Answer:
(c) 90°
Step-by-step explanation:
Given
[tex]xy = 0[/tex]
Required
The angle between the line
First, solve for x and y
[tex]xy = 0[/tex]
[tex]x = 0[/tex] or [tex]y=0[/tex]
This means that: y axis and x axis
The angle between the two axes is 90 degrees
Hence: (c) is correct
please help! find the key info for the graph given
A quart and a liter of the same kind of drink are on a shelf and are the same price. Which one should you pick if you are really thirsty?
quart
doesn't matter - they are the same amount
liter
EASY MATH QUESTION
the original price of a soccer ball is $25.00. if the soccer ball is discounted 25%, what is the new price?
Answer:
18.75 is the new price
At what point(s) do these graphs intersect?
y = x^2 + 3x - 5
y = 4x + 1
Seth's solution:
y = x^2 + 3x - 5
y = 4x + 1
x^2 + 3x - 5 = 4x + 1
x^2 - x - 6 = 0
(x - 3)(x + 2) = 0
x = 3 and x = -2
The graphs intersect at.(-20) and (3,0).
Is Seth's solution correct? Explain.
The graphs intersect at the points (3, 13) and (-2, -7).
How to determine the intersection of 2 graphsGiven the following equations:
y₁ = x² + 3x - 5 (quadratic equation)
y₂ = 4x + 1 (linear equation)
To find the intersection point(s) of the two graphs, we need to solve their equations simultaneously. By so doing, we'll set the equations equal to each other:
y₁ = y₂
x² + 3x - 5 = 4x + 1
collect the like terms
x² - x - 6 = 0
Now we'll factor the quadratic expression:
(x - 3)(x + 2) = 0
x - 3 = 0 or x + 2 = 0
x = 3 or x = -2
Now we have the points of intersection on the x-axis.
To get the corresponding values on the y-axis, we'll plug each value of x into either of the original equations.
Let's use the first equation:
y₁ = x² + 3x - 5
When x = 3:
y₁ = 3² + 3(3) - 5 = 13
When x = -2:
y₂ = 4x + 1 = 4(-2) + 1 = -7
So the first intersection point is (3, 13) and the second intersection point is (-2, -7).
Therefore, the graphs intersect at the points (3, 13) and (-2, -7).
Learn more about intersection here:
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what is 49, 423 rounded to the nearest ten thousand?
Answer:
50,000
Step-by-step explanation:
what equation describes a line that has a slope of 4/5 and a y-intercept of 2/5
Answer:
y = 4/5 x + 2/5
Step-by-step explanation:
A student purchased 9 binders for $11.07.
Solve the equation to determine the cost, in dollars, for each binder.
$
Answer:
$1.23
Step-by-step explanation:
9 binders for 11.07, where x = num of binders
9x = 11.07 [Divide both sides by 9]
x = $1.23
Answer:
each binder costs $1.23
Step-by-step explanation:
$11.07 divided by 9 equals $1.23
What is the theoretical probability (as a decimal rounded to the nearest hundredths place) of wearing one unique outfit?
Answer:
For a theoretical probability we need results of experiments
If the principal is $200 and the interest rate is 4 percent, what is the simple interest earned in one year?
А.$8
B.$50
C.$800
Answer:
A
Step-by-step explanation:
In a park, the ratio of adults to children is 11 to 9. If there are 320 people in the park, how many children are there?
Answer:
144
Step-by-step explanation:
320 ÷ 20 = 16
adults : children
11 : 9
9×16 = 144
solve for x:
(1/x) + (1/2x) = 18
Answer:
/sorry/
Step-by-step explanation:
How to solve your problem
(1)+(12⋅)=18
\frac{x}{(\frac{1}{x})}+(\frac{1}{2} \cdot x)=18
(x1)x+(21⋅x)=18
Solve
1
Combine multiplied terms into a single fraction
(1)+(12)=18
\frac{x}{(\frac{1}{x})}+(\frac{1}{2}x)=18
(x1)x+(21x)=18
(1)+(12)=18
\frac{x}{(\frac{1}{x})}+(\frac{1x}{2})=18
(x1)x+(21x)=18
2
Multiply by 1
3
Eliminate redundant parentheses
Solution
(1)+2=18
Which comparison statement describes the model below 6 6 6 6 24
An engineer is designing a fuel tank in the shape of a cylinder. The tank must have a volume of 3,500 cubic inches. The height of the cylinder must be twice the radius. What is the approximate radius of the cylinder?
8.2 inches
10.4 inches
12.1 inches
23.6 inches
By using the formula for the volume of a cylinder we will see that the approximate radius must be 8.2 inches.
How to get the radius of the cylinder?
Remember that for a cylinder of radius R and height H the volume is:
[tex]V = 3.14*R^2*H[/tex]
In this case, the height is twice the radius, so we have:
H = 2R
[tex]V = 3.14*R^2*2R = 6.28*R^3[/tex]
And we know that the volume must be 3,500 in^3, now we can replace that and solve for R, we will get:
[tex]3,500 in^3 = 6.28*R^3[/tex]
[tex](3,500 in^3/6.28)^{1/3} = R = 8.2 in[/tex]
The approximate radius of the cylinder must be 8.2 inches.
If you want to learn more about cylinders you can read:
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if x=2y - 1 and 2x3y + 2, then x = ?
Answer:
the value of x is 7
Step-by-step explanation:
The computation of the value of the x is given below:
Given that
x = 2y - 1...........(1)
2x = 3y + 2.................(2)
Put the equation 1 in equation 2
i.e.
2(2y - 1) = 3y + 2
4y - 2 = 3y + 2
y = 4
So,
x = 8 - 1
= 7
Hence, the value of x is 7
write an Equation for the angle relationship shown in the figure and solve for x. Find the measures of RQS and TQU?
Answer:
∠RQS = 21°
∠TQU = 28°
Step-by-step explanation:
90° + 221° + 3x + 4x = 360°
combine like terms:
7x + 311° = 360°
subtract 311° from each side of the equation:
7x = 49°
divide both sides by 7:
x = 7°
∠RQS = 3x = 3(7°) = 21°
∠TQU = 4x = 4(7°) = 28°
ok soo ima need help !! {re-posting this one}
question-
Select all of the ratios that are equivalent to 6:16.
2:8
3:8
12/18
30/80
18 to 48
Answer:
3:8
30/80
18 to 48
Step-by-step explanation:
3:8 (6 and 16 divided by 2)
30/80 (6 and 16 times 5)
18 to 48 (6 and 16 times 3)
In DEF, sin D = 24/26 What is cos E?
A. 24 26
B. 10 24
C. 10 26
D. 26 10
Answer:
your answer will be option A. 24/26
Step-by-step explanation:
hope it helps....
In [tex]\triangle[/tex] DEF, [tex]SinD = \frac{24}{26}[/tex] , then [tex]Cos \ E[/tex] will be equals to [tex]\frac{24}{26}[/tex] .
What are trigonometric ratios ?Trigonometric ratios are defined as the sides and angles of a right-angled triangle are dealt with in Trigonometry.
We have,
[tex]\triangle[/tex] DEF,
[tex]SinD = \frac{24}{26}[/tex]
We know that,
[tex]SinD=\frac{Perpendicular}{Hypotenuse}=\frac{EF}{ED}[/tex] and [tex]CosE=\frac{EF}{ED}[/tex]
Using Pythagoras Theorem,
[tex]P^{2} +B^{2} =H^{2}[/tex]
i.e.
[tex]EF^2+FD^2=EF^2[/tex]
[tex]24^{2} +FD^2=26^2[/tex]
[tex]FD^2=676-576[/tex]
[tex]FD=10[/tex]
But when we look from [tex]\angle E[/tex] for [tex]Cos E[/tex] then,
[tex]CosE=\frac{EF}{ED}[/tex]
so,
[tex]CosE=\frac{24}{26}[/tex]
So, the value of [tex]CosE=\frac{24}{26}[/tex] is derived using the Trigonometric ratios.
Hence, we can say that In [tex]\triangle[/tex] DEF, [tex]SinD = \frac{24}{26}[/tex] , then [tex]Cos \ E[/tex] will be equals to [tex]\frac{24}{26}[/tex] .
To know more about Trigonometric ratios click here
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f(x)=3(x-2)^2 +5 Find Vertex of Parabola given.
Find the simple interest on the following amounts:
a K4000 invested at 6% p.a. for 4 years
b K23 000 invested at 6.5% p.a. for 8 years
K580 borrowed at 5% p.a. for 9 months
inte
с
500
Answer:
a. Simple interest = K960
b. Simple interest = K11,960
c. Simple interest = K261
Step-by-step explanation:
Given the following data;
a. Principal = K4000
Interest rate = 6%
Time = 4 years
To find the simple interest;
Mathematically, simple interest is calculated using this formula;
[tex] S.I = \frac {PRT}{100} [/tex]
Where;
S.I is simple interest.
P is the principal.
R is the interest rate.
T is the time.
Substituting into the equation, we have;
[tex] S.I = \frac {4000*6*4}{100} [/tex]
[tex] S.I = \frac {4000*6*4}{100} [/tex]
[tex] S.I = \frac {96000}{100} [/tex]
S.I = K960
b. Principal = K23 000
Interest rate = 6.5%
Time = 8 years
To find the simple interest;
[tex] S.I = \frac {PRT}{100} [/tex]
Substituting into the formula, we have;
[tex] S.I = \frac {23000*6.5*8}{100} [/tex]
[tex] S.I = \frac {1196000}{100} [/tex]
S.I = K11,960
c. Principal = K580
Interest rate = 5%
Time = 9 months
To find the simple interest;
[tex] S.I = \frac {580*5*9}{100} [/tex]
[tex] S.I = \frac {26100}{100} [/tex]
S.I = K261
find the value for x
Answer:
X = 6°
Step-by-step explanation:
In a set of parallel lines, the opposite angles and corresponding angles are similar. Since the opposite angle of 110° is the corresponding angle of 19x - 4, you can conclude that 19x - 4 = 110° ⇒ 19x = 114° ⇒ x = 6°.
If f(x) and its inverse function, are both plotted on the same coordinate plane, where is their point of intersection?
Answer:
The point of intersection would be the point were both functions meet/cross paths.
Step-by-step explanation:
I don't know what the question looks like, if there is a graph or not, but the point of intersection is the point that both functions meet at the same place at the same time.
Hope this helps ^-^
what type of function is shown on the table below
Answer:
x-fx-x*x
Step-by-step explanation:
I am trying to find the answer to (in photo). But my calculator wont give me the answer. Does anyone know the answer to it? Or know how to calculate it without a calculator?
Answer:
[tex]\sqrt{13}[/tex] = 3.605551275......
Step-by-step explanation:
[tex]\sqrt{13}[/tex]
3.6
3 [tex]\sqrt{13}[/tex]
-9
36[tex]\sqrt{4}[/tex]00
do you need to know more... ??
9514 1404 393
Answer:
√13 ≈ 3.60555127546
"by hand": 3 4/7 or 398143/110425 or 3.6055 or 3 23/38
Step-by-step explanation:
Most on-line calculators, calculator apps for phone or tablet, and any spreadsheet can calculate this for you. The first attachment shows the result from the Go.ogle calculator.
Here, we describe 4 methods of approximating the root "by hand." That is, the calculations can be done with pencil and paper. They are easily within the capability of a 4-function calculator.
__
Method 1 -- Linear approximation
You can approximate it by hand in the following way.
√13 is between √9 = 3 and √16 = 4. As a first approximation, it is ...
3 + (13 -9)/(16 -9) = 3 4/7 ≈ 3.57 ≈ 3.6
This is a linear interpolation between √9 and √16.
_____
Method 2 -- Babylonian method
The "Babylonian method" can be used to refine this approximation. For the next guess, average this number and the quotient 13 divided by this number.
x = (3 4/7 + (13/(3 4/7))/2 = (25/7 + 13·7/25)/2 = (625 +637)/350 = 631/175
x = 3 106/175 ≈ 3.6057 . . . . . . good to 3 decimal places
One more iteration will double the number of correct decimal digits.
x = (3 106/175 + 13/(3 106/175))/2 = 398143/110425 ≈ 3.60555127915
(correct digits are highlighted)
_____
Method 3 -- "long division"
There is also a "long-division" method that develops the root one digit at a time. This is described in the second attachment, an extract from the NIST web site. For a number like 13, you would use 13.00 00 00 00 as the initial "dividend" to get a 4-digit root.
_____
Method 4 -- continued fraction
Once you realize that the root is between 3 and 4, you can write a "continued fraction" for the fractional part:
3 +x = √13 . . . . . . where x is the fractional part of the root
(3 +x)² = 13 . . . . . . square both sides
x² +6x +9 = 13 . . . expand the square
x(x +6) = 4 . . . . . . . subtract 9 and factor
x = 4/(6 +x) . . . . . . write as an iterator (continued fraction)
At this point, we can say x = p/q for some integers p and q. Then the next iteration is ...
p/q = 4/(6 +p/q) = 4q/(6q +p)
That is, successive approximations of x can be had by the transformation ...
(p, q) ⇒ (4q, 6q+p)
Starting with the linear interpolation fraction x=4/7, the next refinements using this method are ...
(p, q) = (4, 7) ⇒ (28, 46) = (14, 23)* ⇒ (92, 152) = (23, 38)
At this point, you have approximated the root as 3 23/38 ≈ 3.6053, accurate in the third decimal place. Convergence is clearly much slower than using the Babylonian method.
__
* We have reduced the fraction p/q = 28/46 to 14/23 in order to keep the numbers as small as possible. Similarly, 92/152 is reduced to 23/38.
Which situation is a result of focal policy
O A A Corporationis fines for violating regulations.
3. A school gets more money to buy computers,
O C. A bank offers a loan to a small business.
D. A consume hes limites options for food at a store
From the choices provided, select all the questions that represent statistical questions,
A What was the temperature at 5:00p.m. today in Boston?
B How many pieces of fruit were used to make Shawn's smoothie today?
How many states are there?
D What types of food do students in your school bring for lunch each day?
E How many books did each student check out at the library last year?
Answer:
all exept c i think
If n12=1536
then n=
Hellllllllllllllppppp
Answer:
this should help you understand...
Step-by-step explanation:
please help me with this asap
Answer:
Upper left is 9, upper right is 9, lower left is 21
Step-by-step explanation:
They tell us there are 9 birds that are yes fly and yes fish, so that’s the upper right.
They tell us there are 18 yes fish total. Subtract the 9 from the upper right, and that leaves 9 for the upper left.
They tell us there are 39 birds total.
39 - 18 (all fish eaters) - 4 (no fly, no fish) = 17 that can fly but don’t eat fish.
Make sense? lmk if you have questions
Find the value of x
Answer: 38
Step-by-step explanation:
10. A large shipment of video streaming devices is accepted upon delivery if an inspection of 20 randomly selected video streaming devices yields no more than 1 defective item. a. Find the probability that the shipment is accepted if 3% of the total shipment is defective. b. Find the probability that the shipment is accepted if 15% of the total shipment is defective.
Answer:
a) 0.8802 = 88.02% probability that the shipment is accepted
b) 0.1756 = 17.56% probability that the shipment is accepted if 15% of the total shipment is defective.
Step-by-step explanation:
For each item, there are only two possible outcomes. Either it is defective, or it is not. The probability of an item being defective is independent of any other item. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
20 randomly selected video streaming devices
This means that [tex]n = 20[/tex]
a. Find the probability that the shipment is accepted if 3% of the total shipment is defective.
3% defective means that [tex]p = 0.03[/tex]
Probability of at most 1 defective is:
[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{20,0}.(0.03)^{0}.(0.97)^{20} = 0.5438[/tex]
[tex]P(X = 1) = C_{20,1}.(0.03)^{1}.(0.97)^{19} = 0.3364[/tex]
[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.5438 + 0.3364 = 0.8802[/tex]
0.8802 = 88.02% probability that the shipment is accepted.
b. Find the probability that the shipment is accepted if 15% of the total shipment is defective
Now [tex]p = 0.15[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{20,0}.(0.15)^{0}.(0.85)^{20} = 0.0388[/tex]
[tex]P(X = 1) = C_{20,1}.(0.15)^{1}.(0.85)^{19} = 0.1368[/tex]
[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.0388 + 0.1368 = 0.1756[/tex]
0.1756 = 17.56% probability that the shipment is accepted if 15% of the total shipment is defective.
Solve for h -4(-6h - 7) = 9h + 10h - 7
Answer:
h=-7
Step-by-step explanation:
-4(-6h - 7) = 9h + 10h - 7
24h+28=19h-7
Both side -28
24h+28-28=19h-7-29
24h=19h-35
Both side -19h
24h-19h=19h-19h-35
5h=-35
h=-7
Answer:
h = -7
Step-by-step explanation:
-4(-6h-7)= 9h+ 10h-7
24h+ 28=19h-7
-19. -28. -19 -28
5h -35
h= -7
