadrilateral is a rectangle, it can be shown to be a parallelogram, but one or the other of these additional characteristics must be proven.
__
A. Consecutive sides have opposite reciprocal slopes
Sides with opposite reciprocal slopes will be perpendicular. That is, the angle between them will be a right angle. If all pairs of consecutive sides meet at right angles, the figure must be a rectangle.
B. All sides are congruent
A rhombus is a quadrilateral in which all sides are congruent. It will only be a rectangle if the diagonals are the same length, or, equivalently, adjacent sides meet at right angles.
C. Opposite sides are parallel
A parallelogram will have opposite sides parallel. It will only be a rectangle if the diagonals are the same length, and/or adjacent sides meet at right angles.
D. Consecutive sides are congruent, opposite sides are not.
This seems a contradiction, as opposite sides are consecutive to the same side. (For example, sides AB and CD are both consecutive to side BC.) If we take this to mean that there are two pairs of consecutive congruent sides, then the figure may be a kite, but isn't necessarily a rectangle unless the other conditions are met.
_____
Additional comment
If sides are horizontal and vertical, the slope of the vertical sides is "undefined." It cannot be shown to be the opposite reciprocal of the slope of the horizontal sides.
What is the coefficient of x after simplifying the expression?
7y + 4x + 4 - 2x +8
Answer:
The coefficient of x is 2.
Step-by-step explanation:
1) Add the numbers
7y + 4x + 4 - 2x + 8
7y + 4x + 12 - 2x
2) Combine like terms
7y + 4x + 12 - 2x
7y + 2x + 12
3) Rearrange items
7y + 2x + 12
2x + 7y + 12
Your supposed to try and find X. I got 20 with trial and error and it fits but I’m not sure if that’s the right answer or how to get it
Answer:
x = 20
Step-by-step explanation:
The problem tells you the relationship between time, distance, and speed. Use the given relations to find the total journey time.
__
equationtotal time = Journey A time + Journey B time
total time = (distance A)/(speed A) + (distance B)/(speed B)
total time = 15/x +6/(x+4) = 1 . . . . . using the given values
solutionMultiplying by x(x+4) we have ...
15(x +4) +6(x) = (x)(x +4)
21x +60 = x² +4x
x² -17x -60 = 0 . . . . . rearrange to standard form
(x -20)(x +3) = 0 . . . . factor the equation
x = 20 or x = -3 . . . values of x that satisfy the equation
We know the speed must be positive, so x = -3 is an extraneous solution.
The value of x is 20 (km/h).
Select the correct answer.
Consider this quadratic equation.
X^2+ 1 = 2x-3
Which expression correctly sets up the quadratic formula?
OA. -(-2) + 2)2 - 4(1)(4)
2(1)
OB.-(-2) + VE-2)2 – (1)(4)
2(2)
OC -2 + (-2)2 - 4(1)(4)
2(1)
OD. -2 + (2)2 – 4(1)(-2)
2(1)
Find the values a, b, and c to substitute into the quadratic formula.
Remember:Standard formNotice how there are a, b, and c. Everything is left of the equal sign, leaving 0 on the right.
ax² + bx + c = 0
Quadratic formulaNotice how there are a, b, and c too, just like in standard form. After we find standard form, we can substitute a, b and c values into the quadratic formula.
[tex]\displaystyle{x=\frac{-b \pm \sqrt{b^{2}-4ac}}{2a} }[/tex]
Step-by-step solutionHere are the steps we will follow:
Rearrange the equation from the question into standard form.Determine the values for a, b, and c.Substitute a, b, and c into the quadratic formula.Compare options and simplify as needed.Rearrange into standard formMove everything to the left while keeping both sides equal.
x² + 1 = 2x – 3 Equation from the question
x² + 1 + 3 = 2x – 3 + 3 Add three to both sides.
x² + 1 + 3 = 2x -3 + 3 cancels out to 0.
x² + 4 = 2x Simplify.
x² + 4 – 2x = 2x – 2x Subtract 2x from both sides.
x² + 4 – 2x = 0 No numbers on the right side is the same as 0.
x² – 2x + 4 = 0 Rearrange to follow ax² + bx + c = 0.
Determine a, b, and c valuesFind a, b, and c from standard form.
ax² + bx + c = 0 Standard form
x² – 2x + 4 = 0 No number attached to x² means a = 1.
a = 1, b = –2, and c = 4
Substitute into the quadratic formulaSubstitute a = 1, b = –2, and c = 4 into the quadratic formula.
[tex]\displaystyle{x=\frac{-b \pm \sqrt{b^{2}-4ac}}{2a} }[/tex]
Here is how our formula set up should look:
[tex]\displaystyle{x=\frac{-(-2) \pm \sqrt{(-2)^{2}-4(1)(4)}}{2(1)} }[/tex]
Compare answer optionsLet's compare formula set up to the options in the question.
The denominator is 2(1). So, the answer is not option B.
Inside the square root, it says –4(1)(4). So, the answer is not option D.
This leaves us with either option A or option C.
SimplifyBefore the ±, it says –(–2). When simplified, –(–2) is 2.
Option C has –2. So, the answer is not option C.
Inside the square root, it says (–2)², which is equal to 2².
When solving exponents of negative numbers,
an odd exponent results in a negative product, and;an even exponent results in a positive product.The exponent 2 is even.
(–2)² = 4
∵ (–2)² = 4 and 2² = 4
∴ (–2)² = 2²
(–2)² is the same as 2².
Therefore, the answer is option A.
Given the information marked on the figures below, classify each quadrilateral as a "Parallelogram" or "Not necessarily a parallelogram."
Note that each figure is drawn like a parallelogram, but you should not rely on how the figure is drawn in determining your answers.
If necessary, you may learn
The quadrilateral which can be considered as a "Parallelogram" or "Not necessarily a parallelogram. are second and fourth figure.
"The correct figures are (b) and (d)
What is a parallelogram?A parallelogram is a quadrilateral with opposite sides parallel (and therefore opposite angles equal).
The first one is a parallelogram because, the angle are shown are alternate interior angles which defined between two parallel lines.The second one is not a parallelogram because, the angle are shown are alternate interior angles which should defined between two parallel lines. But there are no parallel lines.The third one is not a parallelogram because, the parallelogram have opposite angles are equals not the adjacent angle.Here the adjacent angle are given equal.
The fourth one is a parallelogram because, the opposite side of parallelogram are equal and parallel to each other.Learn more about parallelogram here:
https://brainly.com/question/14708246
#SPJ1
-4x + 2 > 26.
O A. x> 6
O B. x < 6
O C. x>-6
O D. x<-6
- - - - - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]
What is -4x+2>26?
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\diamond[/tex]
First subtract 2 on both sides, which results in
-4x>24
Now, divide by -4 on both sides:
x<-6
The inequality sign changed because we divided both sides by a negative number.
So the values of x less than -6 will make this inequality true (will satisfy the inequality).
Good luck.- - - - - - - - - - - - - - - - - - - - - - - - - - - -
The number of hours that the employees at the grocery store worked last week is normally distributed with a mean of 24 and a standard deviation of 6. If there are 50 total employees, approximately how many worked at least 30 hours last week?
Ash buys 5 bunches of flowers. Each bunch contains 10 flowers. He gets 8 more flowers from his yard.
Let f represent the number of flowers Ash has in all.
Answer:
Ash has 58 flowers in total
Step-by-step explanation:
Given:
- buys 5 bunches
- each bunch contains 10 flowers
- 8 more flowers from his yard.
5 bunches times 10 flowers plus the 8 more flowers from the garden
F = 10(5) + 8
F = 50 + 8
F = 58
Answer:
Ash has 58 flowers in all
Step-by-step explanation:
Y representing = bunches of flowers
F representing = the flower
1. Y=10f
2. Y=10f 5 x 10 = 50
3. Y=10f 50 + 8 = 58
4. Y=10f
5. Y-10f
f = 58
pls someone help, my he is due by tonight
Answer:
I hope it helps................
Whats the area of a circular lamp base that is 20cm in diameter?
Answer:
314.16cm²
Step-by-step explanation:
please mark me as brainliest.hope this helps
which prism has the greatest value
100 POINTS!! NEED ANSWER ASAP!! A circle with center O is shown. Match each part of the circle to the term that describes it. Match the tiles.
Answer:
Step-by-step explanation: Parts of a circle.
Radius - the side of one slice of pizza
minor arc - The arc formed by the outer side of 3 or less slices of pizza
Diameter - the slice of pizza from side to side that passes through the center
Major arc - The arc formed by the outer side of 5 to 7 slices of pizza
semi circle - 4 slices of pizza or half of the whole pizza
Pairs:
angle BAC - Inscribed angle
Line IE - Secant
Segment AC - Chord
Arc FH - Minor arc
Angle HGF - Circumscribed angle
The complete sentences are:
angle BAC - Inscribed angleLine IE - SecantSegment AC - ChordArc FH - Minor arcAngle HGF - Circumscribed angleWhat is secant and chord?A secant line is a straight line that passes through two points on a circle. The section of the line that connects two separate circle points is known as a chord. Every secant line defines a distinct chord, and each chord is in its own unique secant line.
Given:
We have circle with center O.
Now, <BAC is inside the circle.
So, <BAC is an Inscribed angle.
then, IE is a secant as it is intersecting circle at two points
then, AC id a chord
then, Arc FH is a minor arc
and, <HGF is an Circumscribed angle as it is outside the circle.
Learn more about secant & chord here:
https://brainly.com/question/19008587
#SPJ5
!!PLEASE HELP!!
I've been stuck on this for 2 hours I have no idea what I'm doing pls explain your answer am begging you
Answer:
So basically there are the letters V, U , T, and S on each corner right? If you remove the X and cross in the middle, the shape of V, U, T, and S gives you a parallelogram. A parallelogram is a shape that has two pairs of parallel sides. The lines V and U are parallel to the lines S and T. The same goes for lines V and S; they are parallel to U and T.
Step-by-step explanation:
I hope this helped! I tried to explain the best as I could..
17) Your parents put $2000 into an account when you were born. This account has an interest rate of 8%
How much money will be in the account on your 18th birthday if the interest is
a) Compounded annually?
b) Compounded continuously?
Answer:
a.......4880
Step-by-step explanation:
b.......180 per year
A ______ is sometimes a rectangle
1: parallelogram
2: rhombus
3: square
4: trapezoid
Answer:
A square is sometimes a rectangle, but a rectangle is never a square.
a. find the surface area of the rectangular prism
b. find the volume.
a. find the volume of the prism
b. find the surface area of the prism.
Answer:
For rectangulasr prism
a. [tex]72cm^3[/tex]
b. [tex]108cm^{3}[/tex]
Step-by-step explanation:
For rectangulasr prism
a. Equation: Volume = length x width x height
length: 6cm
width: 4cm
height: 3cm
Volume = 6cm x 4cm x 3cm
Volume = 24cm x 3cm
b. Equation: A = 2[(width x length) + (height x length) + (heigth x width)]
A = 2[(4cm x 6cm) + (3cm x 6cm) + (3cm x 4cm)]
A = 2[(24cm) + (18cm) + (12cm)]
A = 2[(24cm) + (30cm)]
A = 2[(54cm)]
A school nutritionist wanted to Determine which type of lunch was most popular to do this she kept track of the number of each top of lunch sold to the students in one day how many more burger lunches than chicken lunches for salt
A ratio shows us the number of times a number contains another number. The number of students the cafeteria should expect to buy chicken is 260.
What is a Ratio?A ratio shows us the number of times a number contains another number.
The ratio of the number of students to the number of total students can be written as,
Ratio = (Number of students)/(Number of total students)
Ratio = 52/(52+26+30+48+44) = 52/200
Now, the same ratio is applicable to 1000 students, therefore, the ratio will be,
Number of students who prefer burgers= 1000 × (52/200) = 260
Hence, the number of students the cafeteria should expect to buy chicken is 260.
Learn more about Ratios:
brainly.com/question/1504221
#SPJ1
What is the domain of the function graphed below?
O X<7
O x<_7
O-2
O all real number
Reason:
The domain is the set of allowed x inputs.
The graph shows an open hole at x = 7, meaning that 7 itself isn't part of the domain. But any value smaller than this will be part of the domain. So that's why we go for x < 7.
The value x = -1 is allowed since we have a closed endpoint for one of the pieces here.
The arrow pointing to the left indicates that piece goes on forever in that direction.
Answer:
x < 7
Step-by-step explanation:
The domain of the function is less than 7 as indicated by the open dot. (a closed dot indicates ≥ or ≤)
At x = -1, it is part of the domain because there is at least one closed dot indicating it is part of the domain.
The domain of the function is :
x < 7Need help thank you
Answer: [tex]i\sqrt{5}[/tex]
Step-by-step explanation:
[tex]\sqrt{-5}=\sqrt{(-1)(5)}=\sqrt{-1} \sqrt{5}=\boxed{i\sqrt{5}}[/tex]
How many miles is 2 hours and 45 minutes ?
Answer:
24.85 mph
Step-by-step explanation:
I hope you have a great day:)
Porter has $99.931 in a savings account. The interest rate is 14% per year and is not compounded. To the nearest dollar, how much interest will he earn in 5 years?.
Use the formula i = prt, where I is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and it is the time in years. Round your answer to the nearest dollar.
$?
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$99.931\\ r=rate\to 14\%\to \frac{14}{100}\dotfill &0.14\\ t=years\dotfill &5 \end{cases} \\\\\\ I = (99.931)(0.14)(5)\implies I\approx 70[/tex]
What is the perimeter of this rectangle?
Answer:
6[tex]\sqrt{17}[/tex] or 24.738634
Step-by-step explanation:
We can use the Pythagorean theorem to find the length of the sides. We will only need to find the length of AB and AD, as AB = DC and AD = BC.
The picture shows the Pythagorean theorem being used to find AB and AD.
AB = [tex]\sqrt{17}[/tex]
AD = [tex]\sqrt{68}[/tex]
Now we can find the perimeter
2([tex]\sqrt{17}[/tex]) + 2([tex]\sqrt{68}[/tex]) = 6[tex]\sqrt{17}[/tex]
The temperature at midnight was -8°C. The temperature at 5 am was -3°C. (a) Work out the difference between the two temperatures. (b) The temperature at midday was 9°C higher than the temperature at 5 am.. Work out the temperature at midday.
a) The difference between the temperatures is 5°c.
b) We will see that at midday, the temperature is 12°C.
How to find the differences between the temperatures?
We know that at midnight the temperature was T = -8°C, and at 5am the temperature was T' = -3°C.
a) First we want to find the difference between the temperatures, we can compute that directly:
T' - T = -3°C - (-8°C) = 5°C
This means that the temperature increased 5°C in that time interval.
b) At midday, the temperature was 9°C higher than at 5am, this means that:
T'' - T' = 9°C
T'' - 3°C = 9°C
Now we can solve this for T''
T'' = 9°C + 3°C = 12°C
At midday, the temperature is 12°C.
If you want to learn more about temperature.
https://brainly.com/question/25290815
#SPJ1
Which is a diagonal through the interior of the cube?
BE
CF
DG
GF
Answer:
CF is a diagonal through the interior of the cube.
10.) 189 girls and 115 boys signed up for art lessons.
The pupils were divided equally into 8 classes.
How many pupils would there be in each class?
Answer:
38
Step-by-step explanation:
add 189+115 = 304
then 304÷8 =38
Which of the following sets does not contain any irrational numbers?
PICTURE OF SETS SHOWN BELOW.
Thank you so much
Answer:
4 +311/59 answer IsD ong I know
why do we buy pre bc i dont want it
In terms of the number of marked mountain goats, what is the relative frequency for male goats, female goats, adult goats, and baby goats? Write your answers as simplified fractions.
Elk Mountain Goat Deer Moose
Male 105 71 42 52
Female 120 93 63 34
Adult 173 103 72 58
Baby 52 61 33 28
Answer:
The answer is below.
Step-by-step explanation:
Elk: Total elk is 225
Males: [tex]\frac{105}{225}=\frac{7}{15}[/tex]Females: [tex]\frac{120}{225}=\frac{8}{15}[/tex]Adults: [tex]\frac{173}{225}[/tex]Baby: [tex]\frac{52}{225}[/tex]Mountain Goat: Total Goat is 164
Males: [tex]\frac{71}{164}[/tex]Females: [tex]\frac{93}{164}[/tex]Adults: [tex]\frac{103}{164}[/tex]Baby: [tex]\frac{61}{164}[/tex]Deer: Total Deer is 105
Males: [tex]\frac{42}{105}[/tex]Females: [tex]\frac{63}{105}[/tex]Adults: [tex]\frac{72}{105}[/tex]Baby: [tex]\frac{33}{105}[/tex]Moose: Total Moose is 86
Males: [tex]\frac{52}{86}=\frac{26}{43}[/tex]Females: [tex]\frac{34}{86}=\frac{17}{43}[/tex]Adults: [tex]\frac{58}{86}=\frac{29}{43}[/tex]Baby: [tex]\frac{28}{86}=\frac{14}{43}[/tex]