Alright let's solve this step by step:
Question 1: Find the perimeter of the baseDefinition of Perimeter: is all the side length of the shapes added up⇒ Perimeter = 6 + 6 + 6 + 6 + 6 + 6 + 11 + 11 = 58 km
Question 2: Height of PrismDefinition of height: is the distance from the base of the figure to the top base of the figure
⇒ Height = 4.3km
Question 3: Lateral AreaDefinition of Lateral Area: area of nonbase face only
⇒ area of the two rectangles on the narrower side of the figure
⇒ plus the area of the pentagon on the wider side of the figure
Area of Pentagon= [tex]\frac{1}{2}(base1+base2)*height = \frac{1}{2} *(6 + 11) *4.3=36.55km^2[/tex]
Area of Rectangle = 6 * 5 = 30 km^2Total Area = 36.55 + 36.55 + 30 +30 = 133.1 km^2
Question 4: Find the area of the base
Area of the two bases = 6 * 6 + 6 * 11 = 36 + 66 = 102 km^2
Question 5: Find the surface area of the figureDefinition of the Surface Area: it is a measure of the total area that the surface of the object occupies
⇒ Surface Area = Lateral Area + Base area = 133.1 + 102 = 205.1 km^2
Hope that helps!
2. Which exponential function matches the
values in the table below?
х
3
4
5
4,096
32,768
| f(x) 512
A f(x) = x8
B f(x) = 8*
C f(x) = 64(2)*
D f(x) = 8x
Answer:
B. f(x) = 8*
Step-by-step explanation:
putting the value given in table
=> 512 = 8³
=> 512 = 512
=> 5,096 = 8⁴
=> 5,096 = 5,096
=> 32,768 = 8⁵
=> 32,768 = 32,768
so, it's B f(x) = 8*
Answer:
The answer is B) f(x)=8^x
Please help me out I’m really bad
9cm
7 cm
9cm
8cm
Olivia goes to Egypt and saw a model of
irged it using a scale factor of 1.2. What
ne new triangle pyramid?
6 cm
6 cm
Answer:
6 * 1.2 = 7.2
7 * 1.2 = 8.4
8 * 1.2 = 9.6
now find the Area and Perimeter of the enlarged triangle:
A = 1/2bh
A = 1/2 * 9.6 * 8.4
A = 40.32
P = a + b + c
P = 7.2 + 7.2 + 9.6
P = 24
So, the Area is 40.32 and the Perimeter is 24.
3
(08.01)
Line M is represented by the following equation: x - y = 8
Which equation completes the system that is satisfied by the solution (18, 10)? (4
points)
1) 2x - y = 26
2) x + y = 18
3) 2x - 2y = 36
04) x - y = -28
Answer:
1) 2x - y = 26.
Step-by-step explanation:
Solution = (18, 10)
2x - y = 26 fits the bill
as 2(18) - 10
= 36 - 10
= 26.
PLS HELP ME WITH THIS IM GONNA CRY ITS SO HARD....
Arsenic‐74 is used to locate brain tumors. It has a half‐life of 17.5 days. 90 mg were used in a procedure. Write an equation that can be used to determine how much of the isotope is left after x number of half-lives.
Let that be x
Use the general formula used for calculating half-life
[tex]\\ \rm\Rrightarrow A=A_o(0.5)^{\frac{t}{h}}[/tex]
H is half-life,t is timetime given xput values
The equation is
[tex]\\ \rm\Rrightarrow A=90(0.5)^{x/17.5}[/tex]
A study claims that the average home sale price in Kansas is less than the average home sale price in Missouri. The average sales price for 35 home sales in Kansas is $240,993 with a standard deviation of $25,875. The average home sales price for 37 homes in Missouri is $249,237 with a standard deviation of $27,110. At the (alpha) a= 0.10, is there enough evidence to reject the study’s claim?
Complete a full hypothesis test for the following. Include the hypotheses, critical
value(s), test value and graph, your decision to reject or not reject, and a summary of
the information
Since [tex]|z| = 1.301 \leq z_1 = 1.64[/tex] null hypothesis on this data is not rejected.
Null and Alternative HypothesisData;
sample mean x1 = 240993population standard deviation σ1 = 25875sample size n1 = 35sample mean x2 = 249237population standard mean σ2 = 27110sample size n2 = 35significance level α = 0.10H_o = μ1 = μ2
H_o = μ1 ≠ μ2
This is a two-tailed test and population standard deviation will be used.
Test StatisticThe z-stat is
[tex]z = \frac{x_1 - x_2}{\sqrt{\frac{\sigma_1^2}{n_1}+ \frac{\sigma_1 ^2}{n_2} } } \\z=\frac{240993-249237}{\sqrt{\frac{25875^2}{35}+ \frac{27110^2}{35} } } \\z = \frac{-8244}{6334.6388} \\z = -1.301[/tex]
The significance level is α = 0.1 and the critical value for a two-tailed test is
[tex]Z_t = Z_1 - _\alpha _/_2 = 1.64[/tex]
Since [tex]|z| = 1.301 \leq z_1 = 1.64[/tex], we can assume that the null hypothesis is not rejected.
Learn more on null hypothesis here;
https://brainly.com/question/15980493
A.)12
B.) 25
C.)51
D.) 77
Answer:
4x+3=2x+27
4x-2x=27-3
2x=24
x=24/2
x=12
Answer:
51
Step-by-step explanation:
2x+27=4x+3
-3 -3
__________
2x+24=4x
___________
2
x+12=2x
-x -x
___________
12=x
now plug in/check answer
2(12)+27=4(12)+3
24+27=48+3
51=51
true
Write the following in order of size ,starting with the smallest. 66/100 , 0. 6 , 0. 67 , 666/1000
Answer:
0.6,66/100,666/1000,0.67
How many lines of symmetry does the letter J have image is the J I'm talking about
Answer:
0
Step-by-step explanation:
there are no lines os symmetry in this letter there are no straight lines that don't intersect
Answer:
0
Step-by-step explanation:
If you split it in half it is not a mirror image of itself..
pls help T-T
i need a solution too
Answer:
I do not know it very well
Step-by-step explanation:
80
Answer:
b. 60°
Step-by-step explanation:
The exterior angles of a convex polygon total 360°. When the polygon is a regular hexagon, there are 6 congruent exterior angles.
__
Each exterior angle has a measure of ...
x° = 360°/6 = 60°
Juan plays little league baseball. In 36 at-bats, he had 12 hits. What is the ratio of at-bats to hits?
Answer:
The Ratio is 8:16.
Step-by-step explanation:
Find m
S
12x +4
G
40°
F
E
D
4x
Answer: C
Step-by-step explanation:
For the data set 1, 7, 7, 7, 8, the mean is 6
Answer:
Yes
Step-by-step explanation:
1+7+7+7+8=30
30/5= 6
Jerry hiked along a path. From his starting position, he hiked downhill to a valley where the elevation dropped 25 meters below his starting position. Then, he hiked up to a hill that was 40 meters higher than the valley.
The following equation describes this situation.
-25 + 40 = 15
CHOOSE 1 ANSWER
1. Jerry hiked a total of 15 meters
2. the hill was 15 meters higher than the elevation of his starting point
3. None of the above
Answer:
15 represents where Jerry is after the elevation dropped 25 meters and then rose 40 meters.
Step-by-step explanation:
It's given that Jerry hiked downhill to a valley where the elevation dropped 25 meters below his starting position. Then, he hiked up to a hill that was 40 meters higher than the valley
Hiked downhill = 25 meters
Hiked up = 40 meters
The given equation is
Here, hiked downhill represented by negative sign and hiked up resents by positive sign.
So, 15 represents that Jerry hiked up 15 meters from his starting position.
(2, the hill was 15 meters higher than the elevation of his starting point)
Answer:
2.
Step-by-step explanation:
The hill was -25 + 40 = 15 meters highe than starting point.
helppppppp fasttttt!!!!!!!!!!!!!!!!!!
Answer:
7
Step-by-step explanation:
7+7=14*
14*3.14=43.96
Select all the expressions that are equivalent
Answer:
B, C, D
Step-by-step explanation:
One of the rules of exponents is that an exponent in the numerator is equivalent to the opposite of the same exponent in the denominator. That means ...
[tex]4^{-3}=\dfrac{1}{4^3}\qquad\text{matches C.}[/tex]
Another rule of exponents is that an exponent represents repeated multiplication. If a factor can be written using an exponent, the exponents are effectively multiplied.
[tex]4^{-3}=(2^2)^{-3}=2^{2(-3)}=2^{-6}\qquad\text{matches B.}[/tex]
Of course, that repeated multiplication can be shown explicitly:
[tex]\dfrac{1}{4^3}=\dfrac{1}{4}\cdot\dfrac{1}{4}\cdot\dfrac{1}{4}\qquad\text{matches D.}[/tex]
The equivalent expressions to 4^(-3) are B, C, D.
_____
Additional comment
The expression of G evaluates to ...
[tex]\dfrac{8^{-1}}{2^2}=(2^3)^{-1}\cdot2^{-2}=2^{3(-1)-2}=2^{-5}\qquad\text{not equivalent}[/tex]
Solve 5(x – 4) = 2(x + 5) for x.
Question 9 options:
x = 5
x = –10
x = 10
x = –5
Answer:
Step-by-step explanation:
the answer for 5(x – 4) = 2(x + 5)
is x=10
your welcome!
Answer:
x = 10
Step-by-step explanation:
5(x – 4) = 2(x + 5) DISTRIBUTE
5x - 20 = 2x + 10 COMBINE LIKE TERMS
3x = 30 ISOLATE X
x = 10 FINAL ANSWER
I hope this helps!
Mandy was painting a mural shape of a rectangle. The length of the mural was 12 feet and the width was 5 feet. what was the area of the mural?
Answer:
The area of the mural is 60 feet.
Step-by-step explanation:
The equation for area is L(Length) x W(Width). So, take the length of the mural (12 feet) & multiply it by the width (5). The answer you should get is 60 feet.
HELPPPPPPPPPPPPPP ASAP
Answer:
Use the formula of Range Large-Small Data
I think it will help you.
Are the expressions 5 ( x - 3) and 5x + 15 equivalent? use the distributive property to support your answer
Answer: No
Step-by-step explanation: No, they aren't. If you look at 5 and multiply (distribute) it to negative three you will end up with -15. And 15 is not equal to negative 15.
I hope this helps!
Please help me
x^2 + 5=41 (find all solutions to the equation)
Answer:
X=6!!
Step-by-step explanation:
x2+5=41. x2=36. ±62=36. x=6.
x=6!!!
What is the experimental probability of rolling a number less than 4?
A: 1/2
B: 16/33
C: 1/22 D: 17/33
what is the answer?
HELP
Answer:
A. 1/2
Step-by-step explanation:
For the question, it says what is the experimental probability of rolling a number less than 4, meaning it is asking for the experimental probability of rolling a 1, 2, or 3. Assuming this is a fair 6-sided dice, the probability of rolling any number is 1/6. The probability of rolling a 1, 2, or 3 is also 1/6. Adding all those the probabilities of 1, 2, and 3 together gets 3/6, which simplifies to 1/2.
Therefore, the experimental probability of rolling a number less than 4 is 1/2.
What is the slope of the line through the points (-2, -1) and (4, 3)?
2/5
5/2
3/2
2/3
Answer:
2/3
Step-by-step explanation:
We can use the slope formula to find the slope
m = ( y2-y1)/(x2-x1)
= ( 3- -1)/ ( 4 - -2)
= ( 3+1)/ ( 4+2)
= 4/6
= 2/3
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{The formula for slope of a line is: }\large\boxed{\mathsf{m = \dfrac{y_2 - y_1}{x_2 - x_1} \ or\ easier \ way\ m = \dfrac{rise}{run}}}[/tex]
[tex]\large\textsf{NOW LETS ANSWER THE GIVEN EQUATION}[/tex]
[tex]\large\text{THE GIVEN EQUATION: \boxed{\rm{m = \dfrac{3 - (-1)}{4 - (-2)}}}}\\\large\boxed{m \rm{= \dfrac{3 + 1}{4 + 2}}}\\\\\\\large\boxed{m \rm{= \dfrac{4}{6}}}\\\\\\\large\boxed{m \rm{= \dfrac{4\div 2}{6\div 2}}}\\\\\\\large\boxed{m = \rm{\dfrac{2}{3}}}\\\\\\\huge\text{Therefore, your answer is: \boxed{\mathsf{Option\ D. \dfrac{2}{3}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
select all the expressions that are equivalent to 16^5/2
Answer:
A, C, E
Step-by-step explanation:
[tex] 16^{\frac{5}{2}} = 16^{\frac{1}{2} \times 5} = (\sqrt{16})^5 = \sqrt{16^5} = 1024 [/tex]
A. 4^5 = 1024 Yes
B. 8^5 No
C. 4^5 Yes
D. [tex] 16^{\frac{2}{5}} [/tex] No
E. [tex] 16^{2 + \frac{1}{2}} = 16^{\frac{5}{2}} [/tex] Yes
F. [tex] 16^{\frac{11}{2}} [/tex] No
What is the answer, I need this for a geometry assignment.
Answer:
x= 14. (ik this not trig but side opp. 30 angle is half the hypotenuse in right triangle). pls give brainliest
Step-by-step explanation:
If apples cost $1.08 per pound, how much would 3.8 pounds cost?
Answer:
4.10
Step-by-step explanation:
1.08 * 3.8 = 4.104
but money is 2dp so...
4.10
For a football game. Adult tickets are 8 dollars and student tickets are 5 dollars. The school sells 2570 tickets and makes a total of $19,060.
how many adult ticket were sold
how many student tickets were sold
Carmen's car used 11 gallons of gas to travel 462 miles. How many miles per gallon did his car travel? Show the steps for finding the unit rate
Answer:
I'm pretty sure it's 473 if that isn't correct Then what you do Is Divide it or Mutiply it if you still don't get your answer Be sure to Ask someone
Answer:
42miles per gallon
Step-by-step explanation:
since total gallons of fuel used is 11 gallons to travel 462miles,
per gallon will be 462/11 =42miles per gallon
Could you also provide an explanation
Answer:
Equation: y=mx+b
sorry for taking so long! :)
AC) y=-1, because it is remaining constant and the slope is zero, the y intercept is -1.
AB) The slope is 1 and the y intercept is 1.
So, y=x+1
BC) The slope is -6. The y intercept is harder to find. You can use this equation however;
y-y(1)=m(x-x(1)
y-5=-6(x-4)
y=-6x+29
Nicholas bought 776.25 ounces of chocolate. 213.46 ounces of it was milk chocolate and the rest was dark chocolate. How much dark chocolate did Nicholas buy?