Answer:
The answer is (x + 10)² + (y – 7)² = (4)².
Step-by-step explanation:
Given;The centre of the circle = (-10, 7)Radius of the circle = 4To Find;Standard equation of the circle.Formula;(x – a)² + (y – b)² = r²It is the general equation with centre (a, b) and radius r.Here, a = (-10), b = 7 and r = 4.
So,
(x – a)² + (y – b)² = r²
[x – (-10)]² + (y – 7)² = (4)²
(x + 10)² + (y – 7)² = (4)²
Thus, The standard equation of the circle with the centre of (-10, 7) and a radius of 4 is
(x + 10)² + (y – 7)² = (4)².
Divide:
43
Remainder
)982
im using long division
if you 43÷982 you'd get 0.0438 you could also express 43/982 as a mixed fraction
982 divided by 43 equals 22 with a reminder of 36.
brainliest me this is all i can do for youPLEASE HELP ME!!!
Identify the factors of x^2-4x-13
(x+4)(x-3)
(x-4)(x+3)
(x-2)(x+6)
(x+2)(x-6)
Answer:
The expression is not factorable with rational numbers.
Except if you made a typo in your equation and it's x^2-4x-12
calculation:
-6x2=12
-6+2=-4
Then the answer will be (x+2)(x-6)
PLEASE HELP URGENT 30 POINTS
What transformation maps a circle with radius r onto a congruent circle with radius s and the same center?
Answer:
C
Step-by-step explanation:
Because xyx-x=483=s739
x,y=rx,ry
A right-angled triangle has an area of
45 cm².
The width of the triangle is n + 3 cm.
The height is 9 cm less than the width.
45 cm²
n + 3
Find the value of n.
n =
Answer:
A = 1/2 width × height
width = n + 3 cm
height = width - 9 cm
height = n + 3cm - 9cm
height = n - 6cm
A = 1/2 width × height
= 1/2 (n + 3cm) × (n - 6cm)
45cm^2 ×2 = n^2 - 3ncm - 18cm^2
n^2 - 3ncm - 18cm^2 - 90cm^2 = 0
n^2 - 3ncm - 108cm^2 = 0
Find two numbers that their sum is -3 and their product is 108. Therefore, the numbers could be -12 and 9
n^2 - 3ncm - 108cm^2 = 0
n^2 - 12ncm + 9ncm - 108cm^2 = 0
n(n - 12cm) + 9cm(n - 12cm) = 0
(n - 12cm) (n + 9cm) = 0
Either (n - 12cm) = 0 or (n + 9cm) = 0
n = 12cm or n = -9cm
but n = -9cm is invalid because there is no negative distance.
n = 12cm is the answer
what’s the area and perimeter for this problem?
Answer:
0.71 m²
Step-by-step explanation:
Area of triangle:base = b = 0.75 m
altitude= h = 1.9 m
[tex]\boxed{\text{\bf Area of triangle = $\dfrac{1}{2}b*h$}}[/tex]
[tex]\sf = \dfrac{1}{2}*0.75*1.9\\\\ =0.7125\\\\ = 0.71 \ m^2[/tex]
how to solve 4.56x1,000
Answer:
4560
Step-by-step explanation:
There are 3 zeros in 1000. If you are multiplying, move the decimal place over however many places to the right that there are zeros. For example,
4.56 x 1000
45.6 x 100
456 x 10
4560 x 1
We moved the decimal place to the right one every time we removed a zero.
This method is extremely useful for multiplying by 1, 10, 100, etc.
Hope this helps!
(This method is an easy yet complicated way to multiply by)
The equilateral triangle shown is rotated about line a. each side of the triangle measures 20 mm. an equilateral triangle is shown. line of rotation a goes through one point and the midpoint of the opposite side. what shape is created by the rotation and what is the approximate circumference of the base? circumference of a circle: c = 2πr a cylinder with a circumference of about 63 mm a cylinder with a circumference of about 126 mm a cone with a base circumference of about 63 mm a cone with a base circumference of about 126 mm
The circumference of the circle based on the equilateral triangle is 63mm.
How to calculate the circumference?The side of the triangle is 20mm. The radius will be:
= 20/2 = 10
The circumference of the circle will be:
= 2πr
= 2 × 3.14 × 10
= 63
In conclusion, the circumference is 63mm.
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Answer:
a cone with a circumference of about 63 mm
Step-by-step explanation:
By imagining the triangle rotating around the line in the middle, we can see that the triangle will create a cone, not a cylinder.
If one side of the triangle measures 20 mm, then the radius at the base of our cone will be 10 mm. (20 mm is the diameter and the radius is half of that.)
Use 2πr to solve for the circumference and it comes out to 63.
Thus, the rotated triangle will created a cone with a base circumference of about 63 mm.
What is the volume in cubic feet of a refrigerator whose interior is 4. 5 feet tall, 2. 5 feet wide, and 2 feet deep?
25. cuft
Answer:
22.5 feet
Step-by-step explanation:
volume of a retangular shape: l*w*h
4.5*2.5*2=22.5
help me thank you please help
Answer:
I think 2 but sorry if I'm wrong
Step-by-step explanation:
l = 12 cm
b = 6 cm
Find area.
[tex]\rule{300}{1}\\\dashrightarrow\large\textsf{\textbf{\underline{Given question:-}}}[/tex]
l=12 cm; b=6 cm. What is the area?
[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]
[tex]\sf{Formula\:for\:Area:-}[/tex]
[tex]\sf{A=LB}[/tex]According to the above formula, we should multiply L times B, or in this case, 12 times 6:-[tex]\sf{A=12\times6}[/tex][tex]\sf{A=72cm^2}[/tex] (area is always measured in units squared)Good luck with your studies.[tex]\rule{300}{1}[/tex]
Factor the algebraic expression.
32a+28
Answer:
The answer is: 4(8a+7) I think...
Have a nice day
Which graph represents the system of equations?
y = -2x + 1
y =-2x^2+1
Answer:
(0,1) (1,-1)
Second graph on top row is your answer.
Step-by-step explanation:
Bobby has a party while his parents are away for the weekend. Bobby estimated that if his 9 friends hep him to clean the house, they will finish in time if they start 8 hours before his parents return. But after only two hours of cleaning, Bobby's parents call and say they are just two hours from home. How many more friends does Bobby need to call to help finish cleaning in time.
The number of more friends that Bobby need to call to help finish cleaning in time is 20 friends.
Number of additional friends neededLet x represent number of more friends
Number of hours=8×(9+1)
Number of hours=8×10
Number of hours=80 hours
Hence:
10×2+2(10+x)=80
20+20+2x=80
Collect like terms
2x=80-40
2x=40
Divide both side by 2x
x=40/2
x=20 friends
Therefore the number of more friends that Bobby need to call to help finish cleaning in time is 20 friends.
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Check whether the ordered pair, (4,10) is a solution of the given equation: y=4x-2
Answer:
No, it is not
Step-by-step explanation:
If you substitute 4 for x, the answer is 14. 14 does not equal 10. Therefore, it is not a solution.
The scatter plot shows the association between the population of various states in the United States and the number of cellular phone users in those states.
The association between the population and the number of cellular phone users is
and
. If you were to add the following data to the scatter plot, the association would be
.
Population Cellular Phones
State A 23 million 16 million
State B 12 million 10 million
The association as shown by the scatter plot is strong and negative,
What is a scatterplot?A scatter plot is a system of presenting data on the two axes of a cartesian plane.
In this case, we can see that the number of cellphone users decreases as population decreases hence the association is strong and negative.
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Answer:
Strong, positive, the same
Step-by-step explanation:
The association between the population and the number of cellular phone users is strong and positive. If you were to add the following data to the scatter plot, the association would be the same.
Marcus is doing a science experiment in which he measures the rate at which bacteria multiply. Every 15 seconds, the bacteria double in number. If there are 10 bacteria now, how many will there be in 2 minutes?
Since there are 10 bacteria, the amount of bacteria after 2 minutes is 2560 bacteria
To answer the question, we need to know what rate is
What is rate?A rate is the amount per unit time of a quantity.
Let A₀ = initial amount of bacteria.
Given that the amount of bacteria doubles every 15 seconds, we have that the amount of bacteria left is
A = 2ⁿA₀ where
n = number of 15 seconds that have passed = t/15 where t = time passed.Given that
A₀ = 10 and t = 2 min = 2 × 60 s = 120 s. So, n = t/15 = 120/15 = 8Amount of bacteria after 2 minutesSo, substituting the values of the variables into the equation, we have
A = 2ⁿA₀
A = 2⁸ × 10
A = 256 × 10
A = 2560 bacteria
So, the amount of bacteria after 2 minutes is 2560 bacteria
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What is the answer to16-5/2?
Answer:
the answer to this question is 5½
Please help me with this math problem!! Will give brainliest!! :)
Answer:
Step-by-step explanation:
20 POINTS!!! HELP QUICK
Find the volume of this compound figure.
Hint: Half a sphere and a cylinder
Use 3.14 for pi!
The volume of the given shape will be equal to V=2827.42 cubic inches.
What is volume?The volume is defined as the space occupied by the object in the three-dimensional plane. It requires three coordinates to find the volume of any object.
Here it is given in the question that:-
Radius of the semicircle=12 inches
Height of the cylinder =13 inches.
Now the volume will be calculated as:-
Total volume of the figure will be the sum of the Volume of the semicircle and the Volume of the cylinder.
= 2πr³+πr²l
= 2xπx(6)³+πx(6)²x13
=1357.16+1470.26
=2827.42 Cubic inches
Hence the volume of the given shape will be equal to V=2827.42 cubic inches.
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There are 1,217 students and 75 teachers eating lunch in a cafeteria. Of those people, 562 are drinking chocolate milk. The rest are drinking skim milk. How many people are drinking skim milk?
Answer: When Rebecca Hodges sent her son to Pre-K in Brooklyn, she was excited for the year to come—full of learning adventures and making new friends. While his education got off to a strong start, Hodges quickly realized something was wrong.
Her son, just five years old, was gaining an alarming amount of weight. Within 6 months, he had gained 11 pounds and his body mass index went from the 60th to the 98th percentile. He began having trouble breathing and sleeping at night. “His diet at home, which was low in sugar, did not change,” she said. “When I brought him to the pediatrician and we started asking him questions about what he was drinking and eating, we realized this was happening because of school.”
Hodges discovered her son was drinking two boxes of chocolate milk a day, each with 20 grams of total sugar, 12 grams of natural sugar from lactose and 8 grams of added sugar. Those 8 grams of added sugar add up to almost one third of a child’s daily sugar allowance according to the American Heart Association and the World Health Organization, which both recommend that children limit sugar to 5 percent of their daily intake —about 6 teaspoons or 25 grams — of added sugar per day.
Hodges’s son is far from a unicorn in the classroom. He is just one of thousands of children growing sick from sugar in a country where the obesity epidemic has reached epic rates and shows no signs of slowing down. Health-care costs related to obesity in this country topped $1.72 trillion dollars in 2018.
In the state of New York, childhood obesity has tripled over the past three decades. In New York City, 40 percent of NYC public school students aged 6 to 12 are overweight or obese. While NYC’s overweight and obesity numbers have been relatively constant over the last 5 years, in communities with underserved populations obesity is on the rise.
Childhood obesity disproportionately affects low-income communities and communities of color. In New York City, children living in the Bronx have the highest prevalence of overweight (43 percent vs. 4 percent in Brooklyn, 40 percent in Staten Island, 39 percent in Queens, 38 percent in Manhattan).
According to the Youth Risk Behavior Survey by the CDC, compared to New York City students, a higher proportion of East and Central Harlem students are overweight and obese. Thirty-five percent of East and Central Harlem students in grades 9-12 are overweight and obese compared to 28 percent in NYC. Obesity rates in low income East Harlem are higher than what they are on the wealthier Upper East Side, just a few short blocks away.
Additionally, according to research reported in Obesity Reviews, obese children and adolescents were approximately “five times more likely to be obese in adulthood than those who were not obese.”
Research also suggests that consuming sweetened beverages such as chocolate milk every day can train a child’s palate to prefer sugar-sweetened foods.
In response, more and more school districts have been removing chocolate milk from their menus. Chocolate milk is banned in Boulder, Minneapolis, Washington D.C., Montgomery County, Maryland, and most recently, San Francisco.
Even New York City’s Department of Corrections (DOC) has phased out sugar-sweetened beverages because of their ties to costly obesity-related diseases. Ten years ago DOC Commissioner Martin Horn told Gothamist, “the move will save money in the long run because healthier inmates will be less prone to strokes, heart attacks or diabetic shock on the city’s watch.” Today, the DOC bans both chocolate milk and juice. And yet, NYC’s Department of Education (DOE) continues to serve chocolate milk (and juice) to 1.1 million children a day. In fact, out of the 1,866 schools within the DOE, only 198 schools opted out of serving chocolate milk in FY 2019.
Rumors have been circulating that DOE may remove chocolate milk from public schools, but it’s deputy press secretary Avery Cohen, would not confirm. She offered this statement: “Our priority is the health and well-being of our students, and every day, we offer a variety of healthy food options that exceed USDA standards. We’ll continue to work with the Department of Education and Department of Health to ensure our meals are nutritious.”
Instead of eliminating chocolate milk as a public health policy, the DOE has outsourced chocolate milk decisions to principals, who may choose to stop serving it in their individual schools. This shifts a huge burden to educators, who want to keep peace with parents of differing views, and who are presumably not health professionals.
Identify all solutions for the graph (Check as many that apply)
Answer:
the darkest shaded one.
Step-by-step explanation:
because the two areas for possible answers both intersect at that area, therefore, that is the answer.
What is the simplest form of x^2+5X-36/x^2-16
X+9/X+4
9/4
X+9/X-4
-9/4
X+9/X+4
Step-by-step explanation:
(x ^ 2 + 5x - 36)/(x ^ 2 - 16)
=(X+4)(X+9)/(X+4)(X-4)
=(X+9)/(X+4)
Find the surface area of the pyramid.
Answer:
the surface area would be 353 in for the pyramid
Step-by-step explanation:
The radius is 10 units, and each layer is one unit high. What is the volume of the cylinder in cubed units?
Answer:
Volume of cylinder is 6285.71 square units.
Step-by-step explanation:
Given the radius of cylinder 10 units. The height is twice its radius. we have to find its volume.
r=10 units
⇒ Diameter, d = 20 units
Also given height is twice its radius.
⇒ Height=2(r)=2(10)=20 units
Volume of cylinder=πr^2h= 22/7 × 100×20
=22/7 × 2000
= 44000/7
= 6285.71square units.
hence, volume of cylinder is 6285.71 square units.
Answer:
use a volume calculator
Step-by-step explanation:
Calculate: 5(3*7^15-19*7^14)/7^16+3*7^15
Step-by-step explanation:
=7¹⁵x 15-7¹⁴x 95/7¹⁶+7¹⁵x3
=1425×7²⁹/7¹⁶+7¹⁵×3
please help me........asap
Answer:
yes every person has an equal chance of being selected
Step-by-step explanation:
The graph below relates y, the distance Kelly walked, to x, the amount of time that Kelly walked?
Please help it’s due TOMARROW
Answer:
for every minute she walked 200 steps so 200= 1
Given ABCD is a trapezoid ad=10 bc=8 ck is altititude of abc=30
find area if abcd
The area of the given trapezoid ABCD in the image shown is calculated as: 54 units²
What is the Area of a Trapezoid?Area of a trapezoid = 1/2(a + b)h.
Given the following:
Area of triangle ACD = 1/2(AD)(CK) = 30 units²
1/2(10)(CK) = 30 units²
5(CK) = 30
CK = 6 units (altitude of trapezoid ABCD)
Area of the trapezoid = 1/2(a + b)h = 1/2(10 + 8)6
Area of the trapezoid = 54 units²
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James and Michael are the partners in a local business. They needed $480,000 to start the
business. They invested in the ratio 1:2, respectively. How much did James invest?
$140,000
$150,000
$160,000
$170,000
Answer:
James invested $160,000
Step-by-step explanation:
- In total, they needed $480,000 to start the business
- 1:2 ratio means one of them payed double the amount than the other
so the expression would be,
2x + x = 480,000
Let x represent how much they each need to invest
the expression can be simplified to,
3x = 480,000
now you need to get x alone, this would be done be dividing both sides by 3
[tex]\frac{3x}{3} = \frac{480,000}{3}\\x = 160,000[/tex]
James invest $160,000
Michael invest $160,000 x 2 = $320,000
and if you add them together, you get the total amount
$320,000 + $160,000 = $480,000
Let me know if you have any questions !
A rectangle's width is 2 meters shorter than its length, /. Its area is 168 square meters. Which equation can be used
to find the length of the rectangle?
Answer:
x(x-2)=168
x=14
Step-by-step explanation:
Let the length of the rectangle be x.
width=(x-2)
x(x-2)=168
x^2-2x=168
x=14, x=-12 (rejected)