Answer:
8
Step-by-step explanation:
total: 28 water attractions
pools: p
game areas: p + 2
water slides: 50% of 28 = 14
14 + p + p + 2 = 28
2p = 12
p = 6
game areas:
p + 2 = 6 + 2 = 8
I already found the vertex, but can someone help me find the latus rectum of this parabola?
Answer:
Step-by-step explanation:
y=x²+7
vertex(0,7)
the length of latus rectum in a parabola equal to four times the focal length :
y=x²+7
focus X=-b/2a=0
focus Y=c- (b²-1)/4a=7+1/4=29/4
focus (0 , 29/4)
latus rectum is 29/4
(x-h)^2 = 4p (y-k) 4p is the length of the latus rectum with vertex(0,7)
(0-0)²=4p(29/4-7)
0=29p-28p=1p
the length of the latus rectum is 1
Answer:
1
Step-by-step explanation:
The short answer is that the length of the latus rectum is the reciprocal of the magnitude of the leading coefficient.
In y = x^2 +7, the leading coefficient is 1.
latus rectum = 1/|1| = 1
help me you im in danger right now
Answer:
B
Step-by-step explanation:
The student's mistake was between Step 1 and Step 2.
Here, on the left side, they added 6x and 2x. The result should be 8x, not 4x.
It should be 8x-15=3x-75, not 4x-15=3x-75.
How many centigrams are in 6.2 dekagrams?
Answer:
6200
Step-by-step explanation:
1 Dekagram = 1000 Centigram
6.2 x 1000 =
6200
Answer:
6200 centigrams
Step-by-step explanation:
deka means 10
centi means 100th
Sakura solved a fraction division problem using the rule "multiply by the reciprocal." Look at her work. 7 ÷ 2/ 5 1/ 7 × 2/ 5 = 2/35 Did she solve the problem correctly?
Answer:
D. No. She multiplied with the reciprocal of the dividend instead of the reciprocal of the divisor.
Step-by-step explanation:
A. Yes. She solved the problem correctly.
B. No. She multiplied the dividend by the divisor instead of finding the reciprocal.
C. No. She multiplied the denominators instead of finding a common denominator.
D. No. She multiplied with the reciprocal of the dividend instead of the reciprocal of the divisor.
Her workings
7 ÷ 2/ 5
=1/ 7 × 2/ 5
= 2/35
Dividend=7
Divisor=2/5
The correct working
7 ÷ 2/ 5
=7 × 5/2
=35/2
Answer:
D
Step-by-step explanation:
I got an 100% on the quiz I took with this question :)
Hope I could help good luck on passing!!
Please answer this question now
Answer:
54 degrees
Step-by-step explanation:
Measure of arc DCB is 125*2 = 250.
So, measure of arc BAD is 360-250 = 110.
So, measure of arc AD is 110 - 56 = 54 degrees
Find the smallest value of $x$ such that $x^2 + 10x + 25 = 8$. [tex]Find the smallest value of $x$ such that $x^2 + 10x + 25 = 8$.[/tex]
Answer:
[tex]x =-5\ - \sqrt{8}[/tex]
Step-by-step explanation:
Given
[tex]x^2 + 10x + 25 = 8[/tex]
Required
Find the smallest value of x
[tex]x^2 + 10x + 25 = 8[/tex]
Expand the expression on the right hand side
[tex]x^2 + 5x + 5x + 25 = 8[/tex]
Factorize
[tex]x(x+5)+5(x+5) = 8[/tex]
[tex](x+5)(x+5) = 8[/tex]
[tex](x+5)^2 = 8[/tex]
Take Square root of both sides
[tex]\sqrt{(x+5)^2} = \±\sqrt{8}[/tex]
[tex](x+5) = \±\sqrt{8}[/tex]
Remove bracket
[tex]x+5 = \±\sqrt{8}[/tex]
Subtract 5 from both sides
[tex]x+5-5 =-5\± \sqrt{8}[/tex]
[tex]x =-5\± \sqrt{8}[/tex]
[tex]x =-5\ + \sqrt{8}[/tex] or [tex]x =-5\ - \sqrt{8}[/tex]
Comparing both values of x;
The smallest value of x is
[tex]x =-5\ - \sqrt{8}[/tex]
Simplify
(3x + 14) + (19x - 35)
Answer:
22x -21
Step-by-step explanation:
(3x + 14) + (19x - 35)
Combine like terms
3x+19x + 14-35
22x -21
PLEASE help me with this question! No nonsense answers please. This is really urgent.
Answer:
32
Step-by-step explanation:
This is because you would want the feet and the radium kinda meeting up in a way and would need to make sure you can fill it in with th e drive way as it will be on a horizontal base so you would need X2 of the driveway to make it into a standing up horizontal base
Hope this helps
If this seems incorrect please comment with the answer that it should be and I shall change my answer thanks you :)
Someone pls help me . I also need to show work just in case my teacher ask me to send her a photo of my notebook .
Answer: (i) 3
(ii) 10
(iii) 1080
Step-by-step explanation:
(i) Coefficient is the number written before any variable.
Coefficient of x in [tex]3x+10=36[/tex] is 3.
(ii) Constant is a numerical term written without any variable.
Constant in [tex]2x+10=5x[/tex] is 10.
(iii) Let x be the number of miles Katie's family drive.
Since they charge $30 combined with $0.25 per mile drive.
So, Total charge = 0.25 x +30 ( in dollars)
If they charged $300, then
[tex]0.25 x +30 =300[/tex]
Subtract 30 from both sides, we get
[tex]0.25x=270[/tex]
Divide both sides by 0.25, we get
[tex]x=1080[/tex]
Hence, Katie drove 1080 miles.
Find f(g(−1)). f(g(−1)) =
Answer:-6
Step-by-step explanation:it j told me the answer haha
Answer:
64
Step-by-step explanation:
AB = 15, BC = 10, and CD= 7. Find the length DA.
451. Equilateral triangles BCP and CDQ are attached to the outside of regular pentagon
ABCDE. Is quadrilateral BPQD a parallelogram? Justify your answer.
Answer:
451. No, the angles are wrong.
Step-by-step explanation:
450. AB = 15, BC = 10, and CD= 7. Find the length DA.
This cannot be done without additional information about the sort of figure that ABCD is. If these are points on a line segment, we need to know their order. If these are points on a quadrilateral, we need to know its description in more detail.
If these are points ordered ABCD on a line, then AD = 15+10+7 = 32.
__
451. See the attached figure. BPQD is not a parallelogram: BCQ is not a straight line. (The internal angles of a pentagon are 108°, but would need to be 120° for BCQ to be a straight line, making BP parallel to DQ.) Instead, BPQD is an isosceles trapezoid.
Olivia has 4 2/3 yards of fabric to make scarves. She needs 3/4 yards for one scarf. How many
scarves can she make?
Answer:
6 scarves
Step-by-step explanation:
So we know that 3/4 yd. = 1 (scarf)
We have 4 2/3 material to make the scarves
=> convert to an improper fraction 4 2/3 = 14/3
=> Divide material by needed amt.
=> 14/3 / 3/4 = 14/3 x 4/3=> 14/3 x 4/3 = 56/9
56/9 = 6 2/9
But 6 2/9 is not our answer. Since we need a full amt. of scraves, we round down to our final answer of 6 scarves.
Hope this helps!
The volume of air in a balloon is represented by the function v(n) = ne?, where r is the radius of the balloon, in
inches. The radius increases with time, in seconds, by the function -1) = 4,2. Which statements are true? Check all
that apply
When V is composed with r, the composite function is
mt
48
When V is composed with r, the composite function is
is u216.
V(r(6)) shows that the volume is 9724 in. when the radius increases to 6 inches
V[r(8)) shows that the volume is 16384 7 in.) when the radius increases to 16 inches.
3
The domain of V(t) is all real numbers.
Answer:
When V is composed with r, the composite function is StartFraction 1 Over 48 EndFraction pi t Superscript 6
V(r(6)) shows that the volume is 972π inches cubed when the radius increases to 6 inches.
Step-by-step explanation:
Answer:
1 and 3 on edge
Step-by-step explanation:
can someone explain this please?
Answer:
Hey there!
Our equation can be: 2y+3=4y+2
Hope this helps :)
Answer:
2y+3=4y+2
I hope you got it..
The grades on the last art exam had a mean of 75%. Assume the population of grades on art exams is known to be distributed normally, with a standard deviation of 7%. Using the empirical rule, approximately what percent of students earn a score between 75% and 82%? 68% 16% 32% 34%
Find the z-score for both 75% and 82% then subtract them.
Z-score for 75%:
75 -75 /7 = 0-7 = 0
Using empirical rule, This translates to a percentile if 50%
Z-score for 82%
82-75 /7 = 7/7 = 1
Using empirical rule, this translates to 84.13%
Answer = 84.13-50 = 34.13% round to 34%
Answer:
34%
Step-by-step explanation:
Well 75+7=82 and one hop on the graph is 34%.
Please answer question now
Answer:
67.02
Step-by-step explanation:
7x²-2-3x²
I’m trying to combine like terms
Answer:
4x^2−2
Step-by-step explanation:
Let's simplify step-by-step.
7x^2−2−3x^2
=7x^2+(−2)+(−3x^2)
Combine Like Terms:
=7x^2(+−2)+(−3x^2)
=(7x^2+(−3x^2))+(−2)
=4x^2+−2
Answer:
=4x2−2
Write an expression for two times the difference of eight and d.
Answer:
The answer is
2( 8 - d)Step-by-step explanation:
From the question difference in the statement means subtraction
So the statement
two times the difference of eight and d is written as
2( 8 - d)Hope this helps you
Answer:
the answer is 2( 8 - d) I got the same answer and got it right
Step-by-step explanation:
Please help for 10 points and 5 stars with 1 thanks! :]
probability = favourable outcomes/total outcomes
you need 1 banana, out of 4 and there are total of 6 items so probability will be 4/6
when you take out 1 banana, there are 3 banana left and total of 5 items
so probability of this action will be 3/5
now, next action is taking out another banana.
this is NOT an independent event.
so by we will multiply the probabilities of these events according to rule of products.
so the answer is [tex] \frac{4\cdot3}{6\cdot5}=\frac25[/tex]
or 2×100/5=40%
Find the slope and Y-Intercept of the line. 6X plus 2Y equals -88
Answer:
That’s ez pz
Step-by-step explanation:
Answer:
The slope is -3 and the y intercept is -44
Step-by-step explanation:
6X+ 2Y= -88
The slope intercept form of a line is y= mx+b where m is the slope and b is the y intercept
Solve for y
6X-6x+ 2Y= -88-6x
2y = -6x-88
Divide by 2
y = -3x -44
The slope is -3 and the y intercept is -44
answer of a ²-10a+16-6b-b^2
[tex] \quad a^2-10a+16-6b-b^2[/tex]
$=(a^2-10a)-(b^2+6b) +16$
$=[(a^2-2(5)a+25)-25]-[(b^2+2(3)b+9)-9]+16$
$=(a-5)^2-25-(b+3)^2+9+16$
$=(a-5)^2-(b+3)^2$
Ship Co. produces storage crates that require 1.2 meters of material at $.85 per meter and 01 direct labor hours at $15.00 per hour Overhead is applied at the rate of $9 per direct labor hour What is the total standard cost for one unit of product that would appear on a standard cost card?
Answer:
$3.42
Step-by-step explanation:
Meters of material required = 1.2 meters
Cost per meter of material = $0.85
Direct labor hours = 0.1
Cost of direct labor per hour = $15
Overhead rate = $9 per direct labor hour
Standard cost per unit of product :
(Direct material cost per unit + direct labor cost per unit + overhead cost per unit)
Direct material cost per unit :
Material needed × cost per meter = (1.2 × $0.85) = $1.02
Direct labor cost per unit :
Direct labor hour × cost per hour = ( 0.1 × $15) = $1.5
Overhead cost:
0.1 * $9 = $0.9
Standard cost :
($1.02 + $1.5 + $0.9) = $3.42
ASAP!!!!!!!!! PLEASE help me with this question! This is really urgent! No nonsense answers please.
===============================================
Explanation:
Let's calculate the angle B based off the arcs CDF and GHJ
B = (far arc - near arc)/2
B = (arc CDF - arc GHJ)/2
B = (130 - 40)/2
B = 90/2
B = 45
----------
Now let's change GHJ to 30 degrees, while keeping the other arc the same.
B = (far arc - near arc)/2
B = (arc CDF - arc GHJ)/2
B = (130 - 30)/2
B = 100/2
B = 50
Angle B has increased from 45 degrees to 50 degrees.
What is the volume of this rectangular prism?
3 cm
cm
1
cm
Answer:
.75cm³
Step-by-step explanation:
To find the volume of a shape like this it is,
base×height×width.
In this case it is .5×.5×3=.75cm³
Answer:
3/4 or 0.75
Step-by-step explanation:
Length times width times height:
1/2 * 1/2 * 3
= 3/4
Each lap around a park is 1 1⁄5 miles. Kellyn plans to jog at least 7 1⁄2 miles at the park without doing partial laps. How many laps must Kellyn jog to meet her goal?
Answer:
She must jog 7 laps in order to meet her goal.
Step-by-step explanation:
A more accurate answer would be that she needs to run 6 1/4 laps to meet her goal. However, because the problem states that she will not be running partial laps, then the number of laps she runs must be a whole number, which in this case works out to be 7 laps.
ANSWER QUICKLY PLZZZZZZ ASAP
Answer:
number 4 on edge
Step-by-step explanation:
Answer:
a. 92 minutes b. 7:56am
Step-by-step explanation:
He should leave at 7:56 so he gets to the bus at 8:05,
he gets to Coventry at 9:37 with enough time to walk 12 minutes to get to work before 10am.
in triangle ABC A-B= 15 degree, B-C= 30 degree find A,B,C
Answer:
A=80 , B=65, C=35
Step-by-step explanation:
A-B=15 ⇒A=B+15
B-C=30⇒-C=30-B ⇒C=B-30
the sum of angle of a triangle = 180
A+B+C=180 ( substitute A and C)
B+15+B+B-30=180
3B-15=180
3B=180+15
B=195/3=65
C=B-30 ⇒ C=65-30=35
A=B+15=65+15=80
check : A+B+C=180
80+65+35=180 ( correct)
What are the dimensions of the matrix?
The order of a matrix is m×n where m is the number of rows and n is the number of columns.
can you count and find what are m and n here?
Answer:
Step-by-step explanation:
Number of rows X Number of columns
Rows = 3
Columns = 2
answer = 3x2
The Acme Company lost 650 hours due to accidents on the job in the first quarter of the year. The average hourly wage of the employees who contributed to the lost hours was $15.00. The company benefits add 25% to the wages. Using the cost-of-lost-hours formula (employee hours lost X average loaded labour rate = cost), calculate the direct cost of the lost work hours. Discuss the approach you would use to estimate the hidden costs that would also be associated with the lost hours.
Your answer must be at least 200 words in length.
Answer:
Step-by-step explanation:
Given that ;
The Acme Company lost 650 hours due to accidents on the job in the first quarter of the year
The average hourly wage of the employees who contributed to the lost hours was $15.00 . i.e the direct labor cost = $15.00
The company benefits add 25% to the wages. = 0.25
The loaded labor cost = $15.00/hr × 0.25 = $3.75/hour
If we add the additional cost of benefit, then we have the loaded labor cost to be = $15.00/hour + $3.75/hour
= $18.75 / hour
However, the direct labor costs that the workers continued to receive without working. for the first quarter of the year by using the cost-of-lost-hours formula is :
= 650 hours × $15.00 / hours
= $9750
The hidden costs can be estimated from the Acme company's contributions to the employee. Given that the company benefits add 25% to the wage of the employee, therefore, this wage must be incorporated in order to find out the total wage cost for the lost work hours in the Acme company.
As a result of the company benefits, the fully loaded labor cost is 650 hours × $18.75 /hour which gives $12187.5.
Consequently, it is pertinent to determine the cost for additional benefits that the workers are receiving even though they are not working, this is achieved by the difference in the $9750 direct cost paid to labor and the benefits amount of $12187.5
i.e
the cost for additional benefits that the workers are receiving even though they are not working = $12187.5 - $9750 = $2437.5
Other ways the hidden cost can be estimated is by take note of the amount paid to the employee on the day the employee had an emergency, amount paid to the rescue team involved. etc
Valerie invested $150 at the beginning of each quarter in stock XYZ.
According to the table below, which quarter would have been the optimal
investment period if she had chosen to invest her money as a lump sum?
XYZ
01
02
Q3
Stock Price
$12.75
$12.25
$11.50
$11.75
Q4
O A. Q4
O B. 03
O C. 01
D. Q2
Answer:
Quarter 3
Step-by-step explanation:
The quarter that would have been the optimal investment period is the third quarter.
What is the optimal investment period?
Stocks gives its holders ownership right in a company. Stockholders are paid dividends in some periods.
The optimal investment period is the period when the stock price is the lowest. This is the third quarter.
To learn more about stocks, please check: https://brainly.com/question/27342287
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