Answer:
4.2 x 10^9
1 x 10^9
7.4 x 10^8
6 X 10^8
3.7 X 10^7
Step-by-step explanation:
The higher the exponent the bigger it is, so arrange by powers first
1 x 10^9
4.2 x 10^9
7.4 x 10^8
6 X 10^8
3.7 X 10^7
Now put the numbers in order from biggest to smallest within exponent powers
4.2 is greater than 1 and 7.4 is greater than 6
4.2 x 10^9
1 x 10^9
7.4 x 10^8
6 X 10^8
3.7 X 10^7
The diagram below shows two circles which have the same centre O and radii 16 cm and
10 cm respectively. The two arcs AB and CD have the same sector angle 8 =1.5 radians.
В
Find the area of the shaded region.
Answer:PPlEASeee
Step-by-step explanation:
3/11÷3/11 what is the answer
Answer:
1
Step-by-step explanation:
3/11 / 3/11
=3/11 * 11/3
=1
Which is solution to the question (x-3)(x-5)=35
X = -8
X = -5
X = 2
X = 10
answer these question
SOLVE these
1.(5x + 3 = x + 11)
2.(7x - 2 = 5x +14)
3.(18x - 15 - 12x + 16)
4.(9x - 19 = 2x - 5)
Answer:
x =2x = 8 x= 5.1667x =2Step-by-step explanation:
I hope it helps
What is the algebraic expression for the area of this house block?
Answer:
x² + 27x + 180
Step-by-step explanation:
(12 + x)(15 +x) = 12*15 + 12x + 15x + x² = x² + 27x + 180
solve f(x)=−3(x+1)(x−5)
Answer:
x=-1 x=5
Step-by-step explanation:
f(x) =−3(x+1)(x−5)
0 = −3(x+1)(x−5)
Using the zero product property
x+1 = 0 x-5=0
x=-1 x=5
what quadrilaterals have all the attributes of a parallelogram
Answer:
Rectangles, squares, and rhombus are quadrilaterals that have attributes of a parallelogram.
Step-by-step explanation:
After travelling 2/5 of a Journey
a driver found that he had
60km
more to go
find the length
of the whole Journey?
Answer:
= 100 km
Step-by-step explanation:
Total length = 5/5
Covered length = 2/5
Remaining length = 5/5 - 2/5 = 3/5
If 3/5 = 60 km
What about 5/5 = ?
= 5/5 x 60 x 5/3 (reciprical)
= 60 x 5/3
= 300/3
= 100 km
Covered distance = 100 - 60 = 40 km
Pablo is simplifying the expression below.
Negative one-fourth (8 x + 12) minus (negative 2 x + 5)
He used the steps below to simplify the expression.
Negative one-fourth (8 x + 12) minus (negative 2 x + 5) = negative 2 x minus 3 + 2 x minus 5 = negative 8
Which statement is true about the steps that Pablo used to simplify the expression?
He combined like terms inside the parentheses, distributed Negative one-fourth over (8 x + 12), and then combined the remaining like terms.
He combined like terms inside the parentheses, distributed Negative one-fourth over (Negative 2 x + 5), and then combined the remaining like terms.
He distributed Negative one-fourth over (8 x + 12), distributed 1 over (Negative 2 x + 5), and then combined like terms.
He distributed Negative one-fourth over (8 x + 12), distributed –1 over (Negative 2 x + 5), and then combined like terms.
Answer:
D. He distributed Negative one-fourth over (8 x + 12), distributed –1 over (Negative 2 x + 5), and then combined like terms.
Step-by-step explanation:
We know that when using the distributive property, you have to multiply the outside value with the inside value and then either subtract or add.
You can combine like terms first, but that is only if there are like terms inside the parentheses. In this case, there are not, so you would distribute first.
So, to do that, you have to first distribute -1/4 to the 8x+12 and then distribute the -1 to the -2x+5. (note that they did not include the 1, but it is still there)
So, it is D
if a square+ b square+ c square=90, a+b+c=20 find the value of ab+bc+ca
Answer: ab + bc + ac = 155
Step-by-step explanation:
Given: a² + b² + c² = 90 and a + b + c = 20
Square the second equation, subtract it from the first equation, then simplify.
Square the second equation:
(a + b + c)² = 20²
a² + b² + c² + 2ab + 2bc + 2ac = 400
Subtract the equations:
a² + b² + c² + 2ab + 2bc + 2ac = 400
- (a² + b² + c² = 90)
2ab + 2bc + 2ac = 310
Simplify:
2(ab + bc + ac) = 310
÷2 ÷2
ab + bc + ac = 155
What is the mean of this data set? {10, 15, 12, 6, 2}
A rental company rents a luxury car at a daily rate of $38.93 plus $.50 per mile. Paul is allotted $120 for car rental each day. Write an equation to represent the cost
C of renting a car and driving x miles. How many miles can Paul travel on the $120?
Which equation represents the cost of renting a car and driving x miles?
A. 38.93=C+0.50x
OB. C= 38.93 +0.50x
O c. 38.93 = CX +0.50
OD: C = 38.93x +0.50
Answer:
Paul can drive 162.14 miles a day for the budget of 120 dollars.
OB. C=38.93+0.50x
Step-by-step explanation:
120=C
120=38.93+0.50x
81.07=0.50x
162.14=x
Point b has coordinates (-8,15) and lies on the circle whose equation is x^2+y^2=289. If an angles is drawn in standard position with its terminal ray extending through point b, what is the cosine of the angle?
Answer:
[tex]\cos \theta=-\dfrac{8}{17}[/tex]
Step-by-step explanation:
Coordinates of Point b[tex]=(-8,15)[/tex]
b lies on the circle whose equation is [tex]x^2+y^2=289[/tex]
[tex]x^2+y^2=17^2[/tex]
Comparing with the general form a circle with center at the origin: [tex]x^2+y^2=r^2[/tex]
The radius of the circle =17 which is the length of the hypotenuse of the terminal ray through point b.
For an angle drawn in standard position through point b,
x=-8 which is negative
y=15 which is positive
Therefore, the angle is in Quadrant II.
[tex]\cos \theta=\dfrac{Adjacent}{Hypotenuse} \\$Adjacent=-8\\Hypotenuse=17\\\cos \theta=\dfrac{-8}{17} \\\cos \theta=-\dfrac{8}{17}[/tex]
Calculate the average rate of change of a function over a specified interval.
Which expression can be used to determine the average rate of change in f(x) over the interval 2, 9?
On a coordinate plane, a curve opens down and to the right. The curve starts at (0, 0) and goes through (1, 3), (4, 6), and (7, 8).
f(9 – 2)
f(9) – f(2)
StartFraction f (9 minus 2) Over 9 minus 2 EndFraction
StartFraction f (9) minus f (2) Over 9 minus 2 EndFraction
Answer:
D
Step-by-step explanation:
on edge
Answer:
D
Step-by-step explanation:
What is the slope of the line given by the equation y = -2x?
Answer: -2
Step-by-step explanation: This equation is written in y = mx + b form.
The slope is the multiplier or the coefficient of
the x-term whcih in this case is -2/
Answer:
-2
Step-by-step explanation:
slope is number next to x in equation y = mx + b
Help me PLEASEEE I need help
Answer:
area of shaded portion=56 - 1/2 ×3×4=56-6= 50 yd^2
f(x) = 4^x-
2; find f(1)
Answer:
f(1) =2
Step-by-step explanation:
f(x) = 4^x- 2
Let x=1
f(1) = 4^1 -2
=4-2
=2
A square has a diagonal that measures 6 inches. Which of the following is the length of its perimeter?
(1) 8/3
(2) 1272
(3) 673
6 inches
(4) 1872
PLEASE HELP
Answer:
Perimeter of square = [tex]12\sqrt{2}\,\,inches[/tex].
None of the given options is correct
Step-by-step explanation:
Given: Length of diagonal of the square = 6 inches
To find: perimeter of square
Solution:
Let x denotes side of square
Diagonal of square = [tex]\sqrt{2}x[/tex]
Also, length of diagonal of the square = 6 inches
So,
[tex]x=\frac{6}{\sqrt{2}}\\=\frac{6}{\sqrt{2}}\left ( \frac{\sqrt{2}}{\sqrt{2}} \right )\\=3\sqrt{2}[/tex]
Perimeter refers to the distance around a two-dimensional shape.
Perimeter of square = 4×side
=[tex]4(3\sqrt{2})=12\sqrt{2}\,\,inches[/tex]
So, none of the given options is correct.
At a glass vase factory, 2 out of the last 12 vases produced were chipped. Considering this
data, how many of the next 18 vases would you expect to be chipped?
Vases
Answer:
3 vases chipped.
Step-by-step explanation:
Let's use a ratio:
chipped : all
2 : 12
1 : 6
3 : 18
We can expect 3 out of 18 vases to be chipped.
Answer:
1
Step-by-step explanation:
First, write the experimental probability as a fraction in simplest form.
P(chipped)
=
chipped
total
=
2
20
=
1
10
The experimental probability is
1
10
.
We can predict the outcome of the second set of trials by assuming that the ratio will be the same as in the first set of trials. Write a proportion by setting the two ratios equal to each other, then solve.
1
10
=
n
10
1
10
(1010)
=
n
10
(1010) Multiply both sides by (1010)
110
= 10n Simplify
10
= 10n Simplify
1
= n Divide both sides by 10
You would expect 1 of the next 10 vases to be chipped.
What is the measure of the unknown angle?
A. 60°
B. 63°
C. 64°
D. 70°
Answer:
B. 63°
Step-by-step explanation:
The distance around a circle is 360°
This means that 297° + n = 360°
Equation:
297 + n = 360
We can find the value of n by subtracting:
297 + n = 360
-297 -297
n = 63
Therefore, the value of n is 63 degrees.
Help ASAP! need to hand in by today
Q 5) No. of boys = 20
Answer:
Q 6) Total time taken to answer both the quizzes = 90 minutes
Step-by-step explanation:
Q 5.
Let the number of boys = x
Therefore, number of girls = x - 5
Since,
No. of boys + No. of girls = 35
hence,
x + x- 5 = 35
2x-5 = 35
2x = 35 + 5
2x = 40
x = 40/2
x = 20
Hence 20 boys participated in the activity.
Let the time taken to answer history quiz= x min
Therefore, time taken to answer geography quiz = (x + 30) min
According to the given information:
x = 1/2(x + 30)
2x = x + 30
2x - x = 30
x = 30 min
Hence, x + 30 = 30 + 30 = 60 min
Total time taken to answer both the quizzes = 30 + 60 = 90 minutes
PLEASE ANSWER QUICKLY I WILL GIVE BRAINLIEST
Based on the box-and-whisker plot shown below, match each term with the correct value.
I need this:
Median:
Range:
25th Percentile:
75th Percentile:
Inter-quartile Range:
Answer:
Median: 11
Range: 12
25% percentile: 9
75% percentile: 14
IQR: 5
Step-by-step explanation:
Least: 7
Q1: 9
Q2: 11
Q3: 14
Max: 19
Median: 11
Range: 19 - 7 = 12
25% percentile: 9
75% percentile: 14
IQR: 14 - 9 = 5
Step-by-step explanation:
Step 1: Find the median
The median on the box-and-whisker plot is the line that is inside of the box. On this plot, the median is 11 since it is where the line is.
Step 2: Find the range
The range on a box-and-whisker plot is the difference from the largest point and the smallest point. On this plot, the largest point is 19 and the smallest point is 7. So, subtract 7 from 19 and you get that the range is 12.
Step 3: Find the 25th percentile
The 25th percentile on a box-and-whisker plot is the left side of the box object. On this plot, the 25th percentile is 9.
Step 4: Find the 75th percentile
The 75th percentile on a box-and-whisker plot is the right side of the box object. On this plot, the 75th percentile is 14.
Step 5: Find the inter-quartile range
The inter-quartile range on a box-and-whisker plot is the difference between the 75th percentile or right side of the box and the 25th percentile or the left side of the box. On this plot, the 75th percentile is 14 and the 25th percentile is 9. So, subtract 9 from 14 and you get that the inter-quartile range is 5.
Please what is the answer to this question
2^2x–4^x+16
Answer:
x = 6
Step-by-step explanation:
Approximate the real zeros of f(x)= 3x^4 + x^2 - 1 to the nearest tenth. a. -0.7 , 0.7 c. -7, 7 b. -0.5, 0.5 d. -0.6, 0.6 Please select the best answer from the choices provided
A
B
C
D
Answer:
x ≈ - 0.7 ≈ 0.7; Option A
Step-by-step explanation:
Let us substitute f ( x ) with 0, as to find the " real zero value( s ) " of the function;
0 = 3x^4 + x^2 - 1 ⇒ Swap sides, as such,
3x^4 + x^2 - 1 = 0 ⇒ Rewrite equation with u being = x^2, u^2 = x^2,
3u^2 + u - 1 = 0 ⇒ And solve for u by completing the square,
3u^2 + u = 1 ⇒ Divide either side by 3,
u^2 + u / 3 = 1 / 3 ⇒ Write equation in the form x^2 + 2ax + a^2 = ( x + a )^2, solving for a,
2au = 1 / 3u,
a = ( 1 / 3u ) / 2u,
a = 1 / 6 ⇒ Add value of a^2 to either side of equation,
u^2 + u / 3 + ( 1 / 6 )^2 = 13 / 36,
( u + 1/ 6 )^2 = 13 / 36 ⇒ Solve for u,
u = ( √13 - 1 ) / 6, and u = ( - √13 - 1 ) / 6 ⇒ Substitute value of u back into first equation to solve for x,
x = √( - 1 + √13 ) / 6 ), x = - √( - 1 + √13 ) / 6 ), x = √( - 1 - √13 ) / 6 ), x = - √( - 1 - √13 ) / 6 ) ⇒ Convert to approximate decimal form,
x = 0.6589.... = - 0.6589....
Answer; x ≈ - 0.7 ≈ 0.7; Option A
Solve by factorisation
2x2 + 3x - 20 = 0
Step-by-step explanation:
4 + 3x -20 = 0
3x - 16 = 0
3x = 16
x = 16/3
16 ÷ 4 + (1 + 3) =
help asap
Answer:
8
Step-by-step explanation:
1+3 is 4
16÷4 is 4
4+4 is 8
Answer:
8
Step-by-step explanation:
16
4
+1+3
=4+1+3
=4+4
=8
One tenth ( 1/10) of the weight of a soft drink is sugar. Find the amount of sugar in these weights of drink.
a. 750g
b.45g
c.1kg
d.1259g
Answer:
Step-by-step explanation
(a) 1/10 × 750g=75g
(b)1/10 ×45g=4.5g
(c)1kg=1000g
=1/10×1000g=100g
(d)1/10×1259g=125.9g
Hope it helps you!!
Answer:
Step-by-step explanation:
a) Amount of Sugar = (1/10) of 750 g
[tex]\frac{1}{10}*750\\\\[/tex]
= 75 g
b)Amount of Sugar = (1/10) * 45
= 4.5 g
c) Amount of Sugar = (1/10) * 1000 g {1 kg = 1000g}
= 100 g
d) Amount of Sugar = (1/10) *1259
= 125.9 g
Select the protractor measuring an angle that is 55°.
A. Figure A
B. Figure B
C. Figure C
D. Figure D
Answer:
A. Figure A
Step-by-step explanation:
The protractor on the top left has an arrow halfway inbetween 50° and 60, making the angle 55°.
Therefore, the answer is Figure A.
What is the volume of a cone with a diameter of 30 feet and a height of 60 feet use 3.14 for pie
Answer:
14,130 feet³
Step-by-step explanation:
2r=d
2r=30
r=15
Formula for the volume of a cone is: [tex]\frac{1}{3} *b*h[/tex]
[tex]\frac{1}{3} *[/tex]π[tex]*r[/tex]²[tex]*h[/tex]=
[tex]\frac{1}{3} *3.14*15^{2} *60=\\[/tex]
[tex]\frac{1}{3} *3.14*225*60=[/tex]
[tex]\frac{1}{3} *3.14*13,500=\\[/tex]
[tex]\frac{13,500}{3} *3.14=\\[/tex]
[tex]4500*3.14=[/tex]
14,130 feet³
Point A(4, 5) is translated two units left and three units up. What are the new coordinates of point A
Answer:
A': (2, 8)
Step-by-step explanation:
I have attached the work to your problem below.
I hope this helps.