A ball rolls down and the distance traveled by the ball is given by d = 5t + t2/3 feet in t seconds. Find the time when the ball reaches the distance of 18 feet.
Moses and Louis ran laps after school to train for the basketball team. The ratio of the number of laps Moses ran to the number of laps Louis ran was two to three.
If Moses ran 8 laps, how many laps did Louis run?
Answer:
Moses ran 8 Luis ran 12.
Step-by-step explanation:
.
Number of laps to Louis run is 12 when Moses ran 8 laps.
What is mean by Ratio?
A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.
Where, x and y are individual amount of two quantities.
And, Total quantity gives after combine as x + y.
Given that;
The ratio of the number of laps Moses ran to the number of laps Louis ran = 2 : 3
Now,
Since, The ratio of the number of laps Moses ran to the number of laps Louis ran = 2 : 3
So, Number of laps Moses ran = 2x
And, Number of laps Louis ran = 3x
If Moses ran 8 laps.
Then, we get;
2x = 8
x = 4
Then, Number of laps Louis ran = 3x
= 3 × 4
= 12
Thus, Number of laps to Louis run is 12 when Moses ran 8 laps.
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the sherman family mad a down payment of $18,375 for a new house they mortaged the remaining cost of $129,625 the interest paid for 30 years was $273,116 what was the total cost of the house
Answer:
honestly this is a very poorly worded question...
it can be interpreted in several different ways....
the cost of the house (for them to purchase it) was
$129,625 + $18,375 = $148,000
The total amount that they paid for the house (money spent)
was
$129,625 + $18,375 + $273,116 = $421,116
all being said I think that the $148,000 is the answer that the question
is trying for you to figure out
Step-by-step explanation:
An analyst estimates that a share price has an 80% probability of increasing if economic growth exceeds 3%, a 40% probability of increasing if economic growth is positive but less than 3%, and a 10% probability of increasing if economic growth is negative. If economic growth has a 25% probability of exceeding 3% and a 25% probability of being negative, what is the probability that the share price increases
There is a group of 15 people are ordering pizza. Each person wants 2 slices and each pizza has 10 slices. How many pizzas should they order?
Answer:
3 pizzas
Step-by-step explanation:
First, we can calculate how many slices are necessary. Each person wants two slices, so for each person, we must add 2 slices. We can add 2 15 times, or multiply 2 by 15 to get 2 * 15 = 30
We now know that we need 30 slices of pizza. Next, we need to figure out how many pizzas we need given this information.
For each pizza, we can add 10 slices, as there are 10 slices of pizza.
For the first pizza, we have 10 slices
For the second, we have 10+10 = 20 slices
For the third, we have 10+10+10 = 10 * 3 = 30 slices. Perfect!
Another way of figuring out the number of pizzas we need would be to divide 30 by 10, and 30/10=3 would equal the number of pizzas. We need to figure out how many pizzas we need to have 30 slices, so we can divide here.
Find the TWO integers whos product is -12 and whose sum is 1
Answer:
[tex] \rm Numbers = 4 \ and \ -3.[/tex]
Step-by-step explanation:
Given :-
The sum of two numbers is 1 .
The product of the nos . is 12 .
And we need to find out the numbers. So let us take ,
First number be x
Second number be 1-x .
According to first condition :-
[tex]\rm\implies 1st \ number * 2nd \ number= -12\\\\\rm\implies x(1-x)=-12\\\\\rm\implies x - x^2=-12\\\\\rm\implies x^2-x-12=0\\\\\rm\implies x^2-4x+3x-12=0\\\\\rm\implies x(x-4)+3(x-4)=0\\\\\rm\implies (x-4)(x+3)=0\\\\\rm\implies\boxed{\red{\rm x = 4 , -3 }}[/tex]
Hence the numbers are 4 and -3
Answer:
[tex] \displaystyle( {x}_{1} , y_{1}) =( - 3,4)\\ (x _{2}, y_{2}) = (4, - 3)[/tex]
Step-by-step explanation:
we are given two conditions
two integers whos product is -12two integers whos sum is 1let the two integers be x and y respectively according to the first condition
[tex] \displaystyle xy = - 12[/tex]
according to the second condition:
[tex] \displaystyle x + y = 1[/tex]
now notice that we have two variables therefore ended up with a simultaneous equation so to solve the simultaneous equation cancel x from both sides of the second equation which yields:
[tex] \displaystyle y = 1 - x[/tex]
now substitute the got value of y to the first equation which yields:
[tex] \displaystyle x(1 - x) = - 12[/tex]
distribute:
[tex] \displaystyle x- {x}^{2} = - 12[/tex]
add 12 in both sides:
[tex] \displaystyle x- {x}^{2} + 12 = 0[/tex]
rearrange it to standard form:
[tex] \displaystyle - {x}^{2} + x + 12 = 0[/tex]
divide both sides by -1:
[tex] \displaystyle {x}^{2} - x - 12 = 0[/tex]
factor:
[tex] \displaystyle ({x} + 3)(x - 4) = 0[/tex]
by Zero product property we acquire:
[tex] \displaystyle {x} + 3 = 0\\ x - 4= 0[/tex]
solve the equations for x therefore,
[tex] \displaystyle {x}_{1} = - 3\\ x _{2} = 4[/tex]
when x is -3 then y is
[tex] \displaystyle y _{1}= 1 - ( - 3)[/tex]
simplify
[tex] \displaystyle y _{1}= 4[/tex]
when x is 4 y is
[tex] \displaystyle y _{2}= 1 - ( 4)[/tex]
simplify:
[tex] \displaystyle y _{2}= - 3[/tex]
hence,
[tex] \displaystyle( {x}_{1} , y_{1}) =( - 3,4)\\ (x _{2}, y_{2}) = (4, - 3)[/tex]
16x7[(99-64)•2] PLEASE HELP!!!
Answer:
7840
Step-by-step explanation:
start with the (). 99-64 is 35. then 35 times 2 is 70. 16 times 7 (whats on the outside) is 112 and 112 times 70 is 7840
Describe the error Sadie made, and explain how to find the correct answer.
Answer:
She could've factored further
Step-by-step explanation:
a^5 can be written as a^4*a
so the answer should've been 3a^3b*sqrt(6ab)
BRAINLIEST PLEASEEEEEEEEEEE
Answer:
She should have factored a^7 as a^6 * a. Then sqrt(a^6 * a) = a^3 * sqrt(a).
[tex] 3a^3b\sqrt{6ab} [/tex]
Step-by-step explanation:
She should have factored a^7 as a^6 * a. Then sqrt(a^6 * a) = a^3 * sqrt(a).
Correct answer:
[tex] 3a^3b\sqrt{6ab} [/tex]
instructions: state what additional information is required in order to know that the triangle in the image below are congruent for the reason given
***I need help before it’s due**
SSS (side-side-side) requires that all three sides of the potentially congruent triangles be congruent.
Triangle WVU & Triangle UBW are our two triangles.
The middle line, UW and WU are congruent by the reflexive property, so that is not the information we need to prove SSS.
For SSS, we need to know that sides WV and UB are congruent.
Hope this helps!
What is the measure of arc BC?
А
o
50°
25
E
C
D
pls help if u can:)
Answer:
arc BC = 100°
Step-by-step explanation:
The inscribed angle BEC is half the measure of its intercepted arc BC , then
arc BC = 2 × 50° = 100°
In a scale model of a table, 1 centimeter represents 8 inches.
C
Scale
1 cm: 8 in
Answer the following.
?
(a) The height of the real table is 48 inches. What is the
height of the table in the scale model?
[centimeters
(b) In the scale model, the length of the table is 9
centimeters. What is the length of the real table?
inches
Answer:
(a): 6 centimeters
(b): 72 inches
Step-by-step explanation:
Rule: From centimeters to inches, multiply centimeters × 8
so from inches to centimeters, divide inches by 8
Scale:
1 cm : 8 in
? cm : 48 in
6 cm : 48 in
Scale:
? in : 9 cm
72 in : 9 cm
help fast pls i need it
The length of the hypotenuse of a right triangle is34 inches and the length of one of its legs is 16inches. What is the length, in inches, of the other leg of this right triangle? 1) 16 2) 18 3) 25 4) 30
Answer:
30 inches
Step-by-step explanation:
16^2 + x^2 = 34^2
256 + x^2 = 1156
X^2 = root 900
X = 30
Answer:
4) 30.
Step-by-step explanation:
We can find the other leg of the right triangle by using the Pythagorean Theorem formula.
[tex]formula-a^2+b^2=c^2[/tex]
[tex]legs-a,b[/tex]
[tex]hypotenuse-c[/tex]
--------------------------------------------------
Remember, the legs of the triangle are the sides that form the right angle. The hypotenuse is the longest side of the triangle.
Here, I am solving for one of the legs.
[tex]16^2+b^2=34^2[/tex]
[tex]256+b^2=1156[/tex]
[tex]1156-256=900[/tex]
[tex]b^2=900[/tex]
[tex]b=30.[/tex]
--------------------------------------------------
Therefore, the length of the second leg is 30 inches.
given circle o, what are the values of x and y?
Answer:
x = 38°
y = 90°
Step-by-step explanation:
x is an inscribed angle, so, 78/2=39
y is an inscribed angle of which connects two endpoints of the diameter, so y = 90°
Answered by GAUTHMATH
Can somebody help me please?!!
Answer:
Step-by-step explanation:
CAN SOMEONE PLEASE HELP ME!!
Answer:
29.8
Step-by-step explanation:
a^2+b^2=c^2
a^2+7^2=11^2
a = h = 8.5
A= 1/2*b*h
A= 1/2*8.5*7
A=29.8
Please help me! ❤️ I got stuck on this and really need some help
Answer:
0,-4
-2.65,2.62
2.65,2.62
Step-by-step explanation:
[tex]0^2 = 0\\-2.65^2 =7.0225\\ 2.65^2 =7.0225[/tex]
[tex]y = x^2 - 4[/tex]
-4, 3.0225
[tex]-4^2 = 16\\3.0225^2=9.1355[/tex]
Find DE. A.4 B.5/3 C.7 D.11
Answer:
DE = 11
Step-by-step explanation:
DE = x + 7
EF = 7
DF = 4x + 2
DF = DE + EF (segment addition postulate)
Substitute
4x + 2 = x + 7 + 7
4x + 2 = x + 14
Collect like terms
4x - x = -2 + 14
3x = 12
Divide both sides by 3
x = 12/3
x = 4
✔️DE = x + 7
Plug in the value of x
DE = 4 + 7
DE = 11
Use a calculator to find the cross products. Compare the cross products and determine if the ratios form a proportion. Write “Y” if the ratios do form a proportion, and write “N” if the ratios do not form a proportion.
1. 3/12 and 10/30
2. 7/16 and 42/66
3. 13/70 and 39/200
4. 16/34 and 80/170
5. 11/12 and 66/72
6. 14/17 and 112/134
7. 2/3 and 120/190
8. 23/99 and 115/495
Find the probability of no failures in five trails of a binomial experiment in which the probability of success is 30%
Consider the graph of f(x) = 5x + 1. Explain how to find the average rate of change between x = 0 and x = 4.
What is the average rate of change?
Answer:
5
Step-by-step explanation:
You divide the change in the output value by the change in the input value.
Input: 0 | 4
Output: 1 | 21
20/4= 5
Find the smallest number by which 2250 should be multiplied ,so that the product is a perfect square.
Answer:
10
Step-by-step explanation:
[tex]2250[/tex] = 2x5x5x5x3x3
therefore,2and 5 don't have a pair so , 2x5=10 .
So, the smallest number by which 2250 is 10
Which graph shows the solution to the system of linear inequalities?
x – 4y < 4
y < x + 1
On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything above the line is shaded. The second dashed line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything below the line is shaded.
On a coordinate plane, 2 straight lines are shown. The first dashed line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything above of the line is shaded. The second solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything above the line is shaded.
On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything above the line is shaded. The second solid line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything below the line is shaded.
On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything below the line is shaded. The second dashed line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything below the line is shaded.
Answer:
its the 2nd
Step-by-step explanation:
The graph showing common region to both inequalities represents the solution coordinates that satisfy both inequalities.
What is inequality in mathematics?In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
Given are the following inequalities -
x – 4y < 4
y < x + 1
We have the following inequalities -
x – 4y < 4
y < x + 1
Inequality [1]
x - 4y < 4
x - 4 < 4y
4y > x - 4
y > x/4 - 1
Inequality [2]
y < x + 1
Refer to the graph attached. The common region to both inequalities represents the solution.
Therefore, the graph showing common region to both inequalities represents the solution coordinates that satisfy both inequalities.
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resolve the factors ( xy+z)^2 (y-xz)^2
Answer:
=x4y2z2−2x3y3z+2x3yz3+x2y4−4x2y2z2+x2z4+2xy3z−2xyz3+y2z2
Make me brainliest
Answer:
x2y-x2z-xy2+xz2+y2z-yz2
step by step
step.1
Equation at the end of step 1:(((x2)•(y-z)(+((y2)•(z-x)))+z2•(x-y)
step2
Equation at the end of step2
(((x2)•(yz))+yz•(z-x))+z2•(x-y)
step.3
equation at the end of step 3.
(x2•(y-z)+y2•(z-x))+z2•(x-y)
step4
trying to factor by pulling out:
factoring: x2y-x2z-xy2+xz2+y2z-yz2
thought fully split the expression at hand into groups,each group having two terms:
group1: y2z-yz2
group 2: x2y-x2z
group 3: xz2-yz2
pull out from each groups separately:
group 1:(x-z)•(-y2)
group 2:(y-z)•(x2)
group 3:(x-y)•(z2)
looking for common sub-expressions:
group 1:(x-z)•(-y2)
group 2:(y-z)•(x2)
group 3:( x-y)•(z2)
bad news !! factoring by pulling out fails:
The groups have no common factor and cannot be added up to form a multiplication.
final result:
x2y-x2z-xy2+xz2+y2z-yz2
Which is equivalent to 2^5?
Answer:
Are there certain options?
Step-by-step explanation:
2^5 is in other words 2x2x2x2x2
the answer to this is 32
Hope I helped?
Answer:
32
Step-by-step explanation:
If f(x) is an exponential function where f(-1.5)=26 and f(5.5)=7 then find the value of f(10), to the nearest hundredth
Answer:
5.0956537e-46
Step-by-step explanation:
^ means root
* means multiply
f(x) = ab^x
f(-1.5)=26 = ab^-1.5
f(5.5)=7 = ab^5.5
f(5.5)/f(-1.5) = 26/7 = ab^5.5/ab^-1.5
3.714 = b^7
b = 3.714^-7
f(-1.5)=26 = ab^-1.5
26 = ab^-1.5
26 = a * 3.714^-7
a = 3.714^-7 / 26
a = 0.00000394578
f(10) = ab^10
f(10) = 0.00000394578 * (3.714^-7)^10
f(10) = 5.0956537e-46
Write an inequality representing the total cost of your purchase. a. Each pound of fruit costs $4. Write an expression that shows the total cost of the fruit. Use the variable you identified in question 1.
Answer:
$4n
Step-by-step explanation:
The variable identified in question 1 isn't given ;
If the cost per unit of fruit = $4
The total cost of fruit will be :
Cost per fruit * number of fruits
If the number of fruits is denoted by the variable, n
The the total cost of fruit will be :
Cost per fruit, $4 * number of fruits, n
Total cost = $4 * n = $4n
Jordan is planning a surprise birthday
party for her brother. She would like
to invite 15 guests. She has $300.00 to
spend. Which unit rate describes her
spending for each guest?
A $15.00
B $20.00
с $25.00
D$30.00
Answer:
B. $20.00
Step-by-step explanation:
What are the coordinates of points E, F, and GS
A. E (2, 3), F (8,5), G (5,8)
B. E (3, 2), F (8,3), G (5,6)
C. E (3, 2), F (8,4), G (5,7)
D. E (3, 3), F (9, 4), G (6,7)
Answer:
its a i think
Step-by-step explanation:
Select the correct answer.
What is the value of this expression when x=-6 and y=-2?
4(x + 3) - 2y
Answer:
-8
Step-by-step explanation:
Plug in the values of each variable:
4(-6 + 3) - 2(-2)
Use PEMDAS:
4(-3) - 2(-2)
-12 + 4
-8
Answer:
-8
Step-by-step explanation:
* means multiply
just plug in the values
4 ( -6 + 3 ) - (2 * -2)
use pemdas
so parenthesis first
4 * -3 - (-4)
then multiply
-12 - (-4)
-12 + 4
-8