Answers
Answer:
37 ft²
Step-by-step explanation:
The figure is composed of a triangle and a square
Therefore, area of the figure = area of the triangle + area of the square
= ½bh + s²
Where,
b = 1.5 + 4 + 1.5 = 7 ft
h = 6 ft
s = 4 ft
Plug in the values into the equation
Area of the figure = ½*7*6 + 4²
= 21 + 16
= 37 ft²
Related Questions
Find the area of the figure.
6 in.
6 in.
8 in.
4 in.
Answers
Answer:
92 inches squared
Step-by-step explanation:
6x6=36
4x(8+6)=56
56+36=92
Match the appropriate transformation with the appropriate rule.
Answers
Answer:
i only know one, which is c and 2
Step-by-step explanation:
I WILL GIVE BRANLIY IF YOU ARE RIGHT
Answers
Answer:
B
Step-by-step explanation:
Answer:
9%
Step-by-step explanation:
Which of the following functions have a domain of ( -infinity, infinity) and a range of
(-2, infinity)?
Check all that apply.
A. f(x) = 0.25^x- 2
B. f(x) = 0.25^x+2
c. f(x) = 3^x – 2
D. f(x) = 3^x +2
Answers
Answer:
It would be answers A and C
Step-by-step explanation:
Notice both end in negative 2, matching your range, so you can't get that correct using either B or D
The functions having domain (-∞,∞) and range (-2,∞) are f(x)=[tex]0.25^{x}-2[/tex] and f(x)=[tex]3^{x}-2[/tex].
What is function?A function is relationship between two or more variables expressed in equal to form .In a function each value of x must have a corresponding y value. The value of x is known as domain of the function and the value of y is known as range of function.
How to find function?We have been given four functions and we have to find the functions having domain (-∞,∞) and range (-2,∞).
Taking f(x)=[tex]0.25^{x}-2[/tex]
f(0)=1-2
=-1
f(1)=0.25-2
=-1.75
f(2)=0.50-2
=-1.50
f(-2)=1/0.50-2
=1-1/0.50
=0
So this function has domain (-∞,∞) and range (-2,∞) because the value of function increases from -2 as the value of x increases.
Taking f(x)=[tex]0.25^{x}+2[/tex]
Because the above function is opposite of the first function so it behaves opposite as the function.
Taking f(x)=[tex]3^{x} -2[/tex]
f(0)=1-2
=-1
f(1)=3-2
=1
f(-2)=1/9-2
=(1-18)/9
=-17/9
=-1.8
This function also has domain (-∞,∞) and range (-2,∞) because the value of increases from -2 as the value of x increases.
Next function is opposite from the third function so it behaves opposite to third function
Hence the functions having domain (-∞,∞) and range (-2,∞) are f(x)=[tex]0.25^{x}-2[/tex] and f(x)=[tex]3^{x}-2[/tex].
Learn more about function at https://brainly.com/question/10439235
#SPJ2
A recent survey reported that small businesses spend 24 hours a week marketing their business. A local chamber of commerce claims that small businesses in their area are not growing because these businesses are spending less than 24 hours a week on marketing. The chamber conducts a survey of 93 small businesses within their state and finds that the average amount of time spent on marketing is 23.0 hours a week. Assuming that the population standard deviation is 5.5 hours, is there sufficient evidence to support the chamber of commerce’s claim at the 0.02 level of significance?
Step 1 of 3 :
State the null and alternative hypotheses for the test. Fill in the blank below.
H0: μ=24
Ha: μ ____ 24
Step 2 of 3:
What is the test statistic?
Step 3 of 3:
Do we reject the null hypothesis? Is there sufficient or insufficient evidence?
Answers
Answer:
Ha: μ < 24
The test statistic is z = -1.75.
The pvalue of the test is 0.0401 > 0.02, which means that we do not reject the null hypothesis, as there is insufficient evidence.
Step-by-step explanation:
A recent survey reported that small businesses spend 24 hours a week marketing their business.
This means that the null hypothesis is:
[tex]H_0: \mu = 24[/tex]
A local chamber of commerce claims that small businesses in their area are not growing because these businesses are spending less than 24 hours a week on marketing.
This means that the alternate hypothesis is:
[tex]H_a: \mu < 24[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
24 is tested at the null hypothesis:
This means that [tex]\mu = 24[/tex]
The chamber conducts a survey of 93 small businesses within their state and finds that the average amount of time spent on marketing is 23.0 hours a week.
This means that [tex]n = 93, X = 23[/tex]
The population standard deviation is 5.5 hours
This means that [tex]\sigma = 5.5[/tex]
Value of the test-statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{23 - 24}{\frac{5.5}{\sqrt{93}}}[/tex]
[tex]z = -1.75[/tex]
The test statistic is z = -1.75.
Do we reject the null hypothesis? Is there sufficient or insufficient evidence?
The pvalue of the test is the probability of finding a sample mean below 23, which is the pvalue of z = -1.75.
Looking at the z table, z = -1.75 has a pvalue of 0.0401
The pvalue of the test is 0.0401 > 0.02, which means that we do not reject the null hypothesis, as there is insufficient evidence.
Which value is included in the solution set for the inequality graphed on the number line?
4
3
2
-1
0 1 2
3
4
-5
O
-2.
ОО
03
Answers
Answer:
-5
Step-by-step explanation:
The number line is saying that the solution could be any number less than -2.
The value included in the solution set for the inequality graph on the number line is -5.
How to find the solution set of inequality graph on a number line?
The number line represents an inequality graph.
Let's use the range of value on the graph as x.
Therefore, the inequality on the number line will read as follows:
x < -2
Hence,
x less than -2 includes -3, -4, -5, -6, -7, -8 ..
Therefore, the value included in the solution set for the inequality graph on the number line is -5.
learn more on inequality graph here: https://brainly.com/question/1400037
PLEASE HELP Find
y, such that ABC ~ DEF.
Answers
Answer:
[tex]y =12[/tex]
Step-by-step explanation:
Given
ABC similar to DEF
Required
Find y
To do this, we make use of the following equivalent ratios.
[tex]AB : AC = DE : DF[/tex]
Using the values in the attachment, we have:
[tex]9 : 18 = 6 : y[/tex]
Express as fraction
[tex]\frac{9 }{ 18 }= \frac{6 }{ y}[/tex]
[tex]\frac{1 }{2 }= \frac{6 }{ y}[/tex]
Solve for y
[tex]y = 6 * 2[/tex]
[tex]y =12[/tex]
Dan bought 20 bunches of seedless green grapes for $48. How many bunches can Kali buy if she has $12?
5
29
4
6
Answers
Answer:
48/20=2.4
12/2.4=5
Step-by-step explanation:
Kai can buy 5 bunches of grapes if she has $12.
Answer:
It's 29.
Step-by-step explanation:
48/20=2.4
12x2.4=28.8
Round up to 29.
Check the pic
please explain
Answers
Answer:
Option C
Step-by-step explanation:
From the picture attached,
In ΔABC,
m∠BAC + y° = 180° [Linear pair of angles are supplementary]
m∠BAC = 180° - y°
m∠ABC = x° [Vertically opposite angles]
m∠ACB = z° [Vertically opposite angles]
By triangle sum theorem,
m∠BAC + m∠ABC + m∠ACB = 180°
(180 - y)° + x° + z° = 180°
x - y + z = 180 - 180
x - y + z = 0
Option C will be the answer.
What is the prime factorization of 48?
O A. 2x3x8
OB. 2x2x3 x4
OC. 2x2x2x3
OD. 2x2x2x2x3
O E. 2x2x2x3 x3
Answers
Answer:
D
Step-by-step explanation:
2 x 2 = 4
4 x 2 = 8
8 x 2 = 16
16 x 3 = 48
Will give brainliest
Answers
Answer: Because the question uses the word “distinct” meaning obvious, and clear, I would select AB, AC, CB. (If it’s asking for all the possible line segments, I would select AB, AC, CB, BA, CA, BC).
Fiona has $998 in her savings account. If the bank pays 2.5% simple interest on savings, how much does she earn in one year?
A.
$24.95
B.
$399.20
C.
$2,495
D.
$294.86
Answers
I just multiple 998 by 0.025 to get 24.95
2.5%=0.025
Question 8
Which property justifies the fact that 5(x - 2) is equivalent to 5x - 10?
commutative
associative
O distributive
Answers
5*x = 5x and 5*-2 = -10
Triangle PQR has vertices P(−3,4), Q(−8,3), and R(−1,−6). Triangle PQR is dilated by a scale factor of 8 centered at the origin to get triangle P′Q′R′.
What are the coordinates of points P′, Q′, and R′ of the image?
P′(−38,−12), Q′(−1,38), R′(−18,−34)
P′(−3,32), Q′(−8,24), R′(−1,−48)
P′(−24,4), Q′(−64,3), R′(−8,−6)
P′(−24,32), Q′(−64,24), R′(−8,−48)
Answers
Answer:
The coordinates of points P', Q' and R' are (-24, 32), (-64, 24) and (-8,-48), respectively.
Step-by-step explanation:
Vectorially speaking, the dilation of a vector with respect to a given point is defined by the following formula:
[tex]P'(x,y) = O(x,y) + r\cdot [P(x,y)-O(x,y)][/tex], [tex]r > 1[/tex] (1)
Where:
[tex]O(x,y)[/tex] - Point of reference.
[tex]P(x,y)[/tex] - Original point.
[tex]P'(x,y)[/tex] - Dilated point.
[tex]r[/tex] - Scale factor.
If we know that [tex]O(x,y) = (0,0)[/tex], [tex]P(x,y) = (-3, 4)[/tex], [tex]Q(x,y) = (-8,3)[/tex], [tex]R(x,y) = (-1,-6)[/tex] and [tex]r = 8[/tex], then the new coordinates of the triangle are, respectively:
[tex]P'(x,y) = (0,0) + 8\cdot [(-3,4)-(0,0)][/tex]
[tex]P'(x,y) = (-24, 32)[/tex]
[tex]Q'(x,y) = (0,0) + 8\cdot [(-8,3)-(0,0)][/tex]
[tex]Q'(x,y) = (-64, 24)[/tex]
[tex]R'(x,y) = (0,0) + 8\cdot [(-1,-6)-(0,0)][/tex]
[tex]R'(x,y) = (-8,-48)[/tex]
The coordinates of points P', Q' and R' are (-24, 32), (-64, 24) and (-8,-48), respectively.
Answer:
(-24, 32), (-64, 24) and (-8,-48)
Step-by-step explanation:
Computer software generated 500 random numbers that should look like they are from the uniform distribution on the interval 0 to 1. They are categorized into five groups:
1. less than or equal to 0.2
2. greater than 0.2 and less than or equal to 0.4
3. greater than 0.4 and less than or equal to 0.6
4. greater than 0.6 and less than or equal to 0.8
5. greater than 0.8.
The counts in the five groups are 113, 95, 108, 99, and 85, respectively. The probabilities for these five intervals are all the same. What is this probability? Compute the expected number for each interval for a sample of 500. Finally, perform the goodness of fit test and summarize your results.
Answers
Answer:
0.2 ; 100 ; 4.84
Step-by-step explanation:
Given that the probability of each of the 5 groups is the same :
Sum of probability = 1
Hence, Probability of each group = 1 / number of groups = 1 / 5 = 0.2
Expected number for each interval for a sample of 500 : ; X = 500
E(X) = X * P(x) = 500 * 0.2 = 100
Goodness of fit (X²) :
X² = Σ(X - E)² ÷ E
Groups :
113, 95, 108, 99, and 85
X : 113 ____ 95 ____ 108 ____ 99 _____ 85
(113 - 100)^2 / 100 = 1.69
(95 - 100)^2 / 100 = 0.25
(108 - 100)^2 / 100 = 0.64
(99 - 100)^2 / 100 = 0.01
(85 - 100)^2 / 100 = 2.25
(1.69 + 0.25 + 0.64 + 0.01 + 2.25) = 4.84
According to a report in USA Today (February 1, 2012), more and more parents are helping their young adult children get homes. Suppose 8 persons in a random sample of 40 young adults who recently purchased a home in Kentucky got help from their parents. You have been asked to construct a 95% confidence interval for the population proportion of all young adults in Kentucky who got help from their parents. You have been asked to construct a 95% confidence interval for the population proportion of all young adults in Kentucky who got help from their parents. What is the margin of error for a 95% confidence interval for the population proportion?
a.1.645(0.0040)
b.1.645(0.0632)
c.1.96(0.0040)
d.1.96(0.0632)
Answers
Answer:
d.1.96(0.0632)
Step-by-step explanation:
The margin of error for a 95% confidence interval for the population proportion calculated as below:
Given that x = 8
n = Size of the sample = 40 (Large sample)
Sample population: P=x/n = 8/40 = 0.2; q = 1-p = 0.8
Standard error = [tex]\sqrt{pq/n}[/tex] = [tex]\sqrt{0.2(0.8)}/40[/tex] = 0.0682
95% of confidence Z∝ = 1.96
Margin of Error = Z∝ .[tex]\sqrt{pq/n}[/tex]
Margin of Error = 1.96(0.0682)
So, therefore, option d is correct.
2 x - 3 / 5 = - 1 / 10
Answers
Answer:
1/4
Step-by-step explanation:
2x=-1/10 + 3/5
2x=1/2
x=1/4
Estimate 719 – 274. Round each number first.
Answers
719 rounded up equals 720
274 rounded down equals 270
720-270= 450
The traffic flow rate (cars per hour) across an intersection is
r
(
t
)
=
300
+
600
t
−
90
t
2
, where
t
is in hours, and
t
=0 is 6am. How many cars pass through the intersection between 6 am and 9 am?
Answers
Answer:
990 cars
Step-by-step explanation:
Find how many cars pass through at 6am, t=0:
r(0)= 300+600(0)-90(0²) = 300
Find how many cars pass through at 9am, t=3:
r(3)= 300+600(3)-900(3²)=300+1800-810=1290
Find the difference (how many cars pass between 6am and 9am): 1290-300=990
Choose the equation where b=6 is a solution. 11- b = 6 b + 4 = 9 8b = 48 63 b = 9
Answers
Answer:
8b = 48
Step-by-step explanation:
this is because you would substitute the b for the 6 and then multiply straight across giving you a total of 48.
Answer:
8b = 48
Step-by-step explanation:
8 x 6 = 48
Sade used the two blocks pictured to build a tower. What is the TOTAL VOLUME of the two blocks for this entire tower? *
Answers
Answer: V=120
have an amazing day <3
Answer:what is the answer i dont understand
plz help
1. Find
the area of each figure to the nearest tenth.
Answers
Area = 85ft²
To find the area of the given square you can use the following equation
[tex]Area = Side^2\\Area = 8^2\\Area = 64[/tex]
To find the missing side of the given triangle, you will have to use Pythagorean's theorem
[tex]Short^2 + Long^2 = Hypotenuse^2\\Short^2 + 8^2 = 10^2\\Short^2 + 64 = 100\\Short^2 = 100 - 64\\Short^2 = 36\\Short= \sqrt{36} \\Short= 6 \\[/tex]
Now that we know what both sides are we can use the following equation to get the area of the triangle
[tex]Area = \frac{Side*Side}{2} \\Area = \frac{6*8}{2} \\Area = \frac{42}{2} \\Area = 21 \\[/tex]
After that, we can add both areas together and get the following
[tex]21+64=85[/tex]
A number cube has faces 1 through 6. How many of the number on the cube are composite?
A. 1
B. 2
C. 3
D. 4
Answers
Answer:
B) 2 numbers
Step-by-step explanation:
composite #'s: 4, 6
prime #'s: 2, 3, 5
neither composite nor prime: 1
20 POINTS!!!!!!!The monthly salary of an employee with 33 hours of training can be written as
Answers
D-Salary(33) or S(33)
D is correct hope this helps
Help me please!
Consider the function f(x) = V2x – 4. Iff-'(x) is the inverse function of f(x), find
f-16)
Answers
Answer:
[tex]f^{-1}(6) = 50[/tex]
Step-by-step explanation:
Given
[tex]f(x) = \sqrt{2x} - 4[/tex]
Required
Find [tex]f^{-1}(6)[/tex]
First, we calculate the inverse function
[tex]f(x) = \sqrt{2x} - 4[/tex]
Express f(x) as y
[tex]y = \sqrt{2x} - 4[/tex]
Swap the positions of x and y
[tex]x = \sqrt{2y} - 4[/tex]
Solve for y: Add 4 to both sides
[tex]4 + x = \sqrt{2y} - 4+4[/tex]
[tex]4 + x = \sqrt{2y}[/tex]
Square both sides
[tex](4 + x)^2 = 2y[/tex]
Divide both sides by 2
[tex]y = \frac{(4 + x)^2}{2}[/tex]
Express y as an inverse function
[tex]f^{-1}(x) = \frac{(4 + x)^2}{2}[/tex]
Next, solve for: [tex]f^{-1}(6)[/tex]
Substitute 6 for x
[tex]f^{-1}(6) = \frac{(4 + 6)^2}{2}[/tex]
[tex]f^{-1}(6) = \frac{(10)^2}{2}[/tex]
[tex]f^{-1}(6) = \frac{100}{2}[/tex]
[tex]f^{-1}(6) = 50[/tex]
-100-95-90-85-...;11th Term
Answers
Answer:
50
Explanation:
The difference is always 5
A. 93
B. 57
C. 132
D. 123
Answers
Answer:
B
Step-by-step explanation:
The interior angles of a triangle always add up to 180 degrees.
We have two angles already and they add up to 60+63=123 degrees
180-123=57
so the remaining angle is 57 degrees
9514 1404 393
Answer:
D. 123°
Step-by-step explanation:
The external angle is equal to the sum of the remote internal angles.
m∠1 = 60° +63°
m∠1 = 123°
Perform the indicated operations and reduce to lowest terms. Assume that no denominator has a value of zero.
Answers
Answer:
[tex]\frac{x}{9}[/tex]
Step-by-step explanation:
Given
[tex]\frac{x^2 - 9}{9x + 27} \div \frac{x - 3}{x}[/tex]
Required
Solve
[tex]\frac{x^2 - 9}{9x + 27} \div \frac{x - 3}{x}[/tex]
Change the division to multiplication
[tex]\frac{x^2 - 9}{9x + 27} * \frac{x}{x - 3}[/tex]
Apply difference of 2 squares
[tex]\frac{(x - 3)(x+3)}{9x + 27} * \frac{x}{x - 3}[/tex]
Cancel out x - 3
[tex]\frac{x+3}{9x + 27} * \frac{x}{1}[/tex]
Factorize 9x + 27
[tex]\frac{x+3}{9(x + 3)} * \frac{x}{1}[/tex]
Cancel out x + 3
[tex]\frac{1}{9} * \frac{x}{1}[/tex]
Finally, this gives:
[tex]\frac{x}{9}[/tex]
Please assist me with this two column proof. Part 1A
Answers
Answer:
Answer is in the step by step explanation
Step-by-step explanation:
Since we are given parallel lines, we know <BCA is congruent to <DAC because of alternate interior angles
Then AC is congruent to AC, that's reflexive prop
Now we have SAS, so Tri. ABC cong to tri. CDA,
Then you're done
Answer:
Step-by-step explanation:
BC = AD Given
<BCA = <CAD Alternate interior angles of parallel lines cut by a transversal.
AC = AC That's the reflexive property. A line is equal to itself
Triangle BCA = Triangle CAD SAS
Notice that the angle is included inside the two lines that define it (the angle). That's a very important consideration when using SAS. SAA doesn't always work. You can draw exceptions. SAS has no exceptions. It always works.
betty closes the nozzle and fills it completely with a liquid. She then opens the nozzle. If the liquid drips at the rate of 14 cubic inches per minute, how long will it take for all the liquid in the nozzle to pass through(Use Pi = 3.14
Answers
Answer:
4.71 minutes
Step-by-step explanation:
Incomplete question [See comment for complete question]
Given
Shape: Cone
[tex]r = 3[/tex] -- radius
[tex]h = 7[/tex] --- height
[tex]Rate = 14in^3/min[/tex]
Required
Time to pass out all liquid
First, calculate the volume of the cone.
This is calculated as:
[tex]V = \frac{1}{3} \pi r^2h[/tex]
This gives:
[tex]V = \frac{1}{3} * 3.14 * 3^2 * 7[/tex]
[tex]V = \frac{1}{3} * 197.82[/tex]
[tex]V = 65.94in^3[/tex]
To calculate the time, we make use of the following rate formula.
[tex]Rate = \frac{Volume}{Time}[/tex]
Make Time the subject
[tex]Time= \frac{Volume}{Rate }[/tex]
This gives:
[tex]Time= \frac{65.94in^3}{14in^3/min}[/tex]
[tex]Time= \frac{65.94in^3}{14in^3}min[/tex]
Cancel out the units
[tex]Time= \frac{65.94}{14} min[/tex]
[tex]Time= 4.71 min\\[/tex]
Answer:
The time it will take for all the liquid to pass through is 4.71 minutes.
-Don't worry it's been already verified by myself .
