P=A/(1+r)T
Step-by-step explanation:
1) p(1+r)=A/T
2)P=A/(1+r)T
Answer:
P=A/(T+Tr)
Step-by-step explanation:
A = P(1+r)T
Multiply P and T
A=PT(1+r)
Clear the bracket by multiplying all bracketed terms by PT
A=PT+PTr
A=P(T+Tr)
Divide both sides by (T+Tr)
A/(T+Tr)=P(T+Tr)
P=A/(T+Tr)
Find the length of the radius of a circle whose center is at (3,4) and passes through (-3, -4).
Answer:
[tex]5\sqrt{2}[/tex]
Step-by-step explanation:
well we use the distance formula
[tex]\sqrt{(4^{2}+(-4)^2 )+(3^2+(-3)^2)}\\ =\sqrt{32+18} \\=\sqrt{50}\\ =5\sqrt{2}[/tex]
so that's the length of the radius
The length of the radius of a circle whose center is at (3,4) and passes through (-3,-4) is given by 10 units.
What is Radius of Circle?Radius of circle is the fixed distance between center and any point lies on the circumference of the circle.
Two distance between two points (a,b) and (c,d) is given by [tex]=\sqrt{(c-a)^2+(d-b)^2}[/tex]
Here in the given problen we have to find the length of the radius of a circle whose center is at the point (3,4) and passes through the point (-3,-4).
So basically we have to find the length between the points (3,4) and (-3,-4).
The radius of circle is given by
[tex]=\sqrt{(-3-3)^2+(-4-4)^2}[/tex]
[tex]=\sqrt{(-6)^2+(-8)^2}[/tex]
[tex]=\sqrt{36+64}=\sqrt{100}=10[/tex]
Hence the length of the radius of the circle is given by 10 units.
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Which of the following is equal to 5 1/3
Answer:
C
Step-by-step explanation:
Using the rule of radicals/ exponents
[tex]a^{\frac{m}{n} }[/tex] ⇔ [tex]\sqrt[n]{a^{m} }[/tex]
Given
[tex]5^{\frac{1}{3} }[/tex] = [tex]\sqrt[3]{5}[/tex] → C
Simplify 2(x - 3) + 7(x + 2)
Answer:
9x + 8.
Step-by-step explanation:
2(x - 3) + 7(x + 2)
= 2x - 6 + 7x + 14
= 2x + 7x - 6 + 14
= 9x + 8.
Hope this helps!
Please help! math is hardddd :(
Answer:
12 in²
Step-by-step explanation:
The area of a triangle is base × height × 1/2.
b × h × 1/2
6 × 4 × 1/2
24 × 1/2
= 12
The area is 12 in².
Answer:
12 in^2Solution,
Base(b)=6 inches
Height(h)=4 inches
Area of triangle=?
Now,
[tex]area \: of \: triangle \\ = \frac{bh}{2} \\ = \frac{6 \times 4}{2} \\ = \frac{24}{2} \\ = 12 \: {inches}^{2} [/tex]
hope this helps ..
Good luck on your assignment...
A solid shape is made from centimetre cubes.
Here are the plan, side elevation and
Centimetre cubes are added to
front elevation of the shape.
make this cuboid.
Plan Side elevation Front elevation
40
4 cm
3 cm
How many cubes are added?
Write your final answer as,... cubes are added.
Answer:
30 cubes are added
Step-by-step explanation:
The image of the solid shape is attached.
From the Plan, Side elevation and Front elevation, the number of cubes needed to make the shape is 18 blocks. From the front elevation, 12 blocks is needed (4 * 3 blocks) while from the side elevation 6 blocks are needed given a total of 18 blocks.
The number of blocks needed to make the cuboid = 4 * 4 * 3 = 48 cm cubes.
Therefore the number of cubes to be added = 48 cubes - 18 cubes = 30 cubes.
30 cubes are added
The number of cubes that are added is 30.
What is Cube?
A cube's form is occasionally referred to as "cubic." Another way to put it is that a block with uniform length, width, and height is regarded to be a cube. It also contains 12 edges and 8 vertices, with 3 of the edges coming together at a single vertex point. Examine the illustration below, identifying the faces, edges, and vertices. It is also referred to as a right rhombohedron, an equilateral cuboid, and a square parallelepiped. One of the platonic solids, the cube is a convex polyhedron with all of its faces being square. The cube has either cubical symmetry or octahedral symmetry. The square prism is a specific instance of a cube.
From the Plan, Side elevation, and Front elevation, the number of cubes needed to make the shape is 18 blocks. From the front elevation, 12 blocks are needed (4 * 3 blocks) while from the side elevation 6 blocks are needed given a total of 18 blocks.
The number of blocks needed to make the cuboid
= 4 * 4 * 3 = 48 cm cubes.
Therefore the number of cubes to be added
= 48 cubes - 18 cubes
= 30 cubes.
30 cubes are added.
Hence, The number of cubes that are added is 30.
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Choose the best estimate for the division problem below.
64.309/7.19
A. 12
B. 14
C. 9
Answer:
The estimated answer would be 9
Step-by-step explanation:
The answer I received in the calculator was 8.94422. Since the tenths, place value(9) is closer to 9.0 than 8.0, we round up. I hope this helps you.
someone please help, I will give BRAINLIEST!! please explain your answer
Answer: 8.94 is the length of GI
Step-by-step explanation: The two triangles are similar, so the ratios of the sides to each other will be the same.
the unknown length of GI in triangle FIG corresponds to the known length 20 of IH in Triangle GIH, and the known length 4 of side FI in triangle FIG corresponds to GI in Triangle GIH. So the ratio looks like 4:x as x:20
4/x = x/20 multiply both sides by x and 20 to "cancel" the denominators.
20x(4/x) = 20x(x/20)
80 = x² Calculate the square roots
√x² = x . √80 = 8.94
For any number y, ⌂y=2y3 . What is the value of ⌂2 + ⌂5 ? NEED HELP ASAP
Answer:
276
Step-by-step explanation:
∆y = 2y3
∆2 = 2(2)3 = 16
∆5 = 2(5)3 = 250
∆2 + ∆5 = 250 + 16 = 276
Find the area of a circle with radius, r = 7.29m. Give your answer rounded to 2 DP
Answer:
Area of a circle is πr²
where r is the radius
r = 7.29m
Area = π × 7.29²
= 166.957
= 166.96m² to 2 decimal places
Hope this helps you
Dan Stocked up on batteries.
He Brought 10 packages of AA and AAA batteries for a total of 72 batteries.
The AA batteries are sold in packages of 6, and the AAA batteries are sold in packages of 8. Write a system of equations that can be solved to find how many packages of each type of battery Dan bought. Remember to define your variables.
1. C+D=10
2.6c+8D=72
Answer: C
Step-by-step explanation:
i just took a test
Answer:Answer:
x + y = 10
6x + 8y = 72
Step-by-step explanation:
Number of packages = 10
Total batteries = 72
For AA:
batteries per package = 6
Let number of packages = x
For AAA:
batteries per package = 8
Let number of packages = y
Number of AA packages + number of AAA packages = 10
Sum of AA + sum of AAA equals 72 batteries
x + y = 10
6x + 8y = 72
Step-by-step explanation:
A linear function includes the ordered pairs (0, 3), (3, 9), and (9, n). What is the value of n?
Answer:
the value of n will be the range
Step-by-step explanation:
lets just give an example of (9,n) and you had to find the value its actually simple
9 is the domain
n is the range
a part of ordered pair function
got it?
What are the x-intercepts of the graph of the function f(x) = x2 + 4x – 12? (–6, 0), (2,0) (–2, –16), (0, –12) (–6, 0), (–2, –16), (2, 0) (0, –12), (–6, 0), (2, 0)
Answer:
(-6, 0) and (2, 0)
Step-by-step explanation:
To find the x-intercepts, we can factor the expression:
f(x) = x² + 4x - 12
2 factors of -12 that add up to 4 are 6 and -2
(x + 6)(x - 2)
Set each factor equal to 0 and solve for x:
x + 6 = 0
x = -6
x - 2 = 0
x = 2
So, the x intercepts are (-6, 0) and (2, 0)
Answer:
It's the first option, (-6, 0) (2, 0)
Step-by-step explanation:
100% on Edge
The average (arithmetic mean) of a - 5 and a is x, and the average of a and a + 9 is y. What is the average of x and y?
a + 1
B) a +2
C) 2a + 1
D) 2a + 2
Answer:
The answer is "Option A"
Step-by-step explanation:
Given:
[tex]\to \frac{(a-5)+a}{2}=x.....(a)\\\\\to \frac{a+(a+9)}{2}=y.....(b)\\\\[/tex]
solve the above equation:
[tex]\to \bold{\frac{(a-5)+a}{2}=x}\\\\\to \frac{a-5+a}{2}=x\\\\\to \frac{2a-5}{2}=x\\\\\to \bold{\frac{a+(a+9)}{2}=y}\\\\\to \frac{a+a+9}{2}=y\\\\\to \frac{2a+9}{2}=y\\\\[/tex]
add both value (x and y):
[tex]\to \bold{x+y}\\\\\to \frac{2a-5}{2}+\frac{2a+9}{2}\\\\\to \frac{2a-5+2a+9}{2}\\\\\to \frac{4a+4}{2}\\\\\to \frac{2(2a+2)}{2}\\\\\to (2a+2)\\[/tex]
average of x and y:
[tex]\to \frac{x+y}{2}\\\\\therefore \bold{x+y= 2a+2}\\\\\to \frac{2(a+1)}{2}\\\\\to \boxed{(a+1)}\\[/tex]
The slope of the line passing through the points (-1, 5) and (1, 6) is no slope 1/2 5/4
Answer:
1/2
Step-by-step explanation:
Here you utilize the formula of slope which is m = y2-y1/x2 -x1
(-1,5) (1,6)
(x1, y1) ( x2, y2)
m = ( 6-5)/ (1-(-1))
= 1/(1+1)
= 1/2
Answer:
1/2
Step-by-step explanation:
PLEASE ANSWER QUICK. WILL BRAINLIEST
Table I shows the number of hours per week a basketball player practices free throws and the percentage of free throws the player makes. Table II shows the number of hours the player practices per week and the number of points the player scores in the game. 2 tables. A 2-column table with 5 rows titled Practice hours versus free throws made. Column 1 is labeled Practice hours (p) with entries 8, 6, 9, 7, 4. Column 2 is labeled Percentage of free throws made (f) with entries 70, 55, 75, 67, 50. A 2-column table with 5 rows titled Practice hours versus Points Scored. Column 1 is labeled practice hours (p) with entries 6, 5, 10, 3, 2. Column 2 is labeled Number of Points Scored (s) with entries 22, 18, 45, 10, 7. Yasmin made the graphs below to represent the data in the tables. Practice Hours vs. Free Throws Made A graph has practice time (hours) on the x-axis and free throws made (percentage) on the y-axis. Points are grouped together in a line with positive slope. Practice Hours vs. Points Scored A graph has practice time (hours) on the x-axis and points scored on the y-axis. Points are grouped together in a line with positive slope. What comparison can be made between the two sets of data in the table? They both have strong positive correlation. They both have weak positive correlation. They both have strong negative correlation. They both have weak negative correlation.
Answer:
a. They both have strong positive correlation.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Just took the test and did calculations. 100% correct
ABCD is a square. The length of each side of the square ABCD is units, and the length of its diagonal is about units.
Answer:
The answer is below
Step-by-step explanation:
From the diagram attached, to find the length of side AB, we need to use Pythagoras theorem on the right triangles. We can see that AB is the base of the two right triangle.
For the first right triangle with hypotenuse of 13 and height of 12, let x be the base, therefore using hypotenuse:
13² = 12² + x²
169 = 144 + x²
x² = 169 - 144
x² = 25
x = √25 = 5
For the second right triangle with hypotenuse of 15 and height of 12, let y be the base, therefore using hypotenuse:
15² = 12² + y²
225 = 144 + y²
y² = 225 - 144
y² = 81
y = √81 = 9
The length of AB = x + y = 9 + 5 = 14 unit
Since for a square all the sides are equal, therefore the length of each side of the square ABCD is 14 units.
In triangle ADC, the hypotenuse = AC, AD = DC = 14 unit. Using Pythagoras:
AC² = AD² + DC²
AC² = 14² + 14²
AC² = 196 + 196 = 392
AC = √392 = 19.8
The length of its diagonal is about 19.8 units
Am I right or wrong (don't answer the last one!)
Answer:
1) Distributive Property of Multiplication (The terms are distributed)
2) Addition property of equality (Adding 14 to both sides)
3) Simplifying (We simplified the expression)
4) Division property of equality (Dividing both sides by 6)
Answer:
[tex]\boxed{\mathrm{view \: explanation}}[/tex]
Step-by-step explanation:
- 14 + 6m = 10
Distributive Property of Multiplication
2 is distributed to -7 and 3m
- 14 + 14 + 6m = 10 + 14
Addition Property of Equality
Adding 14 to both sides.
6m = 24
Simplifying
Simplifying the equation.
[tex]\displaystyle \frac{6m}{6} =\frac{24}{6}[/tex]
Division Property of Equality
Dividing both sides by 6.
Someone please help!!
After solving for both variables, you find that each bus can hold 59 students and each van can hold 18 students.
Step-by-step explanation:
You can find the amount of students each vehicle can carry by representing the two scenarios in equations.
You are trying to find how many students will fit in each bus or van, so the two variables used will be "b" to represent how many students can fit in a bus and "v" to represent how many students can fit in a van.
High school A used 1 van and 6 buses, so there will be 1"v" and 6"b" for 372 students.
High school B used 4 vans and 12 buses, so there will be 4"v" and 12"b" for 780 students.
Now, represent these in equations:
[tex]v+6b = 372\\4v + 12b = 780[/tex]
We can use substitution to solve this system:
[tex]v + 6b = 372[/tex] can be rewritten as [tex]v = 372 - 6b[/tex] after subtracting 6b from both sides. You can then substitute this new value of "v" into the other equation to solve for "b":
[tex]4(372-6b) + 12b = 780\\1488 - 24b + 12b = 780\\1488 - 12b = 780\\-12b = -708\\b = 59[/tex]
After solving for b, you can then substitute the new value of b into the other equation to find the value of v:
[tex]v + 6(59) = 372\\v + 354 = 372\\v = 18[/tex]
After solving for both variables, you find that each bus can hold 59 students and each van can hold 18 students.
Answer:
Van: 18, Bus: 59
Step-by-step explanation:
b - number of students that bus can carry
v - number of students that van can carry
6•b + 1•v = 372 - students from A
6b + v = 372 ⇒ v = 372 - 6b
12•b + 4•v = 780 - students from B
12b + 4(372 - 6b) = 780
12b + 1488 - 24b = 780
- 12x = - 708
b = 59
v = 372 - 6•59 = 372 - 354 = 18
What is the distance between c and d
Answer:
5 units apart.
Step-by-step explanation:
You can figure this out by:
a- You can count the squares in between the two points.
OR
b- You would find the absolute value of both the x values and add them together to see the overall length from each other that they are.
So when you complete either one of these tactics you would get an answer of 5 units apart.
evaluate 21.5 multiplied by 2.51 to 2 decimal place
Answer:
53.96
Step-by-step explanation:
21.5 times 2.51 is 53.965
53.965 to 2 decimal points is 53.96
...................
Answer:
x = a(c + b)
Step-by-step explanation:
Step 1: Add b to both sides
x/a = c + b
Step 2: Multiply both sides by a
x = a(c + b)
Please please help me ❤️❤️❤️
Answer
Step-by-step explanation:
Materials
Water Bottles or Pop Bottles
Glow Sticks
Foam Sheets
Pipe Cleaners
Googly Eyes
Tissue Paper
Mod Podge
Hot Glue Gun
Instructions
Cut your tissue paper into strips and brush a layer of Mod Podge onto the center of your bottle.
Put the tissue paper strips onto the Mod Podge, wrapping it around the bottle. Brush on another layer of Mod Podge.
Once it's dry, wrap three pipe cleaners around the bottle and twist to form legs.
Cut 2 wings out of the foam and glue it to the top.
Place your glow stick inside the bottle.
Attach your googly eyes and twist another pipe cleaner around the neck of the bottle to form the antenna.
Mabel is comparing the prices of two car rental companies. Company A charges $35 per day and an additional $15 as service charges. Company B charges $42 per day and an additional $10 as service charges. Part A: Write an equation to represent each company's total charges for renting a car for a certain number of days. For both equations (one for Company A and one for Company B), define the variable used. (4 points) Part B: Which company would charge less for renting a car for 6 days? Justify your answer. (3 points) Part C: How much money is saved by using the services of Company A instead of Company B to rent a car for 10 days?
Answer:
Part A:
Equation for Company A:
x = Number of days renting a car
35x + 15
Equation for Company B:
x = Number of days renting a car
42x + 10
Part B:
Company A will charge $ 37 less than Company B
Part C:
Company A will charge $ 65 less than Company B
Step-by-step explanation:
Part A:
Equation for Company A:
x = Number of days renting a car
35x + 15
Equation for Company B:
x = Number of days renting a car
42x + 10
Part B:
Renting a car for 6 days
Company A:
35 * 6 + 15 = 210 + 15 = $ 225
Company B:
42 * 6 + 10 = 252 + 10 = $ 262
Company A will charge $ 37 less than Company B
Part C:
Renting a car for 10 days
Company A:
35 * 10 + 15 = 350 + 15 = $ 365
Company B:
42 * 10 + 10 = 420 + 10 = $ 430
Company A will charge $ 65 less than Company B
NEED MATH HELP NOW. Please solve for x-intercept.
Answer:
(1, 0) and (3, 0)
Step-by-step explanation:
y=2x²-8x+6
x- intercept when y=0
2x²-8x+6=0x²-4x+4=1(x-2)²=1x-2=1 ⇒ x= 3x-2= -1 ⇒ x= 1Answer:
(1, 0) / (3, 0)
Step-by-step explanation:
5. In an A.P, the sum of three consecutive terms is 24. When 1 is subtracted to the first term, 2 to the
second, then the terms form a G.P. Find the terms of the A.P.
Answer:
Step-by-step explanation:
Let the three numbers be a-d, a, a+d being a series in AP.
The sum of the three numbers is 24 = a-d+ a+ a+d = 3a
Thus a = 8.
Now a-d-1, a-2, a+d form a GP. It means, the common ratios should be equal or the middle term should be the Geometric Mean of the first and third terms, or
(a-d-1)(a+d) = (a-2)^2 or
(8-d-1)(8+d) = (8-2)^2, or
(7-d)(8+d) = 36, or
56 -8d +7d -d^2 = 36, or
56 -8d +7d -d^2 - 36 = 0, or
d^2 +d -20 = 0
(d+5)(d-4) = 0
Thus d = -5 or 4
So the AP is 13,8,3 or 4,8,12
Check: 13,8,3 in AP becomes (13–1), (8–2), 3 = 12, 6, 3 which is a GP with r = (1/2)
4,8,12 in AP becomes (4–1), (8–2), 12 = 3, 6, 12 which is a GP with r =2
What is the value of x in the equation 1.5(x + 4) – 3 = 4.5(x – 2)?
Answer:
4=x
Step-by-step explanation:
1.5(x + 4) – 3 = 4.5(x – 2) distribute
1.5x+6-3 = 4.5x-9 subtract 1.5x from each side
3=3x-9 add 9 to both sides
12=3x divide by on both sides
4=x simplify
Answer:
x=4
Step-by-step explanation
3 3Cylinder A 3 3 4 4Cylinder B 2 2 What is the ratio of the volume of Cylinder A to the volume of Cylinder B? Choose 1 answer: Choose 1 answer: (Choice A, Checked) A 11 27 27 11 start fraction, 11, divided by, 27, end fraction (Choice B) B 16 27 27 16 start fraction, 16, divided by, 27, end fraction (Choice C) C 1 11 (Choice D) D 27 16 16 27
Answer:
(D) [tex]\dfrac{27}{16}[/tex]
Step-by-step explanation:
Volume of a Cylinder =[tex]\pi r^2h[/tex]
Cylinder A
Height = 3 Units
Radius = 3 Units
[tex]Volume =\pi \times 3^2 \times 3 =27\pi$ cubic units[/tex]
Cylinder B
Height = 4 Units
Radius = 2 Units
[tex]Volume =\pi \times 2^2 \times 4 =16\pi$ cubic units[/tex]
[tex]\dfrac{\text{Volume of Cylinder A}}{\text{Volume of cylinder B}}=\dfrac{27\pi}{16\pi}\\\\=\dfrac{27}{16}[/tex]
The correct option is D
Prove that interior angles 1 and 3 are congruent when the lines are parallel with a transversal. PLEASE ANSWER ASAP, DUE IN HALF A HOUR
Answer:
They are congruent because angle 1 &3 are alternate interior angles.
Step-by-step explanation:
Angles a and b are supplementary . Angle a has a measure of 80 . What is the measure of angle b? The measure of angle b is?
Answer:
100 degrees
Answer above is correct
180-80=100
The measure of the other supplementary angle is 100 degrees.
What are supplementary angles?A supplementary angle are angles that add up to 180 degrees. For example 150 and 30 degrees are supplementary angles. This is because the sum of 150 and 30 degrees is 180 degrees.
In order to determine the valueof angle b, subtract 80 from 180.
Measure of angle b = 180 - 80 = 100
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HELP PLEASE!!! How do I solve this?
Answer:
32
Step-by-step explanation:
tanx=opp/adj.=40/64=5/8=0.625
find tan^-1= 32 degrees
Answer:
A. 32°
Step-by-step explanation:
[tex] \tan \: x \degree = \frac{40}{64} \\ \\ \tan \: x \degree = \frac{5}{8} \\ \\ \tan \: x \degree =0.625 \\ x \degree = {\tan}^{ - 1}( 0.625) \\ \\ x \degree =32.005383208 \degree \\ \\ \huge \red { \boxed{ x =32 \degree}}[/tex]