Answer:
6 55
Step-by-step explanation:
Refer to the diagram for Exercises 1-3.
125°
xº
zº
y°
what is the value of y z and x
Answer:
x=180-125
=55
z=55
y=180-(55+55)
y=70
A number cube is rolled three times. What is the probability of rolling a number less than 3 each time?
A) 1/9
B) 1/8
C) 1/27
D) 8/27
Answer:
1/27
Step-by-step explanation:
The outcomes when rolling a die are 1,2,3,4,5,6
getting less than 3 = 1,2
P( less than 3) = outcomes of less than 3 / total
= 2/6 = 1/3
Since the events are independent we can multiply the probabilities
P( less than 3, less than 3, less than 3) = 1/3 * 1/3*1/3 = 1/27
find the missing side lengths
Answer:
[tex]x = \frac{2 \sqrt{3} }{3} [/tex]
[tex]y = 1[/tex]
Step-by-step explanation:
30, 60, 90 triangle
Resuelve el siguiente problema:
•Una hamburguesa y papas contienen 1300 calorías si las
papas contienen
50 calorías más que la hamburguesa. ¿Cuál será las calorías totales de la
hamburguesa y de las papas?
Answer:
x= Hamburguesa
y=Papas
y=x+50
x+y=1300
x+(x+50)=1300
2x+50=1300
2x=1250
x=625
Calorias de Hamburguesa = 625
Calorias de Papas = 625+50 = 675
what is 15 out of 24 as a percent?
PLS HELP. write as an expression. thank you:)
Answer:
[tex]x^{\frac{3}{2} } p^{6}[/tex]
Step-by-step explanation:
The area of a square is given as (s³)6.
What is its perimeter?
Answer:
hi friends good evening
The graph below shows the amount of money a store earns for selling T-shirts.
у
T-shirt Sales
100
80
60
Money Earned
(dollars)
40
20
0
4
24
8 12 16 20
Number of T-shirts Sold
What is the unit rate of the graph?
Answer:
Whattt pls draw the graph.. And it will show the us the rate
A box contains two purple marbles nine orange marbles and seven yellow marbles if you pick two without looking what is the probability that both will be orange
Answer:
1/4
Step-by-step explanation:
First, add up the marbles:
2 + 9 + 7 = 18
Multiply by 2 because you pick two:
18 × 2 = 36
Simplify:
9/36 = 3/12 = 1/4
Hope this helped.
Help anyone can help me do this question,I will mark brainlest. The question is find the area of the shaded region.
Answer:
13. 10
14. 51
Step-by-step explanation:
Answer:
13. 10
14. 51
Step-by-step explanation:
Select the correct answer from the drop-down menu.
A
The diagram shows a stage in the construction of a line perpendicular to GH through point A.
The next step in this construction is
Reset
Next
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The diagram is missing and so i have attached it.
Answer:
Next step is;
to keep the same compass width and draw an arc centered at H crossing the previous arc in the image.
Step-by-step explanation:
A perpendicular line is to be drawn to line GH through point A.
The steps are;
1. Identification of the two end points of the line which has been done.
2. Place one leg of the compass at point G and draw a small arc above the line GH. This has been done.
3. Without changing the span of the compass, place the same leg of the compass at point H and draw another small arc above the line GH to intersect the previously drawn small arc.
4. Make use of a straight object to connect the point of intersection of the two small arcs to the point A.
This line is the perpendicular line to GH.
In the figure attached, they have just finished point 2 I wrote above. Thus, the next step is point 3.
Answer:
to keep the same compass width and draw an arc centered at H crossing the previous arc in the image.
Step-by-step explanation:
Find the equivalent exponential expression.
(4^2)4
Answer:
4^8
Step-by-step explanation:
If the second 4 is an exponent, as in (4^2)^4, then multiply the exponents.
(4^2)^4 = 4^(2 * 4) = 4^8
NEED HELP IN FIVE MINUTE PLZ HURRY
Answer:
R=.2,P=.25, G=.55
Step-by-step explanation:
Carla attempted 12 free throw shots on a basketball court. She made 9 out of the shots. What is the experimental probability of Carla making a shot?
Answer:
75%
Step-by-step explanation:
9 ÷ 12 = 0.75
0.75 x 100 = 75 = 75%
Answer:
3/4
Step-by-step explanation:
Experimental probability, is the probability determined according to the results of an "experiment" or a trial. In Carla's "experiment", she attempted 12 total shots and made 9 shots. The probability that she made a shot would be 9/12, or 3/4.
On a piece of paper, graph y= see pic
Answer:
a
Step-by-step explanation:
assuming theyre asking you to graph y = (x-2)(x+3) -cant see the signs in your photo
the x-intercepts would be 2 and -3 , so option a!
is doesnt have any pictures pls help?
Answer:
diameter of a circle
Step-by-step explanation:
Answer:
A diameter of a circle
Step-by-step explanation:
given the construction we have to choose the construction which uses the compass for only one step in addition to drawing circle itself . show a diameter of a circle only e uses one stay in addition to draw circle itself
Can someone please help me with my maths question
Answer:
a) log 2 (48 ×3 ×9 )
log 2 1296
10.3
b) log 4 24 - log 4 3/4 log 4 2
log 4 36
2.58
The profit a company makes from producing x tabletops is modeled by the equation P(x) = 480x – 2x2. For what number of tabletops does the company make a profit of $0?
100 tabletops
120 tabletops
240 tabletops
480 tabletops
Answer:
240
Step-by-step explanation:
The profit a company makes from producing x tabletops is modeled by the equation P(x) = 480x – 2x2. For what number of tabletops does the company make a profit of $0?
Answer:
240 Tabletops
pls pls pls pls help me
.................................
Question Two please help
Answer:
The similarity statement is RTS and ACB. Other options are correct
If the dimensions of a pentagonal prism are quadrupled, then the surface area of the prism is multiplied by eight.
True False
Answer:
false
Step-by-step explanation:
the relationship between lengths/dimensions and areas is that areas are created by multiplying 2 dimensions.
when you quadruple (×4) the dimensions, then the areas are growing with the square of the factor (×4×4 = ×16), because the factor goes twice into the multiplication : one time for every dimension involved.
so, quadrupling the dimensions would multiply the areas by 16.
Integral of 1 /x+ sq.root x^2-1
I'm assuming the integral is
[tex]\displaystyle \int \frac{\mathrm dx}{x+\sqrt{x^2-1}}[/tex]
Rationalize the denominator:
[tex]\dfrac1{x+\sqrt{x^2-1}} \times \dfrac{x-\sqrt{x^2-1}}{x-\sqrt{x^2-1}} = \dfrac{x-\sqrt{x^2-1}}{x^2-\left(\sqrt{x^2-1}\right)^2} = x-\sqrt{x^2-1}[/tex]
Then the integral is
[tex]\displaystyle \int\left(x-\sqrt{x^2-1}\right)\,\mathrm dx = \dfrac12x^2 - \int\sqrt{x^2-1}\,\mathrm dx[/tex]
For the remaining integral, substitute x = sec(t ) and dx = sec(t ) tan(t ) dt. Then over an appropriate domain, we have
[tex]\displaystyle\int\sqrt{x^2-1}\,\mathrm dx = \int\sec(t)\tan(t)\sqrt{\sec^2(t)-1}\,\mathrm dt = \int\sec(t)\tan^2(t)\,\mathrm dt[/tex]
Integrate by parts, taking
u = tan(t ) ==> du = sec²(t ) dt
dv = sec(t ) tan(t ) dt ==> v = sec(t )
Then
[tex]\displaystyle\int\sec(t)\tan^2(t)\,\mathrm dt = \sec(t)\tan(t) - \int\sec^3(t)\,\mathrm dt[/tex]
Now for *this* remaining integral, integrate by parts again, taking
u = sec(t ) ==> du = sec(t ) tan(t ) dt
dv = sec²(t ) dt ==> v = tan(t )
so that
[tex]\displaystyle\int\sec^3(t)\,\mathrm dt = \sec(t)\tan(t) - \int\sec(t)\tan^2(t)\,\mathrm dt \\\\ \int\sec^3(t)\,\mathrm dt = \sec(t)\tan(t) - \int\sec(t)(\sec^2(t)-1)\,\mathrm dt \\\\ \int\sec^3(t)\,\mathrm dt = \sec(t)\tan(t) - \int\sec^3(t)\,\mathrm dt + \int\sec(t)\,\mathrm dt \\\\ \int\sec^3(t)\,\mathrm dt = \frac12\sec(t)\tan(t)+\frac12\int\sec(t)\,\mathrm dt \\\\ \int\sec^3(t)\,\mathrm dt = \frac12\sec(t)\tan(t) + \frac12\ln\left|\sec(t)+\tan(t)\right| + C[/tex]
To summarize, if I denotes the original integral, we have
[tex]\displaystyle I = \frac12x^2 - \int\sqrt{x^2-1}\,\mathrm dx \\\\ I = \frac12x^2 - \int\sec(t)\tan^2(t)\,\mathrm dt \\\\ I = \frac12x^2 - \sec(t)\tan(t) + \int\sec^3(t)\,\mathrm dt \\\\ I = \frac12x^2 - \sec(t)\tan(t) + \frac12\sec(t)\tan(t) + \frac12\ln\left|\sec(t)+\tan(t)\right| + C \\\\ I = \frac12x^2 - \frac12\sec(t)\tan(t) + \frac12\ln\left|\sec(t)+\tan(t)\right| + C[/tex]
Putting everything back in terms of x, we have
sec(t ) = x
tan(t ) = √(x ² - 1)
so that
[tex]\displaystyle I = \boxed{\frac12x^2 - \frac12x\sqrt{x^2-1}+\frac12\ln\left|x+\sqrt{x^2-1}\right|+C}[/tex]
Which is equivalent to x3y–7? x cubed y Superscript 7 StartFraction x cubed Over y Superscript 7 EndFraction StartFraction x cubed Over y Superscript negative 7 EndFraction StartFraction y Superscript 7 Over x cubed EndFraction
Answer:
[tex]x^3y^{-7} = \frac{x^3}{y^7}[/tex]
Step-by-step explanation:
Given
[tex]x^3y^{-7}[/tex]
Required
The equivalent
We have:
[tex]x^3y^{-7}[/tex]
Apply the following rule of exponents
[tex]a^{-b} = \frac{1}{a^b}[/tex]
So, we have:
[tex]x^3y^{-7} = x^3 * \frac{1}{y^7}[/tex]
[tex]x^3y^{-7} = \frac{x^3}{y^7}[/tex]
Answer:
the 2nd one or B
Step-by-step explanation:
A tank contains 150 liters of fluid in which 20 grams of salt is dissolved. Brine containing 1 gram of salt per liter is then pumped into the tank at a rate of 5 L/min; the well-mixed solution is pumped out at the same rate. Find the number A(t) of grams of salt in the tank at time t.
Answer:
the number A(t) of grams of salt in the tank at a time is A(t)=150-110e-t/50
please help me i'm being timed
Answer:
B. A linear, partial variation
Step-by-step explanation:
We know that speed = distance / time. From the table we have a linear function, and it's indirect, or partial.
a triangle has a base measuring 6 feet and a height measuring 8.3 feet. How many triangles of this area would fit inside a rectangle with a width 12 feet and a length of 33.2 feet?
Area of the triangle = 1/2 x base x height
Area of triangle = 1/2 x 6 x 8.3 = 24.9 square feet.
Area of rectangle = length x width
Area of rectangle = 33.2 x 12 = 398.4 square feet.
To find the number of triangles that can fit in the rectangle divide the area of the rectangle by the area of the triangle:
398.4 / 24.9 = 16
Answer: 16 triangles
How many degrees are in 25n/18?
Answer:
250°
There are 250°……………
Use what you know about sine, cosine, and tangent to solve for the missing angle.
Answer:
it is a 30 degree angle
Step-by-step explanation:
The fox population in a certain region has a continuous growth rate of 7 percent per year. It is estimated that the population in the year 2000 was 14300. (a) Find a function that models the population t years after 2000 (t=0 for 2000). Hint: Use an exponential function with base e. Your answer is P(t)
Answer:
P(t) = 14300e^0.07t
Step-by-step explanation:
Let :
Population as a function of years, t = P(t) ;
Growth rate, r = 7%
Estimated population on year 2000 = Initial population = 14300
The given scenario can be modeled using an exponential function as the change in population is based in a certain percentage increase per period.
P(t) = Initial population*e^rt
P(t) = 14300*e^(0.07t)
P(t) = 14300e^0.07t
Where, t = number of years after year 2000.
4 yards 2 feet 7 inches + 2 yards 1 foot 6 inches
what is the answer?
Answer:
6 yards 4 feet 1 inch
Step-by-step explanation:
First, we have the equation:
4 yards 2 feet 7 inches + 2 yards 1 foot 6 inches
Now, let's add each:
6 yards
3 feet
13 inches
But 13 inches would be 1 foot and 1 inch, so now we have plus 1 foot and replace the inches with just 1 inch:
6 yards
4 feet
1 inch
There you have it!
Happy learning!
--Applepi101
Answer:
7 yds 1 ft 1 inch
Step-by-step explanation:
4 yards 2 feet 7 inches
+ 2 yards 1 foot 6 inches
------------------------------------------
6 yards 3 feet 13 inches
13 inches is more than 12 inches ( =1 ft) so subtract 12 inches and add 1 ft
6 yards 3 feet 13 inches
=1 ft - 12 inches
-----------------------------------------
6 yds 4 ft 1 inches
4 ft is more than 3f which is 1 yd ( subtract 3 ft and add 1 yd)
6 yds 4 ft 1 inches
+1 yd - 3ft
------------------------
7 yds 1 ft 1 inch
