If you mean:
x² = 10
√x² = √10
x = √10
if you meant:
2x = 10
2x/2 = 10/2
x = 10/2
x = 5
hope this helps?
find the volume of the following square pyramid. geometry hw
Given:
The square base pyramid with height 3 cm and base edge 2 cm.
To find:
The volume of the square pyramid.
Solution:
Volume of a square base pyramid is:
[tex]V=\dfrac{1}{3}Bh[/tex] ...(i)
Where, B is the base area and h is the height of the pyramid.
Base is a square with edge 2 cm, so the base area is:
[tex]B=a\times a[/tex]
Where, a is the edge of the square base.
[tex]B=2\times 2[/tex]
[tex]B=4[/tex]
Putting [tex]B=4,h=3[/tex] in (i), we get
[tex]V=\dfrac{1}{3}(4)(3)[/tex]
[tex]V=4[/tex]
Therefore, the volume of the given pyramid is 4 cm³.
An angle measures 60.2° less than the measure of its supplementary angle. What is the measure of each angle?
Answer:
the angles are 120.1 and 59.9
Step-by-step explanation:
supplementary means that the add up to be 180
I made a system of equations and to make thing faster I graphed them but if you wanted you could solve fully
x+y=180
y-60.2=x
Baseball statisticians studied how often triples (a certain event in a baseball game) occurred in professional games played between 1947 and 2017. A 98 percent confidence interval to estimate the slope of the linear regression line relating the year, x, and the mean number of triples per game, y, yielded (−0.006,−0.002). A check shows that the conditions necessary for inference for the slope of the regression line are met.
Based on the confidence interval, which of the following claims is supported?
A. The mean number of triples per game is between 0.002 and 0.006.
B. The number of triples per game has increased, on average, per year.
C. There is no linear relationship between the mean number of triples per game and year.
D. There is a negative linear relationship between the mean number of triples per game and year.
E. A conclusion cannot be made about the relationship between year and mean number of triples per game because the values are close to 0.
Answer: D. There is a negative linear relationship between the mean number of triples per game and year.
Step-by-step explanation: This claim is supported by the interval. The interval contains plausible values for the slope of the linear regression line relating year and mean number of triples per game. Since all the values in the interval are negative, the interval supports the claim that increases in the year are associated with decreases in the mean number of triples per game.
What is the volume to the nearest tenth
Answer:
735.84
Step-by-step explanation:
Search Up Cone Volume Formula
Answer: 84.7 cm
Step-by-step explanation:
I just multiplied them both and rounded the 84.66 to a 84.7, hope I helped!
Oridinary interest method to find the rate of interest that make over photo pays on a loan of $8,000 for 285 days. If the amount of interest is $590.
Answer:
The correct answer is "9.3%".
Step-by-step explanation:
The given values are:
Amount of interest,
= $590
Principle,
= $8,000
Time:
= 285
Let the interest rate will be "x".
Now,
⇒ [tex]Amount \ of \ interest=Principle\times Interest \ rate\times \frac{time}{No. \ of \ days \ in \ year}[/tex]
On substituting the values, we get
⇒ [tex]590=8000\times x\times \frac{285}{360}[/tex]
⇒ [tex]590=6333.33\times x[/tex]
⇒ [tex]x=\frac{590}{6333.33}[/tex]
⇒ [tex]=9.3157 \ percent[/tex]
or,
⇒ [tex]=9.3[/tex]%
Graph the equation.
y-3= -5(x-1)
Step-by-step explanation:
First you gotta write it in standard form
y - 3 = -5(x-1)
distribute -5(x-1) = -5x + 5
y - 3 = -5x + 5
+3 +3
y = -5x + 8
I used desmos graphing caculator to graph
What is the most likely meaning of the word endangered?
influenced
exposed
assisted
threatened
Answer:
exposed is another word for endangered
question in screenshot
A rectangle has an area of 18 square centimeters. Which of the following could be the rectangle's length and width? (Area = equals length × times width)
Answer:
Step-by-step explanation:
any combination that has as result 18
18 x1
9 x2
6x3
5.3d = 42.4
pls help
Answer:
Step-by-step explanation:
Divide both sides by 5.3 and you get d = 8. You can use a calculator for this or just do division by hand.
Miguel is posting photos on a school website. He has 48 photos, and he is allowed to
use 12 pages. He wants to put the same number of photos, p, on each page.
1) Which equation represents the situation?
Answer:
12p=48
Step-by-step explanation:
Annette has 1/4 yard of fabric. She cuts it into 3 equal pieces. Each piece of fabric is ____ yard.
Answer:
1/12
Step-by-step explanation:
Simpliy divide 1/4 by 3
(1/4)/3=1/12
2-An 83cm piece is cut from a length of ribbon measuring 1.3 metres. What length is left?
Answer:
81.7cm is the length left behind
Step-by-step explanation:
83 -1.3 =81.7
The amount of flight time between failures of an airplane engine is exponentially distributed with mean 900 hours. If the engine is inspected every 600 hours of flight time, what is the probability that the engine will fail before it is inspected
Answer:
0.4866 = 48.66% probability that the engine will fail before it is inspected
Step-by-step explanation:
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:
[tex]f(x) = \mu e^{-\mu x}[/tex]
In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.
The probability that x is lower or equal to a is given by:
[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]
Which has the following solution:
[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]
The probability of finding a value higher than x is:
[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]
Exponentially distributed with mean 900 hours.
This means that [tex]m = 900, \mu = \frac{1}{900}[/tex]
If the engine is inspected every 600 hours of flight time, what is the probability that the engine will fail before it is inspected?
This is [tex]P(X \leq 600)[/tex], which is:
[tex]P(X \leq 600) = 1 - e^{-\frac{600}{900}} = 0.4866[/tex]
0.4866 = 48.66% probability that the engine will fail before it is inspected
Two processes in a manufacturing line are performed manually: operation A and operation B. A random sample of 50 different assemblies using operation A shows that the sample average time per assembly is 8.05 minutes, with a population standard deviation of 1.36 minutes. A random sample of 38 different assemblies using operation B shows that the sample average time per assembly is 7.26 minutes, with a population standard deviation of 1.06 minutes.
Required:
For α = 0.10, is there enough evidence in these samples to declare that operation A takes significantly longer to perform than operation B?
Answer:
3.06
Step-by-step explanation:
The correct answer is - 3.06
Reason -
For sample A :
mean, [tex]\bar{x_{1} }[/tex] = 8.05
Standard deviation, [tex]\sigma_{1}[/tex] = 1.36
Size, [tex]n_{1}[/tex] = 50
For sample B :
mean, [tex]\bar{x_{2} }[/tex] = 7.26
Standard deviation, [tex]\sigma_{2}[/tex] = 1.06
Size, [tex]n_{2}[/tex] = 38
Now,
[tex]\bar{x_{1} }[/tex] - [tex]\bar{x_{2} }[/tex] = 8.05 - 7.26 = 0.79
Standard deviation error, SE = √([tex]\sigma_{1}[/tex]²/[tex]n_{1}[/tex] + [tex]\sigma_{2}[/tex]²/[tex]n_{2}[/tex]) = 0.2580
Now,
Z-statistic = ([tex]\bar{x_{1} }[/tex] - [tex]\bar{x_{2} }[/tex] )/ SE
= 0.79/0.2580
= 3.06
⇒Z-statistic = 3.06
Find the average of the function over the given interval. f(x) = x3 over [−1, 1]
9514 1404 393
Answer:
0
Step-by-step explanation:
f(x) = x^3 is an odd function, so is symmetrical about the origin. Its average value on any symmetrical interval around the origin will be 0.
The average value is 0.
What is the answer to 4 x n
Answer:
4n
Step-by-step explanation:
you multiply 4 x n= 4n
:')
Question 1
10 pts
The vertices of a triangle are P(4,7), Q(-1,7) and R(4,-5). What is the
perimeter of triangle PQR?
Answer:
30
Step-by-step explanation:
This problem can be done without the Distance Formula (which is a way to find the distance between any two points in the plane).
The attached image shows the points and segments joining them.
PQ = 5 because the points are on the same horizontal line, and you can count spaces between them (or subtract x-coordinates: 4 - (-1) = 5).
PR = 12 because the points are on the same vertical line; count spaces or subtract y-coordinates, 7 - (-5) = 12.
The triangle is a right triangle, so the Pythagorean Theorem can be used to find the length of the hypotenuse.
[tex](\text{leg})^2+(\text{leg})^2=(\text{hypotenuse})^2[/tex]
[tex](QR)^2=5^2+12^2=25+144=169\\QR=\sqrt{169}=13[/tex]
The perimeter of the triangle is 5 + 12 + 13 = 30
Use long division to find the quotient of 1,467 and 58. What is the remainder?
Answer:
1467 divided by 58 equals
25 with a remainder of 17
Step-by-step explanation:
Answer:
17
Step-by-step explanation:
Convert 65 degress celsius to degress farenheit.
If necessary, round your answer to the nearest tenth of a degree
Here are the formulas :
C=5/9 ( f-32)
F= 9/5 C+32
Answer: 150 degrees
Step-by-step explanation:
Answer:
149°F
Step-by-step explanation:
The Celsius measure is 65° . We know the relation between Celsius and Farenheight as ,
⇒ C/5 = F-32/89
⇒ 65/5 = F-32/9
⇒ 13 = F-32 / 9
⇒ F - 32 = 13 × 9
⇒ F = 117 + 32
⇒ F = 149 °F
Hence the Faeenheight measure is 149°F .Select the correct answer. Consider functions fand g. f(x) = -3x^2 + 4x + 4 g(x) = x(-7x – 7) Which expression is equal to f(x) + g(x)? A. 4x2 – 3x + 4 B. -10r2 + 41 – 3 C. -10,2 – 3x + 4 D. –332 – 3x - 3
Answer:
Correct Answer:
Option (B) -10r2 + 41 - 3
Step-by-step explanation:
#platolivesmatter
Hope this helped :)
Comment for more help, I respond very fast ;)
The expression is equal to f(x) + g(x) is -10x^2 - 3x + 4, the correct option is C.
What is an expression?Expression in mathematics is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division. An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
We are given that;
The expression f(x) = -3x^2 + 4x + 4 g(x) = x(-7x – 7)
Now,
To find f(x) + g(x), you can add the two functions term by term. This gives you:
f(x) + g(x) = (-3x^2 + 4x + 4) + (x(-7x – 7))
f(x) + g(x) = -3x^2 + 4x + 4 - 7x^2 - 7x
f(x) + g(x) = -10x^2 - 3x + 4
Therefore, by the given expression the answer will be -10x^2 - 3x + 4.
To know more about an expression follow;
brainly.com/question/19876186
#SPJ7
Substituting the equation x = 4y – 12 into the equation -2y = x – 6 will produce the equation _________.
Vx
What is the percent decrease when the balance in a bank account goes from $300 to $60?
O The percent decrease is 20%.
O The percent decrease is 25%.
O The percent decrease is 80%.
O The percent decrease is 87%
Answer:
C. 80%
Step-by-step explanation:
Which is equal to the cos ÐR?
PLEASE HELP ME
Answer: 4/5 = .8
cos adj/hyp of r is .8
HOWEVER...
I’m assuming it’s talking about angle R...
What value of x makes the equation –7x + 4 – 3x = –2x – 12 true?
Answer:
x=2
Step-by-step explanation:
To solve this equation combine like terms and move all like terms to the same side. Then, isolate the variable.
First, combine like terms that are on the same side,
-10x+4=-2x-12
Next, move -10x to the other side by adding it to both sides,
4=8x-12
Then, add 12 to both sides as well,
16=8x
Finally, isolate x by dividing the whole equation by 8,
2=x
Answer:
x=2
Step-by-step explanation:
I know the answer is x=2.
First, I set up the equation.
-7x+4-3x=-2x-12
Next, I added like values on each side.
-10x+4=-2x-12
Then, I added 10x to both sides.
4=8x-12
Then, I added 12 to both sides.
16=8x
Next, I divided 8 on both sides.
2=x
To make sure 2 is the true value of x, I inserted 2 to all values of x in the equation. -7(2)+4-3(2)=-2(2)-12. Both sides of the equation are -16. So, 2 is the real value of x in this equation.
6
Uzupełnij zdania, wykorzystując podane
w nawiasach wyrazy w odpowiedniej formie.
Nie zmieniaj kolejności podanych wyrazów,
jednak - jeżeli jest to konieczne - dodaj
inne wyrazy. W każdą lukę możesz wpisać
maksymalnie cztery słowa, wliczając w to
wyrazy już podane.
1 We couldn't make an omelette because we
(have /no/egg)
2 You cooked a delicious meal, so let (1 / wash/
dish)
3 My uncle is a chef, so everyone (listen / he /
advice)
about cooking.
4 Claire is trying (not/ eat / sweet)
5 I only (drink/bit)
the coffee because it was too strong.
Answer:
This is an english server?
Step-by-step explanation:
|x − 5| − |2 − x| + |x + 1| , if x ≥ 5
Answer:
if the X is equal and large than 5 The X would be 5 or the any numbers large than it :)
Which of the following shows the correct first step to solve x^2-16x=-21 by completing the square? I'll give brainiest ASAP
`
An expression is defined as a set of numbers, variables, and mathematical operations. The correct option is C.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The perfect square of the given expression can be created by adding 36 to the expression, then the expression will reduce to,
(x-6)² = x² - 12x + 36
Hence, the correct option is C.
Learn more about Expression:
https://brainly.com/question/13947055
#SPJ1
Find the lateral area of the cylinder.
Answer:
[tex]A=440\ m^2[/tex]
Step-by-step explanation:
Given that,
The diameter of the cylinder, d = 10 m
Hight, h = 14 m
Radius, r = d/2 = 5 m
We need to find the lateral area of the cylinder. The formula for the lateral area of the cylinder is given by :
[tex]A=2\pi rh\\\\A=2\times \dfrac{22}{7} \times 5\times 14\\A=440\ m^2[/tex]
So, the lateral surface area of the cylinder is equal to [tex]440\ m^2[/tex].
1. In the diagram below, the length of the legs AC and BC of right triangle ABC are 6 cm and 8 cm,
respectively. Altitude CD is drawn to the hypotenuse of AABC. What is the length of AD to the nearest tenth
of a centimeter?
Answer:
Note that ABC is a 6 - 8 -10 right triangle with AB = 10
Also note that triangle ADC is similar to triangle ACB
Therefore
AD/ AC = AC / AB so
AD / 6 = 6/ 10 cross-multiply
10*AD = 6 * 6
810*AD = 36
AD = 36 / 10 = 3.6 = x
I hope this helps a little bit.