Answer:
C, E, and F
Explanation:
There are two ways to answer this question. First, you could simply input each answer into both equations to see which one works but that would take quite a long time.
A better way is to simply solve each equation for x.
You could rewrite
2x + 7 < -3
as
2x + 7 = -3
and solve:
Subtract 7 from both sides
[tex](2x + 7) -7 = (-3) - 7\\2x = -10[/tex]
Now divide both sides by 2
[tex]\frac{2x}{2} = \frac{-10}{2}\\x = -5[/tex]
Now we can simply replace the equals sign with the inequality
x < -5
Where you can run into trouble is if you have to multiply or divide by a negative number across the equation, you must flip the inequality sign. It's best to leave it there to remind you, but I switched it out just to show that it's no different than a typical algebraic equation.
Now, we know that x can be any value less than -5. Let's find out the same thing for the second equation:
[tex]x - 8 + 3x < -4\\(x + 3x) -8 < -4\\4x - 8 < -4\\(4x - 8) + 8 < (-4) + 8\\4x < 4\\\frac{4x}{4} < \frac{4}{4}\\x < 1[/tex]
Now we know that x must be less than 1 for the second equation. So, now we can choose the answers that are both less than -5 and less than 1.
These answers are:
C. -10
E. -8.24
and
F. -15/2 which is -7.5
NOTE: -5 is equal to but not less than -5 so G is not included.
Find the missing side of this right
triangle.
13
8
х
x = [?]
Enter the number that belongs in the green box.
Answer: x=233
Step-by-step explanation:
The missing side of this right triangle will be 10.25. The given triangle is a right-angled triangle.
What is Pythagoras Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees, then we have:
|AC|² = |AB|² + |BC|²
13²=8²+ |BC|²
|BC|=10.25
The missing side of this right triangle will be 10.25.
Learn more about Pythagoras theorem refer:
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I need to find the missing angle and arc measures.
please answer
Step by step
9514 1404 393
Answer:
1: 40°; 2: 110°; 3: 70°; 4: 45°; 5: 65°
6: 70°; 7: 70°; 8: 65°; 9: 45°; 10: 17.5°
11: 15°; 12: 37.5°; 13: 70°; 14: 72.5°; 15: 20°
16: 87.5°; 17: 77.5°; 18: 35°; 19: 75°; 20: 20°
21: 50°; 22: 95°
Step-by-step explanation:
The angles are shown in the attached. The following relationships are used to find them.
an inscribed angle is half the measure of the arc it subtendsthe sum of angles in a triangle is 180°the angles where chords cross are half the sum of the intercepted arcsthe total of arcs in a semicircle is 180°an exterior angle of a triangle is equal to the sum of the remote interior anglesacute angles in a right triangle are complementary_____
All of the arcs around the circle are shown except EL and HN. EL is the difference between 180° and the other marked angles in semicircle SLH. It is 90°. HN has a vertical central angle with arc SE, so is the same measure, 40°.
Angle 1 is the central angle for arc HN, so has the same measure: 40°.
Angle 2 is half the sum of arcs SL and HW, so is (130+90)/2 = 110°.
Angle 3 is vertical to the second remote interior angle in triangle BDQ where angle 2 is an exterior angle. That is ∠3 = ∠2 -∠1 = 110° -40° = 70°.
Angle 4 is half arc NL, so is (40° +30° +20°)/2 =45°.
Angle 5 is the remaining interior angle of ∆BNW, so is 180° -70° -45° = 65°.
Angle 6 is half of arc HE, so is (30° +20° +90°)/2 = 70°.
Angle 7 is half of arc SN, so is 140°/2 = 70°.
— note that triangle HNQ is an isosceles triangle with central angle 40°, so the two base angles (∠6 and ∠7) are (180° -40°)/2 = 70°.
Angle 8 is half the measure of arc LS, so is (90° +40°)/2 = 65°.
Angle 9 is half the measure of arc HW, so is (40° +50°)/2 = 45°.
Angle 10 is half the measure of arc ST, so is 35°/2 = 17.5°.
Angle 11 is half the measure of arc OT, so is 30°/2 = 15°.
Angle 12 is half the measure of arc NO, so is (50° +25°)/2 = 37.5°.
Angle 13 is half the measure of arc HE, so is 140°/2 = 70°.
Angle 14 is half the measure of arc HT, so is (180° -35°)/2 = 72.5°.
Angle 15 is half the measure of arc ES, so is 40°/2 = 20°.
Angle 16 is vertical to the remaining interior angle of the triangle containing angles 14 and 15. Its measure is 180° -72.5° -20° = 87.5°.
Angle 17 is half the sum of arcs ES and OH, so is (40° +115°)/2 = 77.5°.
Angle 18 is half the measure of arc RN, so is (30° +40°)/2 = 35°.
Angle 19 is half the sum of arcs LR and EW, so is (20° +130°)/2 = 75°.
Angle 20 is half the measure of arc HN, so is 40°/2 = 20°.
Angle 21 is complementary to angle 1, so is (90° -40°) = 50°.
Angle 22 is the remaining interior angle of triangle ACE, so is (180° -35° -50°) = 95°.
What is the surface area?
Answer:
212
Step-by-step explanation:
hope you will understand
If 5% of 100 is 5 and 10% of 100 is 10, what is 35% of 100? Explain your reasoning.
Answer:
35% of 100 is 35
Step-by-step explanation:
the first person who answered this did a good job at explaining it
Answer:
35% of 100 is 35
Step-by-step explanation:
so trying to get this right hope it helps :D
Estimate the given rotation within 10 degrees:
Answer:
70∘
Step-by-step explanation:
look at pic 10 pts will mark brainilest
Answer:
C) It will not change
Hope this helps! :)
A bowl in Mr. Layman's classroom contains a total of 300 red and green Skittles, The number of red Skittles equals 3 times as many as the green Skittles. Which equation would NOT be helpful in solving this problem?
Answer:
you need to put the answer choices to pick from (I will edit this when you put them)
Step-by-step explanation:
Beth wants to buy Christmas lights to decorate her new home. At various stores, Beth found lights priced from $6.99 a strand to $25.99 a strand. Beth bought almost $200 worth of the cheapest lights so that she could have as many lights on her house as possible. For Beth, Christmas lights are a(n) _____.
Answer:
Christmas lights are price based shopping products
Step-by-step explanation:
From the question we understand that, Beth bought as many cheapest lights as possible. This means that she places value over quantity than quality.
The above is an illustration of price based shopping products where customers (in this case, Beth) see all products (in this case, Christmas lights) as similar products, irrespective of their different qualities (after all, they all light Christmas trees).
Because of this, the customer will opt for least expensive items, leaving the more expensive items.
Find the perimeter of the semicircular region. Round your answer to the nearest hundredth.
6 in.
9514 1404 393
Answer:
30.85 in
Step-by-step explanation:
The circumference of a circle with a 6" radius is ...
C = 2πr
C = 2π(6 in)
Then the curved portion of a semicircle with that radius will have the length ...
1/2C = 1/2(2π)(6 in) = 6π in . . . . curved length
The straight portion of the boundary of this figure is simply twice the radius, so is ...
2×6 in = 12 in . . . . straight length
__
The perimeter is the sum of the curved and straight lengths:
P = (6π +12) in ≈ 30.8496 in ≈ 30.85 in . . . . figure perimeter
A political pollster wants to know what proportion of voters are planning to vote for the incumbent candidate in
an upcoming election. A poll of 150 randomly selected voters is taken from the more than 2,000 voters in the
population, and 78 of those selected plan to vote for the incumbent candidate.
Based on this sample, which of the following is a 90% confidence interval for the proportion of all voters who
plan to vote for the incumbent candidate?
Answer:
90% confidence interval -> {0.4529, 0.5871}
Step-by-step explanation:
Check conditions for a 1-proportion z-interval:
np>10 -> 150(0.52)>10 -> 78>10 √
n(1-p)>10 -> 150(1-0.52)>10 -> 72>10 √
Random sample √
n>30 √
For a 90% confidence interval, the critical value is z=1.645
The formula for a confidence interval is:
CI = p ± z√[p(1-p)/n]
Given:
p = 78/150 = 0.52
n = 150
z = 1.645
Therefore, the 90% confidence interval is:
CI = 0.52 ± 1.645√[0.52(1-0.52)/150] = {0.4529, 0.5871}
Context: We are 90% confident that the true proportion of all voters who
plan to vote for the incumbent candidate is contained within the interval
f(x) = x2. What is g(x)?
A. g(x) = 4x²
B. g(x) = (1/4x)²
C. g(x) = (1/2x)²
D. g(x) = 1/4x²
Answer:
B. g(x) = (1/4x)²
Step-by-step explanation:
g(x) experiences a horizontal stretch where 0<|a|<1
This means we can eliminate A because that would be a horizontal compression since |a|>1
B seems to work because (1/4(4))^2=1
C does not work because you'll get 2 as your y-value
D does not work because you'd be taking 1/4 of x^2 which would give you 4.
Please help me with this question!! I also need the steps
Hi there!
[tex]\large\boxed{x = \frac{\pi}{3} \text{ and } \pi}[/tex]
We are given:
cos(7x)cos(4x) = -1 - sin(7x)sin(4x)
Begin by moving all terms with variables to one side:
cos(7x)cos(4x) + sin(7x)sin(4x) = -1
The corresponding trig identity is cos(A - B). Thus:
cos(7x - 4x) = cos(7x)cos(4x) + sin(7x)sin(4x) = -1
cos(3x) = -1
cos = -1 at π, so:
3x = π
x = π/3
We can also find another solution. Let 3π = -1:
3x = 3π
x = π
Thus, solutions on [0, 2π) are π/3 and π.
Given the following information: P(A) = 0.62 P(B) = 0.25 P(A and B) = 0.12 P(B given A) = 0.19 What is the probability of A or B? Round your answer to the nearest hundredth as needed. P(A or B) =|
Answer:
P(A or B) = 0.75
Step-by-step explanation:
Venn probabilities:
Supposing that we have two events A and B, the probability P(A or B) is given by:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
In this question, we have that:
[tex]P(A) = 0.62, P(B) = 0.25, P(A \cap B) = 0.12[/tex]
So
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B) = 0.62 + 0.25 - 0.12 = 0.62 + 0.13 = 0.75[/tex]
Then
P(A or B) = 0.75
The binomial (a+5) is a factor of a2+7a+10. What is the other factor?
(a+2)
(a+5)
(a−2)
(a−5)
Answer:
(a+2)
Step-by-step explanation:
a²+7a+10 = (a + 5) (a + 2)
a + 5
X 5a + ?a = 7a => 5a + 2a = 7a, 5 × ? = 10 => 5 × 2 = 10
a + 2
______
(a + 5) (a + 2)
Answer:
a
Step-by-step explanation:
who is spongeborb ???
Answer:
Spongeborb???
I don't know a spongeborb, but I DO know a spongebob
Spongebob is my homie, he lives right next door to me in his pineapple...and occasionally, I make him do my dishes
Answer: spongeborb?
SpongeBob SquarePants is the title character and protagonist of the American animated television series of the same name. He is a sea sponge who works as a fry cook at the Krusty Krab, a fast food restaurant known for its signature burger, the Krabby Patty.
Step-by-step explanation:
Have a nice day!
write numbers on the blanks to create a different expression that is equal to (3+4)+5
Answer:
(3+4)+5=12
Step-by-step explanation:
(3 + 4 ) = 7
7 + 5 =
12
CAN SOMEONE PLZZZ HELP ME? THIS IS DUE IN LIKE 5 MINUTES
Answer:
I think E im not sure which other one.
Step-by-step explanation:
Answer:
A and E
Step-by-step explanation:
hope this helps and hope you get a good score on your assignment/test/quiz
Find the value of 3/x+7
if X= 25.
A) 32
B) 82
C) -8
D) 22
Answer:
32
Step-by-step explanation:
Answer:
22
Step-by-step explanation:
If evaluated this is the answer!
7
11 X
Find the exact value of x.
X=
Do the side lengths form a Pythagorean triple?
o yes
O no
Answer:
[tex] \sqrt{49 + 121} = \sqrt{170} [/tex]
No , The side lengths of the triangle does not form a Pythagorean triple
The value of x = 13.038 = √170
What is a Triangle?
A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Given data ,
Let the triangle be ΔABC
Now , the base of the triangle BC = 11
The height of the triangle AB = 7
The hypotenuse of the triangle AC = x
Now , the length of AC can be calculated from the Pythagoras Theorem
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
And , AC² = AB² + BC²
Substituting the values in the equation , we get
AC² = 11² + 7²
AC² = 121 + 49
AC² = 170
Taking square roots on both sides of the equation , we get
The value of AC = √170
The value of AC = 13.038
Therefore , the value of x = 13.038
Hence ,
No , The side lengths of the triangle does not form a Pythagorean triple
The value of x = 13.038 = √170
To learn more about triangles click :
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The dot plots show the heights of the players on two basketball teams.
Which statement is best supported by these data?
Answer:
hgfdcvbjk
Step-by-step explanation:
jhgfdsxzxdcfvgbhjkl
NEEED HELP ASAP PLEASE
Step-by-step explanation:
[tex]( {m}^{15} )( {m}^{3} ) ^ {- 4} \\ = ( {m}^{15} )( {m}^{3 \times - 4} ) \\ = ( {m}^{15} )( {m}^{ - 12} ) \\ = {m}^{15 + ( - 12)} \\ = {m}^{15 - 12} \\ = {m}^{3} \\ {m}^{x} = {m}^{3} \\ x = 3[/tex]
pair of ratios. 1 : 2 = ___ : 8
Answer:
4
Step-by-step explanation:
Answer:
1 : 2 = 4 : 8
Step-by-step explanation:
quadrilateral PQRS has coordinates P(-5, -2), Q(-2, -2), R(-4, -6) and S(-7, -6). Where is P' after quadrilateral PQRS is reflected over the x-axis? PLEASE HELP!!! QUICK
A. (-5, 2)
B. (5, 2)
C. (5, -2)
D. (-2, 5)
Four hundred five trillion eighty-four million thirty thousand in numbers?
What is the mean of the data set?
{20, 1, 14, 14, 9,8}
Answer and Step-by-step explanation:
To find the mean, you have to add all of the data together, then divide by the amount that there is.
So, when adding together the data, we get 66. We have 6 values, so we will divide 66 by 6.
66 divided by 6 is 11.
The mean of the data set is 11.
#teamtrees #PAW (Plant And Water)
Answer:
11
Step-by-step explanation:
20+14+14+9+8=66
66 divide by 6 = 11
Mrs. Cole has a bag containing white and yellow marbles. Mrs. Cole randomly selects one marble from the bag, records the result, and returns the marble to the bag. The results of the first 65 selections are shown below. White Marble - 41 times Yellow Marble - 24 times Based on these results, what is the probability that the next marble Mrs. Cole selects, rounded to the nearest percent, will be white?
answer choices
40%
50%
59%
63%
if you let a soap in the floor does the soap is cleaning the floor or is the soap getting dirty?¿
Answer:
que
Step-by-step explanation:
no se
Answer:
soap is getting dirty regardless if there is water on the floor.
Step-by-step explanation:
You and your friend are
sharing 3/8 of a bag of candy.
How much of the bag will each
of you get if you share it
evenly?
Which operation will you
use for this problem (circle
one)
+ -
X =
Answer:
Each freind will get 3/16 of bag of candy
and Multiplication
plzzzzzzzzzzzzzzzzzzzzzzzzz help me this is a grade
Answer:
1.83
Step-by-step explanation:
Answer:
I'm not good with models and modeling but the answer will be 1.83.
Prisha is buying sandwiches at a café for herself and her daughter. If she buys 2 tuna sandwiches, the cost will be $14. If she buys 1 tuna sandwich and 1 chicken sandwich, the cost will be $16. How much will the cost be if she buys 2 chicken sandwiches?
Answer:
18$
Step-by-step explanation:
2 tuna sandwiches= 14$
1 tuna sandwich= 14÷2 = 7$
1 tuna sandwich + 1 chicken sandwich = 16$
7$ +1 cs= 16$
1 chicken sandwich = 16$- 7$
1 chicken sandwich = 9$
2 chicken sandwiches = 9x2 = 18$