Answer:
The equation of the line, in standard form, that has an x-intercept of 2 and is parallel to 2x+y=-5 is 2x+y=4
sixty students were surveyed at random about their favorite music genre. Out of population 1,000 students, how many how many will prefer pop music?
So we want to know how many out of 1000 people did not listen to any type of the three music types that were surveyed If 30% of people listened to pop, 26% of people listened to rock and 20% of people listened country music. So first lets see how many people liked the three types of music: 30%+26%+20%=76%. So 24% of people did not like the three types of music that were surveyed. Finally we need to see how many people in 1000 is 24%. 24% out of 1000 people is 0.24*1000=240 people. So 240 people didn't like the 3 types of music.
What is the length of the hypotenuse?
Answer:
Step-by-step explanation:
First things first, let's explain what a right triangle is. The definition is very simple and might even seem obvious for those who already know it: a right-angled triangle is a triangle where one and only one of the angles is exactly 90°. The other two angles will clearly be smaller than the right angle because the sum of all angles in a triangle is always 180°. In a right angled triangle the sides are defined in a special way. The side opposing the right angle is always the biggest in the triangle and receives the name of "hypotenuse". The other two sides are called catheti. The hypotenuse is opposite the right angle and can be solved by using the Pythagorean theorem. In a right triangle with cathetus a and b and with hypotenuse c, Pythagoras' theorem states that: a² + b² = c².
To solve for c, take the square root of both sides to get c = √(b²+a²). This extension of the Pythagorean theorem can be considered as a "hypotenuse formula".
Steps to solve:
[tex]c=\sqrt{a^{2} +b^{2} } \\c=\sqrt{1.3^{2} +6.1^{2} } \\c=\sqrt{1.69+37.21} \\c=\sqrt{38.9} \\c=6.236986[/tex]
Victoria was given the expression 5x - 4x^2 - 1 + x - 8x^2 + 7 and asked to simplify it. How can she simplify the expression?
A. -12x^2 + 6x + 6
B. 13x^2 - 5x + 6
C. -4x^2 + 6x + 8
D. 4x^2 + 4x + 8
Answer:
the answer is C I hope this helps
The expression after simplifying is -12x² + 6x + 6.
Option A is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
5x - 4x² - 1 + x - 8x² + 7
Add like terms.
6x - 12x² + 6
-12x² + 6x + 6
Thus,
The final expression is -12x² + 6x + 6.
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From the top of a cliff, the angle of depression of a boat on the sea is 22°. If the height of the cliff above sea level is 40 m, calculate, correct to two significant figures, the horizontal distance of the boat from the bottom of the cliff.
Answer:
= 25√3/3
Step-by-step explanation:
x/25 = tan 30o
x = 25/√3
= 25√3/3
Determine the equation of the line tha has an x-intercept of 4 and a y intercept of-3
Answer:
[tex]y=\frac{3}{4} x-3[/tex]
Step-by-step explanation:
Given information: x-int: 4 and y-int:-3
x-int point : (4,0).
y-int point : (0,-3).
Plug this information to point-slope form to solve for m and then convert that to slope-intercept form.
[tex]y-y_0=m(x-x_0)\\0-(-3)=m(4-0)\\3=4m\\m=\frac{3}{4} \\[/tex]
[tex]y-y_0=m(x-x_0)\\y-(-3)=\frac{3}{4} (x-0)\\y+3=\frac{3}{4}x\\y=\frac{3}{4}x-3[/tex]
What is the value of 3(a-9) when a =6
Answer:
-9
Step-by-step explanation:
We are given the value of "a", which is 6. Let us substitute the value of "a" into the expression to determine a numerical value of 3(a - 9).
⇒ 3(a - 9)⇒ 3[(6) - 9] . . . . . . . . {a = 6}Open the parentheses to simplify the expression inside the long brackets [ ].
⇒ 3[(6) - 9] . . . . . . . . {a = 6}⇒ 3[6 - 9]Subtract the expression inside the long brackets [ ]
⇒ 3[6 - 9]⇒ 3[-3]Finally, simplify the product of 3 and -3.
⇒ 3[-3] ⇒ 3 × -3 = -9Therefore, -9 is the value of 3(a - 9) when a = 6.
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[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{3(a - 9)}\\\\\mathsf{= 3(\bold{6} - 9)}\\\\\mathsf{= 3(6) + 3(-9)}\\\\\mathsf{= 18 - 27}\\\\\large\text{OR EVEN \rm{3(-3)}}\\\\\mathsf{= 3(-3)}\\\\\mathsf{= -9}\\\\\\\\\huge\text{Therefore, the answer is: \boxed{\mathsf{-9}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
What multiplication problem is represented by this grid?
The multiplication problem represented by this grid is 0.7 x 0.4 = 0.28
Sure hope this helps you
Find the surface area and volume of the prism.
10 cm
6 cm
8 cm
The surface area of the prism is
The volume of the prism is
17 cm
cm².
cm³.
I’ll mark you as Brainly please help
Multiply 9/8 x 7/8 what is it fraction?
Answer:
63/8
Step-by-step explanation:
For this question all you have to do is times the 9 and 7 and put the denominator(in this case 8) underneath to make a fraction. The answer totals as 63/8 or 7 and 7/8.
Ali and Mo share a sum of money in the ratio Ali:Mo = 9:7 . Ali recieves $600 more than Mo. Calculate how much each recieves.
Answer:
A = 2700 M = 2100 dollars
Step-by-step explanation:
9 + 7 = 16 shares
2 shares more = 600
1 share = 300
9 shares * 300 = 2700
7 shares x 300 = 2100
PLEASE HELP PLEASE HELP
Answer: 20:21
Step-by-step explanation: The Greatest Common Factor is 4, 80 divided by 4 is 20 and 84 divided by 4 is 21
Hope this helps
Answer:
20:21
Step-by-step explanation:
Expressing a number or more in their simplest form simply means expressing them to their lowest terms. You can divide 80:84 with 2 or 4. To make it faster, just divide both by 4 and you'll get 20:21 which is the final answer, no other number can divide 20:21.
I hope this helps.
write two equations that when graphed look like this *see image*. please help its due soon and i will give ya 75 points for answering CORRECTLY thanks, 5 stars, and brainlist. Thank ya
The graph is showing the equation of circle x²+y²=4
What is a circle?A circle is a two-dimensional geometry on the plane having a centre point and the circular line is drawn equidistant from the centre point.
The given graph in the question represents the equation of the circle cutting the points on the x-axis and y-axis at 4 which is the radius of the circle.
The equation will be as follows:-
x²+y²=4
Hence the graph is showing the equation of circle x²+y²=4
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Determine two coterminal angles in radian measure (one positive and one negative) for each angle.
The two coterminal angles in radian measure (one positive and one negative) for each angle for figure 1 and 2 are,[(13π/4),(-π/4) and [(7π/4),(-17π/4) rad] respectively.
What is coterminal angle ?Angles having the same terminal side at standard position are called coterminal angles.
Although the magnitudes of coterminal angles varies, they all have the same sides and vertices.
Positive or negative coterminal angles are possible. The positive coterminal is obtained by adding 2 rad or 360° to the negative coterminal, while the negative coterminal is obtained by removing 2 rad or 360°.
For figure 1;
The positive coterminal angle is found as;
[tex]\rm \rightarrow \theta + 2 \pi \\\\ \rightarrow \frac{5 \pi}{4} + 2 \pi \\\\ \rightarrow\frac{13 \pi}{4} \ rad[/tex]
The negative coterminal angle is found as;
[tex]\rm \rightarrow \theta - 2 \pi \\\\ \rightarrow \frac{5 \pi}{4} - 2 \pi \\\\ \rightarrow\frac{-3 \pi}{4} \ rad[/tex]
For figure 2;
The positive coterminal angle is found as;
[tex]\rm \rightarrow \theta + 2 \pi \\\\ \rightarrow \frac{-9\pi}{4} + 2 \pi \\\\ \rightarrow\frac{7 \pi}{4} \ rad[/tex]
The negative coterminal angle is found as;
[tex]\rm \rightarrow \theta - 2 \pi \\\\ \rightarrow \frac{-9 \pi}{4} - 2 \pi \\\\ \rightarrow\frac{-17 \pi}{4} \ rad[/tex]
Hence,the two coterminal angles in radian measure (one positive and one negative) for each angle for figure 1 and 2 are,[(13π/4),(-π/4) and [(7π/4),(-17π/4)] respectively.
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This figure represents a small keepsake box. Holly wants to cover 35 of the surface with stickers.
How much of the total surface will be covered with stickers?
Enter your answer as a decimal or mixed number in simplest form in the box.
The amount of the surface area covered with stickers is 0.6 or 60%
How to determine the covered area?The amount of area to cover is given as:
Covered area = 3/5
Express as percentage
Covered area = 3/5 * 100%
Divide 3 by 5
Covered area = 0.6 * 100%
Evaluate the product
Covered area = 60%
Hence, the amount of the surface area covered with stickers is 0.6 or 60%
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Answer:
135.93
Step-by-step explanation:
I took the test
Mrs. Cox measured the height of seven students. What is the combined height of the tallest and shortest student?
Answer:
8 feet
Step-by-step explanation:
3 + 5 = 8
..................................................
Manny buys a new grill that costs $375. The grill is discounted 22% and sales tax is 6.5%. How much does Manny pay for the grill? ( NEED HELP ASAP!!)
Answer:
$310.05
Step-by-step explanation:
Method 1: Find the amount of 22% discount and subtract from original price, and find the amount of 6% tax and add to discounted price.
Original price: $375
Discount of 22%
22% of $375 = 0.22 × $375 = $82.50
Price after discount (but before tax): $375 - $82.50 = $292.50
Sales tax of 6%
6% of $292.50 = 0.06 × $292.50 = $17.55
Price after discount and tax: $292.50 + $17.55 = $310.05
Method 2: Add and subtract the discount percent and the tax percent first, then multiply.
Original price: $375
The discount is 22%.
The original price is 100%.
Subtract 22% from 100%: 100% - 22% = 78%
The discounted price is 78% of the original price.
Once you have the discounted price, tax is 6%.
The new discounted price is 100%. Add 6% to get 106%.
The price with tax is 106% of the discounted price.
106% of 78% of $375 = 1.06 × 0.78 × $375 = $310.05
Answer: $310.05
XY is dilated by a scale factor of to form X'Y'. X'Y' measures 2. What
is the measure of XY?
Answer:
11
Step-by-step explanation:
if the other things are the XY and XY, then the other one needs to measure 11.
Consider the differential equation (x - 1)y" + y' = 0. By using power series so- lution about the ordinary point 0 we obtain: c_{k+1)=[(k+1)/(k+2)] C_(K); k=1,2,3.... c_(K+2)=[(k+1)/(k+2)] C_(K+1); k=0,1,2,3... None of them c_(k+2)=[(k+1)/(k+2)] C_(k+1); k=1,2,3....
Given the ODE
(x - 1) y'' + y' = 0
we assume a solution of the form
[tex]y(x) = \displaystyle \sum_{n=0}^\infty c_n x^n[/tex]
with derivatives
[tex]y'(x) = \displaystyle \sum_{n=0}^\infty n c_n x^{n-1} = \sum_{n=0}^\infty (n+1) c_{n+1} x^n[/tex]
[tex]y''(x) = \displaystyle \sum_{n=0}^\infty (n+1) n c_{n+1} x^{n-1} = \sum_{n=0}^\infty (n+2)(n+1) c_{n+2} x^n[/tex]
Substituting these series into ODE gives
[tex]\displaystyle (x - 1) \sum_{n=0}^\infty (n+2)(n+1) c_{n+2} x^n + \sum_{n=0}^\infty (n+1) c_{n+1} x^n = 0[/tex]
[tex]\displaystyle \sum_{n=0}^\infty (n+2)(n+1) c_{n+2} x^{n+1} - \sum_{n=0}^\infty (n+2)(n+1) c_{n+2} x^n + \sum_{n=0}^\infty (n+1) c_{n+1} x^n = 0[/tex]
[tex]\displaystyle \sum_{n=1}^\infty (n+1)n c_{n+1} x^n - \sum_{n=0}^\infty (n+2)(n+1) c_{n+2} x^n + \sum_{n=0}^\infty (n+1) c_{n+1} x^n = 0[/tex]
[tex]\displaystyle \sum_{n=1}^\infty \bigg((n+1)n c_{n+1} - (n+2)(n+1) c_{n+2} + (n+1) c_{n+1}\bigg) x^n - 2c_2 + c_1 = 0[/tex]
[tex]\displaystyle \sum_{n=1}^\infty \bigg((n+1)^2 c_{n+1} - (n+2)(n+1) c_{n+2}\bigg) x^n - 2c_2 + c_1 = 0[/tex]
[tex]\displaystyle \sum_{n=0}^\infty \bigg((n+1)^2 c_{n+1} - (n+2)(n+1) c_{n+2}\bigg) x^n = 0[/tex]
Then the coefficients [tex]c_n[/tex] are given recursively by
[tex](n+1)^2 c_{n+1} - (n+2)(n+1) c_{n+2} = 0[/tex]
for all n ≥ 0, or equivalently,
[tex]c_{n+2} = \dfrac{n+1}{n+2} c_{n+1}[/tex]
which most closely resembles the second choice.
Which number is equal to 4/2?
The number that is equal to [tex]\frac{4}{2}[/tex] is 2
How to find the number that is equal to 2
When you ask "What is 4/2 as a whole number?" you are asking to convert the fraction [tex]\frac{4}{2}[/tex] to a whole number.
The fraction [tex]\frac{4}{2}[/tex] has a numerator of [tex]4[/tex] and a denominator of [tex]2[/tex]. To convert [tex]\frac{4}{2}[/tex] to a whole number, you simply divide the numerator by the denominator.
Given that:
[tex]\frac{4/2=2}{2/2=1} =\frac{2}{1}=2[/tex]
Therefore, The number that is equal to [tex]\frac{4}{2}[/tex] is 2
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Hi Guys I'm stuck on this question
write x^2-4x+2 in the form (x-A)^2+B
Answer:
(x-2)^2-2
Step-by-step explanation:
x^2-4x+2
take the x out
x(x-4) + 2
(x-2)^2-2
because (x-2)^2 is
x^2-4x+4
its like completing the square
Answer:
(x-2)² -2
Step-by-step explanation:
Consider that (a+b)² = a²+2ab+b²
To find the form (x-A)²+B compare x²-4x+2 with a²+2ab+b²
x² - 4x +2
a² + 2 a b+ b², so a= x and b = (-2)
x²+ 2· x ·(-2)+ (-2)² - 2 = (x-2)² -2 is in the form (x-A)²+B
Check our answer:
(x-2)² -2= (x²-2·2x+4)-2 = x²-4x +2 ✅
What is the common difference if the arithmetic sequence below? -5,-1,3,7…..
Answer:
4
Step-by-step explanation:
-1 - (-5) = 4
3 - (-1) = 4
7 - 3 = 4
PLEASE HELP ME FOR BRAINLIEST
Answer: The answer is d
Step-by-step explanation:
At another park in Chicago, neighbors get together to plan a community garden. Plans for the community garden are shown below. celery tomatoes 6 yds spinach carrots watermelon 12 yds red peppers 8 yds a) The members of the gardening group plan to build a walkway through the garden as formed by the hypotenuse of each of the four triangles in the drawing. That way, the gardeners will be able to access all sections of the garden. Calculate the length of the entire walkway to the nearest hundredth of a yard. Show your work. (4 points-1 point for each length calculation and 1 point for the total distance) *** 15 yds
Answer:
we can use the pythagorean theorem to each of those right triangles to find the lengths of the pathways
Step-by-step explanation:
for the spinach celery walkway,
d=[tex]\sqrt{6^{2}+8^{2}[/tex] = 10 yd
for each watermelon walkway,
d=[tex]\sqrt{8^{2}+12^{2}[/tex] = 14.42 yd
from the carrots red peppers walkway,
[tex]b^{2}+12^{2} = 15^{2}[/tex]
b=[tex]\sqrt{15^{2}-12^{2}[/tex]= 9yd
for each tomatoes walkway;
d=[tex]\sqrt{6^{2}+9^{2}[/tex] = 10.82 yd
so the total length of the walkway is = 10+14.42+15+10.82 = 50.24 yd
Find the value of x
A 20
B 60
C 50
D 45
E 30
Answer:
the answer is letter E.
see the attachment.
Triangle
RST is graphed on a coordinate plane with vertices
R(-2, -2),
S(5,-1), and
T(-1,-4). Which of the following methods would
prove that triangle
RST is a right triangle? Select ALL that apply.
A. Applying the slope formula on each of the sides and showing that two of the slopes are negative reciprocals.
B. Applying the distance formula on each of the sides and showing that the three lengths satisfy the converse of the Pythagorean Theorem.
C. Applying the midpoint formula on two of the sides and showing that the segment with the two midpoints as endpoints is half the length of the third side.
Answer:
A. and B.
Step-by-step explanation:
a number 1-72 is chosen at random find each probability
P( multiple of 9)
The selection of a random number from 1 - 72 is an illustration of probability, and the probability of selecting a multiple of 9 is 1/8
How to determine the probability?The sample size is given as:
n = 72
There are 8 multiples of 9 from 1 to 72.
So, the probability that a multiple of 9 is selected is:
P(Multiple of 9) = 8/72
Simplify
P(Multiple of 9) = 1/9
Hence, the probability of selecting a multiple of 9 is 1/8
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Area for 10 1/4 and 10 1/2
Please help me with this really please
Answer:
You need 443.2 square inches of wrapping paper to completely cover the prism.
Step-by-step explanation:
Calculate the area of each side.
Triangles:
Base * Height * 1/2
10 in. * 8.7 in. * 1/2
87 in.^2 * 1/2
43.5 in.^2
There are two sides with the triangle so we multiply the 43.5 in.^2 by two
(43.5 in.^2) * 2
87 in.^2
Side Rectangles:
Length * Width
13 in. * 8.7 in.
113.1 in.^2
There are two sides with this size rectangle so we multiply the 113.1 in.^2 by two
(113.1 in.^2) * 2
226.2 in.^2
Bottom Rectangle
Length * Width
13 in. * 10 in.
130 in.^2
There is only one side with the bottom rectangle.
Add up all the calculate areas.
Triangles + Side Rectangles + Bottom Rectangle
87 in.^2 + 226.2 in.^2 + 130 in.^2
443.2 in.^2
At the school track meet, Dita ran 100 meters at a rate of 6.25 meters per second.
Time = StartFraction distance Over rate EndFraction
How long did it take Dita to finish the race?
16 seconds
93.75 seconds
106.25 seconds
625 seconds
original equation
[tex]v=\frac{d}{t}[/tex]
solve for t
[tex]t=\frac{d}{v}\\\\t=\frac{100}{6.25} \\\\t=16[/tex]
It took Dita 16 seconds to finish the race
Answer:
a
Step-by-step explanation:
aaaaaaa
its a
16 seconds
How do I do the math here? I am not sure how to set it up with having only one angle to work with.
Answer:
angle A = 112 degrees
Step-by-step explanation:
Angle ADC is bisected (given) ...so angle 1 = angle 2
then angle D = 68 degrees
now you have to remember that adjacent corners (angles on the same LEG) of a trapezoid sum to 180 (they are 'supplementary' )
angle A = 180 - 68 = 112 degrees