Answer:
2
Step-by-step explanation:
(3 + √7)(3 - √7)
3(3 - √7) + √7(3 - √7)
9 - 3√7 + 3√7 - √49
9 - 7 = 2
I hope this helps!
Recently, the National Safety Council collected data on the leading causes of accidental death. The findings revealed that for people age 20, 30 died from a fall, 47 from fire, 200 from drowning, and 1950 from motor vehicle accidents. What percent of the accidental deaths were not attributed to motor vehicle accidents? Round to the nearest percent.
Answer: 10.193
Step-by-step explanation:
A. 1620
B. 247.50
C. 234
Answer:
C
Step-by-step explanation:
use Pythagorean theorem to get the missing side of the triangle as 12.
Find the area of the triangle and add ot to the area of the rectangle...so (9)(12)/2=54 for area of triangle + area of rectangle is (15)(12)=180. so 54 + 180 = 234
Let f(x)=x2−4 and g(x)=7−x. Perform the composition or operation indicated.
(fg)(8)
Answer:
[tex](f\circ g)(8)=-3[/tex]
Step-by-step explanation:
Composite Function
Given f(x) and g(x) real functions, the composite function named [tex](f\circ g)(x)[/tex] is defined as:
[tex](f\circ g)(x)=f(g(x))[/tex]
For practical purposes, it can be found by substituting g into f.
The functions are defined as follows:
[tex]f(x)=x^2-4[/tex]
[tex]g(x)=7-x[/tex]
To find [tex](f\circ g)(8)[/tex], we evaluate g in x=8 and then apply the composition formula.
[tex]g(8)=7-8=-1[/tex]
[tex](f\circ g)(8)=f(g(8))[/tex]
[tex](f\circ g)(8)=f(-1)[/tex]
[tex](f\circ g)(8)=(-1)^2-4=1-4[/tex]
[tex]\boxed{(f\circ g)(8)=-3}[/tex]
PLZZZZZZZZZZ HELP ME ILL MAKE YOU BEANLIEST ANSWER PLLZZZZZ THANK YOUUUU!!!!!!!
Due to manufacturing error, three cans of regular soda were accidentally filled with diet soda and placed in a 12-pack. Suppose that two cans are randomly selected from the 12-pack: a) Determine the probability that both contain diet soda. b) Determine the probability that exactly one is diet
Answer:
a) 2/44 = 0.045
b) 9/22 = 0.409
Step-by-step explanation:
a) The probability the first can is diet soda is 3/12.
The probability the second can is diet soda is 2/11.
The probability of both is (3/12) (2/11) = 2/44 ≈ 0.045.
Alternatively, you can use combinations:
₃C₂ × ₉C₀ / (₁₂C₂) = 2/44
b) If the first can is diet soda, and the second can isn't, the probability is (3/12) (9/11) = 9/44.
If the first can isn't diet soda, and the second can is, the probability is (9/12) (3/11) = 9/44.
The total probability is 9/44 + 9/44 = 9/22 ≈ 0.409.
Alternatively, using combinations:
₃C₁ × ₉C₁ / (₁₂C₂) = 9/22
60 PTS!! We often use functions to model or represent situations and relationships. These
representations can be as equations, graphs, tables, or even verbal descriptions.
What does it mean to "represent" something? In what other situations have you heard that term used, and how was its meaning in those situations similar to its usage in
algebra?
Answer:
one variabk depends on another variable to help
A function is a relation between two sets of variables such that one variable depends on another variable. We can represent different types of functions in different ways. Usually, functions are represented using formulas or graphs. There are four ways for the representation of a function
Algebraically= mathematical model
Numerically=table of values or chart
Visually=continuous graph or scooter plot
Verbally=Word description
Step-by-step explanation:
a) Work out the value of angle x.
O
X =
b) Give reasons for your answer.
I need help with questions B guys please.
I tried many reasons but it is not working
answer:
the total angle of a triangle is 180°
since all of the sides of the triangle are even, then it means that all the angles are also equal
180 divided by 3 (because theres 3 angles) = 60
since one of the interior angle of the triangle is 60, the congruent angle of x also equals to 60° and also 60+60+60=180 (straight line)
i made a little diagram above for you, i hope it helps you and goodluck!! :)
The value of angle x is 60° in the triangle.
What is triangle?Triangle is defined as the polygons of the three-sided and three-sided variety. The fundamental equation for a triangle's area is A = 1/2 b h, where b and h are the product of the triangle's base and height. All triangle shapes, including scalene, isosceles, and equilateral triangles, can be calculated using this formula.
The exterior angle of a triangle is equal to the sum of the interior angles at the other two vertices, and angle x is one of the triangle's exterior angles.
Given that all three angles in a triangle are equal and all three sides of the triangle are even, the total angle of the triangle is 180°.
Since one of the interior angles of the triangle is 60°, the congruent angle of x is also 60°, therefore 60+60+60=180. (straight line).
So, the value of x is 60°
Thus, the value of angle x is 60° in the triangle.
To learn more about triangle, refer to the link below:
https://brainly.com/question/2773823
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Find the quotient of 2 7/8 and 3 5/6
Answer:
[tex]\frac{3}{4}[/tex]
Step-by-step explanation:
Given the following question:
[tex]2\frac{7}{8} \div3\frac{5}{6}[/tex]
To find the answer we need to convert the mixed numbers into improper fractions, then we apply KCF (Keep, Change, Flip) to the equation and then we solve.
[tex]2\frac{7}{8} \div3\frac{5}{6}[/tex]
[tex]2\frac{7}{8} =8\times2=16+7=23=\frac{23}{8}[/tex]
[tex]3\frac{5}{6} =6\times3=18+5=23=\frac{23}{6}[/tex]
[tex]\frac{28}{8} \div\frac{23}{6}[/tex]
Apply KCF:
[tex]\frac{28}{8} \div\frac{23}{6}[/tex]
[tex]\frac{28}{8} \times\frac{6}{23}[/tex]
[tex]28\times6=168[/tex]
[tex]8\times23=184[/tex]
[tex]=\frac{168}{184}[/tex]
Simplify by reducing:
[tex]\frac{168}{184}[/tex]
[tex]=\frac{168}{184}\div46=\frac{3}{4}[/tex]
[tex]=\frac{3}{4}[/tex]
Your answer is "3/4."
Hope this helps.
Please help me this is really confusing
Answer:
$4,637.50
Step-by-step explanation:
I need to figure this out for a quiz in APEX. I can get the rest if I understand how to do this one.
Answer:
the answer is b
Step-by-step explanation
1 1/2 - 2/3 ÷ 4 2/5 × 3/4
Answer:
145/36
Step-by-step explanation:
(29/6) / (6/5) = 145/36
Answer:
29/6÷ 4(3/10)
145/36
Step-by-step explanation:
Please do this word document and attach it after your done.
Answer:
See below.
Step-by-step explanation:
1) E and S
2) Pentagon
3) No, No, Yes
4) Infinite
5)
a. 4, 90°
b. 4 plates
c. Yes, see attachment.
My apologies if the picture isn't very neat/clear.
Step-by-step explanation:
[tex]1) \: e \: and \: s \\ 2) \: pentagon \\ 3) \: no \: no \: yes \\ 4)infinite \\ 5)4 \: \: \: \: \: . \: 90 \\ b) \: uplates \\ c) \: yes \: see \: attachment[/tex]
# Jerry Don is here#
The slope field for a differential equation is shown in the figure. Determine the general solution of this equation.
100 POINTS
slope field with positive slopes in quadrant 1 and 4, negative slopes in quadrants 2 and 3, horizontal slopes along the y axis
y=Cx2
x=Cy2
x2 – y2 = C2
x2 + y2 = C2
Answer:
[tex]y=Cx^2[/tex]
Step-by-step explanation:
Clearly, [tex]\frac{dy}{dx}[/tex] is a function of x, so we can eliminate the second option.
The slope field does not resemble a circle nor hyperbola, so we can eliminate the last two options.
This leaves us with [tex]y=Cx^2[/tex] as our general solution.
Slove for x
Show all work
Answer: 20
Step-by-step explanation:
Answer:
x=20
Step-by-step explanation:
[tex]x^2=8(8+42)\\\\x^2=8*50\\\\x=20[/tex]
~
A boat heading out to sea starts out at Point A, at a horizontal distance
of 1390 feet from a lighthouse/the shore. From that point, the boat's
crew measures the angle of elevation to the lighthouse's beacon-light
from that point to be 7º. At some later time, the crew measures the
angle of elevation from point B to be 4°. Find the distance from point
A to point B. Round your answer to the nearest foot if necessary.
Step-by-step explanation:
I assume the boat is going straight out on the same horizontal line.
we have 2 right-angled triangles.
at point A
there is the ground distance from A to the lighthouse. which is 1390 ft.
then there is the height of the lighthouse.
and the line of sight from A to the lighthouse light.
the angle at A is 7°.
the angle at the bottom of the lighthouse is 90°.
therefore, the angle at the lighthouse light = 180 - 90 - 7 = 83°.
at point B
the ground distance from B to the lighthouse.
the height of the lighthouse again.
and the line of sight of B to the lighthouse light.
the angle at B = 4°.
the angle at the lighthouse bottom is again 90°.
therefore, the Angie at the lighthouse light is 180 - 90 - 4 = 86°.
we need the law of sine to solve this and find the missing side lengths.
a/sin(A) = b/sin(B) = c/sin(C)
with the sides and the correlated angles being opposite.
the first we need to do is finding the height of the lighthouse via triangle A, so that we can use it then also in triangle B.
1390/sin(83) = height/sin(7)
lighthouse height = 1390×sin(7)/sin(83) = 170.6705397... ft
now, we can use that in triangle B to get the ground distance to the lighthouse :
height/sin(4) = ground distance/sin(86)
ground distance = height×sin(86)/sin(4) =
= 2,440.702427... ft
the distance from A to B is the difference between that ground distance and the original distance of 1390 ft :
2,440.702427... - 1390 = 1,050.702427... ft ≈
≈ 1,051 ft
In your biology class, your final grade is based on several things: a lab score, scores on two major tests, and your score on the final exam. There are 100 points available for each score. However, the lab score is worth 23% of your total grade, each major test is worth 22.5%, and the final exam is worth 32%. Compute the weighted average for the following scores: 85 on the lab, 95 on the first major test, 91 on the second major test, and 76 on the final exam. (Enter your answer to one decimal place.)
Answer:
The weighted average for the following score is [tex]W = 85.72[/tex]
Step-by-step explanation:
From the question we are told that
The worth of the lab score is 23% of total grade i.e 0.23
The worth of each major test is 22.5% of the total grade 0.225
The worth of the final exam is 32% of the total grade 0.32
The score on lab is 85
The score on first major test is 95
The score on the second major test is 91
The score on the final exam is 76
Generally the weighted average is mathematically represented as
[tex]W = [0.23 * 85 ]+ [0.225 * 95] + [0.225 * 91 ]+ [0.32 *76 ][/tex]
=> [tex]W = 85.72[/tex]
pls help me
Question 2 Part C (5 points): Mrs. Hinson is replacing her rectangular driveway with pavers. The area of her driveway is 64m² - 9n² square units. Mrs. Hinson needs to find the dimensions of her driveway so she knows how many pavers to buy.
Help Mrs. Hinson by factoring the area completely. To receive full credit, you must show all work.
WORK:
ANSWER: The dimensions are...
Let's factor out
[tex]\\ \rm\Rrightarrow 64m^2-9n^2[/tex]
[tex]\\ \rm\Rrightarrow (8m)^2-(3n)^2[/tex]
[tex]\\ \rm\Rrightarrow (8m-3n)(8m+3n)[/tex]
Done
Length=8m-3nBreadth=8m+3n1
Caleb finishes breakfast at 7:15 AM. Tell
what time he started breakfast if it took
the given number of minutes.
a. 10 minutes
b. 15 minutes
C. 20 minutes
d. 25 minutes
e. 26 minutes
Answer:
a. 7:05 am
b. 7:00 am
c. 6:55 am
d. 6:50 am
e. 6:49 am
Easy:
On Tuesday, the school cafeteria served 973 lunches.
Round the number of lunches to the nearest hundred
Answer: 1000
Step-by-step explanation: since the number next to it is a seven and seven is closer to ten and ten is the first two digits of the answer. The answer is 1000.
Round the integer number 973 nearest hundred will be 1000.
What is the rounding of a number?The action of forming anything into a circle. Mathematics. the act of substituting a number with one that is roughly equivalent in value but has fewer digits: To the closest dollar, rounding $27.68 results in $28. a comparable procedure that identifies one of several rules.
The integer is given below.
⇒ 973
Round the number 973 nearest hundred.
If the tens place is more than 5, then the hundred places will be increased by one.
In the tens place is 7, then the number 9 is increased by one that is 10.
Round the integer number 973 nearest hundred will be 1000.
More about the rounding of a number link is given below.
https://brainly.com/question/19031319
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write an equation of the line below
Answer:
y = 3/5 + 4
Step-by-step explanation:
Given Coordiantes:
(0,4) - Y-intercept
(5,7) - Coordinates
To make an equation, first find the slope.
[tex]m=\frac{rise}{run} =\frac{y}{x}[/tex]
[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
[tex]m=\frac{7-4}{5-0}[/tex]
[tex]m=\frac{3}{5}[/tex]
In decimals:
[tex]m = 0.6[/tex]
Now convert to point slope.
[tex]y-y_{1} =m(x-x_{1} )[/tex]
[tex]y-4=\frac{3}{5} (x-0)[/tex]
In decimals:
[tex]y-4=0.6(x-0)[/tex]
Now convert to slope-intercept form.
Find the Equation of the Line:
[tex]y=mx+b[/tex]
by solving for y using the Point Slope Equation.
y = 3/5 + 4
In the five sixth grade classrooms there are 26,29,31,33,36 what is their average mean number
Answer:
the answer you're looking for is 31
WHAT I KNOW
CAN YOU DO THIS? LET'S HAVE A GUESSING GAME ON POLYGONS.
__________1. I AM A POLYGON WITH FOUR EQUAL SIDES AND 4 RIGHT CORNERS. WHAT AM I?
__________2.I HAVE THREE SIDES AND THREE ANGLES. WHAT AM I?
__________3. I HAVE TWO PAIRS OF PARALLEL SIDES AND FOUR RIGHT ANGLES. WHAT SHAPE AM I?
__________4. I AM A POLYGON WITH 4 SIDES AND ONE PAIR OF WHICH IS PARALLEL. WHAT AM I?
__________5. I HAVE TWO OF OPPOSITE SIDES WHICH ARE PARALLEL. WHAT AM I?
PLS ANSWER
Answer:
1. Square
A square has 4 side of equal lengths, and all right angles.
2. Triangle
A triangle has 3 sides and 3 angles. It could either be an isosceles, equilateral or obtuse triangle.
3. Rectangle
A rectangle has 4 sides. 2 are parallel and the other 2 are parallel. All angles are 90 degrees.
4. Trapezoid
This shape has 4 sides. Only 1 pair of sides is parallel. The other 2 sides are not parallel
5. Parallelogram
It has 4 sides, and both pair of opposite sides are parallel.
Find the distance between 4 2/3 and −5 1/3 on a number line. Write your answer in the simplest form.
Answer:
3/25
Step-by-step explanation:
Joan’s finishing time for the Bolder Boulder 10K race was 1.83 standard deviations faster than the women’s average for her age group. There were 375 women who ran in her age group. Assuming a normal distribution, how many women ran faster than Joan?
By using normal Distribution we found 15 women ran faster than Joan
What is Standard Deviation?The average amount of variability in our data set is known as Standard Deviation.
A Z-score is a numerical measurement that describes a value's relationship to the mean of a group of values.
standard deviations from the mean is used to measure Z-score
If data point's score is identical to the mean score then the z score will be zero
Standard deviations a score X is above or below the mean measures z-score measures
From z- table we find the p values respectively.
By given , Joan’s finishing time for the Bolder Boulder 10K race was 1.83 standard deviations faster than the women’s average for her age group.
So, Z - score = 1.83
From z - table,
If Z =1.83 , then p-value is 0.9591.
It means that Joan was faster than 95.91% of the participants and slower than 100-95.91 = 4.09% of the participants.
Since, There were 375 women who ran in her age group.
we computed that, 4.09% faster than Joan
Number of women run faster than Joan is, = 375/100*4.09= , nearly = 15
Thus, 15 women ran faster than Joan.
To learn more on Standard Deviation click:
https://brainly.com/question/16555520
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HELP ASAP PLEASE!!
Does this image show an enlargement or a reduction?
An equilateral triangle with a side length of 3.4. An arrow points to a smaller equilateral triangle with a side length of 1.7
Enter your answer in the first Blank.
What scale factor was used?
Answer:
the image shows reduction
Step-by-step explanation:
1.7
Answer:
0.5
Step-by-step explanation:
First divide 1.7 to 3.4 and then you get your answer
Hope this helps :)
when your cousin was born, she was 21 4/5 inches long. when your friends was born he was 21 3/4 inches long. who was longer at birth? how much longer?
Answer:
The cousin would be longer.
Step-by-step explanation:
4/5 = .8, and 3/4= .75, making the cousin longer at birth.
1 There are 10 girls and 5 boys in a class
What is the ratio of the number of girls to the number of boys?
What is the ratio of the number of boys to the number of girls?
Ratios are written as fractions:
The ratio of girls to boys would be girls / boys = 10/5 which can be reduces to 2/1
The ratio of boys to girls would be boys / girls = 5/10 which can be reduced to 1/2
At first, Brianna earned a score of 90 on the quiz. She discovered that 4 had been taken off by mistake. Brianna showed the teacher, removed the 4-points deduction. Which two quiz scores could be used to find Briannas new quiz score
Answer:
90 - ( -4 ) and 90 + 4
Step-by-step explanation:
I got it correct on the test :)
I need help please please
Answer:
A
Step-by-step explanation:
Rotates and then translates 7 to the left.
who giving that Ash Kashhh on this app I need it
Answer:
BRUHHHH IM WEAK
Step-by-step explanation:
no one is giving ash kash on here
Answer:
You get points by ansewing others questions on the app. The points are given to you through the app, the points are not real money. A user asking a question can choose how much points to give any one who answers their question.
Step-by-step explanation:
HOPE THIS HELPS!!!!!!!