Answer:
The distance of the run was 27 miles and the distance of the bicycle race was 88 miles.
Step-by-step explanation:
Since I have entered 115-mile biathlon that consists of a run and a bicycle race, and during my run, my average velocity is 9 miles per hour, and during my bicycle race, my average velocity is 22 miles per hour , and I finish the race in 7 hours, to determine what is the distance of the run and what is the distance of the bicycle race, the following calculations must be performed:
7 x 22 + 0 x 9 = 154
5 x 22 + 2 x 9 = 128
4 x 22 + 3 x 9 = 115
Therefore, the distance of the run was 27 miles and the distance of the bicycle race was 88 miles.
If f(x) = 2x² - 4x and g(x) = 5 - 2x, evaluate fx) - g(x) for x = 5.
A 15
B 5
C 35
D. 20
ET
Answer:
35
Step-by-step explanation:
2x² - 4x- (5 - 2x)
2x² - 4x - 5 + 2x
2x²-2x - 5 = f(x) - g(x)
Now use 5
[tex]2 ({5}^{2} ) - 2(5) - 5 \\ = 35[/tex]
Angles D and G are complementary. What statement must always be true about angles D and G?
Answer:
They will never intersect. I'm pretty sure that is right
What is 5x + 7 > 37 I am really stuck
Answer:
x > 6
Step-by-step explanation:
Problem: 5x + 7 > 37
Subtract 7 from both sides: 5x > 30
Divide both sides by 5: x > 6
Answer: x > 6
Which line is perpendicular to a line that has a slope of 1 half
Answer:
-2
Step-by-step explanation:
1/2 slope
flip fraction 2/1
change sign -2/1 or -2
The man brought three buses for 9694820. One bus cost Rs352750
another us cost Rs 3029870. Find the cost of third bus.
Answer:
Cost of 3 buses = 9694820
cost of 1 bus=352750
cost of another bus=3029870
cost of the third bus= 9694820-(352750+3029870)=6312200
45 is what percent of 82
what percent of 5 is 26
Round each answer to the nearest TENTH!
HELP FINALS TODAY :(
Answer:
45 is 54.9 percent of 82.
26 is 520% of 5.
Answer:
45 is 55% of 82 and 520% of 5 is 26.
Step-by-step explanation:
First you want to set up a proportion, using the is over of formula (Is/of= %/100). In the first problem, 45 will be the is, 82 will be the of, for % will be the x, and 100 will go on the bottom (it will look something like this: 45/82=x/100). When you solve it, you get around 55 (45x100/82.) Same thing for the next equation, use the same formula (is/of=%/100) which turns into: 5/26= x/100 and you get 520%.
Find Q
A. 40
B. 80
C. 130
D. 260
Answer:
The answer is C!!!!!!!!
What is the total surface area of a cylinder with a radius of 9ft and a height of 13ft?
Answer:
753.6 ft^2
Step-by-step explanation:
given:
radius=9 ft
height=13 ft
total surface area of cylinder=2πrh+2πr2
=2*3.14*9*13 + 2*3.14*(9)^2
=244.92 + 2*3.14*81
=244.92 + 508.68
=753.6 ft^2
Answer:
753.6 ft|2
Step-by-step explanation:
thanks correct me if you want.
Explain the rule that governs the pronunciation of the word stick
Answer:
Es una triste noticia que se involucre a las lenguas en peleas políticas coyunturales, sobre todo cuando el debate deriva hacia una estrategia de crispación que exige el falseamiento de la realidad, las ofensas y las manipulaciones. Las lenguas maternas forman parte de la identidad, de la raíz más profunda de sus hablantes, y ofenderlas o someterlas a coyunturas crea heridas íntimas. Confieso que siento una inmediata antipatía ante cualquier persona, política o no, que desprecia la manera que tenemos los andaluces de pronunciar el español. Es la manera en la que yo aprendí a relacionarme con la vida.
Step-by-step explanation:
Which of the question below could be the equation of this parabola ?
A) x=-4x^2
B) y=4x^2
C) x=4y^2
D) y=-4x^2
An angle in standard position measures
radians.
8
In which quadrant does the terminal side of this angle lie?
Answer:
The angle is in the third quadrant
The height of a triangle is 2 m more than twice the length of the base. The area of the triangle is 30 m2. Find the height of the
triangle.
Answer:
Step-by-step explanation:
Let x be the height ..... then the base = 2x + 2
So we have
Area = (1/2) (base) (height)
20 = (1/2)(2x + 2)(x) simplify
20 = x (x + 1)
20 = x^2 + x subtract 20 from both sides
x^2 + x - 20 = 0 factor
(x + 5) ( x - 4) = 0
Only the second factor makes sense
x - 4 = 0 add 4 to both sides
x = 4 ft and this is the height
And the base = 2(4) + 2 = 10 ft
2
Draw all the lines of symmetry on a diagram of a regular:
a
hexagon
b
heptagon
с
Octagon
Answer:
hi ahmm.i want to say that it is to draw I thought it is a question but it is actually to draw so u should draw this all shapes
Determine where the function is increasing, decreasing, and constant.
Answer:
X y better because it has X and Y is no no
1:prove that the tangent at the point (1,-2) to the circle x²+y²=5 also touches the circle x²+y²-8x+6y+20=0 .Also find the point of contact.
2:find the length of tangent to the circle
3x²+3y²-7x-6y=12 drawn from (6,-7)
Circle 1 has center at (0, 0)
The tangent passes through the center and point (1, -2).
Equation of tangent at (1, -2):
x*1 + y*(-2) = 5x - 2y = 5x = 2y + 5If the same line is tangent to circle 2 then they have one common point.
Solve the system:
x = 2y + 5x² + y² - 8x + 6y + 20 = 0Substitute x:
(2y + 5)² + y² - 8(2y + 5) + 6y + 20 = 04y² + 20y + 25 - 16y - 40 + 6y + 20 = 05y² + 10y + 5 = 0y² + 2y + 1 = 0(y + 1)² = 0y + 1 = 0y = -1 ⇒ x = 2(-1) + 5 = -2 + 5 = 3We see only one point of contact, (3, -1), this proves the line is tangent to circle 2 as well.
#2Given circle:
3x² + 3y² - 7x - 6y = 12 and external point (6, -7).Rewrite the equation of the circle as:
3x² + 3y² - 7x - 6y = 12x² + y² - 7/3x - 2y = 4x² - 2*7/6x + 49/36 + y² - 2y + 1 = 4 + 49/36 + 1(x - 7/6)² + (y - 1)² = 229/36The center is (7/6, 1) the radius is √229/36
The length of the tangent t is the leg of the right triangle with another leg r being the radius and the hypotenuse d being the distance between the center and the external point:
t² = d² - r²t² = (6 - 7/6)² + (-7 - 1)² - 229/36t² = 36 - 14 + 49/36 + 64 - 229/36t² = 86 - 180/36t² = 81t = 9For brainlest pls ..
Answer:
A = 39 ft²
Step-by-step explanation:
The area (A) of a trapezium is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
where h is the perpendicular height and b₁, b₂ the parallel bases
Here h = 6, b₁ = 9, b₂ = 4 , then
A = [tex]\frac{1}{2}[/tex] × 6 × (9 + 4) = 3 × 13 = 39 ft²
i need help, this is for a final
Step-by-step explanation:
Since the two triangles are similar
Then the ratio of sides are equal
Then MK:ML =JH:JI
Sub in this and you will get x =64.1
35_56×34
help pls
I need it
Answer:
_1869
Step-by-step explanation:
step by step
35-56 × 34
Multiply 56 and 34 to get 1904.
Subtract 1904 from 35 to get -1869.
= -1869
I
Answer:
1904 IS THE ANSWER YOU CAN CHECK THIS EQUATION IN YOUR MOBILE'S CALCATOR
If g(x)=x2 - 5 and 1(x)=7x-11, then what is the value of h(g(3)) ?
Answer:
The value of h(g(3)) is 17.
Step-by-step explanation:
We are given these following functions:
[tex]g(x) = x^2 - 5[/tex]
[tex]h(x) = 7x - 11[/tex]
h(g(3)) ?
[tex]h(g(x)) = h(x^2-5) = 7(x^2-5) - 11 = 7x^2 - 35 - 11 = 7x^2 - 46[/tex]
At x = 3
[tex]h(g(3)) = 7(3)^2 - 46 = 63 - 46 = 17[/tex].
The value of h(g(3)) is 17.
The following tables each show the amount of money, in dollars, in four different bank accounts over time.
Which table best represents an exponential relationship?
A.
Years 1 2 3 4 5
Account Balance 1100.00 1350.00 1600.00 1850.00 2100.00
B.
Years 1 2 3 4 5
Account Balance 1100.00 1210.25 1320.50 1430.75 1541.00
C.
Years 1 2 3 4 5
Account Balance 1100.00 1190.00 1340.00 1550.00 1820.00
D.
Years 1 2 3 4 5
Account Balance 1100.00 1210.00 1331.00 1464.10 1610.51
Answer:
C
Step-by-step explanation:
it is not my percentage, it is not constant, it is increasing over time
can you guys help me measure x
Step-by-step explanation:
everything can be found in the picture
Answer:
x = 102
Step-by-step explanation:
The angles form a straight line
Angles that form a straight line add up to equal 180
Hence, x + 78 = 180
Subtract both sides by 78
180 - 78 = 102
78 - 78 cancels out
Were left with x = 102
find the volume of the rectangular prism with the length 9 cm, width 6 cm, and height 8cm
Answer:
[tex] \large{ \tt{❃ \: EXPLANATION}} : [/tex]
We're provided - Length , width & height of the rectangular prism are 9 cm , 6 cm & 8 cm respectively & we're asked to find out the volume of the rectangular prism. Remember : The formula to find the volume of the rectangular prism is l × w × h where l is length , w is width & h is height of the rectangular prism.[tex] \large{ \tt{❁ \: SOLUTION}} : [/tex]
[tex] \boxed{ \tt{☂ \: VOLUME \: OF \: RECTANGULAR \: PRISM = l \times b \times h}}[/tex]
[tex] \large{ \tt{⟶ \: 9 \: cm \: \times \: 6 \: cm \: \times \: 8 \: cm}}[/tex]
[tex] \large{ \boxed{ \tt{⟶ \: 432 \: {cm}^{3} }}}[/tex]
[tex] \large{ \boxed{ \boxed{ \tt{↝OUR \: FINAL \: ANSWER : \boxed{ \tt{432 \: {cm}^{3}}}}}}} [/tex]
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
please i need help!!!!!!!
m∠NPQ=2×m∠NRQ
or m∠NRQ=1/2×m∠NPQ
=1/2×90
= 45
m∠NRQ=45
-----------------------hope it helps...have a great day!!The average height of BYU freshman from a random sample of 450 freshman at BYU is 68 inches with a standard deviation of 1.5 inches. What is the 98% confidence interval for the average height of BYU freshman?
a. (59.86, 60.14)
b. (67.83, 68.17)
c. (66.5. 69.5)
d. (67.86, 68.14)
Answer:
b. (67.83, 68.17)
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.98}{2} = 0.01[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.01 = 0.99[/tex], so Z = 2.327.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 2.327\frac{1.5}{\sqrt{450}} = 0.17[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 68 - 0.17 = 67.83.
The upper end of the interval is the sample mean added to M. So it is 68 + 0.17 = 68.17.
This means that the correct answer is given by option B.
One of the solutions to x2 − 2x − 15 = 0 is x = −3. What is the other solution?
x = −5
x = −1
x = 1
x = 5
Answer: x = 5
Step-by-step explanation:
x² - 2x - 15 = 0
x² + 3x - 5x - 15 = 0
x(x + 3) - 5(x + 3) = 0
Therefore, x + 3 = 0
x = 0 - 3 = -3
Also, x - 5 = 0
x = 0 + 5 = 5
Therefore, the solutions to x² - 2x - 15 = 0 is x = -3 and x = 5. Therefore, the correct option is D.
537 miles in 30 hours
What is the base of the expression (Eleven to the power of 12)? 3 11 12 21
Answer: 11
Step-by-step explanation:
when the question asks you what is the BASE of the EXPRESSION it means that the base is always the BIGGER number which is 11 and the power which is ALWAYS ON THE TOP RIGHT which is 12
hope that helps
What is an equation of the line that passes through the points (-2, 3) and (6, -1)?
Answer:
y = (-1/2)×X + 2
Step-by-step explanation:
the steps are in the pic above.
34/4 as mixed fraction?
Answer:
8/24
Step-by-step explanation:
Answer:
Mixed fraction: 8 1/2
Step-by-step explanation:
34/4
Divide 34/4 = 8.5
.5 = 1/2
Mixed number form: 8 1/2
Evaluate given function. Pleas helpp
Answer:
[tex]f(9) =-80[/tex]
Step-by-step explanation:
Given
The attached functions
Required
Find f(9)
We have:
[tex]f(x) =-x^2 - 2x + 19[/tex]
So:
[tex]f(9) =-9^2 - 2*9 + 19[/tex]
[tex]f(9) =-81 - 18 + 19[/tex]
[tex]f(9) =-80[/tex]