Answer:
,, the null hypothesis should be rejected at the alpha equals 0.02 level
please help!! i need 15 & 17!
Answer:
15. Answer: length = 15 ft; width = 3 ft
16. Answer: base = 14 cm; height = 5 cm
17. Answer: x² - 5x - 24 = 0
Step-by-step explanation:
15.
area of rectangle = length * width
length = x - 2
width = x - 14
area = (x - 2) (x - 14)
We are shown the area to be 45 ft².
We set the expression of the area equal to the given area and solve the quadratic equation for x.
(x - 2)(x - 14) = 45
x² - 14x - 2x + 28 - 45 = 0
x² - 16x - 17 = 0
(x - 17)(x + 1) = 0
x - 17 = 0 or x + 1 = 0
x = 17 or x = -1
We discard the negative answer, x = -1, since it would give negative length and width.
x = 17
length = x - 2 = 17 - 2 = 15
width = x - 14 = 17 - 14 = 3
Answer: length = 15 ft; width = 3 ft
16.
area = ½bh
area = ½(x - 5)(x - 14)
area = 35
½(x - 5)(x - 14) = 35
(x - 5)(x - 14) = 70
x² - 14x - 5x + 70 = 70
x² - 19x = 0
x(x - 19) = 0
x = 0 or x - 19 = 0
We discard x = 0 since it would give negative dimensions.
x = 19
base = x - 5 = 19 - 5 = 14
height = x - 14 = 19 - 14 = 5
base = 14
height = 5
Answer: base = 14 cm; height = 5 cm
17.
A polynomial with solutions x = a and x = b can be found by multiplying (x - a) by (x - b). Here, the solutions are x = -3 and x = 8.
[x - (-3)](x - 8) = (x + 3)(x - 8) = x² - 8x + 3x - 24 = x² - 5x - 24
Answer: x² - 5x - 24 = 0
Which graph represents the function y= 1/4× - 3
Answer:
It would look about like this
Step-by-step explanation:
pls answerrrrrrrrrrrrrrqdqdqd
Answer:
30ft 2
Bc we first calculate the area of rectangle which is 6x4 which is 24 then we calculate area of triangle which is 6 then 6 + 24 = 30ft squared
how can I do this ???
Answer:
The triangle EFG can be constructed with the following specifications: [tex]EF = 8\,cm[/tex], [tex]FG = 7\,cm[/tex], [tex]EG = 12\,cm[/tex], [tex]E \approx 34.093^{\circ}[/tex], [tex]F \approx 106.068^{\circ}[/tex], [tex]G \approx 39.838^{\circ}[/tex].
Step-by-step explanation:
A triangle is formed by either knowing the lengths of its three sides or knowing two angles and the length of a side or knowing a angle and the lengths of two sides. By Geometry, we know that sum of internal angles in triangles equals 180°. In order to construct this triangle, we need to know the measures of angles E, F and G by means of the Law of Cosine:
Angle E
[tex]E = \cos^{-1}\left[\frac{(7\,cm)^{2}-(12\,cm)^{2}-(8\,cm)^{2}}{-2\cdot (12\,cm)\cdot (8\,cm)} \right][/tex]
[tex]E \approx 34.093^{\circ}[/tex]
Angle F
[tex]F = \cos^{-1}\left[\frac{(12\,cm)^{2} - (8\,cm)^{2} - (7\,cm)^{2}}{-2\cdot (8\,cm)\cdot (7\,cm)} \right][/tex]
[tex]F \approx 106.068^{\circ}[/tex]
Angle G
[tex]G = \cos^{-1}\left[\frac{(8\,cm)^{2}-(12\,cm)^{2}-(7\,cm)^{2}}{-2\cdot (12\,cm)\cdot (7\,cm)} \right][/tex]
[tex]G \approx 39.838^{\circ}[/tex]
The triangle EFG can be constructed with the following specifications: [tex]EF = 8\,cm[/tex], [tex]FG = 7\,cm[/tex], [tex]EG = 12\,cm[/tex], [tex]E \approx 34.093^{\circ}[/tex], [tex]F \approx 106.068^{\circ}[/tex], [tex]G \approx 39.838^{\circ}[/tex].
Giving brainlist to whoever answers
Answer:
14
Step-by-step explanation:
The trapezoids are similar, so you need to find which sides allign with each other. It can be seen that among the paralel sides of the trapezoid, the longer ones will be similar by the factor of 2. So, 2*7=14
Answer:
14 feet
Step-by-step explanation:
Mr.Suarez wants to paint his storage shed.He needs to calculate the lateral surface area of the shed so that he will know how much paint to buy.The shed is in the shape of a rectangular prism with the dimensions shown below.Including the doors what is the lateral surface area of the storage shed brainly
Answer:
The lateral surface area is 336 square feet
Step-by-step explanation:
Given
See attachment for storage
Required
The lateral surface area
From the attached figure, we have:
[tex]L = 14[/tex] --- Length
[tex]W = 7[/tex] --- Width
[tex]H = 8[/tex] --- Height
The lateral area is calculated as:
[tex]Area = 2 * H * (L + W)[/tex]
So, we have:
[tex]Area = 2 * 8 * (14 + 7)[/tex]
[tex]Area = 16 * (14 + 7)[/tex]
[tex]Area = 16 * 21[/tex]
[tex]Area = 336[/tex]
hey! i’ll give brainliest please help.
Answer:
respect the traditions and beliefs
can someone pls help me I’m confused
Answer:
The correct answer would be: 27x⁶y⁹
Step-by-step explanation:
=> (3x²y³)³
=> 3³x²⁽³⁾y³⁽³⁾
=> 27x⁶y⁹
Hope this helps!
You can write the equation of the line if you have two points on the line.
Is that true or false?
Which expression is equivalent to 4^-6 x 4^-2
Answer:
4^-8
Step-by-step explanation:
When multiplying two exponents with the same base, in this case, 4, you need to add the two powers (-6 + -2), to get -8.
Help me with this please!!!!!!!!!!!!!!!!!!!!!
Answer:
y = 2 units
Step-by-step explanation:
We can solve this in 2 ways, both ways would give the same answer:
#1) Sin(45) = [tex]\frac{\sqrt{2} }{y}[/tex]
=> Sin(45) * y = [tex]\sqrt{2}[/tex]
=> y = [tex]\frac{\sqrt{2} }{Sin(45)}[/tex]
=> y = 2
#2) Cos(45) = [tex]\frac{\sqrt{2} }{y}[/tex]
=> Cos(45) * y = [tex]\sqrt{2}[/tex]
=> y = [tex]\frac{\sqrt{2} }{Cos(45)}[/tex]
=> y = 2
Hope this helps!
Answer:
The value of y is 2 units .
Which alternative is the reciprocal of 2? *
A.-2
B. -1/2
C. 1/2
D.2
Answer:
I think the answer is C
b.r.uh. these ch.a..t links be t.ripping
Answer: Ok so that is a fact for sure
Answer:
yup
Step-by-step explanation:
The costs for going to a dog beach are $7 for 1 dog, and $2 for each additional dog. Write an equation for this situation, when going to the beach with at least one dog.
Answer:
$7+$2(x-1)-y
Step-by-step explanation:
$7+$2(x-1)=y where $7 is fixed fee and $2(x-1) represents $2 more for every ADDITIONAL dog more than the first dog.
Asked the wrong question minutes ago. The question I need answering is here, in the included photo.
Step-by-step explanation:
m L 1 = 180°-75° = 105° ( angles in one side)
m L 2 = 75° (corresponding angles)
Vertical angles have sum 180
m<1=
180-75105°m<2
180-10575°What is the volume of the triangular pyramid? Round to the nearest tenth if
necessary
Answer: 224m^3
Step-by-step explanation:
Since V=B(Base)h(Height)
B=1/2x4x8
8x4=32x1/2=16
V=16h
H=14
V=16(14)=224
So your answer is 224m^3
(^3 means cubed)
I hope this helps!
giving 15 points cause i rlly need help
Bob had 1/3 of a pizza left over. He ate 2/3 of the leftovers for lunch. How much
pizza did he eat for lunch
The temperature in the afternoon is -8°F. In the evening, the temperature is 6°F colder than in the afternoon.
Choose all the expressions that can represent the situation.
A. 6 - 8
B. -8 - 6
C. -8 + 6
D. 6 - (-8)
E. -8 + (-6)
Answer:
-8-6
-8+6
6-(-8)
Step-by-step explanation:
helpppppppppppppppppppo
Answer:
...
Step-by-step explanation:
the first one ur correct
the second one is 12cm
Answer:
The west side is 12 cm
Step-by-step explanation:
15 kilometers divided by 5 is 3. Since every 5 kilometers is 4 cm, multiply 3 by 4 to get 12
3/8
×
2/9
please help so hard!!!!!!!
Answer:
[tex]\frac{1}{12}[/tex]
Step-by-step explanation:
[tex]\frac{3}{8}[/tex]×[tex]\frac{2}{9}[/tex]
You can cut off 3 and 9 because they have 3s there
You can also cut off 2 and 8 since they have 2s there.
[tex]\frac{1}{4}[/tex]×[tex]\frac{1}{3}[/tex]
[tex]=\frac{1}{12}[/tex]
The complex polygon below represents the layout of a parking lot. Find the area of the parking lot in square meters.
Answer:
The area of the parking lot is: 144cm^2
Step-by-step explanation:
Given
See attachment for polygon
Required
The area of the parking lot
The attached plot has 6 congruent triangles with the following dimension;
[tex]Base = 6cm[/tex]
[tex]Height = 8cm[/tex]
[tex]Area = \frac{1}{2} * Base * Height[/tex]
[tex]Area = \frac{1}{2} * 6cm * 8cm[/tex]
[tex]Area = 24cm^2[/tex]
The area of the 6 triangles is:
Area = 6 * Area of 1 triangle
[tex]Area = 6 * 24cm^2[/tex]
[tex]Area = 144cm^2[/tex]
Cora is using successive approximations to estimate a positive solution to
f
(
x
)
=
g
(
x
)
, where
f
(
x
)
=
x
2
+
13
and
g
(
x
)
=
3
x
+
14
. The table shows her results for different input values of
x
.
By successive approximations we find that [tex]x \approx 3.3[/tex] for [tex]f(x) = g(x)[/tex].
How to find a solution of two functions by direct inspection
According to the table, the value of [tex]x[/tex] must be between 3 and 3.5. [tex]x[/tex] is the solution of [tex]f(x) = g(x)[/tex] if and only if [tex]f(x) - g(x) = 0[/tex]. Let suppose that [tex]x = 3.3[/tex], then:
[tex]3.3^{2}+13 = 3\cdot (3.3) + 14[/tex]
[tex]-0.01[/tex]
As we need only two decimals, approximation seems to be reasonable.
By successive approximations we find that [tex]x \approx 3.3[/tex] for [tex]f(x) = g(x)[/tex]. [tex]\blacksquare[/tex]
RemarkStatement is incomplete and incorrectly formatted, correct form is presented below:
Cora is using successive approximations to estimate a positive solution to [tex]f(x) = g(x)[/tex], where [tex]f(x) = x^{2}+13[/tex] and [tex]g(x) = 3\cdot x + 14[/tex]. The table shows her results for different input values of [tex]x[/tex]:
x f(x) g(x)
0 13 14
1 14 17
2 17 20
3 22 23
4 29 26
3.5 25.25 24.5
To learn more on numerical methods, we kindly invite to check this verified question: https://brainly.com/question/19034634
ace please help plsss
Answer:
B
Step-by-step explanation:
I Think I Got It Right But This Is From A LONG time ago
Answer:
B. 60
Step-by-step explanation:
I am pretty sure this is a 30-60-90 similarity right triangle. If that's the case, then the answer is 60 degrees. Have a good day! :DDD
Select all expressions are equivalent to 3^8
83
310
32
3.8
(34)
o (3.3)
3
Answer:
[tex]\frac{3^{10} }{3^{2} }[/tex] , [tex](3*3)^{4}[/tex], [tex](3^{4})^{2}[/tex]
Step-by-step explanation:
The expressions 3¹⁰/3², (3⁴)², and (3·3)⁴ are equivalent to the given expression. which is the correct answer would be options (B), (D), and (E).
What are exponential expressions?Exponential expressions, as the name indicates, involve exponents. We already know that the exponent of a number (base) specifies how many times the number (base) has been multiplied. To answer the exponential expressions, we may need to apply the relationship between exponents and logarithms.
As per option (B), we have
3¹⁰/3²
3¹⁰⁻²
Apply the subtraction operation in the exponent
3⁸
As per option (D), we have
(3⁴)²
3⁴ˣ²
Apply the multiplication operation in the exponent
3⁸
As per option (E), we have
(3·3)⁴
(3²)⁴
3⁴ˣ²
3⁸
Thus, the expressions 3¹⁰/3², (3⁴)², and (3·3)⁴ are equivalent to the given expression.
Hence, the correct answer would be options (B), (D), and (E).
Learn more about exponential function here:
brainly.com/question/11487261
#SPJ2
THINK ABOUT WHETHER THEY ARE ASKING FOR CURCUMFERENCE OR AREA If you want to Make sure to have the most pizza which would you rather two 12 inch medium or one 18 inch large. Justify your answer mathematically
Answer:
The maximum pizza quantity would be with the pizza of 18 inch
Step-by-step explanation:
The size of the pizza in inches depicts its diameter.
Thus, 12 inch pizza means diameter of the pizza = 12 inch and 18 inch pizza means diameter = 18 inch
In case of either the CURCUMFERENCE OR AREA, the pizza with larger diameter will have larger CURCUMFERENCE and AREA as compared to the pizza with smaller diameter.
For instance
Area of 18 inch pizza
[tex]\pi * (18/2)^2\\= 254.34[/tex]Square inch
Area of 12 inch pizza
[tex]\pi * (12/2)^2\\= 113.04[/tex]Square inch
Circumference of 18 inch pizza
[tex]2*3.14*9 = 56.52[/tex]
Circumference of 12 inch pizza
[tex]2*3.14*6 = 37.68[/tex]
can someone average this out for me and for the term test I made a 36
Answer: 70.77 or 71 if rounded up
Step-by-step explanation:
Add all the scores then divide to 18.
The table shows the favourite colour of 400 people.
Colour
Frequency | Angle in
Red
100
Blue
100
Green
150
Yellow
50
Complete the table and draw a pie chart
to represent this information.
Note: Please draw your pie chart in a 'clockwise' direction from the line already drawn
and follow the order from the table (Red, then Blue etc...).
The favourite colours represent the following angles: red (90°), blue (90°), green (135°) and yellow (45°).
Rule of Three
It's a math tool for solving problems about proportion. You can relate more than 2 variables and from the proportion, it's possible to find an unknown number.
Here you can apply the rule of three for finding the angle of each frequency. The total of people (400) represents the total angle of a circumference which is 360°.
For colour - red400 ----------- 360°
100 ------------ r
400r=360*100
400r=36000
r=36000/400
r=90°
For colour - blue400 ----------- 360°
100 ------------ b
400b=360*100
400b=36000
b=36000/400
b=90°
For colour - green400 ----------- 360°
150------------ g
400g=360*150
400g=54000
g=54000/400
g=135°
For colour - yellow400 ----------- 360°
50------------ y
400y=360*50
400y=54000
y=18000/400
y=45°
Read more about the rule of three here:
brainly.com/question/24514897
#SPJ1
PLEASE HELP!!!!!!! What is the slope of the line?
−53
−35
35
53
Answer:
Slope = 1
Step-by-step explanation:
two students were walking to school one day when they saw two teachers each walking with two dogs. Each dog had two ears.How many dog ears where they in all
Answer:
there were 8 dog ears in all.
Step-by-step explanation:
Since the statement says that they saw two teachers each walking with two dogs, you have to multiply the number of teachers for the number of dogs each one had to find the total number of dogs they had:
2*2=4
Now, as the statement indicates that each dog had two ears you have to multiply the number of dogs for the number of ears each one has:
4*2=8
According to this, the answer is that there were 8 dog ears in all.
Question 1
Which expression is NOT equivalent to the expression
shown above?
7^2
7^5
Select one:
7-3
7-10
1/343
72.75