Answer:
+15 degrees
Step-by-step explanation:
-3
-2
-1
0
1
2
3
4
5
6
7
8
9
10
11
12
Find the gradient of the line segment between the points (-2,3) and (2,4). Give your answer in its simplest form.
Answer:
slope = [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 3) and (x₂, y₂ ) = (2, 4)
m = [tex]\frac{4-3}{2+2}[/tex] = [tex]\frac{1}{4}[/tex]
Find the midpoint of the line segment with end coordinates of: ( − 2 , − 5 ) and ( 3 , − 2).
Give coordinates as decimals where appropriate.
Answer:
Midpoint of the line segment = ( 0.5 ,-3.5) =
Step-by-step explanation:
Given the co-ordinates of two points are
(-2 , -5) and ( 3, -2)
Let (x₁ , y₁) = ( -2 , -5)
(x₂ , y₂) = ( 3 , -2 )
Midpoint of the line segment
= [tex](\frac{x_{1} +y_{1} }{2}, \frac{x_{2}+ y_{2} }{2} )[/tex]
Midpoint of the line segment
= [tex](\frac{-2 +3 }{2}, \frac{-5- 2 }{2} )[/tex]
Midpoint of the line segment = ( 0.5 ,-3.5)
The Andersons can set up 6 tables in 1 hour. How many tables can they set up in 5 hours?
They can set up
_______ tables in 5 hours.
Answer:
To find this out, you simply multiply 6x5 which is 30
-12.40 in simplest from
Answer: [tex]- \frac{62}{5}[/tex]
Convert the decimal number into a fraction
Multiply by 10
[tex](- \frac{12.40}{1} ) (\frac{10}{10})[/tex]
[tex]- \frac{124}{10}[/tex]
Divide the fraction by 2
[tex]- \frac{62}{5}[/tex]
Helen has only 10 questions left to do of her Math homework. She
has 120 minutes before it's her bedtime and it takes 5 minutes to do
each Math question. Describe the pattern and determine how much
time she will have available after her homework is complete.
A)Start at 120 and add 5 each time. She will have 70 minutes of free time after she finishes her math questions.
B) Start at 120 and subtract 5 each time. She will have 70 minutes of free time after she finishes her math questions.
C)Start at 120 and subtract 5 each time. She will have 75 minutes of free time after she finishes her Math questions.
D) Start at 120 and subtract 5 each time. She will not have enough time to complete all of her math questions.
Suppose that you placed $500 in a bank account at the end of each year for the next 10 years. How much would be in that account at the end of the tenth year if the deposits earned an annual rate of return of 8% each year?
Answer:
5400$
Step-by-step explanation:
First, you need to figure out 8% of 500$.
That is 40$.
Now, you need to multiply 500 by 10, because there are 10 years.
That is 5000$
Now, we need to add the 8% that was added each year. So we do 40$ times 10. 400$
Then we add the 5000 and 400.
The answer is 5400$
I really hope this helped you! So sorry if it doesn't!
Which of the following shows the graph of y=-(2)^x-1
Answer:
option c
Step-by-step explanation:
Find the zero of the function f(x)=x-3
When you look at the equation it's basically in slope-intercept form
.[tex]f(x)=x-3[/tex] = [tex]y=x-3[/tex]
which mean that your coordinates would be (0, -3) and (3,0)
What is the equation of the line through (-2,-2) and (4,-5)?
Answer:
y=-3.5x+9
Step-by-step explanation:
the slope is determined by the y1-y2/x2-x1 which is equaled to -5-2/4-2 which is equaled to -7/2 which is -3 1/2 which is your m value in y=mx+b and you graph to get your b value (y-intercept) which is 9
How do you solve [tex]x^2 + 7x + 2 = 0[/tex]?
Answer:
-7 ± √6
x = ----------------
2
Step-by-step explanation:
You have several options here. One would be "completing the square," and another would be "quadratic formula."
Here the coefficients of this quadratic are a = 1, b = 7 and c = 2.
The discriminant is therefore b^2 - 4(a)(c), or 7^2 - 4(1)(2) = 6.
The roots are thus:
-7 ± √6
x = ----------------
2
The human lung has about 80 million alveoli. Give two features of the alveoli that allow large amounts of oxygen to enter the blood.
Answer:
Alveoli forms the respiratory surface in human body.Each alveolus is sac like structure bounded by a single layer of epithelial cells.It is bound on the outside by a network of capillaries. The pulmonary artery from the heart containing deoxygenated blood enters the lungs and then becomes oxygenated after passing in the capillaries through the lungs.
The diagram represents the factorization of a2+8a+12. A 2-column table with 2 rows. First column is labeled a with entries a squared, 2 a. Second column is question mark with entries 6 a, 12. First row is labeled a with entries a squared, 6 a. Second row is labeled 2 with entries 2 a, 12. What is the missing number that will complete the factorization? 6 8 12 24
Answer:
(A)6
Step-by-step explanation:
Given the quadratic expression: [tex]a^2+8a+12[/tex]
We factorize:
[tex]a^2+8a+12=a^2+6a+2a+12\\=a(a+6)+2(a+6)\\=(a+2)(a+6)[/tex]
Therefore, the missing number that will complete the factorization is 6.
Factorizing a² + 8a + 12 into (a + 2)(a + 6), the missing number to complete the factorization is: 6.
What is Factorization?Factorization can be defined as a process of resolving a product into factors.
Thus:
a² + 8a + 12
a² + 6a + 2a + 12
(a² + 6a) + (2a + 12)
a(a + 6) +2(a + 6)
(a + 2)(a + 6)
Therefore, factorizing a² + 8a + 12 into (a + 2)(a + 6), the missing number to complete the factorization is: 6.
Learn more about factorization on:
https://brainly.com/question/25829061
HELP ME FOR BRIANETEST
As indicated on the number line 1/3 is the same as 2/6 so we get
Answer: 2/6 + 5/6 = 7/6
I need help pleas help me it’s worth 38 pointsss I need help asap
Answer:
C
Step-by-step explanation:
The parent graph of this function is the absolute value, or |x|. However, it is shifted 8 units to the right and 2 units up. Therefore, the equation of this function is y=|x-8|+2, or answer choice C. Hope this helps!
help me now asap please
Answer:
C
Step-by-step explanation:
Let's first convert both Brooke's time and Lamont's time into the same unit so that we can more easily compare them. To make it simpler, we'll convert both times into minutes.
Brooke: 1 hr 45 min
We know that there are 60 minutes in 1 hour, so we essentially have:
60 min and 45 min ⇒ 60 + 45 = 105 min
Lamont: 115 min
This is already in minutes, so we don't have to do anything to it.
We now have 105 minutes for Brooke and 115 minutes for Lamont. Let's compare:
- Since we know Brooke took 105 minutes, we can eliminate A and B.
- Clearly, 105 < 115, which means Brooke took less time that Lamont to finish the race
- If Brooke took less time, that means she's faster.
Thus, the answer is C.
~ an aesthetics lover
Answer:
Time taken by Brooke = 1h 45min
= 60min + 45min
= 105min
Time taken by Lamont = 115min
Brooke finished in 105min, so she was faster.
Option 3 is correct.
Will Mark Brainliest ! Here is a picture of a cube, and the net of this cube.
What is the surface area of this cube?
Enter your answer in the box.
Answer: [tex]726 cm^{2}[/tex]
Step-by-step explanation:
surface area(SA)= [tex]6s^{2}[/tex]
= [tex]6*(11)^{2}[/tex]
= [tex]6*121[/tex]
= [tex]726 cm^{2}[/tex]
s= the length of the side of the cube
3a^2 * 2a^3
multiply the monomial
Answer:
6a^5
Step-by-step explanation:
3a^2*2a^3
3×2+a^2×a^3
6a^5
Answer:
The answer is 6a⁵.
Step-by-step explanation:
You have to use Indices Law,
[tex] {a}^{m} \times {a}^{n} \: ⇒ \: {a}^{m + n} [/tex]
So for this question :
[tex]3 {a}^{2} \times 2 {a}^{3} [/tex]
[tex] = (3 \times 2) \times ( {a}^{2 + 3}) [/tex]
[tex] = 6 \times {a}^{5} [/tex]
[tex] = 6 {a}^{5} [/tex]
PLEASE HELP ME WITH MATH
Answer:
Surface Area: 200.48 yd^2
Volume: 141.2 yd^3
Step-by-step explanation:
Rectangular Prism x1 = 148.48 yd^2
Let's start off by splitting this figure into three shapes, one rectangular prism and two triangular prisms. Find the surface area of the rectangular prism by finding the area of each side of it, (8 yd * 2.8 yd) for only the bottom, (8 yd * 4.8 yd) x 2 for the front and back, and (2.8 yd * 4.8) x 2 for the left and right side. You will get 44.8, 76.8 and 26.88 for a total of 148.48 yd^2.
Triangular Prism x2 = 52 yd^2
Find the area of one of the front triangles using the given 3 yd with a length of 4 yd given that one triangle takes up half the length of 8 yd horizontally. Use the triangle formula (length x width)/2 and substitute in values 3 and 4 above to get an area of 6 yd^2. Times that amount of yards by 4 since we have 3 remaining sides that are the same to get 24 yd^2, remember this for later. Almost there as we also have two rectangles on the triangular prisms: both with width of 5 yd and length of 2.8 yd, find area using l*w to get 14 yd^2. Add two of them to get 28 yd^2 for each rectangle. Add 24 yd^2 with 28 yd^2 to get a surface area of 52 yd^2 for BOTH the triangular prisms.
Finally add the surface area of the three figures to get a total surface area of 200.48 yd^2.
Now we move on to volume, which is actually more simple.
Formula of Rectangular Prisms = length x width x height
Formula of Triangular Prisms = (length x width x height) / 2
Volume of Rectangular Prism = (8 yd * 2.8 yd * 4.8 yd) = 107.52 yd^3
Volume of Two Triangular Prisms = (4 yd * 3 yd * 2.8 yd) / 2 = 16.8 yd^3 x 2
Finally add the volumes together to get your final volume.
107.52 + 16.8 + 16.8 = 141.2 yd^3
Sorry if this is long xd
The price of a gallon milk was $2.65 the price rose why dollars after the last hurricane then the price dropped $.15 and later Rosie came by five cents which expression represents the current price of milk
Answer:
p = y + 2.55
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
Please have a look at the attached photo.
The price of a gallon of milk was $2.65. The price rose y dollars after the last hurricane. Then the price dropped $0.15 and later rose again by $0.05. Which expression represents the current price of milk
My answer:
Let p is the price of milk
Given the information:
Stage 1: The price of a gallon milk was $2.65<=> p = 2.65
Stage 2: rose y dollar<=> p = 2.65 + y
Stage 3: price dropped $.15<=> p = 2.65 + y - 0.15
Stage 4: rose again by $0.05<=> p = 2.65 + y - 0.15 + 0.05
<=> p = y + 2.55
Hope it will find you well.
Pls select the correct answer
Answer:
B
Step-by-step explanation:
Rent paid by Julie = (1/3) of 3000
[tex]=\frac{1}{3}*3000\\\\=1*1000[/tex]
= £ 1000
Remaining amount after paying rent = 3000 - 1000 = £ 2000
Expenses : Savings = 7 : 3
Total part = 7 + 3 = 10
Saving part = 3/10
Amount saved = (3/10) of 2000
[tex]=\frac{3}{10}*2000\\\\=3*200[/tex]
= £ 600
Answer:
B
Step-by-step explanation:
one third of £3000 = £3000 ÷ 3 = £1000
£3000 - £1000 = £2000 ← amount left after paying rent
Add the parts of the ratio, 7 + 3 = 10 parts
Divide the amount left by 10 to find the value of one part of the ratio
£2000 ÷ 10 = £200 ← value of 1 part of the ratio, thus
3 × £200 = £600
Julie saves £600 each month
Za and Z6
are
complementary angles. Za measures 78°.
What is the measure of Zb?
Answer:
[tex] \boxed{\angle b = 12 \degree} [/tex]
Given:
[tex]\angle a \: and \: \angle b \: are \: complementary \: angles\\ \\ \angle a = 78 \degree [/tex]
Step-by-step explanation:
Two Angles are Complementary when they add up to 90° (a Right Angle).
[tex] = > \angle a + \angle b = 90 \degree \\ \\ = > 78 \degree + \angle b = 90\degree \\ \\ = > \angle b = 90 \degree - 78 \degree \\ \\ = > \angle b = 12 \degree[/tex]
Holly made 12 pair of earrings for each of her girlfriends. To wrap the pairs individually, she creates a simple cardboard gift box to fold into a pyramid. The base is a square with side lengths 10c m. The sides are 4 equilateral triangles with side lengths 10 cm and height h. The height h is approximately 8 2/3 cm. In square centimeters, what is the minimum amount of cardboard Holly needs to create 12 gift boxes to wrap each pair of earrings individually?
Answer:
3280cm²
Step-by-step explanation:
We are told the gift box is folded into a Pyramid with a square base.
Hence, we are to find the Surface Area of a square pyramid
From the question, we are given:
Length of the base of the square = 10cm
Triangle
Side length = 10cm
Height = 8 2/3 cm
A square Pyramid has 5 faces: 4 triangles and 1 square.
Step 1
Find the Area of the square
Formula = Side length² this is because all the side of a square is equal.
Length of the base = 10cm
Area of the square = (10cm)²
= 100cm²
Step 2
Find the Area of the triangle. We are told the 4 triangles are equilateral, which means their side are equal.
Hence, for one triangle.
Area of a triangle = 1/2 × base × height
Base = side length = 10cm
Height = 8 2/3 = 8.6666666667cm
Area of a triangle = 1/2 × 10 × 8.6666666667
Area of a triangle = 43.333333333cm²
Since we have 4 triangles
We would have : 4 × 43.333333333cm²
= 173.33333333cm²
The Area of the 4 equilateral triangles =
173.33333333cm²
Step 3
The Surface area of the Square Pyramid
= Sum of the areas of all the faces.
= 100cm² + 173.33333333cm²
= 273.33333333cm²
Therefore, the minimum amount of cardboard needed to make one gift box = 273.33333333cm²
Step 4
The minimum amount of cardboard Holly needs to create 12 gift boxes to wrap each pair of earrings individually is calculated as: 12 × 273.33333333cm²
= 3280cm²
What is the inverse of the function f(x) = one-quarterx – 12? h(x) = 48x – 4 h(x) = 48x + 4 h(x) = 4x – 48 h(x) = 4x + 48
Answer:
The inverse function h(x) = 4x + 48
Step-by-step explanation:
Here, we want to find the inverse of a function
The function is;
f(x) = x/4 -12
now, let this value equals m
so;
m = x/4 -12
we now try and make x the subject formula and this gives us the inverse.
m = (x-48)/4
4m = x -48
x = 4m + 48
substitute m for x
which implies 4x + 48
This is the inverse of the function
Answer:
D. h(x) = 4x + 48
A tennis ball is launched from the ground and follows a parabolic path represented by the equation y=−x2+7x, where x=seconds.At the same time, an arrow is shot from a height of 18 feet and follows a straight path represented by the equation y=−5x+25.Using your graphing calculator, when will the arrow pierce the tennis ball and a what height off of the ground?
Tessa is taking her family out to dinner and the bill is $250. She has a coupon for 15% off. After the discount is applied, she is going to add a 20% tip for their server. What is the total after the discount and the tip?
Answer:
$255
Step-by-step explanation:
250*.85=212.5
212.5*1.2=255
Find the distance between the points.
(5,-2),(-6,-2)
a recipe requires 3.5 teaspoons of sugar to make a tart which equation shows the number of teaspoons of sugar , y , needed to make x tarts?
Answer: x = 3.5y
Step-by-step explanation:
3.5 teaspoons of sugar (y) per tart (x) would look like this
You multiply 3.5 by y to equal x divided by 3.5
x = 3.5y
What is the value of the expression Negative 225 divided by (negative 15)?
Answer:
The Answer is 15
Step-by-step explanation:
the answer is 15 because that is what i got after i did all the work and i got it correct.
What is the price called at which the quantity demanded is equal to the
quantity supplied?
Hola
Done
Clear
Ali
what is factorization of the trinomial below 4x^2-20x+24 a)4x(x-4)(x-6) b)4(x-4 )(x-6) c)4(x-2)(x-3) d)4x(x-2)(x-3)
Answer:
4(x-3)(x-2)
Step-by-step explanation:
4x^2-20x+24
4(x-3)(x-2)
