Answer:
The correct answer is (0, -2) (5, -5) (-3, 4)
Step-by-step explanation:
The given inequality is x ≥ -3
To find the correct answers
1) (0, -2)
x ≥ -3
0 ≥ -3 TRUE
2) (5, -5)
x ≥ -3
0 ≥ -3 TRUE
3) (-3, 4)
x ≥ -3
0 ≥ -3 TRUE
4) (-4, -2)
x ≥ -3
5 ≥ -3 FALSE
Therefore the correct answer is (0, -2) (5, -5) (-3, 4)
Answer:
(0,-2)
(5,-5)
(-3,4)
Step-by-step explanation:
The given inequality is [tex]x\ge -3[/tex]
If any of this points is a solution, then it must satisfy the given inequality;
We substitute the first point (0,-2) to obtain;
[tex]0\ge -3[/tex]. This is true. hence (0,-2) is a solution.
We substitute the first point (5,-5) to obtain;
[tex]5\ge -3[/tex]. This is also true. Hence (5,-5) is a solution.
We substitute the first point (-3,4) to obtain;
[tex]-3\ge -3[/tex]. This is also true. Hence (-3,4) is a solution.
We substitute the first point (-4,2) to obtain;
[tex]-4\ge -3[/tex]. This is false. Hence (-4,2) is not a solution.
The first three options are correct.
A chemical company makes two brands of antifreeze. The first brand is 45% pure antifreeze and the second brand is 70% pure antifreeze. In order to obtain 150 gallons of a mixture that contains 55% pure antifreeze, how many gallons of each brand of antifreeze must be used?
First brand: ____ gallons
Second brand: ___ gallons
Answer:
First brand(45%): 90 gallons
Second brand(70%): 60 gallons
Step-by-step explanation:
"The first brand is 45% pure antifreeze and the second brand is 70% pure antifreeze. In order to obtain 150 gallons of a mixture that contains 55% pure antifreeze, how many gallons of each brand of antifreeze must be used?
First brand: ____ gallons
Second brand: ___ gallons"
We know that 70 is 15 away from 55, and 45 is 10 away, making this a 10: 15 ratio of 70 to 45 (because the 70 can only counteract the 45 by 10, and the 45 can only counteract the 70 by 15 unless they want to overshoot the 55% average ).
This means that .4*150 is 70% and .6*150 is 45%
This means there is First brand: 90 gallons
Second brand: 60 gallons
One serving of vegetables has 60 calories. Write the unit rate as a ratio. Then write an equivalent ratio.
Answer:
1:60, 2:120
Step-by-step explanation:
In one serivng there are 60 calories, i.e. 60 calories per serving. This is 1:60, an equivalent is 2:120
1:60, 9:540
Hope this helps!
in triangle ABC, what is the measure of angle C
It is any fraction except 0 of 180°.
Answer:
36 degrees
Step-by-step explanation:
can anyone Explain in words why these are equivalent expressions.
10(b + 4c) is equivalent to 10b + 40c
Answer:
The distributive property says that when there is a number outside of parenthesis, this means it should be distributed (or multiplied) to the values inside the parenthesis.
So in this situation, 10 x b = 10b
and 10 x 4c = 40 c
so 10(b + 4c) becomes 10b + 40c once the 10 is distributed within the parenthesis.
I hope this helps!
Answer:
They are equivalent expressions because if you use distributive property and multiply 10*b, then multiply 10*4c, you get 10b+40c
Step-by-step explanation:
Convert z = 8cos72° + 8isin72° from polar form to rectangular form.
Answer:
The rectangular form of z = 8 cos72° + 8 sin72° is z = (2.5 , 7.6)
Step-by-step explanation:
* Lets revise how to change from polar form to rectangular form
- Cartesian Coordinates (x , y) and Polar Coordinates (r , θ)
- Where x = r cosФ , y = r sinФ
* To convert from Polar Coordinates (r , θ) to Cartesian Coordinates (x , y)
# x = r × cos( θ )
# y = r × sin( θ )
* In the problem
∵ z = 8 cos72° + 8 sin72°
∴ r = 8
∴ Ф = 72°
∵ x = r cosФ
∴ x = 8 cos72° = 2.5
∵ y = r cosФ
∴ y = 8 sin72° = 7.6
* The rectangular form of z = 8 cos72° + 8 sin72° is z = (2.5 , 7.6)
Distributive property 7(2n+3)
its 14n+21. 7×2n is 14n, and 3×7 is 21
Answer:
[tex]7(2n+3)=14n+21[/tex]
Step-by-step explanation:
[tex]7(2n+3)=(7*2n)+(7*3)\\\\ 7*2n=14n\\ 7*3=21\\ \\ 7(2n+3)=14n+21[/tex]
A basketball coach claims that the team's players commit, on average, no more than 10 fouls per game. Let µ represent the team's average number of fouls per game. Another coach thinks that these players create more fouls.
What is the null hypothesis, H0, for this situation?
(B) u ≤ 10
What is the alternative hypothesis, Ha, for this situation?
(B) u > 10
What type of significance test should be used for this situation?
A right-tailed test
These are the correct answers but I don't know the explanations for them someone help me out
Answer:
H0: u ≤ 10
Ha: u > 10
A right-tailed test
Step-by-step explanation:
In hypothesis testing there are two types of hypotheses;
The null hypothesis, H0 and the alternative hypothesis, Ha. The null hypothesis is the hypothesis of no difference and as such it always has an equality sign;
=, ≤, ≥
On the other hand the alternative hypothesis complements the null hypothesis meaning that if the null hypothesis is rejected then we take the alternative hypothesis to be true.
In order to identify the null and alternative hypothesis we look out for specific key words that will provide us with information on the type of inequality sign. In this scenario, the coach claims that the average number of fouls committed per game is no more than 10. Since µ represents the team's average number of fouls per game, this statement can be written in mathematical symbols as;
u ≤ 10, that is u is no more than 10; average number of fouls committed per game is no more than 10.
This statement will be our null hypothesis since it contains an equality sign.
H0: u ≤ 10
The complement of this statement will enable us deduce the alternative hypothesis. The complement of this statement can be found in the claim of the second coach who thinks that these players create more fouls, to be specific more than 10 fouls. In mathematical notation this claim can be written as;
u > 10, more than 10 fouls.
This statement will be our alternative hypothesis since it complements the null hypothesis;
Ha: u > 10
The type of significance test to be carried out in hypothesis testing emanates from the inequality sign of the alternative hypothesis. The following are the key points to note, if the alternative hypothesis contains;
≠, then this automatically becomes a two tailed test
<, then this automatically becomes a left tailed test since the inequality sign is pointing towards the left.
>, then this automatically becomes a right tailed test since the inequality sign is pointing towards the right.
Our alternative hypothesis contains >, hence this will be a right-tailed test .
Answer:
Answer is B
Step-by-step explanation:
Please help me!! Or can you just tell me why the statement is false
Answer:
Because 0 is basically nothing. This would only change if X=-9. In that case , |x| < 0.
Step-by-step explanation:
Im just a sixth grader so..........
What would be the expression?
6*6-(3*3)-(2*2) is the answer
Divide and answer in simplest form: 5 3 ÷ 3
Answer: 17.7 (rounded)
Step-by-step explanation:
53/3= 17.6 ..
17.6 rounded is 17.7
Answer:
result is 17.7
Step-by-step explanation:
in the triangles, gk=pn and hg=mp. which statement correctly compares the angles
Answer:
Angle G is smaller than angle P
Step-by-step explanation:
In this problem we know that
MN > HK
therefore
∠P > ∠G
The measure of angle P is greater than the the measure of angle G
Rewrite
∠G < ∠P
The measure of angle G is smaller than the the measure of angle P
Answer:
Angle G is smaller than angle P
Step-by-step explanation:
What is the total perimeter of this figure in inches?
Answer:
12
Step-by-step explanation:
What are two numbers that multiply to -90 but add up to 1?
I'm so bad at facts ;-;
10 and -9. 10 times -9 equals -90 and 10+ -9 equals 1
Jenny will roll a number cube, numbered 1-6, twice. What is the probability of rolling an odd number, then an even number?
Answer:
1/2
Step-by-step explanation:
1,3,5: 3/6
2,4,6: 3/6
6/12
I haven’t done area in a while and now we have to do with algebra, can anyone please help me with this? Thanks!
Answer: The area of the triangle is:
____________________________________________________
→ " (4x² + 6x) cm³ " .
____________________________________________________
Step-by-step explanation:
____________________________________________________
The formula for the "Area, "A" ; of a triangle is:
A = (1/2) * (baselength) * (perpendicular height) ;
→ that is:
→ A = (1/2) * b * h ;
____________________________________________________
The Area, "A" ; should be in "cubic units" ; in our case, "cubic centimeters" ;
or; " cm³ " .
____________________________________________________
Given: baselength: "b" = " 4x " ;
perpendicular height: " h = (2x + 3) " ;
____________________________________________________
Plug in these values into the equation/formula:
A = (1/2) * b * h ;
→ A = (1/2) * (4x) * (2x + 3) ;
→ (1/2) * 4x = 2x ;
→ A = 2x (2x + 3) cm³
____________________________________________________
→ 2x (2x + 3) = ?
____________________________________________________
Note the "distributive property" of multiplication:
→ a(b + c) = ab + ac .
____________________________________________________
As such:
→ 2x (2x + 3) = 2x(2x) + (2x)(3) ;
= 4x² + 6x ; ____________________________________________________
The area of the triangle is: " (4x² + 6x) cm³ " .
________________________________________________
Hope this helps!
Best wishes in your academic endeavors
— and within the "Brainly" community!
____________________________________________________
3.7 ÷ 1.1 = ? Round to the nearest hundredth. A. 4.8 B. 0.297 C. 4.07 D. 3.36
The answer is D.
Hope this helps!
Answer:
D. 3.36
Step-by-step explanation:
Just by intuition, we can see that 3.7 / 1.1 will give a result somewhere around 3.3 (forget the decimal point, think 37 / 11). That automatically allows you to zoom in on the correct answer, based on the other choices.
But let's verify it too.
3.7 / 1.1 = 3.363636
They ask to round to the nearest hundredth, so 3.363636 becomes 3.36
suppose the probability of success in a binomial event is 0.15. what is the probability of failure
Answer:
Step-by-step explanation:
85
Use the bar graph. Describe how the amount of practice time changed from Week 1 to Week 4
there is no bar graph here
Select whether the number is rational, irrational, or imaginary.
3/11
rational
irrational
imaginary
Irrational because it can not be a whole number
The angles of a triangle are 30,60,and 90 ls this a unique triangle?Justify your answer.
A triangle with angles of 30, 60, and 90 degrees is a unique and special type of right triangle known as a 30-60-90 right triangle, which has consistent properties and side ratios in Euclidean geometry.
Yes, a triangle with angles of 30, 60, and 90 degrees is a unique triangle, known as a 30-60-90 right triangle. This classification is based on the fact that in Euclidean geometry, the sum of the angles in any triangle is exactly 180 degrees. Since one of the angles is given as 90 degrees, this indicates it is a right triangle, and the remaining angles must add up to 90 degrees. Given that the other two angles are 30 and 60 degrees, this satisfies the requirement exactly, making it a specific type of right triangle with consistent properties.
For example, the sides of a 30-60-90 triangle are always in the ratio 1:√3:2. The side opposite the 30-degree angle is the shortest; the side opposite the 60-degree angle is √3 times longer; and the hypotenuse, opposite the 90-degree angle, is twice as long as the shortest side. These proportions and the angles create the unique properties of the 30-60-90 triangle, and they can be applied in trigonometric calculations and proofs. This distinct set of angles and side ratios is what makes the 30-60-90 triangle a special and unique case in geometry.
What should I type here? Will give Brainliest and 25 points Help ASAP!
Answer:
6+10=16 That is your length.
Step-by-step explanation:
Answer:
POINTSS
Step-by-step explanation:
I WANT POIITNS
the 7 in 72 represents how many times the value of the 7 in 78
Answer:
1
Step-by-step explanation:
Knowing what place values are, we know that since both of those numbers have the 7 in the tens place, it represents 70. So both of those number are 70 plus another number (under 10)
Answer:
1
Step-by-step explanation:
1
Please need help very badly.
Find the area of the shaded area.
Round to the nearest tenth
Answer:
192.5 ft²
Step-by-step explanation:
Area of the sector
= (360-100)/360 x π(8.35)²
= 158.195 ft²
Area of the triangle
= 1/2 (8.35)(8.35) sin (100)
= 34.3316 ft²
Area of the shaded part
= 158.195 + 34.3316
= 192.5 ft²
Vito buys a twin mattress that is 39 inches wide and 75 inches long. He wants to buy a quilt to cover the top of the mattress. Which expression can he use to find the area of the top of the mattress?
39 + 75
2(39) + 2(75)
39 × 75
39(75) + 39(75)
Answer:b 2(39) +2(75)
Step-by-step explanation:
Because there are four corners of a mattress your going to take the length and width of the mattress and multiply each time to then add them to get the exact size your needing
Answer:
39 × 75
Step-by-step explanation:
Since, the shape of the twin mattress is rectangular,
Given,
The length of the mattress = 75 inches,
Width of the mattress = 39 inches,
Now, the the area of the top of the mattress( which is covered by the quilt) = Area of the mattress
We know that,
The Area of a rectangle = Length × Width
Hence, the area of the top of the mattress = 75 × 39
= 39 × 75
Third option is correct.
A kite store has a kite tethered to the top of a 6 foot pole at the beach. The kite is flying at a height, H, of 186 ft above the ground. The angle between the string and the ground is 60°. What is the length of the kite string, L?
See the attached picture for the solution.
Round the answer as needed.
Answer:
211.8 feet.Step-by-step explanation:
This problem models a right triangles, where the hypothenuses is the length of the string, and one leg would be 180ft, which is the difference between the total height from the ground and the pole height (186-6=180). Also, the angle in front of the knowing leg is 60.
As, based on all given values, we can apply trigonometric reasons to the hypothenuse, which is L.
[tex]sin60=\frac{180}{L}\\ L=\frac{180}{sin60}\\ L=\frac{180}{\frac{\sqrt{3} }{2} }\\ L=\frac{360}{\sqrt{3}}=\frac{360}{1.7} \approx 211.8ft[/tex]
Therefore, the length of the kite string is around 211.8 feet.
what is the value of x, 6x +2=180
Answer: [tex]x=\frac{89}{3}[/tex] or [tex]26\frac{2}{3}[/tex]
[tex]\mathrm{Subtract\:}2\mathrm{\:from\:both\:sides}\\6x+2-2=180-2\\6x=178[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}6\\\frac{6x}{6}=\frac{178}{6}\\[/tex]
[tex]x=\frac{89}{3}[/tex]
Hope this helps and have a great day!!!
Answer: there are three answers. the exatct, decimal, and mixed. i will give them all!
exact: X= 89/3
decimal: x= 29.6
mixed: x= 29 2/3
Step-by-step explanation:
Let g(x) = 2x2 - 11x. Find g(1).
A) -13
B) -9
C) 9
D) 11
Answer:
(B) -9
Step-by-step explanation:
g(x) = 2x² - 11x
To find g(1), we substitute x = 1 into g(x).
g(x) = 2x² - 11x
g(1) = 2(1)² - 11(1) = 2 - 11 = -9
ANSWER
B) -9
EXPLANATION
The given function is
[tex]g(x) = 2 {x}^{2} - 11x[/tex]
Put x=1 into the given function to obtain;
[tex]g(1) = 2 {(1)}^{2} - 11(1) [/tex]
Simplify to get:
[tex]g(1) = 2 (1) - 11(1) [/tex]
[tex]g(1) = 2 - 11 = - 9[/tex]
The correct choice is B.
expand 2(x+3) plss coukd u expand it
Answer:
2x + 6
Step-by-step explanation:
Each term in the parenthesis is multiplied by the 2 outside, that is
2(x + 3)
= (2 × x) + (2 × 3)
= 2x + 6
Need Help ASAP!!
What’s the future value of a $1,000 investment compounded at 8% semiannually for five years?
Answer:
$1480.24
Step-by-step explanation:
This will be solved by the formula:
[tex]FV=I(1+r)^t[/tex]
Where
FV is the future value (what we are looking for)
I is the initial amount (which is $1000)
r is the rate of interest per period (8% is annual interest, but the period is SEMI-ANNUAL, that's 6 months, half of yearly. So r would be half of 8%, which is 4% or r = 0.04)
t is the times compounding occurs in the whole time (The whole time period is 5 years, but compounding occurs semi-annually, so 5*2 = 10 times. Thus, t = 10)
plugging the info into the formula we will get our answer.
[tex]FV=I(1+r)^t\\FV=1000(1+0.04)^{10}\\FV=1000(1.04)^{10}\\FV=1480.24[/tex]
Answer:
C. $1,480
Step-by-step explanation:
Plato
Help me please anyone!
Answer:
1) 13(2) + 2m = A
2) 70
Step-by-step explanation:
The answer in the there: