Answer:
Step-by-step explanation:
h^2 + 6 = 31
h² = 25
√h²= √25
h = 5
2. Your grandparents deposit $2000 into a bank account to start a college fund for you. They will
continue to deposit a fixed amount each month if you deposit $5 a month as well. In 36 months,
you would like to have $6500 in the account. How much will they have to contribute each
month?
Answer: $120
Step-by-step explanation:
Given the following :
Initial deposit = $2000
Let fixed monthly deposit = d + $5 ; where d = monthly amount saved by grandparents and $5 = amount saved by you
Period of deposit = 36 months = 36 monthly deposits
Total amount required at the end of 36 months = $6500
Hence ;
$2000 + 36(d + $5) = $6500
$2000 + 36d + $180 = $6500
36d = $(6500 - 2180)
36d = $4320
d = $4320 / 36
d = $120
Monthly Amount contributed by grandparents = $120
What is the distance between the points (7, 8) and (–8, 0) on a coordinate grid?
Answer:
Hence, the distance between (7,8) and (-8,0) is:
17
Step-by-step explanation: (a,b)=(7,8) and (c,d)=(-8,0)
Hope this helps!!!!!!
The distance between the points (7, 8) and (–8, 0) = 17 units
Distance between two pointsThe distance between two points is given by the formula:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} [/tex]
For the line passing through the points (7, 8) and (–8, 0)
Substitute [tex]x_1=7, y_1=8, x_2=-8, y_2=0[/tex] into the equation above:
[tex]D=\sqrt{(-8-7)^2+(0-8)^2} [/tex]
This will be further simplified as shown below:
[tex]D=\sqrt{(-15)^2+(-8)^2} \\\\ D=\sqrt{225+64} \\\\ D=\sqrt{289} \\\\ D=17[/tex]
The distance between the points (7, 8) and (–8, 0) = 17 units
Learn more on distance between two points here: https://brainly.com/question/7243416
A sum of $ 2700 is shared among Eric, Jo and Richard. Jo's share is two times that of Richard's share. Eric's share is three times that of Jo's share. Find Eric's share.
Answer:
Eric's share is $1,800.
Step-by-step explanation:
You can write the following equations from the information given:
x+y+z=2,700 (1)
y=2z (2)
x=3y (3), where:
x=Eric's share
y= Jo's share
z=Richard's share
Now, you can replace (2) in (1) and (3) to have two equations:
x+2z+z=2,700
x+3z=2,700
x=3(2z)
x=6z
The two equations are:
x=6z (4)
x+3z=2,700 (5)
Then, you can replace (4) in (5) and solve for z:
6z+3z=2,700
9z=2,700
z=2,700/9
z=300
After this, you can replace the value of z in (4) to find x:
x=6*300
x=1800
Finally, you can replace the value of z in (2) to find the value of y:
y=2*300
y=600
According to this, the answer is that Eric's share is $1,800.
1
Chapter Test
Find the length of QS. Explain how you found your answer.
1.
2.
Q
12
R
19
S
Explain
Fill in the blank. ___ x 9 = 45? Please
Answer:
The correct answer is "5"
5 times 9 equals 45.
5 x 9 = 45
Answer:
?=5
Step-by-step explanation:
Multiples of 9:
10x9=90
9x9=81
8x9=72
7x9=63
6x9=54
5x9=45
4x9=36
3x9=27
2x9=18
1x9=9
0x9=0
Memorize the multiplication table. It is useful.
13 + 2v - 8 + 6 > -7 - v please simplify and explain WITH NUMBERS ONLY NO WORDS OR REPORTED
Answer: v > -6
Step-by-step explanation: -8+6=-2, 13-2=11, 2v+11 > -v -7, +v, 3v+11 > -7, -11, 3v > -18, /3, v > -6.
Pudori noștri dragiportátil rojo y Mac luego pirateadoRead and match in your notebook. then act out.
Maggie's brother is 6 years younger than twice her age. The sum of their ages is 36. How old is Maggie? Maggie is years old.
Answer:
Maggie is 14 years old.
Step-by-step explanation:
M + B = 36
B = 36 - M
2M - 6 = B
2M - 6 = 36 - M
3M = 42
M = 14
Maggie is 14 years old.
Find an equivalent ratio in simplest terms: 16:40
Answer:
1:4
Step-by-step explanation:
Just because okay
The distance between (2, 7) and (-6, 2)
I need help with finding the value of this if it is any help the subject is order of operations I believe
Step-by-step explanation:
I think the answer is 8036
What is the the simplified form of the following expression? 5 ( t - 1 ) (please see picture below to find your answer choices)
Answer:
d is correct
Step-by-step explanation:
Sally was correct on 16 out of 18 questions on her test. Write a fraction for the number of questions correct out of the total and simplify.
16/18
simplified would be
8/9
What is the answer to this? 5b+3a+2b+2b=
Answer:
9b+3a= ?
Step-by-step explanation:
You add the numbers with the same variable.
divide if possible
[tex] \frac{ - 14}{7} [/tex]
Hi guys actually I have forgotten the steps do it yesterday my online school opened so I don't how to solve it can you help me please
Answer:
(i) (x +4)^3 = x^3 +12x^2 +48x +64
(ii) (2m +1)^3 = 8m^3 +12m^2 +6m +1
(iii) (a -2b)^3 = a^3 -6a^2b +12ab^2 -8b^3
Step-by-step explanation:
Powers of a binomial have a pattern. The coefficients of the terms of the expanded product are the numbers in the corresponding row of Pascal's Triangle. Here, you want the 3rd power, so the coefficients of interest are ...
1, 3, 3, 1
The pattern is ...
(a +b)^2 = a^2 +2ab +b^2
(a +b)^3 = a^3 +3a^2b +3ab^2 +b^3
The total of powers of the variable is equal to the exponent of the binomial. The powers of the first variable decrease to 0 while the powers of the second variable increase from zero.
When 'a' or 'b' is something with a coefficient, that whole term is raised to the appropriate power.
__
i) (x+4)^3 = x^3 +3·4x^2 +3·4^2x +4^3
(x +4)^3 = x^3 +12x^2 +48x +64
__
ii) (2m +1)^3 = (2m)^3 +3·1·(2m)^2 +3·1^2·(2m) +1^3
(2m +1)^3 = 8m^3 +12m^2 +6m +1
__
iii) (a -2b)^3 = a^3 +3·a^2·(-2b) +3·a·(-2b)^2 +(-2b)^3
(a -2b)^3 = a^3 -6a^2b +12ab^2 -8b^3
_____
Additional comment on Pascal's triangle
The numbers in each row are the sums of the two numbers immediately above. For binomial expansion, you're only interested in the contents of a row. The "patterns" shown in the attachment are an extra added attraction, not particularly relevant to binomial expansion.
HeLp TwT pls TwT i’m scared TwT
Answer:
1/3 * P
Step-by-step explanation:
One side is P/3
Rewriting
1/3 * P
HHHEEEELLLPPPPP just 3 questions!!!!!!!!!!!!!!!!!!!!! 1. How does evaluating a function at specific points relate to graphing the function? 2. What is the process for finding x and y - intercepts from a graph? a table? an equation? 3. Can you think of a career or field of work that utilizes the skills of interpreting, comparing, and/or graphing functions? How might that career or field use the skill/concept?
Answer:
1) When we have a function y = f(x), evaluating this function in one given point (x0 for example ) is equivalent to changing the x inside the function by the value x0.
This will give us the point (x, f(x0)).
now, a graph is conformed by the set of all the points (x, f(x)).
2) The x and y-intercepts are the points where the graph intercepts the x-axis or the y-axis.
If you have a table with points (x, y), the y-intercept is the point (0, y') and the x-intercept is the point (x', 0)
Where x' and y' are known values.
If you have an equation:
y = f(x).
The x-intercept is the point (x', 0)
So you need to find the value x' such that f(x') = 0.
The y-intercept is the point (0, y')
So you need to evaluate the function in x = 0, and find the value of y.
y' = f(0).
3) The obvious answer is any science-related career, where graphs are used to transmit a lot of information with almost no words.
Another option can be an economist, where, for example, interpreting and comparing graphs can be useful to determine which option fits better the needs of a given company or what decision is better to be taken.
Given f(x)=4x+5, evaluate f(4).
Answer:
21
Step-by-step explanation:
1. plug in 4 for F(x) making 4=x:
[tex]f(4)=4(4)+5[/tex]
2. multiply 4 and 4:
[tex]f(4)=4(4) +5[/tex]⇒[tex]f(4)=16+5[/tex]
3. Add 16 and 5 to get your answer:
[tex]f(4)= 16+5[/tex]⇒[tex]f(4)=21[/tex]
what is called when two different units are being compared
Answer: A ratio compares two numbers or two quantities. The two numbers being compared are called terms. ... A rate is a special ratio that compares two quantities that have different units of measure. If the second term in a rate is 1, the ratio is called a unit rate.
Step-by-step explanation:
A ratio compares two numbers or two quantities. The two numbers being compared are called terms. ... A rate is a special ratio that compares two quantities that have different units of measure. If the second term in a rate is 1, the ratio is called a unit rate.
The histogram shows the number of broken light bulbs in each shipment a retail chain received from the manufacturer. The histogram represents how many shipments
Answer:
its 16
Step-by-step explanation:
on the graph just count how many shipments they had like 1-10 it was at 4 at 11-20 it was at 5 at 21-30 was at 4 at 31-40 was at 1 and 41-50 was at 2 so just add all of though's together 4+5+4+1+2= which gives 16
Answer:
16
Step-by-step explanation:
Please help idk this
Answer:
DF is congruent to ZX
Step-by-step explanation:
Pls make branliest.
if you can answer any of these please do and put the question number by the answer
Answer:
16. a = 13
Step-by-step explanation:
Equation: y = -4(-2) + 5
1) Multiply -4 with -2. Whenever you multiply two negatives, the product turn into a positive number; therefore, -4(-2) = 8
2) Then, add 8 and 5 which is 13.
Hope this helps!
One serving of milk has 120 Calories. If one serving is equal to 1 cup,how many Calories are in 1 fluid ounce?(1 cup = 8 fluid ounces
Answer:
ANSWER ---> **15**
Step-by-step explanation:
If there are 120 calories in a single cup and 8 ounces in a cup, you would divide 120 by 8 to get your answer 15 for the single fluid ounce
Nancy created a graph to predict the pay she will take home after taxes are taken from her income. Using the information on the graph, what is the constant of proportionality?
A. 0.48
B. 0.6
C. 0.8
D. 1.25
Answer:
c. 0.8 Hope this helps you!!!
Answer:
It Is C
Step-by-step explanation:
I got it wrong on my test, and it showed me the correct answer.
Don't mess up like me.
I got a 83.3.
WHY!
PLEASE ANSWER ASAP
Find the equation of the exponential function represented by the table below:
x y
0 2
1 6
2 18
3 54
Answer:
y = 2[tex](3)^{x}[/tex]
Step-by-step explanation:
For the exponential function in the form
y = a[tex]b^{x}[/tex]
Use ordered pairs from the table to find a and b
Using (0, 2 ), then
2 = a[tex]b^{0}[/tex] ( [tex]b^{0}[/tex] = 1 ) , thus
a = 2, so
y = 2[tex]b^{x}[/tex]
Using (1, 6 ) , then
6 = 2b ( divide both sides by 2 )
b = 3
Thus the exponential function is
y = 2[tex](3)^{x}[/tex]
There are 12 inches in 1 foot and 5,280 feet in 1 mile. Elena ran 2 1/2 miles. How many feet did Elena run?
Answer:
She Ran 13,300 ft. hope this helps!
Step-by-step explanation:
A video game club has 42 members. The number of high school members is six less than twice the number of middle school members. Which expression represents the number of high school members in the club?
A) 2x - 6
B) 2x + 6
C) 2x - 36
D) 36 - 2x
Answer:
A
Step-by-step explanation:
42+6=48
48/2=24
24-6=18
(2*24)-6=18
Solve for x: (5 points) negative 4 over 3, multiplied by x minus 6 equals negative 26
Answer:
x=15
Step-by-step explanation:
-4/3x - 6 = -26multiply both sides of the equation by 3-4x-18=-78-4x=-78+18(move constant to the right side)-4x=-60x=15Hope this helps.
What is the slope of the line ?
Answer:
-2[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
The line passes through points (1,4) and (4,-4)
Slope (m) = change in y ÷ change in x
i.e m = [tex]\frac{-4 - 4}{4 - 1} = \frac{-8}{3} = -2\frac{2}{3}[/tex]
Look at the four triangles graphed below.
image ca71cf4006c046558b1c25f4be9b6c76
What is the name of the single transformation that takes triangle A to triangle D?
A.
rotation
B.
reflection across the y-axis
C.
reflection across the x-axis
D.
translation