Answer:
X = -8 and X = 2
Step-by-step explanation:
X^2 + 6X - 6 = 10
Bring the 10 over:
X^2 + 6x - 16 = 0
From here, either use the quadratic formula or
manual factorization by finding its roots:
Manually:
(X + 8)(X - 2) = 0
Equate each factor to 0 you will get:
X + 8 = 0 and X - 2 = 0
Solutions are -8 and 2 respectively.
The penguin exhibit at a zoo has a raised circular island that is surrounded by water. The diameter of the island is 20 \text{ meters}20 meters20, start text, space, m, e, t, e, r, s, end text. One penguin swims half way around the island before hopping out.
How far did the penguin swim?
Give your answer in terms of pi.
Answer:
31.42 m
Step-by-step explanation:
Since, the path is circular :
The distance traveled can be I tin by taking the Circumference of the path :
Circumference, C = πd
d = diameter = 20 meters
C = π * 20
Since penguin swam. Only halfway around the island.
Hence, distance traveled = 1/2 * C
= 1/2 * 20π
= 31.42 m
A cleaning company's monthly earnings depend on the
number of houses cleaned, h. Spotless Homes charges
$150 each month to clean one house.
The owners of Spotless Homes plan to raise their fees
starting next month. They will charge $175 each month to
clean each house. The owners write this new equation to
represent the new earnings, e, for cleaning h houses:
e = 150 + 25h
Is their equation correct? Why or Why not? Explain your
reasoning
Answer:
The equation is not correct because the statement indicates that they charged $150 to clean one house which means that the equation showed that the earnings were the result of multiplying the price to clean one house for the number of houses cleaned, which is:
e=150h
As the statement indicates that they plan to raise their fees and they will charge $175 to clean each house, this means that the price changes from 150 to 175 and you have to replace this in the formula and because of this the new equation would be:
e=175h
The equation the owners wrote is not right because it shows that the earnings are equal to a fixed charge of $150 plus a price of $25 for the number of houses and the statement says that the price is $175 for each house so the number of houses cleaned should be multiplied for that price.
-14 is less than or equal to x.
Question options:
-14 > x
-14 ≥ x
-14 ≤ x
-14 < x
Answer:
C
Step-by-step explanation:
This sign "≤" has both the less sign and the equal sign so it indicates that -14 is less than or equal to x.
How many cubic centimeters will it take to fill the prism below?
960
1920
ООО
48
240
Answer:
there is no picture here! sorry wish I could help more
The Spanish club collected $13.45 from each of its nine members. How
much did the Spanish club collect?
Answer:
$121.05
Step-by-step explanation:
Answer:
$121.05
Step-by-step explanation:
Since we are told that there is 9 members and each once is 13.45 we can simply do 13.45 times 9 to get the number 121.05.
find the value of the expression below for x = 10
x'2 - 2(x+5)
A:10
B:70
C:85
D:90
Pls help no links pls pls pls
Answer:
x=20
it told me the answer is too short but that answer is right
What is the distance between -2 1/2, 4 1/2 and 4 3/4, 4 1/2
A. 2 1/4 units
B. 4 1/2 units
C. 7 1/4 units
D. 9 1/4 units
Please help this is due tomorrow :(
9514 1404 393
Answer:
C. 7 1/4 units
Step-by-step explanation:
It can be useful to plot the points on a graph.
The two points are on the same horizontal line, so the distance between them is the difference of their x-coordinates.
4 3/4 -(-2 2/4) = (6 +2) +(3/4 +2/4) = 6 5/4 = 7 1/4 . . . . units
__
Some folks find it easier to do the arithmetic by converting to decimal numbers.
4.75 -(-2.50) = 4.75 +2.50 = 7.25 = 7 1/4 . . . . units
The question is in this link (please fast):
Answer:
a) 190
b)-189
Step-by-step explanation:
4a)
-2y+7(4+8y)=
-2y+(7·4)+(7·8y)=
-2y+28+(7·8y)=
-2y+28+(7·24)
-2y+28+168=
-6+28+168=
22+168 solve
4b)
-5w-4(6t+5)
-5w-4(36+5)
-5w-(4·41)
-5w-164
-25-164 solve
How many square feet of outdoor carpet will
we need for this hole?
Answer:
This is your answer ☺️☺️☺️
Does the relation in the table represent direct variation, inverse variation, or neither? If it is director
inverse variation, write an equation to represent the relation. Explain your answer.
9514 1404 393
Answer:
inverse
y = 10/x
Step-by-step explanation:
Inverse variation is described by an equation of the form ...
y = k/x
The value of k is a constant equal to ...
k = xy = 5·2 = 10·1 = 15·2/3 = 20·1/2 = 10
__
Here, the products of the x- and y-values are all 10, so the inverse variation equation is ...
y = 10/x
Hello, here with geometry questions!
Please only answer if you know the answer, the comment section is right below. Please don't waste my points!
Also, please show all of your work, you are trying to help me better understand the concept, not just give me the answer.
The image is down below. Show work! Thanks!
Answer:
5/12
Step-by-step explanation:
tanZ = XY/YZ = 15/36 = 5/12
What acceleration will result when a 12 N force is applied to a 6 kg object?
If you know please include the equation, it would really help me out, thanks so much!
Hi there!
[tex]\large\boxed{2 m/s^{2}}[/tex]
Use the equation F = m · a where:
F = Force (N)
m = mass (kg)
a = acceleration (m/s²)
Plug in the given values:
12 = 6a
Divide both sides by 6:
12/6 = a
a = 2 m/s²
Question 4
1
Justin regularly eats in the Cafeteria at work. On Monday
Justin bought 2 hamburgers and 1 carton of milk for $2.85.
On Tuesday Justin purchased 3 hamburgers and 2 cartons of
milk for $4.45. How much does a carton of milk cost?
a. $0.35
b. $0.50
c. $0.75
d. $0.85
Paul owns a gym and needs to replace the carpeting on the floor. The gym's floor plan is shown.
8 yd
3 yd
4 yd
المة
How many square yards of carpeting is needed to cover the entire gym?
O 18 square yards
O 24 square yards
O 36 square yards
44 square yards
Answer:
24 square yards
Step-by-step explanation:
Find the diagram attached.
The area of the diagram = Area of rectangle + Area of triangle
Area of rectangle = 3 * 4
Area of rectangle = 12 square yards
Area of triangle = 1/2 * base * height
Area of triangle = 1/2 * 6 * 4
Area of triangle = 12 square yards
Area of the diagram = 12 + 12
Area of diagram = 24 square yards
Hence 24 square yards of carpeting is needed
HELP I HAVE A TEST TOMORROW!!! Two of the angles in a triangle measure 19° and 83°. What is the measure of the third angle?
Answer:
78
Step-by-step explanation:
19 + 83+ x = 180
102 + x = 180 - 102
x= 78
Answer!asap if you are a bot don't even respond
Answer:
Step-by-step explanation:
Upon factoring all terms we are left with the product of
[(x-4)(x+6)(x-6)]/[5(x-6)(3x+5)(x-4)]
The (x-4)s and (x-6)s cancel out and we are left with
(x+6)/(5(3x+5)) which is also equal to
(x+6)/(15x+25)
HElP ME 5th grade math
Answer:
(4.80 x 0.05) + 4.80
Step-by-step explanation:
A bag contains eight batteries, all of which are the same size and are equally likely to be selected. Each battery is a different brand. If you select two batteries at random, use the counting principle to determine how many points will be in the sample space if the batteries are selected without replacement.
Answer:
7*6*5*4*3 = 7P5 = 2520
Step-by-step explanation:
There will be 56 points in the sample space when two batteries are selected without replacement from the bag.
To determine the number of points in the sample space when selecting two batteries without replacement, we can use the counting principle.
The counting principle states that if there are m ways to do one task and n ways to do another task, then there are m * n ways to do both tasks together.
In this case, the first battery can be selected in 8 ways (since there are 8 batteries in the bag).
After selecting the first battery, there are 7 remaining batteries in the bag. For the second battery, there are 7 ways to select it (one less than the previous selection).
Therefore, the number of points in the sample space is given by multiplying the number of possibilities for the first selection (8) by the number of possibilities for the second selection (7):
8 * 7 = 56
There will be 56 points in the sample space when two batteries are selected without replacement from the bag.
To know more about "replacement." here
https://brainly.com/question/13572039
#SPJ2
PLease help good afternoon
Answer: 75
Step-by-step explanation:
[tex]\frac{a}{15}=\frac{5}{1}[/tex]
a*1= 15*5
a= 75
Which answer best describes the shape of this distribution? skewed left skewed right uniform bell-shaped
Answer:
Skewed right
Step-by-step explanation:
Most of the data is to the right, so it's not skewed left.
Uniform is mostly even, so not that either.
Bell shape is centered and vaguely triangular, so incorrect, hence the only remaining option is skewed right.
Hope this helps :)
Stay Cold,
Brook
Brian buys 5 cookies and 1 bottle of water. The total cost is $8.75. If the bottle of water costs $1.25, which equation can be used to determine the cost of 1 cookie?
solve (x+5)/3 = 4 for x
please help asap
Answer:
x=7, because 7 plus 5 is 12 and 12 divided by 3 is 4
Step-by-step explanation:
7+5=12/3=4
Which graph represents the solution set for the inequality: y > x-1
Answer:
F
Step-by-step explanation:
Find the volume for the regular pyramid
A) 6 cu. units B)12 cu. units C)4 cu. units
Answer:
i found the volume it next to the power button on my keyboard
Step-by-step explanation:
What is the minimum value of h(x)?
h(x) = (x - 5)^2 + 6
Answer:
see in pdf the solution is there.
Step-by-step explanation:
Help me i need to pass this class?
Answer:
3: 58 (72-14=58)
4. 182 (91x2=182. two negatives equal a positive so thats why it has to be 182 and not -182)
5. 6 (3x6=18)
7. -2 (-6x-2=12 12-3 =9)
8.-3 (4x-3= -12 -2 = -14)
11. 3 (2x3=6 +5=11) 6(11)=66
For the following studies in which tests comparing two means are conducted, select whether the populations are independent or matched pairs:
a. A study is conducted to see what effect a new drug has on dexterity. A random sample of 30 people is chosen. They are given a series of tasks to perform and a score reflecting their performance. A dose of the drug is administered to the 30 people, and they are then given a similar series of tasks to perform and scored again.
b. A study is conducted to determine the difference between the average amount that people spend on durables and non-durables when they go shopping. A sample of people is chosen and their shopping purchases are observed.
c. A study is conducted to determine if there is a difference between the average length of time spent in traffic on the way to work and the average length of time spent in traffic going home from work for people in a city. A random sample of workers is chosen and asked how long they spend getting to work. Another separate random sample of workers is chosen and asked how long they spend getting home from work.
Answer:
a. Independent
b. Matched
c. Independent
Step-by-step explanation:
If the sample is chosen randomly and there is no biasness in the selection of sample from the population then the selected sample is independent. The matched pairs are when the selection process involves a relation with the sample selected with the desired test results.
We can conclude that:
a. the population is independent.
b. the population is matched.
c. the population is independent.
What are Independent and Matched Populations?If a researcher selects a sample from an entire population under study in a random and unbiased manner, the sample population is aid to be independent.
If the selection process in drawing the sample involves a relation with what is expected from the test results, then they are is matched pairs.
Thus, we can conclude that:
a. the population is independent.
b. the population is matched.
c. the population is independent.
Learn more about independent and matched populations on:
https://brainly.com/question/17143411
HELP!!! DUE IN 8 MINS!!
Answer:
Step-by-step B. is your answer
explanation:
There are 9,481 eligible voters in a precinct. 500 were selected at random and asked to indicate whether they planned to vote for the Democratic incumbent or the Republican challenger. Of the 500 surveyed, 350 said they were going to vote for the Democratic incumbent. Using an 80% confidence level, what are the confidence limits for the proportion that plan to vote for the Democratic incumbent
Answer:
The confidence limits for the proportion that plan to vote for the Democratic incumbent are 0.725 and 0.775.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
Of the 500 surveyed, 350 said they were going to vote for the Democratic incumbent.
This means that [tex]n = 500, \pi = \frac{350}{500} = 0.75[/tex]
80% confidence level
So [tex]\alpha = 0.2[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.2}{2} = 0.9[/tex], so [tex]Z = 1.28[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.75 - 1.28\sqrt{\frac{0.75*0.25}{500}} = 0.725[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.75 + 1.28\sqrt{\frac{0.75*0.25}{500}} = 0.775[/tex]
The confidence limits for the proportion that plan to vote for the Democratic incumbent are 0.725 and 0.775.