Answer:
[tex]7[/tex]
Step-by-step explanation:
[tex]x^2 \div x^{-5}[/tex]
[tex]x^{2-(-5)}[/tex]
[tex]x^{2+5}[/tex]
[tex]x^7[/tex]
2 1/3 divide 1/4 answer in simplest form
Answer:
[tex]9\frac{1}{3}[/tex]
Step-by-step explanation:
[tex]2\frac{1}{3} \div \frac{1}{4}[/tex]
[tex]\frac{7}{3} \div \frac{1}{4}[/tex]
[tex]\frac{7}{3} \times \frac{4}{1}[/tex]
[tex]\frac{7 \times 4}{3 \times 1}[/tex]
[tex]\frac{28}{3}[/tex]
[tex]9\frac{1}{3}[/tex]
[tex]9 \frac{1}{3} \\ solution \\ 2 \frac{1}{3} \div \frac{1}{4} \\ = \frac{7}{3} \times \frac{4}{1} \\ = \frac{7 \times 4}{3 \times 1} \\ = \frac{28}{3} \\ = 9 \frac{1}{3} [/tex]
Hope it helps...
Good luck on your assignment....
Please help I am in need
Answer:
Step-by-step explanation:
Locate the 1 on the x axis. This is one hour worked. Go up vertically along x = 1 and you "land" on the red line very quickly. If you go straight across to the left, you are at 14 on the y-axis. The y-axis indicates the amount of money Leo earns tutoring. If he works one hour and earns $14 and this is a straight line (linear function with a constant slope), that means that for every hour he works he will earn $14. Locate the 2 on the x-axis and go up x = 2 til you hit the red line. Read it to the left and you "land" on the y-axis at $28. $28 divided by 2 hours of work is $14 per hour of tutoring. The first choice is the one you want.
HELP ME PLEASE! So I’m working on this practice page before I start my quiz but I don’t understand these two problems, I was hoping someone would help me.
Answer: y = 1/2x - 6
Step-by-step explanation:
#4 We are going to use slope intercept form, (y = mx+b)
1. The line crossing the y-intercept at (0,-6)
2. The slope is 1/2 (increasing by 1 then over 2 --> RISE OVER RUN)
3. Make the equation: y= 1/2x - 6
Answer: 3 . y = -1/3 + 4/3 4. y= 1/2x -6
Step-by-step explanation:
3. In the first graph they have the coordinates, (-2,2) and (4,0). We have to solve for the slope and the y-intercept in other to write and equation.
To find the slope we have to find the change in the y values and divide it by the difference in the x values.
2-0 = 2
-2 -4 = -6
2/-6 = -1/3 Now we know that the slope is -1/3 so we need to find the y-intercept.
2= -1/3(-2) +b where be is the y intercept.
2= 2/3 + b
-2/3 -2/3
b= 4/3
Now we could write the equation as y= -1/3 + 4/3
4. The same with number 4.
We will find the slope and the y intercept by using some points on the number line.
(0,-6) This already have the y-intercept graphed so we will need to just find the slope.
(0,-6)
(4,-4)
-6 - (-4) = -2
0 - 4 = -4
-2/-4 = 1/2
Equation: y = 1/2x -6
pls anybody Answer me.
I will mark as BRAIN LIST. pls.
Answer:
(i) 12.25
(ii) 12.25.
Step-by-step explanation:
(1) cot^2 O = (7/2)^2 = 49/4
= 12.25.
(2) (1 - sin O) ( 1 + sin O) 1 - sin^2 O cos^2 O
---------------------------- = ------------- = --------------
(1 - cos O)(1 + cos O) 1 - cos^2 O 1 - cos^2 O
As cot O = 2/7, tan O = 1 /2/7 = 7/2.
Hypotenuse of the right triangle = √( 2^2 + 7^2)
= √53
So cos O = 7/√53
Therefore the original function = cos^2 O / (1 - cos^2 O)
= (7/√53)^2 / (1 - (7/√53)^2 )
= 49/53 / 4/53
= 49/4.
Which real-world transformations can be represented by dilations? Select two options. 1. turning a camera to take a photograph 2. cropping a photograph to a square by cutting only one side 3. reducing a photograph to half its dimensions 4. enlarging a photograph to double the dimensions 5. moving a photograph to a different page
Answer:
3 and 4
Step-by-step explanation:
A dilation is a transformation that produces an image that is the same shape as the original, but is a different size so here reducing a photograph to half its dimensions and enlarging a photograph to double the dimensions is dilation.
=> For dilation, we use a certain scale factor
=> In the 3rd option, scale factor is 1/2
=> In the 4th option, scale factor is 2.
Answer:
Step-by-step explanation:
What is the value of x in the diagram below? Id necessary, round your answer to the nearest tenth of a unit.
Answer:
30.1
Step-by-step explanation:
If x = 1 is a common root of ax² +ax + 2 = 0 and x² + x + b = 0 , then ab =
Answer:
ab = 2
Step-by-step explanation:
Given equations
ax² +ax + 2 = 0
x² + x + b = 0
root of both the equation
x= 1
then we can plug in x = 1 in both the equation
ax² +ax + 2 = 0 x² + x + b = 0
a*1² +a*1 + 2 = 0 1² + 1 + b = 0
a +a + 2 = 0 1 + 1 + b = 0
2a + 2 = 0 2 + b = 0
2a = - 2 b = -2
a = -2/2 = -1
Thus,
a = -1
b = -2
a*b = -1*-2 = 2
ab = 2
Owen’s grandmother put some money into his savings account on the day he was born. Today, Owen turns 18 years old, and he’s discovered that he has earned $225 in simple interest on his grandmother’s money. If the yearly interest rate was 5%, how much money did his grandmother deposit at the time of his birth?
Answer:
Step-by-step explanation:
The formula for simple interest is prt = I, where p is the initial investment (our unknown in this case), r is the interest rate in decimal form, t is the time in years, and I is the interest earned. That is NOT the same as the amount of money in the account t years later.
For us,
p = ??,
r = .05,
t = 18, and
I = 225.
Filling in:
p(.05)(18) = 225 and
.9p = 225 so
p = 250
Answer:
The answer is $250.
Step-by-step explanation:
First, the money that his grandmother deposited is called the principal, P. Substitute the given values into the formula, interest equals principal times rate times time, and solve for P. Here, I is 225 dollars and t is 18 years.
Next, the percent given represents the interest rate, r, but first it must be changed to a decimal. To change it, move the decimal point 2 places to the left.
Now, multiply point 0, 5, and 18 to simplify the right side of the equation. The product is point nine.
Finally, divide both sides of the equation by .9 . The result is P equals $225 The principal, or original deposit, is $250.
What is the equation of the line that goes through the point (-1,6) and (5,-4)
Answer:
2. y= -5/3 + 13/3
Step-by-step explanation:
I used Desmos Graphing Calculator
(BTW you have very nice handwriting ;-)
Also need help with this one too please
Answer:
b=18
a=6√18
Step-by-step explanation:
tan 45=b/18
by cross multiply
b=tan 45×18
=1×18
=18
find (a) by using pythagora's theorem
a^2=18^2+18^2
=324+324
a^2=648
take square root both sides
√a^2=√648
a=√36×18
a=6√18
A car made a trip of 352 miles on 16.8 gallons of gasoline. Which is closest to the number of miles per gallon the car got on that trip?
Answer: divide both numbers
Step-by-step explanation:
20.95
Toilet rolls are sold in packs of four how many toilet rolls are there in nine packs
Answer:
36 toilet rolls
Step-by-step explanation:
1 pack consist of 4 rolls
So,
1 pack = 4 toilet rolls
Multiplying both sides by 9
=> 1×9 = 4×9
=> 9 packs = 36 toilet rolls
9. If y = kx, where k is a constant, and y = -3
when x = 6, what is the value of x when y = 12?
Hey there! :)
Answer:
x = -24.
Step-by-step explanation:
Plug in the values to find the value of 'k':
-3 = k(6)
Divide both sides by 6 to solve for 'k':
-3/6 = k
k = -1/2
Plug this into the equation to solve for the value of x when y= 12:
12 = -1/2(x)
Divide both sides by -1/2:
-24 = x
x = -24.
Answer:
x would be -24
Step-by-step explanation:
since k is a constant, we have to find out what k is from the equation
. -3=6(k) divide both sides by 6 to get that k is -0.5/-1/2.
then, solve for what x is when y is 12 by setting up the equation 12=(-0.5)x. this would result in x being -24
The price of a watch is £230. In a sale this price is reduced by 16%. Calculate the sale price
Answer:
£193.2solution
Marked Price(MP)=£230
Discount percent=16%
Now,
[tex]discount \: amount = discount \: of \: mp \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 16 \: of \: 230 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{16}{100} \times 230 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 36.8 \\ selling \: price = mp - \: discount \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 230 - 36.8 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 193.2[/tex]
hope this helps...
Good luck on your assignment...
Answer:
£193.2
Step-by-step explanation:
MP= £230
SP= MP - 16%= MP*0.84= £230*0.84= £193.2
I need help please. Ill mark u as whatever u want. Urgent
Answer:
70
Step-by-step explanation:
180-45-65
pls mark me brainliest i really need it
Into how many equal parts can the same cake be cut if the cuts can only be made along the gridlines?
Answer:
I think its 20, hope this helps.
MY LAST 2 QUESTION WILL FOREVER BE GRATEFUL PLS HELP WILL GIVE BRANLIEST!! AT LEAST TAKE A LOOK!!!! PLS I AM BEGGING!!!
1. Which statement can be made based on the diagram below? IMAGE BELOW
A) m∠1 + m∠2 = 180
B) m∠2 + m∠3 = 180
C) ∠2= ∠3
D) ∠3=∠4
4. What is the difference between a formal and informal proof?
A) A formal proof provides the reasons for steps, whereas an informal proof does not.
B) A formal proof uses a table or a list of steps, whereas an informal proof uses paragraphs.
C) A formal proof is much shorter, whereas an informal proof is longer.
D) A formal proof uses equations, whereas an informal proof only uses text.
******WHO ANSWERS WILL BE MARK AS BRAINLIEST******\
The length of the segment EF is 12 cm. What is the length of ED? *
DE = 6 SqRt 3 cm
DE = 3 SqRt 12 cm
DE = 6 SqRt 12 cm
DE = 3 SqRt 3 cm
Answer:
ED = 6√3 cm
Step-by-step explanation:
This is a 30-60-90 triangle. Remember the rules. Hypotenuse is always 2x. Leg across from 60° is x√3. Leg across from 30° is x.
12 = 2x
x = 6
ED = x√3
ED = 6√3
Express 2x²+20x+7 in the form (x+p)²+q
Answer:
f(x) = (x + 5)² - 21.5
Step-by-step explanation:
Step 1: Subtract both sides by 7
2x² + 20x = -7
Step: GCF and divide
2(x² + 10x) = -7
x² + 10x = -7/2
Step 3: Complete the Square
x² + 10x + 25 = -7/2 + 25
(x +5)² = 43/2
Step 4: Subtract 43/2 to both sides
(x + 5)² - 43/2
And we have our equation!
What is the multiplicative rate of change of the exponential function shown on the graph? Two-ninths 1 4 Nine-halves
Answer:
The answer is nine-halves, the last option.
Answer:
The answer will be nine-halves.
Step-by-step explanation:
In 1995, the USPS approximated that they handled
[tex]1.8 \times 10 ^{11} [/tex]
pieces of mail. In 2010, the USPS reported that they handled
[tex]1.7 \times 10 ^{11} [/tex]
pieces. How many more pieces of mail were handled in 1995 than in 2010?
Answer:
[tex]1 \times 10^{10}[/tex] more pieces of mail were handled in 1995 than in 2010.
Step-by-step explanation:
We are given that in 1995, the USPS approximated that they handled [tex]1.8 \times 10^{11}[/tex] pieces of mail and in 2010, the USPS reported that they handled [tex]1.7 \times 10^{11}[/tex] pieces.
To find how many more pieces of mail were handled in 1995 than in 2010, we do subtraction of the pieces of mail that were handled in both the years.
Pieces of mail handled in 1995 = [tex]1.8 \times 10^{11}[/tex]
Pieces of mail handled in 2010 = [tex]1.7 \times 10^{11}[/tex]
As it is clear that more pieces of mail were handled in 1995.
So, Pieces of mail handled in 1995 - Pieces of mail handled in 2010 = [tex](1.8 \times 10^{11}) -(1.7 \times 10^{11})[/tex]
= [tex]10^{11} \times (1.8 -1.7)[/tex]
= [tex]10^{11} \times 0.1[/tex] = [tex]1 \times 10^{10}[/tex]
Hence, [tex]1 \times 10^{10}[/tex] more pieces of mail were handled in 1995 than in 2010.
Given f(x)= √7x and g(x) = 1/x-8 which value is in the domain of f^o g
Answer:The right answer is -8.
Step-by-step explanation:
Circumference of circles
Answer:
Circumference = 6.28Step-by-step explanation:
[tex]C =2\pi*r\\r = 1\\\pi = 3.14\\C = 2 *3.14*1\\C = 6.28[/tex]
Which inequality is represented by this graph?
Answer:
C. y < -1/5x + 1
Step-by-step explanation:
We can eliminate A and B because the inequality sign is incorrect. If we were to graph those, the shaded area would be above the line, not below. We are left with C and D. Notice in our given graph that the line is dotted, so solution on the line are not included. So our answer would be C. because the inequality sign is y is less than and not y is less than or equal to.
Jeremiah invested $x at a 6% simple annual interest rate account. Six times that amount was invested at an 9% simple annual interest rate account. How much was invested at the 6% account if the total annual return was $800.00?
Answer:
Step-by-step explanation:
We will make a table with the values for both a 6% account and a 9% account.
The formula for this problem is Prt = I, where P is the amount invested in each account, r is the interest rate each carries in decimal form, t is the time in years, and I is the interest earned from the multiplication of the 3 previous values. We don't know how much is invested in either account, but we do know that no matter how much is invested in the 6% account, there is 6 times that in the 9% account. We know that the 6% account has a decimal rate of .06 and that the 9% account has a decimal rate of .09. "Annual" means 1 year, so the time is 1 year. Filling in the table, then:
P * r * t = I
Acct 6% x .06 1
Acct 9% 6x .09 1
What we do with those number is multiply them straight across each row to get the amount of interest earned from each:
P * r * t = I
Acct 6% x * .06 * 1 = .06x
Acct 9% 6x * .09 * 1 = .54x
The amount of Interest for both ADDS UP to 800; therefore:
.06x + .54x = 800 and
.6x = 800 so
x = 1333.33
That's how much was invested in the account that earned 6% interest annually.
Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x – 5)?
Answer:
2nd option.
Step-by-step explanation:
3(8 - 4x) < 6(x - 5)
24 - 12x < 6x - 30
-12x - 6x < -30 - 24
-18x < -54
x > 3
Answer:
2nd graph
Step-by-step explanation:
3(8 – 4x) < 6(x – 5)
Distribute
24 -12x < 6x -30
Add 12x to each side
24-12x+12x < 6x-30+12x
24 < 18x-30
Add 30 to each side
24+30 < 18x-30+30
54 <18x
Divide by 18
54/18 < 18x/18
3<x
Open circle at 3 and line going to the right
You invest $700 in an account that pays an interest rate of 6.5% compounded continuously calculate the balance of your account after 20 years round your answer to the nearest hundred
Answer:
$2466.55
Step-by-step explanation:
We use the formula for Compound Amount, the amount gotten after a particular time, to find the balance:
[tex]A = P(1 + r)^t[/tex]
where P = Principal = $700
r = rate = 6.5% = 0.065
t = time elapsed 20 years
Therefore:
[tex]A = 700(1 + 0.065)^{20}\\\\A = 700(1.065)^{20}\\[/tex]
A = $2466.55
The balance of the account will be $2466.55
solve: 5x + 4 < 3 – 3x
Answer:
x = -1/8
Step-by-step explanation:
The greater than sign can be replaced with an equal sign to solve.
5x + 4 < 3 – 3x =>
5x + 4 = 3 - 3x =>
+3x -4 +3x - 4
---------------------------
8x = -1
x = -1/8
Each term in the sequence below is equal to the sum of two previous terms.
...a,b,c,d,e,f....
All of the following are equal to the value of "d" EXCEPT...
A. e-c
B. b + c
C. a + 2b
D. e - 2b
E. f-e
Hey there! :)
Answer:
D, e - 2b.
Step-by-step explanation:
Check each answer choice using the pattern given:
A. e - c = d because c + d = e. This is correct.
B. b + c = d. This is correct.
C. a + 2b = d because c = a + b. This is correct.
D. e - 2b ≠ d. This is incorrect.
E. f - e = d because d + e = f. This is correct.
Therefore, the only answer that does not equal "d" is D, e - 2b.
What is 0.5 as a fraction in simplest form
Answer:
1/2
Step-by-step explanation:
Answer:
1/2
Step-by-step explanation:
0.5 is said as "five-tenths". This is because it is one place after the decimal. It would then become five-tenths, written as: 510. You would then simplify the fraction: 510=12
// have a great day //