Answer:
1. 3³
2. (-5)⁴
3. 3¹⁰
4. 4⁰
Step-by-step explanation:
When multiplying exponents with the same base, you add the exponents. When dividing exponents with the same base, you subtract the exponents. When raising a number with an exponent to another power, multiply the exponents.
1. [tex]\frac{3^4*3^6}{3^2*3^5} =\frac{3^{10}}{3^7}=3^3[/tex]
2. [tex]\frac{(-5)^{12}}{(-5)^3*(-5)^5} =\frac{(-5)^{12}}{(-5)^8}=(-5)^4[/tex]
3. [tex](3^2)^5=3^{10}[/tex]
4. [tex]\frac{4^0*4^4}{4^1 * 4^3} =\frac{4^4}{4^4}=4^0[/tex]
Plz help me out with these problems.
a) Write 0.35 as a fraction in its simplest form.
b) Write 3/8 as a decimal.
c) A rectangular carpet measures 12m by 5m. Part of the carpet is covered by square rug of length 2m. What fraction of the carpet is covered by the rug? Give your answer in the simplest form.
Answer:
a.) 7/20
b.) 0.375
c.) 1/15
Step-by-step explanation:
a. 0.35 is out of 1, so to find 0.35 in fraction form: 35/100.
Simplify that down by dividing both top-bottom by 5 and you get 7/20
b. 1/8th of anything is 0.125, so 0.125(3) = 0.375. Alternatively you can use a calc to calculate the decimal.
c. Find the area of the rectangular carpet: 60m. Then find the area of the square rug: 4m
Find the fraction: 4/60
Simplify by dividing top-bottom by 4 and you get 1/15
What is the answer...?
Answer:
I think it's 1/2 because it might be right
Select the polynomial that is a perfect square trinomial.
36x2 - 4x + 16
16x2 - 8x + 36
25x2 + 9x + 4
4x2 + 20x + 25
none of the above
Step-by-step explanation:
36x²-4x+16 = (6x)²- 2*2*x+ 4² this isn't a perfect square trinomial 16x²-8x+36 = (4x)² - 2*4*x+6² this isn't a perfect square trinomial 25x²+9x+4= (5x)²+2* 9/2 *x+ 2² this isn't a perfect trinomial 4x²+20x+25 = (2x)² + 5*4*x+5² this isn't a perfect trinomial squareAnswer:
option c
Step-by-step explanation:
someone help with my math
Answer: height = 1.16 ft
Step-by-step explanation:
14 inches = 1.17 feet
Height of the oven =
Height = volume / lw
H = 1.59 / 1.17*1.17
H = 1.16 feet
Answer:
a. 3.25 m
b.1.2 ft
Solution,
a. Let 'h' be the height of cylinder
Given,
Radius(r)=0.7 m
Volume(v)=5 m^3
Formula to find volume of cylinder
[tex]\pi {r}^{2} h[/tex]
where r= radius and h= height
so,
[tex] \frac{22}{7} \times 0.7 \times 0.7 \times h = 5 \\ or \: h = \frac{5 \times 7}{22 \times 0.7 \times 0.7} \\ or \: h = \frac{35}{22 \times 0.49} \\ or \: h = \frac{35}{10.78} \\ h = 3.25 \: m[/tex]
b.
[tex]volume = 1.59 = \frac{14}{12} \times \frac{14}{12} \times h \\ 1.59 = \frac{ {14}^{2} }{144} \times h \\ h = \frac{1.59 \times 144}{196} \\ h = 1.168 \: ft \\ h = 1.2 \: ft[/tex]
hope this helps...
Good luck on your assignment...
Find the midpoint between each pair of points. (4,7) (2,9)
PLEASE HELP!!!
Answer:
The midpoint is (3,8)
Step-by-step explanation:
To find the x coordinate of the midpoint, add the two coordinates together and divide by 2
( 4+2)/2 = 6/2 = 3
To find the y coordinate of the midpoint, add the two coordinates together and divide by 2
( 7+9)/2 = 16/2 = 8
The midpoint is (3,8)
Find using synthetic division.
Answer:
x² + 13x + 50 + [tex]\frac{57}{x-5}[/tex]
Step-by-step explanation:
Using Synthetic division
divisor is (x - 5) , thus evaluate at h = 5
5 | 1 8 - 25 - 193
5 65 250
-----------------------------
1 13 50 57 ← remainder = 57
The coefficients of the quotient are 1, 13, 50 , that is
x² + 13x + 50
Thus
[tex]\frac{x^3+8x^2-25x-193}{x-5}[/tex] = x² + 13x + 50 + [tex]\frac{57}{x-5}[/tex]
The radius of the circle shown below is 17 yards. What is the length
of the 300 degree arc?
Round your answer to the nearest whole number.
17 yd
300°
Answer:
The length of the arc is 89 yards
Step-by-step explanation:
Mathematically, to find the length of an arc, we use the formula below;
Length of an arc = Theta/360 * 2 * pi * r
In this case, Theta = 300 and r = 17 yards
Length of the arc = 300/360 * 2 * 22/7 * 17 = 89.047619047583 which is 89 yards to the nearest yard
Non-
n
14. Two packages weigh 3.92 pounds and
2.8 pounds. How many times heavier
is the first package than the second?
07 times
Hey there!
Let's think of this with a simpler example. Let's say one package is 4 pounds and one is 2 pounds. How many times heavier is the first than the second?Well, two, because the first package is double the weight of the second package! It's twice as heavy! And to get to that number, we divide four by two!
So, in our actual problem, we just divide 3.92 (bigger package) by 2.8 (smaller package).
3.92÷2.8=1.4
So, the first package is 1.4 times heavier than the first one!
Have a wonderful day!
44: PLEASE HELP Find the x-intercepts of -x+2y=14. X intercept:(___,0)
Answer:
(-14,0)
Step-by-step explanation:
-x+2y=14 to find the x intercept means y=0
-x+0=14
x=-14
Marcie can mow 9 lawns every 14 hours. How many lawns can she mow in 49 hours?
Answer:
Number of lawns mow in 49 hours = 31.5 lawns
Step-by-step explanation:
Given:
Number of lawns mow = 9
Time taken = 14 hours
Find:
Number of lawns mow in 49 hours
Computation:
Time taken for 1 lawn = 14 / 9
Number of lawns mow in 49 hours = 49 / Time taken for 1 lawn
Number of lawns mow in 49 hours = 49 / (14/9)
Number of lawns mow in 49 hours = 31.5 lawns
Solve for xif mZRQS = 2x+4 and mZTQS = 6x+ 20.
180
19.5
-4
90
Answer:
x= -4
Step-by-step explanation:
2x+4=6x+20
so 2x-6x=20-4
divide both sides by -4
-4x/-4 = 16/4
=-4
In need of an answer (giving brainliest)
Answer:
The answer is D.
Step-by-step explanation:
The lateral surface area of a 3-D figure is the area of each face that is NOT a base.
Please answer this question now in two minutes
Answer:
the correct answer is (b).........
Answer:
ABC = 140
Step-by-step explanation:
ABD = 70
ABD = DBC since it is bisected
ABC = ABD + DBC
= 70+70
ABC = 140
Please answer this fast in 2 minutes
Answer: angles EBA and HBI are congruent
Step-by-step explanation:
they are the congruent because they are verticle angles
I am really struggling with this question. please help.
Answer:
y = -2/3x + 1
Step-by-step explanation:
Step 1: Find slope
m = (-1 - 3)/(3 + 3)
m = -2/3
y = -2/3x + b
Step 2: Find b
-1 = -2/3(3) + b
-1 = -2 + b
b = 1
Step 3: Write equation
y = -2/3x + 1
HELP PLEASE! Thank you!
Answer:
See attached graph for the first part
Answer to second part: The end part of the graph show the slowest increase
Step-by-step explanation:
The attached picture represents the number of infected people, starting with a relatively small number at the origin of the horizontal axis (x=0, or time=0) then increasing abruptly in the center of the graph with steep slope. and then infection slowing down (although still slowly increasing) in the region highlighted in yellow to the right of the graph.
There are 300 students in the seventh grade at Lincoln Middle School. When the students voted on new school colors, 65% of the seventh graders voted for the combination of blue and silver. How many seventh graders voted for the blue and silver color combination?
Answer:
195 students voted for the blue and silver color combination.
Step-by-step explanation:
First, you have to convert 65% to a decimal ( You should get 0.65 ).
Next, you multiply 300 by the decimal ( 0.65 )
You should get 195, so that's how many people voted for the blue and silver color combination.
Answer:
195
Step-by-step explanation:
what was Tomas's first error
Answer:
6 + 6y + 6 = 12 + 6
Step-by-step explanation:
2(3) + 6y = 12
Multiply 2(3).
6 + 6y = 12
Subtract 6 on both sides, so y variable is isolated.
6 + 6y - 6 = 12 - 6
6y = 6
Divide by 6 on both sides.
6y/6 = 6/6
y = 1
A. Fill in the boxes :
8 tens + 19 ones = 9 tens +
ones
8 tens + 2 ones = 7 tens +
ones
7 tens + 25 ones = 9 tens +
ones
70 + 11 = 80 +
50 +
= 60 + 3
90 + 13 =
+ 3
Step-by-step explanation:
it's simple:
8 tens + 19ones = 9 tens + 9 ones8 tens + 2 ones =7 tens+12 ones7 tens +25 ones = 9 tens + 5 ones70+11=80+150+13=60+390+13=100+3the altitude of the hypotenuse of a right triangle divides the hypotenuse into segments of lengths 14 and 8. what is the length of the altitude.
Answer:
B. [tex] 4\sqrt{7}[/tex]
Step-by-step explanation:
The right triangle altitude theorem states that the altitude of a right angled triangles formed on the hypotenuse is equal to the geometric mean of the 2 line segments it creates.
This can be represented as:
[tex] h = \sqrt{(xy)} [/tex]
Where,
h = the length of the altitude,
x and y are the lengths of the 2 segments formed.
Therefore, the length of the altitude = [tex] h = \sqrt{(14*8)} [/tex]
[tex] h = \sqrt{112} [/tex]
[tex] h = \sqrt{16}*\sqrt{7}[/tex]
[tex] h = 4\sqrt{7}[/tex]
Anthony recorded the heights and weights of the 15 boys in his class. Then he drew the scatter diagram shown below using the information.
Answer:
a)(140,57)
b)positive correlation
c)155cm (Give or take)
Step-by-step explanation:
a) find the outlier which doesn't follow the pattern as the rest
find the coordinates.(140,57)
b)all of the results follow a positive pattern when weight increases so does the height.
c)draw a line of best fit and draw a line from 45kg out to that line and follow I'd down towards weight to find an estimated amount.
hope this helps
The outlier point is (140,57), the correlation type is a positive correlation and the estimated height of the student is 154 cm
The outlierThis is the point that is far from other points in the scatter plot.
From the given graph, the point (140,57) is far from others.
Hence, the outlier point is (140,57)
The correlation typeFrom the graph, we can see that the points increase towards the right.
This represents a positive correlation
Hence, the correlation type is a positive correlation
Estimated height of a student
The weight is given as:
Weight = 45 kg
From the graph, the closest points to y = 45 are
x = 148, 153, 156 and 158
The mean of these values is 154.
Hence, the estimated height of the student is 154 cm
Read more about scatter plots at:
https://brainly.com/question/6592115
#SPJ6
1. If 48% students in the college are Female
if there are 5000 students in the college what
are the numbers ch female of male ;
Answer:
2600
Step-by-step explanation:
the number of female : 5000*48%= 2400 female
males =5000-2400=2600 0r 52%
please help me I really need help
Answer:
NS ≈ 79.3 m∠PNS ≈ 30.3°Step-by-step explanation:
The length PN is the diagonal of a rectangle that is 33 m by 60 m. Its length can be found from the Pythagorean theorem.
PN² = 33² +60² = 4689
PN = √4689 ≈ 68.476 . . . meters
Diagonal NS is the hypotenuse of triangle PNS. Once again, the Pythagorean theorem can be used to find its measure.
NS² = PN² +PS² = 4689 +1600 = 6289
NS = √6289
NS ≈ 79.3 . . . meters
__
We have the side adjacent (PN) and the side opposite (PS) to angle PNS, so we can use the tangent function to find the angle:
tan(PNS) = NS/PN = 40/68.476
∠PNS = arctan(40/68.476)
∠PNS ≈ 30.3°
Simplify (7^5)^3 please
Answer:
7^15
Step-by-step explanation:
(7^5)^3
We know that a^b^c = a^(b*c)
(7^5)^3 = 7^(5*3)
= 7^15
A circular traffic island "roundabout" in Road Town has a radius of 12.5 m. If you drove around it twice, what would be the distance you traveled?
Answer:
About 157 meters
Step-by-step explanation:
The circumference of a circle is [tex]2\pi r[/tex]. In this case, this means that one loop around the roundabout would be a distance of:
[tex]2\cdot \pi \cdot 12.5\approx 78.5[/tex]
Multiplying this by 2, you get a distance of about 157 meters. Hope this helps!
Answer:
157.14 mSolution,
1 round = circumference
[tex]2\pi \: r[/tex]
[tex] = 2 \times \frac{22}{7} \times 12.5[/tex]
[tex] = \frac{44}{7} \times 12.5[/tex]
Required distance covered:
[tex]2 \times \frac{44}{7} \times 12.5 \\ = \frac{88 \times 12.5}{7} \\ = 157.14 \: m[/tex]
hope this helps..
Good luck on your assignment...
Explain why the graphs of reciprocals of linear functions (except horizontal ones) always have vertical asymptotes,
but the graphs of reciprocals of quadratic functions sometimes do not.
Answer:
The reason is because linear functions always have real solutions while some quadratic functions have only imaginary solutions
Step-by-step explanation:
An asymptote of a curve (function) is the line to which the curve is converging or to which the curve to line distance decreases progressively towards zero as the x and y coordinates of points on the line approaches infinity such that the line and its asymptote do not meet.
The reciprocals of linear function f(x) are the number 1 divided by function that is 1/f(x) such that there always exist a value of x for which the function f(x) which is the denominator of the reciprocal equals zero (f(x) = 0) and the value of the reciprocal of the function at that point (y' = 1/(f(x)=0) = 1/0 = ∞) is infinity.
Therefore, because a linear function always has a real solution there always exist a value of x for which the reciprocal of a linear function approaches infinity that is have a vertical asymptote.
However a quadratic function does not always have a real solution as from the general formula of solving quadratic equations, which are put in the form, a·x² + b·x + c = 0 is [tex]\dfrac{-b \pm \sqrt{b^{2} - 4\cdot a\cdot c}}{2\cdot a}[/tex], and when 4·a·c > b² we have;
b² - 4·a·c < 0 = -ve value hence;
√(-ve value) = Imaginary number
Hence the reciprocal of the quadratic function f(x) = a·x² + b·x + c = 0, where 4·a·c > b² does not have a real solution when the function is equal to zero hence the reciprocal of the quadratic function which is 1/(a·x² + b·x + c = 0) has imaginary values, and therefore does not have vertical asymptotes.
PLS HELP AND ANSWER ASAPPP (i). A line “t” is parallel to 3y = 6x + 9. Find the slope of this line “t”. (ii) Another line “r” is perpendicular to the line 3y = 6x + 9. Find the gradient of the line “r'...
Answer:
1) 2 (11) - 1/2
Step-by-step explanation:
Given the following:
A line “t” is parallel to 3y = 6x + 9
Equation of a line;
y = mx + c
Where the Coefficient of x, 'm' is the gradient or slope and c is the intercept.
From the equation;
3y = 6x + 9
Divide through by 3
y = 2x + 3
Comparing the line equation with the equation provided :
Coefficient of x = 2, therefore 2 = slope
Since line t is Parallel to y = 2x + 3
Then, slope of line 't' is the same as that of y:
Slope of line 't' = 2
(11) For perpendicular lines :
Slope of original line : 3y = 6x + 9
Divide through by 3
y = 2x + 3
Compare to line equation:
y = mx + c
m = gradient/ slope, c = intercept
Gradient of original line, m = 2
For a line 'r' perpendicular to y = 2x + 3
Gradient, m of line r equals to the negative reciprocal of the gradient of original line
Therefore, gradient of r equals :
-1/2
fgjxgfjvcskutfysfbisylvgkai. is this right that i did???????????????????????????????? dont look it up
Answer: NO. He had an increase of 25%
Step-by-step explanation:
To find the percentage increase, use the following formula where New (this week) = 25 and Original (last week) = 20.
[tex]\% Change=\dfrac{\text{New - Original}}{\text{Original}}\\\\\\.\qquad \qquad =\dfrac{25-20}{20}\\\\\\.\qquad \qquad =\dfrac{5}{20}\\\\\\.\qquad \qquad =\dfrac{1}{4}\qquad \rightarrow \qquad =0.25[/tex]
Convert the decimal into percentage by moving the decimal point two places to the right. 0.25 = 25%
Evan spent 25% more time this week than last week.
It can also be stated that this week Evan did 125% of homework compared to last week.
If Even spent 125% more than last week, he would have spent 100% (20 hours) + 25% (4 hours) = 24 hours.
On a coordinate plane, triangle Q R S has points (negative 9, 5), (6, 10), and (2, negative 10). Find the area of the triangle QRS.
Answer:
140 square units
Step-by-step explanation:
The areas of the three right triangles are subtracted from the area of the entire box. This gives you 140 square units.