Answer:
7.
Step-by-step explanation:
The equation of a circle is
(x - h)² + (y - k)² = r²
Where
(h, k) is the center and r is the radius, so we only need to work with r.
The expression states that
r² = 49 or the radius squared is equal to 49. So solve for r to find the radius.
r² = 49
Take the square root.
r = 7
The radius of the equation is 7.
Find the missing angle measurement.
Answer:
54°
Step-by-step explanation:
54°
Answer:
the missing angle is 54
Step-by-step explanation:
so first we need two triangle angles to get our measurement and we know straight lines add up to 180 so
180-123=57
57+69(other angle)=126
all triangle angles add up to 180 so subtract the two other angles to get your result
180-126=54
54 is your anwser
True or False: The first number in an integer subtraction problem tells you where to start on the board.
Answer:
i think false
Step-by-step explanation:
Lena buys candy that costs $6 per pound. She will buy less than 8 pounds of candy. What are the possible amounts she will spend on candy?
Use c for the amount (in dollars) Lena will spend on candy.
Write your answer as an inequality, solved for c.
What is the inequality for this?!
HELP!
Answer:
$42
Step-by-step explanation:
less than 8 is supposed to be 7 or less 6×7=$42
calculate the interest paid when 4920 is invested at 13% p.a simple interest for eight years
Answer:
I'll setup the problem and you can do the calculations
Step-by-step explanation:
The formula for simple interest:
I = P*r*t
I = interest
P = principle or amount invested
r = interest rate per period (period is a year)
t = number of periods
P = 4920
r = .13
t = 8
if you have questions, send a comment
Here we have been provided with the principal , rate of interest and time period for which the sum of rupees is invested.
Principal (P) = Rs.4920Rate (r) = 13% Time (T) = 8 yearsNow here we know that simple Interest is calculated by the formula,
[tex]\bf{\boxed{\bf{S.I.\: = \: \dfrac{P \times R \times T}{100}}}} \: \red\bigstar[/tex]Here in this formula,
P is PrincipalR is rate of interestT is timePutting there values in the formula,
[tex]\longrightarrow \: \sf{S.I. \: = \: \dfrac{4920 \times 13 \times 8}{100} }[/tex]
[tex]\longrightarrow \: \sf{S.I. \: = \: \dfrac{492 \times 13 \times 8}{10} }[/tex]
[tex]\longrightarrow \: \sf{S.I. \: = \: \dfrac{492 \times 13 \times \cancel{8}}{ \cancel{10}} }[/tex]
[tex]\longrightarrow \: \sf{S.I. \: = \: \dfrac{492 \times 13 \times 4}{ 5} }[/tex]
[tex]\longrightarrow \: \sf{S.I. \: = \: \dfrac{492 \times 52}{ 5} }[/tex]
[tex]\longrightarrow \: \sf{S.I. \: = \: \dfrac{25584}{ 5} }[/tex]
[tex] \longrightarrow \: \sf{S.I. \: = \: \cancel\dfrac{25584}{ 5} }[/tex]
[tex] \longrightarrow \: \orange{\boxed{\bf{S.I. \: = \: 5116.8}}}[/tex]
[tex]\underline{\bf{Henceforth, \: interest \: paid \: is \: of \: Rs.5116.8}}[/tex]
The initial number of bacteria cells in a culture is 1000, and this number increases by 6% every hour. Approximately how many bacteria would be in the culture after 4 hours?
Answer:
1,264
Step-by-step explanation:
a = 1000(1.06)^4
a = 1,262.47696
1,264
anybody know the answer to this question? I’m kinda lost
Answer:
A. For every 1 inch of mercury the pressure increases, the boiling point is expected to increase by 1.9°F
Step-by-step explanation:
A regression model is in the form :
y = mx + c
With m being the slope = rate of change
In regression, the value of the slope gives the rate of change in y value per unit increase in the value of x
The slope in the question above is 1.9, this means for every unit increase in mercury pressure, then boiling point, y increases by 1.9°F
A new car depreciates each year by 2.8%. When the car is 8 years old, it has a value of $42,547.24. Find the car’s original value.
Given :
A new car depreciates each year by 2.8%. When the car is 8 years old, it has a value of $42,547.24.
To Find :
The car’s original value.
Solution :
Formula of car depreciation is :
[tex]A= P( 1- \dfrac{R}{100})^n\\\\42547.24 = P( 1 - \dfrac{2.8}{100})^8\\\\42547.24 = P\times 0.8\\\\P = \dfrac{42547.24}{0.8}\\\\P = \$53184.05[/tex]
Hence, this is the required solution.
Please help me!! I will give you brainliest!
Answer:
volume = 7/8 cubic units
Step-by-step explanation:
[tex]volume = base \ area \times height = \frac{1}{2} \times \frac {7}{4} = \frac{7}{8} units^3[/tex]
Handrail should be mounted 34 inches minimum and 38 inches maximum above ramps. Which inequality represents the required height?
Answer:
[tex]34 \leq x \leq 38[/tex]
Step-by-step explanation:
34 inches minimum
This means that x has to be at least 34, that is:
[tex]x \geq 34[/tex]
38 inches maximum
This means that x can be at most 38, that is:
[tex]x \leq 38[/tex]
Which inequality represents the required height?
The intersection of 34 minimum and 38 maximum is:
[tex]34 \leq x \leq 38[/tex]
12 43 a а- 5 6 b + 8 7 Line a is parallel to line b, m 2 = 4x+44, and m 46 = 6x +36 . Find the value of x.
Answer:
m=−57/92,x=−43/4
Step-by-step explanation:
Select the two expressions equivalent to 25 .
Answer: 2 primes 1 disinct
Step-by-step explanation:
The coordinates for three vertices of a rectangle are (0٫4)٫(8٫4) and (8٫1). What is the coordinates of the fourth vertex ? A : (1٫0) B : (8٫0) ٫ C : (0٫1) D : (0٫8)
Answer:
(0, 1): Answer D
Step-by-step explanation:
The three given vertices are (0٫ 4)٫(8٫ 4) and (8٫ 1). Note that the x-coordinates of two of these are both 8. The remaining x-coordinate of the fourth vertex is 0. Since the figure is a rectangle, there are two sets of parallel sides. If one side is x = 8, the opposite vertical side must be x = 0, since the remaining coordinate is 0. This side is a vertical line segment. The fourth and last vertex is at the intersection of x = 0 and y = 1; (0, 1): Answer D.
prove that: [tex]tan20+4sin20=\sqrt{3}[/tex]
tan( 20 ) + 4 Sin( 20 ) =
( Sin( 20 ) / Cos( 20 ) ) + 4 Sin( 20 ) =
Sin( 20 ) + 4 Sin( 20 ).Cos( 20 ) / Cos( 20 ) =
Sin( 20 ) + 2 × 2 Sin(20).Cos(20)/ Cos(20) =
Sin( 20 ) + 2 × Sin( 40 ) / Cos( 20 ) =
Sin( 20 ) + 2Sin( 40 ) / Cos( 20 ) =
Sin( 20 ) + 2Cos( 50 ) / Cos ( 20 ) =
Sin( 20 ) + 2Cos( 20 + 30 ) / Cos( 20 ) =
________________________________
2 × Cos( 30 + 20 ) =
2 × [ Cos(30).Cos(20) - Sin(30).Sin(20) ] =
2 × [ √3/2 × Cos(20) - 1/2 × Sin(20) ] =
√3 Cos(20) - Sin(20)
_________________________________
Sin( 20 ) + 2Cos ( 20 + 30 ) / Cos( 20 ) =
Sin( 20 ) + √3 Cos(20) - Sin(20) / Cos(20) =
Sin(20) - Sin(20) + √3 Cos(20) / Cos(20) =
0 + √3 Cos(20) / Cos(20) =
√3 Cos(20) / Cos(20) =
Cos(20) simplifies from the numerator and denominator of fraction
√3 × 1 / 1 =
√3
And we're done ....
I will make you brainlist
Answer:
for what? do you need a question answered?
A total of 800 copies of a CD were sold. 60% were sold at 50% discount, 20% were sold at 30% discount and the remainder were sold at the full price of N8.95. What was the approximate total revenue in Naira?
Answer:
4582.4
Step-by-step explanation:
I need awnser asap im giving brainlist in this one
8/1 x 8
Answer:
64
hope this helps
have a good day :)
Step-by-step explanation:
Use the table, which shows the number of pounds of skim milk, y , consumed per
person in the United States in year x. Let x represent the number of years since
1980.
a. Use the model y = 2x + 23 to estimate the number of pounds
consumed in 1994. Is this linear interpolation or linear
extrapolation?
b. Use the model y = 2x + 23 to estimate the number of pounds consumed in
1999. Is this linear interpolation or linear extrapolation?
x y
1980 26.9
1985 27.4
1990 42.8
1992 46.2
1995 53.9
1996 55.7
Answer:
Step-by-step explanation:
the formula doesn't work for the answers shown,
y = 2x +23 for 1980 should be 23 not 26.9
something is missing in your question
Let f(x)=-4(2)^x. The graph of g(x)=f(x)+k is shown below. Identify the value of k.
Given:
The function is:
[tex]f(x)=-4(2)^x[/tex]
The graph of the function [tex]g(x)=f(x)+k[/tex] is given.
To find:
The value of k.
Solution:
We have,
[tex]f(x)=-4(2)^x[/tex]
[tex]g(x)=f(x)+k[/tex]
Using these two functions, we get
[tex]g(x)=-4(2)^x+k[/tex]
From the given graph it is clear that the graph of g(x) passes through the point (0,2). It means the point (0,2) satisfies the function g(x).
Substituting [tex]g(x)=2[/tex] and [tex]x=0[/tex] in the above function, we get
[tex]2=-4(2)^0+k[/tex]
[tex]2=-4(1)+k[/tex]
[tex]2=-4+k[/tex]
[tex]2+4=k[/tex]
[tex]6=k[/tex]
Therefore, the value of k is 6.
2. The more
there is in a waterproofing foundation coating, the better the performance.
O A. rubber
O B. foam
O C. asphalt
O D. fiberglass
a number is one more than twice another number. if the sum of the two numbers is -35, what are the two numbers
Answer:
(2x+1) +x = -35
3x= -36
x= -12
Step-by-step explanation:
show me an example of fibonacci sequence
Answer:
See Below
Step-by-step explanation:
The fibonacci sequence is a recursive type sequence where each term is the sum of the two previous terms. The sequence starts out as:
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811...
The fibonacci sequence can be found in nature quite often. For example, it is found in "the fruit sprouts of a pineapple, the flowering of an artichoke, an uncurling fern and the arrangement of a pine cone's bract". It can also be found in the number of tree branches in each row.
Another cool place it can be found is in the diagonals of pascals triangle (shown in the image attached)
*Disclaimer: I do not own any of the images
Which graph shows how the Student distance from home changed over time
Answer:
there is no graph maybe post again
The function f(x) = a^x + 4 will never cross the x-axis if a is positive. True or False?
Answer:
True
Step-by-step explanation:
If a is negative then the shape of the graph is an upside down U, which intersects the x-axis. If a is positive it will never cross the X axis.
It is true that f(x)=[tex]a^{x}[/tex]+4 will never cross the x axis if a is positive.
What is function?Function is relationship between two or more that are variables expressed in equal to form. In a function each value of x must have a corresponding value of y.
How to find x intercept?We have been given that f(x)=[tex]a^{x} +4[/tex] and we have to find whether it will cross x axis or not.
when a line crosses the x axis the value of y becomes negative. We have to first check at y=0.
[tex]a^{x}+4[/tex]=0
[tex]a^{x}[/tex]=-4
taking log both sides,
log [tex]a^{x}[/tex]=log(-4)
x log a=0.602059991+1.3437635i
x=(0.602059991+1.3437635i)/log a
when we put the value of x in f(x) the value of f(x) cannot be negative so it cannot crosses the x axis.
Hence it is true that f(x)=[tex]a^{x}[/tex]+4 will never cross the x axis if a is positive.
Leaarn more about function at https://brainly.com/question/10439235
#SPJ2
Jack rolls a fair number cube and spins the spinner. What is the probability that jack will get a number less than 4 and lands on blue?
Answer:
7.14%
Step-by-step explanation:
A fair number cube has 6 sides while a normal spinner has 7 different colors. In order to find the probability of Jack getting a number less than 4 and lands on blue, we need to find the probability of each individual event and multiply them together. Since the cube has six sides and 3 options that are less than 4 then the probability of getting less than 4 is 3/6. On the wheel there are 7 colors and only one is blue, therefore, the probability is 1/7. Now we multiply these fractions together.
[tex]\frac{3 * 1}{6 * 7} = \frac{3}{42}[/tex] or 0.0714 or 7.14%
Therefore, the probability of this event happening is 7.14%
The probability of this event is 7.14%.
What is the number of sides in a fair number cube?A fair number cube has 6 sides.
While a normal spinner has 7 different colors.
In order to find the probability of Jack getting a number less than 4 and lands on blue,
we have to find the probability of each individual event and then multiply them together.
The cube has six sides and 3 options that are less than 4 then the probability of getting less than 4 is 3/6.
On the wheel there are 7 colors and only one is blue.
Therefore, the probabilitiy is 1/7.
Now we multiply these fractions together.
[tex]\frac{3\times 1}{6\times 7} =\frac{3}{42}= 0.0714[/tex]
[tex]\frac{ 0.0714 }{100}=7.14\%[/tex]
Therefore, the probability of this event is 7.14%.
To learn more about the probability visit:
https://brainly.com/question/24756209
PLS HELP EMERGENCY!!!
Answer:
[tex]P(t) = 29816591(1.025)^{t-5}[/tex]
Step-by-step explanation:
Equation:
The equation for the population of California, in t years after 1990, is given by:
[tex]P(t) = 29816591(1.025)^t[/tex]
In which 29816591 is the initial population, that is, the population in 1990.
From 1995:
First, we have to find the population in 1995(5 years after 1990), which is P(5), which we will consider as the initial value in the equation.
So
[tex]P(5) = 29816591(1.025)^5 = 33734736[/tex]
So
Since t is still given in years after 1990, we have to subtract t by 1995 - 1990 = 5 in the exponent. So
[tex]P(t) = 29816591(1.025)^{t-5}[/tex]
How long did real cowboys live? One answer may be found in the book The Last Cowboys by Connie Brooks (University of New Mexico Press). This delightful book presents a thoughtful sociological study of cowboys in West Texas and Southeastern New Mexico around the year 1890. A sample of 32 cowboys gave the following years of longevity:
Answer:
[tex]\begin{array}{cc}{Stem} & {Leaves} & {4} & {7} & {5} & {2, 7, 8, 8} & {6} & {1, 6, 6, 8, 8} & {7} & {0, 2, 2, 3, 3, 5, 6, 7} & {8} & {4, 4, 4, 5, 6, 6, 7, 9} & {9} & {0, 1, 1, 2, 3, 7} \ \end{array}[/tex]
Step-by-step explanation:
Given
See comment for complete part of the question
Required
Make a stem and leaf plot
We have:
[tex]58, 52, 68, 86, 72, 66, 97, 89, 84, 91[/tex]
[tex]91, 92, 66, 68, 87, 86, 73, 61, 70, 75, 72, 73[/tex]
[tex]85, 84, 90, 57, 77, 76, 84, 93, 58, 47[/tex]
Categorize the dataset according to tens
[tex]47[/tex]
[tex]52, 57, 58, 58[/tex]
[tex]61, 66, 66, 68, 68[/tex]
[tex]70, 72, 72, 73, 73, 75, 76, 77[/tex]
[tex]84, 84, 84, 85, 86, 86, 87, 89[/tex]
[tex]90, 91, 91, 92, 93, 97[/tex]
So, the stem and leaf plot is:
[tex]\begin{array}{cc}{Stem} & {Leaves} & {4} & {7} & {5} & {2, 7, 8, 8} & {6} & {1, 6, 6, 8, 8} & {7} & {0, 2, 2, 3, 3, 5, 6, 7} & {8} & {4, 4, 4, 5, 6, 6, 7, 9} & {9} & {0, 1, 1, 2, 3, 7} \ \end{array}[/tex]
A model of a building is made using a scale of 1 inch = 20 feet. What is the height of the actual building, in feet, if the height of the model is 10.5 inches?
Answer:
210.
Step-by-step explanation:
10.5 x 20 = 210
i hope that helps!!!
The miles driven in a car going 65
Answer:
We need more info
Step-by-step explanation:
Answer:
What?
Step-by-step explanation:
You have to add more context to your question.
Solve the system of linear equations by elimination. Show your work
2x-y=-3
4x + 3y = -21
Answer:
x = -3, y = -3
Step-by-step explanation:
Solve the following system:
{-y + 2 x = -3 | (equation 1)
3 y + 4 x = -21 | (equation 2)
Swap equation 1 with equation 2:
{4 x + 3 y = -21 | (equation 1)
2 x - y = -3 | (equation 2)
Subtract 1/2 × (equation 1) from equation 2:
{4 x + 3 y = -21 | (equation 1)
0 x - (5 y)/2 = 15/2 | (equation 2)
Multiply equation 2 by 2/5:
{4 x + 3 y = -21 | (equation 1)
0 x - y = 3 | (equation 2)
Multiply equation 2 by -1:
{4 x + 3 y = -21 | (equation 1)
0 x+y = -3 | (equation 2)
Subtract 3 × (equation 2) from equation 1:
{4 x+0 y = -12 | (equation 1)
0 x+y = -3 | (equation 2)
Divide equation 1 by 4:
{x+0 y = -3 | (equation 1)
0 x+y = -3 | (equation 2)
Collect results:
Answer: x = -3, y = -3
mathsssssssss
helppppp
plzzz
Answer:
i dont know your answer but plz can u help me in my maths question plz