Answer:
W' = 54.4 pounds
Step-by-step explanation:
Given that,
The weight of a bag of books = 40 pounds
After picking up some books at school, the weight has increased by 36%.
We need to find the weight of the bag now. Let the new weight is W'.
So,
W' = 40 +36% of 40
i.e.
[tex]W'=40+\dfrac{36}{100}\times 40\\W'=54.4\ pounds[/tex]
So, the new weight of the bag is equal to 54.4 pounds.
Which equation represents the parent function translated to the right 4 units and stretched by a factor of 5?
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete. So, I will solve a general solution, instead.
Let (x,y) be the parent function
First transformation: 4 unit right translation
The rule to this is: [tex](x,y) \to (x + b,y)[/tex]
Where b is the units of translation
i.e. [tex]b = 4[/tex]
So, we have;
[tex](x,y) \to (x + 4,y)[/tex]
Second transformation: Stretch by a factor of 5
The rule to this is: [tex](x,y) \to (x ,ay)[/tex]
Where a is the units of translation
i.e. [tex]a = 5[/tex]
So, we have;
[tex](x + 4,y) \to (x+4,5y)[/tex]
Hence, the transformation from the parent function to the new function is:
[tex](x + 4,y) \to (x+4,5y)[/tex]
What is the value of x? Round to the nearest tenth
Answer:
x = 8
Hope this helps!
Ty Given that the mzx is 30° in the diagram above, find the m_y.
9514 1404 393
Answer:
y = 30°
Step-by-step explanation:
Angles x and y are "vertical" angles, so are congruent.
x = y = 30°
What is the measure of ∡U in the figure shown? ∘
Answer:
∠ U = 70°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
120° is an exterior angle of the circle , then
∠ U + 50° = 120° ( subtract 50° from both sides )
∠ U = 70°
Raymond used 36 cubes to build the first layer of a rectangular prism. The edge length of each cube was 1 inch. The finished prism had a total of 8 layers. What is the volume of Raymond's prism in cubic inches?
Answer:
[tex]Volume = 288in^3[/tex]
Step-by-step explanation:
Given
[tex]Base\ Cubes = 36[/tex]
[tex]Layers = 8[/tex]
Required
The volume of the prism
The number of base cubes represents the base area and the number of layers represents the height of the prism.
So, the volume is calculated as:
[tex]Volume = Base\ Cubes * Layers[/tex] i.e Base Area * Heights
[tex]Volume = 36 * 8[/tex]
[tex]Volume = 36in^2 * 8in[/tex]
[tex]Volume = 288in^3[/tex]
does anyone know the answer?
Answer:
E
Step-by-step explanation:
Answer:
It's E l did that before
There were 120 water sports rentals available at the Little River Sports Shop. 20% of the rentals were kayaks. How many of the rentals were kayaks?
Answer:
[tex]24[/tex]
Step-by-step explanation:
[tex]20%[/tex] of [tex]120[/tex][tex]=24[/tex]
i need help with this please^^
Step-by-step explanation:
here's your solution
=> angle 3 and angle 8 are interior angles
we know that sum of both angle is 180°
=> angle 3 + angle 8 = 180°
=> angle 3 + 129° = 180°
=> angle 3 = 180° - 129°
=> angle 3 = 51°
now , angle 3 and angle 1 are vertical angle
hence both angle are equal
=> angle 1 = 51°
hope it helps 【€€】
Find the surface area of the sphere with a radius of 5.
Answer:
Step-by-step explanation:
Answer:
314.16
Step-by-step explanation:
4πr^2
4π(25)
100π
= 314.16
jamie is in charge of covering the display box in felt including the bottom what is the total area to be covered
a.23
b.176
c.172
d.1260
Answer:
c. 172 in^2
I did this!
The surface area of the solid is 176 in².
What is surface area?Surface area is the amount of space covering the outside of a three-dimensional shape.
Given that a solid figure made by joining two cuboids, we need to find the total surface area of the solid,
So, we will find the TSA of lower and upper cuboids and then minus the base area of the upper cuboid as it is a overlapping,
Also, the formula used for TSA of a cuboid = 2(LH + WH + LW)
L = length, W = width and H = height,
So,
TSA = 2(7·3 + 3·5 + 5·7) + 2(4·3 + 3·1 + 4·1) - 1·4
= 2(21 + 15 + 35) + 2(12 + 3 + 4) - 4
= 2 × 71 + 2 × 19 - 4
= 142 + 38 - 4
= 142 + 34
= 176 in²
Hence the surface area of the solid is 176 in².
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Need help with this question asap please please
Answer:
M< D = 105⁰
Step-by-step explanation:
the sum of the opposite angles of a cyclic quadrilateral is 180⁰
hence, <ADC + <ABC = 180⁰
<ADC + 75⁰ = 180⁰
<ADC = 180⁰ - 75⁰
< ADC= 105⁰
Help Please! :((( answer correctly please
Answer:
ILOVEMATH
10 = 90
11 = 35
12 = 16
13 = 200000
14 = 19
Step-by-step explanation:
Three fish are swimming at three different elevations: -1 foot, -5 feet, and - 8 feet. Which fish is closest to the surface of the water? How do you know?
Answer:
Fish with -1 foot
Step-by-step explanation:
- = under
+= above
If you set your water level to 0 then:
-1 +0 = -1 so the fish is 1 foot under the water level
-5 +0 = -5 do the fish is 5 foot under the water
And the last fish either jumped super high or it was hanging on a fishing line becouse it was 8 feet above the water level
So the fish that was the closes to the water level was the fish with -1
Suppose the volume of a rectangular pyramid is 45 cubic cm. What is the volume of a rectangular prism with the same base area and height? * 1 point A 15 cubic cm B 45 cubic cm C 90 cubic cm D 135 cubic cm
Answer:
15 cm³
Step-by-step explanation:
1/3(45) = 15
Mrs. Logan traveled at an average speed of 55 miles per hour for 3.5 hours and then traveled at an average speed of 60 miles per hour for 2.5 hours. What was the total distance in miles that Ms. Logan traveled during this time?
Answer:
55 mph for 3.5 hours would be 192.5 miles. 60 mph for 2.5 hours would be 150 miles. The total of mile Ms. Logan went is 342.5.
Which equation is written in slope-intercept form?
2x + 3y =5
2 x= 4y - 7
y-3 = 2(x - 1)
y= 3x +2
Answer:
y=3x+2
Step-by-step explanation:
slope intercept form
y=mx+b
y=y coordinate
m=slope
x=x coordinate
b= y-intercept
45% of Ms. Stacey's students will go on a field trip to the museum. If 90 of Ms. Stacey's students went to the museum field trip how many students does she have overall? A. 40.5 B. 50 C. 200
Answer:
c
Step-by-step explanation:
Number of students = number of students that went to the museum / percentage of students that went to the museum
90 / 0.45 = 200 students
Using the graph, determine the equation of the axis of symmetry
Find the circumference of the circle below. Hint: Use 3.14 for π.)
Use numbers only in your answer.
The circumference is
yd.
Answer:
[tex]\boxed {\boxed {\sf 163.28 \ yards}}[/tex]
Step-by-step explanation:
The circumference of a circle is the distance around the circle, or the perimeter. It is the product of pi and the diameter.
[tex]c= \pi \times d[/tex]
The diameter is the distance from one side to the other through the center. If we look at the circle given, we see the diameter must be 52 yards.
d= 52 ydAlso, remember we are using 3.14 for pi.
[tex]\pi[/tex]= 3.14Substitute these values into the formula.
[tex]c= 3.14 * 52 \ yd[/tex]
Multiply.
[tex]c=163.28 \ yd[/tex]
The circumference of the circle is 163.28 yards.
Answer:
[tex]\large\fbox{\purple{\underline{Circumference of circle is 163.28 yards}}}[/tex]
Step-by-step explanation:
In the question we have given
Diameter of circle is 52 yards
And Value of π = 3.14
We know that
Circumference of circle = π × diamter
putting the values
Circumference = 3.14 × 52 yards
by mutiplying we get,
Circumference of circle = 163.28 yards
Therefore, Circumference of circle is 163.28 yards
I need the answer ASAP please
Evaluate 8 + w/4 when w = 16 (please help_
8 + [tex]\frac{w}{4}[/tex] = 8 + [tex]\frac{16}{4}[/tex] = 8 + 4 = 12
1. Which of the following is the equation of a circle with center (a, −b) and radius r?
A. (x−a)2+(y+b)2=r2
B. (x+a)2+(y−b)2=r2
C. (x+a)2+(y−b)2=r
D. (x−a)2+(y+b)2=r
2. A given circle has the equation x2+y2−4x−2y+4=1. What is the center of the circle?
A. (1, 2)
B. (−2, −1)
C. (−1, −2)
D. (2, 1)
Answer:
1) A
2) D
Step-by-step explanation:
1) The equation of a circle is (x-h)²+(y-k)²=r² where (h,k) is the center and "r" is the radius of the circle. With a center of (a,-b) the equation of the circle is (x-a)²+(y+b)²=r² making A the correct answer.
2) Convert from general form into standard form:
Given: x²+y²-4x-2y+4=1
Rearrange: x²-4x+4+y²-2y=1
Set right side equal to 0: x²-4x+4+y²-2y-1=0
Complete the square: x²-4x+4+y²-2y-1+2=0+2
Evaluate: x²-4x+4+y²-2y+1=2
Condense: (x-2)²+(y-1)²=2
Therefore, the center of the circle is D) (2,1)
Can someone plz help me
Answer:
24°
Step-by-step explanation:
Supplementary angles: angles that add up to 180°
Thus, ∠A + ∠B = 180°
=> (x + 6)° + (7x + 30)° = 180°
=> 8x + 36 = 180
=> 8x = 180 - 36
=> 8x = 144
=> x = 18
∠A = (18 + 6)° = 24°
What is the volume of a sphere with a radius of 2.6 ft, rounded to the nearest tenth of
a cubic foot?
Answer:73.6fr^3
Step-by-step explanation:
The volume of the sphere is [tex]73.57ft^3[/tex].
What is the volume of sphere?
The volume of sphere is the amount of space occupied, within the sphere. The sphere is defined as the three-dimensional round solid figure in which every point on its surface is equidistant from its centre.
[tex]V=\frac{4}{3}\pi r^3[/tex]
here [tex]r[/tex] is the radius and it is [tex]r=2.6ft[/tex]
So,
[tex]V=\frac{4}{3}\pi r^3\\\\V=\frac{4}{3}(3.14)(2.6)^3\\\\V=\frac{4}{3}(3.14)(17.576)\\\\V=\frac{4(55.18)}{3}\\\\V=\frac{220.72}{3}\\\\V=73.57ft^3[/tex]
Hence, the volume of the sphere is [tex]73.57ft^3[/tex].
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Solve this 15 points HURRY UP
Answer:
23
Step-by-step explanation:
I think it is 23 so try this
Answer:
it's like calculating a volume in a prisim
14×6×6
504
Mr. Perrins’s class sold packs of peanut butter cookies for $2.35 each and Mr. Woods’s class sold bottles of milk for $1.34 each. Together, the classes sold 73 items and earned $141.25 for their school. Write and solve a system of equations that model the problem. Show all your work. (a) Which class earned more money? (b) How much more money did that class earn?
Answer:
1. Solution = (4,3) and they intersect.
2. Solution = Infinite, this means that the lines overlap each other constantly.
3. Equations = x + y=73 and 2.35x + 1.34y = 141.25
PB Cookies made $101.05
Milk Bottles made $40.02
The cookies made more by $61.03
Step-by-step explanation:
Took the test and got 100%.
The events x and y have a correlation coefficient of r = -0.08. What is the relationship between x and y?
Answer:
Very weak negative correlation/trend
Step-by-step explanation:
There's a very weak negative correlation between events x and y, given that r is negative, and the fact that r is very close to 0.
A spinner and 4 cards are shown below:
A spinner with 5 equal sectors is shown in the figure. The colors Green, Blue, Purple, Yellow, and Red are marked on it. The arrow points at the purple color. Four cards are shown on the right side. The colors Red, Yellow, Blue, and Pink are marked on them.
Jane spins the spinner and selects a card without looking. What is the probability that the spinner stops at purple and a pink card is selected?
1 over 20
1 over 5
1 over 4
9 over 20
Answer: 1 over 20
Step-by-step explanation: If the spinner has 5 parts to it at purple is one of those parts then the spinner has a 1/5 chance of it landing there.
If there are 4 cards and 1 of them are pink then there is a 1/4 chance of picking pink(if done randomly)
So if we mutiply 1/4 and 1/5, we get 1/20
That is how I arrived at my answer of 1 over 20
(-6, -7), (0, 0)
The distance between the two points is
units.
Answer: [tex]\sqrt{85}[/tex] or 9.2
Step-by-step explanation:
Select an equation that is equivalent to a^2-144b^2 a) (a-12b)^2 B) (a+12b)^2 C) (a-12b)(a+12b) C) a^2-24ab+144b^2
Answer:
C) (a-12b)(a+12b)
Step-by-step explanation:
a^2-144b^2 = (a-12b)(a+12b)
This is the formula that when two terms squared are written with a minus sign between them their factors are the product of the original numbers once with a plus sign and once with the minus sign.
This can be explained by multiplying them.
(a-12b)
*(a+12b)
a²- 12ab
+12ab - 144b²
a² +0 - 144b²
We see we get the same answer as applying the formula above.