Answer:
102
Step-by-step explanation:
All angles added together=180
180-13-65
180-78
102
How much sales tax would you pay for a $55 pair of roller blades if the tax rate is 6.625%?
Answer:
≈ 3.64 sales tax
Step-by-step explanation:
55 × 0.06625 = 3.64375
please select the best answer from the choices provided
Answer:
[tex]\sqrt{122}[/tex]
Step-by-step explanation:
Given that,
Vector n = 4i-j
Vector m = 3i+3j
We need to find the value of m+2n.
Put all the values,
m+2n = (3i+3j)+2(4i-j)
= (3i+3j)+8i-2j
=11i+j
Magnitude of vector,
[tex]|m+2n|=\sqrt{11^2+1^2} \\\\=\sqrt{121+1}\\\\=\sqrt{122}[/tex]
So the correct option is (c).
What are the values of x in the equation (x - 3)2 = 7?
Answer:
Exact Form - 13/2
Decimal Form - 6.5
Mixed Number Form - 6 1/2
Hope this helps
please help me i dont understand it and i dont know the answers
Answer:
Step-by-step explanation:
a) y=[tex]x^{2} -4x[/tex]
x=-1 ⇒ y=[tex](-1)^{2} +4=1+4=5[/tex]
x=1 ⇒ y=[tex]1^{2} -4=1-4=-3[/tex]
x=2 ⇒ y=[tex]2^{2} +8=4-8=-4[/tex]
x=4 ⇒ y=[tex]4^{2} -16=16-16=0[/tex]
b) [tex]x^{2} -4x[/tex]=[tex]x^{2} -4x+4-4=(x-2)^{2}-4[/tex]
so the blue one
Which of the ratios below is equivalent to 1:8? Select all that apply.
A) 16:2
B) 3:24
C) 4:12
D) 5:40
E) 7:56
Answer:
B) 3:24
D) 5:40
E) 7:56
Step-by-step explanation:
3x8= 24
3:24= 1:8
5x8= 40
5:40= 1:8
7x8= 56
7:56= 1:8
What is the approximate area of the circle shown below?
O A. 49 cm2
O B. 191 cm2
O C. 96 cm2
O D. 24.5 cm
Answer:
B. 191 cm2
Step-by-step explanation:
have a nice day!!! :)
The area of the Circle is 191.03 cm².
Option B is correct.
What is Area of Circle?Geometric shape of a circle with a closed plane. A circle is a locus of a point that moves around a fixed point at a fixed distance away from the point.
The space occupied by a circle in a two-dimensional plane is defined as its area. Conversely, the area of a circle is the space occupied within the boundary/circumference of a circle.
The area of a circle is calculated as A = πr², where r is the radius of the circle.
Given:
r = radius = 7.8cm
π = 3.14
So, area of Circle
= πr²
Now, substitute the values we get
= 3.14 x 7.8 x 7.8
= 3.14 x 60.84
= 191.03 cm²
Thus, the Area of Circle is 191.03 cm².
Learn more about Area of Circle here:
https://brainly.com/question/28642423
#SPJ7
A parabola with a vertex at (0,0) has a directrix that crosses the negative part of the y-axis.
Which could be the equation of the parabola?
A. x² = –4y
B. x² = 4y
c.y² = 4x
D.y² = –4x
Answer:
A parabola can be represented by the equation x2 = -20y. ... (0,-2). The directrix of the parabola is represented by y = 2. ... A parabola, with its vertex at (0,0), has a focus on the negative part of the y-axis. ... The directrix will cross through the positive part of the y-axis. ... Which graph represents the equation y2 = -4x? A ...
Step-by-step explanation:
yeiii
An insect population doubles every week. The function f(x)= 10(2)^x models the insect population after x weeks what will the population be after 4 weeks?
A.80
B.20,000
C.160
Given:
The insect population function is:
[tex]f(x)=10(2)^x[/tex]
Where x is the number of weeks.
To find:
The population after 4 weeks.
Solution:
The population of insect after x weeks is given by:
[tex]f(x)=10(2)^x[/tex]
We need to find the population after 4 weeks.
After substituting [tex]x=4[/tex], we get
[tex]f(4)=10(2)^4[/tex]
[tex]f(4)=10(16)[/tex]
[tex]f(4)=160[/tex]
The population after 4 weeks is 160. Therefore, the correct option is C.
Can someone pls help me to solve 15 and 16 and answer 17 I will mark you the brainly pls I will really appreciate
Answer:
15) x = 20
16) y = 45°, z = 30°
17) all 4 corners = 90°, all 4 sides are equal length, diagonals are perpendicular, diagonals bisect the corner angles.
We can't do the extra credit because we do not have a relationship about the side lengths. We just have angle information.
Step-by-step explanation:
15) 2x + 8 = 3x - 12
x = 20
16) 2y = 90°
y = 45°
3z = 90°
z = 30°
asdasdasdsadasasdasd
Given the figure below, find the value of x and y. Thank you!
HELP ASAP ASAP PLEASE
Answer:
16
Step-by-step explanation:
20^2-12^2=256
400-144=256
sqrt 256 = 16
Factorise x^2 + 10x + 16
Describe all 6 parts, for example, side "a" is one of the legs of the right triangle and is opposite Angle A, which is an acute angle, and side a appears to be the shortest side.
Answer:
The description of the 6 parts of the right triangle ABC are as follows;
The legs of the right triangle are side "a" and side "b"
The hypotenuse side of the right triangle is side "c"
The acute angles are ∠A and ∠B
The 90° angle is ∠C
The description of the 6 parts are therefore given as follows;
1) A; ∠A is the acute angle opposite side "a" and ∠A is formed between the hypotenuse side "c" and the leg "b"
2) B; ∠B is the acute angle opposite side "b" and ∠B is formed between the hypotenuse side "c" and the leg "a"
3) C; ∠C is the 90° angle (right angle) opposite the hypotenuse side "c" and ∠C is formed between the the two legs "a" and "b"
4) a; Side "a" is one of the two legs of the right triangle ΔABC and it is the leg opposite to ∠A
5) b; Side "b" is one of the two legs of the right triangle ΔABC and it is the leg opposite to ∠B
6) c; Side "c" is the hypotenuse side of the right triangle ΔABC and it (the hypotenuse side) is (all the time) the longest side of the right triangle and it is the leg opposite to ∠A
Step-by-step explanation:
please with this problem I'm not sure what to put
..............
131° 1079
47°
х
o
XE
Enter the number that goes in the green box.
[?]
Enter
Answer:
x=75
Step-by-step explanation:
Sum of the interior angles of a trapezoid = 360°
That being said we can calculate the measure of the missing angle (x) by subtracting the given angles (131, 107 and 47) from 360
so x = 360 - 131 - 107 - 47
360 - 131 = 229
229 - 107 = 122
122 - 47 = 75
so x = 75
f(x)=5x^2+5x-30
if anyone can help me that would be great
Answer:
x= 2,-3
Step-by-step explanation:
Is this what you want?
A certain country has
578.16 million acres of forest. Every year, the country loses 7.92
million acres of forest mainly due to deforestation for farming purposes. If this situation continues at this pace, how many years later will the country have only 237.6 million acres of forest left? (Use an equation to solve this problem.)
Answer:
Plzzzz answer fast....
A circle is centered on point B. Points A, C and D lie on its circumference.
If ZABC measures 40°, what does ZADC measure?
Given:
A circle is centered on point B.
Points A, C and D lie on its circumference.
If [tex]m\angle ABC[/tex] measures 40°.
To find:
The [tex]m\angle ADC[/tex].
Solution:
Central angle theorem: According to this theorem, the central angle is equal to the twice of inscribed angle on the same intercepted arc.
In the given figure [tex]\angle ABC[/tex] is the central angle and [tex]m\angle ADC[/tex] is the inscribed angle on the same arc AC.
Using central angle theorem, we get
[tex]m\angle ABC=2m\angle ADC[/tex]
[tex]40^\circ=2m\angle ADC[/tex]
[tex]\dfrac{40^\circ}{2}=m\angle ADC[/tex]
[tex]20^\circ=m\angle ADC[/tex]
Therefore, the measure of angle ADC is 20°.
Evaluate 17x + 5.5y when x = 6 and y= 9
Step-by-step explanation:
given x = 6, y = 9,
[tex]17x + 5.5y = 17(6) + 5.5(9) \\ = 102 + 49.5 \\ = 151.5[/tex]
Answer:
151.5
Step-by-step explanation:
= 17(6) + 5.5(9)
= 102 + 49.5
= 151.5
Hope you got it..
What number goes in the highlighted box?
Serafine went shopping and bought the following items:
SERAFINE'S SHOPPING LIST
1 loaf bread $2.99
1 jar peanut butter $3.19
3 pounds apples $2.59
She had one coupon for $0.25 off and another for $0.40 off. Which expression represents
the total amount she needs to pay?
A
B
$2.99+ $3.19+ $ 2.59+ $0.25 + $0.40
$2.99 + $ 3.19+ $ 2.59+($0.25 - $0.40)
c$2.99+ $3.19+ $ 2.59+(- 50.25 + $0.40)
$2.99+ $3.19+ $2.59+- $0.25)+(- $0.40)
D
Answer:
I am going to assume that D's expression is actually $2.99+$3.19+$2.59+(-$0.25)+(-$0.40)
= $6.18+$2.59-$0.25-$0.40 [Note: (+)*(-)=(-)]
=$8.77-$0.25-$0.40
=$8.52-$0.40
=$8.12
Step-by-step explanation:
The prices of the loaf bread, a jar of peanut butter and 3 pounds of apples will be added. The value of the coupons will be then reduced from the total to get the final total.
If 11% of a number equals 4, find 66% of that number.
Answer:
66% of the formerly unknown number comes out to 24.
Step-by-step explanation:
0.11n = 4, so n (the number in question) is equal to 4/0.11, or 36.36.... (a repeating decimal). 66% of this n would be 0.66(4/0.11), or 24.
66% of the formerly unknown number comes out to 24.
can somebody help me with this ty!!
plz help on this one
Answer:
I beleive is it B "The domain is the set of real numbers great then 2."
Answer:
a
Step-by-step explanation:
my aunt is a teacher she told me the answer
UMMM WHAT.... I NEED HELP ASAP
Answer:
try using photomath, it might help you with the graph
Answer:
the one on the bottom
Step-by-step explanation:
one batch of walnut muffins uses 1 1/3 cups of walnuts how many cups of walnuts are needed to make 3 3/4 batches of muffins
Answer:
multiply them together
Step-by-step explanation:
Answer:
The answer is 5 cups!
Step-by-step explanation:
since 1 1/3 multiplied by 3 3/4 is 5! <3
im B.O.R.E.D I NEED TO T.A.L.K
Answer: hi thanks for the five
Step-by-step explanation:
Test Booklet AP CollegeBoard AP Statistics Name Unit 7, part 2 Test (MC) 1. A statistics student wants to compare the mean times needed to access flight information for two major airlines. Twenty randomly selected students accessed one airline's Web site, and the time required to locate the flight information using the Web site had a mean of 2.5 minutes and a standard deviation of 0.8 minute. Twenty different randomly selected students accessed the other airline's Web site, and the time required to locate the flight information using the Web site had a mean of 2.1 minutes and a standard deviation of 1.1 minutes. Assuming that the conditions for inference are met, which of the following statements about the p- value obtained from the data and the conclusion of the significance test is true?
A. The p-value is less than 0.01; therefore, there is a significant difference in mean search times on the two Web sites
B. The p-value is greater than 0.01 but less than 0.05, therefore, there is a significant difference in mean search times on the two Web sites.
C. The p-value is greater than 0.05 but less than 0.10, therefore, there is a significant difference in mean search times on the two Web sites.
D. The p-value is greater than 0.10, therefore, there is no significant difference in mean search times on the two Web sites
E. Since this is a matched-pairs situation, additional information is needed to perform a test of significance
Answer:
The statement about the p-value obtained from the data and the conclusion of the significant test that is true is option D
D. The p-value is greater than 0.10, therefore, there is no significant difference in mean search times on the two Web sites
Step-by-step explanation:
From the question, the statistics student wants to compare the mean times needed to access flight information for two airlines
Let 'A' represent one of the airlines and let 'B' represent the other airline
In the statistics hypothesis test we have;
The mean time to access airline A's website, [tex]\overline x_1[/tex] = 2.5 minutes
The standard deviation to access airline A's website, s₁ = 0.8 minutes
The mean time to access airline B's website, [tex]\overline x_2[/tex] = 2.1 minutes
The standard deviation to access airline B's website, s₂ = 1.1 minutes
The t-test is given as follows;
The null hypothesis is H₀; μ₂ - μ₁ = 0
The alternative hypothesis is H₀; μ₂ - μ₁ ≠ 0
[tex]t=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{\dfrac{s_{1}^{2} }{n_{1}}+\dfrac{s _{2}^{2}}{n_{2}}}}[/tex]
The critical-t at n₁ + n₂ - 2 = 20 + 20 - 2 = 38 degrees of freedom is therefore, from a graphing calculator, the critical-t = ±2.734 and the probability = 0.197;
[tex]t=\dfrac{(2.5-2.1)}{\sqrt{\dfrac{0.8^{2} }{20}+\dfrac{1.1^{2}}{20}}} \approx 1.32[/tex]
Therefore, given that the test statistic is smaller than the critical-t, and the p-value is greater than the significance level of 0.01 and is also larger than 0.10, therefore, there is no significant difference in mean search times on the two Web sites.
10. Write the slope-intercept form of the equation of the
line parallel to the graph of 9x + 3y = 6 that passes
through (5,3).
Answer:
y = -3x + 18
Step-by-step explanation:
The slope intercept form of a line is expressed as y = mx+c
m is the slope
b is the intercept
Get the slope
Given the equation of a line 9x + 3y = 6
Rewrite
3y = -9x + 6
y = -9x/3 + 6/3
y = -3x + 2
Hence the slope of the line is -3
Get the y-intercept
Substitute m = -3 and (5,3) into y = mx+b
3 = -3(5) + b
3 = -15 + b
3 + 15 = b
18 = b
b = 18
Get the required equation
y = mx+b
y = -3x + 18
This gives the required equation
A package of screen protectors for an iPhone
are priced $12.99. What is the price of the screen
protectors after 6% sales tax?
Answer: $13.77
Step-by-step explanation:
To get the final price for the screen protectors, we have to calculate the value of the tax and add to the current price of the screen protector.
The sales tax will be:
= 6% × $12.99
= 6/100 × $12.99
= 0.06 × $12.99
= $0.7794
The price of the screen protector will now be:
= $12.99 + $0.7794
= $13.7694
= $13.77