Answer:
AC ≈ 23.6 units
Step-by-step explanation:
m∠CAD = 90°
CD = 2×14 = 28 , AD = 15
CD² = AD² + AC² ⇒ AC² = CD² - AD²
AC² = 28² - 15² = ( 28 - 15 )( 28 + 15 ) = 13 × 43 = 559
AC ≈ 23.6
Choose the function that represents the data in the table. f(x) = x200 – 7 f(x) = 200x – 7 f(x) = 200x2 – 7 f(x) = 200x – 7
The linear function that represents the data in the table is given by:
f(x) = 200x - 7.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.Researching the function on the internet, it is found that:
When x = 0, y = -7, hence the y-intercept is of b = -7.When x increases by 1, y increases by 200, hence, the slope is of m = 200.Thus, the function is given by:
f(x) = 200x - 7.
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Answer:
b
Step-by-step explanation:
f(x)=200x-7
How many millimeters are in 4.06 meters
Answer is 4060
hope this is helpfulhelpful
NEED EVIDENCE NOT JUST ANSWER There are 540 grams of sugar in 5 liters of soda. how many grams of sugar are in 3 liters of soda?
Work Shown:
(540 grams sugar)/(5 liter soda) = (x grams sugar)/(3 liter soda)
540/5 = x/3
540*3 = 5*x
1620 = 5x
5x = 1620
x = 1620/5
x = 324
3 liters of soda has 324 grams of sugar
If 5x+3/2=6-2/3x, what is the value of X
Answer:
x=12/17
Step-by-step explanation:
hope this helps
Delta Math: Angle Terminology with Equations
[tex]3x-30=2x-9\\\\\implies 3x -2x = -9 +30\\\\\implies x = 21[/tex]
Vertical angles are equal
3x-30=2x-93x-2x=-9+30x=21Done!
Alex opened a savings account with an initial deposit of $50. Each month, he deposits the same amount of money. He uses the equation t = 50 + 25m to determine t, the total amount of money in his savings account in m months. What is the unit rate and what is the meaning of the unit rate?
The unit rate is $25. The unit rate gives information on the amount by which the account increases per month.
What is the unit rate?The unit rate gives the amount by which the money in the account increases per month. It measures the rate of increase in the account.
In 1, month, the total value of the account would be: $50 + (25 x 1) = $75
In 2 months, the total value of the account would be: $50 + (25 x 2) = $100
In 10 months, the total value of the account would be: $50 + (25 x 10) = $300
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5/10= b/100 what is the answer to z
Answer:
B = 50
Step-by-step explanation:
[tex]\frac{5}{10} =\frac{b}{100}[/tex] do butterfly multiplication
[tex]5*100=500[/tex]
[tex]10*b=10b[/tex]
[tex]\frac{10b}{10}=\frac{500}{10}[/tex]
B = 50
pls help for this question!!!
Answer:
I think it would be 4+10=14 and the bigger number is 10
Step-by-step explanation:
forgive me if I'm wrong
One hundred thirty people were asked to determine how many cups of fruit and water they consumed per day. the results are shown in the frequency table. a 4-column table with 3 rows. the first column has no label with entries less than or equal to 4 cups of water, greater than 4 cups of water, total. the second column is labeled less than or equal to 2 cups of fruit with entries 62, 18, 80. the third column is labeled greater than 2 cups of fruit with entries 20, 30 , 50. the fourth column is labeled total with entries 82, 48, 130. identify the conditional relative frequency by row. round to the nearest percent. the conditional relative frequency that someone ate more than 2 cups of fruit, given the person drank less than or equal to 4 cups of water is approximately . the conditional relative frequency that someone ate less than or equal to 2 cups of fruit, given the person drank more than 4 cups of water is approximately .
Answer:
24% and 38%
Step-by-step explanation:
Answer:
24% and 38%
Step-by-step explanation:
Geometary formulas 7th grade
Sum of the interior angles of a polygon. (number of sides - 2) 180.
Area of a rectangle or a parallelogram. A = bh.
Area of a triangle. A = ½ bh.
Area of a trapezoid. A = ½ (b₁+b₂) h.
Area of a circle. A = πr²
Circumference of a circle. C = πd.
Surface area of a prism. S = 2B + Ph.
Surface area of a cylinder.
You deposit $2,000 into a bank account that will bay you 4. 8% interest APR ("annual percentage rate") compounded monthly. How much money will you have in 10 years?
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$2000\\ r=rate\to 4.8\%\to \frac{4.8}{100}\dotfill &0.048\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &10 \end{cases} \\\\\\ A=2000\left(1+\frac{0.048}{12}\right)^{12\cdot 10}\implies A=2000(1.004)^{120}\implies A\approx 3229.06[/tex]
Question 4 of 10
True or false? The graph represents a function
A. True
B. False
SUBMIT
Answer:
A. TrueStep-by-step explanation:
This curved line is called a function.
What Function is it?
This function is called a nonlinear function.Nonlinear functions are curved lines, going through some of the axis.
Linear functions are straight lines, and it will forever go left and right.
5 less than a number n is - 1
Answer: n is 4
Step-by-step explanation: n-5= -1
Add 5 to both sides
n=-1+5
n=4
Step-by-step explanation:
5 Less than a number n 1. if you want 5 less than what you start with, you must take away 5
What is the product of (2p 7)(3p2 4p – 3)? 6p3 29p2 – 34p 21 6p3 29p2 – 22p 21 6p3 29p2 22p – 21 6p3 29p2 34p – 21
The product of the two provided equations, obtained by multiplying each term of the first equation from the second one, is 6p³+29p²+22p-21.
What is the product of two equations?To multiply the two equation, each term of the first equation is multiples from the second term.
The first equation provided in the form of binomial as,[tex]2p+ 7[/tex]
The second equation provided in the form of quadratic equation as,[tex]3p^2 +4p-3[/tex]
The product of these two equations are,
[tex]P=(2p+7)\times (3p^2 +4p-3)\\P=6p^3+8p^2-6p+21p^2+28p-21[/tex]
Arrange the equation with the same power terms,
[tex]P=6p^3+8p^2+21p^2-6p+28p-21\\P=6p^3+29p^2+22p-21[/tex]
Hence, the product of the two provided equations, obtained by multiplying each term of the first equation from the second one, is 6p³+29p²+22p-21.
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what is the solution to the system y=4x+3 y=-1/4x+3
Answer:
Addition/Elimination
Step-by-step explanation:
Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.
Point Form:
(0,3)
Equation Form:
x=0,y=3
Answer answer answer
Answer:
B
Step-by-step explanation:
-6-19=25
Check:
6+19=25
Answer:
h=-6 aka b
Step-by-step explanation:
First start with h-19=-25
then h-19+19=-25+19
answer h=-6
3) Elliott is using cement circles to
create a walkway from his deck to his
driveway. One circle has an area of
200.96 inches. What is the radius of
one of the circles?
Answer: The radius is 8 inches
Step-by-step explanation:
The formula for the area of a circle is [tex]\pi r^2=A[/tex]
Where
A is the area (200.96 for this)
[tex]\pi[/tex] is pi (we'll round it to 3.14 for this)
and r is the radius
Let's sub in our values and solve for r
[tex]3.14r^2=200.96[/tex]
Divide both sides by 3.14 to isolate [tex]r^2[/tex]
[tex]\frac{3.14r^2}{3.14} =\frac{200.96}{3.14} \\\\r^2=64[/tex]
Take the square root of both sides to cancel the square
[tex]r^2=64\\\sqrt{r^2} =\sqrt{64} \\r=8[/tex]
What is the 12th term of the geometric sequence 2,10,50,250
Gagu is paid £1200 per month.
He is going to get a 4% increase in the amount of money he is paid.
Work out how much Gagu will be paid per month after the increase.
Answer:
£1248
Step-by-step explanation:
1200x4%
=£48
1200+48=£1248
Gagu will be paid £1248 after the increase.
The amount Gagu paid per month after the 4% increment is £1248
What is the method to calculate x% increment?If there is x% increment in y then the increment will be (x/100)*y and the new amount after x% increment will be now y + (x*y)/100
Given that Gagu is paid £1200 per month. He is going to get a 4% increase in the amount of money he is paid.
Initial payment = £1200
4% increment = 4% of initial pay = 4(1200)/ 100 = £ 48
After increment new payment = Initial payment + 4% increment = 1200+48
= £1248
Therefore, The amount Gagu paid per month after the increase is £1248
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If shape 1 is a scaled copy of shape 2, what angle corresponds to angle C?
Select one:
Y
Z
X
W
Assessment question image
Step-by-step explanation:
Angle W is the corresponds as to angle C
Find the circumference of both circles.
2 in.
14 in.
Answer:
Depends...
Step-by-step explanation:
If 2in and 14 in are diameter
C=2pi in.
C=14pi in.
If 2in and 14in are radii
C=4(pi).
C=28(pi)
A and B are complementary. If mB=26 degrees what is the measure of A?
Answer:
26
Step-by-step explanation:
complementary means same. so A and B are 26.
A company has made a rubber ball for $0. 02 per square foot. The company wants to spend a maximum of $1 each on a new ball.
What is the diameter of the new ball to the nearest tenth of a foot?
A.
4. 6 feet
B.
2. 9 feet
C.
5. 8 feet
D.
2. 3 feet
The diameter of the new rubber ball, to the nearest foot, must be D = 4.0 ft (in the case of the maximum cost).
How to find the diameter of the ball?Remember that for a sphere of diameter D, the surface area is:
A = 4*pi*(D/2)^2
In this case, the cost is $0.02 per square foot, and the company wants to expend (at maximum) $1 per ball, so first we need to solve:
$0.02*A = $1
A = $1/$0.02 = 50
So the surface of the ball must be 50 square feet.
Then we solve:
50ft^2 = 4*3.14*(D/2)^2
D = 2*√(50 ft^2/(4*3.14)) = 4.0 ft
If you want to learn more about spheres, you can read:
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What is 40% of 355.00?
Answer:
142
Step-by-step explanation:
Answer:
142
Step-by-step explanation:
In a 30 - 60 - 90° triangle x= 7.5 feet
What is the length of the hypotenuse?
Pls help me I need the answer with how u did it pls
Answer:
125 degrees
Step-by-step explanation:
5x=3x+50
5x-3x+50
2x=50
x=25
5x=25x5
=125
If i have 37 test left and do 6 a day how many weeks will that take me to be done
Answer:
1 week
Step-by-step explanation:
All you need to know from problem 6 is that the obelisk is 27m tall. Could someone please help?
Answer:
250
Step-by-step explanation:
x5 -6x³ -8x * 3a²x²
Multiplicar /Multiply
Answer:
Step-by-step explanation:
3a^2x^2 (x^5 -6x^3 - 8x)
= 3a^2x^2 * x^5 - 3a^2x^2 * 6x^3 - 3a^2x^2 * 8x
= 3a^2x^7 - 18a^2x^5 - 24a^2x^3.
3x(7)+23
what's the answer?
Answer:
21x+23
Step-by-step explanation:
Answer:
The answer is 21x+23
Step-by-step explanation:
Since it's parentheses you can multiple 3 by 7 which is 21.