Answer:
m=1
Step-by-step explanation:
y= x + 14
This equation is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
The slope for the line is 1
Parallel lines have the same slope
m=1
if the equation x^2 +(k+2)x+2k=0 has equal roots,then the value of k is .....a.2 b.-2 c 1/2 d.none
Answer:
k=2
Problem:
if the equation x^2 +(k+2)x+2k=0 has equal roots,then the value of k is ..
Step-by-step explanation:
Since the coefficient of x^2 is 1, we can use this identity to aid us: x^2+bx+(b/2)^2=(x+b/2)^2.
So we want the following:
[(k+2)/2]^2=2k
Apply the power on the left:
(k+2)^2/4=2k
Multiply both sides by 4:
(k+2)^2=8k
Expand left side:
k^2+4k+4=8k *I used identity (x+c)^2=x^2+2xc+c^2
Subtract 8k on both sides:
k^2-4k+4=0
Factor using the identity mentioned a couple lines above:
(k-2)^2=0
Since zero squared is zero, we want k-2=0.
Adding both sides by 2 gives k=2.
A bakery owner asked 150 customers to taste a new type of cookie and found that 60 people liked it's taste.
Answer:
yes
Step-by-step explanation:
Here is the complete question :
A bakery owner asked 150 customers to taste a new type of cookie and found that 60 people liked its taste. 40% of the surveyed customers like the taste of the cookie. Is it an example of descriptive statistics?
Descriptive statistics are used to summarise the features or characteristics of a data or sample. It provides information on the features of sample collected.
Types of descriptive statistics
1. Measures of central tendency :
They include mean, median and mode
Mode refers to a value that appears most frequently in a data set.
Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order
Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number
Mean = sum of the numbers / total number
2. Measures of variation : It includes range, standard deviation and variance
3. Measure of position ; percentile and quartiles
4. Measure of frequency : count, percentage
Which translation vectors could have been used for the pair of
figures?
Select each correct answer.
The ratio of keepers to animals in the city zoo is 2 : 7. The table shows the current numbers of animals and keepers in the zoo. If 21 more animals are added, how many total keepers are needed to maintain the ratio of keepers to animals?
City Zoo
Number of Keepers Number of Animals
12 42
Answer:
18
Step-by-step explanation:
42+12= 63
63/7=9
9*2=18
Answer:
18
Step-by-step explanation:
plato/edmentum
The path of a projectile launched from a 20-ft-tall tower is modeled by the equation y = -5x2 + 40x + 20. What is the maximum height, in meters
reached by the projectile?
Answer:
30.49 m
Step-by-step explanation:
To obtain the maximum height, we solve for the value x when dy/dx = 0.
Since, y = -5x² + 40x + 20
dy/dx = d[-5x² + 40x + 20]/dx
dy/dx = -10x + 40
Since dy/dx = 0,
-10x + 40 = 0
-10x = -40
x = -40/-10
x = 4
Substituting x = 4 into the equation for y, we have
y = -5x² + 40x + 20
y = -5(4)² + 40(4) + 20
y = -5(16) + 160 + 20
y = -80 + 160 + 20
y = 80 + 20
y = 100 ft
Since y is in feet, we convert to meters.
Since 1 m = 3.28 ft, 100 ft = 100 ft × 1 m/3.28 ft = 30.49 m
So, the maximum height, in meters reached by the projectile is 30.49 m
help i’m so confused
Answer:
-27/7
Step-by-step explanation:
put x into the equation
Solve for x.
-9x + 7 < 25
I don't know I don't know I don't know I don't know I don't know I don't know I don't know
Find the circumference of this circle
using 3 for T.
C [?]
3
C = 27r
Use the formula shown C = 2PIr
r is the radius which is given as 3 and you are told to use 3 for pi:
C = 2(3)(3) = 18
The circumference = 18
if you are good at graphs this is good but please help it would mean a lot, I will give brain thingy
Answer:
(5, -6)
Step-by-step explanation:
The solution is where the lines cross.
Answer:
(5,-6)
Step-by-step explanation:
The solution to the system is where the two graphs intersect.
The graphs intersect at (5,-6)
Find the measure of the indicated side
Answer: X = 8
Step-by-step explanation:
Jorge compro en la papeleria 3 Borradores y 2 lápices, por ellos pago $47.50. si la suma de lo que cuesta un borrador y un lápizes $20 ¿cuanto vale cada borrador y cada lápiz?
Por favor es urgente
Answer:
Cost of each pencil = $12.5
Cost of each eraser = $7.5
Step-by-step explanation:
Given:
Number of eraser bought = 3
Number of pencil bought = 2
Total amount paid = $47.50
Cost of one pencil and one eraser = $20
Find:
Each cost
Computation:
Let;
Cost of each eraser = e
Cost of each pencil = p
So,
e + p = 20
e = 20 - p .................................... eq1
3e + 2p = 47.50
3(20 - p) + 2p = 47.50
60 - 3p + 2p = 47.50
-p = -12.5
Cost of each pencil = $12.5
e = 20 - p
e = 20 - 12.5
e = 7.5
Cost of each eraser = $7.5
Determine the length of AB.
16.3 units
23.6 units
5.7 units
14.9 units
Answer:
16.3
Step-by-step explanation:
i just took the quiz
Answer:
16.3 units
Step-by-step explanation:
Helloo, I just took the quiz too and the answer is 16.3
which number produces a rational number when added to 0.25
0.65 is the correct one if not up there try 0.45 other possible one
Step-by-step explanation:
A rational number is defined as any number which can be expressed in fractional p/q of two integers, where 'p' is the numerator and 'q' is the denominator. 'q' can never be zero. A rational number can also be expressed as a terminating decimal. So, when 0.25 is added in 0.45 it becomes 0.65 which is rational.
Joshua is 1.45 meters tall. At 2 p.m., he measures the length of a tree's shadow to be 31.65 meters. He stands 26.2 meters away from the tree, so that the tip of his shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter .
Answer:
height of the tree ≈ 8.42 m
Step-by-step explanation:
The diagram given represents that of two similar triangles. Therefore, the corresponding lengths of the similar triangles are proportional to each other.
height of tree = h
Therefore:
1.45/h = (31.65 - 26.2)/31.65
1.45/h = 5.45/31.65
Cross multiply
h*5.45 = 1.45*31.65
h*5.45 = 45.8925
h = 45.8925/5.45
h ≈ 8.42 m (nearest hundredth)
Aimee wants to cut a piece of ribbon that is 5 1/4 meters long into lengths that are 1 1/8 meters long. How many full pieces can she cut?
Answer:
Four pieces.
Step-by-step explanation:
If Aimee has a piece of ribbon that is 5 1/4, or 5 2/8 meters long, then you will want to divide that main part into smaller parts of the other length.
1 1/8 meters multiplied by 1 is 1 1/8 meters. This still fits. 1 1/8 meters multiplied by 2 is 2 1/4 meters. This still fits. 1 1/8 meters multiplied by 3 is 3 3/8 meters, which still fits. 1 1/8 meters multiplied by 4 is 4 1/2 meters, which still fits. However, once you reach 5, or 5 5/8 total, then that is over the size of the whole.
So, four full pieces can be cut.
solve |6x+3| = 27 .....
Answer:
Step-by-step explanation:
The absolute value of a number is defined as the positive of either a positive or a negative number. By that I mean that
| 1 | = 1 and | -1 | = 1. Right?
We use that idea here. Either:
6x + 3 = 27 OR 6x + 3 = -27 and solve both equations.
6x = 24 so x = 4 OR
6x = -30 so x = -5
Choice D is the one you want.
help asap please ------------------
Answer:
Correct answer 1
Step-by-step explanation:
Find the difference of the polynomials given below and classify it in terms of degree and number of terms.
Answer:
4th degree polynomial with 4 terms
Step-by-step explanation:
Given:
3n²(n²+ 4n - 5) - (2n² - n⁴ + 3)
Open parenthesis
= 3n⁴ + 12n³ - 15n² - 2n² + n⁴ - 3
Collect like terms
= 3n⁴ + n⁴ + 12n³ - 15n² - 2n² - 3
= 4n⁴ + 12n³ - 17n² - 3
Number 1 term is 4n²
Number 2 term is 12n³
Number 3 term is -17n³
Number 4 term is -3
The highest degree of the polynomial is 4th degree
Therefore,
The difference in 3n²(n²+ 4n - 5) - (2n² - n⁴ + 3) is
4th degree polynomial with 4 terms
Answer:
4th degree polynomial with 4 terms
Step-by-step explanation:
A bag contains 13 blue marbles, 12 red marbles, 6 yellow marbles, and 8 green marbles. What is
the probability of picking a red marble, putting that one back and then picking another red
marble?
4. Assume you have the same bag of marbles as the previous question. What is the probability of
selecting a yellow marble, then another yellow marble, then a red marble, and finally another
yellow marble, without replacing in between?
Answer:
12 in 29. uou add all the number together then and it is 12 red marbles in 29 chancesso you take one marble out and put the exact marble back in having no effect.
How many 2/3 are in 4 use the tape diagram
someone help me for this algebra task please
Answer:
Step-by-step explanation:
Answer:
The second one
Step-by-step explanation:
Obejctive: Real Wolrd Algebra.
X represent number of pound peaches sold and Y represent the total cost of the peaches. We can represent this as
[tex]y = 2x[/tex]
If someone sell something, they cant get negative profit from it, and if no one buy it, it doesnt mean that it will decrease the seller profit.
Using that knowledge, let go through each answer.
The first one is wrong, Real Numbers include negative numbers and you can't negatively sell something so that means you cant lose profit for not selling something( In some instances, you can but for this sake of the problem, you cant).
The second one is right It is possible that you dont sell nothing and gain no money from it. So y and xcan be zero. it also possible you sell something and get money from it.
The third one is wrong, it is possible that you sell something and get profit from it.
The fourth one is wrong, x can be any real number as long its greater than zero. Y can be any real number as long as it greater than zero, but it doesnt have to be a interger( counting number). What if you sell 1.3 pounds of peaches, you will get 2.6
3 + 5 . (-3)=
5 . ( - 6 + 2 ) - 4=
- 5 + 8 . 2 + 1=
4/6 + 13/6 - 5/6=
2 . 8 - 5 . (3 - 4)=
7/3 . 5/2=
Step-by-step explanation:
PEMDAS rule
3 -15 = -12
-20 - 4 = -24
-5 + 16 + 1 = 12
= 12/6 which = 2
15 + 5 = 20
35/6 = 5 5/6
a kid eat 5 sunscreen and sally eat seven sunscreen how much sunscreen was eat by both
Answer:
Both ate 12 sunscreens all together
5 + 7 = 12
Srsly tho, like who in their right mind eats sunscreen
Find K if x + 1 is a factor of P(x) = Kx^2-x+2
Answer:
[tex]K=-3[/tex]
Step-by-step explanation:
According to the Factor Theorem, a binomial (x - a) is a factor of a polynomial P(x) if and only if P(a) = 0.
We have the polynomial:
[tex]P(x)=Kx^2-x+2[/tex]
And we want to find the value of K such that (x + 1) is a factor.
We can rewrite our factor as (x - (-1)). Thus, a = -1.
Then in orer for (x + 1) to be a factor, P(-1) must equal 0. Hence:
[tex]P(-1)=K(-1)^2-(-1)+2=0[/tex]
Simplify:
[tex]K+1+2=0[/tex]
Solve for K. Hence:
[tex]K=-3[/tex]
If Wade has 2 times as many dimes as quarters and they have a combined value of 270 cents, how many of each coin does he have?
Answer:
Step-by-step explanation:
If he has twice the number of dimes as quarters, then obviously he has more dimes than quarters. The expression that represents that is
d = 2q
That relates the NUMBER of coins; now we need one that relates the VALUE which is a dollars and cents thing. We know that the combined value of the coins is $2.70. The expression that represents this is
.1d + .25q = 2.70 because dimes are worth .10 and quarters are worth .25
Subbing the first equation into the second gives us
.1(2q) + .25q = 2.70 and
.2q + .25q = 2.70 and
.45q = 2.70 so
q = 6
This means he has 6 quarters. If the umber of dimes is twice as much, then d = 2(6) and d = 12.
He has 6 quarters and 12 dimes
Expansion (2x-3y+4z)^2
Answer:
Step-by-step explanation:
(a+b+c)²=a²+b²+c²+2ab+2bc+2ca
(2x-3y+4z)²=(2x)²+(-3y)²+(4z)²+2(2x)(-3y)+2(-3y)(4z)+2(4z)(2x)
=4x²+9y²+16z²-12xy-24yz+16zx
We know that,
→ (a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca
Now Putting 2x = a, -3y = b and 4z = c , we get
→ (2x - 3y + 4z)²
→ (2x)² + (- 3y)² + (4z)² + 2 × 2x × (- 3y) + 2 × (- 3y) × 4z + 2 × 4z × 2x
→ 4x² + 9y² + 16z² - 12xy - 24yz + 16zx
Arranging according to the like terms, we get
→ 4x² - 12xy + 16zx + 9y² - 24yz + 16z²
▬▬▬▬▬▬▬▬▬▬▬▬In ΔOPQ, the measure of ∠Q=90°, OQ = 39, QP = 80, and PO = 89. What ratio represents the cosine of ∠P?
Answer:
The cosine of angle P = opposite / adjacent = 39 / 80
Step-by-step explanation:
PLS HELP ASAP!
which of the follwing expressions is equvialent to:
*image below*
Answer:
A
Step-by-step explanation:
simplify equation A
then you will get same as the expression above
(05.05 HC)The four points (−2, 5), (−2, −1), (5, −1), and (3, 5) are the vertices of a polygon. What is the area, in square units, of this polygon? 27 units2 33 units2 36 units2 51 units2
Answer:
Area = 36 squ. unit
Step-by-step explanation:
According to the Question,
Given That, The four points (−2, 5), (−2, −1), (5, −1), and (3, 5) are the vertices of a polygon. (Please find diagram in attachment)by using these points a quadrilateral is formed with two opposite sides 7 and 5 and with height 6 (Refer in the diagram).
Therefore, the area of this polygon isArea = 1/2 * (sum of opposite side) * height
Area = 1/2 * (7+5) * 6
Area = 3*12
Area = 36 squ. unit
Answer:
36
Step-by-step explanation:
Which formulas can be used to find the surface area of a right prism where p is the perimeter of the base, h is the height of the prism, BA is the area of bases, and LA is the lateral area? Check all that apply.
A. SA = BA - LA
B. SA = p + LA
C. SA = BA + LA
D. SA = BA + ph
E. SA = 1 / BA + LA
Answer:
SA=BA+LA and SA=BA+ph
Step-by-step explanation:
I just looked it up
The correct formulas to find the surface area of a right prism are:
SA = BA + LA and SA = BA + ph.
Options (A), and (D) are the correct answer.
What is a prism?A prism is a three-dimensional object.
There are triangular prism and rectangular prism.
We have,
The correct formulas to find the surface area of a right prism are:
1)
SA = BA + LA, where SA is the total surface area, BA is the area of the two identical bases, and LA is the lateral area (the sum of the areas of all the rectangular sides).
2)
SA = BA + ph, where SA is the total surface area, B is the area of one base, p is the perimeter of the base, h is the height of the prism, and ph is the area of all the rectangular sides (the lateral area).
Therefore,
The correct formulas to find the surface area of a right prism are:
SA = BA + LA and SA = BA + ph.
Learn more about prism here:
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