Answer:
(C) Annie did not make a mistake
Step-by-step explanation:
To isolate the variable k in the equation [tex]7.5 + k = 10[/tex], we'd have to subtract 7.5 from both sides so we just had k on one side.
This is exactly what Annie did, and therefore, her answer is correct.
Hope this helped!
Answer:
C. Annie did not make a mistake
Step-by-step explanation:
Substitute 2.5 for k in the equation and see if it is correct
Each time you substitute you should see that Annie answered the equation correctly
If [tex]\frac{x}{y}[/tex] = [tex]\frac{3}{4}[/tex], [tex]\frac{y}{z}[/tex] = [tex]\frac{2}{3}[/tex], [tex]\frac{z}{w}[/tex] = [tex]\frac{5}{8}[/tex], what is the value of [tex]\frac{x+y+w}{w}[/tex]?
Select all decimals that are equivalent to (9 x 100) + (2 x 10) + (3x ) + (5 x it).
A. 92.35
B. 920.350
C. 902.35
D. 92.350
D E 920.35
F. 920.035
Answer:
the answer to the question is letter E I believe
if all the possible values of x are indicated by the shaded part of the number line above, which number line best shows all possible values of 1/x? (the shaded part in the number line is 0.5 to 1.5, the whole number line segment is from 0 to 3)
Answer:
can i see a picture of the number line?
Step-by-step explanation:
Find the value of x.
X
10
A. 52
B. 10/2
C. 512
D. 5
А
В
URGENT
[tex] \huge{ \bold{ \bigstar \: pythagoras \bigstar}}[/tex]
Pythagoras :
[tex] {10}^{2} = {x}^{2} + {x}^{2} [/tex]
[tex]100 = 2{x}^{2}[/tex]
[tex]100 \div 2 = {x}^{2} [/tex]
[tex]50 = {x}^{2} [/tex]
[tex]x = \sqrt{50} [/tex]
[tex]x = \sqrt{25 \times 2} [/tex]
[tex] \red{x = 5 \sqrt{2} }[/tex]
Answer:
Step-by-step explanation:
Compare this to a similar figure with hypotenuse √2 and leg lengths all 1.
Write and solve an equation of ratios, as follows:
x 10
------ = ------
1 √2
10√2
'then x = -------- = 5√2
2
20x-4y=40
Find the slope of the linear equation
Answer:
the slope is 5
Step-by-step explanation:
Solve for y
20x -4y = 40
Subtract 20x from each side
20x-20x -4y = -20x +40
-4y = -20x+40
Divide each side by -4
-4y/-4 = -20x/-4 +40/-4
y = 5x -10
This is in slope intercept form y = mx+b where m is the slope and b is the y intercept
The slope is 5
Solve for y:
20x - 4y = 40
Subtract 20x to both sides
-4y = 40 - 20x
Divide -4 to everything
y = -10 + 5x
Therefore, the slope is 5
Best of Luck!
(k) 2 cos 16A + 1 = (2 cos 2A - 1).(2 cos 2A + 1).(2 cos 4A-1).(2cos 8A-1).
I need help to prove this......
Qno. k.
Answer: see proof below
Step-by-step explanation:
Use the following Double Angle identity: cos 2A = 2cos²A - 1
We are going to find one factor at a time:
2 cos16A + 1 = (2cos2A - 1)(2cos2A + 1)(2cos4A - 1)(2cos8A - 1)
↓ ↓ ↓ ↓
factor last factor 2nd factor 1st
Proof LHS → RHS:
Given: 2 cos16A + 1
let α = 8A, then 2·cos2α + 1
Identity: 2(2cos²α - 1) + 1
Distribute: 4cos²α - 2 + 1
Simplify: 4cos²α - 1
Factor: (2cosα - 1)(2cosα + 1)
Substitute: (2cos8A - 1)(2cos8A + 1)
let β = 4A, then 2·cos2β + 1
Identity: 2(2cos²β - 1) + 1
Distribute: 4cos²β - 2 + 1
Simplify: 4cos²β - 1
Factor: (2cosβ - 1)(2cosβ + 1)
Substitute: (2cos4A - 1)(2cos4A + 1)
let Ф = 4A, then 2·cos2Ф + 1
Identity: 2(2cos²Ф - 1) + 1
Distribute: 4cos²Ф - 2 + 1
Simplify: 4cos²Ф - 1
Factor: (2cosФ - 1)(2cosФ + 1)
Substitute: (2cos2A - 1)(2cos2A + 1)
(2cos2A - 1)(2cos2A + 1)(2cos4A - 1)(2cos8A - 1) = (2cos2A - 1)(2cos2A + 1)(2cos4A - 1)(2cos8A - 1) [tex]\checkmark[/tex]
Answer:Use the following Double Angle identity: cos 2A = 2cos²A - 1
We are going to find one factor at a time:
2 cos16A + 1 = (2cos2A - 1)(2cos2A + 1)(2cos4A - 1)(2cos8A - 1)
Step-by-step explanation:
3 to the power of 5 equals 243. Explain how to use that fact to quicky evaluate 3 to the power of 6.
Answer:
3^6 = 729
Step-by-step explanation:
3 to the power of 5 equals 243. Explain how to use that fact to quickly evaluate 3 to the power of 6
Symbolically, we have:
3^5 = 243 (given)
Multiplying both sides by 3, we get:
3^6 = 3(243)
If you want to take this further, multiply 3(243): 3^6 = 729
The value of [tex]3^6[/tex] is 729.
Important information:
[tex]3^5=243[/tex]Exponents:We need to find the value of [tex]3^6[/tex].
Using the rules of exponents, we get
[tex]3^6=3^{5+1}[/tex]
[tex]3^6=3^{5}*3^{1}[/tex] [tex][\because a^{m+n}=a^ma^n][/tex]
[tex]3^6=243*3[/tex]
[tex]3^6=729[/tex]
Therefore, the value of [tex]3^6[/tex] is 729.
Find out more about 'Exponents' here:
https://brainly.com/question/14404700
Please Help me!! An 8 foot high camel is loping away from a streetlight. The camel is loping at 12 feet/second. The streetlight is 20 feet high. How fast is the camel’s shadow growing?
Answer:
Camel's shadow is growing at a rate of 8 ft/sec.
Step-by-step explanation:
Given:
Height of camel = 8 ft
Height of streetlight = 20 ft
Speed of camel = 12 ft / sec
To find:
How fast is the camel's shadow growing = ?
Solution:
First of all, have a look at the image attached for the situation as given in the question statement.
PQ be the streetlight.
AB be the camel.
Camel is loping away from the streetlight.
BT will be the shadow of the camel.
We are given that speed of camel = 12 ft / sec
And we know that Speed is the Rate of change of distance w.r. to time.
i.e. as per the image, we are given:
[tex]\dfrac{dx}{dt} = 12 ft /sec[/tex]
And we have to find the value of:
[tex]\dfrac{ds}{dt} = ?[/tex]
(Because s is the shadow length and we have to find the rate of change of shadow's length w.r.to time.)
Here, let us consider the two similar triangles [tex]\triangle TAB\ and\ \triangle TPQ[/tex]as per the image attached:
Ratio of corresponding sides will be same.
[tex]\dfrac{AB}{PQ}=\dfrac{TB}{TQ}\\\Rightarrow \dfrac{8}{20}=\dfrac{s}{s+x}\\\Rightarrow 8s+8x=20s\\\Rightarrow 12s = 8x\\\Rightarrow s = \dfrac{2}{3}x[/tex]
Now, differentiating w.r.to t:
[tex]\dfrac{ds}{dt}=\dfrac{2}{3}\dfrac{dx}{dt}\\\Rightarrow \dfrac{ds}{dt}=\dfrac{2}{3}\times 12\\\Rightarrow \dfrac{ds}{dt}=\bold{8\ ft/sec}[/tex]
Camel's shadow is growing at a rate of 8 ft/sec.
write the slope- intercept form of the equation for the line.
Y=2x-1
Y=1/2x-1
y=-2x-1
y=1/2x+1
Answer:
The answer will be y=2x-1
Step-by-step explanation:
With the graph we are able to use the formula rise/run, which means we count down from the top point, and then over, and then divide.
Going down is 4 points, and over is 2.
4/2 is 2.
This leaves us with two answers. With this information, we look at the direction the graph is going, it is going upwards, making it positive. Which means that your answer is the first one. Plus the line goes through -1.
Thank you, if you need any more help let me know.
How would I solve this question? y = -1 1/8 - 7/8x -4x + 9y = -22 x = ?, y = ?
The Greenbaum family agreed to pay for 3 months of an online TV service in exchange for a $5 credit on the bill each month. If the Greenbaums spend a total of $11.85 on the service over the 3 months, what is the normal price of one month of online TV service?
$5.00
$6.85
$8.95
$30.55
Please solve the one w the underline please ❤️❤️
Answer:
6 ÷ 6 + 6 x 6
Step-by-step explanation:
Hope this helps :D
a contractor is in charge of hiring people for construction project the number of days it would take to complete a project with ex full time workers can be found using the function f (x) equals 1 26/x.assume once workers are assigned to the project no workers may be added or taken out the project until it is finished find and interpret the given function values and determine an appropriate domain for the function
This is about understanding domain of a function.
The domain of the function is x is a set of positive integers.
We are given the function;f(x) = 126/x
Where;
f(x) is the number of days it would take to complete a project with x number of workers
x is number of workers it will take to complete the project.
We want to find the domain for the given function.Domain is defined as the set of all possible input values for which the function is defined.
Let's try x = 0 workers.
f(x) = 126/0 ; this is undefined and so x cannot be zero.
Let's try x = 1 worker
f(x) = 126/1 = 126 days
Let's try x = 10 workers
f(x) = 126/10 = 12.6 days
Let's try x = 100 workers
f(x) = 126/100 = 1.26 days
We see that every positive integer is a possible value of x that can make the function defined. Since 0 and negative numbers will make the function invalid.
Thus, the domain of the function is x is a set of all positive integers.
Read more at; brainly.com/question/2052994
Perform the following calculation and express the answer in scientific
notation: 1.2 x 10^-2 m x 3.0 x 10^-6 m =
Answer:
Hey there!
1.2 x 10^-2 times 3.0 x 10^-6 = 3.6 x 10^-8 m^2.
Hope this helps :)
Assuming these ratios stay consistent, if each plant recycled 350 total bottles in a day, plant B would recycle_______ more red bottles than plant A. Plant C would recycle________________ more red bottles than plant D.
Answer:
70
80
Step-by-step explanation:
Assuming these ratios stay consistent, if each plant recycled 350 total bottles in a day, plant B would recycle___70____ more red bottles than plant A. Plant C would recycle_____80___________ more red bottles than plant D.
A = We first multiply 150 x 2.333 (2 1/3) = 350 tbottles 60 x 2.333 = 140
B = Then multiply 350/200 = 200 x 1.75 350 tbottles RED = 120 x 1.75=210
First answer = 210-140 = B recycles 70 more than A
C = We first multiply 175 x 2 = 350 tbottles RED = 110 x 2 = 220
D = We first find LCM of 180 and 350
Then find 18x now equals 1/10 x 35x tbottles RED = 72 / 18 = 4 then 4 x 35 = 140
Second answer = 220-140 = C recycles 80 more than D.
Answer:
Plant B would recycle 60 more red bottles than plant A. Plant C would recycle 38 more red bottles than plant D.
Hope this helps!
Sorry for answering so late!
Please help me with this geometry question:((
Answer:
a.ans=(1,3)
b.ans=(1,2,3,4,5,6,7,9,11,12)
c.ans=(1,3,5,7,9,11)
Step-by-step explanation:
Between A and C (1,3) are common.So it is the intersection.
(1,2,3,4,5,6,7,9,11,12) are all the number belongs to set A and set C.So it is called the union of both sets.
C denotes the complement and the number except set b belong to the complement.
you move right 3 units and left 4 units. you end at (-3,-1). where did you start?
Answer:
(-2,-1) is where u start
Step-by-step explanation:
Answer:
(-2,-1)
Step-by-step explanation:
The point we ended at is (-3,-1)
We have moved 4 units left so we will add 4 to -3
● -3+4 = 1
We have moved 3 unirs right so we will substract 3 from 1
● 1-3 = -2
So the initial point was (-2,-1)
The height of a kicked football can be represented by the polynomial –16t2 + 47t + 3 = 0, where t is the time in seconds. Find the time in seconds of when the football hits the ground.
Step-by-step explanation:
-16t2 + 47t + 3 = 0
-16t2 + 48t - t + 3 = 0
-16t( t - 3) - 1 ( t - 3) = 0
-16t - 1 = 0. t - 3 = 0
-16t = 1 t = 3
t = 1/ - 16.
Complete the statement. The line x = −2 is _______.
Answer:
see explanation
Step-by-step explanation:
The line x = - 2
Is a vertical line parallel to the y- axis
It passes through all points with an x- coordinate of - 2
write an equation of the line that passes through the given points
(-2,9) and(1,-3)
Answer:
Y = -4x + 1
Step-by-step explanation:
1. We know the equation of a line is y=mx+b.
2. using the slope formula, [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex], to find the slope. -12 / 3 = -4, so the slope is -4.
3. we need to find the Y intercept, or the Y coordinate at X=0. if at x=1 the Y is -3, and the slope is -4, then if we go down to x=0 then the Y would be 4 higher. therefore the Y intercept is 1.
4. now we can make the equation; Y = -4x + 1
PLEASE HELP ASAP WILL GIVE BRAINLY!!!!!!
What is the value of the discriminant of the quadratic equation -2x2=-8x+8, and what does its value mean about the number of real number solutions the equation has?
The discriminant is equal to 0, which means the equation has no real number solutions.
The discriminant is equal to 0, which means the equation has one real number solution.
The discriminant is equal to 128, which means the equation has no real number solutions.
The discriminant is equal to 128, which means the equation has two real number solutions.
Answer:
B: The discriminant is equal to zero which means it has one real number solution
Step-by-step explanation:
Hello Again!!
Your right answer will be is B. The discriminant is equal to 0, which means the equation has one real number solution.
For this case we have the following quadratic equation:
2x^2 - 8x + = 0
Where:
a = 2
B = -8
c = 8
The discriminant is given by:
d = b^2 - 4(a)(c)
Substituting the values we have:
d = (-8)^2 - 4(2)(8)
d = 64 - 64
d = 0
So, Your best answer choice is B.
Good Luck!!
•Comments•
Ask if you need help! Because I'm glad to help you.
By ☆Itsbrazts☆
If the Federal Resene sets the reserve rate to 20%, what is the resulting money multiplier?
Answer:
5
Step-by-step explanation:
Money multiplier helps to explain how an economic activity boosts the economic output for the country. It shows how saving in terms of deposit increases the net supply of money in any economy.
Money multiplier = 1/reserve ratio
given reserve ratio = 20% = 20/100 = 0.2
thus,
Money multiplier = 1/0.2 = 5
Help pls will give brainliest
Answer:
The surface area of the rectangular prism is 292 cm²
Find the measure of b+d.
Answer:
=90
Step-by-step explanation:
because d=32° and b=58°
this is because corresponding angles are equal
Answer:
Step-by-step explanation:
b+d =90 degree
hope it helps
PLEASE HELP WILL GIVE BRAINLY!!!!!!!
Which are the roots of the quadratic function f(q) = q^2 - 125? Select two options.
A) q= 5/5
B) q= -5/5
C) q= 3/5
D) q= -3/5
E) q= 25/5
Answer:
q = -5[tex]\sqrt{5}[/tex]
q = 5[tex]\sqrt{5}[/tex]
Step-by-step explanation:
Since there is no constant value. This must be a special case.
So,
(q+5[tex]\sqrt{5}[/tex])(q-5[tex]\sqrt{5}[/tex])
q = -5[tex]\sqrt{5}[/tex]
q = 5[tex]\sqrt{5}[/tex]
On a map the scale showing is 1 inch by 5 mi if a park is 75 square miles what is the area of the park on the map. The parks area is _____ square inches on the map
Answer: 15 square Inches
Step-by-step explanation: I believe you should divide 75 and 5(75mi÷5mi=15in) to get 15in.
Answer: 3 square inches.
If the park is 25 square miles, it could be 5×5 miles. If the scale is 1 inch = 5 miles, that would be 1×1 inch or 1 square inch on the map. Since 75 is 3×25, it will be 3×1 square inches on the map.
Step-by-step explanation: Remember that the scale represents linear measurements. For area, you must square the linear "sides" to get the number of actual square units represented by a square unit on the map.
can somewon help me plz can somewon help me
Hey there! I'm happy to help!
Let's look at our diameters.
[tex]1*10^2^1\\5*10^2^2[/tex]
We want to see how many times greater the diameter of the IC 1101 is than the Milky Way. So, we will divide it's diameter by the diameter of the Milky Way.
[tex]\frac{5*10^2^2}{1*10^2^1} \\[/tex]
We divide the numbers without exponents, giving us 5. Then, we divide the 10s with exponents. When dividing exponents, you subtract the numbers in the exponent to get your result. For example, x³÷x²=x
[tex]\frac{5*10^2^2}{1*10^2^1} = 5*10=50[/tex]
Therefore, your answer is 50.
Have a wonderful day! :D
URGENT!!!! PLEASE HELP NOW!!! WHO EVER GIVES THE CORRRECT ANSWER WILL GET BRAINLIEST!!!
Items Sold at a Clothing Store
The bar graph shows the number of each item sold at a clothing store. Which
statement about the graph is true?
Answer:
The correct ans is..... ( which i believe )
3rd option
Hope this helps...
Pls mark my ans as brainliest
If u mark my ans as brainliest u will get 3 extra points
Answer:
3rd option
Step-by-step explanation:
because 2/5 of 40 is equal to 16, and thats the equivelent of the pants sold.
apples are on sale for $3 and 12 per kilogram is the total cost of the apples proportional to the total yes or no
Answer:
yes the apples are porportinal
Step-by-step explanation:
Answer:
apple is proportional
Step-by-step explanation:
A formula to find the period, T, of cyclic phenomena based on the frequency, F is T= 1/F
Solve the formula for F in terms of T
Answer:
F = 1/T
Step-by-step explanation:
In order to solve for F, you would need to isolate F.
(F)T = 1/F (F) --> multiply F on both sides to cancel out the F on the right side
FT/(T) = 1/(T) --> divide T on both sides to cancel out the T on the left, so the F is isolated
F = 1/T
Hope this helps!
Answer:
F = 1/T
Step-by-step explanation:
T= 1/F
USING CROSS MULTIPLICATION TECHNIQE
T(F) = 1
DIVIDE BOTH SIDES BY T
F = 1/(T)
