In a class of 30 pupils, if 16 are males. Calculate the ratio of females : total
Dan invests £13000 into his bank account. He receives 4,7% per year simple interest. How much will Dan have after 6 years? Give your answer to the nearest penny where appropriate,
Simple interest formula:
Total = start value x (1 + (rate x time))
Total = 13,000 x (1 + (0.047 x 6))
Total = 13000 x 1.282
Total = £16,666
F(x)=2x^2+16x-7 in vertex form
f(x) = 2 ( x² + 8x ) - 7
= 2 [(x + 4)² - 4²] - 7
= 2 (x + 4)² - 32 - 7
= 2 (x + 4)² - 39
(x+4)² = x² + 2*x*4 + 4² = x² + 8x + 4²
it's why
x² + 8x = (x + 4)² - 4²
Answer:
y=2(x+4)^2−39
Step-by-step explanation:
Based on my calculation that´s the answer :-)
what is the slope of a line perpendicular to the line whose equation is x+y=-1
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
6x + 4y = 8
Answer:
[tex]y=-\frac{3}{2}+2[/tex]
Step-by-step explanation:
First subtract 6 from both sides:
[tex]6x+4y=8[/tex]
-6 -6
New equation becomes:
[tex]4y-6=8[/tex]
Divide all by 4:
4 -6 8
--- --- ---
4 4 4
[tex]y=-\frac{3}{2}+2[/tex]
Hence, the final answer is [tex]y=-\frac{3}{2}+2[/tex]
Need help finding the slope and how to graph it.
Answer:
The slope is 2/3
Step-by-step explanation:
you need to use the equation y=rise over run, so the equation would be 2-4 over -2-1 and that would equal 2/3 and to graph you just need to find the y-intercept and put it together with the slope y=2/3+b
What is the solution of log (2 t 4) = log (14 minus 3 t)? –18 –2 2 10
The solution of [tex]\rm log(2t+4)=log(14-3t)[/tex] is t=2
It is given that:
[tex]\rm log(2t+4)=log(14-3t)[/tex]
It is required to find the value of 't'.
What is Logarithm?It is another way to represent the power of numbers ie.
[tex]a^b=c\\log_ac=b[/tex]
We have:
[tex]\rm log(2t+4)=log(14-3t)[/tex] [tex]\rm (Taking \ log_1_0 \ base \ and \ removing \ the \ log_1_0 \ from \ both \ the\ side)[/tex]
We will get:
[tex]\rm 2t+4=14-3t\\\rm 5t=10\\\rm t=2[/tex]
Therefore the solution of [tex]\rm log(2t+4)=log(14-3t)[/tex] is t=2
Learn more about the Logarithm here.
https://brainly.com/question/163125
$43 dinner ; 18% gratuity
What is the top asnwer...............
Can someone help me 5-13 please?
Answer: see below
Step-by-step explanation:
#5 - 7: Domain are the x-values and Range are the y-values.
5) Coordinates are: (-2, 3), (0, 3), (2, 3), (4, 3)
Domain: x = {3} Range: y = {-2, 0, 2, 4}
6) All points on the curve between -4 and 2 (x-values) & 3 and 6 (y-values). Endpoints are included.
Domain: -4 ≤ x ≤ 2 Range: 3 ≤ y ≤ 6
7) All points on the curve between 2 and 7 (x-values) & 1 and 6 (y-values). Endpoints are not included.
Domain: 2 < x < 7 Range: 1 < y < 6
#8 - 11: Choose points for x. Plug them into the equation to solve for y.
To graph the equation, plot the points and connect the dots.
8) x y = x
-2 -2
-1 -1
0 0
1 1
2 2
9) x y = 2x+1
-2 2(-2)+1 = -3
-1 2(-1)+1 = -1
0 2(-0)+1 = 1
1 2(1)+1 = 3
2 2(2)+1 = 5
Note:
You are allowed a maximum of 3 questions. I answered 5 questions. If you need help with the rest of your homework, you will need to create another post.
Write an equivalent multiplication equation to / 1 / 4 / 2 =
PLEASE ANSWER I WILL MARK BRAINLIST
Answer:
8
Step-by-step explanation:
Given: x ∥ y w is a transversal of x and y. Prove: ∠4 ≅ ∠5 Complete the two-column proof.
Answer:
A: vertical angles
B: corresponding angles theorem
C: transitive property
Step-by-step explanation:
Answer:
A: vertical angles
B: corresponding angles theorem
C: transitive property
Step-by-step explanation:
FINALS!! PLEASE HELP!
determine the number of solutions for (8x-2)=6(4x-1)
On a certain hot summer's day, 444 people used the public swimming pool. The daily prices are $1. 75 for children and $2. 50 for adults. The receipts for admission totaled $1065. 75. How many children and how many adults swam at the public pool that day
Answer:
the total receipt for admission is 1065.75? or just 1065? please tell me so I can help you T_T
Which expressions are equivalent to 78 • 7? Select all that apply.
Answer:
B & C are the correct answers
[tex]b. \: \: \frac{7 {}^{18} }{7 {}^{9} } \\ c. \: \: (7 {}^{3} ) {}^{3} \\ e. \: \: 7 {}^{4} .7 {}^{5} \\ \\ correct \: answers[/tex]
Thank you ☺️☺️
Help me please (question and answers in picture)
Answer: d
Step-by-step explanation: l
Answer:
Ans B should be correct.
Carter's baby formula cost $27.93 for 21 ounces. What is the unit rate per
ounce?
Answer:
$1.33
Step-by-step explanation:
27.93:21
Divide 27.93 by 21.
Devi’s dog weighs 4 times as much as her cat. Her dog also weighs 13 pounds more than the cat. How much does each pet weight?
Answer: The cat's weight is 4.33 pounds
• The dog's weight is 17.32 pounds.
Step-by-step explanation:
Let the weight of the cat be represented by a.
Devi’s dog weighs 4 times as much as her cat. This can be written as:
= 4 × a
= 4a
Her dog also weighs 13 pounds more than the cat. This can be written as:
= a + 13
We then equate both equations. This will be:
4a = a + 13
4a - a = 13
3a = 13
a = 13/3
a = 4.33 pounds
The cats weight is 4.33 pounds
Since the dog's weight = 4a = 4 × 4.33 = 17.32 pounds
Find the measures of the complementary angles that satisfy each case.
The measure of the first angle is 40° less than the measure of the second.
Answer: x+(x+40)=90
PLS SHOW UR WORK. IF U ARE ABLE TO, DO A STATEMENT AND REASONING.
Given:
The measure of the first angle is 40° less than the measure of the second.
To find:
The measures of the complementary angles that satisfy the given condition.
Solution:
Let the measure of first angle be x°.
According to the given condition,
First angle = Second angle - 40°
[tex]x^\circ =\text{Second angle}-40^\circ [/tex]
Add 40° on both sides.
[tex](x+40)^\circ =\text{Second angle}[/tex]
We know that, sum of complementary angles is 90°. So,
First angle + Second angle = 90°
[tex]x^\circ +(x+40)^\circ =90^\circ [/tex]
[tex]2x^\circ +40^\circ =90^\circ [/tex]
[tex]2x^\circ =90^\circ -40^\circ [/tex]
[tex]2x^\circ =50^\circ [/tex]
Divide both sides by 2.
[tex]x^\circ =25^\circ [/tex]
So, the measure of first angle is 25°.
[tex](x+40)^\circ =(25+40)^\circ =65^\circ[/tex]
So, the measure of second angle is 65°.
A bus driver marries a dental assistant. What is their
combined income each week?
Helppppp please
Answer:
it should be 1571.19
Step-by-step explanation:
If you combine the you just need to add them using the amount under weekly 584+987.19= 1571.19 weekly
What is the solution for the equation
(10-5y|= 20
Answer:
y = -2
Step-by-step explanation:
To find the answer, use property of inequality:
10-5y=20
Undo the +10, so - 10 to the other side
so,
-5y= 10, or -5xY.
so divide by -5 from both sides:
10/-5=-2
so, the remain of the equation is:
y = -2
which is the answer
A car comes to a stop, it slows from 25 m/s in 2. 8 sec. Find the acceleration of the car
Answer:
input the formula of acceleration and the the answer will be
8.928571429
In the figure, m∠2 = (20x + 52)° and m∠7 = (40x – 48)°
For what value of x is line m parallel to line n?
18
5
44
3
Answer:
The answer is 5
Step-by-step explanation:
I took the test :)
Answer 5
Step-by-step explanation:
How many solutions will this equation have? y = 2x^2 + 7x - 15
Find the length of segment XM
please HELP
Answer:
XM = 7
Step-by-step explanation:
M is the midpoint of XY , thus
XM = MY ( given XY is 7 ) , then
XM = 7
What are all the angles of rotational symmetry for a regular octagon?
Hint: An octagon has 8 sides.
options:
90°, 180°
60°, 120°, 180°, 240°, 300°
50°, 100°, 150°, 200°, 250°, 350°
45°, 90°, 135°, 180°, 225°, 270°, 315°
Answer:
45°, 90°, 135°, 180°, 225°, 270°, 315
Step-by-step explanation:
HEY CAN ANYONE PLS ANSWER DIS!!!!!
Answer:
$18
Step-by-step explanation:
2 software packages + 5 months of gameplay = $130
$40 + 5 months of gameplay = $130
5 months of gameplay = $90
1 month of gameplay = $18
Answer:
18 dollars
Step-by-step explanation:
m = months of game play
130 = (20 + 1m) + (20 + 4m)
130 = 40 + 5m
90 = 5m
18 = m
Hope that helps and have a great day! If ya want me to explain more let me know.
What is the greatest common factor shared by 9 and 57
Answer:
es 3
Step-by-step explanation:
Para encontrar el mcd de 9 y 57:
Los factores de 9 son 9, 3, 1.
Los factores de 57 son 57, 19, 3, 1.
Los factores en común de 9 y 57 son 3, 1, los cuales intersectan los dos conjuntos arriba.
En la intersección de los factores de 9 ∩ factores de 57 el elemento mayor es 3.
Por lo tanto, el máximo común divisor de 9 y 57 es 3.
Answer:
3
Step-by-step explanation:
9's multiples are 1, 3, and 9. 57's multiples are 1, 3, 19, and 57. The greatest common factor is 3 since that is the highest factor they share.
Nicholas wrote the steps below to
simplify the fraction _
20
30. Melanie divided the numerator and
denominator of _
20
30 by 2 to write the fraction in the simplest form.
Explain and correct the error that each student made.
Answer:
He does not divide the numerator and the denominator by the same number. Nicholas divides 20 by 5 and 30 by 6. He ought to have divided 30 by 5 as well and then simplified.
P.S. Nicholas should have just divided both 20 and 30 by 10 to simplify in one step
what is the area?
write your answer as a fraction or as a whole or mixed number
[tex] \underline \mathcal \pink{ GIVEN}[/tex]
Base = 2 9/10 kmHeight = 4 6/7 km[tex] \underline \mathcal \purple{ TO \: FIND}[/tex]
Area of the triangle[tex] \underline \mathcal \blue{CALCULATION}[/tex]
[tex] \qquad \tt \leadsto \: area = \frac{1}{2} \times base \times height[/tex]
[tex] \qquad \bf \nrightarrow \: area = \frac{1}{ \cancel2} \times \cancel2 \frac{9}{10} \times 4 \frac{6}{7} [/tex]
[tex] \qquad \bf \nrightarrow \: area = \frac{9}{ \cancel{10}} \times \cancel4 \frac{6}{7} [/tex]
[tex] \qquad \bf \nrightarrow \: area = \frac{9}{ 5} \times 2 \frac{6}{7} [/tex]
[tex] \qquad \bf \nrightarrow \: area = \frac{108}{ 35} \approx3.08 \: {km}^{2} [/tex]
Thus, The area of the triangle is 3.08 kilometers...~