[tex]\displaystyle\bf h(x)=-4x-7\Longrightarrow h(3)=-4\cdot3-7=-19\\\\Answer:\boxed{ h(3)=-19}[/tex]
Answer:
-19
Step-by-step explanation:
heyya, so if x = 3 you just replace the x in the calculation to 3:
-4 *3 -7
= -12 -7
= -19
The pie chart shows the information about the favourite ice creme flavour of each student in a schcool.There are 720 students at this school
Answer:
there would be many diffrent answers
Step-by-step explanation:
provide the full question, i can deduct that there are many ice cream flavors.
Do you think there’s sufficient evidence in the article to conclude that bright red leaves in the fall help protect the trees in the winter? Explain your answer.
From online research, the article is;
As days get shorter and colder in the autumn, chlorophyll molecules break down. Leaves quickly lose their green color. Some leaves begin to look yellow or orange because they still contain pigments called carotenoids. One such pigment, carotene, gives carrots their bright-orange color.
But red is special. This brilliant color appears only because the leaves of some plants, including maples, actually produce new pigments, called anthocyanins.
That’s a strange thing for a plant to do without a reason, says Bill Hoch of the University of Wisconsin in Madison. Why? Because it takes a lot of energy to make anthocyanins.
Why red?
To figure out the purpose of the red pigment, Hoch and his coworkers bred mutant plants that can’t make anthocyanins and compared them with plants that do make anthocyanins. They found that plants that can make red pigments continue to absorb nutrients from their leaves long after the mutant plants have stopped.
This study and others suggest that anthocyanins work like a sunscreen. When chlorophyll breaks down, a plant’s leaves become vulnerable to the sun’s harsh rays. By turning red, plants protect themselves from sun damage. They can continue to take nutrients out of their dying leaves. These reserves help the plants stay healthy through the winter.
The more anthocyanins a plant produces, the redder its leaves become. This explains why colors vary from year to year, and even from tree to tree. Stressful conditions, such as drought and disease, often make a season redder.
Now, Hoch is breeding plants for a new set of experiments. He wants to find out whether turning red helps plants survive cold weather.
“There’s a clear correlation between environments that get colder in the fall and the amount of red produced,” he says. “Red maples turn bright red in Wisconsin. In Florida, they don’t turn nearly as bright.”
More protection
Elsewhere, scientists are looking at anthocyanins in other ways. A recent study in Greece, for instance, found that as leaves grow redder, insects eat them less. On the basis of this observation, some scientists argue that red pigments defend a plant against bugs.
Leaves may turn red in the autumn to protect themselves from the sun’s ultraviolet rays.
J. Miller
Hoch rejects that theory, but Lee thinks that it might make sense. He points out that red leaves contain less nitrogen than green ones do. “It may actually be that insects avoid red leaves because they’re less nutritious,” Lee says.
However, “it’s pretty confusing at this point,” Lee admits. “People debate back and forth.”
To settle the debate, scientists will need to look at more species under more conditions, Lee says. So, he’s now researching leafy plants rather than trees. He’s especially interested in tropical plants, whose leaves turn red when they’re young rather than old.
Answer:
As seen in the Explanation, different people have given reasons why bright red leaves in the fall help protect the trees in the winter. Thus, there is sufficient evidence to conclude that bright red leaves in the fall help protect the trees in the winter.
Step-by-step explanation:
From the article, we can see that Hoch and his coworkers carried out an experiment on mutants and they discovered that plants that can make red pigments tend to continue absorbing nutrients from their leaves a long time after the mutant plants have stopped.
This study and other believe that plants make anthocyanins which acts as a kind of sunscreen to the plants. They also discovered that by the plants turning red, they protect themselves from sun damage
Also, we see that some scientists in Greece found out that as leaves grow redder, insects eat them less and they argued that red pigments defend a plant against bugs and as such Leaves may turn red in the autumn to protect themselves from the sun’s ultraviolet rays.
My Answer: One study said that anthocyanins are pigments that make leaves turn red. And some trees don’t absorb as many nutrients as trees with red leaves. That particular study focused on trees that don’t produce anthocyanins. So i believe there's some evidence, but not a definitive conclusion.
Edmentum Answer: There’s some evidence, but not a definitive conclusion. One study focused on trees that don’t produce anthocyanins. Anthocyanins are pigments that make leaves turn red. The study said that these trees don’t absorb as many nutrients as trees with red leaves.
Another study found that insects are generally not inclined to eat red leaves on trees. There seems to be a trend that suggests that red leaves are important for the trees’ survival in the fall. This trend needs to be validated by conducting more tests.
Step-by-step explanation:
Paraphrased
Hi can i please get help on this question
Find the volume of this sphere.
Round to the nearest tenth.
16 ft
Formulas for Spheres
[? ] ft
Enter
Answer:
2144
formula us v = 3/4 × pi × half of the diameter (radius)
225 students appeared at an examination. Among them, the ratio of the number of students who passed in the first and in the second division were 4.5. If 25 students passed in the third division and 29 students failed in the examination, find (i) the number of students who passed in the first and in the second division (ii) The ratio of the number of students who passed in the first second and in the third division.
(i) the number of students who passed in the first and in the second division
76+95=171 students
(ii) The ratio of the number of students who passed in the first second and in the third division.
RATIO is 4:5:(25/19) or 4:5: 1.3157894…….
225-29=196 (29students failed)
196-25=171. (Subtract 25 students from the 3rd division)
4x+5x= 171 (171 students from 1st and second division)
9x=171
X=19
4x19=76 5x19= 95 1.31578.....x19= 25
The first three steps in determining the solution set of the system of equations, y = –x2 – 2x + 8 and y = 2x + 11, algebraically are shown in the table.
Which represents the solution(s) of this system of equations?
(–3, –1)
(–3, 5)
(–3, 5) and (–1, 9)
(1, 13) and (3, 20)
Answer:
(–3, 5) and (–1, 9)
Step-by-step explanation:
if you just plug the numbers in they fit :)
The solution of the system of equations is (–3, 5) and (–1, 9).
What is the System of the equation?Inconsistent System
For a system of equations to have no real solution, the lines of the equations must be parallel to each other.
Consistent System
1. Dependent Consistent System
For a system of the equation to be a Dependent Consistent System, the system must have multiple solutions for which the lines of the equation must be coinciding.
2. Independent Consistent System
For a system of the equation to be an Independent Consistent System, the system must have one unique solution for which the lines of the equation must intersect at a particular.
The solution of a system of equations is the point where the line of the equations intersects, therefore, the solution of the system of equations is (–3, 5) and (–1, 9).
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4. Given the perimeter find the missing side.
Answer:
x^2 + 3x + 5
Step-by-step explanation:
sum of the two given side = 2x^3 + 3x^2 + 3x -2
missing side = 2x^3 + 4x^2 + 6x + 3 - 2x^3 - 3x^2 - 3x + 2 = x^2 + 3x + 5
Need help on this!!!!
Answer:
D
Step-by-step explanation:
First find h(3)
2(3)-2= 4
then find g(4)
4³-5= 59
What is the result of subtracting the second equation from the first?
-2x+y = 0
-7x+3y = 2
Answer:
-5x + 2y=2
Step-by-step explanation:
[tex]- 7x + 3y = 2 \\ - 2x + y = 0 \\ subtracting \: this.we \: have \\ ( - 7x \: + 3y - 2) - ( - 2x + y) \\ - 7x + 2x + 3y - y - 2 \\ - 5x + 2y - 2 \\ therefore \: we \: have \\ - 5x + 2y = 2[/tex]
Are the lines parallel, perpendicular, or neither?
y = 7x +3
y = 1/7x - 5
Answer:
Neither (Answer)
Step-by-step explanation:
Comparing both the equations with slope-intercept form (y = mx + c), where 'm' is the (slope/gradient) and and 'c' is the (y-intercept).
If slopes are equal then the lines are parallelIf the product of slopes is equal to '-1' then lines are perpendicularOtherwise, lines are intersecting (Neither)Note: If the slopes are equal as well as the y-intercepts then they are same lines (overlapping) i.e lines are scaler multiple of each other.
Slope of line 1 = m1 = 7
slope of line 2 = m2 = 1/7
neither the slopes are equal nor the their product is equal to '-1'
c) Which of these numbers is a square number?
A
4 x 105
B
9 x 104
С
4 x 103
D
9 x 103
pls help me don't know what to do
Answer:
x=15
Step-by-step explanation:
The 60 degree angle and the (x+45) degree angle are both the same degree because they are vertical angles.
So to solve, just subtract 45 from 60
60-45=15
That's your answer!
Hope this helps!
P and Q are points on the line 3y - 4x = 12
a Complete the coordinates of P and Q.
P(0, 1) Q(,0)
Answer:
Step-by-step explanation:
Since the coordinates of P are (0, 1), this makes P the y-intercept of that line. The y-intercept exists where x = 0. And in the coordinate (0, 1), x does in fact equal 0.
Since the one coordinate given in Q is (?, 0), this means that Q is the x-intercept of the line. The x-intercept exists where y = 0. And in the coordinate (?, 0), y does in fact equal 0. So in order to solve for the x coordinate of Q, we plug in a 0 for y and solve for x:
3(0) - 4x = 12 and
-4x = 12 so
x = -3
how do you know where to put the decimal point in problem 6?
6. 4 × 1.18
Answer:
just do 64 * 118 = 7552
count the decimal points in BOTH the items 1 for the 6.4
and 2 in the 1.18 1+2 = 3
so starting from the right move in "3" positions and
put a decimal point
7.552
Step-by-step explanation:
Can someone help with this
Find the measure of the indicated side
what is the proportion 4/y= 5/10
Answer:
So, y =8
Step-by-step explanation:
4/y = 5/10
or, 4*10 = 5*y
or, 40 = 5y
or, y = 40/5
therefore, y = 8
(a) A pentagon ABCDE has sides AE and CD parallel and the line EC
is parallel to side AB. Sides ED and BC, when extended, meet at a
point F. ZABC is equal to ZCDE. Show that ZAEC = ZCFD.
(b) If, furthermore, triangles EDC and DFC are both isosceles, with
ED = DC and DF = FC, find the angles of the pentagon.
(a) ∠AEC = ∠CFD, by transitive property of equality
(b) ∠CDE = 108°, ∠DCB = 108°, ∠ABC = 108°,∠EAB = 144°, ∠AED = 72°
The reason the above values are correct is as follows:
(a) The given parameters are;
Figure ABCDE is a pentagon
The sides AE is parallel to side CD
Line EC is parallel to side BC
The point of intersection of the extension off side ED and BC = Point F
∠ABC = ∠CDE
Required:
To show that ∠AEC = ∠CFD
Method:
Draw the pentagon ABCDE and include the added construction
Analyze the drawing
Solution:
∠ECF and ∠ABC are corresponding angles between parallel lines EC ║BC
∴ ∠ECF ≅ ∠ABC by corresponding angles formed by parallel lines are congruent
∠ECF = ∠ABC by definition of congruency
∠ABC = ∠CDE = ∠ECF by transitive property
∠ECD ≅ ∠AEC by alternate angles formed between parallel lines having a common transversal
∠ECD = ∠AEC by definition of congruency
∠ECF = ∠FCD + ∠ECD by angle addition postulate
∠CDE = ∠FCD + ∠CFD by exterior angle theorem
From ∠CDE = ∠ECF above, we have;
∠ECF = ∠FCD + ∠ECD = ∠FCD + ∠CFD
∴ ∠ECD = ∠CFD by addition property
∠ECD = ∠AEC, therefore;
∠AEC = ∠CFD, by transitive property
(b) Given that ΔEDC and ΔDFC are both isosceles triangles, with sides;
ED = DC, and DF = FC;
Let r represent ∠CFD, we have;
∠FCD = ∠CDF by base angles of isosceles triangle ΔDFC
∠ECD = ∠CED by base angles of isosceles triangle ΔEDC
∠AEG = ∠CDE by corresponding angles formed by parallel lines having a common transversal
∠AEC = ∠ECD by alternate angles
∴ ∠AEG + ∠AEC + ∠CED = 180° Sum of angles on a straight line
∠CDE = ∠CFD + ∠FCD
∠CDE + ∠CDF = 180° (linear pair angles)
∴ ∠AEG + ∠CDF = 180° by transitive property
∠AEC + ∠CED = ∠CDF by transitive property
∠AEC = ∠ECD = ∠CED = ∠CFD = r
∴ ∠CFD + ∠CFD = ∠CDF
2·r = ∠CDF
∠CDE = ∠FCD + ∠CFD
∠FCD = ∠CDF = 2·r
∴ ∠CDE = 2·r + r = 3·r
∠CDE = 3·r
The angles of the pentagon are;
∠CDE + ∠DCB + ∠ABC + ∠EAB + ∠AED = 540° sum of angles in a pentagon
∠DCB = 180° - ∠FCD
∠DCB = 180° - 2·r
∠ABC = ∠CDE = 3·r
∠EAB = ∠CEH corresponding angles
∠CEH = 180 - ∠AEC
∴ ∠EAB = 180° - ∠AEC
∴ ∠EAB = 180° - r
∠AED = ∠AEC + ∠CED = r + r = 2·r
∠AED = 2·r
Therefore, we have;
3·r + 180° - 2·r + 3·r + 180° - r + 2·r = 540°
5·r + 360° = 540°
r = (540° - 360°)/5 = 36°
r = 36°
∠CDE = 3 × 36° = 108°
∠DCB = 180° - 2×36° = 108°
∠ABC = 3 × 36° = 108°
∠EAB = 180° - 36° = 144°
∠AED = 2 × 36° = 72°
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razones y proporciones. un pelotero profesional ha bateado 14 imparables , en 40 turnos al bate . hallar la razón entre las veces que ha bateado de imparable y los turnos que ha tenido que batear.
Answer:
El pelotero ha bateado imparables en el 35% de sus intentos.
Step-by-step explanation:
Dado que un pelotero profesional ha bateado 14 imparables en 40 turnos al bate, para hallar la razón entre las veces que ha bateado imparables y los turnos que ha tenido que batear se debe realizar el siguiente cálculo:
14 / 40 = X
0.35 = X
0.35 x 100 = 35
Por lo tanto, el pelotero ha bateado imparables en el 35% de sus intentos.
what is the answer and how do you get the answer
Answer:
The answer is -10 or 1
Step-by-step explanation:
by doing multjoke for each and subtracting
whats the mean, median, mide and range of 4,6,3,1,9,0,5? please answer.
Answer:
mean=14
median =4
Range=3
Step-by-step explanation:
Mean = 4+6+3+1+9+0+5/2
=28/2
=14
Median = ( N+1/2 )th item
= ( 7+1 )/2
= 8/2
= 4
Range = largest no- lowest no
= 9-6
= 3
Solve the inequality.
–13.4 ≥ 6.7 + 4.3 + w
–24.4 ≥ w
24.4 ≥ w
23.4 ≥ w
–23.4 ≥ w
Answer:
-24.4 ≥ w
Step-by-step explanation:
-13.4 ≥ 6.7 + 4.3 + w
-13.4 - 6.7 - 4.3 ≥ w
-24.4 ≥ w
Solve for X (line a and b parallel)
Answer:
x=29°
Step-by-step explanation:
as lines are parallel.
external alternate angles are equal.
7x-86=4x+1
7x-4x=1+86
3x=87
x=87/3=29
The temperature of a chemical solution is originally 21^\circ\text{C}21 ∘ C21, degrees, start text, C, end text. A chemist heats the solution at a constant rate, and the temperature of the solution is 75^\circ\text{C}75 ∘ C75, degrees, start text, C, end text after 121212 minutes of heating. The temperature, TTT, of the solution in ^\circ\text{C} ∘ Cdegrees, start text, C, end text is a function of xxx, the heating time in minutes. Write the function's formula. T=
Answer:
T(x) = 21 + 4.5x
Step-by-step explanation:
Given :
Original temperature = 21°C
Final temperature = 75°C
Time, x = 12 minutes
The temperature, T as a function of x, heating time in minutes :
We need to obtain the constant heating rate per minute :
Final temperature = initial temperature + (constant rate change,△t * time)
75 = 21 + 12△t
75 - 21 = 12 △t
54 = 12 △t
△t = 54 / 12
△t = 4.5°C
Hence, temperature change is 4.5°C per minute.
Hence,
T(x) = 21 + 4.5x
Answer:
T= 21+4.5x
Step-by-step explanation:
I got it right on Khan Academy
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please help....Which fraction has the greatest value?
Answer:
5/6
Step-by-step explanation:
Answer:
5/6
Step-by-step explanation:
Any negative number couldn't count as more than a positive. 5 is more than 1, so the correct answer has to be 5/6.
Rewrite the equation by completing the square.
Answer:
4(x - [tex]\frac{1}{2}[/tex] )² = 0
Step-by-step explanation:
Given
4x² - 4x + 1 = 0 ( factor out 4 from the first 2 terms )
4(x² - x) + 1 = 0
To complete the square
add/subtract ( half the coefficient of the x- term)² to x² - x
4(x² + 2(- [tex]\frac{1}{2}[/tex] )x + [tex]\frac{1}{4}[/tex] - [tex]\frac{1}{4}[/tex] ) + 1 = 0
4(x - [tex]\frac{1}{2}[/tex] )² - 1 + 1 = 0
4(x - [tex]\frac{1}{2}[/tex] )² = 0
write additive inverse of a) 21/18 b) -2/8
Answer:
a) [tex]-\frac{21}{18}[/tex], b) [tex]\frac{2}{8}[/tex].
Step-by-step explanation:
Let be [tex]u[/tex] a real number, its additive inverse is a real number [tex]v[/tex] so that:
[tex]u+v = 0[/tex]
That is,
[tex]v = - u[/tex] (1)
Then, the additive inverses of [tex]\frac{21}{18}[/tex] and [tex]-\frac{2}{8}[/tex] are, respectively:
a) [tex]-\frac{21}{18}[/tex], b) [tex]\frac{2}{8}[/tex].
Match each angle pair with their relationship
Answer:
oh I thought you were talk about love well dang :(
Step-by-step explanation:
At a maximum height (1.20 m) E = _____ PE = _____ KE =_____ h = 1.20 m v = 0 m/s m = 0.620 kg g = 9.81 m/s2
pahelp naman po :<
Answer:
E = 7.30 J
PE = 7.30 J
KE = 0
Step-by-step explanation:
Given;
maximum height, h = 1.2 m
mass of the object, m = 0.62 kg
velocity, v = 0 m/s
acceleration due to gravity, g = 9.81 m/s²
To determine;
total energy, E =?Potential energy, PE =?Kinetic energy, KE =?The potential energy, PE = mgh
PE = 0.62 x 9.81 x 1.2
PE = 7.30 J
The kinetic energy, KE = ¹/₂mv²
KE = ¹/₂ x 0.62 x 0
KE = 0
The total mechanical energy, E = PE + KE
E = 7.30 J + 0
E = 7.30 J
Could anyone help me solve for x? I've tried multiple times and can't seem to get the answer that was given
Step-by-step explanation:
Try Photo-math app or Math-way app.
At the city museum, child admission is 6.30 and adult admission is 9.50. On Saturday, three times as many adult tickets as child tickets were sold for total sales of $1113.60 . How many child tickets were sold that day?
Answer:
15child tickets
Step-by-step explanation:
$113.60÷4=28.4
28.4×3=85.2
113.60-85.2=100:6.3=15