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The multiplier for 1% would be 1.01
Multiply her distance from yesterday by this value
new distance = 10.75 x 1.01
new distance = 10.8575
I'm assuming you'd want the answer to 2 d.p (however, you can round accordingly if needed otherwise)
Subtract the two values
10.8575 - 10.75 = 0.1075
So, to 2 d.p your answer would be 0.11 km
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8, 18, 11, 15, 5, 4, 14, 9, 19, 1, 7, 17, 6, 16, ? , ?, ?, ?, ? Now, the only numbers used are in the range of 1 to 19. No numbers can be repeated. Now, there is a pattern to the sequence of numbers, and your keen powers of observation will be able to note that the last five numbers used in the sequence will be some combination of 13, 12, 10, 3, and 2. (If you’re more into logic brain-busters, a MIT professor called this puzzle “the hardest ever.”) Any luck? Here are a few hints: The sequence doesn’t obey any mathematical rule, and it is not counting any particular group of things. The only way to figure out the problem, according to Spencer, is to think of the numbers as words and write them out. The completed sequence is as follows: 8, 18, 11, 15, 5, 4, 14, 9, 19, 1, 7, 17, 6, 16, 10, 13, 3, 12, 2. Numerically, the sequence’s order is meaningless. That’s because they’re actually just listed in alphabetical order. While you’re in puzzle-mode, a bunch of raccoons solved this ancient Greek riddle—can you figure it out?
Answer:
8, 18, 11, 15, 5, 4, 14, 9, 19, 1, 7, 17, 6, 16, 10, 13, 3, 12, 2
Step-by-step explanation:
The answer is actually very simple: the numbers are placed in alphabetical order.
E ight
E ighteen
E leven
F ifteen
F our
F ourteen
N ineteen
O ne
S even
S eventeen
S ix
S ixteen
T en
T hirteen
T hree
T welve
T wo
What is the measure of the angle between the minute and the hour hands, when they show 3:05 PM?
Answer:
62.5°
Hope this helps :)
Write each of the following expressions without using absolute value. |7m–56|, if m<8
Answer:
[tex]|7\cdot m -56| = -7\cdot m + 56[/tex] if [tex]m< 8[/tex]
Step-by-step explanation:
According to the definition of absolute value:
[tex]f(x)[/tex] if [tex]f(x) \geq 0[/tex]
[tex]-f(x)[/tex] if [tex]f(x) <0[/tex]
If [tex]m < 8[/tex], then:
[tex]y_{max} = 7\cdot (8) - 56[/tex]
[tex]y_{max} = 0[/tex]
[tex]y[/tex] becomes negative as [tex]m[/tex] diverges to [tex]-\infty[/tex].
Then, the absolute value can be rewritten as follows:
[tex]|7\cdot m - 56| = -(7\cdot m -56)[/tex] if [tex]m <8[/tex]
[tex]|7\cdot m -56| = -7\cdot m + 56[/tex] if [tex]m< 8[/tex]
For what values of a the following expressions are true: |a|=−a
Answer:
Any negative number and 0 works for the expression.
Step-by-step explanation:
Looking at this type of equation, we know that either EVERY negative number and 0 or EVERY positive number and 0 will work for this equation, since nothing is being added and we're just working with absolutes/negatives.
Let's try a random positive number in the expression
[tex]|6| = -(6)\\6 \neq -6[/tex]
So this positive number doesn't work, let's just test with another one.
[tex]|9| = -(9)\\9 \neq -9[/tex]
So we know that positive numbers won't work with this expression.
Let's test 0 quickly, just to make sure.
[tex]|0| = -0\\0 = 0[/tex]
So 0 works.
Let's try a few negative numbers now.
[tex]|-5| = -(-5)\\5 = 5[/tex]
So yes, this does work. Let's try one more negative number.
[tex]|-120| = -(-120)\\120 = 120[/tex]
This works. So, every negative number and 0 work with this equation.
Hope this helped!
Answer:
|a|=−a is true only if a is negative or zero
Step-by-step explanation:
Recall that absolute values are always 0 or positive.
|a|=−a is true only if a is negative or zero.
please help me immediately
Which are the roots of the quadratic function f(q) = q? - 125? Select two options.
Oq=515
Oq=-575
Oq=3/5
Oq=-375
Oq=25/5
Answer:
A and C
Step-by-step explanation:
The roots of the quadratic function f(q) = q² - 125 are q = 5 and q = -5.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The quadratic function f(q) = q² - 125 can be factored as (q - 5)(q + 5).
Now,
To find the roots, we set the function equal to zero and solve for q:
So,
q² - 125 = 0
(q - 5)(q + 5) = 0
q - 5 = 0 or q + 5 = 0
q = 5 or q = -5
Therefore,
The roots of the quadratic function f(q) = q² - 125 are q = 5 and q = -5.
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Which expression can be used to find the surface area of the following square pyramid?
Answer:
4[1/2(5 x 6)] + 6x6
Step-by-step explanation:
The first part of the expression is 4[1/2(5 x 6)]. This is the formula to find the surface area of the triangles. A regular triangle's area is 1/2(l*w). Since there are four trinagles, you have to multiply the whole expression by 4.
The second part of the equation is finding the surface area of the base which is a square. Since squares have four equal sides, its safe to say that you can use 6 * 6.
Hope that helped!
(03.03) Match the number with its opposite.
Answer:
-3.2 is the opposite of 3.2
2.3 is the opposite of -2.3
1.5 is the opposite of -1.5
-5.1 is the opposite of 5.1
Step-by-step explanation:
If your value is a positive, make it a negative
Ex. 3-->-3
If your answer is a negative, make it a positive
Ex. -3-->3
Answer:
-3.2 is the opposite of 3.2
2.3 is the opposite of -2.3
1.5 is the opposite of -1.5
-5.1 is the opposite of 5.1
Which of the following equations have exactly one solution? Choose all answers that apply: A.6x-15=6x+15 B.6x-6=6x+15 C.6x+15=6x+15 D.6x-6=15x+15
Answer: D
Step-by-step explanation:
In every other solution, x gets canceled out, so it has no impact on the equation. Thus, A, B, and C all have either infinite or no solution, because they have 6x on both sides of the equation.
Further proof:
6x-6=15x+15
Add(6)
6x=15x+21
Subtract(15x)
-9x=21
Divide(-9)
x = -2 3/9
Hope it helps <3
Answer:
d) 6x - 6 = 15x + 15
Step-by-step explanation:
Well let’s solve.
a)
6x - 15 = 6x + 15
Lets use the communicative property which is the moving of numbers.
We can start with -15, so we do +15,
6x = 6x + 30
Then we can do -6x
0 = 30
This is a false statement meaning there is no solution.
b)
6x - 6 = 6x + 15
We can start by doing +6
6x = 6x + 21
-6x
0 = 21
Again, this is a false statement meaning this has no solutions.
c)
6x + 15 = 6x + 15
So we do -15
6x = 6x
If this is the case then there is infinitely many solutions.
d)
6x - 6 = 15x + 15
So we can start by doing +5p6
6x = 15x + 21
Then we can do -15x
-9x = 21
then we can do 21 / -9 which is -2 1/3.
x = -2 1/3
So this has one solution.
Write the sentence as an equation: 220 is 48 and h more
Answer:
220=48+h or 220=48h
Step-by-step explanation:
the word more can refer to a greater degree or extent. possibly referring
to addition or multiplication.
Answer:
220=48+h
Step-by-step explanation:
We know that 220 is the sum of 48 and h so you just represent it in an equation/equality statement.
Simplify each expression using the proper order of operations. please help thank you so much :)
[tex]\frac{41-3^2}{\sqrt{36}*3-26 }[/tex]= ?
12 +[tex]\sqrt[3]{8}[/tex] *(9-2)= ?
[tex]\frac{28-(7^2+3)}{-13+3*5}[/tex]= ?
[tex]\frac{28}{4}[/tex] -[tex]\sqrt[3]{8}[/tex]*2^3= ?
7^2 - 5* 8+1= ?
(2*[tex]\sqrt{16}[/tex]) -([tex]\sqrt[3]{27}[/tex]*[tex]\sqrt{81}[/tex] ) + 7= ?
Answer:
a) [tex]\boxed{-4}[/tex]
b) [tex]\boxed{26}[/tex]
c) [tex]\boxed{-12}[/tex]
d) [tex]\boxed{-9}[/tex]
e) [tex]\boxed{10}[/tex]
f) [tex]\boxed{-12}[/tex]
Step-by-step explanation:
1) [tex]\frac{41 - 3^2}{\sqrt{36}* 3-26 }[/tex]
=> [tex]\frac{41-9}{6*3-26}[/tex]
=> [tex]\frac{32}{18-26}[/tex]
=> [tex]\frac{32}{-8}[/tex]
=> -4
2) [tex]12+\sqrt[3]{8} * (9-2)[/tex] ∴ [tex]\sqrt[3]{8} = 2[/tex]
=> [tex]12+2*(7)[/tex]
=> 12 + 14
=> 26
3) [tex]\frac{28-(7^2+3)}{-13+3*5}[/tex]
=> [tex]\frac{28-(49+3)}{-13+15}[/tex]
=> [tex]\frac{28-52}{2}[/tex]
=> [tex]\frac{-24}{2}[/tex]
=> -12
4) [tex]\frac{28}{4} - \sqrt[3]{8} * 2^3[/tex]
=> 7 - 2 * 8
=> 7 - 16
=> -9
5) [tex]7^2-5*8+1[/tex]
=> 49 - 40 + 1
=> 9 + 1
=> 10
6) [tex](2 * \sqrt{16} ) - (\sqrt[3]{27} * \sqrt{81} ) + 7[/tex]
∴ [tex]\sqrt{16} = 4, \sqrt[3]{27} = 3 , \sqrt{81} = 9[/tex]
=> (2 * 4) - (3 * 9) + 7
=> 8 - 27 + 7
=> -19 + 7
=> -12
Answer:
[tex]\boxed{\mathrm{view \: explanation}}[/tex]
Step-by-step explanation:
Apply order of operations to solve each expression.
[tex]\frac{41-9}{6 \times 3-26}[/tex]
[tex]\frac{41-9}{18-26}[/tex]
[tex]\frac{32}{-8}=-4[/tex]
[tex]12+2\times 7[/tex]
[tex]12+14=26[/tex]
[tex]\frac{28-(49+3)}{-13+15}[/tex]
[tex]\frac{28-52}{2}[/tex]
[tex]\frac{-24}{2} =-12[/tex]
[tex]7-2 \times 8[/tex]
[tex]7-16=-9[/tex]
[tex]49-40+1[/tex]
[tex]=10[/tex]
[tex](2 \times 4)-(3 \times 9) +7[/tex]
[tex]8-27+7[/tex]
[tex]=-12[/tex]
David is making rice for his guests based on a recipe that requires rice, water, and a special blend of spice, where the rice-to-spice ratio is 15:115:115, colon, 1. He currently has 404040 grams of the spice blend, and he can go buy more if necessary. He wants to make 101010 servings, where each serving has 757575 grams of rice. Overall, David spends 4.504.504, point, 50 dollars on rice. How many servings can David make with the current amount of spice he has
Answer:
8 servings
Step-by-step explanation:
At the ratio of 15:1, the 75 grams of rice in one serving will require 75/15 = 5 g of spice. David's inventory of 40 g of spice is enough for ...
40 g/(5 g/serving) = 8 servings
Only 8 servings can be made with the available spice.
Rice to spice ratio = 15 : 1
Number of grams per serving = 75 grams
Grams of spice available = 40 grams
Grams of rice, r required for available spice :
15 grams of rice = 1 gram of spice
r grams of rice = 40 grams of spice
Cross multiply :
r = (40 × 15)
r = 600 grams
The grams of rice which can go with the available spice :
Number of servings = grams of rice / grams per serving
Number of serving = 600 grams / 75 grams
Number of grams per serving = 8
Hence, The number of servings which can be made with the available spice is 8 servings
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15 POINTS!!!!!!!!!!
Given f(x) and g(x) = f(x) + k, use the graph to determine the value of k. "Graph of f of x and g of x. f of x equals 1 over 3 x minus 3 and g of x equals 1 over 3 x plus 1. "
a.) 2
b.) 3
c.) 4
d.) 5
Answer: B.
k=3
Step-by-step explanation:
g(x) is 3 units higher than f(x)
so k must be equal to 3
Answer:
it is b i think
k=3
Step-by-step explanation:
In the circle below, O is the center and mĞ= 128° What is the measure of angle HIG?
Answer:
HIG=28°
Step-by-step explanation:
HI is a diameter therefore it's measure is 180°
HI-IG=HG
180-128=HG
52°=HG
HIG=1/2HG
HIG=1/2(56°)
HIG=28°
Suppose that f(x)=4x+5. What is f^-1 (f^-1(9)) ?
Step-by-step explanation:
the inverse of the inverse of a function is the function itself
It's like going and coming back
f^-1(f^(-1)9) = f(9) f(9) = 4*9+5f(9) = 36+5 f(9) = 41Answer:
9
Step-by-step explanation:
The inverse of the inverse is the input
f^-1 (f^-1(9)) = 9
As a proof
f(x) = 4x+5
y = 4x+5
Exchange x and y
x = 4y+5
Solve for y
(x+5) = 4y
(x+5)/4 = y
f^-1 (x) = ( x-5)/4
Then find the inverse of this function
y = ( x-5) /4
Exchange x and y
x = (y-5)/4
4x = y-5
4x+5 = y
Which gives us the original function back
f^-1( input) = 4x+5
Using the value given
f^-1 (9) = ( 9-5)/4=4/4 =1
Using the 1 from the previous part as the input
f^-1( 1) = 4*1+5 = 4+5 = 9
Which an equation of a line that has a y-intercept at (0,0) (create your own slope)
Answer:
y = 3x
Step-by-step explanation:
Assume a slope of 3
The y intercept is 0
The slope intercept form of the equation is
y= mx+b where m is the slope and b is the y intercept
y =3x+0
y = 3x
Help ! Help ! Help !
Answer: $ 82,531.59.
Step-by-step explanation:
Formula to calculate the accumulated amount compounded daily:
[tex]A=P(1+\dfrac{r}{365})^{t}[/tex]
,where P=principal amount, t=time ( in days ), r =rate of interest.
Given: P= $51,123.21
r = [tex]2\dfrac{3}{8}\%=\dfrac{19}{8}\%=0.02375[/tex]
t= 20 years 2 months
[tex]= 20(365)+\dfrac{2}{12}(365)\\\\= 7360.83[/tex] [1 year = 365 days, 1 year = 12 months]
Substitute all values in the formula, we get
[tex]A=(51123.21)(1+\dfrac{0.02375}{365})^{7360.83}\\\\\approx82531.59[/tex]
hence, future value = $ 82,531.59.
Solve on the interval [0,2pi)
4 CSC x + 1 = -3
Answer:
[tex]$\frac{3\pi }{2}$[/tex]
Step-by-step explanation:
Solve for the interval: [tex][0, 2\pi)[/tex]
[tex]4 \csc(\theta)+1=-3[/tex]
[tex]4 \csc(\theta)=-4[/tex]
[tex]\csc(\theta)=-1[/tex]
[tex]$\frac{1}{\sin(\theta)} =-1 \Rightarrow \sin(\theta)=-1$[/tex]
We have [tex]\sin(\theta)=-1[/tex] for coterminal angles [tex]$\frac{3\pi }{2}+2\pi n$[/tex]
Once we just want the interval [tex][0, 2\pi)[/tex]
The solution is [tex]$\frac{3\pi }{2}$[/tex]
what is the average rate of change of f over the interval [-3,9]
Answer:
According to the graph, f(−3)=3 and f(9)=-7
-7-3/9-(-3)= −10/12
Therefore the answer is -5/6
From Khan
The average rate of change over the interval [-3,9] will be 63 units per one unit change in y - value.
What is Polynomial? What are exponents? What is the general equation of a straight line? A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using mathematical operations such as addition, subtraction, multiplication and division.An exponent is a number that is placed as a superscript over a number. In other words, it indicates that the base is raised to a certain power. Tis expression means that -[tex]b^x = \underbrace{b \times \dots \times b}_{x \text{ times}}[/tex]
The general equation of a straight line is : y = mx + cwhere : [m] → is slope of line and [c] → is the y - intercept
We have the following function -
f(x) = x³ - 9
The average rate of change would be -
r = {720 - (- 36)}/{9 - (- 3)}
r = 756/12
r = 63
Therefore, the average rate of change over the interval [-3,9] will be 63 units per one unit change in y - value.
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[ Complete question -
what is the average rate of change of f(x) = x³ - 9 over the interval [-3,9] ]
Find the measure of y.
Make a 3-by-3 logic grid on your own paper. Use it to help you solve the logic
puzzle and answer the question given below.
Tina, Jewel, and Amy have three different pets (dog, goldfish, and ferret).
• Tina is allergic to dogs.
• Jewel does not have the ferret.
• The dog belongs to Amy.
Who owns the ferret?
Answer:
Tina
Step-by-step explanation:
Since Amy owns the dog, she doesn't have the ferret and we know that Jewel doesn't have the ferret so the answer is Tina.
What is the function rule represented by the following table? x y 0 0 1 -2 -2 4 y = -x - 1 y = -2x y = x - 3 y = -3x + 2
Answer:
[tex]y = -2x[/tex]
Step-by-step explanation:
Given
x || 0 || 1 || -2
y || 0 || -2 || 4
Required
Determine the function rule
First, we have to determine the slope of the function using;
[tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex]
Where x and y represent any two corresponding values of x and y
When x = 0; y = 0 [tex](x_1,y_1)[/tex]
When x = 1; y = -2 [tex](x_2,y_2)[/tex]
Substitute these values in [tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex]
[tex]m = \frac{0 - (-2)}{0 - 1}[/tex]
[tex]m = \frac{0 +2}{0 - 1}[/tex]
[tex]m = \frac{2}{- 1}[/tex]
[tex]m = -2[/tex]
Next, is to determine the function rule; using slope intercept form as follows;
[tex]y - y_1 = m(x - x_1)[/tex]
Take any corresponding values of x and y as x1 and x2
When x = -2; y = 4
[tex]y - y_1 = m(x - x_1)[/tex] becomes
[tex]y - 4 = -2(x - (-2))[/tex]
[tex]y - 4 = -2(x + 2)[/tex]
Open the bracket
[tex]y - 4 = -2x -4[/tex]
Add 4 to both sides
[tex]y - 4 + 4 = -2x - 4 + 4[/tex]
[tex]y = -2x[/tex]
Hence, the function rule is [tex]y = -2x[/tex]
Answer:
y = -2 x - 1
Step-by-step explanation:
s25=625, s13=169 find an
Answer:what!?
Step-by-step explanation:
The coordinates of rhombus ABCD are A(–4, –2), B(–2, 6), C(6, 8), and D(4, 0). What is the area of the rhombus? Round to the nearest whole number, if necessary.
Answer:
The rhombus ABCD has an area of 22 square units.
Step-by-step explanation:
The coordinates of rhombus ABCD are shown in the image attached below. The area of the rhombus can be found in terms of their diagonals, which are now calculated by Pythagorean Theorem:
[tex]AC = \sqrt{[6-(-4)]^{2}+[8-(-4)]^{2}}[/tex]
[tex]AC = 15.620[/tex]
[tex]BD = \sqrt{(4-6)^{2}+[0-(-2)]^{2}}[/tex]
[tex]BD \approx 2.828[/tex]
The area of the rhombus is: ([tex]AC = 15.620[/tex] and [tex]BD \approx 2.828[/tex])
[tex]A = \frac{AC\cdot BD}{2}[/tex]
[tex]A = \frac{(15.620)\cdot (2.828)}{2}[/tex]
[tex]A = 22.087[/tex]
The rhombus ABCD has an area of 22 square units.
Answer:
22 units
Step-by-step explanation:
Which of the following best describes the relationship between (x-3) and the
polynomial x3 + 4x2 + 2?
Answer:
c. (x-3) is not a factor.
Step-by-step explanation:
Hillary has to drive 225 miles in four and a half hours. What should her average speed be in order to arrive on time? 56 mph 45 mph 50 mph 48 mph
Answer:
50 mph
Step-by-step explanation:
225 in 4.5 Hours
1 Hour - 50 miles
(225 ÷ 4.5 = 50)
Hope this helps.
Answer:
50mph
Step-by-step explanation:
To figure this out you would just have to divide the number of miles which is 255 by the number of hours which is 4.5 and you would get 50mph.
this is algebra 1, the answers are on the bottom help please
Answer:
c. x ≤ 6
Step-by-step explanation:
Well we can tell the line is solid so we can cross out answers,
b.
And it is 6 units to the right where x is less than or equal to 6.
Thus,
the answer is c. x ≤ 6.
Hope this helps :)
Answer:
C
Step-by-step explanation:
x less than or equal to 6
If there had been a dashed vertical line at 6, it would have just been less than
PLEASE PLEASE HELP WILL MARK BRAINLY
Answer:
The second option (see attached image)
Step-by-step explanation:
You are looking for a box diagram that represents 9 units, and from those, clearly marked sections that contain 3/2 = 1.5 units.The idea is to count how many 1.5 units you have in 9 units.
The in the second diagram you see 9 boxes subdivided in half. Then outlined in red other smaller boxes of length 1.5 units. We can clearly see from the diagram that there are exactly 6 of these smaller 1.5 units red boxes to produce the total 9 unit object.
Jordan weighs twice as much as
Sam. Togcther, they weigh 180
pounds. How much do each of
them weigh?
Answer:
Jordan weighs 120 pounds, Sam weighs 60 pounds
Step-by-step explanation:
We can create an equation 2s=J. Our second equation is S+J=180. We can substitute J for 2s and our new equation will be 3s=180. We can divide 3 from both sides and we get s= 60. And we know that Jordan weighs two times as sam, then Jordan weighs 120 pounds.
Answer: Jordan=120. Sam=60
Step-by-step explanation: Together they weigh 180 pounds Jordan weighs twice as much as sam. We can write their values as Sam=x and Jordan=2x then we can make a equation
2x+x=180
3x=180
x=60
Then we can substitute x in Jordan and sams values to get our final answe;
Jordan=120. Sam=60
Which of the following theorems verifies that WVU = RST?
А. НА
B. HL
C. LA
D. LL
The correct theorems which verifies that, WVU = RST is,
⇒ HL
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
To find correct theorems which verifies that, WVU = RST
Now, We know that;
The Hypotenuse-Leg Theorem is the only viable way to determine congruency between 2 right triangles.
Here, By both triangles;
⇒ ∠VUW = 90°
⇒ ∠STR = 90°
Thus, The correct theorems which verifies that, WVU = RST is,
⇒ HL
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