Answer:
390 and 715
Step-by-step explanation:
Answer:
Charlie invests $325 in an account that pays 8% simple interest for 15 years.
Use the simple interest formula, I = P ∙ r ∙ t, to answer the following questions.
How much interest will Charlie’s initial investment earn over the 15-year period?
✔ $390
How much money does Charlie have after the 15 years?
✔ $715
Step-by-step explanation:
Help please! I really don't know this! I will mark brainliest if you get it right!!!
Each of the dimensions of a pyramid are doubled. What is true about the volume of the new pyramid?
A) The new pyramid has a volume that is One-half the volume of the original pyramid.
B) The new pyramid has a volume that is 2 times the volume of the original pyramid.
C) The new pyramid has a volume that is 4 times the volume of the original pyramid.
D) The new pyramid has a volume that is 8 times the volume of the original pyramid.
Answer:
D
Step-by-step explanation:
Given that the scale factor of the new to old pyramid is k = 2
Then the volume of the new pyramid is k³ times the volume of the original.
k³ = 2³ = 8
The new pyramid has a volume that is 8 times the volume of the original D
what is the positive slope of the asymptote of (y+11)^2/100 - (x-6)^2/4 = 1? The positive slope of the asymptote is
Answer:
5
Step-by-step explanation:
its 5 on Edge just took the test!
Answer:
It's 5
Step-by-step explanation:
Just like the person above me, I did it on edge...
Which function passes through the points (2, 3) and (4, 4)?
Options are shown in the pic
*WILL MARK BRAINLIEST* - 20 POINTS
Answer:
C
Step-by-step explanation:
When you substitute the coordinate values into the equation, you should get an number that is equal on both sides. This occurs only in equation C.
Answer:
C,E and i would kinda think also B
but idk if u can choose three so yh
and i hope its right bc i remember doing this but my memory is vauge :)
Step-by-step explanation:
To visit his grandmother, Luis takes a train 6.37 kilometers and a car 5.45 kilometers. How many kilometers is Luis journey total?
Answer:
11.82 km
Step-by-step explanation:
6.37+5.45
Which set of numbers can represent the side lengths, in inches, of an acute triangle? 4, 5, 7 5, 7, 8 6, 7, 10 7, 9, 12
oof
Answer:
4 5 7
Step-by-step explanation:
i know it
Answer:
Set B i.e., 5 , 7 , 8 represent the side of acute angled triangle.
Step-by-step explanation:
Given: Set of numbers.
To find: Set that represent sides of an acute angled traingle.
We use the following result:
When given 3 triangle sides then to determine if the triangle is acute angled , right angled or obtuse angled.
First find Square all 3 sides, then Sum the squares of the 2 shortest sides and then Compare the sum to the square of the last side.
if sum > Square of last side ⇒ it is Acute Triangle
if sum = Square of last side ⇒ it is Right Triangle
if sum < Square of last side ⇒ it is Obtuse Triangle
a). 4 , 5 , 7
4² = 16 , 5² = 25 , 7² = 49
16 + 25 = 41
∵ 41 < 49
⇒ It is an Obtuse Traingle.
b). 5 , 7 , 8
5² = 25 , 7² = 49 , 8² = 64
25 + 49 = 74
∵ 74 > 64
⇒ It is an acute Triangle.
c). 6 , 7 , 10
6² = 36 , 7² = 49 , 10² = 100
36 + 49 = 85
∵ 85 < 100
⇒ It is an Obtuse Triangle.
d). 7 , 9 , 12
7² = 49 , 9² = 81 , 12² = 144
49 + 81 = 130
∵ 130 < 144
⇒ It is an Obtuse Triangle.
Therefore, Set B i.e., 5 , 7 , 8 represent the side of acute angled triangle.
what’s the answer to 2(12+6)+3(68-13)
Answer:
201
Step-by-step explanation:
2 · 18 + 3 (68-13)
2 · 18 + 3 · 55
36 + 3 · 55
36 + 165
201
please help me! which ones are the right ones , pls and ty
Answer:
-5/6=-5/-6=- 5/6
- 7/2=-7/-2=-7/2
Step-by-step explanation:
1. Знайдіть периметр паралелограма, сторони якого дорівнюють 5 см і 11 см.
2. Один з кутів ромба дорівнює 53°. Знайдіть інші кути ромба.
3. Катети прямокутного трикутника дорівнюють 12 см і 10 см. Знайдіть довжину медіани, проведеної до меншого з катетів.
4. Знайдіть сторони прямокутника, якщо вони відносяться як
2 : 3, а площа прямокутника дорівнює 96 см².
Answer:
1) Perimeter of the parallelogram = 32 cm
2) The angles of the rhombus include 53°, 53°, 127° and 127°.
3) The length of the median drawn to the smaller of the legs = 13 cm
4) The sides of the rectangle are 8 cm and 12 cm
1) Периметр параллелограмма = 32 см
2) Углы ромба включают 53 °, 53 °, 127 ° и 127 °.
3) Длина медианы обращена к меньшей из ног = 13 см.
4) стороны прямоугольника 8 см и 12 см
Step-by-step explanation:
English Translation
1) Find the perimeter of the parallelogram, the sides of which are 5 cm and 11 cm.
2) One of the angles of the rhombus is 53 °. Find the other angles of the rhombus.
3) The legs of a right triangle are 12 cm and 10 cm. Find the length of the median drawn to the smaller of the legs.
4) Find the sides of the rectangle if they are related as 2: 3, and the area of the rectangle is 96 cm².
Solution
1) Find the perimeter of the parallelogram, the sides of which are 5 cm and 11 cm.
A parallelogram has each of its opposite sides to be equal in length.
Perimeter of a parallelogram = 2(l + b)
l = 11 cm
B = 5 cm
Perimeter = 2(11 + 5) = 32 cm
2) One of the angles of the rhombus is 53 °. Find the other angles of the rhombus.
A rhombus is a quadilateral with the sum of its internal angles equal to 360°. Also, opposite angles of a rhombus are equal in magnitude.
Let the unknown other complementary angle be x.
53° + 53° + x + x = 360°
2x + 106° = 360°
2x = 360° - 106° = 254°
x = (254°/2) = 127°
The angles of the rhombus include 53°, 53°, 127° and 127°.
3) The legs of a right triangle are 12 cm and 10 cm. Find the length of the median drawn to the smaller of the legs.
The median is the line drawn from the vertex opposite a triangle's side to the midpoint of that side.
The median described is drawn in the attached image to this question.
From the image, the small triangle is a right angled triangle, hence, the length of the median is given by Pythagoras theorem.
(Median)² = 12² + 5² = 169
median = 13 cm
4) Find the sides of the rectangle if they are related as 2: 3, and the area of the rectangle is 96 cm².
Let the breadth and length of the rectangle be x and y respectively.
x:y = 2:3
(x/y) =(2/3)
x = (2y/3)
Area of a rectangle = length × breadth = x × y = xy = 96
x = (2y/3)
(2y/3) × y = 96
y² = (96×3/2) = 144
y = 12 cm
x = (2y/3) = (2×12/3) = 8 cm
Hope this Helps!!!
The first two steps in determining the solution set of the system of equations, y = -x2 + 4x + 12 and y=-3x + 24, algebraically
are shown in the table.
Step
Equation
Step 1
-x² + 4x + 12 =-3x+24
Step 2
x2 - 7x+12-0
Which represents the solution(s) of this system of equations?
(3, 15)
(-4, 36)
(3, 15) and (4, 12)
(-3, 33) and (-4,36)
Answer:
(3, 15) and (4, 12)
Step-by-step explanation:
x2 - 7x+12 = 0 factors to (x - 4)(x - 3) = 0, and so x: {3, 4}.
Since y= -3x + 24, y = 15 when x = 3 and y = 12 when x = 4. The solutions are thus (3, 15) and (4, 12). This is the third answer choice.
Answer:
see the explanation
Step-by-step explanation:
Y = –x2 + 4x + 12
y = –3x + 24
so
–x2 + 4x + 12 = –3x + 24
x^2 -7x + 12 = 0
(x - 4)(x - 3) = 0
x - 4 =0; x =4
x - 3 = 0; x= 3
y = –3x + 24 = -3(3) + 24 = -9+24 = 15 (when x = 3)
y = –3x + 24 = -3(4) + 24 = -12+24 = 12 (when x = 4)
answer
(3, 15) and (4, 12)
(give this a heart cause why not)
Which one of these is not a 3D shape?
a.) Pyramid
b.) Cone
c.) Sphere
d.) None of these
Answer: d all others are 3d
Step-by-step explanation:
Answer:
D) None of the above
Step-by-step explanation:
This is because all of the shapes above are examples of 3D shapes. A 3D shape would have the dimensions of length and width and height. However a 2D shape would only have the dimensions of length and width.
An example of a 2D shape is a rectangle. as it consists of a length and a width, but does not have a height.
On the other hand a £D shape such as a cube would have a length, width and a height.
which is bigger 67/72 or 11/12
Answer:
[tex]\frac{67}{72}[/tex]
Step-by-step explanation:
Just convert them into rounded decimals:
[tex]\frac{67}{72} = 0.9305555...[/tex]
[tex]\frac{11}{12} = 0.523809...[/tex]
Answer:
67/72
Step-by-step explanation:
Mr.smith brings 200 fluid ounces of apple juice to share with his class.How much apple juice did he bring in cups
Answer:
25
Step-by-step explanation:
8 fluid ounces = 1 cup so 200/8 = 25
Will mark as brainliest if correct
Answer:
X=0
Step-by-step explanation:
Anything raised to the power of 0 is 1.
Which are perfect squares? Check all that apply.
O 72
36
8
16
0 81
O 64
048
please help me out here !
Answer:
you have a 1/6 chance to get anything between l and Q
Step-by-step explanation:
The reason being that their is 6 and each have one so there is an equal chance for all of them,
A shelter has 25 bags of cat food. Each serving of cat food is 1/8 of a bag.
How many servings of cat food are there in the bags in the pantry?
Answer:
200 servings.
Step-by-step explanation:
Divide number of bags by how much of a bag a serving is.
25/1/8
Multiply original number by reciprocal of what you are trying to divide it by. (This makes dividing fractions easier)
25*8/1=200
There are 200 servings of cat food.
Answer:
200
Step-by-step explanation:
i took the test hope this helps
Use the graph to determine which values can be used to complete the equation x^2/a^2-y^2/b^2=1. a= b=
Answer: a: 5
b: 12
Step-by-step explanation:
The required value of a and b is 4 and 12 respectively.
[tex]x^2/a^2-y^2/b^2=1.[/tex]
Hyperbola is cross-section of cone that is obtained by cutting cone at certain angle with horizontal.
[tex]x^2/a^2-y^2/b^2=1.[/tex]
Since, above equation is of hyperbola.
a = semi major axis and b = semi minor axis.
From graph, values of a and b is 4 and 12 respectively.
Thus, the required value of a and b is 4 and 12 respectively.
Learn more about hyperbola here:
https://brainly.com/question/27799190
#SPJ2
Each gallon of paint covers 200 square feet. I have to paint one side of a wall that is 12 meters tall and 80 meters long. If a foot is approximately 0.3048 meters, then what is the smallest whole number of gallons I can buy and have enough paint to cover the whole wall? Plz answer immediately, the answer is not 9 gallons.
Answer:
51 gal
Step-by-step explanation:
Find the area of the wall you need to paint:
12 m * 80 m = 960 m^2
Use conversion rate to convert square meters to square feet (first, make the conversion rate into square meters instead of regular meters):
1 ft / 0.3048 m -> 1^2 ft / 0.3048^2 m^2
960 m^2 * (1 ft^2 / 0.3048^2 m^2)
Square meters cancel out, we are left with square feet:
960 * (1 ft^2 / 0.3048^2) = 10333.354 ft^2
Now, find how many gallons of paint by dividing by 200 square feet:
10333.354 ft^2 / 200 =~ 51.66 gal
Round up to the nearest whole number:
51.66 =~ 51 gal
The smallest whole number of gallons require to paint the wall is 52 gallons.
1 gallon of paint = 200 ft²
I foot = 0.3048 metres
Dimension of wall :
12 metre by 80 metre
Converting the dimension to feet :
12 meter / 0.3084 = 39.370078 feets
80 meter / 0.3084 = 262.46719 feets
Hence, the area of the wall in feet²:
Area = Length × width
Area of wall = 262.46719 × 39.370078 = 10333.3537427408 ft²
Let number of falloms required = x
Since,
1 gallon = 200 ft²
x gallons = 10093.516 ft²
Cross multiply :
200x = 10093.516
x = 10333.35374274082 / 200
x = 51.6667687137041 gallons
x = 52 gallons
Hence, the smallest number of gallons required to paint the wall is 52 gallons of paint
Learn more : https://brainly.com/question/12357849
The long side of a rectangle is 4 times the side of a square of length 3. What is the length of the side of the rectangle?
Answer:
l = 12
Step-by-step explanation:
Let l=length
The side of a square s=3
l = 4s = 4*3 = 12
Answer:
[tex]12[/tex]
Step-by-step explanation:
[tex]length = 4 \times side \\ = 4 \times 3 \\ = 12[/tex]
hope this helps
brainliest appreciated!
good luck! have a nice day!
PLEASE HELP!! This is due today!! - The polynomial function shown has x-intercepts at x= -2, x=0 and x=1. Identify a possible equation of this function. Giving 15-20 points!!! Pls show work and have a reasonable answer! Thank you :))
Answer:
f(x)=-x(x+2)(x-1)
Step-by-step explanation:
at a city hospital 40 boys and 50 girls were born yesterday. what is the experimental probability that the next baby born will be a girl
Answer:
around 44%
Step-by-step explanation:
You add 40+50 in order to find the total number of babies born. Only 40 of those 90 were girls. Divide 40 by 90 in order to get the decimal .444444. This is turned into a percentage by moving the decimal place right 2 places.
Each card in a set of cards has one of the letters from the world mathematics. The cards are shuffled. What is the probability of drawing the letter m
Answer:
2/11
Step-by-step explanation:
mathematics = 11 letters
P(m) = number of m's / total
=2/11
Solve the given system by substitution.
n=5m
n=2/3 m-13
Answer:
n = -15 and m = -3
Step-by-step explanation:
To solve the given system of equation, we will follow the steps below:
n = 5m ----------------------------------------------------------------------------(1)
n = [tex]\frac{2}{3} m -13[/tex] ---------------------------------------------------------------------(2)
substitute for n= 5m in equation (2)
5m = [tex]\frac{2}{3} m -13[/tex]
subtract [tex]\frac{2}{3} m[/tex] from both-side of the equation
5m - [tex]\frac{2}{3} m[/tex] = [tex]\frac{2}{3} m[/tex] - [tex]\frac{2}{3} m -13[/tex]
At the right-hand side of the equation [tex]\frac{2}{3} m[/tex] will cancel-out leaving us with just -13
5m - [tex]\frac{2}{3} m[/tex] = -13
[tex]\frac{15m - 2m }{3}[/tex] = -13
[tex]\frac{13m}{3}[/tex] = -13
multiply both-side of the equation by 3
3 × [tex]\frac{13m}{3}[/tex] = -13 × 3
At the left-hand side of the equation 3 will cancel-out 3 leaving is with just 13m
13m = -39
Divide both-side of the equation by 13
13m/13 = -39/13
m = -3
substitute m = -3 in equation (1)
n = 5m
n = 5 (-3)
n = -15
Therefore, n = -15 and m = -3
What’s the area of the shape
21.2 because you use the area of a circle formula which is pi times r squared and divide it by four to get each quarter and then multiply by three because there are 3 quarters of the circle.
Jamie took 20 pieces of colored paper and put them in a hat. Eight pieces were red, two pieces were blue, and the rest were green. She pulls a piece of paper out of the hat. What are the chances that the paper is red?
Answer:
40%
Step-by-step explanation:
8/20=0.40
0.40*100=40
7/6r=-1/2
HELP!! WILL GIVE BRAINLIEST!!!
Someone please help me
Answer:
Yes.
Step-by-step explanation:
Every X value corresponds with a DIFFERENT Y value.
That is the definition of a function.
(08.02)
The scores of several classmates on a math test are shown below:
91
points
77
points
90
points
79
points
81
points
85
points
86
points
76
points
75
points
80
points
What is the median score for these students? (4 points)
Answer:
the median is 80.5
Step-by-step explanation:
first we put them in order
75,76,77,79,80,81,85,86,90,91
the median is the middle number...however, in cases where there are an even number of numbers, ur gonna have 2 middle numbers....so u take the average of those 2 numbers...basically, u add them and divide by 2.
So we have 2 numbers in the middle.....we add them and divide by 2 to get the median.
(80 + 81) / 2 = 161/2 = 80.5 <== the median
Answer:
80.5
Step-by-step explanation:
Liz flips a coin 40 times. The coin lands heads up 24 times and tails up 16 times. What is the theoretical probability of the coin landing heads up
Answer:50
Step-by-step explanation:
Because I just got it right
Answer:
50%60%LessStep-by-step explanation:
I did the quiz
For what values of x'is x2 + 2x = 24 true?
--6 and -4
4 and 6
4 and -6
6 and 4
Next
Save and Exit
Answer:
[tex] \boxed{Values \: true \: of \: 'x' \: for \: equation \: {x}^{2} + 2x = 24 \: is \: -6 \: and \: 4} [/tex]
Step-by-step explanation:
[tex] = > {x}^{2} + 2x = 24 \\ \\ = > {x}^{2} + 2x - 24 = 0 \\ \\ = > {x}^{2} + (6 - 4)x - 24 = 0 \\ \\ = > {x}^{2} + 6x - 4x - 24 = 0 \\ \\ = > x(x + 6) - 4(x + 6) = 0 \\ \\ = > (x + 6)(x - 4) = 0 \\ \\ = > x + 6 = 0 \: \: \: \: \: \: \: \: and \: \: \: \: \: \: \: \: \: x - 4 = 0 \\ \\ = > x = - 6 \: \: \: \: \: \: \: \: \: \: and \: \: \: \: \: \: \: \: \: x = 4[/tex]
Values true of 'x' for equation x² + 2x = 24 is -6 and 4