42 because 3x3=6 and 6x7=42
Write the equation in standard form for thelcircle with center (-8, -1) and radius 4
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Answer:
(x +8)^2 +(y +1)^2 = 16
Step-by-step explanation:
The standard form equation for a circle with center (h, k) and radius r is ...
(x -h)^2 + (y -k)^2 = r^2
For your center and radius, the equation is ...
(x -(-8))^2 +(y -(-1))^2 = 4^2
(x +8)^2 +(y +1)^2 = 16
Plz help me this very important
The hypotenuse of a right triangle is twice the length of one of its legs. The length of the other leg is three feet. Find the lengths of the three sides of the triangle. Enter an exact answer. Do not type your answers as fractions or decimals.
a^2 + b^2 = c^2
Let c = hypotenuse = 2x
One of the legs = x. Let a or b = x.
I will let a = x. We can then say that b = 3.
3^2 + x^2 = (2x)^2
9 + x^2 = 4x^2
9 = 4x^2 - x^2
9 = 2x^2
9/2 = x^2
sqrt{9/2} = sqrt{x^2}
3/sqrt{2} = x
Rational denominator.
[3•sqrt{2}]/2 = x = a
Side 3 is given to be 3 feet. So, b = 3.
Hypotenuse = 2x
Hypotenuse = 2([3•sqrt{2}]/2)
Hypotenuse = 3•sqrt{2}
Understand?
The three sides are 3, [3•sqrt{2}]/2 and
3•sqrt{2}.
On Monday, 248 students went on a trip to the zoo. All 6 buses were filled and 8 students had to travel in cars. How many students were in each bus?
Answer:
40 students in each bus.
Step-by-step explanation:
Subtract the 8 extra students from the total to get the total number of students who rode in buses. Then divide that total by 6.
248-8=240
240/6=40
40 students in each bus.
A 20 in wagon wheel has 6 spokes. What is the outside distance between the end of the spokes if they are spaced evenly(arc length)?
Answer:
10.47 inches
Step-by-step explanation:
circumference = πD = 3.14(20) = 62.8 inches
62.8 inches/6 spaces = 10.47 inches per space
Jack borrowed $ 4,000.00 and paid $ 585.00
in simple interest after 4 year 6 months. What
was the annual rate of interest?
Answer:
3.25%
Step-by-step explanation:
The formula for simple interest is I = PRT, where I = interest earned/paid, P = principal amount deposited or borrowed, R = rate of interest as a decimal, and T = time in years.
I = PRT
585 = (4000)(r)(4.5)
585 = 18,000r
r = 0.0325
Multiply by 100 to get the percentage
0.0325 = 3.25%
Question 4
The results of the Woodlands Middle School poll show that 20% of
the students prefer the aquarium and 50% of the teachers the
aquarium.
Which of the following statements is true?
There is evidence that teachers at Woodlands Middle may prefer the aquarium
more than students.
There is not enough evidence to support a relationship between destination
preference (aquarium or amusement park) and school role (student or teacher).
Woodlands Middle may prefer the aquarium
There is evidence that students
more than teachers.
Answer:
There is evidence that teacher at Woodlands Middle May prefer the aquarium more than students
Step-by-step explanation:
There is evidence that teachers at Woodlands Middle may prefer the aquarium (Option A) is the true statement from all the available options.
Why do we do sampling?We do sampling so that we don't have to work on entire population of items but only on that sample in a way that we can predict information about population.
Most of the times, it isn't possible in real world to work on entire populations. Samples come out for rescue by assumptions that they will have some properties of the population pertained in them.
Thus, the sample should be taken out such that it includes data of the population as much as it can in unbiased way so as to imitate population.
Poll oftenly uses sampling.
The data obtained from the poll shows that:
20% of the students prefer the aquarium and 50% of the teachers the
aquarium.
That means, from the poll, we found that out of total students, 20% prefer aquarium whereas 50% of total teacher prefer aquarium.
Since we conclude from sampling only as this is the usual way we do conclusion about population, and since percentage shows that less students' proportion prefer aquarium than the proportion of teachers prefering aquarium, thus,
There is evidence that teachers at Woodlands Middle may prefer the aquarium (Option A) is the true statement from all the available options.
Learn more about sampling here:
https://brainly.com/question/24842573
if f(7)=20, write the corresponding ordered pair
Answer:
(7,20)
Step-by-step explanation:
Oftentimes we write [tex]y=f(x)[/tex]. This suggests that [tex]x=7[/tex] and [tex]y=20[/tex]. Therefore, the ordered pair is [tex](x,y)=(7,20)[/tex].
5 in
1 in 3 in
1 in 1 in
3 in
5 in
1 in
3 in
What is the surface area of the solid?
O A. 15 square inches
OB. 40 square inches
O C. 23 square inches
D. 46 square inches
Martin spent $2.60 on his lunch. Sandwiches cost $1.25. Milkshakes cost $0.65. How much MORE does a sandwich cost than a milkshake?
Answer:
0.60 more
Step-by-step explanation:
Sandwich: 1.25
Milkshake: 0.65
We need to find the difference between the 2
1.25 - 0.65 = 0.6
A sandwich costs 60 cents MORE than a milkshake
Please help me with this question.
Answer:
-7
Step-by-step explanation:
hope it helps
Anyone knows the answer???
Answer:
351.9 m²
Step-by-step explanation:
[tex]SA=2\pi r^2+2\pi rh[/tex] where r is the radius of the base and h is the height of the cylinder
We're given the diameter of the base, which is 8 m. Therefore, the radius is 4 m (after dividing by 2).
Plug in 4 as r and 10 as h
[tex]SA=2\pi (4)^2+2\pi (4)(10)\\SA=2\pi (16)+2\pi (40)\\SA=32\pi +80\pi \\SA=112\pi[/tex]
Therefore, the surface area of the cylinder is approximately 351.9 m² after rounding to the nearest tenth.
I hope this helps!
The perimeter of a rectangle is 62.the length is 5 less than 3times the width. Find the width and the length
Answer:
length = 22, width = 9
step by step explanation :
perimeter = 62
length = 3×width -5
∴ 2 ( length + width ) = perimeter
2 ( 3w-5 + w ) = 62
3w -5 + w = 62/2 = 31
3w -5 + w = 31
4w = 31 + 5 = 36
4w = 36
w =36/4
w = 9
l= 3w-5 = (3×9)-5 = 27-5= 22
verifying -
2( l + b) = perimeter
2 ( 22 + 9 ) = 2 * 31 = 62
hope this answer helps you....
D = L ( m/k + v^2/25)
Make v the subject of the formula.
Answer:
Answer and steps in picture.
a + b - b =
what is it plzz help
Answer:
a + b - b = a
Step-by-step explanation:
What is the radius?
What is the diameter?
What it the circumference? Use 3.14 for pi.
What is the area?
Use 3.14 for pi.
Answer:
Step-by-step explanation:
radius = 3mm
diameter = 6mm
circumference = 6 x 3,14 = 18.84 mm
area = 3^2 x 3,14 = 28.26 mm^2
The length of a rectangle is (2x-3) and the width is (x+6) which of the following is a representation of area
Answer:
(2x+3)(x+6) or 2x^2 + 15x + 18
Step-by-step explanation:
Area = Length x Width
Length = (2x-3)
Width = (x+6)
(2x-3)(x+6)
2x^2 + 12x - 3x - 18
2x^2 + 15x + 18
Final Answer: (2x+3)(x+6) or 2x^2 + 15x + 18
The ratio of dogs to cats at the local
shelter is 2 to 5. There are 20 dogs at
the shelter. What is the total number
of cats and dogs at the shelter?
A. 28
B. 50
C.
70
D. 8
Need
Answer:
B 50
Step-by-step explanation:
Option 1) 2/5 = 20/x | 20/2 = 10 so x = 10 | 5 times x 10 =50
Option 2) dogs 2 to cats 5 | 2/5 = 20/x | .40 = 20/x | .40x = 20 | x = 50
Option 3) you can look and see that 20 is 10 times more than 2 and therefore infer that x is 10 times more than 5 which is 50
Due to a manufacturing error, three cans of regular soda were accidentally filled with diet soda in a 12 pack. Suppose that two cans are randomly selected from the 12 pack. Answer A-C.
(a) determine the probability that both sodas contain diet soda p(both diet) = ????
(b) determine the probability that both contain regular soda p(both regular) = ????
(c) determine the probability that exactly one is diet and one is regular p(one regular and one diet) = ????
Answer:
a- 3/4
b- 1/4
c- 3/16
Step-by-step explanation:
3) -5
A) quintic monomial
B) constant trinomial
C) constant monomial
D) quadratic monomial
Answer:
Constant monomial
Step-by-step explanation:
Monomial means that there is only one term, so constant trinomial cannot be correct.
Quintic monomials have a degree of 5 and quadratic monomials have a degree of 4, but this has a degree of zero, so this must be a constant monomial.
I hope this helps you. Have a nice day.
1 Write the series 3 + 6x +9x2 +12x + ... with 45 terms in sigma notation.
Answer:
Step-by-step explanation:
It looks like every time the coefficient increases by 3 while the exponent increases by 1.
[tex]\\45\\\sum 3(n+1)x^{n}\\n = 0[/tex]
Notice it starts at zero so 3 is multiplied by (x+1) to make it start from 0
The exponent is simply n, because at the start is it zero [tex]x^0=1[/tex], then 1, then 2, so on.
The upper limit is 45 because 45 - 0 = 45 terms
please help me i can't figure this out
A 6 meters per second
B 5 meters per second
C 4 meters per second
D 7 meters per second
Answer:
B 5 meters per second
Step-by-step explanation:
Pick two points on the graph, and find the slope.
For example, you can use the points
(0, 8500) and (1700, 0)
slope = (difference in y)/(difference in x)
slope = (0 - 8500)/(1700 - 0) = -8500/1700 = -5
The slope is negative because the plane was losing altitude as it descended.
It descended at a rate of 5 meters per second.
Answer: B 5 meters per second
Answer:
B. 5 meters per second
Step-by-step explanation:
slope=8500÷1700=5
Plane descended at the rate of 5 meters per second.
hope it helps
have a great day!!
In how many ways can 5 people arrange themselves in a row for picture taking ?
Answer:
120 times
Step-by-step explanation:
There are 5 people to fill the first place, 4 remaining to fill the second, 3 remaining to fill the third, 2 remaining to the fourth place and only 1 remaining to fill the fifth. That means there are 5 factorial (5!) ways. 5! = 5 x 4 x 3 x 2 x 1 = 120.
x + 4y = -26 -5x - = -14
Answer:
x=14/5, y=-36/5. (14/5, -36/5).
Step-by-step explanation:
x+4y=-26
-5x=-14
------------
5x=14
x=14/5
14/5+4y=-26
4y=-26-14/5
4y=-130/5-14/5
4y=-144/5
y=(-144/5)/4
y=(-144/5)(1/4)
y=-144/20
simplify
y=-36/5
What is the area of the triangle?
Answer:
11 ½ * 4* 5.52 *5.5=11.....….What is the value of x?
Answer:
707,957
Step-by-step explanation:
x= 518*tan(42°) + 518*tan(25°) =518*(tan(42°)+tan(25°))≈518*1.367=707.957
Answer:
707,957
Step-by-step explanation:
Solve these equations.
Answer:
no solution
Step-by-step explanation:
|x-33| = -33
An absolute value must be greater than or equal to zero
The right hand side is a negative number.
There is no solution
Answer:
No solution
Step-by-step explanation:
When you do the absolute value, it is equal to a negative number. Which does not make sense so no solution
An art teacher recorded whether the students in three of her classes prefer water color or oil painting. The art teacher plans to create a two-way table to analyze her results. Which variables can the art teacher use as the row and column headings of the table? O painting preference and total number of students O painting preference and number of students in class 1 O class number and painting preference O class number and number who prefer oil
Answer:
C. class number and painting preference
Step-by-step explanation:
just got done with the quiz
solve these equations show solutions on a number line.
|x+8|=x+8
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Answer:
x ≥ -8
Step-by-step explanation:
The absolute value does nothing when its argument is non-negative.
x +8 ≥ 0
x ≥ -8 . . . . . . . subtract 8 from both sides
In some 4.0 grading systems, a student's grade point average (GPA) is calculated by assigning letter grades the following numerical values.
A = 4.00 B− = 2.67 D+ = 1.33
A− = 3.67 C+ = 2.33 D = 1.00
B+ = 3.33 C = 2.00 D− = 0.67
B = 3.00 C− = 1.67 F = 0.00
Use this grading system to find this student's GPA. Round to the nearest hundredth.
Jerry's Grades, Fall Semester
Course Course Course
grade units
English A 3
Anthropology A 3
Chemistry B− 4
French C 3
Theatre B 2
Answer:
This student's GPA is 3.04.
Step-by-step explanation:
Student's GPA:
To find the students GPA, we find the sum of the multiplication of each numerical grade(A is 4, A- is 3.67 and so on) and the credit load of the course, divided by the number of courses.
His grades are:
4 in English worth 3 credits.
4 in Antropology worth 3 credits.
2.67 in Chemistry worth 4 credits.
2 in French worth 4 credits.
3 in Theatre worth 2 credits.
GPA:
[tex]\frac{4*3+4*3+2.67*4+2*4+3*2}{3+3+4+4+2} = 3.04[/tex]
This student's GPA is 3.04.
Answer:
3.04
Step-by-step explanation: