We can apply the Pythagorean theorem:
c= (SQ)
a=RQ = 4
b=RS = 4
c²=a²+b²
c=√(16+16)
c=√32
c=4√2
SV=0,5*SQ
SV=0,5*c
SV=√2
Tamara has decided to start saving for spending money for her first year of college. Her money is currently in a large suitcase under her bed, modeled by the function s(x) = 450. She is able to babysit to earn extra money and that function would be a(x) = 6(x − 2), where x is measured in hours. Explain to Tamara how she can create a function that combines the two, and describe any simplification that can be done.
Answer:
t(x) = 6x + 438
Step-by-step explanation:
The total (marked it as t) amount of money that Tamara has is the sum of the money under her bed and the money that she makes by babysitting.
Note that the first function is fixed and doesn't actually depend on x (it could be written s = 450), so the only variable, which changes, is the hours (x) in the second function.
// combining the two functions
t(x) = 450 + 6(x − 2)
// simplification
t(x) = 450 + 6x − 12
t(x) = 450 + 6x − 12
// the simplified function is
t(x) = 6x + 438
Solve the equation x-20.7=9.5 for x
according to the rules of significant figures 1.25*200=300
will give brainliest pls
Answer:
It's false
Step-by-step explanation:
1.25*200=250 not 300.
Three years ago A's age was double of B's
age. Seven years hence, the sum of their
ages will be 83 years. Find the present
age of A?
Answer:
present Age of " A " will be (x) = 45 years
present Age of " B " will be (y) = 24 years
Step-by-step explanation:
Age of " A " = x years
Age of " B " = y years
(Three years ago A's age was double of B's age.)
==> (x-3) = 2 * (y-3)
==> x - 2y = -6 + 3
==> x - 2y = -3 -------------(1)
(Seven years hence, the sum of their ages will be 83 years )
==> (x+7)+(y+7) = 83
==> x + y = 83 - 14
==> x + y = 69 ------------(2)
Subtract equ.(1) & equ(2)
==> -2y - y = -3 - 69
==> -3y = -72
==> y = -72/(-3)
==> y = 24
Keep value of y in equ(2)
==> x + 24 = 69
==> x = 69 - 24
==> x = 45
What is the coefficient in the following expression
5+3x+ (-3)
Answer:
The coefficient is 3.
Step-by-step explanation:
The coefficient is the number that is grouped with an unknown number represented by a letter.
PLEASE HELP I NEED THIS
Answer:
See below.
Step-by-step explanation:
1) 3 congruent sides and 3 congruent angles: equilateral, equiangular, acute
2) 2 congruent sides and a right angle: right isosceles
3) 2 congruent sides and an obtuse angle: obtuse isosceles
4) 1 obtuse angle and all different lengths of sides: obtuse scalene
5) 1 right angle and all different side lengths: right scalene
6) 2 congruent sides, all acute angles: acute isosceles
7) x + 2 = 10
x = 8
8) 10x + 3 + 10x + 3 + 34 = 180
20x + 40 = 180
20x = 140
x = 7
Find the sale price of a $70 item after a 20% discount.
Answer:
$56
ez
Step-by-step explanation:
Lunch costs $2.25 per day. An equation showing the relationship between
the number of days, d, and the total cost of lunch, c, is c = 2.25d What is
the dependent variable?*
d = the number of days
c = the total cost of lunch
What is the answer?
Answer:
The dependent variable is c
Step-by-step explanation:
The cost of lunch changes with each day, so the cost depends on the number of days
Answer:
i agree c is the total cost
Step-by-step explanation:
-4x = 8
what is it??
Answer: if your solving for x it’s -2
Step-by-step explanation:
Answer:
x is -2
Step-by-step explanation:
because -4 x -2 is 8
Stephen Simmons received a single payment loan for a loan for $6,200. he agreed to repay the loan and 160 days at an interest rate of 10% ordinary interest. What is the maturity value of his loan when he pays it back in 160 days. 
9514 1404 393
Answer:
$6475.56
Step-by-step explanation:
The maturity value is ...
A = P(1 +rt)
where P is the principal amount, r is the annual rate, and t is the number of years. For ordinary interest, a year is 360 days, so the number of years is 160/360 = 4/9.
The loan value is ...
A = $6200(1 + 0.10×4/9) ≈ $6475.56
Stephen's loan has a maturity value of $6,475.56.
write an expression to express y in terms of x use your equation to complete the table
PLS HELPPPP QUICKLYYYY
Answer:
The answer is 1
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
x - 5 = y
6 - 5 = 1
Hope that helps!
A diagonal path divides a square park in half. If the park is 50 yards on each side, how long is the path? A. 10 yd. B. 250 C. 50 yd. D. 5000
Answer:
B) 250Step-by-step explanation:
Hope this helps!!
Answer: its 5000 i got it right
Step-by-step explanation:
Two sides of a right triangle measure 2 units and 4
units.
What is the area of the square that shares a side with the third side of the triangle?
units^2
2
squared
Hey there!
The answer is √20 or approximately 4.47
We can use the Pythagoreon Theorem, which is [tex]a^2 +b^2=c^2[/tex]. [tex]a[/tex] and [tex]b[/tex] are the names of the two sides, and [tex]c[/tex] is the name of the hypotenuse leg, or the longest side. We will plug the numbers into the formula, and solve:
[tex]2^2+4^2=c^2\\4+16=c^2\\20=c^2\\4.47...=c[/tex]
Have a terrifcly amazing day!
Find x, the angle of depression from the top of a lighthouse that is 153 ft above the water level to the waterline of a ship 1071 ft off shore. Round your answer to the nearest tenth of a degree.
Answer:
x = 8.1°
Step-by-step explanation:
Reference angle = x
Opposite side = 153 ft
Adjacent side = 1071 ft
Applying trigonometric ratio (TOA), we have:
[tex] tan(x) = \frac{opp}{adj} [/tex]
[tex] tan(x) = \frac{153}{1071} [/tex]
[tex] x = tan^{-1}(\frac{153}{1071}) [/tex]
[tex] x = 8.1 degrees [/tex] (nearest tenth)
An angle measures 9.4° more than the measure of its complementary angle. What is the measure of each angle?
Answer:
x = one angle
90 - x = complementary angle {complementary angles add up to 90�}
x = 90 - x + 86 {one angle is 86� more than its complementary angle}
x = -x + 176 {combined like terms on right}
2x = 176 {added x to each side}
x = 88 {divided each side by 2}
90 - x = 2 {substituted 88, in for x, into 90 - x}
one angle is 88�
the complementary angle is 2�
Step-by-step explanation:
Complete the last row for a different batch size that hasn’t been used so far in the table. Explain or show your reasoning.
How many total outcomes of desserts are possible?
A) 4
B) 14
C) 24
D) 34
Answer:
the answear is C because if you multiply the last two boxes you get 24
Given the sequence −2,−8/3,−103,−4,−14/3,... find the recursive formula.
A. a1=−2 and an+1=an+5/3
B. a1=−2 and an+1=an+1/3
C. a1=−2 and an+1=an−2/3
D. a1=−2 and an+1=an−5/3
I suppose the third term should say -10/3, not -103.
Notice that
-2 = -6/3
-4 = -12/3
so that, starting with the first term a(1) = -6/3, the every following term is obtained by subtracting 2/3.
-2 - 2/3 = -6/3 - 2/3 = -8/3
-8/3 - 2/3 = -10/3
-10/3 - 2/3 = -12/3 = -4
and so on.
So the recursive rule is
a(1) = -2,
a(n + 1) = a(n) - 2/3, for n ≥ 1
or C.
Andrew wants to buy new shirts for his job.
Andrew wants to buy at least 5 new shirts to wear to his new job.
Short sleeve shirts cost $14 each and long sleeve shirts cost $18 each.
Andrew wants to spend no more than $100.
Which system of inequalities can be used to find how many short sleeve shirts, x, and how many long sleeve shirts, y, he can buy?
Answer:
my anm,e is andrew and i dont have a job :/
Step-by-step explanation:
Answer:
x + y ≤ 5
14x + 18y ≥ 100
Step-by-step explanation:
just trust me
never trust strangers
Select all the correct answers.
A group of scientists is conducting an experiment on the effects of media on children. They randomly select 100 children and randomly assign each child to one of four treatment groups. Each treatment group has a specific amount of screen time during a one-week time frame. The first group has no screen time, the second group has two hours of screen time, the third group has four hours of screen time, and the fourth group has six hours of screen time.
After the first week, the scientists conduct the same experiment, with the same subject groups, for three more weeks so that each group experiences each of the four treatments.
Which statements about this study are true?
the study uses blocking
this study uses random sampling
this study uses blinding
this study uses a control group
this study uses a repeated measures design
Answer:
this study uses random sampling
this study uses a control group
this study uses a repeated measures design
Step-by-step explanation:
plato/edmentum
Correct answers bolded and italicized and underlined
the study uses blocking
this study uses random sampling
this study uses blinding
this study uses a control group
this study uses a repeated measures design
Step-by-step explanation:
no :)
What is the equation of this line? ILL MARK BRAINLIST
A ~ y = -x + 2
b~ y = 2x -2
C ~ cannot be determined
D~ y = 2x + 2
Encuentre el resultado de la suma de las fracciones, simplifique la fraccion. 6/7+2/8=
Answer:31/28
Step-by-step explanation:
Answer:
1 3/28
Step-by-step explanation:
Write an equation in slope intercept form for the line that passes through (0,4) and is parallel to y=3x-7
Write the sum of unit fraction for 2/3
The perimeter of a shape shows a car racing track, how far does a car travel in a race which consists of 23 laps 1.2km , 1.2 km 1.2km
Answer:
110.4km
Step-by-step explanation:
1 lap is equal to 4.8
4.8×23=110. 4
(Need someone to confirm)
= 28.16
Riya buys 9 square paving slabs, each with a side of 1m. She lays them in the form of square.
(b) Shari does not like her arrangement. She gets her to lay them out like a cross. What is
the perimeter of her arrangement?
Answer:
20 m
Step-by-step explanation:
4(3+2) = 20
Find the percent change from the first value to the second. Round to the nearest percent.
92; 23
Answer:
Step-by-step explanation:
23-92 = -69
-69/92 = -0.75 = -75%
81.04 x 0.010 answer please
Answer:
0.8104
Step-by-step explanation:
Answer:
0.8104
Step-by-step explanation:
Take the 0 out of the end of the 0.010 because there is no reason for it to be there.
Then you just multiply 81.04 by 1 because the rest of 0.01 is just zeros and the you get 81.04.
Then you count the decimal places in 0.01 which you get two so you move the decimal in 81.04 two times to the left.
Your answer should be .8104
I hope this helps!!!!
3x-4y=11
3x+2y=2
please help, I need to find what the answer is for x and y
Answer:
I have attached a picture of me solving the equation.
Now you must be wondering how I got the answer, well first simplify the expression in y = mx + b. Then graph it on demos. Do the same thing for the other expression. Pick any point that lies on the line. That is your solution to the equation.
The green line is the expression of 3x - 4y = 11. I simplify the equation in y = mx + b giving me y = 3/4x - 11/4.
The orange line is the expression of 3x + 2y = 2. I simplify the equation in y = mx + b giving me y = -3/2x + 1.
Hope this helps, thank you !!
To test the effectiveness of an exercise program in reducing high blood pressure, 15 participants had their blood pressures recorded before beginning the program and again after completing the program. The difference (after minus before) in blood pressure was recorded for each participant, and the sample mean difference was calculated. A hypothesis test will be conducted to investigate whether there is convincing statistical evidence for a reduction in blood pressure for all who complete the program. Which of the following is the correct set of hypotheses?
A. H0 : bar xD = 0
Ha : bar xD is not equal to 0
B. H0 : bar xD = 0
Ha : bar xD > 0
C. H0 : mu D = 0
Ha : mu D is not equal to 0
D. H0 : mu D = 0
Ha : mu D > 0
E. H0 : mu D = 0
Ha : mu d < 0
Answer:
E.
H0 : mu D = 0
Ha : mu d < 0
Step-by-step explanation:
The hypothesis is to test if there is a reduction in blood pressure for those who complete the program, this means if the mean difference in blood pressure (that is after - before) is less than 0. Here, the hypothesis is the alternative side while the opposite, that is, there is no difference in blood pressure before and after is the null.
This means :
H0 : μD = 0
Ha : μD < 0
You can use the definitions for null and alternate hypotheses
The correct set of hypothesis is given by:
Option E. [tex]H_0: \mu_D = 0[/tex]
[tex]H_a: \mu_D < 0[/tex]
How to form the hypotheses?There are two hypotheses. First one is called null hypothesis and it is chosen such that it predicts nullity or no change in a thing. It is usually the hypothesis against which we do the test. The hypothesis which we put against null hypothesis is alternate hypothesis.
Null hypothesis is the one which researchers try to disprove.
How to find the correct set of hypothesis for the given situation?Since the test is to test the effectiveness of the exercise program, thus the wish of the tester is to get the result that effectiveness is there. This will be the alternate hypothesis and the null hypothesis will be that there is no difference in the blood pressure before and after the exercise. Thus, we will test against the null hypothesis.
Since the evidence is to be found for all of the people who completed the program, thus it is hypothesis about population perimeter. The average blood pressure difference of the population is denoted by [tex]\mu_D[/tex] and that of the sample is denoted by [tex]\overline{x}_D[/tex]
Thus, we have:
Null hypothesis = the difference in average blood pressure before and after the program of the population is not changed(thus 0 is the difference) = [tex]H_0: \mu_D = 0[/tex]
Alternate hypothesis = the difference in average blood pressure is reduced(since the test is for seeing if the blood pressure is reduced or not) = [tex]H_a: \mu_D < 0[/tex]
Thus,
The correct set of hypothesis is given by:
Option E. [tex]H_0: \mu_D = 0[/tex]
[tex]H_a: \mu_D < 0[/tex]
Learn more about null and alternative hypothesis here:
https://brainly.com/question/18831983