Answer:
The equation of a circle having the center (a, b) and radius r could be formulated by:
(x - a)^2 + (y - b)^2 = r^2
A circle, which has equation form: (x + 3) ^ 2 + y ^ 2 = 81, can be turned into:
(x - -3)^2 + (y - 0)^2 = 9^2
=> center (-3, 0)
=> radius = 9
=> Option 1 is correct
=> Option 4 is correct
=> Option 7 is correct
Hope this helps!
:)
what is the surface area of the given figure?
Solve the system of equations:
y = 2x – 2
y = x2 – x – 6
A. (–2, 0) and (3, 0)
B. (–1, –5) and (4, 2)
C. (–1, –4) and (4, 6)
D. (0, –2) and (2, 2)
Answer: C. (-1, -4) and (4, 6)
Step-by-step explanation:
If the two triangles shown are similar (i.e. their
sides are proportional), what is the length of the
side labeled x?
Answer:
12 cm
Step-by-step explanation:
x/36=5/15
x=36/3
x=12 cm
Answer:
x = 12
Step-by-step explanation:
As you can see here, the sides are proportional to each other. You can use ratios in order to find x.
15:5 = 36:x
Write the following as an inequality.
- 2 is less than w, and 6 is greater than or equal to w
Use w only once in your inequality.
Answer:
-2 < w ≤ 6
Step-by-step explanation:
The inequalities you're asked to combine are ...
-2 < w
6 ≥ w
Turn one of these around so the "arrows" point in the same direction. (My preference is that they point to the left.) Now you have ...
-2 < w
w ≤ 6
You combine these by putting w in the middle:
-2 < w ≤ 6
_____
Alternate solution
I like the above solution because it puts the components of the expression in the same (left-right) order as they appear on a number line. However, both inequalities can be turned around to get ...
6 ≥ w > -2
Solve the equation using square roots.
[tex]4x^{2} +9=0[/tex]
Isolating the variable terms and dividing by 4, we have [tex]x^2=-\frac{9}{4}.[/tex] Taking the square root, we have [tex]\boxed{x=\frac{3i}{2},-\frac{3i}{2}}.[/tex]
Which of these expressions can be used to calculate the monthly payment for
a 30-year loan for $190,000 at 11.4% interest, compounded monthly?
??
Answer:
$1,867.07 monthly payment
Step-by-step explanation:
1. Define variables to calculate the monthly payment for loans, using:
A = total loan amount (how much you borrow)
R = annual interest rate (in %)
N = number of payments per year
2. Use this formula to calculate monthly payment (M):
[tex]M = A* \frac{R}{N}[/tex]
3. Substitute variables with values from excercise as below (11.4% = 0.114):
[tex]M = 190000 * \frac{0.114}{12} = 1867.07[/tex]
4. The calculated result is a monthly payment installment in given currency (in this case $)
Find the volume of the pyramid.
Answer:
The answer is 112 ft squared
Step-by-step explanation:
plzzzzzzzzzz simplifiy a^2 ⋅ a^m
Answer:
a^(2+m)
Step-by-step explanation:
We can simply add the exponents together because they have the same base which will give us a^(2 + m).
Answer:
a^[2+m]
Step-by-step explanation:
When multiplying two polynomials with the same base but different exponents, we add the exponents because
a^m*a^n
= a^m+n
So,
a^2*a^m
= a^2+m
Since it can't be solved anymore this is the simplest form
Write the equation of a line that passes through (1,9) and has a slope of -3, please!
Answer:
y = -3x + 12
Step-by-step explanation:
Very similar to the other question i answered, by here's a step by step anyway in case you find it helpful : )
There are lots of different methods to do these types of questions, but this is the way i like to do it.
Coordinate (x1, y1) : (1, 9) and Gradient (m): -3
Start with this generic equation:
y- y1 = m(x-x1)
Substitute in the values they have given you:
y - (9) = -3(x-1)
This becomes:
y -9 = -3x +3
Keep solving by moving the 10 over to the other side:
y = -3x + 3 +9
y = -3x + 12
An easy way to double check:
1) the coefficient of x is the slope. We got -3x, and the slope is -3, so that's correct.
2) Substitute x=1 into the equation, and we get 9, which is the exact coordinate that they gave us. This is also right.
Hope this helped : )
What is the Lowest Common Denominator between 3m/m+n and 3n/m-n
Answer:
Step-by-step explanation:
Denominators (m +n) & (m- n) doesn't have any common factors.
So to find the lowest common denominator, multiply them
LCD = (m+n) (m-n)
PLS HELP RQ!!!!!!!!!!!!!11
Answer:
3 3/4 cubic inches
Step-by-step explanation:
2.5*1.5*1
Answer:
15 cubic inches
Step-by-step explanation:
Many individuals over the age of 40 develop intolerance for milk and milk-based products. A
dairy has developed a line of lactose-free products that are more tolerable to such individuals. To
assess the potential market for these products, the dairy commissioned a market research study of individuals over 40 years old in its sales area. A random sample of 250 individuals showed that 86 of them suffer from milk intolerance. Based on the sample results, calculate a 90% confidence
interval for the population proportion that suffers milk intolerance. Interpret this confidence interval.
a) First, show that it is okay to use the 1-proportion z-interval. (Assumptions)
b) calcuate by hand a 90% confidence interval (use the formula)
c) provide an interpretation (conclusion)
d) if the level of confidence was 95% instead of 90% would the resulting interval be narrower or wider? explain. (show your computation before your explanation)
e) if the researchers were interested in the 90% interval with the 3% margin of error what size sample would they require?
f) verify your 90% confidence interval using your calculator.
Answer:
p = 86/250 = 0.344
z_c = 1.65 at 90% confidence.
margin of error, E = sqrt(pq/n)*z_c
= sqrt(0.344*(1-0.344)/250)*1.65
= 0.0496
90% CI = (p -E , p + E)
= (0.344 - 0.0496 , 0.344 + 0.0496)
= (0.2944, 0.3936) (Ans.)
Step-by-step explanation:
I need help with this.
Answer:
A.
Step-by-step explanation:
for a single element of x there is an element in y, so observing we see that no number is repeated in the ordinate x of the coordinates
The one-year survival rate for pancreatic cancer is 20%. Of 12 people diagnosed with pancreatic cancer at one hospital, 6 survived one year. What is the probability of that happening?
Answer:
50% if your looking at %
A small staircase is made so that the horizontal piece of each step 10 inches long and 25 inches wide. Each step is 5 inches above the previous one. What is the surface area of this staircase?
Answer:
1125 in²
Step-by-step explanatio1D
Assume that the staircase is three steps high, as in the diagram.
Each tread has a surface area of
10 in × 25 in = 250 in²
Each riser has a surface area of
5 in × 25 in = 125 in²
There are three treads and three risers, so the total surface area is
3 × 250 in² + 3 × 125 in² = 750 in² + 375 in² = 1125 in²
The surface area of the small staircase which is made such that the horizontal piece of each step 10 inches long and 25 inches wide is 1125 in².
What is surface area?Surface area of any solid or the 3 dimensional body is the area of each faces by which the solid body is enclosed. Surface area of a cuboid is the sum of total area of each face.
The image of the staircase is shown below. This small staircase is made so that the horizontal piece of each step 10 inches long and 25 inches wide.
Thus, the surface area of the trade of stair case is,
[tex]A_{t}=10\times25\\A_{t}=250\rm\;in^2[/tex]
Each step is 5 inches above the previous one. Thus, the surface area of the riser of stair case is,
[tex]A_{r}=25\times5\\A_{r}=125\rm\;in^2[/tex]
Total surface area of one step is,
[tex]A_{s}=3(A_{t}+A_{r})A_{s}=3(250+125)\\A_{s}=3(375)\\A_{s}=1125\rm\;in^2[/tex]
Hence, the surface area of the small staircase which is made such that the horizontal piece of each step 10 inches long and 25 inches wide is 1125 in².
Learn more about the surface area here:
https://brainly.com/question/20771646
What type of angle is in the picture? (plz answer fast)
Answer:
right angle
Step-by-step explanation:
the square in the corner means it is 90 degrees, making it a right angle
The area of a rectangle is equal to its length times its width. If the area of a rectangle
is 14x + 42 square feet, which option(s) could be the length and width of that rectangle?
Answer:
one option could be : 7x+21 and 2
Explain how to find the other leg if the hypotenuse is 25cm and one leg measures 7 cm.
______________________________
The other leg equals 24 cm
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
___________________________.
what is the base plan for the set of stacked cubes?
Answer:
i think it is the 3 one from the left side
Step-by-step explanation:
For what values of x and y are the triangles to the right congruent by HL?
FACTOR
h² + 9hj + 14j²
Answer:
(h+7j)*(h+2j)
Step-by-step explanation:
h^2+7hj+2hj+14j^2
h*(h+7j)+2j*(h+7j)=(h+7j)*(h+2j)
So the right answer is (h+2)(h+7j)
please see attached picture for full solution
Hope it helps
Good luck on your assignment
Stay safe
How do you answer the questions in the picture?? Please helppp!!
Answer:
a) 1.50 m/s²
b) 675m
c) 11.25 m/s
Step-by-step explanation:
1. a) Acceleration can be found from the gradient of a speed-time graph, which is the graph we have here.
Notice that the graph from t=0 to t=10 has the same gradient thoughout (since it is a straight line). Hence, the acceleration when t=4 is the same as the acceleration from t=0 to t=10.
To find the gradient of the graph from t=0 to t=10, use the gradient formula below:
gradient=[tex] \frac{y1 - y2}{x1 - x2} [/tex]
The coordinates of the point at t=0 is (0,0) and the point at t=10 is (10,15).
Thus, gradient
[tex] = \frac{15 - 0}{10 - 0} \\ = \frac{15}{10} \\ = 1.5[/tex]
Therefore the acceleration when t=4 is 1.50 m/s².
*Acceleration is the rate of change of velocity (or speed).
b) Distance travelled can be found by calculating the area under a speed-time graph.
The area under the graph is the orange trapezium that the question has shaded for you already.
Formula for area of trapezium= ½(a+b)(height)
a+b is the total length of the two parallel horizontal lines of the trapezium.
Let the top line be a and the bottom line be b.
length of a= distance between (10,15) and (40,15)
Length of a
= 40 -10
= 30 units
Length of b
= 60 -0
= 60 units
height of trapezium= 15 units
Area of trapezium
= ½(30 +60)(15)
= 675 units²
Thus, the distance travelled is 675m.
c) Avg speed= total distance ÷ total time
From part b, we know that the total distance travelled is 675m. The total time is 60s since the graph is from t=0 to t=60.
Hence, average speed
= 675 ÷60
= 11.25 m/s
Work must be shown for this problem! The figure shown below is a rectangle. Give the angle value (numerical, not the letters).
Answer:
58 degrees
Step-by-step explanation:
In a rectangle, the two diagonals form four isosceles triangles. This means triangle EBC is isosceles. In an isosceles triangle, the two base angles are the same. So, angles EBC and BCE are both 61. Now, in a triangle, the three angles add up to 180. So, 61+61=122, and to find angle CEB you need to subtract 180-122. 180-122=58 degrees.
Answer:
58°
Step-by-step explanation:
to find m∠CEB
triangle CEB is formed by the two parts of rectangle diagonals (and BC), and as we know, diagonals bisect each other, thus EB is congruent to EC, and it is an isosceles triangle
We also know that angles opposite congruent sides are congruent, thus,
angles EBC and ECB are congruent
thus angle ECB= 61°
We know that the inner angle measures of a triangle according to Angle Sum Theorem add up to 180°
Thus,m angle EBC + m angle ECB + m angle CEB= 180
Now we know that both EBC and ECB are angles with the measure of 61 °, so lets put the measures in instead of angles into the equation
61+61+m angle CEB=180
122 + m angle CEB =180
m angle CEB=180-122
m angle CEB=58°
Which represents where f(x) = g(x)?
f(2) = 9(2) and f(0) = g(0)
f(2) = g(0) and f(0) = g(4)
f(2) = g(0) and f(4) = g(2)
of(2) = g(4) and f(1) = g(1)
Answer:g
2
Step-by-step explanation:the is answer is by the multiply the numbers
What is the excluded value?
0
1/2
1
Answer:
excluded value is 1/2
Step-by-step explanation:
The excluded value is the value when the denominator is equal to zero
1 -2x =0
Subtract 1 from each side
-2x = -1
Divide by -2
-2x/-2 = -1/-2
x = 1/2
The excluded value is 1/2
Can someone please help me with this
Answer:
The second one. -0,55 > -0.8
Step-by-step explanation:
The point in the right is -0.55, the other one (left) is -0.8. -0.55 is greater than -0.8.
Create an inequality that represents the verbal description below.
The product of ten and a number is greater than the difference of four times the number and two.
Answer:
10*x > 4x-2
Step-by-step explanation:
Following the instructions we get the above inequality.
Answer:
10x > 4-2
Step-by-step explanation:
Find two mixed numbers or fractions with a quotient of 3.2
Answer:
[tex]\frac{32}{10}\\\\\frac{64}{20}\\\\\frac{96}{30}[/tex]
These all thave the same quotient of 3.2
Step-by-step explanation:
The fractions which are given and and which are also required are called equivalent fraction. In this, the denominator and numerator of both fractions is different, but when you divide the numerator and denominator to get a value, the values of both the fractions are found same.
To find 2 mixed number or fraction with a quotient 3.2.
We can write 3.2 in the fractional form:
[tex]3.2 = \frac{32}{10}[/tex]
Now multiply both the numerator and denominator with 2, we get
[tex]\frac{2\cdot32}{2\cdot10}= \frac{64}{20}[/tex]
which also has the quotient 3.2
Similarly, multiply both numerator and denominator of 32/10 by 3, we get
[tex]\frac{3\cdot32}{3\cdot10}=\frac{96}{10}[/tex]
whici also has the quotient of 3.2
Similarly we can go on to find as many values as we want with the same quotient.
I’m stuck on this can someone help?
Answer:
13
Step-by-step explanation:
f(10)=10/2+8
f(10)=5+8
f(10)=13
Hey there!
Answer:
f(x) = 13 when x = 10.
Step-by-step explanation:
To find f(x) when x = 10, simply substitute '10' for 'x'.
[tex]f(x) = \frac{x}{2} + 8[/tex]
Subsitute in '10' for 'x':
[tex]f(10) = \frac{10}{2} + 8[/tex]
Simplify:
[tex]f(10) = 5 + 8[/tex]
[tex]f(10) = 13[/tex]
Therefore, f(x) = 13 when x = 10.
A circular garden has a diameter of 6 feet. There are 2 sections of blue flowers and 1 section of white flowers as shown. What is the area of the section with the white flowers?
Answer:
[tex]( Exactly ) 5.25\pi[/tex]
Step-by-step explanation:
[tex]See Attachment Below;[/tex]