Answer:
The first law: multiplication. If the two terms have the same base (in this case. ...
The second law: division. If the two terms have the same base (in this case. ...
The third law: brackets. If a term with a power is itself raised to a power then the powers are multiplied together. ...
Negative powers. ...
Power of zero. ...
Fractional powers.
Step-by-step explanation:
A triangle as a height of 18 cm and a base of 3.5 cm what is the area of the triangle
Answer:
31.5
Step-by-step explanation:
The area of a triangle is 1/2 * b * h
so base times height times one half
Answer:
31.5 cm²
Step-by-step explanation:
(18 · 3.5) ÷ 2
63 ÷ 2
31.5
6th grade, the problem solving is on the image
Answer:
y = x + 3
Step-by-step explanation:
Equation of the line can be written as y = mx + b (slope-intercept form)
Let's find the slope (m) and the y-intercept (b)
Slope (m) = change in y/change in x
Using two points on the line, (0, 3) and (1, 4),
Slope (m) = (4 - 3)/(1 - 0) = 1/1
m = 1
y-intercept (b) = 3 (the coordinate of the point where the y-axis is intercepted by ye line)
To write the equation, substitute m = 1 and b = 3 into y = mx + b
y = 1(x) + 3
y = x + 3
PLEASE ANSWER ASAP FOR BRAINESLT!!!!!!!!
Mrs. Lee randomly surveyed 25 of her 125 students about their pets. Her survey indicate that 14 students have a dog, 7 students have a cat, 2 students have another kind of pet, and 8 students have no pet. (Note that some students have more than one pet). What is Mrs. Lee's best estimate of the total number of her students who have a dog?
A. 70
B. 35
C. 10
D. 40
Answer: Hello! When I tried solving the problem and I got the answer of 70.
Step-by-step explanation:
So, 14 out of the 25 kids have a dog. If you were to have 125 kids which if 5 times the first 25 kids it would be 14 x 5 which is 70.
i need help pls!
this test is about angles, and i am having trouble with it.
Answer:
supplementary angle
Step-by-step explanation:
angles 6 and 8 are same side exterior angles
Walker invests $4,200 in a savings account earning 8% interest compounded yearly. What will the account balance be after 7 years?
Answer:
2,562
Step-by-step explanation:
8% of 4,200 is 366, 366×7=2,562
Hope This Helps!
Using Cavalieri's Principle, what is the general formula for the volume of a cone?
Answer:
The volume for a cone and pyramid are the same, V = 1/3 Bh where B is the area of the base.
Step-by-step explanation:
So even though the base is a different shape, as long as the areas and heights are the same, they will have the same volume.
20) A water sprinkler uses 12.9 gallons of water per minute. How many gallons of water will it use in 36,5 minutes?
a)470.85
B) 480.85
c)4708.5
D) 4808.5
Answer:
b
Step-by-step explanation:
Answer: D. Hope It helps!!!!!
Here is the problem for you :)
Answer:
Angle Y:
Sin(Y) = 36/39, if simplified: 12/13, in decimal it would be: 0.92Cos(Y) = 15/39, if simplified: 5/13, in decimal it would be: 0.38Tan(Y) = 36/15, if simplified: 12/5, in decimal it would be: 2.4Angle X:
Sin(X) = 15/39, if simplified: 5/13, in decimal it would be: 0.38Cos(X) = 36/39, if simplified: 12/13, in decimal it would be: 0.92Tan(X) = 15/36, if simplified: 5/12, in decimal it would be: 0.42Hope this helps!
Please answer the question correctly with factual information for brainliest.
Find the x and y intercept of the equation -2x+4y=12
Answer:
x and y intercept
x —> (–6,0)
y —> (0, 3)
The number of hours, t, that bacteria spread 10-fold can be modeled by the equation B(t) = B0(10)4t. There are 50 bacteria present initially and a biologist wishes to find out how many hours will elapse until there are 10,000 bacteria present. What is the exact value for the number of hours elapsed, t, in the equation 10,000 = 50(10)4t?
Answer:
t = (log200)/4 hours
Step-by-step explanation:
10,000 = 50(10)^(4t)
Divide both sides by 50
200 = 10^(4t)
Take the log of both sides
log200 = 4t
Divide both sides by 4
(log200)/4 = t
t = (log200)/4 (exact answer)
t ≈ 0.575257498915995 (numeric approximation)
A department store, on average, has a daily sales of $28,176.44. The standard deviation of sales is $1500. On Tuesday, the store sold
$34,083.30 worth of goods.
Find Tuesday's z score
Answer:
You are t subtract both 28,176.44-$1500
Step-by-step explanation:
right after that the answer you get for subtraction you go ahead and use it to subtract with 34,083.30
What is the slope of the following graph?
What is the rule for the number pattern below ?950,800,650,500,350
(05.05 HC) Figure ABCD has vertices A(-4, 1), B(2, 1). C(2, -5), and D(-4, -3). What is the area of figure ABCD?
A:24
B:30
C:36
D:45
Answer:
The answer is A
Step-by-step explanation:
I got it right on the test.
tina solved a quadratic equation and found the solution to be -3/2 and 6 which of the following is equivalent to the quadratic equations that tina solved
Answer:
[tex]x^2-\dfrac{9}{2}x-9=0[/tex]
Step-by-step explanation:
The solutions of a quadratic equation are :
x = -3/2 and x = 6
or we can write it as :
[tex]x+\dfrac{3}{2}=0\ and\ x-6=0\\\\(x+\dfrac{3}{2})(x-6)=0[/tex]
Multiplying both values,
[tex](x+\dfrac{3}{2})(x-6)=0\\\\x^2-6x+\dfrac{3}{2}x-9=0\\\\x^2-\dfrac{9}{2}x-9=0[/tex]
Hence, the required quadratic equation is [tex]x^2-\dfrac{9}{2}x-9=0[/tex].
An air traffic controller spots two airplanes at the same altitude converging to a point as they fly at right angles to each other. One airplane is 70 miles from the point and has a speed of 280 miles per hour. The other is 240 miles from the point and has a speed of 960 miles per hour. (a) At what rate is the distance between the planes changing
Answer:
DL/dt = 1000 miles/hour
Step-by-step explanation:
Let´s call A Point for the airplane at 70 miles from the point O (converging point), and point B for the airplane at 240 miles from point O.
Then the three-points A, B, and O shape a right triangle with legs (distances from each of the airplane to point O, and hypotenuse L distance between the two airplanes
Then according to Pithagoras´theorem:
L² = (AO)² + (BO)²
At the moment t when the airplanes are far away as 70 and 240 miles per hour
L² = (70)² + ( 240)²
L² = 4900 + 57600
L = √62500
L = 250 miles
In general
L² = x² + y²
That equation is always valid for a right triangle if the airplanes are approaching keeping the right triangle shape then:
L² = x² + y² where x and y are the legs ( that legs change in time then):
Tacking derivatives on both sides of the equation
2*L*DL/dt = 2*x*Dx/dt + 2*y*Dy/dt
By substitution: since Dx/dt = 280 m/h and Dy/dt = 960 m/h
2*(250)*DL/dt = 2*70*280 + 2*(240)*960
500*DL/dt = 39200 + 460800
DL/dt = 500000/ 500
DL/dt = 1000 miles/hour
Given the right angle triangle shown here, calculate:
1. a) sin(a)
17
2. a) sin(b)
8
b) cos(a)
b
b) cos(b)
15
c) tan(a)
c) tan(b)
Write trig. ratios for each.
Answer:
see explanation
Step-by-step explanation:
(1)
(a)
sin(a) = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{15}{17}[/tex]
(b)
cos(a) = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{8}{17}[/tex]
(c)
tan(a) = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{15}{8}[/tex]
----------------------------------------------------
(2)
(a)
sin(b) = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{8}{17}[/tex]
(b)
cos(b) = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{15}{17}[/tex]
(c)
tan(b) = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{8}{15}[/tex]
What is the midpoint of the line with endpoints (3,-2) and (-3,6)
(0, 2)
Step-by-step explanation:
The coordinates of the midpoint of a line segment is given by
[(x2 + x1)/2 , (y2 + y1)/2]
Let P1 = (3, -2) and P2 = (-3, 6)
x-coordinate:
(1/2)(x2 + x1) = (1/2)[(-3) + 3] = 0
y-coordinate:
(1/2)(y2 + y1) = (1/2)[6 + (-2)] = 2
Therefore, the coordinates of the midpoint whose endpoints are (3, -2) and (-3, 6) are
(0, 2)
A sphere shaped orange has a diameter of 7 centimeters. Find the volume of the orange to the nearest tenth.
22cm^3
Step-by-step explanation:
My education system is different so I dont know what nearest tenth would mean in this .
But going mathematically:
Its diameter is 7 centimetres.
So to find its volume we can use the formula pi/d or pi/r^2
Now, 22/7÷7 would be 22cm³.
The slope of the line below is 0.4. Write the equation of the line in point-slope
form, using the coordinates of the labeled point. Do not use parenthesis on
the y side.
(-5, -3)
How do I get the answer to 45.27 x 62.3?
Answer:
2820.321
Here’s how the multiplication works:
Perform the multiplication just as you would for whole numbers.
When you’re done, count the number of digits to the right of the decimal point in each factor and add the results.
Place the decimal point in your answer so that your answer has the same number of digits after the decimal point.
Step-by-step explanation:
Mark me brainliest!
what is the sum of 5/12 and 4/9
Answer: 31/36
Step-by-step explanation:Add them up..5/12+4/5 you need to convert to a common denominator. Common denominator is 36; 15/36+16/36=31/36
Answer:
[tex]\frac{31}{36}[/tex]
Step-by-step explanation:
To get the sum you have to have the same denominator.
So you have to find out what can 12 and 9 go into without leaving a remainder which is 36.
Then you divide 36 by 12= 3 and 36 by 9= 4
Then you multiply 3 by 5= 15 and 4 by 4= 16
You add then up and you get 31
So 31/36 is the answer.
There are $5$ girls and $5$ boys in a chess club. The club holds a round-robin tournament in which every player plays against every other player exactly once.
If Anita is one of the club members, what fraction of all games at the tournament does Anita play in? Enter your answer as a fraction in simplified form.
Answer: 5
Step-by-step explanation:
plz help i will give brainliest!! and if you post a link im going to report you
Answer:
hey, sorry i cant see the image so whats the problem here? i would gladly help!
Step-by-step explanation:
[tex] \large \sf \blue{Find \: the \: H.C.F \: of : }[/tex]
[tex] \sf \purple{➪ \: 84 \: and \: 156}[/tex]
Answer:
[tex] \large \sf \blue{Find \: the \: H.C.F \: of : }[/tex]
[tex] \sf \purple{➪ \: 84 \: and \: 156}[/tex]
Calculator
A normal distribution has a mean of 102 and a standard deviation of 2.9.
What is the z-score of 105?
Enter your answer, rounded to the nearest hundredth, in the box.
Answer:
the z score of 105 is 1.03
Step-by-step explanation:
Given that
the mean is 102
And, the standard deviation is 2.9
We need to find the z score of 105
As we know that
Z score = (Observed value - mean) ÷ standard deviation
= (105 - 102) ÷ 2.9
= 1.03
Hence, the z score of 105 is 1.03
The same would be considered and relevant
Determine the Surface area of the box (Show work)
Answer:
Step-by-step explanation:
Ok. If this is surface area we will have to multiply all the areas together. So, 12 x 8 x 2 = 192. Your answer will be 192.
You can paint a room in 8 hours. Working together, you and a friend could paint the same room in just 5 hours. How long would it take your friend to paint the room alone.
Answer:
friend alone could do it in 13 hours and 1/3
Step-by-step explanation:
Your rate = room/8
friends rate = room/x
combined rate = room/8 + room/x
= room(x+8)/(8x)
then
5 = room / [room(x+8)/(8x)]
5 = 8x/(x+8)
8x = 5x + 40
3x = 40
x = 40/3 = 13 1/3
friend alone could do it in 13 hours and 1/3
if a graph shows no solution what is the inequality
If the number on the other side of the inequality sign is negative, your equation either has no solution or all real numbers as solutions. Use the sign of each side of your inequality to decide which of these cases holds. If the number on the other side of the inequality sign is positive, proceed to step 3.